%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL045-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 19:45:56 EDT 2022
% Result : Unsatisfiable 247.26s 247.48s
% Output : CNFRefutation 248.05s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(maddux1_join_commutativity_1,axiom,
join(A,B) = join(B,A) ).
cnf(maddux2_join_associativity_2,axiom,
join(A,join(B,C)) = join(join(A,B),C) ).
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(A,B) = complement(join(complement(A),complement(B))) ).
cnf(composition_associativity_5,axiom,
composition(A,composition(B,C)) = composition(composition(A,B),C) ).
cnf(composition_identity_6,axiom,
composition(A,one) = A ).
cnf(composition_distributivity_7,axiom,
composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ).
cnf(converse_idempotence_8,axiom,
converse(converse(A)) = A ).
cnf(converse_additivity_9,axiom,
converse(join(A,B)) = join(converse(A),converse(B)) ).
cnf(converse_multiplicativity_10,axiom,
converse(composition(A,B)) = composition(converse(B),converse(A)) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ).
cnf(def_top_12,axiom,
top = join(A,complement(A)) ).
cnf(def_zero_13,axiom,
zero = meet(A,complement(A)) ).
cnf(modular_law_1_15,axiom,
join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C) ).
cnf(goals_17,negated_conjecture,
join(sk1,composition(composition(sk1,converse(sk1)),sk1)) != composition(composition(sk1,converse(sk1)),sk1) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( composition(A,composition(B,C)) != composition(composition(A,B),C)
| composition(composition(A,B),C) = composition(A,composition(B,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(A,composition(B,C)))),bind(Y,$fot(composition(composition(A,B),C)))]]) ).
cnf(refute_0_4,plain,
composition(composition(A,B),C) = composition(A,composition(B,C)),
inference(resolve,[$cnf( $equal(composition(A,composition(B,C)),composition(composition(A,B),C)) )],[composition_associativity_5,refute_0_3]) ).
cnf(refute_0_5,plain,
composition(composition(sk1,converse(sk1)),sk1) = composition(sk1,composition(converse(sk1),sk1)),
inference(subst,[],[refute_0_4:[bind(A,$fot(sk1)),bind(B,$fot(converse(sk1))),bind(C,$fot(sk1))]]) ).
cnf(refute_0_6,plain,
join(sk1,composition(composition(sk1,converse(sk1)),sk1)) = join(sk1,composition(composition(sk1,converse(sk1)),sk1)),
introduced(tautology,[refl,[$fot(join(sk1,composition(composition(sk1,converse(sk1)),sk1)))]]) ).
cnf(refute_0_7,plain,
( composition(composition(sk1,converse(sk1)),sk1) != composition(sk1,composition(converse(sk1),sk1))
| join(sk1,composition(composition(sk1,converse(sk1)),sk1)) != join(sk1,composition(composition(sk1,converse(sk1)),sk1))
| join(sk1,composition(composition(sk1,converse(sk1)),sk1)) = join(sk1,composition(sk1,composition(converse(sk1),sk1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,composition(composition(sk1,converse(sk1)),sk1)),join(sk1,composition(composition(sk1,converse(sk1)),sk1))) ),[1,1],$fot(composition(sk1,composition(converse(sk1),sk1)))]]) ).
cnf(refute_0_8,plain,
( composition(composition(sk1,converse(sk1)),sk1) != composition(sk1,composition(converse(sk1),sk1))
| join(sk1,composition(composition(sk1,converse(sk1)),sk1)) = join(sk1,composition(sk1,composition(converse(sk1),sk1))) ),
inference(resolve,[$cnf( $equal(join(sk1,composition(composition(sk1,converse(sk1)),sk1)),join(sk1,composition(composition(sk1,converse(sk1)),sk1))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
join(sk1,composition(composition(sk1,converse(sk1)),sk1)) = join(sk1,composition(sk1,composition(converse(sk1),sk1))),
inference(resolve,[$cnf( $equal(composition(composition(sk1,converse(sk1)),sk1),composition(sk1,composition(converse(sk1),sk1))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( join(sk1,composition(composition(sk1,converse(sk1)),sk1)) != join(sk1,composition(sk1,composition(converse(sk1),sk1)))
| join(sk1,composition(sk1,composition(converse(sk1),sk1))) != composition(composition(sk1,converse(sk1)),sk1)
| join(sk1,composition(composition(sk1,converse(sk1)),sk1)) = composition(composition(sk1,converse(sk1)),sk1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,composition(composition(sk1,converse(sk1)),sk1)),composition(composition(sk1,converse(sk1)),sk1)) ),[0],$fot(join(sk1,composition(sk1,composition(converse(sk1),sk1))))]]) ).
cnf(refute_0_11,plain,
( join(sk1,composition(sk1,composition(converse(sk1),sk1))) != composition(composition(sk1,converse(sk1)),sk1)
| join(sk1,composition(composition(sk1,converse(sk1)),sk1)) = composition(composition(sk1,converse(sk1)),sk1) ),
inference(resolve,[$cnf( $equal(join(sk1,composition(composition(sk1,converse(sk1)),sk1)),join(sk1,composition(sk1,composition(converse(sk1),sk1)))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( composition(composition(sk1,converse(sk1)),sk1) != composition(sk1,composition(converse(sk1),sk1))
| join(sk1,composition(sk1,composition(converse(sk1),sk1))) != composition(sk1,composition(converse(sk1),sk1))
| join(sk1,composition(sk1,composition(converse(sk1),sk1))) = composition(composition(sk1,converse(sk1)),sk1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(sk1,composition(sk1,composition(converse(sk1),sk1))),composition(composition(sk1,converse(sk1)),sk1)) ),[1],$fot(composition(sk1,composition(converse(sk1),sk1)))]]) ).
cnf(refute_0_13,plain,
( join(sk1,composition(sk1,composition(converse(sk1),sk1))) != composition(sk1,composition(converse(sk1),sk1))
| join(sk1,composition(sk1,composition(converse(sk1),sk1))) = composition(composition(sk1,converse(sk1)),sk1) ),
inference(resolve,[$cnf( $equal(composition(composition(sk1,converse(sk1)),sk1),composition(sk1,composition(converse(sk1),sk1))) )],[refute_0_5,refute_0_12]) ).
cnf(refute_0_14,plain,
( join(sk1,composition(sk1,composition(converse(sk1),sk1))) != composition(sk1,composition(converse(sk1),sk1))
| join(sk1,composition(composition(sk1,converse(sk1)),sk1)) = composition(composition(sk1,converse(sk1)),sk1) ),
inference(resolve,[$cnf( $equal(join(sk1,composition(sk1,composition(converse(sk1),sk1))),composition(composition(sk1,converse(sk1)),sk1)) )],[refute_0_13,refute_0_11]) ).
cnf(refute_0_15,plain,
join(sk1,composition(sk1,composition(converse(sk1),sk1))) != composition(sk1,composition(converse(sk1),sk1)),
inference(resolve,[$cnf( $equal(join(sk1,composition(composition(sk1,converse(sk1)),sk1)),composition(composition(sk1,converse(sk1)),sk1)) )],[refute_0_14,goals_17]) ).
cnf(refute_0_16,plain,
composition(join(X_147,one),X_149) = join(composition(X_147,X_149),composition(one,X_149)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_147)),bind(B,$fot(one)),bind(C,$fot(X_149))]]) ).
cnf(refute_0_17,plain,
converse(composition(converse(A),X_35)) = composition(converse(X_35),converse(converse(A))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(converse(A))),bind(B,$fot(X_35))]]) ).
cnf(refute_0_18,plain,
( converse(composition(converse(A),X_35)) != composition(converse(X_35),converse(converse(A)))
| converse(converse(A)) != A
| converse(composition(converse(A),X_35)) = composition(converse(X_35),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),X_35)),composition(converse(X_35),converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_19,plain,
( converse(composition(converse(A),X_35)) != composition(converse(X_35),converse(converse(A)))
| converse(composition(converse(A),X_35)) = composition(converse(X_35),A) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_18]) ).
cnf(refute_0_20,plain,
converse(composition(converse(A),X_35)) = composition(converse(X_35),A),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),X_35)),composition(converse(X_35),converse(converse(A)))) )],[refute_0_17,refute_0_19]) ).
cnf(refute_0_21,plain,
converse(composition(converse(X_36),one)) = composition(converse(one),X_36),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_36)),bind(X_35,$fot(one))]]) ).
cnf(refute_0_22,plain,
composition(converse(X_36),one) = converse(X_36),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(X_36)))]]) ).
cnf(refute_0_23,plain,
( composition(converse(X_36),one) != converse(X_36)
| converse(composition(converse(X_36),one)) != composition(converse(one),X_36)
| converse(converse(X_36)) = composition(converse(one),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_36),one)),composition(converse(one),X_36)) ),[0,0],$fot(converse(X_36))]]) ).
cnf(refute_0_24,plain,
( converse(composition(converse(X_36),one)) != composition(converse(one),X_36)
| converse(converse(X_36)) = composition(converse(one),X_36) ),
inference(resolve,[$cnf( $equal(composition(converse(X_36),one),converse(X_36)) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
converse(converse(X_36)) = composition(converse(one),X_36),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_36),one)),composition(converse(one),X_36)) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
converse(converse(X_36)) = X_36,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_36))]]) ).
cnf(refute_0_27,plain,
( converse(converse(X_36)) != X_36
| converse(converse(X_36)) != composition(converse(one),X_36)
| X_36 = composition(converse(one),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_36)),composition(converse(one),X_36)) ),[0],$fot(X_36)]]) ).
cnf(refute_0_28,plain,
( converse(converse(X_36)) != composition(converse(one),X_36)
| X_36 = composition(converse(one),X_36) ),
inference(resolve,[$cnf( $equal(converse(converse(X_36)),X_36) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
X_36 = composition(converse(one),X_36),
inference(resolve,[$cnf( $equal(converse(converse(X_36)),composition(converse(one),X_36)) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(one)))]]) ).
cnf(refute_0_31,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_29:[bind(X_36,$fot(one))]]) ).
cnf(refute_0_32,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_33,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_35,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_30,refute_0_35]) ).
cnf(refute_0_37,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_38,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
composition(converse(one),X_36) = composition(converse(one),X_36),
introduced(tautology,[refl,[$fot(composition(converse(one),X_36))]]) ).
cnf(refute_0_40,plain,
( composition(converse(one),X_36) != composition(converse(one),X_36)
| converse(one) != one
| composition(converse(one),X_36) = composition(one,X_36) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_36),composition(converse(one),X_36)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_41,plain,
( converse(one) != one
| composition(converse(one),X_36) = composition(one,X_36) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_36),composition(converse(one),X_36)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
composition(converse(one),X_36) = composition(one,X_36),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
( X_36 != composition(converse(one),X_36)
| composition(converse(one),X_36) != composition(one,X_36)
| X_36 = composition(one,X_36) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_36,composition(one,X_36)) ),[0],$fot(composition(converse(one),X_36))]]) ).
cnf(refute_0_44,plain,
( X_36 != composition(converse(one),X_36)
| X_36 = composition(one,X_36) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_36),composition(one,X_36)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
X_36 = composition(one,X_36),
inference(resolve,[$cnf( $equal(X_36,composition(converse(one),X_36)) )],[refute_0_29,refute_0_44]) ).
cnf(refute_0_46,plain,
X_149 = composition(one,X_149),
inference(subst,[],[refute_0_45:[bind(X_36,$fot(X_149))]]) ).
cnf(refute_0_47,plain,
( X_149 != composition(one,X_149)
| composition(one,X_149) = X_149 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_149)),bind(Y,$fot(composition(one,X_149)))]]) ).
cnf(refute_0_48,plain,
composition(one,X_149) = X_149,
inference(resolve,[$cnf( $equal(X_149,composition(one,X_149)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
( composition(join(X_147,one),X_149) != join(composition(X_147,X_149),composition(one,X_149))
| composition(one,X_149) != X_149
| composition(join(X_147,one),X_149) = join(composition(X_147,X_149),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_147,one),X_149),join(composition(X_147,X_149),composition(one,X_149))) ),[1,1],$fot(X_149)]]) ).
cnf(refute_0_50,plain,
( composition(join(X_147,one),X_149) != join(composition(X_147,X_149),composition(one,X_149))
| composition(join(X_147,one),X_149) = join(composition(X_147,X_149),X_149) ),
inference(resolve,[$cnf( $equal(composition(one,X_149),X_149) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
composition(join(X_147,one),X_149) = join(composition(X_147,X_149),X_149),
inference(resolve,[$cnf( $equal(composition(join(X_147,one),X_149),join(composition(X_147,X_149),composition(one,X_149))) )],[refute_0_16,refute_0_50]) ).
cnf(refute_0_52,plain,
( join(A,B) != join(B,A)
| join(B,A) = join(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,B))),bind(Y,$fot(join(B,A)))]]) ).
cnf(refute_0_53,plain,
join(B,A) = join(A,B),
inference(resolve,[$cnf( $equal(join(A,B),join(B,A)) )],[maddux1_join_commutativity_1,refute_0_52]) ).
cnf(refute_0_54,plain,
join(composition(X_147,X_149),X_149) = join(X_149,composition(X_147,X_149)),
inference(subst,[],[refute_0_53:[bind(A,$fot(X_149)),bind(B,$fot(composition(X_147,X_149)))]]) ).
cnf(refute_0_55,plain,
( composition(join(X_147,one),X_149) != join(composition(X_147,X_149),X_149)
| join(composition(X_147,X_149),X_149) != join(X_149,composition(X_147,X_149))
| composition(join(X_147,one),X_149) = join(X_149,composition(X_147,X_149)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_147,one),X_149),join(X_149,composition(X_147,X_149))) ),[0],$fot(join(composition(X_147,X_149),X_149))]]) ).
cnf(refute_0_56,plain,
( composition(join(X_147,one),X_149) != join(composition(X_147,X_149),X_149)
| composition(join(X_147,one),X_149) = join(X_149,composition(X_147,X_149)) ),
inference(resolve,[$cnf( $equal(join(composition(X_147,X_149),X_149),join(X_149,composition(X_147,X_149))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
composition(join(X_147,one),X_149) = join(X_149,composition(X_147,X_149)),
inference(resolve,[$cnf( $equal(composition(join(X_147,one),X_149),join(composition(X_147,X_149),X_149)) )],[refute_0_51,refute_0_56]) ).
cnf(refute_0_58,plain,
composition(join(composition(A,B),one),X_151) = join(X_151,composition(composition(A,B),X_151)),
inference(subst,[],[refute_0_57:[bind(X_147,$fot(composition(A,B))),bind(X_149,$fot(X_151))]]) ).
cnf(refute_0_59,plain,
composition(A,composition(B,X_151)) = composition(composition(A,B),X_151),
inference(subst,[],[composition_associativity_5:[bind(C,$fot(X_151))]]) ).
cnf(refute_0_60,plain,
( composition(A,composition(B,X_151)) != composition(composition(A,B),X_151)
| composition(composition(A,B),X_151) = composition(A,composition(B,X_151)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(A,composition(B,X_151)))),bind(Y,$fot(composition(composition(A,B),X_151)))]]) ).
cnf(refute_0_61,plain,
composition(composition(A,B),X_151) = composition(A,composition(B,X_151)),
inference(resolve,[$cnf( $equal(composition(A,composition(B,X_151)),composition(composition(A,B),X_151)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( composition(composition(A,B),X_151) != composition(A,composition(B,X_151))
| composition(join(composition(A,B),one),X_151) != join(X_151,composition(composition(A,B),X_151))
| composition(join(composition(A,B),one),X_151) = join(X_151,composition(A,composition(B,X_151))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(A,B),one),X_151),join(X_151,composition(composition(A,B),X_151))) ),[1,1],$fot(composition(A,composition(B,X_151)))]]) ).
cnf(refute_0_63,plain,
( composition(join(composition(A,B),one),X_151) != join(X_151,composition(composition(A,B),X_151))
| composition(join(composition(A,B),one),X_151) = join(X_151,composition(A,composition(B,X_151))) ),
inference(resolve,[$cnf( $equal(composition(composition(A,B),X_151),composition(A,composition(B,X_151))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
composition(join(composition(A,B),one),X_151) = join(X_151,composition(A,composition(B,X_151))),
inference(resolve,[$cnf( $equal(composition(join(composition(A,B),one),X_151),join(X_151,composition(composition(A,B),X_151))) )],[refute_0_58,refute_0_63]) ).
cnf(refute_0_65,plain,
composition(join(X_150,one),X_151) = join(X_151,composition(X_150,X_151)),
inference(subst,[],[refute_0_57:[bind(X_147,$fot(X_150)),bind(X_149,$fot(X_151))]]) ).
cnf(refute_0_66,plain,
join(one,X_150) = join(X_150,one),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(one)),bind(B,$fot(X_150))]]) ).
cnf(refute_0_67,plain,
( join(one,X_150) != join(X_150,one)
| join(X_150,one) = join(one,X_150) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,X_150))),bind(Y,$fot(join(X_150,one)))]]) ).
cnf(refute_0_68,plain,
join(X_150,one) = join(one,X_150),
inference(resolve,[$cnf( $equal(join(one,X_150),join(X_150,one)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( composition(join(X_150,one),X_151) != join(X_151,composition(X_150,X_151))
| join(X_150,one) != join(one,X_150)
| composition(join(one,X_150),X_151) = join(X_151,composition(X_150,X_151)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_150,one),X_151),join(X_151,composition(X_150,X_151))) ),[0,0],$fot(join(one,X_150))]]) ).
cnf(refute_0_70,plain,
( composition(join(X_150,one),X_151) != join(X_151,composition(X_150,X_151))
| composition(join(one,X_150),X_151) = join(X_151,composition(X_150,X_151)) ),
inference(resolve,[$cnf( $equal(join(X_150,one),join(one,X_150)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
composition(join(one,X_150),X_151) = join(X_151,composition(X_150,X_151)),
inference(resolve,[$cnf( $equal(composition(join(X_150,one),X_151),join(X_151,composition(X_150,X_151))) )],[refute_0_65,refute_0_70]) ).
cnf(refute_0_72,plain,
( composition(join(X_147,one),X_149) != join(X_149,composition(X_147,X_149))
| join(X_149,composition(X_147,X_149)) = composition(join(X_147,one),X_149) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_147,one),X_149))),bind(Y,$fot(join(X_149,composition(X_147,X_149))))]]) ).
cnf(refute_0_73,plain,
join(X_149,composition(X_147,X_149)) = composition(join(X_147,one),X_149),
inference(resolve,[$cnf( $equal(composition(join(X_147,one),X_149),join(X_149,composition(X_147,X_149))) )],[refute_0_57,refute_0_72]) ).
cnf(refute_0_74,plain,
join(X_151,composition(X_150,X_151)) = composition(join(X_150,one),X_151),
inference(subst,[],[refute_0_73:[bind(X_147,$fot(X_150)),bind(X_149,$fot(X_151))]]) ).
cnf(refute_0_75,plain,
( composition(join(one,X_150),X_151) != join(X_151,composition(X_150,X_151))
| join(X_151,composition(X_150,X_151)) != composition(join(X_150,one),X_151)
| composition(join(one,X_150),X_151) = composition(join(X_150,one),X_151) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_150),X_151),composition(join(X_150,one),X_151)) ),[0],$fot(join(X_151,composition(X_150,X_151)))]]) ).
cnf(refute_0_76,plain,
( composition(join(one,X_150),X_151) != join(X_151,composition(X_150,X_151))
| composition(join(one,X_150),X_151) = composition(join(X_150,one),X_151) ),
inference(resolve,[$cnf( $equal(join(X_151,composition(X_150,X_151)),composition(join(X_150,one),X_151)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
composition(join(one,X_150),X_151) = composition(join(X_150,one),X_151),
inference(resolve,[$cnf( $equal(composition(join(one,X_150),X_151),join(X_151,composition(X_150,X_151))) )],[refute_0_71,refute_0_76]) ).
cnf(refute_0_78,plain,
( composition(join(one,X_150),X_151) != composition(join(X_150,one),X_151)
| composition(join(X_150,one),X_151) = composition(join(one,X_150),X_151) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(one,X_150),X_151))),bind(Y,$fot(composition(join(X_150,one),X_151)))]]) ).
cnf(refute_0_79,plain,
composition(join(X_150,one),X_151) = composition(join(one,X_150),X_151),
inference(resolve,[$cnf( $equal(composition(join(one,X_150),X_151),composition(join(X_150,one),X_151)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
composition(join(composition(A,B),one),X_151) = composition(join(one,composition(A,B)),X_151),
inference(subst,[],[refute_0_79:[bind(X_150,$fot(composition(A,B)))]]) ).
cnf(refute_0_81,plain,
( composition(join(composition(A,B),one),X_151) != composition(join(one,composition(A,B)),X_151)
| composition(join(composition(A,B),one),X_151) != join(X_151,composition(A,composition(B,X_151)))
| composition(join(one,composition(A,B)),X_151) = join(X_151,composition(A,composition(B,X_151))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(A,B),one),X_151),join(X_151,composition(A,composition(B,X_151)))) ),[0],$fot(composition(join(one,composition(A,B)),X_151))]]) ).
cnf(refute_0_82,plain,
( composition(join(composition(A,B),one),X_151) != join(X_151,composition(A,composition(B,X_151)))
| composition(join(one,composition(A,B)),X_151) = join(X_151,composition(A,composition(B,X_151))) ),
inference(resolve,[$cnf( $equal(composition(join(composition(A,B),one),X_151),composition(join(one,composition(A,B)),X_151)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
composition(join(one,composition(A,B)),X_151) = join(X_151,composition(A,composition(B,X_151))),
inference(resolve,[$cnf( $equal(composition(join(composition(A,B),one),X_151),join(X_151,composition(A,composition(B,X_151)))) )],[refute_0_64,refute_0_82]) ).
cnf(refute_0_84,plain,
( composition(join(one,composition(A,B)),X_151) != join(X_151,composition(A,composition(B,X_151)))
| join(X_151,composition(A,composition(B,X_151))) = composition(join(one,composition(A,B)),X_151) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(one,composition(A,B)),X_151))),bind(Y,$fot(join(X_151,composition(A,composition(B,X_151)))))]]) ).
cnf(refute_0_85,plain,
join(X_151,composition(A,composition(B,X_151))) = composition(join(one,composition(A,B)),X_151),
inference(resolve,[$cnf( $equal(composition(join(one,composition(A,B)),X_151),join(X_151,composition(A,composition(B,X_151)))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
join(sk1,composition(sk1,composition(converse(sk1),sk1))) = composition(join(one,composition(sk1,converse(sk1))),sk1),
inference(subst,[],[refute_0_85:[bind(A,$fot(sk1)),bind(B,$fot(converse(sk1))),bind(X_151,$fot(sk1))]]) ).
cnf(refute_0_87,plain,
( composition(join(one,composition(sk1,converse(sk1))),sk1) != composition(sk1,composition(converse(sk1),sk1))
| join(sk1,composition(sk1,composition(converse(sk1),sk1))) != composition(join(one,composition(sk1,converse(sk1))),sk1)
| join(sk1,composition(sk1,composition(converse(sk1),sk1))) = composition(sk1,composition(converse(sk1),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,composition(sk1,composition(converse(sk1),sk1))),composition(join(one,composition(sk1,converse(sk1))),sk1)) ),[1],$fot(composition(sk1,composition(converse(sk1),sk1)))]]) ).
cnf(refute_0_88,plain,
( composition(join(one,composition(sk1,converse(sk1))),sk1) != composition(sk1,composition(converse(sk1),sk1))
| join(sk1,composition(sk1,composition(converse(sk1),sk1))) = composition(sk1,composition(converse(sk1),sk1)) ),
inference(resolve,[$cnf( $equal(join(sk1,composition(sk1,composition(converse(sk1),sk1))),composition(join(one,composition(sk1,converse(sk1))),sk1)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
composition(join(one,composition(sk1,converse(sk1))),sk1) != composition(sk1,composition(converse(sk1),sk1)),
inference(resolve,[$cnf( $equal(join(sk1,composition(sk1,composition(converse(sk1),sk1))),composition(sk1,composition(converse(sk1),sk1))) )],[refute_0_88,refute_0_15]) ).
cnf(refute_0_90,plain,
converse(join(converse(A),X_5)) = join(converse(converse(A)),converse(X_5)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(converse(A))),bind(B,$fot(X_5))]]) ).
cnf(refute_0_91,plain,
( converse(converse(A)) != A
| converse(join(converse(A),X_5)) != join(converse(converse(A)),converse(X_5))
| converse(join(converse(A),X_5)) = join(A,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),X_5)),join(converse(converse(A)),converse(X_5))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_92,plain,
( converse(join(converse(A),X_5)) != join(converse(converse(A)),converse(X_5))
| converse(join(converse(A),X_5)) = join(A,converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_91]) ).
cnf(refute_0_93,plain,
converse(join(converse(A),X_5)) = join(A,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_5)),join(converse(converse(A)),converse(X_5))) )],[refute_0_90,refute_0_92]) ).
cnf(refute_0_94,plain,
converse(join(converse(A),composition(X_150,converse(A)))) = join(A,converse(composition(X_150,converse(A)))),
inference(subst,[],[refute_0_93:[bind(X_5,$fot(composition(X_150,converse(A))))]]) ).
cnf(refute_0_95,plain,
composition(join(X_150,one),converse(A)) = join(converse(A),composition(X_150,converse(A))),
inference(subst,[],[refute_0_57:[bind(X_147,$fot(X_150)),bind(X_149,$fot(converse(A)))]]) ).
cnf(refute_0_96,plain,
( composition(join(X_150,one),converse(A)) != join(converse(A),composition(X_150,converse(A)))
| join(converse(A),composition(X_150,converse(A))) = composition(join(X_150,one),converse(A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_150,one),converse(A)))),bind(Y,$fot(join(converse(A),composition(X_150,converse(A)))))]]) ).
cnf(refute_0_97,plain,
join(converse(A),composition(X_150,converse(A))) = composition(join(X_150,one),converse(A)),
inference(resolve,[$cnf( $equal(composition(join(X_150,one),converse(A)),join(converse(A),composition(X_150,converse(A)))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
( converse(join(converse(A),composition(X_150,converse(A)))) != join(A,converse(composition(X_150,converse(A))))
| join(converse(A),composition(X_150,converse(A))) != composition(join(X_150,one),converse(A))
| converse(composition(join(X_150,one),converse(A))) = join(A,converse(composition(X_150,converse(A)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),composition(X_150,converse(A)))),join(A,converse(composition(X_150,converse(A))))) ),[0,0],$fot(composition(join(X_150,one),converse(A)))]]) ).
cnf(refute_0_99,plain,
( converse(join(converse(A),composition(X_150,converse(A)))) != join(A,converse(composition(X_150,converse(A))))
| converse(composition(join(X_150,one),converse(A))) = join(A,converse(composition(X_150,converse(A)))) ),
inference(resolve,[$cnf( $equal(join(converse(A),composition(X_150,converse(A))),composition(join(X_150,one),converse(A))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
converse(composition(join(X_150,one),converse(A))) = join(A,converse(composition(X_150,converse(A)))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),composition(X_150,converse(A)))),join(A,converse(composition(X_150,converse(A))))) )],[refute_0_94,refute_0_99]) ).
cnf(refute_0_101,plain,
converse(composition(X_34,converse(A))) = composition(converse(converse(A)),converse(X_34)),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(X_34)),bind(B,$fot(converse(A)))]]) ).
cnf(refute_0_102,plain,
( converse(composition(X_34,converse(A))) != composition(converse(converse(A)),converse(X_34))
| converse(converse(A)) != A
| converse(composition(X_34,converse(A))) = composition(A,converse(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_34,converse(A))),composition(converse(converse(A)),converse(X_34))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_103,plain,
( converse(composition(X_34,converse(A))) != composition(converse(converse(A)),converse(X_34))
| converse(composition(X_34,converse(A))) = composition(A,converse(X_34)) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_102]) ).
cnf(refute_0_104,plain,
converse(composition(X_34,converse(A))) = composition(A,converse(X_34)),
inference(resolve,[$cnf( $equal(converse(composition(X_34,converse(A))),composition(converse(converse(A)),converse(X_34))) )],[refute_0_101,refute_0_103]) ).
cnf(refute_0_105,plain,
converse(composition(join(X_150,one),converse(A))) = composition(A,converse(join(X_150,one))),
inference(subst,[],[refute_0_104:[bind(X_34,$fot(join(X_150,one)))]]) ).
cnf(refute_0_106,plain,
( converse(composition(join(X_150,one),converse(A))) != composition(A,converse(join(X_150,one)))
| converse(composition(join(X_150,one),converse(A))) != join(A,converse(composition(X_150,converse(A))))
| composition(A,converse(join(X_150,one))) = join(A,converse(composition(X_150,converse(A)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_150,one),converse(A))),join(A,converse(composition(X_150,converse(A))))) ),[0],$fot(composition(A,converse(join(X_150,one))))]]) ).
cnf(refute_0_107,plain,
( converse(composition(join(X_150,one),converse(A))) != join(A,converse(composition(X_150,converse(A))))
| composition(A,converse(join(X_150,one))) = join(A,converse(composition(X_150,converse(A)))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_150,one),converse(A))),composition(A,converse(join(X_150,one)))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
converse(composition(X_150,converse(A))) = composition(A,converse(X_150)),
inference(subst,[],[refute_0_104:[bind(X_34,$fot(X_150))]]) ).
cnf(refute_0_109,plain,
join(A,converse(composition(X_150,converse(A)))) = join(A,converse(composition(X_150,converse(A)))),
introduced(tautology,[refl,[$fot(join(A,converse(composition(X_150,converse(A)))))]]) ).
cnf(refute_0_110,plain,
( converse(composition(X_150,converse(A))) != composition(A,converse(X_150))
| join(A,converse(composition(X_150,converse(A)))) != join(A,converse(composition(X_150,converse(A))))
| join(A,converse(composition(X_150,converse(A)))) = join(A,composition(A,converse(X_150))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(composition(X_150,converse(A)))),join(A,converse(composition(X_150,converse(A))))) ),[1,1],$fot(composition(A,converse(X_150)))]]) ).
cnf(refute_0_111,plain,
( converse(composition(X_150,converse(A))) != composition(A,converse(X_150))
| join(A,converse(composition(X_150,converse(A)))) = join(A,composition(A,converse(X_150))) ),
inference(resolve,[$cnf( $equal(join(A,converse(composition(X_150,converse(A)))),join(A,converse(composition(X_150,converse(A))))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
join(A,converse(composition(X_150,converse(A)))) = join(A,composition(A,converse(X_150))),
inference(resolve,[$cnf( $equal(converse(composition(X_150,converse(A))),composition(A,converse(X_150))) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
( composition(A,converse(join(X_150,one))) != join(A,converse(composition(X_150,converse(A))))
| join(A,converse(composition(X_150,converse(A)))) != join(A,composition(A,converse(X_150)))
| composition(A,converse(join(X_150,one))) = join(A,composition(A,converse(X_150))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(A,converse(join(X_150,one))),join(A,composition(A,converse(X_150)))) ),[0],$fot(join(A,converse(composition(X_150,converse(A)))))]]) ).
cnf(refute_0_114,plain,
( composition(A,converse(join(X_150,one))) != join(A,converse(composition(X_150,converse(A))))
| composition(A,converse(join(X_150,one))) = join(A,composition(A,converse(X_150))) ),
inference(resolve,[$cnf( $equal(join(A,converse(composition(X_150,converse(A)))),join(A,composition(A,converse(X_150)))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
( converse(composition(join(X_150,one),converse(A))) != join(A,converse(composition(X_150,converse(A))))
| composition(A,converse(join(X_150,one))) = join(A,composition(A,converse(X_150))) ),
inference(resolve,[$cnf( $equal(composition(A,converse(join(X_150,one))),join(A,converse(composition(X_150,converse(A))))) )],[refute_0_107,refute_0_114]) ).
cnf(refute_0_116,plain,
composition(A,converse(join(X_150,one))) = join(A,composition(A,converse(X_150))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_150,one),converse(A))),join(A,converse(composition(X_150,converse(A))))) )],[refute_0_100,refute_0_115]) ).
cnf(refute_0_117,plain,
composition(X_1433,converse(join(converse(A),one))) = join(X_1433,composition(X_1433,converse(converse(A)))),
inference(subst,[],[refute_0_116:[bind(A,$fot(X_1433)),bind(X_150,$fot(converse(A)))]]) ).
cnf(refute_0_118,plain,
( composition(X_1433,converse(join(converse(A),one))) != join(X_1433,composition(X_1433,converse(converse(A))))
| converse(converse(A)) != A
| composition(X_1433,converse(join(converse(A),one))) = join(X_1433,composition(X_1433,A)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_1433,converse(join(converse(A),one))),join(X_1433,composition(X_1433,converse(converse(A))))) ),[1,1,1],$fot(A)]]) ).
cnf(refute_0_119,plain,
( composition(X_1433,converse(join(converse(A),one))) != join(X_1433,composition(X_1433,converse(converse(A))))
| composition(X_1433,converse(join(converse(A),one))) = join(X_1433,composition(X_1433,A)) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_118]) ).
cnf(refute_0_120,plain,
composition(X_1433,converse(join(converse(A),one))) = join(X_1433,composition(X_1433,A)),
inference(resolve,[$cnf( $equal(composition(X_1433,converse(join(converse(A),one))),join(X_1433,composition(X_1433,converse(converse(A))))) )],[refute_0_117,refute_0_119]) ).
cnf(refute_0_121,plain,
join(converse(one),A) = join(converse(one),A),
introduced(tautology,[refl,[$fot(join(converse(one),A))]]) ).
cnf(refute_0_122,plain,
( converse(one) != one
| join(converse(one),A) != join(converse(one),A)
| join(converse(one),A) = join(one,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),A),join(converse(one),A)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_123,plain,
( converse(one) != one
| join(converse(one),A) = join(one,A) ),
inference(resolve,[$cnf( $equal(join(converse(one),A),join(converse(one),A)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
join(converse(one),A) = join(one,A),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_38,refute_0_123]) ).
cnf(refute_0_125,plain,
converse(join(X_4,converse(A))) = join(converse(X_4),converse(converse(A))),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(X_4)),bind(B,$fot(converse(A)))]]) ).
cnf(refute_0_126,plain,
( converse(converse(A)) != A
| converse(join(X_4,converse(A))) != join(converse(X_4),converse(converse(A)))
| converse(join(X_4,converse(A))) = join(converse(X_4),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(A))),join(converse(X_4),converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_127,plain,
( converse(join(X_4,converse(A))) != join(converse(X_4),converse(converse(A)))
| converse(join(X_4,converse(A))) = join(converse(X_4),A) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_126]) ).
cnf(refute_0_128,plain,
converse(join(X_4,converse(A))) = join(converse(X_4),A),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(A))),join(converse(X_4),converse(converse(A)))) )],[refute_0_125,refute_0_127]) ).
cnf(refute_0_129,plain,
converse(join(one,converse(A))) = join(converse(one),A),
inference(subst,[],[refute_0_128:[bind(X_4,$fot(one))]]) ).
cnf(refute_0_130,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_131,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_130]) ).
cnf(refute_0_132,plain,
( converse(join(one,converse(A))) != join(converse(one),A)
| join(converse(one),A) != join(one,A)
| converse(join(one,converse(A))) = join(one,A) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(one,converse(A))))),bind(Y,$fot(join(converse(one),A))),bind(Z,$fot(join(one,A)))]]) ).
cnf(refute_0_133,plain,
( join(converse(one),A) != join(one,A)
| converse(join(one,converse(A))) = join(one,A) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(A))),join(converse(one),A)) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
converse(join(one,converse(A))) = join(one,A),
inference(resolve,[$cnf( $equal(join(converse(one),A),join(one,A)) )],[refute_0_124,refute_0_133]) ).
cnf(refute_0_135,plain,
composition(X_1433,converse(join(one,converse(A)))) = composition(X_1433,converse(join(one,converse(A)))),
introduced(tautology,[refl,[$fot(composition(X_1433,converse(join(one,converse(A)))))]]) ).
cnf(refute_0_136,plain,
( composition(X_1433,converse(join(one,converse(A)))) != composition(X_1433,converse(join(one,converse(A))))
| converse(join(one,converse(A))) != join(one,A)
| composition(X_1433,converse(join(one,converse(A)))) = composition(X_1433,join(one,A)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_1433,converse(join(one,converse(A)))),composition(X_1433,converse(join(one,converse(A))))) ),[1,1],$fot(join(one,A))]]) ).
cnf(refute_0_137,plain,
( converse(join(one,converse(A))) != join(one,A)
| composition(X_1433,converse(join(one,converse(A)))) = composition(X_1433,join(one,A)) ),
inference(resolve,[$cnf( $equal(composition(X_1433,converse(join(one,converse(A)))),composition(X_1433,converse(join(one,converse(A))))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
composition(X_1433,converse(join(one,converse(A)))) = composition(X_1433,join(one,A)),
inference(resolve,[$cnf( $equal(converse(join(one,converse(A))),join(one,A)) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
join(X_119,join(X_120,X_121)) = join(join(X_119,X_120),X_121),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_119)),bind(B,$fot(X_120)),bind(C,$fot(X_121))]]) ).
cnf(refute_0_140,plain,
join(X_120,X_119) = join(X_119,X_120),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_120)),bind(B,$fot(X_119))]]) ).
cnf(refute_0_141,plain,
( join(X_120,X_119) != join(X_119,X_120)
| join(X_119,X_120) = join(X_120,X_119) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_120,X_119))),bind(Y,$fot(join(X_119,X_120)))]]) ).
cnf(refute_0_142,plain,
join(X_119,X_120) = join(X_120,X_119),
inference(resolve,[$cnf( $equal(join(X_120,X_119),join(X_119,X_120)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
( join(X_119,X_120) != join(X_120,X_119)
| join(X_119,join(X_120,X_121)) != join(join(X_119,X_120),X_121)
| join(X_119,join(X_120,X_121)) = join(join(X_120,X_119),X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_119,join(X_120,X_121)),join(join(X_119,X_120),X_121)) ),[1,0],$fot(join(X_120,X_119))]]) ).
cnf(refute_0_144,plain,
( join(X_119,join(X_120,X_121)) != join(join(X_119,X_120),X_121)
| join(X_119,join(X_120,X_121)) = join(join(X_120,X_119),X_121) ),
inference(resolve,[$cnf( $equal(join(X_119,X_120),join(X_120,X_119)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
join(X_119,join(X_120,X_121)) = join(join(X_120,X_119),X_121),
inference(resolve,[$cnf( $equal(join(X_119,join(X_120,X_121)),join(join(X_119,X_120),X_121)) )],[refute_0_139,refute_0_144]) ).
cnf(refute_0_146,plain,
( join(A,join(B,C)) != join(join(A,B),C)
| join(join(A,B),C) = join(A,join(B,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(B,C)))),bind(Y,$fot(join(join(A,B),C)))]]) ).
cnf(refute_0_147,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(resolve,[$cnf( $equal(join(A,join(B,C)),join(join(A,B),C)) )],[maddux2_join_associativity_2,refute_0_146]) ).
cnf(refute_0_148,plain,
join(join(X_120,X_119),X_121) = join(X_120,join(X_119,X_121)),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_120)),bind(B,$fot(X_119)),bind(C,$fot(X_121))]]) ).
cnf(refute_0_149,plain,
( join(X_119,join(X_120,X_121)) != join(join(X_120,X_119),X_121)
| join(join(X_120,X_119),X_121) != join(X_120,join(X_119,X_121))
| join(X_119,join(X_120,X_121)) = join(X_120,join(X_119,X_121)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_119,join(X_120,X_121)),join(X_120,join(X_119,X_121))) ),[0],$fot(join(join(X_120,X_119),X_121))]]) ).
cnf(refute_0_150,plain,
( join(X_119,join(X_120,X_121)) != join(join(X_120,X_119),X_121)
| join(X_119,join(X_120,X_121)) = join(X_120,join(X_119,X_121)) ),
inference(resolve,[$cnf( $equal(join(join(X_120,X_119),X_121),join(X_120,join(X_119,X_121))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
join(X_119,join(X_120,X_121)) = join(X_120,join(X_119,X_121)),
inference(resolve,[$cnf( $equal(join(X_119,join(X_120,X_121)),join(join(X_120,X_119),X_121)) )],[refute_0_145,refute_0_150]) ).
cnf(refute_0_152,plain,
join(X_298,join(X_300,X_300)) = join(X_300,join(X_298,X_300)),
inference(subst,[],[refute_0_151:[bind(X_119,$fot(X_298)),bind(X_120,$fot(X_300)),bind(X_121,$fot(X_300))]]) ).
cnf(refute_0_153,plain,
join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(join(complement(A),B)))),bind(B,$fot(complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_154,plain,
( A != join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))
| join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
| A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) ),[0],$fot(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))))]]) ).
cnf(refute_0_155,plain,
( A != join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))
| A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(resolve,[$cnf( $equal(A,join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))) )],[maddux3_a_kind_of_de_Morgan_3,refute_0_155]) ).
cnf(refute_0_157,plain,
join(complement(join(complement(A),B)),meet(A,B)) = join(meet(A,B),complement(join(complement(A),B))),
inference(subst,[],[refute_0_53:[bind(A,$fot(meet(A,B))),bind(B,$fot(complement(join(complement(A),B))))]]) ).
cnf(refute_0_158,plain,
( meet(A,B) != complement(join(complement(A),complement(B)))
| complement(join(complement(A),complement(B))) = meet(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,B))),bind(Y,$fot(complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_159,plain,
complement(join(complement(A),complement(B))) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(A,B),complement(join(complement(A),complement(B)))) )],[maddux4_definiton_of_meet_4,refute_0_158]) ).
cnf(refute_0_160,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_161,plain,
( complement(join(complement(A),complement(B))) != meet(A,B)
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),meet(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) ),[1,1],$fot(meet(A,B))]]) ).
cnf(refute_0_162,plain,
( complement(join(complement(A),complement(B))) != meet(A,B)
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),meet(A,B)) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(complement(join(complement(A),B)),meet(A,B)),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_159,refute_0_162]) ).
cnf(refute_0_164,plain,
( join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(complement(join(complement(A),B)),meet(A,B))
| join(complement(join(complement(A),B)),meet(A,B)) != join(meet(A,B),complement(join(complement(A),B)))
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))))),bind(Y,$fot(join(complement(join(complement(A),B)),meet(A,B)))),bind(Z,$fot(join(meet(A,B),complement(join(complement(A),B)))))]]) ).
cnf(refute_0_165,plain,
( join(complement(join(complement(A),B)),meet(A,B)) != join(meet(A,B),complement(join(complement(A),B)))
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(complement(join(complement(A),B)),meet(A,B))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(meet(A,B),complement(join(complement(A),B))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),meet(A,B)),join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_157,refute_0_165]) ).
cnf(refute_0_167,plain,
( A != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
| join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) != join(meet(A,B),complement(join(complement(A),B)))
| A = join(meet(A,B),complement(join(complement(A),B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,join(meet(A,B),complement(join(complement(A),B)))) ),[0],$fot(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))))]]) ).
cnf(refute_0_168,plain,
( A != join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))
| A = join(meet(A,B),complement(join(complement(A),B))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
A = join(meet(A,B),complement(join(complement(A),B))),
inference(resolve,[$cnf( $equal(A,join(complement(join(complement(A),B)),complement(join(complement(A),complement(B))))) )],[refute_0_156,refute_0_168]) ).
cnf(refute_0_170,plain,
X_41 = join(meet(X_41,complement(B)),complement(join(complement(X_41),complement(B)))),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_41)),bind(B,$fot(complement(B)))]]) ).
cnf(refute_0_171,plain,
meet(X_41,B) = complement(join(complement(X_41),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_41))]]) ).
cnf(refute_0_172,plain,
( meet(X_41,B) != complement(join(complement(X_41),complement(B)))
| complement(join(complement(X_41),complement(B))) = meet(X_41,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_41,B))),bind(Y,$fot(complement(join(complement(X_41),complement(B)))))]]) ).
cnf(refute_0_173,plain,
complement(join(complement(X_41),complement(B))) = meet(X_41,B),
inference(resolve,[$cnf( $equal(meet(X_41,B),complement(join(complement(X_41),complement(B)))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
( X_41 != join(meet(X_41,complement(B)),complement(join(complement(X_41),complement(B))))
| complement(join(complement(X_41),complement(B))) != meet(X_41,B)
| X_41 = join(meet(X_41,complement(B)),meet(X_41,B)) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,complement(B)),complement(join(complement(X_41),complement(B))))) ),[1,1],$fot(meet(X_41,B))]]) ).
cnf(refute_0_175,plain,
( X_41 != join(meet(X_41,complement(B)),complement(join(complement(X_41),complement(B))))
| X_41 = join(meet(X_41,complement(B)),meet(X_41,B)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_41),complement(B))),meet(X_41,B)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
X_41 = join(meet(X_41,complement(B)),meet(X_41,B)),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,complement(B)),complement(join(complement(X_41),complement(B))))) )],[refute_0_170,refute_0_175]) ).
cnf(refute_0_177,plain,
join(meet(X_41,complement(B)),meet(X_41,B)) = join(meet(X_41,B),meet(X_41,complement(B))),
inference(subst,[],[refute_0_53:[bind(A,$fot(meet(X_41,B))),bind(B,$fot(meet(X_41,complement(B))))]]) ).
cnf(refute_0_178,plain,
( X_41 != join(meet(X_41,complement(B)),meet(X_41,B))
| join(meet(X_41,complement(B)),meet(X_41,B)) != join(meet(X_41,B),meet(X_41,complement(B)))
| X_41 = join(meet(X_41,B),meet(X_41,complement(B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,join(meet(X_41,B),meet(X_41,complement(B)))) ),[0],$fot(join(meet(X_41,complement(B)),meet(X_41,B)))]]) ).
cnf(refute_0_179,plain,
( X_41 != join(meet(X_41,complement(B)),meet(X_41,B))
| X_41 = join(meet(X_41,B),meet(X_41,complement(B))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,complement(B)),meet(X_41,B)),join(meet(X_41,B),meet(X_41,complement(B)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
X_41 = join(meet(X_41,B),meet(X_41,complement(B))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,complement(B)),meet(X_41,B))) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
X_52 = join(meet(X_52,X_51),meet(X_52,complement(X_51))),
inference(subst,[],[refute_0_180:[bind(B,$fot(X_51)),bind(X_41,$fot(X_52))]]) ).
cnf(refute_0_182,plain,
meet(X_15,X_16) = complement(join(complement(X_15),complement(X_16))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(X_15)),bind(B,$fot(X_16))]]) ).
cnf(refute_0_183,plain,
join(complement(X_16),complement(X_15)) = join(complement(X_15),complement(X_16)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(complement(X_16))),bind(B,$fot(complement(X_15)))]]) ).
cnf(refute_0_184,plain,
( join(complement(X_16),complement(X_15)) != join(complement(X_15),complement(X_16))
| join(complement(X_15),complement(X_16)) = join(complement(X_16),complement(X_15)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(X_16),complement(X_15)))),bind(Y,$fot(join(complement(X_15),complement(X_16))))]]) ).
cnf(refute_0_185,plain,
join(complement(X_15),complement(X_16)) = join(complement(X_16),complement(X_15)),
inference(resolve,[$cnf( $equal(join(complement(X_16),complement(X_15)),join(complement(X_15),complement(X_16))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( join(complement(X_15),complement(X_16)) != join(complement(X_16),complement(X_15))
| meet(X_15,X_16) != complement(join(complement(X_15),complement(X_16)))
| meet(X_15,X_16) = complement(join(complement(X_16),complement(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_15,X_16),complement(join(complement(X_15),complement(X_16)))) ),[1,0],$fot(join(complement(X_16),complement(X_15)))]]) ).
cnf(refute_0_187,plain,
( meet(X_15,X_16) != complement(join(complement(X_15),complement(X_16)))
| meet(X_15,X_16) = complement(join(complement(X_16),complement(X_15))) ),
inference(resolve,[$cnf( $equal(join(complement(X_15),complement(X_16)),join(complement(X_16),complement(X_15))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
meet(X_15,X_16) = complement(join(complement(X_16),complement(X_15))),
inference(resolve,[$cnf( $equal(meet(X_15,X_16),complement(join(complement(X_15),complement(X_16)))) )],[refute_0_182,refute_0_187]) ).
cnf(refute_0_189,plain,
complement(join(complement(X_16),complement(X_15))) = meet(X_16,X_15),
inference(subst,[],[refute_0_159:[bind(A,$fot(X_16)),bind(B,$fot(X_15))]]) ).
cnf(refute_0_190,plain,
( complement(join(complement(X_16),complement(X_15))) != meet(X_16,X_15)
| meet(X_15,X_16) != complement(join(complement(X_16),complement(X_15)))
| meet(X_15,X_16) = meet(X_16,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_15,X_16),complement(join(complement(X_16),complement(X_15)))) ),[1],$fot(meet(X_16,X_15))]]) ).
cnf(refute_0_191,plain,
( meet(X_15,X_16) != complement(join(complement(X_16),complement(X_15)))
| meet(X_15,X_16) = meet(X_16,X_15) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_16),complement(X_15))),meet(X_16,X_15)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
meet(X_15,X_16) = meet(X_16,X_15),
inference(resolve,[$cnf( $equal(meet(X_15,X_16),complement(join(complement(X_16),complement(X_15)))) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
meet(complement(X_51),X_52) = meet(X_52,complement(X_51)),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(complement(X_51))),bind(X_16,$fot(X_52))]]) ).
cnf(refute_0_194,plain,
( meet(complement(X_51),X_52) != meet(X_52,complement(X_51))
| meet(X_52,complement(X_51)) = meet(complement(X_51),X_52) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(X_51),X_52))),bind(Y,$fot(meet(X_52,complement(X_51))))]]) ).
cnf(refute_0_195,plain,
meet(X_52,complement(X_51)) = meet(complement(X_51),X_52),
inference(resolve,[$cnf( $equal(meet(complement(X_51),X_52),meet(X_52,complement(X_51))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
( X_52 != join(meet(X_52,X_51),meet(X_52,complement(X_51)))
| meet(X_52,complement(X_51)) != meet(complement(X_51),X_52)
| X_52 = join(meet(X_52,X_51),meet(complement(X_51),X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(X_52,join(meet(X_52,X_51),meet(X_52,complement(X_51)))) ),[1,1],$fot(meet(complement(X_51),X_52))]]) ).
cnf(refute_0_197,plain,
( X_52 != join(meet(X_52,X_51),meet(X_52,complement(X_51)))
| X_52 = join(meet(X_52,X_51),meet(complement(X_51),X_52)) ),
inference(resolve,[$cnf( $equal(meet(X_52,complement(X_51)),meet(complement(X_51),X_52)) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
X_52 = join(meet(X_52,X_51),meet(complement(X_51),X_52)),
inference(resolve,[$cnf( $equal(X_52,join(meet(X_52,X_51),meet(X_52,complement(X_51)))) )],[refute_0_181,refute_0_197]) ).
cnf(refute_0_199,plain,
X_95 = join(meet(X_95,X_94),meet(complement(X_94),X_95)),
inference(subst,[],[refute_0_198:[bind(X_51,$fot(X_94)),bind(X_52,$fot(X_95))]]) ).
cnf(refute_0_200,plain,
meet(X_94,X_95) = meet(X_95,X_94),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(X_94)),bind(X_16,$fot(X_95))]]) ).
cnf(refute_0_201,plain,
( meet(X_94,X_95) != meet(X_95,X_94)
| meet(X_95,X_94) = meet(X_94,X_95) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_94,X_95))),bind(Y,$fot(meet(X_95,X_94)))]]) ).
cnf(refute_0_202,plain,
meet(X_95,X_94) = meet(X_94,X_95),
inference(resolve,[$cnf( $equal(meet(X_94,X_95),meet(X_95,X_94)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
( X_95 != join(meet(X_95,X_94),meet(complement(X_94),X_95))
| meet(X_95,X_94) != meet(X_94,X_95)
| X_95 = join(meet(X_94,X_95),meet(complement(X_94),X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(X_95,join(meet(X_95,X_94),meet(complement(X_94),X_95))) ),[1,0],$fot(meet(X_94,X_95))]]) ).
cnf(refute_0_204,plain,
( X_95 != join(meet(X_95,X_94),meet(complement(X_94),X_95))
| X_95 = join(meet(X_94,X_95),meet(complement(X_94),X_95)) ),
inference(resolve,[$cnf( $equal(meet(X_95,X_94),meet(X_94,X_95)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
X_95 = join(meet(X_94,X_95),meet(complement(X_94),X_95)),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,X_94),meet(complement(X_94),X_95))) )],[refute_0_199,refute_0_204]) ).
cnf(refute_0_206,plain,
join(X_139,X_139) = join(meet(complement(X_139),join(X_139,X_139)),meet(complement(complement(X_139)),join(X_139,X_139))),
inference(subst,[],[refute_0_205:[bind(X_94,$fot(complement(X_139))),bind(X_95,$fot(join(X_139,X_139)))]]) ).
cnf(refute_0_207,plain,
zero = meet(join(X_100,X_100),complement(join(X_100,X_100))),
inference(subst,[],[def_zero_13:[bind(A,$fot(join(X_100,X_100)))]]) ).
cnf(refute_0_208,plain,
X_41 = join(meet(X_41,X_42),complement(join(complement(X_41),X_42))),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_41)),bind(B,$fot(X_42))]]) ).
cnf(refute_0_209,plain,
meet(X_42,X_41) = meet(X_41,X_42),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(X_42)),bind(X_16,$fot(X_41))]]) ).
cnf(refute_0_210,plain,
( meet(X_42,X_41) != meet(X_41,X_42)
| meet(X_41,X_42) = meet(X_42,X_41) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_42,X_41))),bind(Y,$fot(meet(X_41,X_42)))]]) ).
cnf(refute_0_211,plain,
meet(X_41,X_42) = meet(X_42,X_41),
inference(resolve,[$cnf( $equal(meet(X_42,X_41),meet(X_41,X_42)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
( X_41 != join(meet(X_41,X_42),complement(join(complement(X_41),X_42)))
| meet(X_41,X_42) != meet(X_42,X_41)
| X_41 = join(meet(X_42,X_41),complement(join(complement(X_41),X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,X_42),complement(join(complement(X_41),X_42)))) ),[1,0],$fot(meet(X_42,X_41))]]) ).
cnf(refute_0_213,plain,
( X_41 != join(meet(X_41,X_42),complement(join(complement(X_41),X_42)))
| X_41 = join(meet(X_42,X_41),complement(join(complement(X_41),X_42))) ),
inference(resolve,[$cnf( $equal(meet(X_41,X_42),meet(X_42,X_41)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
X_41 = join(meet(X_42,X_41),complement(join(complement(X_41),X_42))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,X_42),complement(join(complement(X_41),X_42)))) )],[refute_0_208,refute_0_213]) ).
cnf(refute_0_215,plain,
complement(X_74) = join(meet(X_74,complement(X_74)),complement(join(complement(complement(X_74)),X_74))),
inference(subst,[],[refute_0_214:[bind(X_41,$fot(complement(X_74))),bind(X_42,$fot(X_74))]]) ).
cnf(refute_0_216,plain,
zero = meet(X_74,complement(X_74)),
inference(subst,[],[def_zero_13:[bind(A,$fot(X_74))]]) ).
cnf(refute_0_217,plain,
( zero != meet(X_74,complement(X_74))
| meet(X_74,complement(X_74)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_74,complement(X_74))))]]) ).
cnf(refute_0_218,plain,
meet(X_74,complement(X_74)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_74,complement(X_74))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
( complement(X_74) != join(meet(X_74,complement(X_74)),complement(join(complement(complement(X_74)),X_74)))
| meet(X_74,complement(X_74)) != zero
| complement(X_74) = join(zero,complement(join(complement(complement(X_74)),X_74))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_74),join(meet(X_74,complement(X_74)),complement(join(complement(complement(X_74)),X_74)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_220,plain,
( complement(X_74) != join(meet(X_74,complement(X_74)),complement(join(complement(complement(X_74)),X_74)))
| complement(X_74) = join(zero,complement(join(complement(complement(X_74)),X_74))) ),
inference(resolve,[$cnf( $equal(meet(X_74,complement(X_74)),zero) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
complement(X_74) = join(zero,complement(join(complement(complement(X_74)),X_74))),
inference(resolve,[$cnf( $equal(complement(X_74),join(meet(X_74,complement(X_74)),complement(join(complement(complement(X_74)),X_74)))) )],[refute_0_215,refute_0_220]) ).
cnf(refute_0_222,plain,
join(complement(complement(X_74)),X_74) = join(X_74,complement(complement(X_74))),
inference(subst,[],[refute_0_53:[bind(A,$fot(X_74)),bind(B,$fot(complement(complement(X_74))))]]) ).
cnf(refute_0_223,plain,
complement(join(complement(complement(X_74)),X_74)) = complement(join(complement(complement(X_74)),X_74)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_74)),X_74)))]]) ).
cnf(refute_0_224,plain,
( complement(join(complement(complement(X_74)),X_74)) != complement(join(complement(complement(X_74)),X_74))
| join(complement(complement(X_74)),X_74) != join(X_74,complement(complement(X_74)))
| complement(join(complement(complement(X_74)),X_74)) = complement(join(X_74,complement(complement(X_74)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_74)),X_74)),complement(join(complement(complement(X_74)),X_74))) ),[1,0],$fot(join(X_74,complement(complement(X_74))))]]) ).
cnf(refute_0_225,plain,
( join(complement(complement(X_74)),X_74) != join(X_74,complement(complement(X_74)))
| complement(join(complement(complement(X_74)),X_74)) = complement(join(X_74,complement(complement(X_74)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_74)),X_74)),complement(join(complement(complement(X_74)),X_74))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
complement(join(complement(complement(X_74)),X_74)) = complement(join(X_74,complement(complement(X_74)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_74)),X_74),join(X_74,complement(complement(X_74)))) )],[refute_0_222,refute_0_225]) ).
cnf(refute_0_227,plain,
join(zero,complement(join(complement(complement(X_74)),X_74))) = join(zero,complement(join(complement(complement(X_74)),X_74))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(complement(X_74)),X_74))))]]) ).
cnf(refute_0_228,plain,
( complement(join(complement(complement(X_74)),X_74)) != complement(join(X_74,complement(complement(X_74))))
| join(zero,complement(join(complement(complement(X_74)),X_74))) != join(zero,complement(join(complement(complement(X_74)),X_74)))
| join(zero,complement(join(complement(complement(X_74)),X_74))) = join(zero,complement(join(X_74,complement(complement(X_74))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(complement(X_74)),X_74))),join(zero,complement(join(complement(complement(X_74)),X_74)))) ),[1,1],$fot(complement(join(X_74,complement(complement(X_74)))))]]) ).
cnf(refute_0_229,plain,
( complement(join(complement(complement(X_74)),X_74)) != complement(join(X_74,complement(complement(X_74))))
| join(zero,complement(join(complement(complement(X_74)),X_74))) = join(zero,complement(join(X_74,complement(complement(X_74))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_74)),X_74))),join(zero,complement(join(complement(complement(X_74)),X_74)))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
join(zero,complement(join(complement(complement(X_74)),X_74))) = join(zero,complement(join(X_74,complement(complement(X_74))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_74)),X_74)),complement(join(X_74,complement(complement(X_74))))) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
( complement(X_74) != join(zero,complement(join(complement(complement(X_74)),X_74)))
| join(zero,complement(join(complement(complement(X_74)),X_74))) != join(zero,complement(join(X_74,complement(complement(X_74)))))
| complement(X_74) = join(zero,complement(join(X_74,complement(complement(X_74))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_74),join(zero,complement(join(X_74,complement(complement(X_74)))))) ),[0],$fot(join(zero,complement(join(complement(complement(X_74)),X_74))))]]) ).
cnf(refute_0_232,plain,
( complement(X_74) != join(zero,complement(join(complement(complement(X_74)),X_74)))
| complement(X_74) = join(zero,complement(join(X_74,complement(complement(X_74))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_74)),X_74))),join(zero,complement(join(X_74,complement(complement(X_74)))))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
complement(X_74) = join(zero,complement(join(X_74,complement(complement(X_74))))),
inference(resolve,[$cnf( $equal(complement(X_74),join(zero,complement(join(complement(complement(X_74)),X_74)))) )],[refute_0_221,refute_0_232]) ).
cnf(refute_0_234,plain,
X_41 = join(meet(X_41,complement(complement(X_41))),complement(join(complement(X_41),complement(complement(X_41))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_41)),bind(B,$fot(complement(complement(X_41))))]]) ).
cnf(refute_0_235,plain,
top = join(complement(X_41),complement(complement(X_41))),
inference(subst,[],[def_top_12:[bind(A,$fot(complement(X_41)))]]) ).
cnf(refute_0_236,plain,
( top != join(complement(X_41),complement(complement(X_41)))
| join(complement(X_41),complement(complement(X_41))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_41),complement(complement(X_41)))))]]) ).
cnf(refute_0_237,plain,
join(complement(X_41),complement(complement(X_41))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_41),complement(complement(X_41)))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
( X_41 != join(meet(X_41,complement(complement(X_41))),complement(join(complement(X_41),complement(complement(X_41)))))
| join(complement(X_41),complement(complement(X_41))) != top
| X_41 = join(meet(X_41,complement(complement(X_41))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,complement(complement(X_41))),complement(join(complement(X_41),complement(complement(X_41)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_239,plain,
( X_41 != join(meet(X_41,complement(complement(X_41))),complement(join(complement(X_41),complement(complement(X_41)))))
| X_41 = join(meet(X_41,complement(complement(X_41))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),complement(complement(X_41))),top) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
X_41 = join(meet(X_41,complement(complement(X_41))),complement(top)),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,complement(complement(X_41))),complement(join(complement(X_41),complement(complement(X_41)))))) )],[refute_0_234,refute_0_239]) ).
cnf(refute_0_241,plain,
zero = meet(join(complement(X_15),complement(X_16)),complement(join(complement(X_15),complement(X_16)))),
inference(subst,[],[def_zero_13:[bind(A,$fot(join(complement(X_15),complement(X_16))))]]) ).
cnf(refute_0_242,plain,
( meet(X_15,X_16) != complement(join(complement(X_15),complement(X_16)))
| complement(join(complement(X_15),complement(X_16))) = meet(X_15,X_16) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_15,X_16))),bind(Y,$fot(complement(join(complement(X_15),complement(X_16)))))]]) ).
cnf(refute_0_243,plain,
complement(join(complement(X_15),complement(X_16))) = meet(X_15,X_16),
inference(resolve,[$cnf( $equal(meet(X_15,X_16),complement(join(complement(X_15),complement(X_16)))) )],[refute_0_182,refute_0_242]) ).
cnf(refute_0_244,plain,
( complement(join(complement(X_15),complement(X_16))) != meet(X_15,X_16)
| zero != meet(join(complement(X_15),complement(X_16)),complement(join(complement(X_15),complement(X_16))))
| zero = meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_15),complement(X_16)),complement(join(complement(X_15),complement(X_16))))) ),[1,1],$fot(meet(X_15,X_16))]]) ).
cnf(refute_0_245,plain,
( zero != meet(join(complement(X_15),complement(X_16)),complement(join(complement(X_15),complement(X_16))))
| zero = meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_15),complement(X_16))),meet(X_15,X_16)) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
zero = meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_15),complement(X_16)),complement(join(complement(X_15),complement(X_16))))) )],[refute_0_241,refute_0_245]) ).
cnf(refute_0_247,plain,
( top != join(A,complement(A))
| join(A,complement(A)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(A,complement(A))))]]) ).
cnf(refute_0_248,plain,
join(A,complement(A)) = top,
inference(resolve,[$cnf( $equal(top,join(A,complement(A))) )],[def_top_12,refute_0_247]) ).
cnf(refute_0_249,plain,
join(meet(X_15,X_16),complement(meet(X_15,X_16))) = top,
inference(subst,[],[refute_0_248:[bind(A,$fot(meet(X_15,X_16)))]]) ).
cnf(refute_0_250,plain,
complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))) = complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))))]]) ).
cnf(refute_0_251,plain,
( complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))) != complement(join(meet(X_15,X_16),complement(meet(X_15,X_16))))
| join(meet(X_15,X_16),complement(meet(X_15,X_16))) != top
| complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))),complement(join(meet(X_15,X_16),complement(meet(X_15,X_16))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_252,plain,
( join(meet(X_15,X_16),complement(meet(X_15,X_16))) != top
| complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))),complement(join(meet(X_15,X_16),complement(meet(X_15,X_16))))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_15,X_16),complement(meet(X_15,X_16))),top) )],[refute_0_249,refute_0_252]) ).
cnf(refute_0_254,plain,
meet(join(complement(X_15),complement(X_16)),B) = complement(join(complement(join(complement(X_15),complement(X_16))),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(join(complement(X_15),complement(X_16))))]]) ).
cnf(refute_0_255,plain,
( complement(join(complement(X_15),complement(X_16))) != meet(X_15,X_16)
| meet(join(complement(X_15),complement(X_16)),B) != complement(join(complement(join(complement(X_15),complement(X_16))),complement(B)))
| meet(join(complement(X_15),complement(X_16)),B) = complement(join(meet(X_15,X_16),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_15),complement(X_16)),B),complement(join(complement(join(complement(X_15),complement(X_16))),complement(B)))) ),[1,0,0],$fot(meet(X_15,X_16))]]) ).
cnf(refute_0_256,plain,
( meet(join(complement(X_15),complement(X_16)),B) != complement(join(complement(join(complement(X_15),complement(X_16))),complement(B)))
| meet(join(complement(X_15),complement(X_16)),B) = complement(join(meet(X_15,X_16),complement(B))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_15),complement(X_16))),meet(X_15,X_16)) )],[refute_0_243,refute_0_255]) ).
cnf(refute_0_257,plain,
meet(join(complement(X_15),complement(X_16)),B) = complement(join(meet(X_15,X_16),complement(B))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_15),complement(X_16)),B),complement(join(complement(join(complement(X_15),complement(X_16))),complement(B)))) )],[refute_0_254,refute_0_256]) ).
cnf(refute_0_258,plain,
meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16)) = complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))),
inference(subst,[],[refute_0_257:[bind(B,$fot(meet(X_15,X_16)))]]) ).
cnf(refute_0_259,plain,
( complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))) != complement(top)
| meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16)) != complement(join(meet(X_15,X_16),complement(meet(X_15,X_16))))
| meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16)) = complement(top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16)))),bind(Y,$fot(complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_260,plain,
( complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))) != complement(top)
| meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16)),complement(join(meet(X_15,X_16),complement(meet(X_15,X_16))))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_15,X_16),complement(meet(X_15,X_16)))),complement(top)) )],[refute_0_253,refute_0_260]) ).
cnf(refute_0_262,plain,
( meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16)) != complement(top)
| zero != meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_263,plain,
( zero != meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16)),complement(top)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_15),complement(X_16)),meet(X_15,X_16))) )],[refute_0_246,refute_0_263]) ).
cnf(refute_0_265,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_266,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
join(complement(top),meet(X_41,complement(complement(X_41)))) = join(complement(top),meet(X_41,complement(complement(X_41)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_41,complement(complement(X_41)))))]]) ).
cnf(refute_0_268,plain,
( complement(top) != zero
| join(complement(top),meet(X_41,complement(complement(X_41)))) != join(complement(top),meet(X_41,complement(complement(X_41))))
| join(complement(top),meet(X_41,complement(complement(X_41)))) = join(zero,meet(X_41,complement(complement(X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_41,complement(complement(X_41)))),join(complement(top),meet(X_41,complement(complement(X_41))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_269,plain,
( complement(top) != zero
| join(complement(top),meet(X_41,complement(complement(X_41)))) = join(zero,meet(X_41,complement(complement(X_41)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_41,complement(complement(X_41)))),join(complement(top),meet(X_41,complement(complement(X_41))))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
join(complement(top),meet(X_41,complement(complement(X_41)))) = join(zero,meet(X_41,complement(complement(X_41)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
join(meet(X_41,complement(complement(X_41))),complement(top)) = join(complement(top),meet(X_41,complement(complement(X_41)))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_41,complement(complement(X_41)))))]]) ).
cnf(refute_0_272,plain,
( join(complement(top),meet(X_41,complement(complement(X_41)))) != join(zero,meet(X_41,complement(complement(X_41))))
| join(meet(X_41,complement(complement(X_41))),complement(top)) != join(complement(top),meet(X_41,complement(complement(X_41))))
| join(meet(X_41,complement(complement(X_41))),complement(top)) = join(zero,meet(X_41,complement(complement(X_41)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_41,complement(complement(X_41))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_41,complement(complement(X_41)))))),bind(Z,$fot(join(zero,meet(X_41,complement(complement(X_41))))))]]) ).
cnf(refute_0_273,plain,
( join(complement(top),meet(X_41,complement(complement(X_41)))) != join(zero,meet(X_41,complement(complement(X_41))))
| join(meet(X_41,complement(complement(X_41))),complement(top)) = join(zero,meet(X_41,complement(complement(X_41)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,complement(complement(X_41))),complement(top)),join(complement(top),meet(X_41,complement(complement(X_41))))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
join(meet(X_41,complement(complement(X_41))),complement(top)) = join(zero,meet(X_41,complement(complement(X_41)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_41,complement(complement(X_41)))),join(zero,meet(X_41,complement(complement(X_41))))) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
( X_41 != join(meet(X_41,complement(complement(X_41))),complement(top))
| join(meet(X_41,complement(complement(X_41))),complement(top)) != join(zero,meet(X_41,complement(complement(X_41))))
| X_41 = join(zero,meet(X_41,complement(complement(X_41)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,join(zero,meet(X_41,complement(complement(X_41))))) ),[0],$fot(join(meet(X_41,complement(complement(X_41))),complement(top)))]]) ).
cnf(refute_0_276,plain,
( X_41 != join(meet(X_41,complement(complement(X_41))),complement(top))
| X_41 = join(zero,meet(X_41,complement(complement(X_41)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,complement(complement(X_41))),complement(top)),join(zero,meet(X_41,complement(complement(X_41))))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
X_41 = join(zero,meet(X_41,complement(complement(X_41)))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,complement(complement(X_41))),complement(top))) )],[refute_0_240,refute_0_276]) ).
cnf(refute_0_278,plain,
join(zero,complement(B)) = join(zero,meet(join(zero,complement(B)),complement(complement(join(zero,complement(B)))))),
inference(subst,[],[refute_0_277:[bind(X_41,$fot(join(zero,complement(B))))]]) ).
cnf(refute_0_279,plain,
meet(top,B) = complement(join(complement(top),complement(B))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(A,$fot(top))]]) ).
cnf(refute_0_280,plain,
( complement(top) != zero
| meet(top,B) != complement(join(complement(top),complement(B)))
| meet(top,B) = complement(join(zero,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_281,plain,
( meet(top,B) != complement(join(complement(top),complement(B)))
| meet(top,B) = complement(join(zero,complement(B))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_280]) ).
cnf(refute_0_282,plain,
meet(top,B) = complement(join(zero,complement(B))),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(complement(top),complement(B)))) )],[refute_0_279,refute_0_281]) ).
cnf(refute_0_283,plain,
( meet(top,B) != complement(join(zero,complement(B)))
| complement(join(zero,complement(B))) = meet(top,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,B))),bind(Y,$fot(complement(join(zero,complement(B)))))]]) ).
cnf(refute_0_284,plain,
complement(join(zero,complement(B))) = meet(top,B),
inference(resolve,[$cnf( $equal(meet(top,B),complement(join(zero,complement(B)))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
( complement(join(zero,complement(B))) != meet(top,B)
| join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),complement(complement(join(zero,complement(B))))))
| join(zero,complement(B)) = join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(zero,meet(join(zero,complement(B)),complement(complement(join(zero,complement(B))))))) ),[1,1,1,0],$fot(meet(top,B))]]) ).
cnf(refute_0_286,plain,
( join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),complement(complement(join(zero,complement(B))))))
| join(zero,complement(B)) = join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),meet(top,B)) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
join(zero,complement(B)) = join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(zero,meet(join(zero,complement(B)),complement(complement(join(zero,complement(B))))))) )],[refute_0_278,refute_0_286]) ).
cnf(refute_0_288,plain,
( meet(X_15,X_16) != meet(X_16,X_15)
| meet(X_16,X_15) = meet(X_15,X_16) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_15,X_16))),bind(Y,$fot(meet(X_16,X_15)))]]) ).
cnf(refute_0_289,plain,
meet(X_16,X_15) = meet(X_15,X_16),
inference(resolve,[$cnf( $equal(meet(X_15,X_16),meet(X_16,X_15)) )],[refute_0_192,refute_0_288]) ).
cnf(refute_0_290,plain,
meet(join(zero,complement(B)),complement(meet(top,B))) = meet(complement(meet(top,B)),join(zero,complement(B))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(complement(meet(top,B)))),bind(X_16,$fot(join(zero,complement(B))))]]) ).
cnf(refute_0_291,plain,
join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) = join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))))]]) ).
cnf(refute_0_292,plain,
( join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) != join(zero,meet(join(zero,complement(B)),complement(meet(top,B))))
| meet(join(zero,complement(B)),complement(meet(top,B))) != meet(complement(meet(top,B)),join(zero,complement(B)))
| join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))),join(zero,meet(join(zero,complement(B)),complement(meet(top,B))))) ),[1,1],$fot(meet(complement(meet(top,B)),join(zero,complement(B))))]]) ).
cnf(refute_0_293,plain,
( meet(join(zero,complement(B)),complement(meet(top,B))) != meet(complement(meet(top,B)),join(zero,complement(B)))
| join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))),join(zero,meet(join(zero,complement(B)),complement(meet(top,B))))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(B)),complement(meet(top,B))),meet(complement(meet(top,B)),join(zero,complement(B)))) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
( join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),complement(meet(top,B))))
| join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))) != join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))
| join(zero,complement(B)) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(B)),join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))) ),[0],$fot(join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))))]]) ).
cnf(refute_0_296,plain,
( join(zero,complement(B)) != join(zero,meet(join(zero,complement(B)),complement(meet(top,B))))
| join(zero,complement(B)) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(B)),complement(meet(top,B)))),join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
join(zero,complement(B)) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(zero,meet(join(zero,complement(B)),complement(meet(top,B))))) )],[refute_0_287,refute_0_296]) ).
cnf(refute_0_298,plain,
X_41 = join(meet(X_41,complement(X_41)),complement(join(complement(X_41),complement(X_41)))),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_41)),bind(B,$fot(complement(X_41)))]]) ).
cnf(refute_0_299,plain,
zero = meet(X_41,complement(X_41)),
inference(subst,[],[def_zero_13:[bind(A,$fot(X_41))]]) ).
cnf(refute_0_300,plain,
( zero != meet(X_41,complement(X_41))
| meet(X_41,complement(X_41)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_41,complement(X_41))))]]) ).
cnf(refute_0_301,plain,
meet(X_41,complement(X_41)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_41,complement(X_41))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
( X_41 != join(meet(X_41,complement(X_41)),complement(join(complement(X_41),complement(X_41))))
| meet(X_41,complement(X_41)) != zero
| X_41 = join(zero,complement(join(complement(X_41),complement(X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,complement(X_41)),complement(join(complement(X_41),complement(X_41))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_303,plain,
( X_41 != join(meet(X_41,complement(X_41)),complement(join(complement(X_41),complement(X_41))))
| X_41 = join(zero,complement(join(complement(X_41),complement(X_41)))) ),
inference(resolve,[$cnf( $equal(meet(X_41,complement(X_41)),zero) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
X_41 = join(zero,complement(join(complement(X_41),complement(X_41)))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,complement(X_41)),complement(join(complement(X_41),complement(X_41))))) )],[refute_0_298,refute_0_303]) ).
cnf(refute_0_305,plain,
complement(join(complement(X_41),complement(X_41))) = meet(X_41,X_41),
inference(subst,[],[refute_0_159:[bind(A,$fot(X_41)),bind(B,$fot(X_41))]]) ).
cnf(refute_0_306,plain,
join(zero,complement(join(complement(X_41),complement(X_41)))) = join(zero,complement(join(complement(X_41),complement(X_41)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_41),complement(X_41)))))]]) ).
cnf(refute_0_307,plain,
( complement(join(complement(X_41),complement(X_41))) != meet(X_41,X_41)
| join(zero,complement(join(complement(X_41),complement(X_41)))) != join(zero,complement(join(complement(X_41),complement(X_41))))
| join(zero,complement(join(complement(X_41),complement(X_41)))) = join(zero,meet(X_41,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X_41),complement(X_41)))),join(zero,complement(join(complement(X_41),complement(X_41))))) ),[1,1],$fot(meet(X_41,X_41))]]) ).
cnf(refute_0_308,plain,
( complement(join(complement(X_41),complement(X_41))) != meet(X_41,X_41)
| join(zero,complement(join(complement(X_41),complement(X_41)))) = join(zero,meet(X_41,X_41)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_41),complement(X_41)))),join(zero,complement(join(complement(X_41),complement(X_41))))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
join(zero,complement(join(complement(X_41),complement(X_41)))) = join(zero,meet(X_41,X_41)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_41),complement(X_41))),meet(X_41,X_41)) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
( X_41 != join(zero,complement(join(complement(X_41),complement(X_41))))
| join(zero,complement(join(complement(X_41),complement(X_41)))) != join(zero,meet(X_41,X_41))
| X_41 = join(zero,meet(X_41,X_41)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,join(zero,meet(X_41,X_41))) ),[0],$fot(join(zero,complement(join(complement(X_41),complement(X_41)))))]]) ).
cnf(refute_0_311,plain,
( X_41 != join(zero,complement(join(complement(X_41),complement(X_41))))
| X_41 = join(zero,meet(X_41,X_41)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_41),complement(X_41)))),join(zero,meet(X_41,X_41))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
X_41 = join(zero,meet(X_41,X_41)),
inference(resolve,[$cnf( $equal(X_41,join(zero,complement(join(complement(X_41),complement(X_41))))) )],[refute_0_304,refute_0_311]) ).
cnf(refute_0_313,plain,
( X_41 != join(zero,meet(X_41,X_41))
| join(zero,meet(X_41,X_41)) = X_41 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_41)),bind(Y,$fot(join(zero,meet(X_41,X_41))))]]) ).
cnf(refute_0_314,plain,
join(zero,meet(X_41,X_41)) = X_41,
inference(resolve,[$cnf( $equal(X_41,join(zero,meet(X_41,X_41))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))) = complement(meet(top,B)),
inference(subst,[],[refute_0_314:[bind(X_41,$fot(complement(meet(top,B))))]]) ).
cnf(refute_0_316,plain,
meet(A,join(zero,complement(X_25))) = complement(join(complement(A),complement(join(zero,complement(X_25))))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(join(zero,complement(X_25))))]]) ).
cnf(refute_0_317,plain,
meet(top,X_25) = complement(join(zero,complement(X_25))),
inference(subst,[],[refute_0_282:[bind(B,$fot(X_25))]]) ).
cnf(refute_0_318,plain,
( meet(top,X_25) != complement(join(zero,complement(X_25)))
| complement(join(zero,complement(X_25))) = meet(top,X_25) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,X_25))),bind(Y,$fot(complement(join(zero,complement(X_25)))))]]) ).
cnf(refute_0_319,plain,
complement(join(zero,complement(X_25))) = meet(top,X_25),
inference(resolve,[$cnf( $equal(meet(top,X_25),complement(join(zero,complement(X_25)))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
( complement(join(zero,complement(X_25))) != meet(top,X_25)
| meet(A,join(zero,complement(X_25))) != complement(join(complement(A),complement(join(zero,complement(X_25)))))
| meet(A,join(zero,complement(X_25))) = complement(join(complement(A),meet(top,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(zero,complement(X_25))),complement(join(complement(A),complement(join(zero,complement(X_25)))))) ),[1,0,1],$fot(meet(top,X_25))]]) ).
cnf(refute_0_321,plain,
( meet(A,join(zero,complement(X_25))) != complement(join(complement(A),complement(join(zero,complement(X_25)))))
| meet(A,join(zero,complement(X_25))) = complement(join(complement(A),meet(top,X_25))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_25))),meet(top,X_25)) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
meet(A,join(zero,complement(X_25))) = complement(join(complement(A),meet(top,X_25))),
inference(resolve,[$cnf( $equal(meet(A,join(zero,complement(X_25))),complement(join(complement(A),complement(join(zero,complement(X_25)))))) )],[refute_0_316,refute_0_321]) ).
cnf(refute_0_323,plain,
meet(A,join(complement(X_15),complement(X_16))) = complement(join(complement(A),complement(join(complement(X_15),complement(X_16))))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(join(complement(X_15),complement(X_16))))]]) ).
cnf(refute_0_324,plain,
( complement(join(complement(X_15),complement(X_16))) != meet(X_15,X_16)
| meet(A,join(complement(X_15),complement(X_16))) != complement(join(complement(A),complement(join(complement(X_15),complement(X_16)))))
| meet(A,join(complement(X_15),complement(X_16))) = complement(join(complement(A),meet(X_15,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_15),complement(X_16))),complement(join(complement(A),complement(join(complement(X_15),complement(X_16)))))) ),[1,0,1],$fot(meet(X_15,X_16))]]) ).
cnf(refute_0_325,plain,
( meet(A,join(complement(X_15),complement(X_16))) != complement(join(complement(A),complement(join(complement(X_15),complement(X_16)))))
| meet(A,join(complement(X_15),complement(X_16))) = complement(join(complement(A),meet(X_15,X_16))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_15),complement(X_16))),meet(X_15,X_16)) )],[refute_0_243,refute_0_324]) ).
cnf(refute_0_326,plain,
meet(A,join(complement(X_15),complement(X_16))) = complement(join(complement(A),meet(X_15,X_16))),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_15),complement(X_16))),complement(join(complement(A),complement(join(complement(X_15),complement(X_16)))))) )],[refute_0_323,refute_0_325]) ).
cnf(refute_0_327,plain,
join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B)))))),
inference(subst,[],[refute_0_277:[bind(X_41,$fot(join(complement(A),complement(B))))]]) ).
cnf(refute_0_328,plain,
( complement(join(complement(A),complement(B))) != meet(A,B)
| join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))
| join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(A),complement(B)),join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))) ),[1,1,1,0],$fot(meet(A,B))]]) ).
cnf(refute_0_329,plain,
( join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))
| join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),meet(A,B)) )],[refute_0_159,refute_0_328]) ).
cnf(refute_0_330,plain,
join(complement(A),complement(B)) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,meet(join(complement(A),complement(B)),complement(complement(join(complement(A),complement(B))))))) )],[refute_0_327,refute_0_329]) ).
cnf(refute_0_331,plain,
join(complement(complement(meet(A,B))),meet(A,B)) = join(meet(A,B),complement(complement(meet(A,B)))),
inference(subst,[],[refute_0_53:[bind(A,$fot(meet(A,B))),bind(B,$fot(complement(complement(meet(A,B)))))]]) ).
cnf(refute_0_332,plain,
complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(A,B))),meet(A,B))))]]) ).
cnf(refute_0_333,plain,
( complement(join(complement(complement(meet(A,B))),meet(A,B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
| join(complement(complement(meet(A,B))),meet(A,B)) != join(meet(A,B),complement(complement(meet(A,B))))
| complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(A,B))),meet(A,B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) ),[1,0],$fot(join(meet(A,B),complement(complement(meet(A,B)))))]]) ).
cnf(refute_0_334,plain,
( join(complement(complement(meet(A,B))),meet(A,B)) != join(meet(A,B),complement(complement(meet(A,B))))
| complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(A,B))),meet(A,B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
complement(join(complement(complement(meet(A,B))),meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(A,B))),meet(A,B)),join(meet(A,B),complement(complement(meet(A,B))))) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
meet(complement(meet(A,B)),join(complement(A),complement(B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))),
inference(subst,[],[refute_0_326:[bind(A,$fot(complement(meet(A,B)))),bind(X_15,$fot(A)),bind(X_16,$fot(B))]]) ).
cnf(refute_0_337,plain,
meet(join(complement(A),complement(B)),complement(meet(A,B))) = meet(complement(meet(A,B)),join(complement(A),complement(B))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(complement(meet(A,B)))),bind(X_16,$fot(join(complement(A),complement(B))))]]) ).
cnf(refute_0_338,plain,
( meet(complement(meet(A,B)),join(complement(A),complement(B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) != meet(complement(meet(A,B)),join(complement(A),complement(B)))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(complement(A),complement(B)),complement(meet(A,B))))),bind(Y,$fot(meet(complement(meet(A,B)),join(complement(A),complement(B))))),bind(Z,$fot(complement(join(complement(complement(meet(A,B))),meet(A,B)))))]]) ).
cnf(refute_0_339,plain,
( meet(complement(meet(A,B)),join(complement(A),complement(B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(A),complement(B)),complement(meet(A,B))),meet(complement(meet(A,B)),join(complement(A),complement(B)))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(complement(complement(meet(A,B))),meet(A,B))),
inference(resolve,[$cnf( $equal(meet(complement(meet(A,B)),join(complement(A),complement(B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) )],[refute_0_336,refute_0_339]) ).
cnf(refute_0_341,plain,
( complement(join(complement(complement(meet(A,B))),meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) != complement(join(complement(complement(meet(A,B))),meet(A,B)))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(complement(A),complement(B)),complement(meet(A,B))))),bind(Y,$fot(complement(join(complement(complement(meet(A,B))),meet(A,B))))),bind(Z,$fot(complement(join(meet(A,B),complement(complement(meet(A,B)))))))]]) ).
cnf(refute_0_342,plain,
( complement(join(complement(complement(meet(A,B))),meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(A),complement(B)),complement(meet(A,B))),complement(join(complement(complement(meet(A,B))),meet(A,B)))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
meet(join(complement(A),complement(B)),complement(meet(A,B))) = complement(join(meet(A,B),complement(complement(meet(A,B))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(A,B))),meet(A,B))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_335,refute_0_342]) ).
cnf(refute_0_344,plain,
join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))))]]) ).
cnf(refute_0_345,plain,
( join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) != join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))
| meet(join(complement(A),complement(B)),complement(meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
| join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))) ),[1,1],$fot(complement(join(meet(A,B),complement(complement(meet(A,B))))))]]) ).
cnf(refute_0_346,plain,
( meet(join(complement(A),complement(B)),complement(meet(A,B))) != complement(join(meet(A,B),complement(complement(meet(A,B)))))
| join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),
inference(resolve,[$cnf( $equal(meet(join(complement(A),complement(B)),complement(meet(A,B))),complement(join(meet(A,B),complement(complement(meet(A,B)))))) )],[refute_0_343,refute_0_346]) ).
cnf(refute_0_348,plain,
( join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))
| join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))) != join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))
| join(complement(A),complement(B)) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(A),complement(B)),join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))) ),[0],$fot(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))))]]) ).
cnf(refute_0_349,plain,
( join(complement(A),complement(B)) != join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))
| join(complement(A),complement(B)) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B)))),join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
join(complement(A),complement(B)) = join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,meet(join(complement(A),complement(B)),complement(meet(A,B))))) )],[refute_0_330,refute_0_349]) ).
cnf(refute_0_351,plain,
( complement(X_74) != join(zero,complement(join(X_74,complement(complement(X_74)))))
| join(zero,complement(join(X_74,complement(complement(X_74))))) = complement(X_74) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_74))),bind(Y,$fot(join(zero,complement(join(X_74,complement(complement(X_74)))))))]]) ).
cnf(refute_0_352,plain,
join(zero,complement(join(X_74,complement(complement(X_74))))) = complement(X_74),
inference(resolve,[$cnf( $equal(complement(X_74),join(zero,complement(join(X_74,complement(complement(X_74)))))) )],[refute_0_233,refute_0_351]) ).
cnf(refute_0_353,plain,
join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) = complement(meet(A,B)),
inference(subst,[],[refute_0_352:[bind(X_74,$fot(meet(A,B)))]]) ).
cnf(refute_0_354,plain,
( join(complement(A),complement(B)) != join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))
| join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))) != complement(meet(A,B))
| join(complement(A),complement(B)) = complement(meet(A,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(A),complement(B)),complement(meet(A,B))) ),[0],$fot(join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))))]]) ).
cnf(refute_0_355,plain,
( join(complement(A),complement(B)) != join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))
| join(complement(A),complement(B)) = complement(meet(A,B)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(A,B),complement(complement(meet(A,B)))))),complement(meet(A,B))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
join(complement(A),complement(B)) = complement(meet(A,B)),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),join(zero,complement(join(meet(A,B),complement(complement(meet(A,B))))))) )],[refute_0_350,refute_0_355]) ).
cnf(refute_0_357,plain,
join(complement(X_15),complement(X_16)) = complement(meet(X_15,X_16)),
inference(subst,[],[refute_0_356:[bind(A,$fot(X_15)),bind(B,$fot(X_16))]]) ).
cnf(refute_0_358,plain,
meet(A,join(complement(X_15),complement(X_16))) = meet(A,join(complement(X_15),complement(X_16))),
introduced(tautology,[refl,[$fot(meet(A,join(complement(X_15),complement(X_16))))]]) ).
cnf(refute_0_359,plain,
( join(complement(X_15),complement(X_16)) != complement(meet(X_15,X_16))
| meet(A,join(complement(X_15),complement(X_16))) != meet(A,join(complement(X_15),complement(X_16)))
| meet(A,join(complement(X_15),complement(X_16))) = meet(A,complement(meet(X_15,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_15),complement(X_16))),meet(A,join(complement(X_15),complement(X_16)))) ),[1,1],$fot(complement(meet(X_15,X_16)))]]) ).
cnf(refute_0_360,plain,
( join(complement(X_15),complement(X_16)) != complement(meet(X_15,X_16))
| meet(A,join(complement(X_15),complement(X_16))) = meet(A,complement(meet(X_15,X_16))) ),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_15),complement(X_16))),meet(A,join(complement(X_15),complement(X_16)))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
meet(A,join(complement(X_15),complement(X_16))) = meet(A,complement(meet(X_15,X_16))),
inference(resolve,[$cnf( $equal(join(complement(X_15),complement(X_16)),complement(meet(X_15,X_16))) )],[refute_0_357,refute_0_360]) ).
cnf(refute_0_362,plain,
( meet(A,join(complement(X_15),complement(X_16))) != complement(join(complement(A),meet(X_15,X_16)))
| meet(A,join(complement(X_15),complement(X_16))) != meet(A,complement(meet(X_15,X_16)))
| meet(A,complement(meet(X_15,X_16))) = complement(join(complement(A),meet(X_15,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(complement(X_15),complement(X_16))),complement(join(complement(A),meet(X_15,X_16)))) ),[0],$fot(meet(A,complement(meet(X_15,X_16))))]]) ).
cnf(refute_0_363,plain,
( meet(A,join(complement(X_15),complement(X_16))) != complement(join(complement(A),meet(X_15,X_16)))
| meet(A,complement(meet(X_15,X_16))) = complement(join(complement(A),meet(X_15,X_16))) ),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_15),complement(X_16))),meet(A,complement(meet(X_15,X_16)))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
meet(A,complement(meet(X_15,X_16))) = complement(join(complement(A),meet(X_15,X_16))),
inference(resolve,[$cnf( $equal(meet(A,join(complement(X_15),complement(X_16))),complement(join(complement(A),meet(X_15,X_16)))) )],[refute_0_326,refute_0_363]) ).
cnf(refute_0_365,plain,
( meet(A,complement(meet(X_15,X_16))) != complement(join(complement(A),meet(X_15,X_16)))
| complement(join(complement(A),meet(X_15,X_16))) = meet(A,complement(meet(X_15,X_16))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,complement(meet(X_15,X_16))))),bind(Y,$fot(complement(join(complement(A),meet(X_15,X_16)))))]]) ).
cnf(refute_0_366,plain,
complement(join(complement(A),meet(X_15,X_16))) = meet(A,complement(meet(X_15,X_16))),
inference(resolve,[$cnf( $equal(meet(A,complement(meet(X_15,X_16))),complement(join(complement(A),meet(X_15,X_16)))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
complement(join(complement(A),meet(top,X_25))) = meet(A,complement(meet(top,X_25))),
inference(subst,[],[refute_0_366:[bind(X_15,$fot(top)),bind(X_16,$fot(X_25))]]) ).
cnf(refute_0_368,plain,
( complement(join(complement(A),meet(top,X_25))) != meet(A,complement(meet(top,X_25)))
| meet(A,join(zero,complement(X_25))) != complement(join(complement(A),meet(top,X_25)))
| meet(A,join(zero,complement(X_25))) = meet(A,complement(meet(top,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,join(zero,complement(X_25))),complement(join(complement(A),meet(top,X_25)))) ),[1],$fot(meet(A,complement(meet(top,X_25))))]]) ).
cnf(refute_0_369,plain,
( meet(A,join(zero,complement(X_25))) != complement(join(complement(A),meet(top,X_25)))
| meet(A,join(zero,complement(X_25))) = meet(A,complement(meet(top,X_25))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),meet(top,X_25))),meet(A,complement(meet(top,X_25)))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
meet(A,join(zero,complement(X_25))) = meet(A,complement(meet(top,X_25))),
inference(resolve,[$cnf( $equal(meet(A,join(zero,complement(X_25))),complement(join(complement(A),meet(top,X_25)))) )],[refute_0_322,refute_0_369]) ).
cnf(refute_0_371,plain,
meet(complement(meet(top,B)),join(zero,complement(B))) = meet(complement(meet(top,B)),complement(meet(top,B))),
inference(subst,[],[refute_0_370:[bind(A,$fot(complement(meet(top,B)))),bind(X_25,$fot(B))]]) ).
cnf(refute_0_372,plain,
join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))))]]) ).
cnf(refute_0_373,plain,
( join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) != join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))
| meet(complement(meet(top,B)),join(zero,complement(B))) != meet(complement(meet(top,B)),complement(meet(top,B)))
| join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))) ),[1,1],$fot(meet(complement(meet(top,B)),complement(meet(top,B))))]]) ).
cnf(refute_0_374,plain,
( meet(complement(meet(top,B)),join(zero,complement(B))) != meet(complement(meet(top,B)),complement(meet(top,B)))
| join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,B)),join(zero,complement(B))),meet(complement(meet(top,B)),complement(meet(top,B)))) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
( join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))) != complement(meet(top,B))
| join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) != join(zero,meet(complement(meet(top,B)),complement(meet(top,B))))
| join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = complement(meet(top,B)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))))),bind(Y,$fot(join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))))),bind(Z,$fot(complement(meet(top,B))))]]) ).
cnf(refute_0_377,plain,
( join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))) != complement(meet(top,B))
| join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = complement(meet(top,B)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),join(zero,meet(complement(meet(top,B)),complement(meet(top,B))))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) = complement(meet(top,B)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,B)),complement(meet(top,B)))),complement(meet(top,B))) )],[refute_0_315,refute_0_377]) ).
cnf(refute_0_379,plain,
( join(zero,complement(B)) != join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))
| join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))) != complement(meet(top,B))
| join(zero,complement(B)) = complement(meet(top,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(B)),complement(meet(top,B))) ),[0],$fot(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))))]]) ).
cnf(refute_0_380,plain,
( join(zero,complement(B)) != join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))
| join(zero,complement(B)) = complement(meet(top,B)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,B)),join(zero,complement(B)))),complement(meet(top,B))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
join(zero,complement(B)) = complement(meet(top,B)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(zero,meet(complement(meet(top,B)),join(zero,complement(B))))) )],[refute_0_297,refute_0_380]) ).
cnf(refute_0_382,plain,
join(zero,complement(join(X_74,complement(complement(X_74))))) = complement(meet(top,join(X_74,complement(complement(X_74))))),
inference(subst,[],[refute_0_381:[bind(B,$fot(join(X_74,complement(complement(X_74)))))]]) ).
cnf(refute_0_383,plain,
( complement(X_74) != join(zero,complement(join(X_74,complement(complement(X_74)))))
| join(zero,complement(join(X_74,complement(complement(X_74))))) != complement(meet(top,join(X_74,complement(complement(X_74)))))
| complement(X_74) = complement(meet(top,join(X_74,complement(complement(X_74))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_74),complement(meet(top,join(X_74,complement(complement(X_74)))))) ),[0],$fot(join(zero,complement(join(X_74,complement(complement(X_74))))))]]) ).
cnf(refute_0_384,plain,
( complement(X_74) != join(zero,complement(join(X_74,complement(complement(X_74)))))
| complement(X_74) = complement(meet(top,join(X_74,complement(complement(X_74))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(X_74,complement(complement(X_74))))),complement(meet(top,join(X_74,complement(complement(X_74)))))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
complement(X_74) = complement(meet(top,join(X_74,complement(complement(X_74))))),
inference(resolve,[$cnf( $equal(complement(X_74),join(zero,complement(join(X_74,complement(complement(X_74)))))) )],[refute_0_233,refute_0_384]) ).
cnf(refute_0_386,plain,
join(X_42,complement(X_41)) = join(complement(X_41),X_42),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_42)),bind(B,$fot(complement(X_41)))]]) ).
cnf(refute_0_387,plain,
( join(X_42,complement(X_41)) != join(complement(X_41),X_42)
| join(complement(X_41),X_42) = join(X_42,complement(X_41)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_42,complement(X_41)))),bind(Y,$fot(join(complement(X_41),X_42)))]]) ).
cnf(refute_0_388,plain,
join(complement(X_41),X_42) = join(X_42,complement(X_41)),
inference(resolve,[$cnf( $equal(join(X_42,complement(X_41)),join(complement(X_41),X_42)) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
( X_41 != join(meet(X_41,X_42),complement(join(complement(X_41),X_42)))
| join(complement(X_41),X_42) != join(X_42,complement(X_41))
| X_41 = join(meet(X_41,X_42),complement(join(X_42,complement(X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,X_42),complement(join(complement(X_41),X_42)))) ),[1,1,0],$fot(join(X_42,complement(X_41)))]]) ).
cnf(refute_0_390,plain,
( X_41 != join(meet(X_41,X_42),complement(join(complement(X_41),X_42)))
| X_41 = join(meet(X_41,X_42),complement(join(X_42,complement(X_41)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),X_42),join(X_42,complement(X_41))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
X_41 = join(meet(X_41,X_42),complement(join(X_42,complement(X_41)))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,X_42),complement(join(complement(X_41),X_42)))) )],[refute_0_208,refute_0_390]) ).
cnf(refute_0_392,plain,
meet(top,X_25) = join(meet(meet(top,X_25),join(zero,complement(X_25))),complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))),
inference(subst,[],[refute_0_391:[bind(X_41,$fot(meet(top,X_25))),bind(X_42,$fot(join(zero,complement(X_25))))]]) ).
cnf(refute_0_393,plain,
zero = meet(join(zero,complement(X_25)),complement(join(zero,complement(X_25)))),
inference(subst,[],[def_zero_13:[bind(A,$fot(join(zero,complement(X_25))))]]) ).
cnf(refute_0_394,plain,
( complement(join(zero,complement(X_25))) != meet(top,X_25)
| zero != meet(join(zero,complement(X_25)),complement(join(zero,complement(X_25))))
| zero = meet(join(zero,complement(X_25)),meet(top,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_25)),complement(join(zero,complement(X_25))))) ),[1,1],$fot(meet(top,X_25))]]) ).
cnf(refute_0_395,plain,
( zero != meet(join(zero,complement(X_25)),complement(join(zero,complement(X_25))))
| zero = meet(join(zero,complement(X_25)),meet(top,X_25)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_25))),meet(top,X_25)) )],[refute_0_319,refute_0_394]) ).
cnf(refute_0_396,plain,
zero = meet(join(zero,complement(X_25)),meet(top,X_25)),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_25)),complement(join(zero,complement(X_25))))) )],[refute_0_393,refute_0_395]) ).
cnf(refute_0_397,plain,
meet(join(zero,complement(X_25)),meet(top,X_25)) = meet(meet(top,X_25),join(zero,complement(X_25))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(meet(top,X_25))),bind(X_16,$fot(join(zero,complement(X_25))))]]) ).
cnf(refute_0_398,plain,
( meet(join(zero,complement(X_25)),meet(top,X_25)) != meet(meet(top,X_25),join(zero,complement(X_25)))
| zero != meet(join(zero,complement(X_25)),meet(top,X_25))
| zero = meet(meet(top,X_25),join(zero,complement(X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_25)),meet(top,X_25))) ),[1],$fot(meet(meet(top,X_25),join(zero,complement(X_25))))]]) ).
cnf(refute_0_399,plain,
( zero != meet(join(zero,complement(X_25)),meet(top,X_25))
| zero = meet(meet(top,X_25),join(zero,complement(X_25))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_25)),meet(top,X_25)),meet(meet(top,X_25),join(zero,complement(X_25)))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
zero = meet(meet(top,X_25),join(zero,complement(X_25))),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_25)),meet(top,X_25))) )],[refute_0_396,refute_0_399]) ).
cnf(refute_0_401,plain,
( zero != meet(meet(top,X_25),join(zero,complement(X_25)))
| meet(meet(top,X_25),join(zero,complement(X_25))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(top,X_25),join(zero,complement(X_25)))))]]) ).
cnf(refute_0_402,plain,
meet(meet(top,X_25),join(zero,complement(X_25))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_25),join(zero,complement(X_25)))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
( meet(meet(top,X_25),join(zero,complement(X_25))) != zero
| meet(top,X_25) != join(meet(meet(top,X_25),join(zero,complement(X_25))),complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))))
| meet(top,X_25) = join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_25),join(meet(meet(top,X_25),join(zero,complement(X_25))),complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_404,plain,
( meet(top,X_25) != join(meet(meet(top,X_25),join(zero,complement(X_25))),complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))))
| meet(top,X_25) = join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_25),join(zero,complement(X_25))),zero) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
meet(top,X_25) = join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))),
inference(resolve,[$cnf( $equal(meet(top,X_25),join(meet(meet(top,X_25),join(zero,complement(X_25))),complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))))) )],[refute_0_392,refute_0_404]) ).
cnf(refute_0_406,plain,
join(join(zero,complement(X_25)),complement(meet(top,X_25))) = join(zero,join(complement(X_25),complement(meet(top,X_25)))),
inference(subst,[],[refute_0_147:[bind(A,$fot(zero)),bind(B,$fot(complement(X_25))),bind(C,$fot(complement(meet(top,X_25))))]]) ).
cnf(refute_0_407,plain,
complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))) = complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))),
introduced(tautology,[refl,[$fot(complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))))]]) ).
cnf(refute_0_408,plain,
( complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))) != complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))
| join(join(zero,complement(X_25)),complement(meet(top,X_25))) != join(zero,join(complement(X_25),complement(meet(top,X_25))))
| complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))) = complement(join(zero,join(complement(X_25),complement(meet(top,X_25))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))),complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))) ),[1,0],$fot(join(zero,join(complement(X_25),complement(meet(top,X_25)))))]]) ).
cnf(refute_0_409,plain,
( join(join(zero,complement(X_25)),complement(meet(top,X_25))) != join(zero,join(complement(X_25),complement(meet(top,X_25))))
| complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))) = complement(join(zero,join(complement(X_25),complement(meet(top,X_25))))) ),
inference(resolve,[$cnf( $equal(complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))),complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))) = complement(join(zero,join(complement(X_25),complement(meet(top,X_25))))),
inference(resolve,[$cnf( $equal(join(join(zero,complement(X_25)),complement(meet(top,X_25))),join(zero,join(complement(X_25),complement(meet(top,X_25))))) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))) = join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))))]]) ).
cnf(refute_0_412,plain,
( complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))) != complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))
| join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))) != join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))))
| join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))) = join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))),join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))))) ),[1,1],$fot(complement(join(zero,join(complement(X_25),complement(meet(top,X_25))))))]]) ).
cnf(refute_0_413,plain,
( complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))) != complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))
| join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))) = join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))),join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))) = join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))),
inference(resolve,[$cnf( $equal(complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))),complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))) )],[refute_0_410,refute_0_413]) ).
cnf(refute_0_415,plain,
( join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))) != join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25))))))
| meet(top,X_25) != join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))))
| meet(top,X_25) = join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_25),join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))))) ),[1],$fot(join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))))]]) ).
cnf(refute_0_416,plain,
( meet(top,X_25) != join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))))
| meet(top,X_25) = join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25))))),join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25))))))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
meet(top,X_25) = join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))),
inference(resolve,[$cnf( $equal(meet(top,X_25),join(zero,complement(join(join(zero,complement(X_25)),complement(meet(top,X_25)))))) )],[refute_0_405,refute_0_416]) ).
cnf(refute_0_418,plain,
meet(top,X_69) = join(meet(meet(top,X_69),join(zero,complement(X_69))),complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(meet(top,X_69))),bind(B,$fot(join(zero,complement(X_69))))]]) ).
cnf(refute_0_419,plain,
zero = meet(meet(top,X_69),join(zero,complement(X_69))),
inference(subst,[],[refute_0_400:[bind(X_25,$fot(X_69))]]) ).
cnf(refute_0_420,plain,
( zero != meet(meet(top,X_69),join(zero,complement(X_69)))
| meet(meet(top,X_69),join(zero,complement(X_69))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(top,X_69),join(zero,complement(X_69)))))]]) ).
cnf(refute_0_421,plain,
meet(meet(top,X_69),join(zero,complement(X_69))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_69),join(zero,complement(X_69)))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
( meet(meet(top,X_69),join(zero,complement(X_69))) != zero
| meet(top,X_69) != join(meet(meet(top,X_69),join(zero,complement(X_69))),complement(join(complement(meet(top,X_69)),join(zero,complement(X_69)))))
| meet(top,X_69) = join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_69),join(meet(meet(top,X_69),join(zero,complement(X_69))),complement(join(complement(meet(top,X_69)),join(zero,complement(X_69)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_423,plain,
( meet(top,X_69) != join(meet(meet(top,X_69),join(zero,complement(X_69))),complement(join(complement(meet(top,X_69)),join(zero,complement(X_69)))))
| meet(top,X_69) = join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_69),join(zero,complement(X_69))),zero) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
meet(top,X_69) = join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))),
inference(resolve,[$cnf( $equal(meet(top,X_69),join(meet(meet(top,X_69),join(zero,complement(X_69))),complement(join(complement(meet(top,X_69)),join(zero,complement(X_69)))))) )],[refute_0_418,refute_0_423]) ).
cnf(refute_0_425,plain,
meet(top,join(zero,complement(X_25))) = complement(join(zero,complement(join(zero,complement(X_25))))),
inference(subst,[],[refute_0_282:[bind(B,$fot(join(zero,complement(X_25))))]]) ).
cnf(refute_0_426,plain,
( complement(join(zero,complement(X_25))) != meet(top,X_25)
| meet(top,join(zero,complement(X_25))) != complement(join(zero,complement(join(zero,complement(X_25)))))
| meet(top,join(zero,complement(X_25))) = complement(join(zero,meet(top,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_25))),complement(join(zero,complement(join(zero,complement(X_25)))))) ),[1,0,1],$fot(meet(top,X_25))]]) ).
cnf(refute_0_427,plain,
( meet(top,join(zero,complement(X_25))) != complement(join(zero,complement(join(zero,complement(X_25)))))
| meet(top,join(zero,complement(X_25))) = complement(join(zero,meet(top,X_25))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_25))),meet(top,X_25)) )],[refute_0_319,refute_0_426]) ).
cnf(refute_0_428,plain,
meet(top,join(zero,complement(X_25))) = complement(join(zero,meet(top,X_25))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_25))),complement(join(zero,complement(join(zero,complement(X_25)))))) )],[refute_0_425,refute_0_427]) ).
cnf(refute_0_429,plain,
meet(top,join(zero,complement(X_25))) = meet(top,complement(meet(top,X_25))),
inference(subst,[],[refute_0_370:[bind(A,$fot(top))]]) ).
cnf(refute_0_430,plain,
( meet(top,join(zero,complement(X_25))) != complement(join(zero,meet(top,X_25)))
| meet(top,join(zero,complement(X_25))) != meet(top,complement(meet(top,X_25)))
| meet(top,complement(meet(top,X_25))) = complement(join(zero,meet(top,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_25))),complement(join(zero,meet(top,X_25)))) ),[0],$fot(meet(top,complement(meet(top,X_25))))]]) ).
cnf(refute_0_431,plain,
( meet(top,join(zero,complement(X_25))) != complement(join(zero,meet(top,X_25)))
| meet(top,complement(meet(top,X_25))) = complement(join(zero,meet(top,X_25))) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_25))),meet(top,complement(meet(top,X_25)))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
meet(top,complement(meet(top,X_25))) = complement(join(zero,meet(top,X_25))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_25))),complement(join(zero,meet(top,X_25)))) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
meet(top,complement(meet(top,X_69))) = complement(join(zero,meet(top,X_69))),
inference(subst,[],[refute_0_432:[bind(X_25,$fot(X_69))]]) ).
cnf(refute_0_434,plain,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = join(complement(B),composition(converse(A),complement(composition(A,B)))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(B))),bind(B,$fot(composition(converse(A),complement(composition(A,B)))))]]) ).
cnf(refute_0_435,plain,
( join(composition(converse(A),complement(composition(A,B))),complement(B)) != complement(B)
| join(composition(converse(A),complement(composition(A,B))),complement(B)) != join(complement(B),composition(converse(A),complement(composition(A,B))))
| join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)) ),[0],$fot(join(complement(B),composition(converse(A),complement(composition(A,B)))))]]) ).
cnf(refute_0_436,plain,
( join(composition(converse(A),complement(composition(A,B))),complement(B)) != complement(B)
| join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B) ),
inference(resolve,[$cnf( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),join(complement(B),composition(converse(A),complement(composition(A,B))))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
join(complement(B),composition(converse(A),complement(composition(A,B)))) = complement(B),
inference(resolve,[$cnf( $equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)) )],[converse_cancellativity_11,refute_0_436]) ).
cnf(refute_0_438,plain,
join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))) = complement(B),
inference(subst,[],[refute_0_437:[bind(A,$fot(converse(one)))]]) ).
cnf(refute_0_439,plain,
B = composition(converse(one),B),
inference(subst,[],[refute_0_29:[bind(X_36,$fot(B))]]) ).
cnf(refute_0_440,plain,
( B != composition(converse(one),B)
| composition(converse(one),B) = B ),
inference(subst,[],[refute_0_2:[bind(X,$fot(B)),bind(Y,$fot(composition(converse(one),B)))]]) ).
cnf(refute_0_441,plain,
composition(converse(one),B) = B,
inference(resolve,[$cnf( $equal(B,composition(converse(one),B)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
( composition(converse(one),B) != B
| join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))) != complement(B)
| join(complement(B),composition(converse(converse(one)),complement(B))) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))),complement(B)) ),[0,1,1,0],$fot(B)]]) ).
cnf(refute_0_443,plain,
( join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))) != complement(B)
| join(complement(B),composition(converse(converse(one)),complement(B))) = complement(B) ),
inference(resolve,[$cnf( $equal(composition(converse(one),B),B) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
join(complement(B),composition(converse(converse(one)),complement(B))) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(composition(converse(one),B)))),complement(B)) )],[refute_0_438,refute_0_443]) ).
cnf(refute_0_445,plain,
converse(converse(one)) = one,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(one))]]) ).
cnf(refute_0_446,plain,
composition(converse(converse(one)),complement(B)) = composition(converse(converse(one)),complement(B)),
introduced(tautology,[refl,[$fot(composition(converse(converse(one)),complement(B)))]]) ).
cnf(refute_0_447,plain,
( composition(converse(converse(one)),complement(B)) != composition(converse(converse(one)),complement(B))
| converse(converse(one)) != one
| composition(converse(converse(one)),complement(B)) = composition(one,complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(one)),complement(B)),composition(converse(converse(one)),complement(B))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_448,plain,
( converse(converse(one)) != one
| composition(converse(converse(one)),complement(B)) = composition(one,complement(B)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(B)),composition(converse(converse(one)),complement(B))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
composition(converse(converse(one)),complement(B)) = composition(one,complement(B)),
inference(resolve,[$cnf( $equal(converse(converse(one)),one) )],[refute_0_445,refute_0_448]) ).
cnf(refute_0_450,plain,
join(complement(B),composition(converse(converse(one)),complement(B))) = join(complement(B),composition(converse(converse(one)),complement(B))),
introduced(tautology,[refl,[$fot(join(complement(B),composition(converse(converse(one)),complement(B))))]]) ).
cnf(refute_0_451,plain,
( composition(converse(converse(one)),complement(B)) != composition(one,complement(B))
| join(complement(B),composition(converse(converse(one)),complement(B))) != join(complement(B),composition(converse(converse(one)),complement(B)))
| join(complement(B),composition(converse(converse(one)),complement(B))) = join(complement(B),composition(one,complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),join(complement(B),composition(converse(converse(one)),complement(B)))) ),[1,1],$fot(composition(one,complement(B)))]]) ).
cnf(refute_0_452,plain,
( composition(converse(converse(one)),complement(B)) != composition(one,complement(B))
| join(complement(B),composition(converse(converse(one)),complement(B))) = join(complement(B),composition(one,complement(B))) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),join(complement(B),composition(converse(converse(one)),complement(B)))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
join(complement(B),composition(converse(converse(one)),complement(B))) = join(complement(B),composition(one,complement(B))),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(B)),composition(one,complement(B))) )],[refute_0_449,refute_0_452]) ).
cnf(refute_0_454,plain,
( join(complement(B),composition(converse(converse(one)),complement(B))) != complement(B)
| join(complement(B),composition(converse(converse(one)),complement(B))) != join(complement(B),composition(one,complement(B)))
| join(complement(B),composition(one,complement(B))) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),complement(B)) ),[0],$fot(join(complement(B),composition(one,complement(B))))]]) ).
cnf(refute_0_455,plain,
( join(complement(B),composition(converse(converse(one)),complement(B))) != complement(B)
| join(complement(B),composition(one,complement(B))) = complement(B) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),join(complement(B),composition(one,complement(B)))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
join(complement(B),composition(one,complement(B))) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(one)),complement(B))),complement(B)) )],[refute_0_444,refute_0_455]) ).
cnf(refute_0_457,plain,
( X_36 != composition(one,X_36)
| composition(one,X_36) = X_36 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_36)),bind(Y,$fot(composition(one,X_36)))]]) ).
cnf(refute_0_458,plain,
composition(one,X_36) = X_36,
inference(resolve,[$cnf( $equal(X_36,composition(one,X_36)) )],[refute_0_45,refute_0_457]) ).
cnf(refute_0_459,plain,
composition(one,complement(B)) = complement(B),
inference(subst,[],[refute_0_458:[bind(X_36,$fot(complement(B)))]]) ).
cnf(refute_0_460,plain,
join(complement(B),composition(one,complement(B))) = join(complement(B),composition(one,complement(B))),
introduced(tautology,[refl,[$fot(join(complement(B),composition(one,complement(B))))]]) ).
cnf(refute_0_461,plain,
( composition(one,complement(B)) != complement(B)
| join(complement(B),composition(one,complement(B))) != join(complement(B),composition(one,complement(B)))
| join(complement(B),composition(one,complement(B))) = join(complement(B),complement(B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(one,complement(B))),join(complement(B),composition(one,complement(B)))) ),[1,1],$fot(complement(B))]]) ).
cnf(refute_0_462,plain,
( composition(one,complement(B)) != complement(B)
| join(complement(B),composition(one,complement(B))) = join(complement(B),complement(B)) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(one,complement(B))),join(complement(B),composition(one,complement(B)))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
join(complement(B),composition(one,complement(B))) = join(complement(B),complement(B)),
inference(resolve,[$cnf( $equal(composition(one,complement(B)),complement(B)) )],[refute_0_459,refute_0_462]) ).
cnf(refute_0_464,plain,
( join(complement(B),composition(one,complement(B))) != complement(B)
| join(complement(B),composition(one,complement(B))) != join(complement(B),complement(B))
| join(complement(B),complement(B)) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(one,complement(B))),complement(B)) ),[0],$fot(join(complement(B),complement(B)))]]) ).
cnf(refute_0_465,plain,
( join(complement(B),composition(one,complement(B))) != complement(B)
| join(complement(B),complement(B)) = complement(B) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(one,complement(B))),join(complement(B),complement(B))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
join(complement(B),complement(B)) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(one,complement(B))),complement(B)) )],[refute_0_456,refute_0_465]) ).
cnf(refute_0_467,plain,
join(complement(B),complement(B)) = complement(meet(B,B)),
inference(subst,[],[refute_0_356:[bind(A,$fot(B))]]) ).
cnf(refute_0_468,plain,
( join(complement(B),complement(B)) != complement(B)
| join(complement(B),complement(B)) != complement(meet(B,B))
| complement(meet(B,B)) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),complement(B)),complement(B)) ),[0],$fot(complement(meet(B,B)))]]) ).
cnf(refute_0_469,plain,
( join(complement(B),complement(B)) != complement(B)
| complement(meet(B,B)) = complement(B) ),
inference(resolve,[$cnf( $equal(join(complement(B),complement(B)),complement(meet(B,B))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
complement(meet(B,B)) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),complement(B)),complement(B)) )],[refute_0_466,refute_0_469]) ).
cnf(refute_0_471,plain,
complement(meet(meet(top,X_69),meet(top,X_69))) = complement(meet(top,X_69)),
inference(subst,[],[refute_0_470:[bind(B,$fot(meet(top,X_69)))]]) ).
cnf(refute_0_472,plain,
join(complement(meet(top,X_69)),complement(meet(top,X_69))) = complement(meet(meet(top,X_69),meet(top,X_69))),
inference(subst,[],[refute_0_356:[bind(A,$fot(meet(top,X_69))),bind(B,$fot(meet(top,X_69)))]]) ).
cnf(refute_0_473,plain,
( complement(meet(meet(top,X_69),meet(top,X_69))) != complement(meet(top,X_69))
| join(complement(meet(top,X_69)),complement(meet(top,X_69))) != complement(meet(meet(top,X_69),meet(top,X_69)))
| join(complement(meet(top,X_69)),complement(meet(top,X_69))) = complement(meet(top,X_69)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(meet(top,X_69)),complement(meet(top,X_69))))),bind(Y,$fot(complement(meet(meet(top,X_69),meet(top,X_69))))),bind(Z,$fot(complement(meet(top,X_69))))]]) ).
cnf(refute_0_474,plain,
( complement(meet(meet(top,X_69),meet(top,X_69))) != complement(meet(top,X_69))
| join(complement(meet(top,X_69)),complement(meet(top,X_69))) = complement(meet(top,X_69)) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_69)),complement(meet(top,X_69))),complement(meet(meet(top,X_69),meet(top,X_69)))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
join(complement(meet(top,X_69)),complement(meet(top,X_69))) = complement(meet(top,X_69)),
inference(resolve,[$cnf( $equal(complement(meet(meet(top,X_69),meet(top,X_69))),complement(meet(top,X_69))) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
join(zero,complement(X_69)) = complement(meet(top,X_69)),
inference(subst,[],[refute_0_381:[bind(B,$fot(X_69))]]) ).
cnf(refute_0_477,plain,
join(complement(meet(top,X_69)),join(zero,complement(X_69))) = join(complement(meet(top,X_69)),join(zero,complement(X_69))),
introduced(tautology,[refl,[$fot(join(complement(meet(top,X_69)),join(zero,complement(X_69))))]]) ).
cnf(refute_0_478,plain,
( join(complement(meet(top,X_69)),join(zero,complement(X_69))) != join(complement(meet(top,X_69)),join(zero,complement(X_69)))
| join(zero,complement(X_69)) != complement(meet(top,X_69))
| join(complement(meet(top,X_69)),join(zero,complement(X_69))) = join(complement(meet(top,X_69)),complement(meet(top,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(top,X_69)),join(zero,complement(X_69))),join(complement(meet(top,X_69)),join(zero,complement(X_69)))) ),[1,1],$fot(complement(meet(top,X_69)))]]) ).
cnf(refute_0_479,plain,
( join(zero,complement(X_69)) != complement(meet(top,X_69))
| join(complement(meet(top,X_69)),join(zero,complement(X_69))) = join(complement(meet(top,X_69)),complement(meet(top,X_69))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_69)),join(zero,complement(X_69))),join(complement(meet(top,X_69)),join(zero,complement(X_69)))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
join(complement(meet(top,X_69)),join(zero,complement(X_69))) = join(complement(meet(top,X_69)),complement(meet(top,X_69))),
inference(resolve,[$cnf( $equal(join(zero,complement(X_69)),complement(meet(top,X_69))) )],[refute_0_476,refute_0_479]) ).
cnf(refute_0_481,plain,
( join(complement(meet(top,X_69)),complement(meet(top,X_69))) != complement(meet(top,X_69))
| join(complement(meet(top,X_69)),join(zero,complement(X_69))) != join(complement(meet(top,X_69)),complement(meet(top,X_69)))
| join(complement(meet(top,X_69)),join(zero,complement(X_69))) = complement(meet(top,X_69)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(meet(top,X_69)),join(zero,complement(X_69))))),bind(Y,$fot(join(complement(meet(top,X_69)),complement(meet(top,X_69))))),bind(Z,$fot(complement(meet(top,X_69))))]]) ).
cnf(refute_0_482,plain,
( join(complement(meet(top,X_69)),complement(meet(top,X_69))) != complement(meet(top,X_69))
| join(complement(meet(top,X_69)),join(zero,complement(X_69))) = complement(meet(top,X_69)) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_69)),join(zero,complement(X_69))),join(complement(meet(top,X_69)),complement(meet(top,X_69)))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
join(complement(meet(top,X_69)),join(zero,complement(X_69))) = complement(meet(top,X_69)),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_69)),complement(meet(top,X_69))),complement(meet(top,X_69))) )],[refute_0_475,refute_0_482]) ).
cnf(refute_0_484,plain,
meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))) = meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))),
introduced(tautology,[refl,[$fot(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))))]]) ).
cnf(refute_0_485,plain,
( join(complement(meet(top,X_69)),join(zero,complement(X_69))) != complement(meet(top,X_69))
| meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))) != meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))
| meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))) = meet(top,complement(meet(top,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))),meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))) ),[1,1],$fot(complement(meet(top,X_69)))]]) ).
cnf(refute_0_486,plain,
( join(complement(meet(top,X_69)),join(zero,complement(X_69))) != complement(meet(top,X_69))
| meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))) = meet(top,complement(meet(top,X_69))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))),meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))) = meet(top,complement(meet(top,X_69))),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_69)),join(zero,complement(X_69))),complement(meet(top,X_69))) )],[refute_0_483,refute_0_486]) ).
cnf(refute_0_488,plain,
( meet(top,complement(meet(top,X_69))) != complement(join(zero,meet(top,X_69)))
| meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))) != meet(top,complement(meet(top,X_69)))
| meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))) = complement(join(zero,meet(top,X_69))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))))),bind(Y,$fot(meet(top,complement(meet(top,X_69))))),bind(Z,$fot(complement(join(zero,meet(top,X_69)))))]]) ).
cnf(refute_0_489,plain,
( meet(top,complement(meet(top,X_69))) != complement(join(zero,meet(top,X_69)))
| meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))) = complement(join(zero,meet(top,X_69))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))),meet(top,complement(meet(top,X_69)))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))) = complement(join(zero,meet(top,X_69))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,X_69))),complement(join(zero,meet(top,X_69)))) )],[refute_0_433,refute_0_489]) ).
cnf(refute_0_491,plain,
complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))) = complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))))]]) ).
cnf(refute_0_492,plain,
( complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))) != complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))))
| meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))) != complement(join(zero,meet(top,X_69)))
| complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))) = complement(complement(join(zero,meet(top,X_69)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))),complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))))) ),[1,0],$fot(complement(join(zero,meet(top,X_69))))]]) ).
cnf(refute_0_493,plain,
( meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))) != complement(join(zero,meet(top,X_69)))
| complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))) = complement(complement(join(zero,meet(top,X_69)))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))),complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))) = complement(complement(join(zero,meet(top,X_69)))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))),complement(join(zero,meet(top,X_69)))) )],[refute_0_490,refute_0_493]) ).
cnf(refute_0_495,plain,
join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))) = complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))),
inference(subst,[],[refute_0_381:[bind(B,$fot(join(complement(meet(top,X_69)),join(zero,complement(X_69)))))]]) ).
cnf(refute_0_496,plain,
( complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))) != complement(complement(join(zero,meet(top,X_69))))
| join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))) != complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))))
| join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))) = complement(complement(join(zero,meet(top,X_69)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))))),bind(Y,$fot(complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))))),bind(Z,$fot(complement(complement(join(zero,meet(top,X_69))))))]]) ).
cnf(refute_0_497,plain,
( complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))) != complement(complement(join(zero,meet(top,X_69))))
| join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))) = complement(complement(join(zero,meet(top,X_69)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))),complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69)))))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))) = complement(complement(join(zero,meet(top,X_69)))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(top,X_69)),join(zero,complement(X_69))))),complement(complement(join(zero,meet(top,X_69))))) )],[refute_0_494,refute_0_497]) ).
cnf(refute_0_499,plain,
( join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))) != complement(complement(join(zero,meet(top,X_69))))
| meet(top,X_69) != join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69)))))
| meet(top,X_69) = complement(complement(join(zero,meet(top,X_69)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_69),join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69)))))) ),[1],$fot(complement(complement(join(zero,meet(top,X_69)))))]]) ).
cnf(refute_0_500,plain,
( meet(top,X_69) != join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69)))))
| meet(top,X_69) = complement(complement(join(zero,meet(top,X_69)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69))))),complement(complement(join(zero,meet(top,X_69))))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
meet(top,X_69) = complement(complement(join(zero,meet(top,X_69)))),
inference(resolve,[$cnf( $equal(meet(top,X_69),join(zero,complement(join(complement(meet(top,X_69)),join(zero,complement(X_69)))))) )],[refute_0_424,refute_0_500]) ).
cnf(refute_0_502,plain,
( meet(top,X_69) != complement(complement(join(zero,meet(top,X_69))))
| complement(complement(join(zero,meet(top,X_69)))) = meet(top,X_69) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,X_69))),bind(Y,$fot(complement(complement(join(zero,meet(top,X_69))))))]]) ).
cnf(refute_0_503,plain,
complement(complement(join(zero,meet(top,X_69)))) = meet(top,X_69),
inference(resolve,[$cnf( $equal(meet(top,X_69),complement(complement(join(zero,meet(top,X_69))))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
complement(complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))) = meet(top,meet(X_25,meet(top,X_25))),
inference(subst,[],[refute_0_503:[bind(X_69,$fot(meet(X_25,meet(top,X_25))))]]) ).
cnf(refute_0_505,plain,
meet(top,complement(meet(top,meet(X_25,meet(top,X_25))))) = complement(join(zero,meet(top,meet(X_25,meet(top,X_25))))),
inference(subst,[],[refute_0_432:[bind(X_25,$fot(meet(X_25,meet(top,X_25))))]]) ).
cnf(refute_0_506,plain,
join(zero,complement(meet(X_25,meet(top,X_25)))) = complement(meet(top,meet(X_25,meet(top,X_25)))),
inference(subst,[],[refute_0_381:[bind(B,$fot(meet(X_25,meet(top,X_25))))]]) ).
cnf(refute_0_507,plain,
join(complement(X_25),complement(meet(top,X_25))) = complement(meet(X_25,meet(top,X_25))),
inference(subst,[],[refute_0_356:[bind(A,$fot(X_25)),bind(B,$fot(meet(top,X_25)))]]) ).
cnf(refute_0_508,plain,
join(zero,join(complement(X_25),complement(meet(top,X_25)))) = join(zero,join(complement(X_25),complement(meet(top,X_25)))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(X_25),complement(meet(top,X_25)))))]]) ).
cnf(refute_0_509,plain,
( join(complement(X_25),complement(meet(top,X_25))) != complement(meet(X_25,meet(top,X_25)))
| join(zero,join(complement(X_25),complement(meet(top,X_25)))) != join(zero,join(complement(X_25),complement(meet(top,X_25))))
| join(zero,join(complement(X_25),complement(meet(top,X_25)))) = join(zero,complement(meet(X_25,meet(top,X_25)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(X_25),complement(meet(top,X_25)))),join(zero,join(complement(X_25),complement(meet(top,X_25))))) ),[1,1],$fot(complement(meet(X_25,meet(top,X_25))))]]) ).
cnf(refute_0_510,plain,
( join(complement(X_25),complement(meet(top,X_25))) != complement(meet(X_25,meet(top,X_25)))
| join(zero,join(complement(X_25),complement(meet(top,X_25)))) = join(zero,complement(meet(X_25,meet(top,X_25)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_25),complement(meet(top,X_25)))),join(zero,join(complement(X_25),complement(meet(top,X_25))))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
join(zero,join(complement(X_25),complement(meet(top,X_25)))) = join(zero,complement(meet(X_25,meet(top,X_25)))),
inference(resolve,[$cnf( $equal(join(complement(X_25),complement(meet(top,X_25))),complement(meet(X_25,meet(top,X_25)))) )],[refute_0_507,refute_0_510]) ).
cnf(refute_0_512,plain,
( join(zero,complement(meet(X_25,meet(top,X_25)))) != complement(meet(top,meet(X_25,meet(top,X_25))))
| join(zero,join(complement(X_25),complement(meet(top,X_25)))) != join(zero,complement(meet(X_25,meet(top,X_25))))
| join(zero,join(complement(X_25),complement(meet(top,X_25)))) = complement(meet(top,meet(X_25,meet(top,X_25)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,join(complement(X_25),complement(meet(top,X_25)))))),bind(Y,$fot(join(zero,complement(meet(X_25,meet(top,X_25)))))),bind(Z,$fot(complement(meet(top,meet(X_25,meet(top,X_25))))))]]) ).
cnf(refute_0_513,plain,
( join(zero,complement(meet(X_25,meet(top,X_25)))) != complement(meet(top,meet(X_25,meet(top,X_25))))
| join(zero,join(complement(X_25),complement(meet(top,X_25)))) = complement(meet(top,meet(X_25,meet(top,X_25)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_25),complement(meet(top,X_25)))),join(zero,complement(meet(X_25,meet(top,X_25))))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
join(zero,join(complement(X_25),complement(meet(top,X_25)))) = complement(meet(top,meet(X_25,meet(top,X_25)))),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(X_25,meet(top,X_25)))),complement(meet(top,meet(X_25,meet(top,X_25))))) )],[refute_0_506,refute_0_513]) ).
cnf(refute_0_515,plain,
meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))) = meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))),
introduced(tautology,[refl,[$fot(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))))]]) ).
cnf(refute_0_516,plain,
( join(zero,join(complement(X_25),complement(meet(top,X_25)))) != complement(meet(top,meet(X_25,meet(top,X_25))))
| meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))) != meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))
| meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))) = meet(top,complement(meet(top,meet(X_25,meet(top,X_25))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))),meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) ),[1,1],$fot(complement(meet(top,meet(X_25,meet(top,X_25)))))]]) ).
cnf(refute_0_517,plain,
( join(zero,join(complement(X_25),complement(meet(top,X_25)))) != complement(meet(top,meet(X_25,meet(top,X_25))))
| meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))) = meet(top,complement(meet(top,meet(X_25,meet(top,X_25))))) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))),meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))) = meet(top,complement(meet(top,meet(X_25,meet(top,X_25))))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_25),complement(meet(top,X_25)))),complement(meet(top,meet(X_25,meet(top,X_25))))) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
( meet(top,complement(meet(top,meet(X_25,meet(top,X_25))))) != complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))
| meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))) != meet(top,complement(meet(top,meet(X_25,meet(top,X_25)))))
| meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))) = complement(join(zero,meet(top,meet(X_25,meet(top,X_25))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))))),bind(Y,$fot(meet(top,complement(meet(top,meet(X_25,meet(top,X_25))))))),bind(Z,$fot(complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))))]]) ).
cnf(refute_0_520,plain,
( meet(top,complement(meet(top,meet(X_25,meet(top,X_25))))) != complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))
| meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))) = complement(join(zero,meet(top,meet(X_25,meet(top,X_25))))) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))),meet(top,complement(meet(top,meet(X_25,meet(top,X_25)))))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))) = complement(join(zero,meet(top,meet(X_25,meet(top,X_25))))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,meet(X_25,meet(top,X_25))))),complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))) )],[refute_0_505,refute_0_520]) ).
cnf(refute_0_522,plain,
complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) = complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))))]]) ).
cnf(refute_0_523,plain,
( complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) != complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))))
| meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))) != complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))
| complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) = complement(complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))),complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))))) ),[1,0],$fot(complement(join(zero,meet(top,meet(X_25,meet(top,X_25))))))]]) ).
cnf(refute_0_524,plain,
( meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))) != complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))
| complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) = complement(complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))),complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) = complement(complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))),complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))) )],[refute_0_521,refute_0_524]) ).
cnf(refute_0_526,plain,
( complement(complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))) != meet(top,meet(X_25,meet(top,X_25)))
| complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) != complement(complement(join(zero,meet(top,meet(X_25,meet(top,X_25))))))
| complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) = meet(top,meet(X_25,meet(top,X_25))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))))),bind(Y,$fot(complement(complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))))),bind(Z,$fot(meet(top,meet(X_25,meet(top,X_25)))))]]) ).
cnf(refute_0_527,plain,
( complement(complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))) != meet(top,meet(X_25,meet(top,X_25)))
| complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) = meet(top,meet(X_25,meet(top,X_25))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))),complement(complement(join(zero,meet(top,meet(X_25,meet(top,X_25))))))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) = meet(top,meet(X_25,meet(top,X_25))),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,meet(X_25,meet(top,X_25)))))),meet(top,meet(X_25,meet(top,X_25)))) )],[refute_0_504,refute_0_527]) ).
cnf(refute_0_529,plain,
join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))) = complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))),
inference(subst,[],[refute_0_381:[bind(B,$fot(join(zero,join(complement(X_25),complement(meet(top,X_25))))))]]) ).
cnf(refute_0_530,plain,
( complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) != meet(top,meet(X_25,meet(top,X_25)))
| join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))) != complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))))
| join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))) = meet(top,meet(X_25,meet(top,X_25))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))))),bind(Y,$fot(complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))))),bind(Z,$fot(meet(top,meet(X_25,meet(top,X_25)))))]]) ).
cnf(refute_0_531,plain,
( complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))) != meet(top,meet(X_25,meet(top,X_25)))
| join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))) = meet(top,meet(X_25,meet(top,X_25))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))),complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25))))))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))) = meet(top,meet(X_25,meet(top,X_25))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(zero,join(complement(X_25),complement(meet(top,X_25)))))),meet(top,meet(X_25,meet(top,X_25)))) )],[refute_0_528,refute_0_531]) ).
cnf(refute_0_533,plain,
( join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))) != meet(top,meet(X_25,meet(top,X_25)))
| meet(top,X_25) != join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25))))))
| meet(top,X_25) = meet(top,meet(X_25,meet(top,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_25),join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25))))))) ),[1],$fot(meet(top,meet(X_25,meet(top,X_25))))]]) ).
cnf(refute_0_534,plain,
( meet(top,X_25) != join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25))))))
| meet(top,X_25) = meet(top,meet(X_25,meet(top,X_25))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25)))))),meet(top,meet(X_25,meet(top,X_25)))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
meet(top,X_25) = meet(top,meet(X_25,meet(top,X_25))),
inference(resolve,[$cnf( $equal(meet(top,X_25),join(zero,complement(join(zero,join(complement(X_25),complement(meet(top,X_25))))))) )],[refute_0_417,refute_0_534]) ).
cnf(refute_0_536,plain,
join(zero,X_45) = join(meet(join(zero,X_45),meet(X_45,top)),complement(join(meet(X_45,top),complement(join(zero,X_45))))),
inference(subst,[],[refute_0_391:[bind(X_41,$fot(join(zero,X_45))),bind(X_42,$fot(meet(X_45,top)))]]) ).
cnf(refute_0_537,plain,
top = join(meet(top,X_42),complement(join(complement(top),X_42))),
inference(subst,[],[refute_0_169:[bind(A,$fot(top)),bind(B,$fot(X_42))]]) ).
cnf(refute_0_538,plain,
( complement(top) != zero
| top != join(meet(top,X_42),complement(join(complement(top),X_42)))
| top = join(meet(top,X_42),complement(join(zero,X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_42),complement(join(complement(top),X_42)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_539,plain,
( top != join(meet(top,X_42),complement(join(complement(top),X_42)))
| top = join(meet(top,X_42),complement(join(zero,X_42))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_538]) ).
cnf(refute_0_540,plain,
top = join(meet(top,X_42),complement(join(zero,X_42))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_42),complement(join(complement(top),X_42)))) )],[refute_0_537,refute_0_539]) ).
cnf(refute_0_541,plain,
top = join(meet(top,X_45),complement(join(zero,X_45))),
inference(subst,[],[refute_0_540:[bind(X_42,$fot(X_45))]]) ).
cnf(refute_0_542,plain,
meet(X_45,top) = meet(top,X_45),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(X_45)),bind(X_16,$fot(top))]]) ).
cnf(refute_0_543,plain,
( meet(X_45,top) != meet(top,X_45)
| meet(top,X_45) = meet(X_45,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_45,top))),bind(Y,$fot(meet(top,X_45)))]]) ).
cnf(refute_0_544,plain,
meet(top,X_45) = meet(X_45,top),
inference(resolve,[$cnf( $equal(meet(X_45,top),meet(top,X_45)) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
( meet(top,X_45) != meet(X_45,top)
| top != join(meet(top,X_45),complement(join(zero,X_45)))
| top = join(meet(X_45,top),complement(join(zero,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_45),complement(join(zero,X_45)))) ),[1,0],$fot(meet(X_45,top))]]) ).
cnf(refute_0_546,plain,
( top != join(meet(top,X_45),complement(join(zero,X_45)))
| top = join(meet(X_45,top),complement(join(zero,X_45))) ),
inference(resolve,[$cnf( $equal(meet(top,X_45),meet(X_45,top)) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
top = join(meet(X_45,top),complement(join(zero,X_45))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_45),complement(join(zero,X_45)))) )],[refute_0_541,refute_0_546]) ).
cnf(refute_0_548,plain,
( top != join(meet(X_45,top),complement(join(zero,X_45)))
| join(meet(X_45,top),complement(join(zero,X_45))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(meet(X_45,top),complement(join(zero,X_45)))))]]) ).
cnf(refute_0_549,plain,
join(meet(X_45,top),complement(join(zero,X_45))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(X_45,top),complement(join(zero,X_45)))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
( join(meet(X_45,top),complement(join(zero,X_45))) != top
| join(zero,X_45) != join(meet(join(zero,X_45),meet(X_45,top)),complement(join(meet(X_45,top),complement(join(zero,X_45)))))
| join(zero,X_45) = join(meet(join(zero,X_45),meet(X_45,top)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,X_45),join(meet(join(zero,X_45),meet(X_45,top)),complement(join(meet(X_45,top),complement(join(zero,X_45)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_551,plain,
( join(zero,X_45) != join(meet(join(zero,X_45),meet(X_45,top)),complement(join(meet(X_45,top),complement(join(zero,X_45)))))
| join(zero,X_45) = join(meet(join(zero,X_45),meet(X_45,top)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_45,top),complement(join(zero,X_45))),top) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
join(zero,X_45) = join(meet(join(zero,X_45),meet(X_45,top)),complement(top)),
inference(resolve,[$cnf( $equal(join(zero,X_45),join(meet(join(zero,X_45),meet(X_45,top)),complement(join(meet(X_45,top),complement(join(zero,X_45)))))) )],[refute_0_536,refute_0_551]) ).
cnf(refute_0_553,plain,
join(complement(top),meet(join(zero,X_45),meet(X_45,top))) = join(complement(top),meet(join(zero,X_45),meet(X_45,top))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(zero,X_45),meet(X_45,top))))]]) ).
cnf(refute_0_554,plain,
( complement(top) != zero
| join(complement(top),meet(join(zero,X_45),meet(X_45,top))) != join(complement(top),meet(join(zero,X_45),meet(X_45,top)))
| join(complement(top),meet(join(zero,X_45),meet(X_45,top))) = join(zero,meet(join(zero,X_45),meet(X_45,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(zero,X_45),meet(X_45,top))),join(complement(top),meet(join(zero,X_45),meet(X_45,top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_555,plain,
( complement(top) != zero
| join(complement(top),meet(join(zero,X_45),meet(X_45,top))) = join(zero,meet(join(zero,X_45),meet(X_45,top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(zero,X_45),meet(X_45,top))),join(complement(top),meet(join(zero,X_45),meet(X_45,top)))) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
join(complement(top),meet(join(zero,X_45),meet(X_45,top))) = join(zero,meet(join(zero,X_45),meet(X_45,top))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_555]) ).
cnf(refute_0_557,plain,
join(meet(join(zero,X_45),meet(X_45,top)),complement(top)) = join(complement(top),meet(join(zero,X_45),meet(X_45,top))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(top))),bind(B,$fot(meet(join(zero,X_45),meet(X_45,top))))]]) ).
cnf(refute_0_558,plain,
( join(complement(top),meet(join(zero,X_45),meet(X_45,top))) != join(zero,meet(join(zero,X_45),meet(X_45,top)))
| join(meet(join(zero,X_45),meet(X_45,top)),complement(top)) != join(complement(top),meet(join(zero,X_45),meet(X_45,top)))
| join(meet(join(zero,X_45),meet(X_45,top)),complement(top)) = join(zero,meet(join(zero,X_45),meet(X_45,top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(join(zero,X_45),meet(X_45,top)),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(zero,X_45),meet(X_45,top))))),bind(Z,$fot(join(zero,meet(join(zero,X_45),meet(X_45,top)))))]]) ).
cnf(refute_0_559,plain,
( join(complement(top),meet(join(zero,X_45),meet(X_45,top))) != join(zero,meet(join(zero,X_45),meet(X_45,top)))
| join(meet(join(zero,X_45),meet(X_45,top)),complement(top)) = join(zero,meet(join(zero,X_45),meet(X_45,top))) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,X_45),meet(X_45,top)),complement(top)),join(complement(top),meet(join(zero,X_45),meet(X_45,top)))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
join(meet(join(zero,X_45),meet(X_45,top)),complement(top)) = join(zero,meet(join(zero,X_45),meet(X_45,top))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(zero,X_45),meet(X_45,top))),join(zero,meet(join(zero,X_45),meet(X_45,top)))) )],[refute_0_556,refute_0_559]) ).
cnf(refute_0_561,plain,
( join(meet(join(zero,X_45),meet(X_45,top)),complement(top)) != join(zero,meet(join(zero,X_45),meet(X_45,top)))
| join(zero,X_45) != join(meet(join(zero,X_45),meet(X_45,top)),complement(top))
| join(zero,X_45) = join(zero,meet(join(zero,X_45),meet(X_45,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,X_45),join(meet(join(zero,X_45),meet(X_45,top)),complement(top))) ),[1],$fot(join(zero,meet(join(zero,X_45),meet(X_45,top))))]]) ).
cnf(refute_0_562,plain,
( join(zero,X_45) != join(meet(join(zero,X_45),meet(X_45,top)),complement(top))
| join(zero,X_45) = join(zero,meet(join(zero,X_45),meet(X_45,top))) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,X_45),meet(X_45,top)),complement(top)),join(zero,meet(join(zero,X_45),meet(X_45,top)))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
join(zero,X_45) = join(zero,meet(join(zero,X_45),meet(X_45,top))),
inference(resolve,[$cnf( $equal(join(zero,X_45),join(meet(join(zero,X_45),meet(X_45,top)),complement(top))) )],[refute_0_552,refute_0_562]) ).
cnf(refute_0_564,plain,
X_41 = join(meet(X_41,join(zero,meet(X_41,top))),complement(join(complement(X_41),join(zero,meet(X_41,top))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_41)),bind(B,$fot(join(zero,meet(X_41,top))))]]) ).
cnf(refute_0_565,plain,
top = join(join(complement(X_15),complement(X_16)),complement(join(complement(X_15),complement(X_16)))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(complement(X_15),complement(X_16))))]]) ).
cnf(refute_0_566,plain,
( complement(join(complement(X_15),complement(X_16))) != meet(X_15,X_16)
| top != join(join(complement(X_15),complement(X_16)),complement(join(complement(X_15),complement(X_16))))
| top = join(join(complement(X_15),complement(X_16)),meet(X_15,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_15),complement(X_16)),complement(join(complement(X_15),complement(X_16))))) ),[1,1],$fot(meet(X_15,X_16))]]) ).
cnf(refute_0_567,plain,
( top != join(join(complement(X_15),complement(X_16)),complement(join(complement(X_15),complement(X_16))))
| top = join(join(complement(X_15),complement(X_16)),meet(X_15,X_16)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_15),complement(X_16))),meet(X_15,X_16)) )],[refute_0_243,refute_0_566]) ).
cnf(refute_0_568,plain,
top = join(join(complement(X_15),complement(X_16)),meet(X_15,X_16)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_15),complement(X_16)),complement(join(complement(X_15),complement(X_16))))) )],[refute_0_565,refute_0_567]) ).
cnf(refute_0_569,plain,
join(join(complement(X_15),complement(X_16)),meet(X_15,X_16)) = join(complement(X_15),join(complement(X_16),meet(X_15,X_16))),
inference(subst,[],[refute_0_147:[bind(A,$fot(complement(X_15))),bind(B,$fot(complement(X_16))),bind(C,$fot(meet(X_15,X_16)))]]) ).
cnf(refute_0_570,plain,
( join(join(complement(X_15),complement(X_16)),meet(X_15,X_16)) != join(complement(X_15),join(complement(X_16),meet(X_15,X_16)))
| top != join(join(complement(X_15),complement(X_16)),meet(X_15,X_16))
| top = join(complement(X_15),join(complement(X_16),meet(X_15,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_15),complement(X_16)),meet(X_15,X_16))) ),[1],$fot(join(complement(X_15),join(complement(X_16),meet(X_15,X_16))))]]) ).
cnf(refute_0_571,plain,
( top != join(join(complement(X_15),complement(X_16)),meet(X_15,X_16))
| top = join(complement(X_15),join(complement(X_16),meet(X_15,X_16))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_15),complement(X_16)),meet(X_15,X_16)),join(complement(X_15),join(complement(X_16),meet(X_15,X_16)))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
top = join(complement(X_15),join(complement(X_16),meet(X_15,X_16))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_15),complement(X_16)),meet(X_15,X_16))) )],[refute_0_568,refute_0_571]) ).
cnf(refute_0_573,plain,
top = join(complement(X_19),join(complement(top),meet(X_19,top))),
inference(subst,[],[refute_0_572:[bind(X_15,$fot(X_19)),bind(X_16,$fot(top))]]) ).
cnf(refute_0_574,plain,
( complement(top) != zero
| top != join(complement(X_19),join(complement(top),meet(X_19,top)))
| top = join(complement(X_19),join(zero,meet(X_19,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_19),join(complement(top),meet(X_19,top)))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_575,plain,
( top != join(complement(X_19),join(complement(top),meet(X_19,top)))
| top = join(complement(X_19),join(zero,meet(X_19,top))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_574]) ).
cnf(refute_0_576,plain,
top = join(complement(X_19),join(zero,meet(X_19,top))),
inference(resolve,[$cnf( $equal(top,join(complement(X_19),join(complement(top),meet(X_19,top)))) )],[refute_0_573,refute_0_575]) ).
cnf(refute_0_577,plain,
top = join(complement(X_41),join(zero,meet(X_41,top))),
inference(subst,[],[refute_0_576:[bind(X_19,$fot(X_41))]]) ).
cnf(refute_0_578,plain,
( top != join(complement(X_41),join(zero,meet(X_41,top)))
| join(complement(X_41),join(zero,meet(X_41,top))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_41),join(zero,meet(X_41,top)))))]]) ).
cnf(refute_0_579,plain,
join(complement(X_41),join(zero,meet(X_41,top))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_41),join(zero,meet(X_41,top)))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
( X_41 != join(meet(X_41,join(zero,meet(X_41,top))),complement(join(complement(X_41),join(zero,meet(X_41,top)))))
| join(complement(X_41),join(zero,meet(X_41,top))) != top
| X_41 = join(meet(X_41,join(zero,meet(X_41,top))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,join(zero,meet(X_41,top))),complement(join(complement(X_41),join(zero,meet(X_41,top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_581,plain,
( X_41 != join(meet(X_41,join(zero,meet(X_41,top))),complement(join(complement(X_41),join(zero,meet(X_41,top)))))
| X_41 = join(meet(X_41,join(zero,meet(X_41,top))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),join(zero,meet(X_41,top))),top) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
X_41 = join(meet(X_41,join(zero,meet(X_41,top))),complement(top)),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,join(zero,meet(X_41,top))),complement(join(complement(X_41),join(zero,meet(X_41,top)))))) )],[refute_0_564,refute_0_581]) ).
cnf(refute_0_583,plain,
join(complement(top),meet(X_41,join(zero,meet(X_41,top)))) = join(complement(top),meet(X_41,join(zero,meet(X_41,top)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_41,join(zero,meet(X_41,top)))))]]) ).
cnf(refute_0_584,plain,
( complement(top) != zero
| join(complement(top),meet(X_41,join(zero,meet(X_41,top)))) != join(complement(top),meet(X_41,join(zero,meet(X_41,top))))
| join(complement(top),meet(X_41,join(zero,meet(X_41,top)))) = join(zero,meet(X_41,join(zero,meet(X_41,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_41,join(zero,meet(X_41,top)))),join(complement(top),meet(X_41,join(zero,meet(X_41,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_585,plain,
( complement(top) != zero
| join(complement(top),meet(X_41,join(zero,meet(X_41,top)))) = join(zero,meet(X_41,join(zero,meet(X_41,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_41,join(zero,meet(X_41,top)))),join(complement(top),meet(X_41,join(zero,meet(X_41,top))))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
join(complement(top),meet(X_41,join(zero,meet(X_41,top)))) = join(zero,meet(X_41,join(zero,meet(X_41,top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_585]) ).
cnf(refute_0_587,plain,
join(meet(X_41,join(zero,meet(X_41,top))),complement(top)) = join(complement(top),meet(X_41,join(zero,meet(X_41,top)))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_41,join(zero,meet(X_41,top)))))]]) ).
cnf(refute_0_588,plain,
( join(complement(top),meet(X_41,join(zero,meet(X_41,top)))) != join(zero,meet(X_41,join(zero,meet(X_41,top))))
| join(meet(X_41,join(zero,meet(X_41,top))),complement(top)) != join(complement(top),meet(X_41,join(zero,meet(X_41,top))))
| join(meet(X_41,join(zero,meet(X_41,top))),complement(top)) = join(zero,meet(X_41,join(zero,meet(X_41,top)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_41,join(zero,meet(X_41,top))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_41,join(zero,meet(X_41,top)))))),bind(Z,$fot(join(zero,meet(X_41,join(zero,meet(X_41,top))))))]]) ).
cnf(refute_0_589,plain,
( join(complement(top),meet(X_41,join(zero,meet(X_41,top)))) != join(zero,meet(X_41,join(zero,meet(X_41,top))))
| join(meet(X_41,join(zero,meet(X_41,top))),complement(top)) = join(zero,meet(X_41,join(zero,meet(X_41,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,join(zero,meet(X_41,top))),complement(top)),join(complement(top),meet(X_41,join(zero,meet(X_41,top))))) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
join(meet(X_41,join(zero,meet(X_41,top))),complement(top)) = join(zero,meet(X_41,join(zero,meet(X_41,top)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_41,join(zero,meet(X_41,top)))),join(zero,meet(X_41,join(zero,meet(X_41,top))))) )],[refute_0_586,refute_0_589]) ).
cnf(refute_0_591,plain,
( X_41 != join(meet(X_41,join(zero,meet(X_41,top))),complement(top))
| join(meet(X_41,join(zero,meet(X_41,top))),complement(top)) != join(zero,meet(X_41,join(zero,meet(X_41,top))))
| X_41 = join(zero,meet(X_41,join(zero,meet(X_41,top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,join(zero,meet(X_41,join(zero,meet(X_41,top))))) ),[0],$fot(join(meet(X_41,join(zero,meet(X_41,top))),complement(top)))]]) ).
cnf(refute_0_592,plain,
( X_41 != join(meet(X_41,join(zero,meet(X_41,top))),complement(top))
| X_41 = join(zero,meet(X_41,join(zero,meet(X_41,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,join(zero,meet(X_41,top))),complement(top)),join(zero,meet(X_41,join(zero,meet(X_41,top))))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
X_41 = join(zero,meet(X_41,join(zero,meet(X_41,top)))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,join(zero,meet(X_41,top))),complement(top))) )],[refute_0_582,refute_0_592]) ).
cnf(refute_0_594,plain,
X_41 = join(meet(meet(X_41,top),X_41),complement(join(complement(X_41),meet(X_41,top)))),
inference(subst,[],[refute_0_214:[bind(X_42,$fot(meet(X_41,top)))]]) ).
cnf(refute_0_595,plain,
X_47 = join(zero,meet(X_47,join(zero,meet(X_47,top)))),
inference(subst,[],[refute_0_593:[bind(X_41,$fot(X_47))]]) ).
cnf(refute_0_596,plain,
meet(top,X_47) = meet(X_47,top),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(top)),bind(X_16,$fot(X_47))]]) ).
cnf(refute_0_597,plain,
( meet(top,X_47) != meet(X_47,top)
| meet(X_47,top) = meet(top,X_47) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(top,X_47))),bind(Y,$fot(meet(X_47,top)))]]) ).
cnf(refute_0_598,plain,
meet(X_47,top) = meet(top,X_47),
inference(resolve,[$cnf( $equal(meet(top,X_47),meet(X_47,top)) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
( X_47 != join(zero,meet(X_47,join(zero,meet(X_47,top))))
| meet(X_47,top) != meet(top,X_47)
| X_47 = join(zero,meet(X_47,join(zero,meet(top,X_47)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_47,join(zero,meet(X_47,join(zero,meet(X_47,top))))) ),[1,1,1,1],$fot(meet(top,X_47))]]) ).
cnf(refute_0_600,plain,
( X_47 != join(zero,meet(X_47,join(zero,meet(X_47,top))))
| X_47 = join(zero,meet(X_47,join(zero,meet(top,X_47)))) ),
inference(resolve,[$cnf( $equal(meet(X_47,top),meet(top,X_47)) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
X_47 = join(zero,meet(X_47,join(zero,meet(top,X_47)))),
inference(resolve,[$cnf( $equal(X_47,join(zero,meet(X_47,join(zero,meet(X_47,top))))) )],[refute_0_595,refute_0_600]) ).
cnf(refute_0_602,plain,
join(complement(X_87),meet(X_87,top)) = join(zero,meet(join(complement(X_87),meet(X_87,top)),join(zero,meet(top,join(complement(X_87),meet(X_87,top)))))),
inference(subst,[],[refute_0_601:[bind(X_47,$fot(join(complement(X_87),meet(X_87,top))))]]) ).
cnf(refute_0_603,plain,
top = join(meet(top,join(complement(X_21),meet(X_21,top))),complement(join(zero,join(complement(X_21),meet(X_21,top))))),
inference(subst,[],[refute_0_540:[bind(X_42,$fot(join(complement(X_21),meet(X_21,top))))]]) ).
cnf(refute_0_604,plain,
top = join(complement(top),join(complement(X_20),meet(top,X_20))),
inference(subst,[],[refute_0_572:[bind(X_15,$fot(top)),bind(X_16,$fot(X_20))]]) ).
cnf(refute_0_605,plain,
( complement(top) != zero
| top != join(complement(top),join(complement(X_20),meet(top,X_20)))
| top = join(zero,join(complement(X_20),meet(top,X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(top),join(complement(X_20),meet(top,X_20)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_606,plain,
( top != join(complement(top),join(complement(X_20),meet(top,X_20)))
| top = join(zero,join(complement(X_20),meet(top,X_20))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_605]) ).
cnf(refute_0_607,plain,
top = join(zero,join(complement(X_20),meet(top,X_20))),
inference(resolve,[$cnf( $equal(top,join(complement(top),join(complement(X_20),meet(top,X_20)))) )],[refute_0_604,refute_0_606]) ).
cnf(refute_0_608,plain,
top = join(zero,join(complement(X_21),meet(top,X_21))),
inference(subst,[],[refute_0_607:[bind(X_20,$fot(X_21))]]) ).
cnf(refute_0_609,plain,
meet(X_21,top) = meet(top,X_21),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(X_21)),bind(X_16,$fot(top))]]) ).
cnf(refute_0_610,plain,
( meet(X_21,top) != meet(top,X_21)
| meet(top,X_21) = meet(X_21,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_21,top))),bind(Y,$fot(meet(top,X_21)))]]) ).
cnf(refute_0_611,plain,
meet(top,X_21) = meet(X_21,top),
inference(resolve,[$cnf( $equal(meet(X_21,top),meet(top,X_21)) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
( meet(top,X_21) != meet(X_21,top)
| top != join(zero,join(complement(X_21),meet(top,X_21)))
| top = join(zero,join(complement(X_21),meet(X_21,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(complement(X_21),meet(top,X_21)))) ),[1,1,1],$fot(meet(X_21,top))]]) ).
cnf(refute_0_613,plain,
( top != join(zero,join(complement(X_21),meet(top,X_21)))
| top = join(zero,join(complement(X_21),meet(X_21,top))) ),
inference(resolve,[$cnf( $equal(meet(top,X_21),meet(X_21,top)) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
top = join(zero,join(complement(X_21),meet(X_21,top))),
inference(resolve,[$cnf( $equal(top,join(zero,join(complement(X_21),meet(top,X_21)))) )],[refute_0_608,refute_0_613]) ).
cnf(refute_0_615,plain,
( top != join(zero,join(complement(X_21),meet(X_21,top)))
| join(zero,join(complement(X_21),meet(X_21,top))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(complement(X_21),meet(X_21,top)))))]]) ).
cnf(refute_0_616,plain,
join(zero,join(complement(X_21),meet(X_21,top))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,join(complement(X_21),meet(X_21,top)))) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
( join(zero,join(complement(X_21),meet(X_21,top))) != top
| top != join(meet(top,join(complement(X_21),meet(X_21,top))),complement(join(zero,join(complement(X_21),meet(X_21,top)))))
| top = join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(complement(X_21),meet(X_21,top))),complement(join(zero,join(complement(X_21),meet(X_21,top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_618,plain,
( top != join(meet(top,join(complement(X_21),meet(X_21,top))),complement(join(zero,join(complement(X_21),meet(X_21,top)))))
| top = join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_21),meet(X_21,top))),top) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
top = join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top)),
inference(resolve,[$cnf( $equal(top,join(meet(top,join(complement(X_21),meet(X_21,top))),complement(join(zero,join(complement(X_21),meet(X_21,top)))))) )],[refute_0_603,refute_0_618]) ).
cnf(refute_0_620,plain,
join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))) = join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))))]]) ).
cnf(refute_0_621,plain,
( complement(top) != zero
| join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))) != join(complement(top),meet(top,join(complement(X_21),meet(X_21,top))))
| join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))) = join(zero,meet(top,join(complement(X_21),meet(X_21,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))),join(complement(top),meet(top,join(complement(X_21),meet(X_21,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_622,plain,
( complement(top) != zero
| join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))) = join(zero,meet(top,join(complement(X_21),meet(X_21,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))),join(complement(top),meet(top,join(complement(X_21),meet(X_21,top))))) )],[refute_0_620,refute_0_621]) ).
cnf(refute_0_623,plain,
join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))) = join(zero,meet(top,join(complement(X_21),meet(X_21,top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_622]) ).
cnf(refute_0_624,plain,
join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top)) = join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(top))),bind(B,$fot(meet(top,join(complement(X_21),meet(X_21,top)))))]]) ).
cnf(refute_0_625,plain,
( join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))) != join(zero,meet(top,join(complement(X_21),meet(X_21,top))))
| join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top)) != join(complement(top),meet(top,join(complement(X_21),meet(X_21,top))))
| join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top)) = join(zero,meet(top,join(complement(X_21),meet(X_21,top)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top)))),bind(Y,$fot(join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))))),bind(Z,$fot(join(zero,meet(top,join(complement(X_21),meet(X_21,top))))))]]) ).
cnf(refute_0_626,plain,
( join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))) != join(zero,meet(top,join(complement(X_21),meet(X_21,top))))
| join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top)) = join(zero,meet(top,join(complement(X_21),meet(X_21,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top)),join(complement(top),meet(top,join(complement(X_21),meet(X_21,top))))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top)) = join(zero,meet(top,join(complement(X_21),meet(X_21,top)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,join(complement(X_21),meet(X_21,top)))),join(zero,meet(top,join(complement(X_21),meet(X_21,top))))) )],[refute_0_623,refute_0_626]) ).
cnf(refute_0_628,plain,
( join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top)) != join(zero,meet(top,join(complement(X_21),meet(X_21,top))))
| top != join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top))
| top = join(zero,meet(top,join(complement(X_21),meet(X_21,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top))) ),[1],$fot(join(zero,meet(top,join(complement(X_21),meet(X_21,top)))))]]) ).
cnf(refute_0_629,plain,
( top != join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top))
| top = join(zero,meet(top,join(complement(X_21),meet(X_21,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top)),join(zero,meet(top,join(complement(X_21),meet(X_21,top))))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
top = join(zero,meet(top,join(complement(X_21),meet(X_21,top)))),
inference(resolve,[$cnf( $equal(top,join(meet(top,join(complement(X_21),meet(X_21,top))),complement(top))) )],[refute_0_619,refute_0_629]) ).
cnf(refute_0_631,plain,
top = join(zero,meet(top,join(complement(X_87),meet(X_87,top)))),
inference(subst,[],[refute_0_630:[bind(X_21,$fot(X_87))]]) ).
cnf(refute_0_632,plain,
( top != join(zero,meet(top,join(complement(X_87),meet(X_87,top))))
| join(zero,meet(top,join(complement(X_87),meet(X_87,top)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,join(complement(X_87),meet(X_87,top))))))]]) ).
cnf(refute_0_633,plain,
join(zero,meet(top,join(complement(X_87),meet(X_87,top)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,join(complement(X_87),meet(X_87,top))))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
( join(complement(X_87),meet(X_87,top)) != join(zero,meet(join(complement(X_87),meet(X_87,top)),join(zero,meet(top,join(complement(X_87),meet(X_87,top))))))
| join(zero,meet(top,join(complement(X_87),meet(X_87,top)))) != top
| join(complement(X_87),meet(X_87,top)) = join(zero,meet(join(complement(X_87),meet(X_87,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_87),meet(X_87,top)),join(zero,meet(join(complement(X_87),meet(X_87,top)),join(zero,meet(top,join(complement(X_87),meet(X_87,top))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_635,plain,
( join(complement(X_87),meet(X_87,top)) != join(zero,meet(join(complement(X_87),meet(X_87,top)),join(zero,meet(top,join(complement(X_87),meet(X_87,top))))))
| join(complement(X_87),meet(X_87,top)) = join(zero,meet(join(complement(X_87),meet(X_87,top)),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(complement(X_87),meet(X_87,top)))),top) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
join(complement(X_87),meet(X_87,top)) = join(zero,meet(join(complement(X_87),meet(X_87,top)),top)),
inference(resolve,[$cnf( $equal(join(complement(X_87),meet(X_87,top)),join(zero,meet(join(complement(X_87),meet(X_87,top)),join(zero,meet(top,join(complement(X_87),meet(X_87,top))))))) )],[refute_0_602,refute_0_635]) ).
cnf(refute_0_637,plain,
meet(A,top) = complement(join(complement(A),complement(top))),
inference(subst,[],[maddux4_definiton_of_meet_4:[bind(B,$fot(top))]]) ).
cnf(refute_0_638,plain,
( complement(top) != zero
| meet(A,top) != complement(join(complement(A),complement(top)))
| meet(A,top) = complement(join(complement(A),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,top),complement(join(complement(A),complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_639,plain,
( meet(A,top) != complement(join(complement(A),complement(top)))
| meet(A,top) = complement(join(complement(A),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_638]) ).
cnf(refute_0_640,plain,
meet(A,top) = complement(join(complement(A),zero)),
inference(resolve,[$cnf( $equal(meet(A,top),complement(join(complement(A),complement(top)))) )],[refute_0_637,refute_0_639]) ).
cnf(refute_0_641,plain,
complement(join(zero,complement(A))) = meet(top,A),
inference(subst,[],[refute_0_284:[bind(B,$fot(A))]]) ).
cnf(refute_0_642,plain,
join(complement(A),zero) = join(zero,complement(A)),
inference(subst,[],[refute_0_53:[bind(A,$fot(zero)),bind(B,$fot(complement(A)))]]) ).
cnf(refute_0_643,plain,
complement(join(complement(A),zero)) = complement(join(complement(A),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(A),zero)))]]) ).
cnf(refute_0_644,plain,
( complement(join(complement(A),zero)) != complement(join(complement(A),zero))
| join(complement(A),zero) != join(zero,complement(A))
| complement(join(complement(A),zero)) = complement(join(zero,complement(A))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(A),zero)),complement(join(complement(A),zero))) ),[1,0],$fot(join(zero,complement(A)))]]) ).
cnf(refute_0_645,plain,
( join(complement(A),zero) != join(zero,complement(A))
| complement(join(complement(A),zero)) = complement(join(zero,complement(A))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),zero)),complement(join(complement(A),zero))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
complement(join(complement(A),zero)) = complement(join(zero,complement(A))),
inference(resolve,[$cnf( $equal(join(complement(A),zero),join(zero,complement(A))) )],[refute_0_642,refute_0_645]) ).
cnf(refute_0_647,plain,
( complement(join(complement(A),zero)) != complement(join(zero,complement(A)))
| complement(join(zero,complement(A))) != meet(top,A)
| complement(join(complement(A),zero)) = meet(top,A) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(join(complement(A),zero)))),bind(Y,$fot(complement(join(zero,complement(A))))),bind(Z,$fot(meet(top,A)))]]) ).
cnf(refute_0_648,plain,
( complement(join(zero,complement(A))) != meet(top,A)
| complement(join(complement(A),zero)) = meet(top,A) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),zero)),complement(join(zero,complement(A)))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
complement(join(complement(A),zero)) = meet(top,A),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(A))),meet(top,A)) )],[refute_0_641,refute_0_648]) ).
cnf(refute_0_650,plain,
( complement(join(complement(A),zero)) != meet(top,A)
| meet(A,top) != complement(join(complement(A),zero))
| meet(A,top) = meet(top,A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,top),complement(join(complement(A),zero))) ),[1],$fot(meet(top,A))]]) ).
cnf(refute_0_651,plain,
( meet(A,top) != complement(join(complement(A),zero))
| meet(A,top) = meet(top,A) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),zero)),meet(top,A)) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
meet(A,top) = meet(top,A),
inference(resolve,[$cnf( $equal(meet(A,top),complement(join(complement(A),zero))) )],[refute_0_640,refute_0_651]) ).
cnf(refute_0_653,plain,
meet(join(complement(X_87),meet(X_87,top)),top) = meet(top,join(complement(X_87),meet(X_87,top))),
inference(subst,[],[refute_0_652:[bind(A,$fot(join(complement(X_87),meet(X_87,top))))]]) ).
cnf(refute_0_654,plain,
join(zero,meet(join(complement(X_87),meet(X_87,top)),top)) = join(zero,meet(join(complement(X_87),meet(X_87,top)),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X_87),meet(X_87,top)),top)))]]) ).
cnf(refute_0_655,plain,
( join(zero,meet(join(complement(X_87),meet(X_87,top)),top)) != join(zero,meet(join(complement(X_87),meet(X_87,top)),top))
| meet(join(complement(X_87),meet(X_87,top)),top) != meet(top,join(complement(X_87),meet(X_87,top)))
| join(zero,meet(join(complement(X_87),meet(X_87,top)),top)) = join(zero,meet(top,join(complement(X_87),meet(X_87,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(X_87),meet(X_87,top)),top)),join(zero,meet(join(complement(X_87),meet(X_87,top)),top))) ),[1,1],$fot(meet(top,join(complement(X_87),meet(X_87,top))))]]) ).
cnf(refute_0_656,plain,
( meet(join(complement(X_87),meet(X_87,top)),top) != meet(top,join(complement(X_87),meet(X_87,top)))
| join(zero,meet(join(complement(X_87),meet(X_87,top)),top)) = join(zero,meet(top,join(complement(X_87),meet(X_87,top)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_87),meet(X_87,top)),top)),join(zero,meet(join(complement(X_87),meet(X_87,top)),top))) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
join(zero,meet(join(complement(X_87),meet(X_87,top)),top)) = join(zero,meet(top,join(complement(X_87),meet(X_87,top)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_87),meet(X_87,top)),top),meet(top,join(complement(X_87),meet(X_87,top)))) )],[refute_0_653,refute_0_656]) ).
cnf(refute_0_658,plain,
( join(zero,meet(join(complement(X_87),meet(X_87,top)),top)) != join(zero,meet(top,join(complement(X_87),meet(X_87,top))))
| join(zero,meet(top,join(complement(X_87),meet(X_87,top)))) != top
| join(zero,meet(join(complement(X_87),meet(X_87,top)),top)) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,meet(join(complement(X_87),meet(X_87,top)),top)))),bind(Y,$fot(join(zero,meet(top,join(complement(X_87),meet(X_87,top)))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_659,plain,
( join(zero,meet(top,join(complement(X_87),meet(X_87,top)))) != top
| join(zero,meet(join(complement(X_87),meet(X_87,top)),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_87),meet(X_87,top)),top)),join(zero,meet(top,join(complement(X_87),meet(X_87,top))))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
join(zero,meet(join(complement(X_87),meet(X_87,top)),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(complement(X_87),meet(X_87,top)))),top) )],[refute_0_633,refute_0_659]) ).
cnf(refute_0_661,plain,
( join(complement(X_87),meet(X_87,top)) != join(zero,meet(join(complement(X_87),meet(X_87,top)),top))
| join(zero,meet(join(complement(X_87),meet(X_87,top)),top)) != top
| join(complement(X_87),meet(X_87,top)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_87),meet(X_87,top)),top) ),[0],$fot(join(zero,meet(join(complement(X_87),meet(X_87,top)),top)))]]) ).
cnf(refute_0_662,plain,
( join(complement(X_87),meet(X_87,top)) != join(zero,meet(join(complement(X_87),meet(X_87,top)),top))
| join(complement(X_87),meet(X_87,top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_87),meet(X_87,top)),top)),top) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
join(complement(X_87),meet(X_87,top)) = top,
inference(resolve,[$cnf( $equal(join(complement(X_87),meet(X_87,top)),join(zero,meet(join(complement(X_87),meet(X_87,top)),top))) )],[refute_0_636,refute_0_662]) ).
cnf(refute_0_664,plain,
join(complement(X_41),meet(X_41,top)) = top,
inference(subst,[],[refute_0_663:[bind(X_87,$fot(X_41))]]) ).
cnf(refute_0_665,plain,
( X_41 != join(meet(meet(X_41,top),X_41),complement(join(complement(X_41),meet(X_41,top))))
| join(complement(X_41),meet(X_41,top)) != top
| X_41 = join(meet(meet(X_41,top),X_41),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(meet(X_41,top),X_41),complement(join(complement(X_41),meet(X_41,top))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_666,plain,
( X_41 != join(meet(meet(X_41,top),X_41),complement(join(complement(X_41),meet(X_41,top))))
| X_41 = join(meet(meet(X_41,top),X_41),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),meet(X_41,top)),top) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
X_41 = join(meet(meet(X_41,top),X_41),complement(top)),
inference(resolve,[$cnf( $equal(X_41,join(meet(meet(X_41,top),X_41),complement(join(complement(X_41),meet(X_41,top))))) )],[refute_0_594,refute_0_666]) ).
cnf(refute_0_668,plain,
meet(X_42,top) = join(meet(meet(X_42,top),X_42),complement(join(X_42,complement(meet(X_42,top))))),
inference(subst,[],[refute_0_391:[bind(X_41,$fot(meet(X_42,top)))]]) ).
cnf(refute_0_669,plain,
converse(join(converse(A),converse(join(zero,complement(converse(converse(A))))))) = join(A,converse(converse(join(zero,complement(converse(converse(A))))))),
inference(subst,[],[refute_0_93:[bind(X_5,$fot(converse(join(zero,complement(converse(converse(A)))))))]]) ).
cnf(refute_0_670,plain,
converse(join(converse(X_8),complement(converse(X_8)))) = join(X_8,converse(complement(converse(X_8)))),
inference(subst,[],[refute_0_93:[bind(A,$fot(X_8)),bind(X_5,$fot(complement(converse(X_8))))]]) ).
cnf(refute_0_671,plain,
top = join(converse(X_8),complement(converse(X_8))),
inference(subst,[],[def_top_12:[bind(A,$fot(converse(X_8)))]]) ).
cnf(refute_0_672,plain,
( top != join(converse(X_8),complement(converse(X_8)))
| join(converse(X_8),complement(converse(X_8))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_8),complement(converse(X_8)))))]]) ).
cnf(refute_0_673,plain,
join(converse(X_8),complement(converse(X_8))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_8),complement(converse(X_8)))) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
( converse(join(converse(X_8),complement(converse(X_8)))) != join(X_8,converse(complement(converse(X_8))))
| join(converse(X_8),complement(converse(X_8))) != top
| converse(top) = join(X_8,converse(complement(converse(X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_8),complement(converse(X_8)))),join(X_8,converse(complement(converse(X_8))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_675,plain,
( converse(join(converse(X_8),complement(converse(X_8)))) != join(X_8,converse(complement(converse(X_8))))
| converse(top) = join(X_8,converse(complement(converse(X_8)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_8),complement(converse(X_8))),top) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
converse(top) = join(X_8,converse(complement(converse(X_8)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_8),complement(converse(X_8)))),join(X_8,converse(complement(converse(X_8))))) )],[refute_0_670,refute_0_675]) ).
cnf(refute_0_677,plain,
converse(top) = join(join(X_4,converse(A)),converse(complement(converse(join(X_4,converse(A)))))),
inference(subst,[],[refute_0_676:[bind(X_8,$fot(join(X_4,converse(A))))]]) ).
cnf(refute_0_678,plain,
( converse(join(X_4,converse(A))) != join(converse(X_4),A)
| converse(top) != join(join(X_4,converse(A)),converse(complement(converse(join(X_4,converse(A))))))
| converse(top) = join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_4,converse(A)),converse(complement(converse(join(X_4,converse(A))))))) ),[1,1,0,0],$fot(join(converse(X_4),A))]]) ).
cnf(refute_0_679,plain,
( converse(top) != join(join(X_4,converse(A)),converse(complement(converse(join(X_4,converse(A))))))
| converse(top) = join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(A))),join(converse(X_4),A)) )],[refute_0_128,refute_0_678]) ).
cnf(refute_0_680,plain,
converse(top) = join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_4,converse(A)),converse(complement(converse(join(X_4,converse(A))))))) )],[refute_0_677,refute_0_679]) ).
cnf(refute_0_681,plain,
( converse(join(A,B)) != join(converse(A),converse(B))
| join(converse(A),converse(B)) = converse(join(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(A,B)))),bind(Y,$fot(join(converse(A),converse(B))))]]) ).
cnf(refute_0_682,plain,
join(converse(A),converse(B)) = converse(join(A,B)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),join(converse(A),converse(B))) )],[converse_additivity_9,refute_0_681]) ).
cnf(refute_0_683,plain,
join(converse(A),converse(complement(join(converse(X_4),A)))) = converse(join(A,complement(join(converse(X_4),A)))),
inference(subst,[],[refute_0_682:[bind(B,$fot(complement(join(converse(X_4),A))))]]) ).
cnf(refute_0_684,plain,
join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))) = join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))),
introduced(tautology,[refl,[$fot(join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))))]]) ).
cnf(refute_0_685,plain,
( join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))) != join(X_4,join(converse(A),converse(complement(join(converse(X_4),A)))))
| join(converse(A),converse(complement(join(converse(X_4),A)))) != converse(join(A,complement(join(converse(X_4),A))))
| join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))) = join(X_4,converse(join(A,complement(join(converse(X_4),A))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))),join(X_4,join(converse(A),converse(complement(join(converse(X_4),A)))))) ),[1,1],$fot(converse(join(A,complement(join(converse(X_4),A)))))]]) ).
cnf(refute_0_686,plain,
( join(converse(A),converse(complement(join(converse(X_4),A)))) != converse(join(A,complement(join(converse(X_4),A))))
| join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))) = join(X_4,converse(join(A,complement(join(converse(X_4),A))))) ),
inference(resolve,[$cnf( $equal(join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))),join(X_4,join(converse(A),converse(complement(join(converse(X_4),A)))))) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))) = join(X_4,converse(join(A,complement(join(converse(X_4),A))))),
inference(resolve,[$cnf( $equal(join(converse(A),converse(complement(join(converse(X_4),A)))),converse(join(A,complement(join(converse(X_4),A))))) )],[refute_0_683,refute_0_686]) ).
cnf(refute_0_688,plain,
join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))) = join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_4)),bind(B,$fot(converse(A))),bind(C,$fot(converse(complement(join(converse(X_4),A)))))]]) ).
cnf(refute_0_689,plain,
( join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))) != join(X_4,converse(join(A,complement(join(converse(X_4),A)))))
| join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))) != join(X_4,join(converse(A),converse(complement(join(converse(X_4),A)))))
| join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))) = join(X_4,converse(join(A,complement(join(converse(X_4),A))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))))),bind(Y,$fot(join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))))),bind(Z,$fot(join(X_4,converse(join(A,complement(join(converse(X_4),A)))))))]]) ).
cnf(refute_0_690,plain,
( join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))) != join(X_4,converse(join(A,complement(join(converse(X_4),A)))))
| join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))) = join(X_4,converse(join(A,complement(join(converse(X_4),A))))) ),
inference(resolve,[$cnf( $equal(join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))),join(X_4,join(converse(A),converse(complement(join(converse(X_4),A)))))) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))) = join(X_4,converse(join(A,complement(join(converse(X_4),A))))),
inference(resolve,[$cnf( $equal(join(X_4,join(converse(A),converse(complement(join(converse(X_4),A))))),join(X_4,converse(join(A,complement(join(converse(X_4),A)))))) )],[refute_0_687,refute_0_690]) ).
cnf(refute_0_692,plain,
( converse(top) != join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A))))
| join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))) != join(X_4,converse(join(A,complement(join(converse(X_4),A)))))
| converse(top) = join(X_4,converse(join(A,complement(join(converse(X_4),A))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_4,converse(join(A,complement(join(converse(X_4),A)))))) ),[0],$fot(join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))))]]) ).
cnf(refute_0_693,plain,
( converse(top) != join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A))))
| converse(top) = join(X_4,converse(join(A,complement(join(converse(X_4),A))))) ),
inference(resolve,[$cnf( $equal(join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A)))),join(X_4,converse(join(A,complement(join(converse(X_4),A)))))) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
converse(top) = join(X_4,converse(join(A,complement(join(converse(X_4),A))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_4,converse(A)),converse(complement(join(converse(X_4),A))))) )],[refute_0_680,refute_0_693]) ).
cnf(refute_0_695,plain,
converse(top) = join(X_30,converse(join(complement(converse(X_30)),complement(join(converse(X_30),complement(converse(X_30))))))),
inference(subst,[],[refute_0_694:[bind(A,$fot(complement(converse(X_30)))),bind(X_4,$fot(X_30))]]) ).
cnf(refute_0_696,plain,
top = join(converse(X_30),complement(converse(X_30))),
inference(subst,[],[def_top_12:[bind(A,$fot(converse(X_30)))]]) ).
cnf(refute_0_697,plain,
( top != join(converse(X_30),complement(converse(X_30)))
| join(converse(X_30),complement(converse(X_30))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_30),complement(converse(X_30)))))]]) ).
cnf(refute_0_698,plain,
join(converse(X_30),complement(converse(X_30))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_30),complement(converse(X_30)))) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
( converse(top) != join(X_30,converse(join(complement(converse(X_30)),complement(join(converse(X_30),complement(converse(X_30)))))))
| join(converse(X_30),complement(converse(X_30))) != top
| converse(top) = join(X_30,converse(join(complement(converse(X_30)),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_30,converse(join(complement(converse(X_30)),complement(join(converse(X_30),complement(converse(X_30)))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_700,plain,
( converse(top) != join(X_30,converse(join(complement(converse(X_30)),complement(join(converse(X_30),complement(converse(X_30)))))))
| converse(top) = join(X_30,converse(join(complement(converse(X_30)),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_30),complement(converse(X_30))),top) )],[refute_0_698,refute_0_699]) ).
cnf(refute_0_701,plain,
converse(top) = join(X_30,converse(join(complement(converse(X_30)),complement(top)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_30,converse(join(complement(converse(X_30)),complement(join(converse(X_30),complement(converse(X_30)))))))) )],[refute_0_695,refute_0_700]) ).
cnf(refute_0_702,plain,
join(complement(top),complement(converse(X_30))) = join(complement(top),complement(converse(X_30))),
introduced(tautology,[refl,[$fot(join(complement(top),complement(converse(X_30))))]]) ).
cnf(refute_0_703,plain,
( complement(top) != zero
| join(complement(top),complement(converse(X_30))) != join(complement(top),complement(converse(X_30)))
| join(complement(top),complement(converse(X_30))) = join(zero,complement(converse(X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(converse(X_30))),join(complement(top),complement(converse(X_30)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_704,plain,
( complement(top) != zero
| join(complement(top),complement(converse(X_30))) = join(zero,complement(converse(X_30))) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_30))),join(complement(top),complement(converse(X_30)))) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
join(complement(top),complement(converse(X_30))) = join(zero,complement(converse(X_30))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_704]) ).
cnf(refute_0_706,plain,
converse(join(complement(top),complement(converse(X_30)))) = converse(join(complement(top),complement(converse(X_30)))),
introduced(tautology,[refl,[$fot(converse(join(complement(top),complement(converse(X_30)))))]]) ).
cnf(refute_0_707,plain,
( converse(join(complement(top),complement(converse(X_30)))) != converse(join(complement(top),complement(converse(X_30))))
| join(complement(top),complement(converse(X_30))) != join(zero,complement(converse(X_30)))
| converse(join(complement(top),complement(converse(X_30)))) = converse(join(zero,complement(converse(X_30)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(top),complement(converse(X_30)))),converse(join(complement(top),complement(converse(X_30))))) ),[1,0],$fot(join(zero,complement(converse(X_30))))]]) ).
cnf(refute_0_708,plain,
( join(complement(top),complement(converse(X_30))) != join(zero,complement(converse(X_30)))
| converse(join(complement(top),complement(converse(X_30)))) = converse(join(zero,complement(converse(X_30)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_30)))),converse(join(complement(top),complement(converse(X_30))))) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
converse(join(complement(top),complement(converse(X_30)))) = converse(join(zero,complement(converse(X_30)))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_30))),join(zero,complement(converse(X_30)))) )],[refute_0_705,refute_0_708]) ).
cnf(refute_0_710,plain,
join(X_30,converse(join(complement(top),complement(converse(X_30))))) = join(X_30,converse(join(complement(top),complement(converse(X_30))))),
introduced(tautology,[refl,[$fot(join(X_30,converse(join(complement(top),complement(converse(X_30))))))]]) ).
cnf(refute_0_711,plain,
( converse(join(complement(top),complement(converse(X_30)))) != converse(join(zero,complement(converse(X_30))))
| join(X_30,converse(join(complement(top),complement(converse(X_30))))) != join(X_30,converse(join(complement(top),complement(converse(X_30)))))
| join(X_30,converse(join(complement(top),complement(converse(X_30))))) = join(X_30,converse(join(zero,complement(converse(X_30))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_30,converse(join(complement(top),complement(converse(X_30))))),join(X_30,converse(join(complement(top),complement(converse(X_30)))))) ),[1,1],$fot(converse(join(zero,complement(converse(X_30)))))]]) ).
cnf(refute_0_712,plain,
( converse(join(complement(top),complement(converse(X_30)))) != converse(join(zero,complement(converse(X_30))))
| join(X_30,converse(join(complement(top),complement(converse(X_30))))) = join(X_30,converse(join(zero,complement(converse(X_30))))) ),
inference(resolve,[$cnf( $equal(join(X_30,converse(join(complement(top),complement(converse(X_30))))),join(X_30,converse(join(complement(top),complement(converse(X_30)))))) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
join(X_30,converse(join(complement(top),complement(converse(X_30))))) = join(X_30,converse(join(zero,complement(converse(X_30))))),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_30)))),converse(join(zero,complement(converse(X_30))))) )],[refute_0_709,refute_0_712]) ).
cnf(refute_0_714,plain,
converse(join(converse(A),join(X_23,X_24))) = join(A,converse(join(X_23,X_24))),
inference(subst,[],[refute_0_93:[bind(X_5,$fot(join(X_23,X_24)))]]) ).
cnf(refute_0_715,plain,
join(converse(A),converse(B)) = join(converse(B),converse(A)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(converse(A))),bind(B,$fot(converse(B)))]]) ).
cnf(refute_0_716,plain,
( converse(join(A,B)) != join(converse(A),converse(B))
| join(converse(A),converse(B)) != join(converse(B),converse(A))
| converse(join(A,B)) = join(converse(B),converse(A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(A,B)),join(converse(B),converse(A))) ),[0],$fot(join(converse(A),converse(B)))]]) ).
cnf(refute_0_717,plain,
( converse(join(A,B)) != join(converse(A),converse(B))
| converse(join(A,B)) = join(converse(B),converse(A)) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(B)),join(converse(B),converse(A))) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
converse(join(A,B)) = join(converse(B),converse(A)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),join(converse(A),converse(B))) )],[converse_additivity_9,refute_0_717]) ).
cnf(refute_0_719,plain,
join(converse(B),converse(A)) = converse(join(B,A)),
inference(subst,[],[refute_0_682:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_720,plain,
( converse(join(A,B)) != join(converse(B),converse(A))
| join(converse(B),converse(A)) != converse(join(B,A))
| converse(join(A,B)) = converse(join(B,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(A,B)),converse(join(B,A))) ),[0],$fot(join(converse(B),converse(A)))]]) ).
cnf(refute_0_721,plain,
( converse(join(A,B)) != join(converse(B),converse(A))
| converse(join(A,B)) = converse(join(B,A)) ),
inference(resolve,[$cnf( $equal(join(converse(B),converse(A)),converse(join(B,A))) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
converse(join(A,B)) = converse(join(B,A)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),join(converse(B),converse(A))) )],[refute_0_718,refute_0_721]) ).
cnf(refute_0_723,plain,
converse(join(X_23,X_24)) = converse(join(X_24,X_23)),
inference(subst,[],[refute_0_722:[bind(A,$fot(X_23)),bind(B,$fot(X_24))]]) ).
cnf(refute_0_724,plain,
( converse(join(X_23,X_24)) != converse(join(X_24,X_23))
| converse(join(converse(A),join(X_23,X_24))) != join(A,converse(join(X_23,X_24)))
| converse(join(converse(A),join(X_23,X_24))) = join(A,converse(join(X_24,X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_23,X_24))),join(A,converse(join(X_23,X_24)))) ),[1,1],$fot(converse(join(X_24,X_23)))]]) ).
cnf(refute_0_725,plain,
( converse(join(converse(A),join(X_23,X_24))) != join(A,converse(join(X_23,X_24)))
| converse(join(converse(A),join(X_23,X_24))) = join(A,converse(join(X_24,X_23))) ),
inference(resolve,[$cnf( $equal(converse(join(X_23,X_24)),converse(join(X_24,X_23))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
converse(join(converse(A),join(X_23,X_24))) = join(A,converse(join(X_24,X_23))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_23,X_24))),join(A,converse(join(X_23,X_24)))) )],[refute_0_714,refute_0_725]) ).
cnf(refute_0_727,plain,
( converse(join(converse(A),join(X_23,X_24))) != join(A,converse(join(X_23,X_24)))
| converse(join(converse(A),join(X_23,X_24))) != join(A,converse(join(X_24,X_23)))
| join(A,converse(join(X_23,X_24))) = join(A,converse(join(X_24,X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(X_23,X_24))),join(A,converse(join(X_24,X_23)))) ),[0],$fot(join(A,converse(join(X_23,X_24))))]]) ).
cnf(refute_0_728,plain,
( converse(join(converse(A),join(X_23,X_24))) != join(A,converse(join(X_24,X_23)))
| join(A,converse(join(X_23,X_24))) = join(A,converse(join(X_24,X_23))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_23,X_24))),join(A,converse(join(X_23,X_24)))) )],[refute_0_714,refute_0_727]) ).
cnf(refute_0_729,plain,
join(A,converse(join(X_23,X_24))) = join(A,converse(join(X_24,X_23))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(X_23,X_24))),join(A,converse(join(X_24,X_23)))) )],[refute_0_726,refute_0_728]) ).
cnf(refute_0_730,plain,
( join(A,converse(join(X_23,X_24))) != join(A,converse(join(X_24,X_23)))
| join(A,converse(join(X_24,X_23))) = join(A,converse(join(X_23,X_24))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,converse(join(X_23,X_24))))),bind(Y,$fot(join(A,converse(join(X_24,X_23)))))]]) ).
cnf(refute_0_731,plain,
join(A,converse(join(X_24,X_23))) = join(A,converse(join(X_23,X_24))),
inference(resolve,[$cnf( $equal(join(A,converse(join(X_23,X_24))),join(A,converse(join(X_24,X_23)))) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
join(X_30,converse(join(complement(converse(X_30)),complement(top)))) = join(X_30,converse(join(complement(top),complement(converse(X_30))))),
inference(subst,[],[refute_0_731:[bind(A,$fot(X_30)),bind(X_23,$fot(complement(top))),bind(X_24,$fot(complement(converse(X_30))))]]) ).
cnf(refute_0_733,plain,
( join(X_30,converse(join(complement(converse(X_30)),complement(top)))) != join(X_30,converse(join(complement(top),complement(converse(X_30)))))
| join(X_30,converse(join(complement(top),complement(converse(X_30))))) != join(X_30,converse(join(zero,complement(converse(X_30)))))
| join(X_30,converse(join(complement(converse(X_30)),complement(top)))) = join(X_30,converse(join(zero,complement(converse(X_30))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(X_30,converse(join(complement(converse(X_30)),complement(top)))))),bind(Y,$fot(join(X_30,converse(join(complement(top),complement(converse(X_30))))))),bind(Z,$fot(join(X_30,converse(join(zero,complement(converse(X_30)))))))]]) ).
cnf(refute_0_734,plain,
( join(X_30,converse(join(complement(top),complement(converse(X_30))))) != join(X_30,converse(join(zero,complement(converse(X_30)))))
| join(X_30,converse(join(complement(converse(X_30)),complement(top)))) = join(X_30,converse(join(zero,complement(converse(X_30))))) ),
inference(resolve,[$cnf( $equal(join(X_30,converse(join(complement(converse(X_30)),complement(top)))),join(X_30,converse(join(complement(top),complement(converse(X_30)))))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
join(X_30,converse(join(complement(converse(X_30)),complement(top)))) = join(X_30,converse(join(zero,complement(converse(X_30))))),
inference(resolve,[$cnf( $equal(join(X_30,converse(join(complement(top),complement(converse(X_30))))),join(X_30,converse(join(zero,complement(converse(X_30)))))) )],[refute_0_713,refute_0_734]) ).
cnf(refute_0_736,plain,
( converse(top) != join(X_30,converse(join(complement(converse(X_30)),complement(top))))
| join(X_30,converse(join(complement(converse(X_30)),complement(top)))) != join(X_30,converse(join(zero,complement(converse(X_30)))))
| converse(top) = join(X_30,converse(join(zero,complement(converse(X_30))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_30,converse(join(zero,complement(converse(X_30)))))) ),[0],$fot(join(X_30,converse(join(complement(converse(X_30)),complement(top)))))]]) ).
cnf(refute_0_737,plain,
( converse(top) != join(X_30,converse(join(complement(converse(X_30)),complement(top))))
| converse(top) = join(X_30,converse(join(zero,complement(converse(X_30))))) ),
inference(resolve,[$cnf( $equal(join(X_30,converse(join(complement(converse(X_30)),complement(top)))),join(X_30,converse(join(zero,complement(converse(X_30)))))) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
converse(top) = join(X_30,converse(join(zero,complement(converse(X_30))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_30,converse(join(complement(converse(X_30)),complement(top))))) )],[refute_0_701,refute_0_737]) ).
cnf(refute_0_739,plain,
converse(top) = join(converse(A),converse(join(zero,complement(converse(converse(A)))))),
inference(subst,[],[refute_0_738:[bind(X_30,$fot(converse(A)))]]) ).
cnf(refute_0_740,plain,
( converse(top) != join(converse(A),converse(join(zero,complement(converse(converse(A))))))
| join(converse(A),converse(join(zero,complement(converse(converse(A)))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(A),converse(join(zero,complement(converse(converse(A))))))))]]) ).
cnf(refute_0_741,plain,
join(converse(A),converse(join(zero,complement(converse(converse(A)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(converse(A),converse(join(zero,complement(converse(converse(A))))))) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
( converse(join(converse(A),converse(join(zero,complement(converse(converse(A))))))) != join(A,converse(converse(join(zero,complement(converse(converse(A)))))))
| join(converse(A),converse(join(zero,complement(converse(converse(A)))))) != converse(top)
| converse(converse(top)) = join(A,converse(converse(join(zero,complement(converse(converse(A))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),converse(join(zero,complement(converse(converse(A))))))),join(A,converse(converse(join(zero,complement(converse(converse(A)))))))) ),[0,0],$fot(converse(top))]]) ).
cnf(refute_0_743,plain,
( converse(join(converse(A),converse(join(zero,complement(converse(converse(A))))))) != join(A,converse(converse(join(zero,complement(converse(converse(A)))))))
| converse(converse(top)) = join(A,converse(converse(join(zero,complement(converse(converse(A))))))) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(join(zero,complement(converse(converse(A)))))),converse(top)) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
converse(converse(top)) = join(A,converse(converse(join(zero,complement(converse(converse(A))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),converse(join(zero,complement(converse(converse(A))))))),join(A,converse(converse(join(zero,complement(converse(converse(A)))))))) )],[refute_0_669,refute_0_743]) ).
cnf(refute_0_745,plain,
converse(converse(top)) = top,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(top))]]) ).
cnf(refute_0_746,plain,
( converse(converse(top)) != join(A,converse(converse(join(zero,complement(converse(converse(A)))))))
| converse(converse(top)) != top
| top = join(A,converse(converse(join(zero,complement(converse(converse(A))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),join(A,converse(converse(join(zero,complement(converse(converse(A)))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_747,plain,
( converse(converse(top)) != join(A,converse(converse(join(zero,complement(converse(converse(A)))))))
| top = join(A,converse(converse(join(zero,complement(converse(converse(A))))))) ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
complement(converse(converse(A))) = complement(converse(converse(A))),
introduced(tautology,[refl,[$fot(complement(converse(converse(A))))]]) ).
cnf(refute_0_749,plain,
( complement(converse(converse(A))) != complement(converse(converse(A)))
| converse(converse(A)) != A
| complement(converse(converse(A))) = complement(A) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(A))),complement(converse(converse(A)))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_750,plain,
( converse(converse(A)) != A
| complement(converse(converse(A))) = complement(A) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(A))),complement(converse(converse(A)))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
complement(converse(converse(A))) = complement(A),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_750]) ).
cnf(refute_0_752,plain,
join(zero,complement(converse(converse(A)))) = join(zero,complement(converse(converse(A)))),
introduced(tautology,[refl,[$fot(join(zero,complement(converse(converse(A)))))]]) ).
cnf(refute_0_753,plain,
( complement(converse(converse(A))) != complement(A)
| join(zero,complement(converse(converse(A)))) != join(zero,complement(converse(converse(A))))
| join(zero,complement(converse(converse(A)))) = join(zero,complement(A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(converse(converse(A)))),join(zero,complement(converse(converse(A))))) ),[1,1],$fot(complement(A))]]) ).
cnf(refute_0_754,plain,
( complement(converse(converse(A))) != complement(A)
| join(zero,complement(converse(converse(A)))) = join(zero,complement(A)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(converse(A)))),join(zero,complement(converse(converse(A))))) )],[refute_0_752,refute_0_753]) ).
cnf(refute_0_755,plain,
join(zero,complement(converse(converse(A)))) = join(zero,complement(A)),
inference(resolve,[$cnf( $equal(complement(converse(converse(A))),complement(A)) )],[refute_0_751,refute_0_754]) ).
cnf(refute_0_756,plain,
converse(converse(join(zero,complement(converse(converse(A)))))) = join(zero,complement(converse(converse(A)))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(zero,complement(converse(converse(A))))))]]) ).
cnf(refute_0_757,plain,
( converse(converse(join(zero,complement(converse(converse(A)))))) != join(zero,complement(converse(converse(A))))
| join(zero,complement(converse(converse(A)))) != join(zero,complement(A))
| converse(converse(join(zero,complement(converse(converse(A)))))) = join(zero,complement(A)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(converse(join(zero,complement(converse(converse(A)))))))),bind(Y,$fot(join(zero,complement(converse(converse(A)))))),bind(Z,$fot(join(zero,complement(A))))]]) ).
cnf(refute_0_758,plain,
( join(zero,complement(converse(converse(A)))) != join(zero,complement(A))
| converse(converse(join(zero,complement(converse(converse(A)))))) = join(zero,complement(A)) ),
inference(resolve,[$cnf( $equal(converse(converse(join(zero,complement(converse(converse(A)))))),join(zero,complement(converse(converse(A))))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
converse(converse(join(zero,complement(converse(converse(A)))))) = join(zero,complement(A)),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(converse(A)))),join(zero,complement(A))) )],[refute_0_755,refute_0_758]) ).
cnf(refute_0_760,plain,
join(A,converse(converse(join(zero,complement(converse(converse(A))))))) = join(A,converse(converse(join(zero,complement(converse(converse(A))))))),
introduced(tautology,[refl,[$fot(join(A,converse(converse(join(zero,complement(converse(converse(A))))))))]]) ).
cnf(refute_0_761,plain,
( converse(converse(join(zero,complement(converse(converse(A)))))) != join(zero,complement(A))
| join(A,converse(converse(join(zero,complement(converse(converse(A))))))) != join(A,converse(converse(join(zero,complement(converse(converse(A)))))))
| join(A,converse(converse(join(zero,complement(converse(converse(A))))))) = join(A,join(zero,complement(A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(converse(join(zero,complement(converse(converse(A))))))),join(A,converse(converse(join(zero,complement(converse(converse(A)))))))) ),[1,1],$fot(join(zero,complement(A)))]]) ).
cnf(refute_0_762,plain,
( converse(converse(join(zero,complement(converse(converse(A)))))) != join(zero,complement(A))
| join(A,converse(converse(join(zero,complement(converse(converse(A))))))) = join(A,join(zero,complement(A))) ),
inference(resolve,[$cnf( $equal(join(A,converse(converse(join(zero,complement(converse(converse(A))))))),join(A,converse(converse(join(zero,complement(converse(converse(A)))))))) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
join(A,converse(converse(join(zero,complement(converse(converse(A))))))) = join(A,join(zero,complement(A))),
inference(resolve,[$cnf( $equal(converse(converse(join(zero,complement(converse(converse(A)))))),join(zero,complement(A))) )],[refute_0_759,refute_0_762]) ).
cnf(refute_0_764,plain,
( join(A,converse(converse(join(zero,complement(converse(converse(A))))))) != join(A,join(zero,complement(A)))
| top != join(A,converse(converse(join(zero,complement(converse(converse(A)))))))
| top = join(A,join(zero,complement(A))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(A,converse(converse(join(zero,complement(converse(converse(A)))))))) ),[1],$fot(join(A,join(zero,complement(A))))]]) ).
cnf(refute_0_765,plain,
( top != join(A,converse(converse(join(zero,complement(converse(converse(A)))))))
| top = join(A,join(zero,complement(A))) ),
inference(resolve,[$cnf( $equal(join(A,converse(converse(join(zero,complement(converse(converse(A))))))),join(A,join(zero,complement(A)))) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
( converse(converse(top)) != join(A,converse(converse(join(zero,complement(converse(converse(A)))))))
| top = join(A,join(zero,complement(A))) ),
inference(resolve,[$cnf( $equal(top,join(A,converse(converse(join(zero,complement(converse(converse(A)))))))) )],[refute_0_747,refute_0_765]) ).
cnf(refute_0_767,plain,
top = join(A,join(zero,complement(A))),
inference(resolve,[$cnf( $equal(converse(converse(top)),join(A,converse(converse(join(zero,complement(converse(converse(A)))))))) )],[refute_0_744,refute_0_766]) ).
cnf(refute_0_768,plain,
join(zero,complement(A)) = complement(meet(top,A)),
inference(subst,[],[refute_0_381:[bind(B,$fot(A))]]) ).
cnf(refute_0_769,plain,
join(A,join(zero,complement(A))) = join(A,join(zero,complement(A))),
introduced(tautology,[refl,[$fot(join(A,join(zero,complement(A))))]]) ).
cnf(refute_0_770,plain,
( join(A,join(zero,complement(A))) != join(A,join(zero,complement(A)))
| join(zero,complement(A)) != complement(meet(top,A))
| join(A,join(zero,complement(A))) = join(A,complement(meet(top,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(zero,complement(A))),join(A,join(zero,complement(A)))) ),[1,1],$fot(complement(meet(top,A)))]]) ).
cnf(refute_0_771,plain,
( join(zero,complement(A)) != complement(meet(top,A))
| join(A,join(zero,complement(A))) = join(A,complement(meet(top,A))) ),
inference(resolve,[$cnf( $equal(join(A,join(zero,complement(A))),join(A,join(zero,complement(A)))) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
join(A,join(zero,complement(A))) = join(A,complement(meet(top,A))),
inference(resolve,[$cnf( $equal(join(zero,complement(A)),complement(meet(top,A))) )],[refute_0_768,refute_0_771]) ).
cnf(refute_0_773,plain,
( join(A,join(zero,complement(A))) != join(A,complement(meet(top,A)))
| top != join(A,join(zero,complement(A)))
| top = join(A,complement(meet(top,A))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(A,join(zero,complement(A)))) ),[1],$fot(join(A,complement(meet(top,A))))]]) ).
cnf(refute_0_774,plain,
( top != join(A,join(zero,complement(A)))
| top = join(A,complement(meet(top,A))) ),
inference(resolve,[$cnf( $equal(join(A,join(zero,complement(A))),join(A,complement(meet(top,A)))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
top = join(A,complement(meet(top,A))),
inference(resolve,[$cnf( $equal(top,join(A,join(zero,complement(A)))) )],[refute_0_767,refute_0_774]) ).
cnf(refute_0_776,plain,
top = join(X_75,complement(meet(top,X_75))),
inference(subst,[],[refute_0_775:[bind(A,$fot(X_75))]]) ).
cnf(refute_0_777,plain,
meet(X_75,top) = meet(top,X_75),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(X_75)),bind(X_16,$fot(top))]]) ).
cnf(refute_0_778,plain,
( meet(X_75,top) != meet(top,X_75)
| meet(top,X_75) = meet(X_75,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_75,top))),bind(Y,$fot(meet(top,X_75)))]]) ).
cnf(refute_0_779,plain,
meet(top,X_75) = meet(X_75,top),
inference(resolve,[$cnf( $equal(meet(X_75,top),meet(top,X_75)) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
( meet(top,X_75) != meet(X_75,top)
| top != join(X_75,complement(meet(top,X_75)))
| top = join(X_75,complement(meet(X_75,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_75,complement(meet(top,X_75)))) ),[1,1,0],$fot(meet(X_75,top))]]) ).
cnf(refute_0_781,plain,
( top != join(X_75,complement(meet(top,X_75)))
| top = join(X_75,complement(meet(X_75,top))) ),
inference(resolve,[$cnf( $equal(meet(top,X_75),meet(X_75,top)) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
top = join(X_75,complement(meet(X_75,top))),
inference(resolve,[$cnf( $equal(top,join(X_75,complement(meet(top,X_75)))) )],[refute_0_776,refute_0_781]) ).
cnf(refute_0_783,plain,
top = join(X_42,complement(meet(X_42,top))),
inference(subst,[],[refute_0_782:[bind(X_75,$fot(X_42))]]) ).
cnf(refute_0_784,plain,
( top != join(X_42,complement(meet(X_42,top)))
| join(X_42,complement(meet(X_42,top))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_42,complement(meet(X_42,top)))))]]) ).
cnf(refute_0_785,plain,
join(X_42,complement(meet(X_42,top))) = top,
inference(resolve,[$cnf( $equal(top,join(X_42,complement(meet(X_42,top)))) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
( join(X_42,complement(meet(X_42,top))) != top
| meet(X_42,top) != join(meet(meet(X_42,top),X_42),complement(join(X_42,complement(meet(X_42,top)))))
| meet(X_42,top) = join(meet(meet(X_42,top),X_42),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,top),join(meet(meet(X_42,top),X_42),complement(join(X_42,complement(meet(X_42,top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_787,plain,
( meet(X_42,top) != join(meet(meet(X_42,top),X_42),complement(join(X_42,complement(meet(X_42,top)))))
| meet(X_42,top) = join(meet(meet(X_42,top),X_42),complement(top)) ),
inference(resolve,[$cnf( $equal(join(X_42,complement(meet(X_42,top))),top) )],[refute_0_785,refute_0_786]) ).
cnf(refute_0_788,plain,
meet(X_42,top) = join(meet(meet(X_42,top),X_42),complement(top)),
inference(resolve,[$cnf( $equal(meet(X_42,top),join(meet(meet(X_42,top),X_42),complement(join(X_42,complement(meet(X_42,top)))))) )],[refute_0_668,refute_0_787]) ).
cnf(refute_0_789,plain,
meet(meet(X_42,top),X_42) = meet(X_42,meet(X_42,top)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(X_42)),bind(X_16,$fot(meet(X_42,top)))]]) ).
cnf(refute_0_790,plain,
join(zero,meet(meet(X_42,top),X_42)) = join(zero,meet(meet(X_42,top),X_42)),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(X_42,top),X_42)))]]) ).
cnf(refute_0_791,plain,
( join(zero,meet(meet(X_42,top),X_42)) != join(zero,meet(meet(X_42,top),X_42))
| meet(meet(X_42,top),X_42) != meet(X_42,meet(X_42,top))
| join(zero,meet(meet(X_42,top),X_42)) = join(zero,meet(X_42,meet(X_42,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(X_42,top),X_42)),join(zero,meet(meet(X_42,top),X_42))) ),[1,1],$fot(meet(X_42,meet(X_42,top)))]]) ).
cnf(refute_0_792,plain,
( meet(meet(X_42,top),X_42) != meet(X_42,meet(X_42,top))
| join(zero,meet(meet(X_42,top),X_42)) = join(zero,meet(X_42,meet(X_42,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_42,top),X_42)),join(zero,meet(meet(X_42,top),X_42))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
join(zero,meet(meet(X_42,top),X_42)) = join(zero,meet(X_42,meet(X_42,top))),
inference(resolve,[$cnf( $equal(meet(meet(X_42,top),X_42),meet(X_42,meet(X_42,top))) )],[refute_0_789,refute_0_792]) ).
cnf(refute_0_794,plain,
join(complement(top),meet(meet(X_42,top),X_42)) = join(complement(top),meet(meet(X_42,top),X_42)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(meet(X_42,top),X_42)))]]) ).
cnf(refute_0_795,plain,
( complement(top) != zero
| join(complement(top),meet(meet(X_42,top),X_42)) != join(complement(top),meet(meet(X_42,top),X_42))
| join(complement(top),meet(meet(X_42,top),X_42)) = join(zero,meet(meet(X_42,top),X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(meet(X_42,top),X_42)),join(complement(top),meet(meet(X_42,top),X_42))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_796,plain,
( complement(top) != zero
| join(complement(top),meet(meet(X_42,top),X_42)) = join(zero,meet(meet(X_42,top),X_42)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_42,top),X_42)),join(complement(top),meet(meet(X_42,top),X_42))) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
join(complement(top),meet(meet(X_42,top),X_42)) = join(zero,meet(meet(X_42,top),X_42)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_796]) ).
cnf(refute_0_798,plain,
( join(complement(top),meet(meet(X_42,top),X_42)) != join(zero,meet(meet(X_42,top),X_42))
| join(zero,meet(meet(X_42,top),X_42)) != join(zero,meet(X_42,meet(X_42,top)))
| join(complement(top),meet(meet(X_42,top),X_42)) = join(zero,meet(X_42,meet(X_42,top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(top),meet(meet(X_42,top),X_42)))),bind(Y,$fot(join(zero,meet(meet(X_42,top),X_42)))),bind(Z,$fot(join(zero,meet(X_42,meet(X_42,top)))))]]) ).
cnf(refute_0_799,plain,
( join(zero,meet(meet(X_42,top),X_42)) != join(zero,meet(X_42,meet(X_42,top)))
| join(complement(top),meet(meet(X_42,top),X_42)) = join(zero,meet(X_42,meet(X_42,top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_42,top),X_42)),join(zero,meet(meet(X_42,top),X_42))) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
join(complement(top),meet(meet(X_42,top),X_42)) = join(zero,meet(X_42,meet(X_42,top))),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_42,top),X_42)),join(zero,meet(X_42,meet(X_42,top)))) )],[refute_0_793,refute_0_799]) ).
cnf(refute_0_801,plain,
join(meet(meet(X_42,top),X_42),complement(top)) = join(complement(top),meet(meet(X_42,top),X_42)),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(top))),bind(B,$fot(meet(meet(X_42,top),X_42)))]]) ).
cnf(refute_0_802,plain,
( join(complement(top),meet(meet(X_42,top),X_42)) != join(zero,meet(X_42,meet(X_42,top)))
| join(meet(meet(X_42,top),X_42),complement(top)) != join(complement(top),meet(meet(X_42,top),X_42))
| join(meet(meet(X_42,top),X_42),complement(top)) = join(zero,meet(X_42,meet(X_42,top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(meet(X_42,top),X_42),complement(top)))),bind(Y,$fot(join(complement(top),meet(meet(X_42,top),X_42)))),bind(Z,$fot(join(zero,meet(X_42,meet(X_42,top)))))]]) ).
cnf(refute_0_803,plain,
( join(complement(top),meet(meet(X_42,top),X_42)) != join(zero,meet(X_42,meet(X_42,top)))
| join(meet(meet(X_42,top),X_42),complement(top)) = join(zero,meet(X_42,meet(X_42,top))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_42,top),X_42),complement(top)),join(complement(top),meet(meet(X_42,top),X_42))) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
join(meet(meet(X_42,top),X_42),complement(top)) = join(zero,meet(X_42,meet(X_42,top))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_42,top),X_42)),join(zero,meet(X_42,meet(X_42,top)))) )],[refute_0_800,refute_0_803]) ).
cnf(refute_0_805,plain,
( join(meet(meet(X_42,top),X_42),complement(top)) != join(zero,meet(X_42,meet(X_42,top)))
| meet(X_42,top) != join(meet(meet(X_42,top),X_42),complement(top))
| meet(X_42,top) = join(zero,meet(X_42,meet(X_42,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,top),join(meet(meet(X_42,top),X_42),complement(top))) ),[1],$fot(join(zero,meet(X_42,meet(X_42,top))))]]) ).
cnf(refute_0_806,plain,
( meet(X_42,top) != join(meet(meet(X_42,top),X_42),complement(top))
| meet(X_42,top) = join(zero,meet(X_42,meet(X_42,top))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_42,top),X_42),complement(top)),join(zero,meet(X_42,meet(X_42,top)))) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
meet(X_42,top) = join(zero,meet(X_42,meet(X_42,top))),
inference(resolve,[$cnf( $equal(meet(X_42,top),join(meet(meet(X_42,top),X_42),complement(top))) )],[refute_0_788,refute_0_806]) ).
cnf(refute_0_808,plain,
( meet(X_42,top) != join(zero,meet(X_42,meet(X_42,top)))
| join(zero,meet(X_42,meet(X_42,top))) = meet(X_42,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_42,top))),bind(Y,$fot(join(zero,meet(X_42,meet(X_42,top)))))]]) ).
cnf(refute_0_809,plain,
join(zero,meet(X_42,meet(X_42,top))) = meet(X_42,top),
inference(resolve,[$cnf( $equal(meet(X_42,top),join(zero,meet(X_42,meet(X_42,top)))) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
join(zero,meet(X_41,meet(X_41,top))) = meet(X_41,top),
inference(subst,[],[refute_0_809:[bind(X_42,$fot(X_41))]]) ).
cnf(refute_0_811,plain,
meet(meet(X_41,top),X_41) = meet(X_41,meet(X_41,top)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(X_41)),bind(X_16,$fot(meet(X_41,top)))]]) ).
cnf(refute_0_812,plain,
join(zero,meet(meet(X_41,top),X_41)) = join(zero,meet(meet(X_41,top),X_41)),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(X_41,top),X_41)))]]) ).
cnf(refute_0_813,plain,
( join(zero,meet(meet(X_41,top),X_41)) != join(zero,meet(meet(X_41,top),X_41))
| meet(meet(X_41,top),X_41) != meet(X_41,meet(X_41,top))
| join(zero,meet(meet(X_41,top),X_41)) = join(zero,meet(X_41,meet(X_41,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(X_41,top),X_41)),join(zero,meet(meet(X_41,top),X_41))) ),[1,1],$fot(meet(X_41,meet(X_41,top)))]]) ).
cnf(refute_0_814,plain,
( meet(meet(X_41,top),X_41) != meet(X_41,meet(X_41,top))
| join(zero,meet(meet(X_41,top),X_41)) = join(zero,meet(X_41,meet(X_41,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_41,top),X_41)),join(zero,meet(meet(X_41,top),X_41))) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
join(zero,meet(meet(X_41,top),X_41)) = join(zero,meet(X_41,meet(X_41,top))),
inference(resolve,[$cnf( $equal(meet(meet(X_41,top),X_41),meet(X_41,meet(X_41,top))) )],[refute_0_811,refute_0_814]) ).
cnf(refute_0_816,plain,
join(complement(top),meet(meet(X_41,top),X_41)) = join(complement(top),meet(meet(X_41,top),X_41)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(meet(X_41,top),X_41)))]]) ).
cnf(refute_0_817,plain,
( complement(top) != zero
| join(complement(top),meet(meet(X_41,top),X_41)) != join(complement(top),meet(meet(X_41,top),X_41))
| join(complement(top),meet(meet(X_41,top),X_41)) = join(zero,meet(meet(X_41,top),X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(meet(X_41,top),X_41)),join(complement(top),meet(meet(X_41,top),X_41))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_818,plain,
( complement(top) != zero
| join(complement(top),meet(meet(X_41,top),X_41)) = join(zero,meet(meet(X_41,top),X_41)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_41,top),X_41)),join(complement(top),meet(meet(X_41,top),X_41))) )],[refute_0_816,refute_0_817]) ).
cnf(refute_0_819,plain,
join(complement(top),meet(meet(X_41,top),X_41)) = join(zero,meet(meet(X_41,top),X_41)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_818]) ).
cnf(refute_0_820,plain,
( join(complement(top),meet(meet(X_41,top),X_41)) != join(zero,meet(meet(X_41,top),X_41))
| join(zero,meet(meet(X_41,top),X_41)) != join(zero,meet(X_41,meet(X_41,top)))
| join(complement(top),meet(meet(X_41,top),X_41)) = join(zero,meet(X_41,meet(X_41,top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(top),meet(meet(X_41,top),X_41)))),bind(Y,$fot(join(zero,meet(meet(X_41,top),X_41)))),bind(Z,$fot(join(zero,meet(X_41,meet(X_41,top)))))]]) ).
cnf(refute_0_821,plain,
( join(zero,meet(meet(X_41,top),X_41)) != join(zero,meet(X_41,meet(X_41,top)))
| join(complement(top),meet(meet(X_41,top),X_41)) = join(zero,meet(X_41,meet(X_41,top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_41,top),X_41)),join(zero,meet(meet(X_41,top),X_41))) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
join(complement(top),meet(meet(X_41,top),X_41)) = join(zero,meet(X_41,meet(X_41,top))),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_41,top),X_41)),join(zero,meet(X_41,meet(X_41,top)))) )],[refute_0_815,refute_0_821]) ).
cnf(refute_0_823,plain,
( join(complement(top),meet(meet(X_41,top),X_41)) != join(zero,meet(X_41,meet(X_41,top)))
| join(zero,meet(X_41,meet(X_41,top))) != meet(X_41,top)
| join(complement(top),meet(meet(X_41,top),X_41)) = meet(X_41,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(top),meet(meet(X_41,top),X_41)))),bind(Y,$fot(join(zero,meet(X_41,meet(X_41,top))))),bind(Z,$fot(meet(X_41,top)))]]) ).
cnf(refute_0_824,plain,
( join(zero,meet(X_41,meet(X_41,top))) != meet(X_41,top)
| join(complement(top),meet(meet(X_41,top),X_41)) = meet(X_41,top) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_41,top),X_41)),join(zero,meet(X_41,meet(X_41,top)))) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
join(complement(top),meet(meet(X_41,top),X_41)) = meet(X_41,top),
inference(resolve,[$cnf( $equal(join(zero,meet(X_41,meet(X_41,top))),meet(X_41,top)) )],[refute_0_810,refute_0_824]) ).
cnf(refute_0_826,plain,
join(meet(meet(X_41,top),X_41),complement(top)) = join(complement(top),meet(meet(X_41,top),X_41)),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(top))),bind(B,$fot(meet(meet(X_41,top),X_41)))]]) ).
cnf(refute_0_827,plain,
( join(complement(top),meet(meet(X_41,top),X_41)) != meet(X_41,top)
| join(meet(meet(X_41,top),X_41),complement(top)) != join(complement(top),meet(meet(X_41,top),X_41))
| join(meet(meet(X_41,top),X_41),complement(top)) = meet(X_41,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(meet(X_41,top),X_41),complement(top)))),bind(Y,$fot(join(complement(top),meet(meet(X_41,top),X_41)))),bind(Z,$fot(meet(X_41,top)))]]) ).
cnf(refute_0_828,plain,
( join(complement(top),meet(meet(X_41,top),X_41)) != meet(X_41,top)
| join(meet(meet(X_41,top),X_41),complement(top)) = meet(X_41,top) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_41,top),X_41),complement(top)),join(complement(top),meet(meet(X_41,top),X_41))) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
join(meet(meet(X_41,top),X_41),complement(top)) = meet(X_41,top),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X_41,top),X_41)),meet(X_41,top)) )],[refute_0_825,refute_0_828]) ).
cnf(refute_0_830,plain,
( X_41 != join(meet(meet(X_41,top),X_41),complement(top))
| join(meet(meet(X_41,top),X_41),complement(top)) != meet(X_41,top)
| X_41 = meet(X_41,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,meet(X_41,top)) ),[0],$fot(join(meet(meet(X_41,top),X_41),complement(top)))]]) ).
cnf(refute_0_831,plain,
( X_41 != join(meet(meet(X_41,top),X_41),complement(top))
| X_41 = meet(X_41,top) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_41,top),X_41),complement(top)),meet(X_41,top)) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
X_41 = meet(X_41,top),
inference(resolve,[$cnf( $equal(X_41,join(meet(meet(X_41,top),X_41),complement(top))) )],[refute_0_667,refute_0_831]) ).
cnf(refute_0_833,plain,
( X_41 != meet(X_41,top)
| meet(X_41,top) = X_41 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_41)),bind(Y,$fot(meet(X_41,top)))]]) ).
cnf(refute_0_834,plain,
meet(X_41,top) = X_41,
inference(resolve,[$cnf( $equal(X_41,meet(X_41,top)) )],[refute_0_832,refute_0_833]) ).
cnf(refute_0_835,plain,
join(zero,meet(X_41,top)) = join(zero,meet(X_41,top)),
introduced(tautology,[refl,[$fot(join(zero,meet(X_41,top)))]]) ).
cnf(refute_0_836,plain,
( join(zero,meet(X_41,top)) != join(zero,meet(X_41,top))
| meet(X_41,top) != X_41
| join(zero,meet(X_41,top)) = join(zero,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_41,top)),join(zero,meet(X_41,top))) ),[1,1],$fot(X_41)]]) ).
cnf(refute_0_837,plain,
( meet(X_41,top) != X_41
| join(zero,meet(X_41,top)) = join(zero,X_41) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_41,top)),join(zero,meet(X_41,top))) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
join(zero,meet(X_41,top)) = join(zero,X_41),
inference(resolve,[$cnf( $equal(meet(X_41,top),X_41) )],[refute_0_834,refute_0_837]) ).
cnf(refute_0_839,plain,
meet(X_41,join(zero,meet(X_41,top))) = meet(X_41,join(zero,meet(X_41,top))),
introduced(tautology,[refl,[$fot(meet(X_41,join(zero,meet(X_41,top))))]]) ).
cnf(refute_0_840,plain,
( join(zero,meet(X_41,top)) != join(zero,X_41)
| meet(X_41,join(zero,meet(X_41,top))) != meet(X_41,join(zero,meet(X_41,top)))
| meet(X_41,join(zero,meet(X_41,top))) = meet(X_41,join(zero,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_41,join(zero,meet(X_41,top))),meet(X_41,join(zero,meet(X_41,top)))) ),[1,1],$fot(join(zero,X_41))]]) ).
cnf(refute_0_841,plain,
( join(zero,meet(X_41,top)) != join(zero,X_41)
| meet(X_41,join(zero,meet(X_41,top))) = meet(X_41,join(zero,X_41)) ),
inference(resolve,[$cnf( $equal(meet(X_41,join(zero,meet(X_41,top))),meet(X_41,join(zero,meet(X_41,top)))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
meet(X_41,join(zero,meet(X_41,top))) = meet(X_41,join(zero,X_41)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_41,top)),join(zero,X_41)) )],[refute_0_838,refute_0_841]) ).
cnf(refute_0_843,plain,
join(zero,meet(X_41,join(zero,meet(X_41,top)))) = join(zero,meet(X_41,join(zero,meet(X_41,top)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_41,join(zero,meet(X_41,top)))))]]) ).
cnf(refute_0_844,plain,
( join(zero,meet(X_41,join(zero,meet(X_41,top)))) != join(zero,meet(X_41,join(zero,meet(X_41,top))))
| meet(X_41,join(zero,meet(X_41,top))) != meet(X_41,join(zero,X_41))
| join(zero,meet(X_41,join(zero,meet(X_41,top)))) = join(zero,meet(X_41,join(zero,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_41,join(zero,meet(X_41,top)))),join(zero,meet(X_41,join(zero,meet(X_41,top))))) ),[1,1],$fot(meet(X_41,join(zero,X_41)))]]) ).
cnf(refute_0_845,plain,
( meet(X_41,join(zero,meet(X_41,top))) != meet(X_41,join(zero,X_41))
| join(zero,meet(X_41,join(zero,meet(X_41,top)))) = join(zero,meet(X_41,join(zero,X_41))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_41,join(zero,meet(X_41,top)))),join(zero,meet(X_41,join(zero,meet(X_41,top))))) )],[refute_0_843,refute_0_844]) ).
cnf(refute_0_846,plain,
join(zero,meet(X_41,join(zero,meet(X_41,top)))) = join(zero,meet(X_41,join(zero,X_41))),
inference(resolve,[$cnf( $equal(meet(X_41,join(zero,meet(X_41,top))),meet(X_41,join(zero,X_41))) )],[refute_0_842,refute_0_845]) ).
cnf(refute_0_847,plain,
( X_41 != join(zero,meet(X_41,join(zero,meet(X_41,top))))
| join(zero,meet(X_41,join(zero,meet(X_41,top)))) != join(zero,meet(X_41,join(zero,X_41)))
| X_41 = join(zero,meet(X_41,join(zero,X_41))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,join(zero,meet(X_41,join(zero,X_41)))) ),[0],$fot(join(zero,meet(X_41,join(zero,meet(X_41,top)))))]]) ).
cnf(refute_0_848,plain,
( X_41 != join(zero,meet(X_41,join(zero,meet(X_41,top))))
| X_41 = join(zero,meet(X_41,join(zero,X_41))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_41,join(zero,meet(X_41,top)))),join(zero,meet(X_41,join(zero,X_41)))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
X_41 = join(zero,meet(X_41,join(zero,X_41))),
inference(resolve,[$cnf( $equal(X_41,join(zero,meet(X_41,join(zero,meet(X_41,top))))) )],[refute_0_593,refute_0_848]) ).
cnf(refute_0_850,plain,
( X_41 != join(zero,meet(X_41,join(zero,X_41)))
| join(zero,meet(X_41,join(zero,X_41))) = X_41 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_41)),bind(Y,$fot(join(zero,meet(X_41,join(zero,X_41)))))]]) ).
cnf(refute_0_851,plain,
join(zero,meet(X_41,join(zero,X_41))) = X_41,
inference(resolve,[$cnf( $equal(X_41,join(zero,meet(X_41,join(zero,X_41)))) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
join(zero,meet(X_45,join(zero,X_45))) = X_45,
inference(subst,[],[refute_0_851:[bind(X_41,$fot(X_45))]]) ).
cnf(refute_0_853,plain,
meet(join(zero,X_45),X_45) = meet(X_45,join(zero,X_45)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(X_45)),bind(X_16,$fot(join(zero,X_45)))]]) ).
cnf(refute_0_854,plain,
meet(X_45,top) = X_45,
inference(subst,[],[refute_0_834:[bind(X_41,$fot(X_45))]]) ).
cnf(refute_0_855,plain,
meet(join(zero,X_45),meet(X_45,top)) = meet(join(zero,X_45),meet(X_45,top)),
introduced(tautology,[refl,[$fot(meet(join(zero,X_45),meet(X_45,top)))]]) ).
cnf(refute_0_856,plain,
( meet(X_45,top) != X_45
| meet(join(zero,X_45),meet(X_45,top)) != meet(join(zero,X_45),meet(X_45,top))
| meet(join(zero,X_45),meet(X_45,top)) = meet(join(zero,X_45),X_45) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,X_45),meet(X_45,top)),meet(join(zero,X_45),meet(X_45,top))) ),[1,1],$fot(X_45)]]) ).
cnf(refute_0_857,plain,
( meet(X_45,top) != X_45
| meet(join(zero,X_45),meet(X_45,top)) = meet(join(zero,X_45),X_45) ),
inference(resolve,[$cnf( $equal(meet(join(zero,X_45),meet(X_45,top)),meet(join(zero,X_45),meet(X_45,top))) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
meet(join(zero,X_45),meet(X_45,top)) = meet(join(zero,X_45),X_45),
inference(resolve,[$cnf( $equal(meet(X_45,top),X_45) )],[refute_0_854,refute_0_857]) ).
cnf(refute_0_859,plain,
( meet(join(zero,X_45),X_45) != meet(X_45,join(zero,X_45))
| meet(join(zero,X_45),meet(X_45,top)) != meet(join(zero,X_45),X_45)
| meet(join(zero,X_45),meet(X_45,top)) = meet(X_45,join(zero,X_45)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(zero,X_45),meet(X_45,top)))),bind(Y,$fot(meet(join(zero,X_45),X_45))),bind(Z,$fot(meet(X_45,join(zero,X_45))))]]) ).
cnf(refute_0_860,plain,
( meet(join(zero,X_45),X_45) != meet(X_45,join(zero,X_45))
| meet(join(zero,X_45),meet(X_45,top)) = meet(X_45,join(zero,X_45)) ),
inference(resolve,[$cnf( $equal(meet(join(zero,X_45),meet(X_45,top)),meet(join(zero,X_45),X_45)) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
meet(join(zero,X_45),meet(X_45,top)) = meet(X_45,join(zero,X_45)),
inference(resolve,[$cnf( $equal(meet(join(zero,X_45),X_45),meet(X_45,join(zero,X_45))) )],[refute_0_853,refute_0_860]) ).
cnf(refute_0_862,plain,
join(zero,meet(join(zero,X_45),meet(X_45,top))) = join(zero,meet(join(zero,X_45),meet(X_45,top))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,X_45),meet(X_45,top))))]]) ).
cnf(refute_0_863,plain,
( join(zero,meet(join(zero,X_45),meet(X_45,top))) != join(zero,meet(join(zero,X_45),meet(X_45,top)))
| meet(join(zero,X_45),meet(X_45,top)) != meet(X_45,join(zero,X_45))
| join(zero,meet(join(zero,X_45),meet(X_45,top))) = join(zero,meet(X_45,join(zero,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,X_45),meet(X_45,top))),join(zero,meet(join(zero,X_45),meet(X_45,top)))) ),[1,1],$fot(meet(X_45,join(zero,X_45)))]]) ).
cnf(refute_0_864,plain,
( meet(join(zero,X_45),meet(X_45,top)) != meet(X_45,join(zero,X_45))
| join(zero,meet(join(zero,X_45),meet(X_45,top))) = join(zero,meet(X_45,join(zero,X_45))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,X_45),meet(X_45,top))),join(zero,meet(join(zero,X_45),meet(X_45,top)))) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
join(zero,meet(join(zero,X_45),meet(X_45,top))) = join(zero,meet(X_45,join(zero,X_45))),
inference(resolve,[$cnf( $equal(meet(join(zero,X_45),meet(X_45,top)),meet(X_45,join(zero,X_45))) )],[refute_0_861,refute_0_864]) ).
cnf(refute_0_866,plain,
( join(zero,meet(X_45,join(zero,X_45))) != X_45
| join(zero,meet(join(zero,X_45),meet(X_45,top))) != join(zero,meet(X_45,join(zero,X_45)))
| join(zero,meet(join(zero,X_45),meet(X_45,top))) = X_45 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,meet(join(zero,X_45),meet(X_45,top))))),bind(Y,$fot(join(zero,meet(X_45,join(zero,X_45))))),bind(Z,$fot(X_45))]]) ).
cnf(refute_0_867,plain,
( join(zero,meet(X_45,join(zero,X_45))) != X_45
| join(zero,meet(join(zero,X_45),meet(X_45,top))) = X_45 ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,X_45),meet(X_45,top))),join(zero,meet(X_45,join(zero,X_45)))) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
join(zero,meet(join(zero,X_45),meet(X_45,top))) = X_45,
inference(resolve,[$cnf( $equal(join(zero,meet(X_45,join(zero,X_45))),X_45) )],[refute_0_852,refute_0_867]) ).
cnf(refute_0_869,plain,
( join(zero,X_45) != join(zero,meet(join(zero,X_45),meet(X_45,top)))
| join(zero,meet(join(zero,X_45),meet(X_45,top))) != X_45
| join(zero,X_45) = X_45 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,X_45),X_45) ),[0],$fot(join(zero,meet(join(zero,X_45),meet(X_45,top))))]]) ).
cnf(refute_0_870,plain,
( join(zero,X_45) != join(zero,meet(join(zero,X_45),meet(X_45,top)))
| join(zero,X_45) = X_45 ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,X_45),meet(X_45,top))),X_45) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
join(zero,X_45) = X_45,
inference(resolve,[$cnf( $equal(join(zero,X_45),join(zero,meet(join(zero,X_45),meet(X_45,top)))) )],[refute_0_563,refute_0_870]) ).
cnf(refute_0_872,plain,
join(zero,complement(B)) = complement(B),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(complement(B)))]]) ).
cnf(refute_0_873,plain,
( join(zero,complement(B)) != complement(B)
| join(zero,complement(B)) != complement(meet(top,B))
| complement(B) = complement(meet(top,B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),complement(meet(top,B))) ),[0],$fot(complement(B))]]) ).
cnf(refute_0_874,plain,
( join(zero,complement(B)) != complement(meet(top,B))
| complement(B) = complement(meet(top,B)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
complement(B) = complement(meet(top,B)),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(meet(top,B))) )],[refute_0_381,refute_0_874]) ).
cnf(refute_0_876,plain,
( complement(B) != complement(meet(top,B))
| complement(meet(top,B)) = complement(B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(B))),bind(Y,$fot(complement(meet(top,B))))]]) ).
cnf(refute_0_877,plain,
complement(meet(top,B)) = complement(B),
inference(resolve,[$cnf( $equal(complement(B),complement(meet(top,B))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
complement(meet(top,X_69)) = complement(X_69),
inference(subst,[],[refute_0_877:[bind(B,$fot(X_69))]]) ).
cnf(refute_0_879,plain,
join(zero,meet(top,X_69)) = meet(top,X_69),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(top,X_69)))]]) ).
cnf(refute_0_880,plain,
complement(join(zero,meet(top,X_69))) = complement(join(zero,meet(top,X_69))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,X_69))))]]) ).
cnf(refute_0_881,plain,
( complement(join(zero,meet(top,X_69))) != complement(join(zero,meet(top,X_69)))
| join(zero,meet(top,X_69)) != meet(top,X_69)
| complement(join(zero,meet(top,X_69))) = complement(meet(top,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,X_69))),complement(join(zero,meet(top,X_69)))) ),[1,0],$fot(meet(top,X_69))]]) ).
cnf(refute_0_882,plain,
( join(zero,meet(top,X_69)) != meet(top,X_69)
| complement(join(zero,meet(top,X_69))) = complement(meet(top,X_69)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_69))),complement(join(zero,meet(top,X_69)))) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
complement(join(zero,meet(top,X_69))) = complement(meet(top,X_69)),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_69)),meet(top,X_69)) )],[refute_0_879,refute_0_882]) ).
cnf(refute_0_884,plain,
( complement(join(zero,meet(top,X_69))) != complement(meet(top,X_69))
| complement(meet(top,X_69)) != complement(X_69)
| complement(join(zero,meet(top,X_69))) = complement(X_69) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(join(zero,meet(top,X_69))))),bind(Y,$fot(complement(meet(top,X_69)))),bind(Z,$fot(complement(X_69)))]]) ).
cnf(refute_0_885,plain,
( complement(meet(top,X_69)) != complement(X_69)
| complement(join(zero,meet(top,X_69))) = complement(X_69) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_69))),complement(meet(top,X_69))) )],[refute_0_883,refute_0_884]) ).
cnf(refute_0_886,plain,
complement(join(zero,meet(top,X_69))) = complement(X_69),
inference(resolve,[$cnf( $equal(complement(meet(top,X_69)),complement(X_69)) )],[refute_0_878,refute_0_885]) ).
cnf(refute_0_887,plain,
complement(complement(join(zero,meet(top,X_69)))) = complement(complement(join(zero,meet(top,X_69)))),
introduced(tautology,[refl,[$fot(complement(complement(join(zero,meet(top,X_69)))))]]) ).
cnf(refute_0_888,plain,
( complement(complement(join(zero,meet(top,X_69)))) != complement(complement(join(zero,meet(top,X_69))))
| complement(join(zero,meet(top,X_69))) != complement(X_69)
| complement(complement(join(zero,meet(top,X_69)))) = complement(complement(X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(zero,meet(top,X_69)))),complement(complement(join(zero,meet(top,X_69))))) ),[1,0],$fot(complement(X_69))]]) ).
cnf(refute_0_889,plain,
( complement(join(zero,meet(top,X_69))) != complement(X_69)
| complement(complement(join(zero,meet(top,X_69)))) = complement(complement(X_69)) ),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,X_69)))),complement(complement(join(zero,meet(top,X_69))))) )],[refute_0_887,refute_0_888]) ).
cnf(refute_0_890,plain,
complement(complement(join(zero,meet(top,X_69)))) = complement(complement(X_69)),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_69))),complement(X_69)) )],[refute_0_886,refute_0_889]) ).
cnf(refute_0_891,plain,
( complement(complement(join(zero,meet(top,X_69)))) != complement(complement(X_69))
| meet(top,X_69) != complement(complement(join(zero,meet(top,X_69))))
| meet(top,X_69) = complement(complement(X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_69),complement(complement(join(zero,meet(top,X_69))))) ),[1],$fot(complement(complement(X_69)))]]) ).
cnf(refute_0_892,plain,
( meet(top,X_69) != complement(complement(join(zero,meet(top,X_69))))
| meet(top,X_69) = complement(complement(X_69)) ),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,X_69)))),complement(complement(X_69))) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
meet(top,X_69) = complement(complement(X_69)),
inference(resolve,[$cnf( $equal(meet(top,X_69),complement(complement(join(zero,meet(top,X_69))))) )],[refute_0_501,refute_0_892]) ).
cnf(refute_0_894,plain,
meet(top,X_25) = complement(complement(X_25)),
inference(subst,[],[refute_0_893:[bind(X_69,$fot(X_25))]]) ).
cnf(refute_0_895,plain,
( meet(top,X_25) != complement(complement(X_25))
| meet(top,X_25) != meet(top,meet(X_25,meet(top,X_25)))
| complement(complement(X_25)) = meet(top,meet(X_25,meet(top,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_25),meet(top,meet(X_25,meet(top,X_25)))) ),[0],$fot(complement(complement(X_25)))]]) ).
cnf(refute_0_896,plain,
( meet(top,X_25) != meet(top,meet(X_25,meet(top,X_25)))
| complement(complement(X_25)) = meet(top,meet(X_25,meet(top,X_25))) ),
inference(resolve,[$cnf( $equal(meet(top,X_25),complement(complement(X_25))) )],[refute_0_894,refute_0_895]) ).
cnf(refute_0_897,plain,
join(zero,meet(X_41,complement(complement(X_41)))) = meet(X_41,complement(complement(X_41))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(X_41,complement(complement(X_41)))))]]) ).
cnf(refute_0_898,plain,
( X_41 != join(zero,meet(X_41,complement(complement(X_41))))
| join(zero,meet(X_41,complement(complement(X_41)))) != meet(X_41,complement(complement(X_41)))
| X_41 = meet(X_41,complement(complement(X_41))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,meet(X_41,complement(complement(X_41)))) ),[0],$fot(join(zero,meet(X_41,complement(complement(X_41)))))]]) ).
cnf(refute_0_899,plain,
( X_41 != join(zero,meet(X_41,complement(complement(X_41))))
| X_41 = meet(X_41,complement(complement(X_41))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_41,complement(complement(X_41)))),meet(X_41,complement(complement(X_41)))) )],[refute_0_897,refute_0_898]) ).
cnf(refute_0_900,plain,
X_41 = meet(X_41,complement(complement(X_41))),
inference(resolve,[$cnf( $equal(X_41,join(zero,meet(X_41,complement(complement(X_41))))) )],[refute_0_277,refute_0_899]) ).
cnf(refute_0_901,plain,
( X_41 != meet(X_41,complement(complement(X_41)))
| meet(X_41,complement(complement(X_41))) = X_41 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_41)),bind(Y,$fot(meet(X_41,complement(complement(X_41)))))]]) ).
cnf(refute_0_902,plain,
meet(X_41,complement(complement(X_41))) = X_41,
inference(resolve,[$cnf( $equal(X_41,meet(X_41,complement(complement(X_41)))) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
meet(X_25,complement(complement(X_25))) = X_25,
inference(subst,[],[refute_0_902:[bind(X_41,$fot(X_25))]]) ).
cnf(refute_0_904,plain,
meet(X_25,meet(top,X_25)) = meet(X_25,meet(top,X_25)),
introduced(tautology,[refl,[$fot(meet(X_25,meet(top,X_25)))]]) ).
cnf(refute_0_905,plain,
( meet(X_25,meet(top,X_25)) != meet(X_25,meet(top,X_25))
| meet(top,X_25) != complement(complement(X_25))
| meet(X_25,meet(top,X_25)) = meet(X_25,complement(complement(X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_25,meet(top,X_25)),meet(X_25,meet(top,X_25))) ),[1,1],$fot(complement(complement(X_25)))]]) ).
cnf(refute_0_906,plain,
( meet(top,X_25) != complement(complement(X_25))
| meet(X_25,meet(top,X_25)) = meet(X_25,complement(complement(X_25))) ),
inference(resolve,[$cnf( $equal(meet(X_25,meet(top,X_25)),meet(X_25,meet(top,X_25))) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
meet(X_25,meet(top,X_25)) = meet(X_25,complement(complement(X_25))),
inference(resolve,[$cnf( $equal(meet(top,X_25),complement(complement(X_25))) )],[refute_0_894,refute_0_906]) ).
cnf(refute_0_908,plain,
( meet(X_25,complement(complement(X_25))) != X_25
| meet(X_25,meet(top,X_25)) != meet(X_25,complement(complement(X_25)))
| meet(X_25,meet(top,X_25)) = X_25 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(X_25,meet(top,X_25)))),bind(Y,$fot(meet(X_25,complement(complement(X_25))))),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_909,plain,
( meet(X_25,complement(complement(X_25))) != X_25
| meet(X_25,meet(top,X_25)) = X_25 ),
inference(resolve,[$cnf( $equal(meet(X_25,meet(top,X_25)),meet(X_25,complement(complement(X_25)))) )],[refute_0_907,refute_0_908]) ).
cnf(refute_0_910,plain,
meet(X_25,meet(top,X_25)) = X_25,
inference(resolve,[$cnf( $equal(meet(X_25,complement(complement(X_25))),X_25) )],[refute_0_903,refute_0_909]) ).
cnf(refute_0_911,plain,
complement(join(complement(A),complement(B))) = complement(join(complement(A),complement(B))),
introduced(tautology,[refl,[$fot(complement(join(complement(A),complement(B))))]]) ).
cnf(refute_0_912,plain,
( complement(join(complement(A),complement(B))) != complement(join(complement(A),complement(B)))
| join(complement(A),complement(B)) != complement(meet(A,B))
| complement(join(complement(A),complement(B))) = complement(complement(meet(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))) ),[1,0],$fot(complement(meet(A,B)))]]) ).
cnf(refute_0_913,plain,
( join(complement(A),complement(B)) != complement(meet(A,B))
| complement(join(complement(A),complement(B))) = complement(complement(meet(A,B))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),complement(join(complement(A),complement(B)))) )],[refute_0_911,refute_0_912]) ).
cnf(refute_0_914,plain,
complement(join(complement(A),complement(B))) = complement(complement(meet(A,B))),
inference(resolve,[$cnf( $equal(join(complement(A),complement(B)),complement(meet(A,B))) )],[refute_0_356,refute_0_913]) ).
cnf(refute_0_915,plain,
( complement(join(complement(A),complement(B))) != complement(complement(meet(A,B)))
| meet(A,B) != complement(join(complement(A),complement(B)))
| meet(A,B) = complement(complement(meet(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,B),complement(join(complement(A),complement(B)))) ),[1],$fot(complement(complement(meet(A,B))))]]) ).
cnf(refute_0_916,plain,
( meet(A,B) != complement(join(complement(A),complement(B)))
| meet(A,B) = complement(complement(meet(A,B))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(A),complement(B))),complement(complement(meet(A,B)))) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
meet(A,B) = complement(complement(meet(A,B))),
inference(resolve,[$cnf( $equal(meet(A,B),complement(join(complement(A),complement(B)))) )],[maddux4_definiton_of_meet_4,refute_0_916]) ).
cnf(refute_0_918,plain,
( meet(A,B) != complement(complement(meet(A,B)))
| complement(complement(meet(A,B))) = meet(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,B))),bind(Y,$fot(complement(complement(meet(A,B)))))]]) ).
cnf(refute_0_919,plain,
complement(complement(meet(A,B))) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(A,B),complement(complement(meet(A,B)))) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
complement(complement(meet(X_25,meet(top,X_25)))) = meet(X_25,meet(top,X_25)),
inference(subst,[],[refute_0_919:[bind(A,$fot(X_25)),bind(B,$fot(meet(top,X_25)))]]) ).
cnf(refute_0_921,plain,
meet(top,meet(X_25,meet(top,X_25))) = complement(complement(meet(X_25,meet(top,X_25)))),
inference(subst,[],[refute_0_893:[bind(X_69,$fot(meet(X_25,meet(top,X_25))))]]) ).
cnf(refute_0_922,plain,
( complement(complement(meet(X_25,meet(top,X_25)))) != meet(X_25,meet(top,X_25))
| meet(top,meet(X_25,meet(top,X_25))) != complement(complement(meet(X_25,meet(top,X_25))))
| meet(top,meet(X_25,meet(top,X_25))) = meet(X_25,meet(top,X_25)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(top,meet(X_25,meet(top,X_25))))),bind(Y,$fot(complement(complement(meet(X_25,meet(top,X_25)))))),bind(Z,$fot(meet(X_25,meet(top,X_25))))]]) ).
cnf(refute_0_923,plain,
( complement(complement(meet(X_25,meet(top,X_25)))) != meet(X_25,meet(top,X_25))
| meet(top,meet(X_25,meet(top,X_25))) = meet(X_25,meet(top,X_25)) ),
inference(resolve,[$cnf( $equal(meet(top,meet(X_25,meet(top,X_25))),complement(complement(meet(X_25,meet(top,X_25))))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
meet(top,meet(X_25,meet(top,X_25))) = meet(X_25,meet(top,X_25)),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_25,meet(top,X_25)))),meet(X_25,meet(top,X_25))) )],[refute_0_920,refute_0_923]) ).
cnf(refute_0_925,plain,
( meet(X_25,meet(top,X_25)) != X_25
| meet(top,meet(X_25,meet(top,X_25))) != meet(X_25,meet(top,X_25))
| meet(top,meet(X_25,meet(top,X_25))) = X_25 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(top,meet(X_25,meet(top,X_25))))),bind(Y,$fot(meet(X_25,meet(top,X_25)))),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_926,plain,
( meet(X_25,meet(top,X_25)) != X_25
| meet(top,meet(X_25,meet(top,X_25))) = X_25 ),
inference(resolve,[$cnf( $equal(meet(top,meet(X_25,meet(top,X_25))),meet(X_25,meet(top,X_25))) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
meet(top,meet(X_25,meet(top,X_25))) = X_25,
inference(resolve,[$cnf( $equal(meet(X_25,meet(top,X_25)),X_25) )],[refute_0_910,refute_0_926]) ).
cnf(refute_0_928,plain,
( complement(complement(X_25)) != meet(top,meet(X_25,meet(top,X_25)))
| meet(top,meet(X_25,meet(top,X_25))) != X_25
| complement(complement(X_25)) = X_25 ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(complement(X_25)),X_25) ),[0],$fot(meet(top,meet(X_25,meet(top,X_25))))]]) ).
cnf(refute_0_929,plain,
( complement(complement(X_25)) != meet(top,meet(X_25,meet(top,X_25)))
| complement(complement(X_25)) = X_25 ),
inference(resolve,[$cnf( $equal(meet(top,meet(X_25,meet(top,X_25))),X_25) )],[refute_0_927,refute_0_928]) ).
cnf(refute_0_930,plain,
( meet(top,X_25) != meet(top,meet(X_25,meet(top,X_25)))
| complement(complement(X_25)) = X_25 ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),meet(top,meet(X_25,meet(top,X_25)))) )],[refute_0_896,refute_0_929]) ).
cnf(refute_0_931,plain,
complement(complement(X_25)) = X_25,
inference(resolve,[$cnf( $equal(meet(top,X_25),meet(top,meet(X_25,meet(top,X_25)))) )],[refute_0_535,refute_0_930]) ).
cnf(refute_0_932,plain,
complement(complement(X_74)) = X_74,
inference(subst,[],[refute_0_931:[bind(X_25,$fot(X_74))]]) ).
cnf(refute_0_933,plain,
join(X_74,complement(complement(X_74))) = join(X_74,complement(complement(X_74))),
introduced(tautology,[refl,[$fot(join(X_74,complement(complement(X_74))))]]) ).
cnf(refute_0_934,plain,
( complement(complement(X_74)) != X_74
| join(X_74,complement(complement(X_74))) != join(X_74,complement(complement(X_74)))
| join(X_74,complement(complement(X_74))) = join(X_74,X_74) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_74,complement(complement(X_74))),join(X_74,complement(complement(X_74)))) ),[1,1],$fot(X_74)]]) ).
cnf(refute_0_935,plain,
( complement(complement(X_74)) != X_74
| join(X_74,complement(complement(X_74))) = join(X_74,X_74) ),
inference(resolve,[$cnf( $equal(join(X_74,complement(complement(X_74))),join(X_74,complement(complement(X_74)))) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
join(X_74,complement(complement(X_74))) = join(X_74,X_74),
inference(resolve,[$cnf( $equal(complement(complement(X_74)),X_74) )],[refute_0_932,refute_0_935]) ).
cnf(refute_0_937,plain,
complement(complement(X_69)) = X_69,
inference(subst,[],[refute_0_931:[bind(X_25,$fot(X_69))]]) ).
cnf(refute_0_938,plain,
( complement(complement(X_69)) != X_69
| meet(top,X_69) != complement(complement(X_69))
| meet(top,X_69) = X_69 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_69),complement(complement(X_69))) ),[1],$fot(X_69)]]) ).
cnf(refute_0_939,plain,
( meet(top,X_69) != complement(complement(X_69))
| meet(top,X_69) = X_69 ),
inference(resolve,[$cnf( $equal(complement(complement(X_69)),X_69) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
meet(top,X_69) = X_69,
inference(resolve,[$cnf( $equal(meet(top,X_69),complement(complement(X_69))) )],[refute_0_893,refute_0_939]) ).
cnf(refute_0_941,plain,
meet(top,join(X_74,complement(complement(X_74)))) = join(X_74,complement(complement(X_74))),
inference(subst,[],[refute_0_940:[bind(X_69,$fot(join(X_74,complement(complement(X_74)))))]]) ).
cnf(refute_0_942,plain,
( join(X_74,complement(complement(X_74))) != join(X_74,X_74)
| meet(top,join(X_74,complement(complement(X_74)))) != join(X_74,complement(complement(X_74)))
| meet(top,join(X_74,complement(complement(X_74)))) = join(X_74,X_74) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(top,join(X_74,complement(complement(X_74)))))),bind(Y,$fot(join(X_74,complement(complement(X_74))))),bind(Z,$fot(join(X_74,X_74)))]]) ).
cnf(refute_0_943,plain,
( join(X_74,complement(complement(X_74))) != join(X_74,X_74)
| meet(top,join(X_74,complement(complement(X_74)))) = join(X_74,X_74) ),
inference(resolve,[$cnf( $equal(meet(top,join(X_74,complement(complement(X_74)))),join(X_74,complement(complement(X_74)))) )],[refute_0_941,refute_0_942]) ).
cnf(refute_0_944,plain,
meet(top,join(X_74,complement(complement(X_74)))) = join(X_74,X_74),
inference(resolve,[$cnf( $equal(join(X_74,complement(complement(X_74))),join(X_74,X_74)) )],[refute_0_936,refute_0_943]) ).
cnf(refute_0_945,plain,
complement(meet(top,join(X_74,complement(complement(X_74))))) = complement(meet(top,join(X_74,complement(complement(X_74))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(X_74,complement(complement(X_74))))))]]) ).
cnf(refute_0_946,plain,
( complement(meet(top,join(X_74,complement(complement(X_74))))) != complement(meet(top,join(X_74,complement(complement(X_74)))))
| meet(top,join(X_74,complement(complement(X_74)))) != join(X_74,X_74)
| complement(meet(top,join(X_74,complement(complement(X_74))))) = complement(join(X_74,X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(X_74,complement(complement(X_74))))),complement(meet(top,join(X_74,complement(complement(X_74)))))) ),[1,0],$fot(join(X_74,X_74))]]) ).
cnf(refute_0_947,plain,
( meet(top,join(X_74,complement(complement(X_74)))) != join(X_74,X_74)
| complement(meet(top,join(X_74,complement(complement(X_74))))) = complement(join(X_74,X_74)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(X_74,complement(complement(X_74))))),complement(meet(top,join(X_74,complement(complement(X_74)))))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
complement(meet(top,join(X_74,complement(complement(X_74))))) = complement(join(X_74,X_74)),
inference(resolve,[$cnf( $equal(meet(top,join(X_74,complement(complement(X_74)))),join(X_74,X_74)) )],[refute_0_944,refute_0_947]) ).
cnf(refute_0_949,plain,
( complement(X_74) != complement(meet(top,join(X_74,complement(complement(X_74)))))
| complement(meet(top,join(X_74,complement(complement(X_74))))) != complement(join(X_74,X_74))
| complement(X_74) = complement(join(X_74,X_74)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_74),complement(join(X_74,X_74))) ),[0],$fot(complement(meet(top,join(X_74,complement(complement(X_74))))))]]) ).
cnf(refute_0_950,plain,
( complement(X_74) != complement(meet(top,join(X_74,complement(complement(X_74)))))
| complement(X_74) = complement(join(X_74,X_74)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(X_74,complement(complement(X_74))))),complement(join(X_74,X_74))) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
complement(X_74) = complement(join(X_74,X_74)),
inference(resolve,[$cnf( $equal(complement(X_74),complement(meet(top,join(X_74,complement(complement(X_74)))))) )],[refute_0_385,refute_0_950]) ).
cnf(refute_0_952,plain,
complement(X_100) = complement(join(X_100,X_100)),
inference(subst,[],[refute_0_951:[bind(X_74,$fot(X_100))]]) ).
cnf(refute_0_953,plain,
( complement(X_100) != complement(join(X_100,X_100))
| complement(join(X_100,X_100)) = complement(X_100) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_100))),bind(Y,$fot(complement(join(X_100,X_100))))]]) ).
cnf(refute_0_954,plain,
complement(join(X_100,X_100)) = complement(X_100),
inference(resolve,[$cnf( $equal(complement(X_100),complement(join(X_100,X_100))) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
( complement(join(X_100,X_100)) != complement(X_100)
| zero != meet(join(X_100,X_100),complement(join(X_100,X_100)))
| zero = meet(join(X_100,X_100),complement(X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(X_100,X_100),complement(join(X_100,X_100)))) ),[1,1],$fot(complement(X_100))]]) ).
cnf(refute_0_956,plain,
( zero != meet(join(X_100,X_100),complement(join(X_100,X_100)))
| zero = meet(join(X_100,X_100),complement(X_100)) ),
inference(resolve,[$cnf( $equal(complement(join(X_100,X_100)),complement(X_100)) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
zero = meet(join(X_100,X_100),complement(X_100)),
inference(resolve,[$cnf( $equal(zero,meet(join(X_100,X_100),complement(join(X_100,X_100)))) )],[refute_0_207,refute_0_956]) ).
cnf(refute_0_958,plain,
meet(join(X_100,X_100),complement(X_100)) = meet(complement(X_100),join(X_100,X_100)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(complement(X_100))),bind(X_16,$fot(join(X_100,X_100)))]]) ).
cnf(refute_0_959,plain,
( meet(join(X_100,X_100),complement(X_100)) != meet(complement(X_100),join(X_100,X_100))
| zero != meet(join(X_100,X_100),complement(X_100))
| zero = meet(complement(X_100),join(X_100,X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(X_100,X_100),complement(X_100))) ),[1],$fot(meet(complement(X_100),join(X_100,X_100)))]]) ).
cnf(refute_0_960,plain,
( zero != meet(join(X_100,X_100),complement(X_100))
| zero = meet(complement(X_100),join(X_100,X_100)) ),
inference(resolve,[$cnf( $equal(meet(join(X_100,X_100),complement(X_100)),meet(complement(X_100),join(X_100,X_100))) )],[refute_0_958,refute_0_959]) ).
cnf(refute_0_961,plain,
zero = meet(complement(X_100),join(X_100,X_100)),
inference(resolve,[$cnf( $equal(zero,meet(join(X_100,X_100),complement(X_100))) )],[refute_0_957,refute_0_960]) ).
cnf(refute_0_962,plain,
zero = meet(complement(X_139),join(X_139,X_139)),
inference(subst,[],[refute_0_961:[bind(X_100,$fot(X_139))]]) ).
cnf(refute_0_963,plain,
( zero != meet(complement(X_139),join(X_139,X_139))
| meet(complement(X_139),join(X_139,X_139)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(complement(X_139),join(X_139,X_139))))]]) ).
cnf(refute_0_964,plain,
meet(complement(X_139),join(X_139,X_139)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(complement(X_139),join(X_139,X_139))) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
( join(X_139,X_139) != join(meet(complement(X_139),join(X_139,X_139)),meet(complement(complement(X_139)),join(X_139,X_139)))
| meet(complement(X_139),join(X_139,X_139)) != zero
| join(X_139,X_139) = join(zero,meet(complement(complement(X_139)),join(X_139,X_139))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_139,X_139),join(meet(complement(X_139),join(X_139,X_139)),meet(complement(complement(X_139)),join(X_139,X_139)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_966,plain,
( join(X_139,X_139) != join(meet(complement(X_139),join(X_139,X_139)),meet(complement(complement(X_139)),join(X_139,X_139)))
| join(X_139,X_139) = join(zero,meet(complement(complement(X_139)),join(X_139,X_139))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_139),join(X_139,X_139)),zero) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
join(X_139,X_139) = join(zero,meet(complement(complement(X_139)),join(X_139,X_139))),
inference(resolve,[$cnf( $equal(join(X_139,X_139),join(meet(complement(X_139),join(X_139,X_139)),meet(complement(complement(X_139)),join(X_139,X_139)))) )],[refute_0_206,refute_0_966]) ).
cnf(refute_0_968,plain,
X_41 = join(meet(join(complement(complement(X_41)),X_124),X_41),complement(join(complement(X_41),join(complement(complement(X_41)),X_124)))),
inference(subst,[],[refute_0_214:[bind(X_42,$fot(join(complement(complement(X_41)),X_124)))]]) ).
cnf(refute_0_969,plain,
join(X_119,join(complement(X_119),X_121)) = join(join(X_119,complement(X_119)),X_121),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_119)),bind(B,$fot(complement(X_119))),bind(C,$fot(X_121))]]) ).
cnf(refute_0_970,plain,
top = join(X_119,complement(X_119)),
inference(subst,[],[def_top_12:[bind(A,$fot(X_119))]]) ).
cnf(refute_0_971,plain,
( top != join(X_119,complement(X_119))
| join(X_119,complement(X_119)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_119,complement(X_119))))]]) ).
cnf(refute_0_972,plain,
join(X_119,complement(X_119)) = top,
inference(resolve,[$cnf( $equal(top,join(X_119,complement(X_119))) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
( join(X_119,complement(X_119)) != top
| join(X_119,join(complement(X_119),X_121)) != join(join(X_119,complement(X_119)),X_121)
| join(X_119,join(complement(X_119),X_121)) = join(top,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_119,join(complement(X_119),X_121)),join(join(X_119,complement(X_119)),X_121)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_974,plain,
( join(X_119,join(complement(X_119),X_121)) != join(join(X_119,complement(X_119)),X_121)
| join(X_119,join(complement(X_119),X_121)) = join(top,X_121) ),
inference(resolve,[$cnf( $equal(join(X_119,complement(X_119)),top) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
join(X_119,join(complement(X_119),X_121)) = join(top,X_121),
inference(resolve,[$cnf( $equal(join(X_119,join(complement(X_119),X_121)),join(join(X_119,complement(X_119)),X_121)) )],[refute_0_969,refute_0_974]) ).
cnf(refute_0_976,plain,
join(top,B) = join(meet(join(top,B),meet(zero,B)),complement(join(meet(zero,B),complement(join(top,B))))),
inference(subst,[],[refute_0_391:[bind(X_41,$fot(join(top,B))),bind(X_42,$fot(meet(zero,B)))]]) ).
cnf(refute_0_977,plain,
zero = join(meet(zero,B),complement(join(complement(zero),B))),
inference(subst,[],[refute_0_169:[bind(A,$fot(zero))]]) ).
cnf(refute_0_978,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top)))))),
inference(subst,[],[refute_0_601:[bind(X_47,$fot(complement(complement(top))))]]) ).
cnf(refute_0_979,plain,
top = join(zero,meet(top,complement(complement(top)))),
inference(subst,[],[refute_0_277:[bind(X_41,$fot(top))]]) ).
cnf(refute_0_980,plain,
( top != join(zero,meet(top,complement(complement(top))))
| join(zero,meet(top,complement(complement(top)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(complement(top))))))]]) ).
cnf(refute_0_981,plain,
join(zero,meet(top,complement(complement(top)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))
| join(zero,meet(top,complement(complement(top)))) != top
| complement(complement(top)) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$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_983,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( $equal(join(zero,meet(top,complement(complement(top)))),top) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),top)),
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))) )],[refute_0_978,refute_0_983]) ).
cnf(refute_0_985,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_986,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_987,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_985,refute_0_986]) ).
cnf(refute_0_988,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_987]) ).
cnf(refute_0_989,plain,
( complement(complement(top)) != complement(zero)
| complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) ),[0],$fot(complement(zero))]]) ).
cnf(refute_0_990,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
( complement(top) != zero
| top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) ),[1,1,1,0],$fot(zero)]]) ).
cnf(refute_0_992,plain,
( top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_991]) ).
cnf(refute_0_993,plain,
top = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_979,refute_0_992]) ).
cnf(refute_0_994,plain,
( top != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(zero)))))]]) ).
cnf(refute_0_995,plain,
join(zero,meet(top,complement(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
meet(top,complement(complement(top))) = meet(top,complement(complement(top))),
introduced(tautology,[refl,[$fot(meet(top,complement(complement(top))))]]) ).
cnf(refute_0_997,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_998,plain,
( complement(complement(top)) != complement(zero)
| meet(top,complement(complement(top))) = meet(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(complement(top)))) )],[refute_0_996,refute_0_997]) ).
cnf(refute_0_999,plain,
meet(top,complement(complement(top))) = meet(top,complement(zero)),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_988,refute_0_998]) ).
cnf(refute_0_1000,plain,
meet(complement(complement(top)),top) = meet(top,complement(complement(top))),
inference(subst,[],[refute_0_652:[bind(A,$fot(complement(complement(top))))]]) ).
cnf(refute_0_1001,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_131:[bind(X,$fot(meet(complement(complement(top)),top))),bind(Y,$fot(meet(top,complement(complement(top))))),bind(Z,$fot(meet(top,complement(zero))))]]) ).
cnf(refute_0_1002,plain,
( meet(top,complement(complement(top))) != meet(top,complement(zero))
| meet(complement(complement(top)),top) = meet(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),meet(top,complement(complement(top)))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
meet(complement(complement(top)),top) = meet(top,complement(zero)),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(zero))) )],[refute_0_999,refute_0_1002]) ).
cnf(refute_0_1004,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,meet(complement(complement(top)),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_0_1005,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_1006,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( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(complement(complement(top)),top))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),meet(top,complement(zero))) )],[refute_0_1003,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( join(zero,meet(complement(complement(top)),top)) != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,meet(complement(complement(top)),top)))),bind(Y,$fot(join(zero,meet(top,complement(zero))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1009,plain,
( join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(top,complement(zero)))) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
join(zero,meet(complement(complement(top)),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),top) )],[refute_0_995,refute_0_1009]) ).
cnf(refute_0_1011,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| join(zero,meet(complement(complement(top)),top)) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_0_1012,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),top) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(complement(zero),join(zero,meet(complement(complement(top)),top))) )],[refute_0_990,refute_0_1012]) ).
cnf(refute_0_1014,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) )],[refute_0_984,refute_0_1013]) ).
cnf(refute_0_1015,plain,
( complement(zero) != top
| zero != join(meet(zero,B),complement(join(complement(zero),B)))
| zero = join(meet(zero,B),complement(join(top,B))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,B),complement(join(complement(zero),B)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_1016,plain,
( zero != join(meet(zero,B),complement(join(complement(zero),B)))
| zero = join(meet(zero,B),complement(join(top,B))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
zero = join(meet(zero,B),complement(join(top,B))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,B),complement(join(complement(zero),B)))) )],[refute_0_977,refute_0_1016]) ).
cnf(refute_0_1018,plain,
( zero != join(meet(zero,B),complement(join(top,B)))
| join(meet(zero,B),complement(join(top,B))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(join(meet(zero,B),complement(join(top,B)))))]]) ).
cnf(refute_0_1019,plain,
join(meet(zero,B),complement(join(top,B))) = zero,
inference(resolve,[$cnf( $equal(zero,join(meet(zero,B),complement(join(top,B)))) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
( join(meet(zero,B),complement(join(top,B))) != zero
| join(top,B) != join(meet(join(top,B),meet(zero,B)),complement(join(meet(zero,B),complement(join(top,B)))))
| join(top,B) = join(meet(join(top,B),meet(zero,B)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,B),join(meet(join(top,B),meet(zero,B)),complement(join(meet(zero,B),complement(join(top,B)))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_1021,plain,
( join(top,B) != join(meet(join(top,B),meet(zero,B)),complement(join(meet(zero,B),complement(join(top,B)))))
| join(top,B) = join(meet(join(top,B),meet(zero,B)),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,B),complement(join(top,B))),zero) )],[refute_0_1019,refute_0_1020]) ).
cnf(refute_0_1022,plain,
join(top,B) = join(meet(join(top,B),meet(zero,B)),complement(zero)),
inference(resolve,[$cnf( $equal(join(top,B),join(meet(join(top,B),meet(zero,B)),complement(join(meet(zero,B),complement(join(top,B)))))) )],[refute_0_976,refute_0_1021]) ).
cnf(refute_0_1023,plain,
join(complement(zero),meet(join(top,B),meet(zero,B))) = join(complement(zero),meet(join(top,B),meet(zero,B))),
introduced(tautology,[refl,[$fot(join(complement(zero),meet(join(top,B),meet(zero,B))))]]) ).
cnf(refute_0_1024,plain,
( complement(zero) != top
| join(complement(zero),meet(join(top,B),meet(zero,B))) != join(complement(zero),meet(join(top,B),meet(zero,B)))
| join(complement(zero),meet(join(top,B),meet(zero,B))) = join(top,meet(join(top,B),meet(zero,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(join(top,B),meet(zero,B))),join(complement(zero),meet(join(top,B),meet(zero,B)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1025,plain,
( complement(zero) != top
| join(complement(zero),meet(join(top,B),meet(zero,B))) = join(top,meet(join(top,B),meet(zero,B))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(top,B),meet(zero,B))),join(complement(zero),meet(join(top,B),meet(zero,B)))) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
join(complement(zero),meet(join(top,B),meet(zero,B))) = join(top,meet(join(top,B),meet(zero,B))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1014,refute_0_1025]) ).
cnf(refute_0_1027,plain,
join(meet(join(top,B),meet(zero,B)),complement(zero)) = join(complement(zero),meet(join(top,B),meet(zero,B))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(zero))),bind(B,$fot(meet(join(top,B),meet(zero,B))))]]) ).
cnf(refute_0_1028,plain,
( join(complement(zero),meet(join(top,B),meet(zero,B))) != join(top,meet(join(top,B),meet(zero,B)))
| join(meet(join(top,B),meet(zero,B)),complement(zero)) != join(complement(zero),meet(join(top,B),meet(zero,B)))
| join(meet(join(top,B),meet(zero,B)),complement(zero)) = join(top,meet(join(top,B),meet(zero,B))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(join(top,B),meet(zero,B)),complement(zero)))),bind(Y,$fot(join(complement(zero),meet(join(top,B),meet(zero,B))))),bind(Z,$fot(join(top,meet(join(top,B),meet(zero,B)))))]]) ).
cnf(refute_0_1029,plain,
( join(complement(zero),meet(join(top,B),meet(zero,B))) != join(top,meet(join(top,B),meet(zero,B)))
| join(meet(join(top,B),meet(zero,B)),complement(zero)) = join(top,meet(join(top,B),meet(zero,B))) ),
inference(resolve,[$cnf( $equal(join(meet(join(top,B),meet(zero,B)),complement(zero)),join(complement(zero),meet(join(top,B),meet(zero,B)))) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
join(meet(join(top,B),meet(zero,B)),complement(zero)) = join(top,meet(join(top,B),meet(zero,B))),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(top,B),meet(zero,B))),join(top,meet(join(top,B),meet(zero,B)))) )],[refute_0_1026,refute_0_1029]) ).
cnf(refute_0_1031,plain,
( join(meet(join(top,B),meet(zero,B)),complement(zero)) != join(top,meet(join(top,B),meet(zero,B)))
| join(top,B) != join(meet(join(top,B),meet(zero,B)),complement(zero))
| join(top,B) = join(top,meet(join(top,B),meet(zero,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,B),join(meet(join(top,B),meet(zero,B)),complement(zero))) ),[1],$fot(join(top,meet(join(top,B),meet(zero,B))))]]) ).
cnf(refute_0_1032,plain,
( join(top,B) != join(meet(join(top,B),meet(zero,B)),complement(zero))
| join(top,B) = join(top,meet(join(top,B),meet(zero,B))) ),
inference(resolve,[$cnf( $equal(join(meet(join(top,B),meet(zero,B)),complement(zero)),join(top,meet(join(top,B),meet(zero,B)))) )],[refute_0_1030,refute_0_1031]) ).
cnf(refute_0_1033,plain,
join(top,B) = join(top,meet(join(top,B),meet(zero,B))),
inference(resolve,[$cnf( $equal(join(top,B),join(meet(join(top,B),meet(zero,B)),complement(zero))) )],[refute_0_1022,refute_0_1032]) ).
cnf(refute_0_1034,plain,
X_41 = join(meet(X_41,X_41),complement(join(complement(X_41),X_41))),
inference(subst,[],[refute_0_214:[bind(X_42,$fot(X_41))]]) ).
cnf(refute_0_1035,plain,
join(zero,X_41) = X_41,
inference(subst,[],[refute_0_871:[bind(X_45,$fot(X_41))]]) ).
cnf(refute_0_1036,plain,
meet(X_41,join(zero,X_41)) = meet(X_41,join(zero,X_41)),
introduced(tautology,[refl,[$fot(meet(X_41,join(zero,X_41)))]]) ).
cnf(refute_0_1037,plain,
( join(zero,X_41) != X_41
| meet(X_41,join(zero,X_41)) != meet(X_41,join(zero,X_41))
| meet(X_41,join(zero,X_41)) = meet(X_41,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_41,join(zero,X_41)),meet(X_41,join(zero,X_41))) ),[1,1],$fot(X_41)]]) ).
cnf(refute_0_1038,plain,
( join(zero,X_41) != X_41
| meet(X_41,join(zero,X_41)) = meet(X_41,X_41) ),
inference(resolve,[$cnf( $equal(meet(X_41,join(zero,X_41)),meet(X_41,join(zero,X_41))) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
meet(X_41,join(zero,X_41)) = meet(X_41,X_41),
inference(resolve,[$cnf( $equal(join(zero,X_41),X_41) )],[refute_0_1035,refute_0_1038]) ).
cnf(refute_0_1040,plain,
join(zero,meet(X_41,join(zero,X_41))) = meet(X_41,join(zero,X_41)),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(X_41,join(zero,X_41))))]]) ).
cnf(refute_0_1041,plain,
( join(zero,meet(X_41,join(zero,X_41))) != meet(X_41,join(zero,X_41))
| meet(X_41,join(zero,X_41)) != meet(X_41,X_41)
| join(zero,meet(X_41,join(zero,X_41))) = meet(X_41,X_41) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,meet(X_41,join(zero,X_41))))),bind(Y,$fot(meet(X_41,join(zero,X_41)))),bind(Z,$fot(meet(X_41,X_41)))]]) ).
cnf(refute_0_1042,plain,
( meet(X_41,join(zero,X_41)) != meet(X_41,X_41)
| join(zero,meet(X_41,join(zero,X_41))) = meet(X_41,X_41) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_41,join(zero,X_41))),meet(X_41,join(zero,X_41))) )],[refute_0_1040,refute_0_1041]) ).
cnf(refute_0_1043,plain,
join(zero,meet(X_41,join(zero,X_41))) = meet(X_41,X_41),
inference(resolve,[$cnf( $equal(meet(X_41,join(zero,X_41)),meet(X_41,X_41)) )],[refute_0_1039,refute_0_1042]) ).
cnf(refute_0_1044,plain,
( X_41 != join(zero,meet(X_41,join(zero,X_41)))
| join(zero,meet(X_41,join(zero,X_41))) != meet(X_41,X_41)
| X_41 = meet(X_41,X_41) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,meet(X_41,X_41)) ),[0],$fot(join(zero,meet(X_41,join(zero,X_41))))]]) ).
cnf(refute_0_1045,plain,
( X_41 != join(zero,meet(X_41,join(zero,X_41)))
| X_41 = meet(X_41,X_41) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_41,join(zero,X_41))),meet(X_41,X_41)) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
X_41 = meet(X_41,X_41),
inference(resolve,[$cnf( $equal(X_41,join(zero,meet(X_41,join(zero,X_41)))) )],[refute_0_849,refute_0_1045]) ).
cnf(refute_0_1047,plain,
( X_41 != meet(X_41,X_41)
| meet(X_41,X_41) = X_41 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_41)),bind(Y,$fot(meet(X_41,X_41)))]]) ).
cnf(refute_0_1048,plain,
meet(X_41,X_41) = X_41,
inference(resolve,[$cnf( $equal(X_41,meet(X_41,X_41)) )],[refute_0_1046,refute_0_1047]) ).
cnf(refute_0_1049,plain,
( X_41 != join(meet(X_41,X_41),complement(join(complement(X_41),X_41)))
| meet(X_41,X_41) != X_41
| X_41 = join(X_41,complement(join(complement(X_41),X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,X_41),complement(join(complement(X_41),X_41)))) ),[1,0],$fot(X_41)]]) ).
cnf(refute_0_1050,plain,
( X_41 != join(meet(X_41,X_41),complement(join(complement(X_41),X_41)))
| X_41 = join(X_41,complement(join(complement(X_41),X_41))) ),
inference(resolve,[$cnf( $equal(meet(X_41,X_41),X_41) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
X_41 = join(X_41,complement(join(complement(X_41),X_41))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,X_41),complement(join(complement(X_41),X_41)))) )],[refute_0_1034,refute_0_1050]) ).
cnf(refute_0_1052,plain,
join(X_41,complement(X_41)) = top,
inference(subst,[],[refute_0_248:[bind(A,$fot(X_41))]]) ).
cnf(refute_0_1053,plain,
join(complement(X_41),X_41) = join(X_41,complement(X_41)),
inference(subst,[],[refute_0_53:[bind(A,$fot(X_41)),bind(B,$fot(complement(X_41)))]]) ).
cnf(refute_0_1054,plain,
( join(X_41,complement(X_41)) != top
| join(complement(X_41),X_41) != join(X_41,complement(X_41))
| join(complement(X_41),X_41) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(X_41),X_41))),bind(Y,$fot(join(X_41,complement(X_41)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1055,plain,
( join(X_41,complement(X_41)) != top
| join(complement(X_41),X_41) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_41),X_41),join(X_41,complement(X_41))) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
join(complement(X_41),X_41) = top,
inference(resolve,[$cnf( $equal(join(X_41,complement(X_41)),top) )],[refute_0_1052,refute_0_1055]) ).
cnf(refute_0_1057,plain,
complement(join(complement(X_41),X_41)) = complement(join(complement(X_41),X_41)),
introduced(tautology,[refl,[$fot(complement(join(complement(X_41),X_41)))]]) ).
cnf(refute_0_1058,plain,
( complement(join(complement(X_41),X_41)) != complement(join(complement(X_41),X_41))
| join(complement(X_41),X_41) != top
| complement(join(complement(X_41),X_41)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_41),X_41)),complement(join(complement(X_41),X_41))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1059,plain,
( join(complement(X_41),X_41) != top
| complement(join(complement(X_41),X_41)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_41),X_41)),complement(join(complement(X_41),X_41))) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
complement(join(complement(X_41),X_41)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(X_41),X_41),top) )],[refute_0_1056,refute_0_1059]) ).
cnf(refute_0_1061,plain,
( complement(join(complement(X_41),X_41)) != complement(top)
| complement(top) != zero
| complement(join(complement(X_41),X_41)) = zero ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(join(complement(X_41),X_41)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1062,plain,
( complement(top) != zero
| complement(join(complement(X_41),X_41)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_41),X_41)),complement(top)) )],[refute_0_1060,refute_0_1061]) ).
cnf(refute_0_1063,plain,
complement(join(complement(X_41),X_41)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_1062]) ).
cnf(refute_0_1064,plain,
join(X_41,complement(join(complement(X_41),X_41))) = join(X_41,complement(join(complement(X_41),X_41))),
introduced(tautology,[refl,[$fot(join(X_41,complement(join(complement(X_41),X_41))))]]) ).
cnf(refute_0_1065,plain,
( complement(join(complement(X_41),X_41)) != zero
| join(X_41,complement(join(complement(X_41),X_41))) != join(X_41,complement(join(complement(X_41),X_41)))
| join(X_41,complement(join(complement(X_41),X_41))) = join(X_41,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_41,complement(join(complement(X_41),X_41))),join(X_41,complement(join(complement(X_41),X_41)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1066,plain,
( complement(join(complement(X_41),X_41)) != zero
| join(X_41,complement(join(complement(X_41),X_41))) = join(X_41,zero) ),
inference(resolve,[$cnf( $equal(join(X_41,complement(join(complement(X_41),X_41))),join(X_41,complement(join(complement(X_41),X_41)))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
join(X_41,complement(join(complement(X_41),X_41))) = join(X_41,zero),
inference(resolve,[$cnf( $equal(complement(join(complement(X_41),X_41)),zero) )],[refute_0_1063,refute_0_1066]) ).
cnf(refute_0_1068,plain,
( X_41 != join(X_41,complement(join(complement(X_41),X_41)))
| join(X_41,complement(join(complement(X_41),X_41))) != join(X_41,zero)
| X_41 = join(X_41,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,join(X_41,zero)) ),[0],$fot(join(X_41,complement(join(complement(X_41),X_41))))]]) ).
cnf(refute_0_1069,plain,
( X_41 != join(X_41,complement(join(complement(X_41),X_41)))
| X_41 = join(X_41,zero) ),
inference(resolve,[$cnf( $equal(join(X_41,complement(join(complement(X_41),X_41))),join(X_41,zero)) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
X_41 = join(X_41,zero),
inference(resolve,[$cnf( $equal(X_41,join(X_41,complement(join(complement(X_41),X_41)))) )],[refute_0_1051,refute_0_1069]) ).
cnf(refute_0_1071,plain,
( X_41 != join(X_41,zero)
| join(X_41,zero) = X_41 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_41)),bind(Y,$fot(join(X_41,zero)))]]) ).
cnf(refute_0_1072,plain,
join(X_41,zero) = X_41,
inference(resolve,[$cnf( $equal(X_41,join(X_41,zero)) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
join(top,zero) = top,
inference(subst,[],[refute_0_1072:[bind(X_41,$fot(top))]]) ).
cnf(refute_0_1074,plain,
zero = join(meet(zero,X_63),complement(join(top,X_63))),
inference(subst,[],[refute_0_1017:[bind(B,$fot(X_63))]]) ).
cnf(refute_0_1075,plain,
meet(X_63,zero) = meet(zero,X_63),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(X_63)),bind(X_16,$fot(zero))]]) ).
cnf(refute_0_1076,plain,
( meet(X_63,zero) != meet(zero,X_63)
| meet(zero,X_63) = meet(X_63,zero) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_63,zero))),bind(Y,$fot(meet(zero,X_63)))]]) ).
cnf(refute_0_1077,plain,
meet(zero,X_63) = meet(X_63,zero),
inference(resolve,[$cnf( $equal(meet(X_63,zero),meet(zero,X_63)) )],[refute_0_1075,refute_0_1076]) ).
cnf(refute_0_1078,plain,
( meet(zero,X_63) != meet(X_63,zero)
| zero != join(meet(zero,X_63),complement(join(top,X_63)))
| zero = join(meet(X_63,zero),complement(join(top,X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_63),complement(join(top,X_63)))) ),[1,0],$fot(meet(X_63,zero))]]) ).
cnf(refute_0_1079,plain,
( zero != join(meet(zero,X_63),complement(join(top,X_63)))
| zero = join(meet(X_63,zero),complement(join(top,X_63))) ),
inference(resolve,[$cnf( $equal(meet(zero,X_63),meet(X_63,zero)) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
zero = join(meet(X_63,zero),complement(join(top,X_63))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_63),complement(join(top,X_63)))) )],[refute_0_1074,refute_0_1079]) ).
cnf(refute_0_1081,plain,
join(meet(X_63,zero),zero) = meet(X_63,zero),
inference(subst,[],[refute_0_1072:[bind(X_41,$fot(meet(X_63,zero)))]]) ).
cnf(refute_0_1082,plain,
join(zero,complement(join(top,B))) = complement(join(top,B)),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(complement(join(top,B))))]]) ).
cnf(refute_0_1083,plain,
join(X_63,top) = join(top,X_63),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_63)),bind(B,$fot(top))]]) ).
cnf(refute_0_1084,plain,
( join(X_63,top) != join(top,X_63)
| join(top,X_63) = join(X_63,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_63,top))),bind(Y,$fot(join(top,X_63)))]]) ).
cnf(refute_0_1085,plain,
join(top,X_63) = join(X_63,top),
inference(resolve,[$cnf( $equal(join(X_63,top),join(top,X_63)) )],[refute_0_1083,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( join(top,X_63) != join(X_63,top)
| zero != join(meet(zero,X_63),complement(join(top,X_63)))
| zero = join(meet(zero,X_63),complement(join(X_63,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_63),complement(join(top,X_63)))) ),[1,1,0],$fot(join(X_63,top))]]) ).
cnf(refute_0_1087,plain,
( zero != join(meet(zero,X_63),complement(join(top,X_63)))
| zero = join(meet(zero,X_63),complement(join(X_63,top))) ),
inference(resolve,[$cnf( $equal(join(top,X_63),join(X_63,top)) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
zero = join(meet(zero,X_63),complement(join(X_63,top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_63),complement(join(top,X_63)))) )],[refute_0_1074,refute_0_1087]) ).
cnf(refute_0_1089,plain,
join(meet(zero,X_63),zero) = meet(zero,X_63),
inference(subst,[],[refute_0_1072:[bind(X_41,$fot(meet(zero,X_63)))]]) ).
cnf(refute_0_1090,plain,
top = join(join(X_100,X_100),complement(join(X_100,X_100))),
inference(subst,[],[def_top_12:[bind(A,$fot(join(X_100,X_100)))]]) ).
cnf(refute_0_1091,plain,
( complement(join(X_100,X_100)) != complement(X_100)
| top != join(join(X_100,X_100),complement(join(X_100,X_100)))
| top = join(join(X_100,X_100),complement(X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_100,X_100),complement(join(X_100,X_100)))) ),[1,1],$fot(complement(X_100))]]) ).
cnf(refute_0_1092,plain,
( top != join(join(X_100,X_100),complement(join(X_100,X_100)))
| top = join(join(X_100,X_100),complement(X_100)) ),
inference(resolve,[$cnf( $equal(complement(join(X_100,X_100)),complement(X_100)) )],[refute_0_954,refute_0_1091]) ).
cnf(refute_0_1093,plain,
top = join(join(X_100,X_100),complement(X_100)),
inference(resolve,[$cnf( $equal(top,join(join(X_100,X_100),complement(join(X_100,X_100)))) )],[refute_0_1090,refute_0_1092]) ).
cnf(refute_0_1094,plain,
join(X_100,complement(X_100)) = top,
inference(subst,[],[refute_0_248:[bind(A,$fot(X_100))]]) ).
cnf(refute_0_1095,plain,
join(X_100,join(X_100,complement(X_100))) = join(X_100,join(X_100,complement(X_100))),
introduced(tautology,[refl,[$fot(join(X_100,join(X_100,complement(X_100))))]]) ).
cnf(refute_0_1096,plain,
( join(X_100,complement(X_100)) != top
| join(X_100,join(X_100,complement(X_100))) != join(X_100,join(X_100,complement(X_100)))
| join(X_100,join(X_100,complement(X_100))) = join(X_100,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_100,join(X_100,complement(X_100))),join(X_100,join(X_100,complement(X_100)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1097,plain,
( join(X_100,complement(X_100)) != top
| join(X_100,join(X_100,complement(X_100))) = join(X_100,top) ),
inference(resolve,[$cnf( $equal(join(X_100,join(X_100,complement(X_100))),join(X_100,join(X_100,complement(X_100)))) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
join(X_100,join(X_100,complement(X_100))) = join(X_100,top),
inference(resolve,[$cnf( $equal(join(X_100,complement(X_100)),top) )],[refute_0_1094,refute_0_1097]) ).
cnf(refute_0_1099,plain,
join(join(X_100,X_100),complement(X_100)) = join(X_100,join(X_100,complement(X_100))),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_100)),bind(B,$fot(X_100)),bind(C,$fot(complement(X_100)))]]) ).
cnf(refute_0_1100,plain,
( join(X_100,join(X_100,complement(X_100))) != join(X_100,top)
| join(join(X_100,X_100),complement(X_100)) != join(X_100,join(X_100,complement(X_100)))
| join(join(X_100,X_100),complement(X_100)) = join(X_100,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(X_100,X_100),complement(X_100)))),bind(Y,$fot(join(X_100,join(X_100,complement(X_100))))),bind(Z,$fot(join(X_100,top)))]]) ).
cnf(refute_0_1101,plain,
( join(X_100,join(X_100,complement(X_100))) != join(X_100,top)
| join(join(X_100,X_100),complement(X_100)) = join(X_100,top) ),
inference(resolve,[$cnf( $equal(join(join(X_100,X_100),complement(X_100)),join(X_100,join(X_100,complement(X_100)))) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
join(join(X_100,X_100),complement(X_100)) = join(X_100,top),
inference(resolve,[$cnf( $equal(join(X_100,join(X_100,complement(X_100))),join(X_100,top)) )],[refute_0_1098,refute_0_1101]) ).
cnf(refute_0_1103,plain,
( join(join(X_100,X_100),complement(X_100)) != join(X_100,top)
| top != join(join(X_100,X_100),complement(X_100))
| top = join(X_100,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_100,X_100),complement(X_100))) ),[1],$fot(join(X_100,top))]]) ).
cnf(refute_0_1104,plain,
( top != join(join(X_100,X_100),complement(X_100))
| top = join(X_100,top) ),
inference(resolve,[$cnf( $equal(join(join(X_100,X_100),complement(X_100)),join(X_100,top)) )],[refute_0_1102,refute_0_1103]) ).
cnf(refute_0_1105,plain,
top = join(X_100,top),
inference(resolve,[$cnf( $equal(top,join(join(X_100,X_100),complement(X_100))) )],[refute_0_1093,refute_0_1104]) ).
cnf(refute_0_1106,plain,
( top != join(X_100,top)
| join(X_100,top) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_100,top)))]]) ).
cnf(refute_0_1107,plain,
join(X_100,top) = top,
inference(resolve,[$cnf( $equal(top,join(X_100,top)) )],[refute_0_1105,refute_0_1106]) ).
cnf(refute_0_1108,plain,
join(X_63,top) = top,
inference(subst,[],[refute_0_1107:[bind(X_100,$fot(X_63))]]) ).
cnf(refute_0_1109,plain,
complement(join(X_63,top)) = complement(join(X_63,top)),
introduced(tautology,[refl,[$fot(complement(join(X_63,top)))]]) ).
cnf(refute_0_1110,plain,
( complement(join(X_63,top)) != complement(join(X_63,top))
| join(X_63,top) != top
| complement(join(X_63,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_63,top)),complement(join(X_63,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1111,plain,
( join(X_63,top) != top
| complement(join(X_63,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(X_63,top)),complement(join(X_63,top))) )],[refute_0_1109,refute_0_1110]) ).
cnf(refute_0_1112,plain,
complement(join(X_63,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(X_63,top),top) )],[refute_0_1108,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( complement(join(X_63,top)) != complement(top)
| complement(top) != zero
| complement(join(X_63,top)) = zero ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(join(X_63,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1114,plain,
( complement(top) != zero
| complement(join(X_63,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(X_63,top)),complement(top)) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
complement(join(X_63,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_1114]) ).
cnf(refute_0_1116,plain,
join(meet(zero,X_63),complement(join(X_63,top))) = join(meet(zero,X_63),complement(join(X_63,top))),
introduced(tautology,[refl,[$fot(join(meet(zero,X_63),complement(join(X_63,top))))]]) ).
cnf(refute_0_1117,plain,
( complement(join(X_63,top)) != zero
| join(meet(zero,X_63),complement(join(X_63,top))) != join(meet(zero,X_63),complement(join(X_63,top)))
| join(meet(zero,X_63),complement(join(X_63,top))) = join(meet(zero,X_63),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X_63),complement(join(X_63,top))),join(meet(zero,X_63),complement(join(X_63,top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1118,plain,
( complement(join(X_63,top)) != zero
| join(meet(zero,X_63),complement(join(X_63,top))) = join(meet(zero,X_63),zero) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_63),complement(join(X_63,top))),join(meet(zero,X_63),complement(join(X_63,top)))) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
join(meet(zero,X_63),complement(join(X_63,top))) = join(meet(zero,X_63),zero),
inference(resolve,[$cnf( $equal(complement(join(X_63,top)),zero) )],[refute_0_1115,refute_0_1118]) ).
cnf(refute_0_1120,plain,
( join(meet(zero,X_63),complement(join(X_63,top))) != join(meet(zero,X_63),zero)
| join(meet(zero,X_63),zero) != meet(zero,X_63)
| join(meet(zero,X_63),complement(join(X_63,top))) = meet(zero,X_63) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(zero,X_63),complement(join(X_63,top))))),bind(Y,$fot(join(meet(zero,X_63),zero))),bind(Z,$fot(meet(zero,X_63)))]]) ).
cnf(refute_0_1121,plain,
( join(meet(zero,X_63),zero) != meet(zero,X_63)
| join(meet(zero,X_63),complement(join(X_63,top))) = meet(zero,X_63) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_63),complement(join(X_63,top))),join(meet(zero,X_63),zero)) )],[refute_0_1119,refute_0_1120]) ).
cnf(refute_0_1122,plain,
join(meet(zero,X_63),complement(join(X_63,top))) = meet(zero,X_63),
inference(resolve,[$cnf( $equal(join(meet(zero,X_63),zero),meet(zero,X_63)) )],[refute_0_1089,refute_0_1121]) ).
cnf(refute_0_1123,plain,
( join(meet(zero,X_63),complement(join(X_63,top))) != meet(zero,X_63)
| zero != join(meet(zero,X_63),complement(join(X_63,top)))
| zero = meet(zero,X_63) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_63),complement(join(X_63,top)))) ),[1],$fot(meet(zero,X_63))]]) ).
cnf(refute_0_1124,plain,
( zero != join(meet(zero,X_63),complement(join(X_63,top)))
| zero = meet(zero,X_63) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_63),complement(join(X_63,top))),meet(zero,X_63)) )],[refute_0_1122,refute_0_1123]) ).
cnf(refute_0_1125,plain,
zero = meet(zero,X_63),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_63),complement(join(X_63,top)))) )],[refute_0_1088,refute_0_1124]) ).
cnf(refute_0_1126,plain,
( zero != meet(zero,X_63)
| meet(zero,X_63) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,X_63)))]]) ).
cnf(refute_0_1127,plain,
meet(zero,X_63) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,X_63)) )],[refute_0_1125,refute_0_1126]) ).
cnf(refute_0_1128,plain,
meet(zero,B) = zero,
inference(subst,[],[refute_0_1127:[bind(X_63,$fot(B))]]) ).
cnf(refute_0_1129,plain,
join(meet(zero,B),complement(join(top,B))) = join(meet(zero,B),complement(join(top,B))),
introduced(tautology,[refl,[$fot(join(meet(zero,B),complement(join(top,B))))]]) ).
cnf(refute_0_1130,plain,
( join(meet(zero,B),complement(join(top,B))) != join(meet(zero,B),complement(join(top,B)))
| meet(zero,B) != zero
| join(meet(zero,B),complement(join(top,B))) = join(zero,complement(join(top,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,B),complement(join(top,B))),join(meet(zero,B),complement(join(top,B)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1131,plain,
( meet(zero,B) != zero
| join(meet(zero,B),complement(join(top,B))) = join(zero,complement(join(top,B))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,B),complement(join(top,B))),join(meet(zero,B),complement(join(top,B)))) )],[refute_0_1129,refute_0_1130]) ).
cnf(refute_0_1132,plain,
join(meet(zero,B),complement(join(top,B))) = join(zero,complement(join(top,B))),
inference(resolve,[$cnf( $equal(meet(zero,B),zero) )],[refute_0_1128,refute_0_1131]) ).
cnf(refute_0_1133,plain,
( join(meet(zero,B),complement(join(top,B))) != join(zero,complement(join(top,B)))
| join(zero,complement(join(top,B))) != complement(join(top,B))
| join(meet(zero,B),complement(join(top,B))) = complement(join(top,B)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(zero,B),complement(join(top,B))))),bind(Y,$fot(join(zero,complement(join(top,B))))),bind(Z,$fot(complement(join(top,B))))]]) ).
cnf(refute_0_1134,plain,
( join(zero,complement(join(top,B))) != complement(join(top,B))
| join(meet(zero,B),complement(join(top,B))) = complement(join(top,B)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,B),complement(join(top,B))),join(zero,complement(join(top,B)))) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
join(meet(zero,B),complement(join(top,B))) = complement(join(top,B)),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,B))),complement(join(top,B))) )],[refute_0_1082,refute_0_1134]) ).
cnf(refute_0_1136,plain,
( join(meet(zero,B),complement(join(top,B))) != complement(join(top,B))
| zero != join(meet(zero,B),complement(join(top,B)))
| zero = complement(join(top,B)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,B),complement(join(top,B)))) ),[1],$fot(complement(join(top,B)))]]) ).
cnf(refute_0_1137,plain,
( zero != join(meet(zero,B),complement(join(top,B)))
| zero = complement(join(top,B)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,B),complement(join(top,B))),complement(join(top,B))) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
zero = complement(join(top,B)),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,B),complement(join(top,B)))) )],[refute_0_1017,refute_0_1137]) ).
cnf(refute_0_1139,plain,
( zero != complement(join(top,B))
| complement(join(top,B)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(complement(join(top,B))))]]) ).
cnf(refute_0_1140,plain,
complement(join(top,B)) = zero,
inference(resolve,[$cnf( $equal(zero,complement(join(top,B))) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
complement(join(top,X_63)) = zero,
inference(subst,[],[refute_0_1140:[bind(B,$fot(X_63))]]) ).
cnf(refute_0_1142,plain,
join(meet(X_63,zero),complement(join(top,X_63))) = join(meet(X_63,zero),complement(join(top,X_63))),
introduced(tautology,[refl,[$fot(join(meet(X_63,zero),complement(join(top,X_63))))]]) ).
cnf(refute_0_1143,plain,
( complement(join(top,X_63)) != zero
| join(meet(X_63,zero),complement(join(top,X_63))) != join(meet(X_63,zero),complement(join(top,X_63)))
| join(meet(X_63,zero),complement(join(top,X_63))) = join(meet(X_63,zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_63,zero),complement(join(top,X_63))),join(meet(X_63,zero),complement(join(top,X_63)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1144,plain,
( complement(join(top,X_63)) != zero
| join(meet(X_63,zero),complement(join(top,X_63))) = join(meet(X_63,zero),zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_63,zero),complement(join(top,X_63))),join(meet(X_63,zero),complement(join(top,X_63)))) )],[refute_0_1142,refute_0_1143]) ).
cnf(refute_0_1145,plain,
join(meet(X_63,zero),complement(join(top,X_63))) = join(meet(X_63,zero),zero),
inference(resolve,[$cnf( $equal(complement(join(top,X_63)),zero) )],[refute_0_1141,refute_0_1144]) ).
cnf(refute_0_1146,plain,
( join(meet(X_63,zero),complement(join(top,X_63))) != join(meet(X_63,zero),zero)
| join(meet(X_63,zero),zero) != meet(X_63,zero)
| join(meet(X_63,zero),complement(join(top,X_63))) = meet(X_63,zero) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_63,zero),complement(join(top,X_63))))),bind(Y,$fot(join(meet(X_63,zero),zero))),bind(Z,$fot(meet(X_63,zero)))]]) ).
cnf(refute_0_1147,plain,
( join(meet(X_63,zero),zero) != meet(X_63,zero)
| join(meet(X_63,zero),complement(join(top,X_63))) = meet(X_63,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_63,zero),complement(join(top,X_63))),join(meet(X_63,zero),zero)) )],[refute_0_1145,refute_0_1146]) ).
cnf(refute_0_1148,plain,
join(meet(X_63,zero),complement(join(top,X_63))) = meet(X_63,zero),
inference(resolve,[$cnf( $equal(join(meet(X_63,zero),zero),meet(X_63,zero)) )],[refute_0_1081,refute_0_1147]) ).
cnf(refute_0_1149,plain,
( join(meet(X_63,zero),complement(join(top,X_63))) != meet(X_63,zero)
| zero != join(meet(X_63,zero),complement(join(top,X_63)))
| zero = meet(X_63,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(X_63,zero),complement(join(top,X_63)))) ),[1],$fot(meet(X_63,zero))]]) ).
cnf(refute_0_1150,plain,
( zero != join(meet(X_63,zero),complement(join(top,X_63)))
| zero = meet(X_63,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_63,zero),complement(join(top,X_63))),meet(X_63,zero)) )],[refute_0_1148,refute_0_1149]) ).
cnf(refute_0_1151,plain,
zero = meet(X_63,zero),
inference(resolve,[$cnf( $equal(zero,join(meet(X_63,zero),complement(join(top,X_63)))) )],[refute_0_1080,refute_0_1150]) ).
cnf(refute_0_1152,plain,
( zero != meet(X_63,zero)
| meet(X_63,zero) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_63,zero)))]]) ).
cnf(refute_0_1153,plain,
meet(X_63,zero) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_63,zero)) )],[refute_0_1151,refute_0_1152]) ).
cnf(refute_0_1154,plain,
meet(join(top,B),zero) = zero,
inference(subst,[],[refute_0_1153:[bind(X_63,$fot(join(top,B)))]]) ).
cnf(refute_0_1155,plain,
meet(join(top,B),meet(zero,B)) = meet(join(top,B),meet(zero,B)),
introduced(tautology,[refl,[$fot(meet(join(top,B),meet(zero,B)))]]) ).
cnf(refute_0_1156,plain,
( meet(join(top,B),meet(zero,B)) != meet(join(top,B),meet(zero,B))
| meet(zero,B) != zero
| meet(join(top,B),meet(zero,B)) = meet(join(top,B),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(top,B),meet(zero,B)),meet(join(top,B),meet(zero,B))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1157,plain,
( meet(zero,B) != zero
| meet(join(top,B),meet(zero,B)) = meet(join(top,B),zero) ),
inference(resolve,[$cnf( $equal(meet(join(top,B),meet(zero,B)),meet(join(top,B),meet(zero,B))) )],[refute_0_1155,refute_0_1156]) ).
cnf(refute_0_1158,plain,
meet(join(top,B),meet(zero,B)) = meet(join(top,B),zero),
inference(resolve,[$cnf( $equal(meet(zero,B),zero) )],[refute_0_1128,refute_0_1157]) ).
cnf(refute_0_1159,plain,
( meet(join(top,B),meet(zero,B)) != meet(join(top,B),zero)
| meet(join(top,B),zero) != zero
| meet(join(top,B),meet(zero,B)) = zero ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(top,B),meet(zero,B)))),bind(Y,$fot(meet(join(top,B),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1160,plain,
( meet(join(top,B),zero) != zero
| meet(join(top,B),meet(zero,B)) = zero ),
inference(resolve,[$cnf( $equal(meet(join(top,B),meet(zero,B)),meet(join(top,B),zero)) )],[refute_0_1158,refute_0_1159]) ).
cnf(refute_0_1161,plain,
meet(join(top,B),meet(zero,B)) = zero,
inference(resolve,[$cnf( $equal(meet(join(top,B),zero),zero) )],[refute_0_1154,refute_0_1160]) ).
cnf(refute_0_1162,plain,
join(top,meet(join(top,B),meet(zero,B))) = join(top,meet(join(top,B),meet(zero,B))),
introduced(tautology,[refl,[$fot(join(top,meet(join(top,B),meet(zero,B))))]]) ).
cnf(refute_0_1163,plain,
( join(top,meet(join(top,B),meet(zero,B))) != join(top,meet(join(top,B),meet(zero,B)))
| meet(join(top,B),meet(zero,B)) != zero
| join(top,meet(join(top,B),meet(zero,B))) = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,meet(join(top,B),meet(zero,B))),join(top,meet(join(top,B),meet(zero,B)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1164,plain,
( meet(join(top,B),meet(zero,B)) != zero
| join(top,meet(join(top,B),meet(zero,B))) = join(top,zero) ),
inference(resolve,[$cnf( $equal(join(top,meet(join(top,B),meet(zero,B))),join(top,meet(join(top,B),meet(zero,B)))) )],[refute_0_1162,refute_0_1163]) ).
cnf(refute_0_1165,plain,
join(top,meet(join(top,B),meet(zero,B))) = join(top,zero),
inference(resolve,[$cnf( $equal(meet(join(top,B),meet(zero,B)),zero) )],[refute_0_1161,refute_0_1164]) ).
cnf(refute_0_1166,plain,
( join(top,meet(join(top,B),meet(zero,B))) != join(top,zero)
| join(top,zero) != top
| join(top,meet(join(top,B),meet(zero,B))) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(top,meet(join(top,B),meet(zero,B))))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1167,plain,
( join(top,zero) != top
| join(top,meet(join(top,B),meet(zero,B))) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(join(top,B),meet(zero,B))),join(top,zero)) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
join(top,meet(join(top,B),meet(zero,B))) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_1073,refute_0_1167]) ).
cnf(refute_0_1169,plain,
( join(top,B) != join(top,meet(join(top,B),meet(zero,B)))
| join(top,meet(join(top,B),meet(zero,B))) != top
| join(top,B) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,B),top) ),[0],$fot(join(top,meet(join(top,B),meet(zero,B))))]]) ).
cnf(refute_0_1170,plain,
( join(top,B) != join(top,meet(join(top,B),meet(zero,B)))
| join(top,B) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(join(top,B),meet(zero,B))),top) )],[refute_0_1168,refute_0_1169]) ).
cnf(refute_0_1171,plain,
join(top,B) = top,
inference(resolve,[$cnf( $equal(join(top,B),join(top,meet(join(top,B),meet(zero,B)))) )],[refute_0_1033,refute_0_1170]) ).
cnf(refute_0_1172,plain,
join(top,X_121) = top,
inference(subst,[],[refute_0_1171:[bind(B,$fot(X_121))]]) ).
cnf(refute_0_1173,plain,
( join(X_119,join(complement(X_119),X_121)) != join(top,X_121)
| join(top,X_121) != top
| join(X_119,join(complement(X_119),X_121)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_119,join(complement(X_119),X_121)),top) ),[0],$fot(join(top,X_121))]]) ).
cnf(refute_0_1174,plain,
( join(X_119,join(complement(X_119),X_121)) != join(top,X_121)
| join(X_119,join(complement(X_119),X_121)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_121),top) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
join(X_119,join(complement(X_119),X_121)) = top,
inference(resolve,[$cnf( $equal(join(X_119,join(complement(X_119),X_121)),join(top,X_121)) )],[refute_0_975,refute_0_1174]) ).
cnf(refute_0_1176,plain,
join(complement(X_41),join(complement(complement(X_41)),X_124)) = top,
inference(subst,[],[refute_0_1175:[bind(X_119,$fot(complement(X_41))),bind(X_121,$fot(X_124))]]) ).
cnf(refute_0_1177,plain,
( X_41 != join(meet(join(complement(complement(X_41)),X_124),X_41),complement(join(complement(X_41),join(complement(complement(X_41)),X_124))))
| join(complement(X_41),join(complement(complement(X_41)),X_124)) != top
| X_41 = join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(join(complement(complement(X_41)),X_124),X_41),complement(join(complement(X_41),join(complement(complement(X_41)),X_124))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1178,plain,
( X_41 != join(meet(join(complement(complement(X_41)),X_124),X_41),complement(join(complement(X_41),join(complement(complement(X_41)),X_124))))
| X_41 = join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),join(complement(complement(X_41)),X_124)),top) )],[refute_0_1176,refute_0_1177]) ).
cnf(refute_0_1179,plain,
X_41 = join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)),
inference(resolve,[$cnf( $equal(X_41,join(meet(join(complement(complement(X_41)),X_124),X_41),complement(join(complement(X_41),join(complement(complement(X_41)),X_124))))) )],[refute_0_968,refute_0_1178]) ).
cnf(refute_0_1180,plain,
join(zero,meet(X_41,join(X_41,X_124))) = meet(X_41,join(X_41,X_124)),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(X_41,join(X_41,X_124))))]]) ).
cnf(refute_0_1181,plain,
complement(complement(X_41)) = X_41,
inference(subst,[],[refute_0_931:[bind(X_25,$fot(X_41))]]) ).
cnf(refute_0_1182,plain,
join(complement(complement(X_41)),X_124) = join(complement(complement(X_41)),X_124),
introduced(tautology,[refl,[$fot(join(complement(complement(X_41)),X_124))]]) ).
cnf(refute_0_1183,plain,
( complement(complement(X_41)) != X_41
| join(complement(complement(X_41)),X_124) != join(complement(complement(X_41)),X_124)
| join(complement(complement(X_41)),X_124) = join(X_41,X_124) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_41)),X_124),join(complement(complement(X_41)),X_124)) ),[1,0],$fot(X_41)]]) ).
cnf(refute_0_1184,plain,
( complement(complement(X_41)) != X_41
| join(complement(complement(X_41)),X_124) = join(X_41,X_124) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_41)),X_124),join(complement(complement(X_41)),X_124)) )],[refute_0_1182,refute_0_1183]) ).
cnf(refute_0_1185,plain,
join(complement(complement(X_41)),X_124) = join(X_41,X_124),
inference(resolve,[$cnf( $equal(complement(complement(X_41)),X_41) )],[refute_0_1181,refute_0_1184]) ).
cnf(refute_0_1186,plain,
meet(X_41,join(complement(complement(X_41)),X_124)) = meet(X_41,join(complement(complement(X_41)),X_124)),
introduced(tautology,[refl,[$fot(meet(X_41,join(complement(complement(X_41)),X_124)))]]) ).
cnf(refute_0_1187,plain,
( join(complement(complement(X_41)),X_124) != join(X_41,X_124)
| meet(X_41,join(complement(complement(X_41)),X_124)) != meet(X_41,join(complement(complement(X_41)),X_124))
| meet(X_41,join(complement(complement(X_41)),X_124)) = meet(X_41,join(X_41,X_124)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_41,join(complement(complement(X_41)),X_124)),meet(X_41,join(complement(complement(X_41)),X_124))) ),[1,1],$fot(join(X_41,X_124))]]) ).
cnf(refute_0_1188,plain,
( join(complement(complement(X_41)),X_124) != join(X_41,X_124)
| meet(X_41,join(complement(complement(X_41)),X_124)) = meet(X_41,join(X_41,X_124)) ),
inference(resolve,[$cnf( $equal(meet(X_41,join(complement(complement(X_41)),X_124)),meet(X_41,join(complement(complement(X_41)),X_124))) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
meet(X_41,join(complement(complement(X_41)),X_124)) = meet(X_41,join(X_41,X_124)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_41)),X_124),join(X_41,X_124)) )],[refute_0_1185,refute_0_1188]) ).
cnf(refute_0_1190,plain,
meet(join(complement(complement(X_41)),X_124),X_41) = meet(X_41,join(complement(complement(X_41)),X_124)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(X_41)),bind(X_16,$fot(join(complement(complement(X_41)),X_124)))]]) ).
cnf(refute_0_1191,plain,
( meet(X_41,join(complement(complement(X_41)),X_124)) != meet(X_41,join(X_41,X_124))
| meet(join(complement(complement(X_41)),X_124),X_41) != meet(X_41,join(complement(complement(X_41)),X_124))
| meet(join(complement(complement(X_41)),X_124),X_41) = meet(X_41,join(X_41,X_124)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(complement(complement(X_41)),X_124),X_41))),bind(Y,$fot(meet(X_41,join(complement(complement(X_41)),X_124)))),bind(Z,$fot(meet(X_41,join(X_41,X_124))))]]) ).
cnf(refute_0_1192,plain,
( meet(X_41,join(complement(complement(X_41)),X_124)) != meet(X_41,join(X_41,X_124))
| meet(join(complement(complement(X_41)),X_124),X_41) = meet(X_41,join(X_41,X_124)) ),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(X_41)),X_124),X_41),meet(X_41,join(complement(complement(X_41)),X_124))) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
meet(join(complement(complement(X_41)),X_124),X_41) = meet(X_41,join(X_41,X_124)),
inference(resolve,[$cnf( $equal(meet(X_41,join(complement(complement(X_41)),X_124)),meet(X_41,join(X_41,X_124))) )],[refute_0_1189,refute_0_1192]) ).
cnf(refute_0_1194,plain,
join(zero,meet(join(complement(complement(X_41)),X_124),X_41)) = join(zero,meet(join(complement(complement(X_41)),X_124),X_41)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(complement(X_41)),X_124),X_41)))]]) ).
cnf(refute_0_1195,plain,
( join(zero,meet(join(complement(complement(X_41)),X_124),X_41)) != join(zero,meet(join(complement(complement(X_41)),X_124),X_41))
| meet(join(complement(complement(X_41)),X_124),X_41) != meet(X_41,join(X_41,X_124))
| join(zero,meet(join(complement(complement(X_41)),X_124),X_41)) = join(zero,meet(X_41,join(X_41,X_124))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(complement(X_41)),X_124),X_41)),join(zero,meet(join(complement(complement(X_41)),X_124),X_41))) ),[1,1],$fot(meet(X_41,join(X_41,X_124)))]]) ).
cnf(refute_0_1196,plain,
( meet(join(complement(complement(X_41)),X_124),X_41) != meet(X_41,join(X_41,X_124))
| join(zero,meet(join(complement(complement(X_41)),X_124),X_41)) = join(zero,meet(X_41,join(X_41,X_124))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(complement(X_41)),X_124),X_41)),join(zero,meet(join(complement(complement(X_41)),X_124),X_41))) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
join(zero,meet(join(complement(complement(X_41)),X_124),X_41)) = join(zero,meet(X_41,join(X_41,X_124))),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(X_41)),X_124),X_41),meet(X_41,join(X_41,X_124))) )],[refute_0_1193,refute_0_1196]) ).
cnf(refute_0_1198,plain,
join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) = join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)))]]) ).
cnf(refute_0_1199,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) != join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41))
| join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) = join(zero,meet(join(complement(complement(X_41)),X_124),X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)),join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1200,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) = join(zero,meet(join(complement(complement(X_41)),X_124),X_41)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)),join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41))) )],[refute_0_1198,refute_0_1199]) ).
cnf(refute_0_1201,plain,
join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) = join(zero,meet(join(complement(complement(X_41)),X_124),X_41)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_1200]) ).
cnf(refute_0_1202,plain,
( join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) != join(zero,meet(join(complement(complement(X_41)),X_124),X_41))
| join(zero,meet(join(complement(complement(X_41)),X_124),X_41)) != join(zero,meet(X_41,join(X_41,X_124)))
| join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) = join(zero,meet(X_41,join(X_41,X_124))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)))),bind(Y,$fot(join(zero,meet(join(complement(complement(X_41)),X_124),X_41)))),bind(Z,$fot(join(zero,meet(X_41,join(X_41,X_124)))))]]) ).
cnf(refute_0_1203,plain,
( join(zero,meet(join(complement(complement(X_41)),X_124),X_41)) != join(zero,meet(X_41,join(X_41,X_124)))
| join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) = join(zero,meet(X_41,join(X_41,X_124))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)),join(zero,meet(join(complement(complement(X_41)),X_124),X_41))) )],[refute_0_1201,refute_0_1202]) ).
cnf(refute_0_1204,plain,
join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) = join(zero,meet(X_41,join(X_41,X_124))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(complement(X_41)),X_124),X_41)),join(zero,meet(X_41,join(X_41,X_124)))) )],[refute_0_1197,refute_0_1203]) ).
cnf(refute_0_1205,plain,
( join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) != join(zero,meet(X_41,join(X_41,X_124)))
| join(zero,meet(X_41,join(X_41,X_124))) != meet(X_41,join(X_41,X_124))
| join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) = meet(X_41,join(X_41,X_124)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)))),bind(Y,$fot(join(zero,meet(X_41,join(X_41,X_124))))),bind(Z,$fot(meet(X_41,join(X_41,X_124))))]]) ).
cnf(refute_0_1206,plain,
( join(zero,meet(X_41,join(X_41,X_124))) != meet(X_41,join(X_41,X_124))
| join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) = meet(X_41,join(X_41,X_124)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)),join(zero,meet(X_41,join(X_41,X_124)))) )],[refute_0_1204,refute_0_1205]) ).
cnf(refute_0_1207,plain,
join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) = meet(X_41,join(X_41,X_124)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_41,join(X_41,X_124))),meet(X_41,join(X_41,X_124))) )],[refute_0_1180,refute_0_1206]) ).
cnf(refute_0_1208,plain,
join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)) = join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(top))),bind(B,$fot(meet(join(complement(complement(X_41)),X_124),X_41)))]]) ).
cnf(refute_0_1209,plain,
( join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) != meet(X_41,join(X_41,X_124))
| join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)) != join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41))
| join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)) = meet(X_41,join(X_41,X_124)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)))),bind(Z,$fot(meet(X_41,join(X_41,X_124))))]]) ).
cnf(refute_0_1210,plain,
( join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)) != meet(X_41,join(X_41,X_124))
| join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)) = meet(X_41,join(X_41,X_124)) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)),join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41))) )],[refute_0_1208,refute_0_1209]) ).
cnf(refute_0_1211,plain,
join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)) = meet(X_41,join(X_41,X_124)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_41)),X_124),X_41)),meet(X_41,join(X_41,X_124))) )],[refute_0_1207,refute_0_1210]) ).
cnf(refute_0_1212,plain,
( X_41 != join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top))
| join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)) != meet(X_41,join(X_41,X_124))
| X_41 = meet(X_41,join(X_41,X_124)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,meet(X_41,join(X_41,X_124))) ),[0],$fot(join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)))]]) ).
cnf(refute_0_1213,plain,
( X_41 != join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top))
| X_41 = meet(X_41,join(X_41,X_124)) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top)),meet(X_41,join(X_41,X_124))) )],[refute_0_1211,refute_0_1212]) ).
cnf(refute_0_1214,plain,
X_41 = meet(X_41,join(X_41,X_124)),
inference(resolve,[$cnf( $equal(X_41,join(meet(join(complement(complement(X_41)),X_124),X_41),complement(top))) )],[refute_0_1179,refute_0_1213]) ).
cnf(refute_0_1215,plain,
X_126 = meet(X_126,join(X_126,X_125)),
inference(subst,[],[refute_0_1214:[bind(X_124,$fot(X_125)),bind(X_41,$fot(X_126))]]) ).
cnf(refute_0_1216,plain,
join(X_125,X_126) = join(X_126,X_125),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_125)),bind(B,$fot(X_126))]]) ).
cnf(refute_0_1217,plain,
( join(X_125,X_126) != join(X_126,X_125)
| join(X_126,X_125) = join(X_125,X_126) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_125,X_126))),bind(Y,$fot(join(X_126,X_125)))]]) ).
cnf(refute_0_1218,plain,
join(X_126,X_125) = join(X_125,X_126),
inference(resolve,[$cnf( $equal(join(X_125,X_126),join(X_126,X_125)) )],[refute_0_1216,refute_0_1217]) ).
cnf(refute_0_1219,plain,
( X_126 != meet(X_126,join(X_126,X_125))
| join(X_126,X_125) != join(X_125,X_126)
| X_126 = meet(X_126,join(X_125,X_126)) ),
introduced(tautology,[equality,[$cnf( $equal(X_126,meet(X_126,join(X_126,X_125))) ),[1,1],$fot(join(X_125,X_126))]]) ).
cnf(refute_0_1220,plain,
( X_126 != meet(X_126,join(X_126,X_125))
| X_126 = meet(X_126,join(X_125,X_126)) ),
inference(resolve,[$cnf( $equal(join(X_126,X_125),join(X_125,X_126)) )],[refute_0_1218,refute_0_1219]) ).
cnf(refute_0_1221,plain,
X_126 = meet(X_126,join(X_125,X_126)),
inference(resolve,[$cnf( $equal(X_126,meet(X_126,join(X_126,X_125))) )],[refute_0_1215,refute_0_1220]) ).
cnf(refute_0_1222,plain,
( X_126 != meet(X_126,join(X_125,X_126))
| meet(X_126,join(X_125,X_126)) = X_126 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_126)),bind(Y,$fot(meet(X_126,join(X_125,X_126))))]]) ).
cnf(refute_0_1223,plain,
meet(X_126,join(X_125,X_126)) = X_126,
inference(resolve,[$cnf( $equal(X_126,meet(X_126,join(X_125,X_126))) )],[refute_0_1221,refute_0_1222]) ).
cnf(refute_0_1224,plain,
meet(X_139,join(X_139,X_139)) = X_139,
inference(subst,[],[refute_0_1223:[bind(X_125,$fot(X_139)),bind(X_126,$fot(X_139))]]) ).
cnf(refute_0_1225,plain,
complement(complement(X_139)) = X_139,
inference(subst,[],[refute_0_931:[bind(X_25,$fot(X_139))]]) ).
cnf(refute_0_1226,plain,
meet(complement(complement(X_139)),join(X_139,X_139)) = meet(complement(complement(X_139)),join(X_139,X_139)),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_139)),join(X_139,X_139)))]]) ).
cnf(refute_0_1227,plain,
( complement(complement(X_139)) != X_139
| meet(complement(complement(X_139)),join(X_139,X_139)) != meet(complement(complement(X_139)),join(X_139,X_139))
| meet(complement(complement(X_139)),join(X_139,X_139)) = meet(X_139,join(X_139,X_139)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_139)),join(X_139,X_139)),meet(complement(complement(X_139)),join(X_139,X_139))) ),[1,0],$fot(X_139)]]) ).
cnf(refute_0_1228,plain,
( complement(complement(X_139)) != X_139
| meet(complement(complement(X_139)),join(X_139,X_139)) = meet(X_139,join(X_139,X_139)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_139)),join(X_139,X_139)),meet(complement(complement(X_139)),join(X_139,X_139))) )],[refute_0_1226,refute_0_1227]) ).
cnf(refute_0_1229,plain,
meet(complement(complement(X_139)),join(X_139,X_139)) = meet(X_139,join(X_139,X_139)),
inference(resolve,[$cnf( $equal(complement(complement(X_139)),X_139) )],[refute_0_1225,refute_0_1228]) ).
cnf(refute_0_1230,plain,
( meet(X_139,join(X_139,X_139)) != X_139
| meet(complement(complement(X_139)),join(X_139,X_139)) != meet(X_139,join(X_139,X_139))
| meet(complement(complement(X_139)),join(X_139,X_139)) = X_139 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(complement(X_139)),join(X_139,X_139)))),bind(Y,$fot(meet(X_139,join(X_139,X_139)))),bind(Z,$fot(X_139))]]) ).
cnf(refute_0_1231,plain,
( meet(X_139,join(X_139,X_139)) != X_139
| meet(complement(complement(X_139)),join(X_139,X_139)) = X_139 ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_139)),join(X_139,X_139)),meet(X_139,join(X_139,X_139))) )],[refute_0_1229,refute_0_1230]) ).
cnf(refute_0_1232,plain,
meet(complement(complement(X_139)),join(X_139,X_139)) = X_139,
inference(resolve,[$cnf( $equal(meet(X_139,join(X_139,X_139)),X_139) )],[refute_0_1224,refute_0_1231]) ).
cnf(refute_0_1233,plain,
join(zero,meet(complement(complement(X_139)),join(X_139,X_139))) = meet(complement(complement(X_139)),join(X_139,X_139)),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(complement(complement(X_139)),join(X_139,X_139))))]]) ).
cnf(refute_0_1234,plain,
( join(zero,meet(complement(complement(X_139)),join(X_139,X_139))) != meet(complement(complement(X_139)),join(X_139,X_139))
| meet(complement(complement(X_139)),join(X_139,X_139)) != X_139
| join(zero,meet(complement(complement(X_139)),join(X_139,X_139))) = X_139 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,meet(complement(complement(X_139)),join(X_139,X_139))))),bind(Y,$fot(meet(complement(complement(X_139)),join(X_139,X_139)))),bind(Z,$fot(X_139))]]) ).
cnf(refute_0_1235,plain,
( meet(complement(complement(X_139)),join(X_139,X_139)) != X_139
| join(zero,meet(complement(complement(X_139)),join(X_139,X_139))) = X_139 ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_139)),join(X_139,X_139))),meet(complement(complement(X_139)),join(X_139,X_139))) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
join(zero,meet(complement(complement(X_139)),join(X_139,X_139))) = X_139,
inference(resolve,[$cnf( $equal(meet(complement(complement(X_139)),join(X_139,X_139)),X_139) )],[refute_0_1232,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( join(X_139,X_139) != join(zero,meet(complement(complement(X_139)),join(X_139,X_139)))
| join(zero,meet(complement(complement(X_139)),join(X_139,X_139))) != X_139
| join(X_139,X_139) = X_139 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_139,X_139),X_139) ),[0],$fot(join(zero,meet(complement(complement(X_139)),join(X_139,X_139))))]]) ).
cnf(refute_0_1238,plain,
( join(X_139,X_139) != join(zero,meet(complement(complement(X_139)),join(X_139,X_139)))
| join(X_139,X_139) = X_139 ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_139)),join(X_139,X_139))),X_139) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
join(X_139,X_139) = X_139,
inference(resolve,[$cnf( $equal(join(X_139,X_139),join(zero,meet(complement(complement(X_139)),join(X_139,X_139)))) )],[refute_0_967,refute_0_1238]) ).
cnf(refute_0_1240,plain,
join(X_300,X_300) = X_300,
inference(subst,[],[refute_0_1239:[bind(X_139,$fot(X_300))]]) ).
cnf(refute_0_1241,plain,
( join(X_298,join(X_300,X_300)) != join(X_300,join(X_298,X_300))
| join(X_300,X_300) != X_300
| join(X_298,X_300) = join(X_300,join(X_298,X_300)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_298,join(X_300,X_300)),join(X_300,join(X_298,X_300))) ),[0,1],$fot(X_300)]]) ).
cnf(refute_0_1242,plain,
( join(X_298,join(X_300,X_300)) != join(X_300,join(X_298,X_300))
| join(X_298,X_300) = join(X_300,join(X_298,X_300)) ),
inference(resolve,[$cnf( $equal(join(X_300,X_300),X_300) )],[refute_0_1240,refute_0_1241]) ).
cnf(refute_0_1243,plain,
join(X_298,X_300) = join(X_300,join(X_298,X_300)),
inference(resolve,[$cnf( $equal(join(X_298,join(X_300,X_300)),join(X_300,join(X_298,X_300))) )],[refute_0_152,refute_0_1242]) ).
cnf(refute_0_1244,plain,
join(X_298,composition(X_298,converse(X_1434))) = join(composition(X_298,converse(X_1434)),join(X_298,composition(X_298,converse(X_1434)))),
inference(subst,[],[refute_0_1243:[bind(X_300,$fot(composition(X_298,converse(X_1434))))]]) ).
cnf(refute_0_1245,plain,
composition(X_298,converse(join(X_1434,one))) = join(X_298,composition(X_298,converse(X_1434))),
inference(subst,[],[refute_0_116:[bind(A,$fot(X_298)),bind(X_150,$fot(X_1434))]]) ).
cnf(refute_0_1246,plain,
( composition(X_298,converse(join(X_1434,one))) != join(X_298,composition(X_298,converse(X_1434)))
| join(X_298,composition(X_298,converse(X_1434))) = composition(X_298,converse(join(X_1434,one))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(X_298,converse(join(X_1434,one))))),bind(Y,$fot(join(X_298,composition(X_298,converse(X_1434)))))]]) ).
cnf(refute_0_1247,plain,
join(X_298,composition(X_298,converse(X_1434))) = composition(X_298,converse(join(X_1434,one))),
inference(resolve,[$cnf( $equal(composition(X_298,converse(join(X_1434,one))),join(X_298,composition(X_298,converse(X_1434)))) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
( join(X_298,composition(X_298,converse(X_1434))) != composition(X_298,converse(join(X_1434,one)))
| join(X_298,composition(X_298,converse(X_1434))) != join(composition(X_298,converse(X_1434)),join(X_298,composition(X_298,converse(X_1434))))
| join(X_298,composition(X_298,converse(X_1434))) = join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_298,composition(X_298,converse(X_1434))),join(composition(X_298,converse(X_1434)),join(X_298,composition(X_298,converse(X_1434))))) ),[1,1],$fot(composition(X_298,converse(join(X_1434,one))))]]) ).
cnf(refute_0_1249,plain,
( join(X_298,composition(X_298,converse(X_1434))) != join(composition(X_298,converse(X_1434)),join(X_298,composition(X_298,converse(X_1434))))
| join(X_298,composition(X_298,converse(X_1434))) = join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))) ),
inference(resolve,[$cnf( $equal(join(X_298,composition(X_298,converse(X_1434))),composition(X_298,converse(join(X_1434,one)))) )],[refute_0_1247,refute_0_1248]) ).
cnf(refute_0_1250,plain,
join(X_298,composition(X_298,converse(X_1434))) = join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))),
inference(resolve,[$cnf( $equal(join(X_298,composition(X_298,converse(X_1434))),join(composition(X_298,converse(X_1434)),join(X_298,composition(X_298,converse(X_1434))))) )],[refute_0_1244,refute_0_1249]) ).
cnf(refute_0_1251,plain,
( join(X_298,composition(X_298,converse(X_1434))) != composition(X_298,converse(join(X_1434,one)))
| join(X_298,composition(X_298,converse(X_1434))) != join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one))))
| composition(X_298,converse(join(X_1434,one))) = join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_298,composition(X_298,converse(X_1434))),join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one))))) ),[0],$fot(composition(X_298,converse(join(X_1434,one))))]]) ).
cnf(refute_0_1252,plain,
( join(X_298,composition(X_298,converse(X_1434))) != join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one))))
| composition(X_298,converse(join(X_1434,one))) = join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))) ),
inference(resolve,[$cnf( $equal(join(X_298,composition(X_298,converse(X_1434))),composition(X_298,converse(join(X_1434,one)))) )],[refute_0_1247,refute_0_1251]) ).
cnf(refute_0_1253,plain,
converse(join(converse(one),X_5)) = join(one,converse(X_5)),
inference(subst,[],[refute_0_93:[bind(A,$fot(one))]]) ).
cnf(refute_0_1254,plain,
( converse(join(converse(one),X_5)) != join(one,converse(X_5))
| converse(one) != one
| converse(join(one,X_5)) = join(one,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_1255,plain,
( converse(join(converse(one),X_5)) != join(one,converse(X_5))
| converse(join(one,X_5)) = join(one,converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_38,refute_0_1254]) ).
cnf(refute_0_1256,plain,
converse(join(one,X_5)) = join(one,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) )],[refute_0_1253,refute_0_1255]) ).
cnf(refute_0_1257,plain,
( converse(join(one,X_5)) != join(one,converse(X_5))
| join(one,converse(X_5)) = converse(join(one,X_5)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,X_5)))),bind(Y,$fot(join(one,converse(X_5))))]]) ).
cnf(refute_0_1258,plain,
join(one,converse(X_5)) = converse(join(one,X_5)),
inference(resolve,[$cnf( $equal(converse(join(one,X_5)),join(one,converse(X_5))) )],[refute_0_1256,refute_0_1257]) ).
cnf(refute_0_1259,plain,
join(one,converse(X_1434)) = converse(join(one,X_1434)),
inference(subst,[],[refute_0_1258:[bind(X_5,$fot(X_1434))]]) ).
cnf(refute_0_1260,plain,
join(converse(X_1434),converse(X_1434)) = converse(X_1434),
inference(subst,[],[refute_0_1239:[bind(X_139,$fot(converse(X_1434)))]]) ).
cnf(refute_0_1261,plain,
join(one,join(converse(X_1434),converse(X_1434))) = join(one,join(converse(X_1434),converse(X_1434))),
introduced(tautology,[refl,[$fot(join(one,join(converse(X_1434),converse(X_1434))))]]) ).
cnf(refute_0_1262,plain,
( join(converse(X_1434),converse(X_1434)) != converse(X_1434)
| join(one,join(converse(X_1434),converse(X_1434))) != join(one,join(converse(X_1434),converse(X_1434)))
| join(one,join(converse(X_1434),converse(X_1434))) = join(one,converse(X_1434)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_1434),converse(X_1434))),join(one,join(converse(X_1434),converse(X_1434)))) ),[1,1],$fot(converse(X_1434))]]) ).
cnf(refute_0_1263,plain,
( join(converse(X_1434),converse(X_1434)) != converse(X_1434)
| join(one,join(converse(X_1434),converse(X_1434))) = join(one,converse(X_1434)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_1434),converse(X_1434))),join(one,join(converse(X_1434),converse(X_1434)))) )],[refute_0_1261,refute_0_1262]) ).
cnf(refute_0_1264,plain,
join(one,join(converse(X_1434),converse(X_1434))) = join(one,converse(X_1434)),
inference(resolve,[$cnf( $equal(join(converse(X_1434),converse(X_1434)),converse(X_1434)) )],[refute_0_1260,refute_0_1263]) ).
cnf(refute_0_1265,plain,
( join(one,converse(X_1434)) != converse(join(one,X_1434))
| join(one,join(converse(X_1434),converse(X_1434))) != join(one,converse(X_1434))
| join(one,join(converse(X_1434),converse(X_1434))) = converse(join(one,X_1434)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(one,join(converse(X_1434),converse(X_1434))))),bind(Y,$fot(join(one,converse(X_1434)))),bind(Z,$fot(converse(join(one,X_1434))))]]) ).
cnf(refute_0_1266,plain,
( join(one,converse(X_1434)) != converse(join(one,X_1434))
| join(one,join(converse(X_1434),converse(X_1434))) = converse(join(one,X_1434)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_1434),converse(X_1434))),join(one,converse(X_1434))) )],[refute_0_1264,refute_0_1265]) ).
cnf(refute_0_1267,plain,
join(one,join(converse(X_1434),converse(X_1434))) = converse(join(one,X_1434)),
inference(resolve,[$cnf( $equal(join(one,converse(X_1434)),converse(join(one,X_1434))) )],[refute_0_1259,refute_0_1266]) ).
cnf(refute_0_1268,plain,
converse(join(A,join(X_7,converse(X_6)))) = join(converse(A),converse(join(X_7,converse(X_6)))),
inference(subst,[],[converse_additivity_9:[bind(B,$fot(join(X_7,converse(X_6))))]]) ).
cnf(refute_0_1269,plain,
converse(join(X_7,converse(X_6))) = join(converse(X_7),X_6),
inference(subst,[],[refute_0_128:[bind(A,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_1270,plain,
( converse(join(A,join(X_7,converse(X_6)))) != join(converse(A),converse(join(X_7,converse(X_6))))
| converse(join(X_7,converse(X_6))) != join(converse(X_7),X_6)
| converse(join(A,join(X_7,converse(X_6)))) = join(converse(A),join(converse(X_7),X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(A,join(X_7,converse(X_6)))),join(converse(A),converse(join(X_7,converse(X_6))))) ),[1,1],$fot(join(converse(X_7),X_6))]]) ).
cnf(refute_0_1271,plain,
( converse(join(A,join(X_7,converse(X_6)))) != join(converse(A),converse(join(X_7,converse(X_6))))
| converse(join(A,join(X_7,converse(X_6)))) = join(converse(A),join(converse(X_7),X_6)) ),
inference(resolve,[$cnf( $equal(converse(join(X_7,converse(X_6))),join(converse(X_7),X_6)) )],[refute_0_1269,refute_0_1270]) ).
cnf(refute_0_1272,plain,
converse(join(A,join(X_7,converse(X_6)))) = join(converse(A),join(converse(X_7),X_6)),
inference(resolve,[$cnf( $equal(converse(join(A,join(X_7,converse(X_6)))),join(converse(A),converse(join(X_7,converse(X_6))))) )],[refute_0_1268,refute_0_1271]) ).
cnf(refute_0_1273,plain,
converse(join(join(X_119,X_120),converse(A))) = join(converse(join(X_119,X_120)),A),
inference(subst,[],[refute_0_128:[bind(X_4,$fot(join(X_119,X_120)))]]) ).
cnf(refute_0_1274,plain,
join(X_119,join(X_120,converse(A))) = join(join(X_119,X_120),converse(A)),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_119)),bind(B,$fot(X_120)),bind(C,$fot(converse(A)))]]) ).
cnf(refute_0_1275,plain,
( join(X_119,join(X_120,converse(A))) != join(join(X_119,X_120),converse(A))
| join(join(X_119,X_120),converse(A)) = join(X_119,join(X_120,converse(A))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_119,join(X_120,converse(A))))),bind(Y,$fot(join(join(X_119,X_120),converse(A))))]]) ).
cnf(refute_0_1276,plain,
join(join(X_119,X_120),converse(A)) = join(X_119,join(X_120,converse(A))),
inference(resolve,[$cnf( $equal(join(X_119,join(X_120,converse(A))),join(join(X_119,X_120),converse(A))) )],[refute_0_1274,refute_0_1275]) ).
cnf(refute_0_1277,plain,
( converse(join(join(X_119,X_120),converse(A))) != join(converse(join(X_119,X_120)),A)
| join(join(X_119,X_120),converse(A)) != join(X_119,join(X_120,converse(A)))
| converse(join(X_119,join(X_120,converse(A)))) = join(converse(join(X_119,X_120)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_119,X_120),converse(A))),join(converse(join(X_119,X_120)),A)) ),[0,0],$fot(join(X_119,join(X_120,converse(A))))]]) ).
cnf(refute_0_1278,plain,
( converse(join(join(X_119,X_120),converse(A))) != join(converse(join(X_119,X_120)),A)
| converse(join(X_119,join(X_120,converse(A)))) = join(converse(join(X_119,X_120)),A) ),
inference(resolve,[$cnf( $equal(join(join(X_119,X_120),converse(A)),join(X_119,join(X_120,converse(A)))) )],[refute_0_1276,refute_0_1277]) ).
cnf(refute_0_1279,plain,
converse(join(X_119,join(X_120,converse(A)))) = join(converse(join(X_119,X_120)),A),
inference(resolve,[$cnf( $equal(converse(join(join(X_119,X_120),converse(A))),join(converse(join(X_119,X_120)),A)) )],[refute_0_1273,refute_0_1278]) ).
cnf(refute_0_1280,plain,
converse(join(A,join(X_7,converse(X_6)))) = join(converse(join(A,X_7)),X_6),
inference(subst,[],[refute_0_1279:[bind(A,$fot(X_6)),bind(X_119,$fot(A)),bind(X_120,$fot(X_7))]]) ).
cnf(refute_0_1281,plain,
( converse(join(A,join(X_7,converse(X_6)))) != join(converse(A),join(converse(X_7),X_6))
| converse(join(A,join(X_7,converse(X_6)))) != join(converse(join(A,X_7)),X_6)
| join(converse(join(A,X_7)),X_6) = join(converse(A),join(converse(X_7),X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(A,join(X_7,converse(X_6)))),join(converse(A),join(converse(X_7),X_6))) ),[0],$fot(join(converse(join(A,X_7)),X_6))]]) ).
cnf(refute_0_1282,plain,
( converse(join(A,join(X_7,converse(X_6)))) != join(converse(A),join(converse(X_7),X_6))
| join(converse(join(A,X_7)),X_6) = join(converse(A),join(converse(X_7),X_6)) ),
inference(resolve,[$cnf( $equal(converse(join(A,join(X_7,converse(X_6)))),join(converse(join(A,X_7)),X_6)) )],[refute_0_1280,refute_0_1281]) ).
cnf(refute_0_1283,plain,
join(converse(join(A,X_7)),X_6) = join(converse(A),join(converse(X_7),X_6)),
inference(resolve,[$cnf( $equal(converse(join(A,join(X_7,converse(X_6)))),join(converse(A),join(converse(X_7),X_6))) )],[refute_0_1272,refute_0_1282]) ).
cnf(refute_0_1284,plain,
join(converse(join(X_206,one)),X_207) = join(converse(X_206),join(converse(one),X_207)),
inference(subst,[],[refute_0_1283:[bind(A,$fot(X_206)),bind(X_6,$fot(X_207)),bind(X_7,$fot(one))]]) ).
cnf(refute_0_1285,plain,
( converse(one) != one
| join(converse(join(X_206,one)),X_207) != join(converse(X_206),join(converse(one),X_207))
| join(converse(join(X_206,one)),X_207) = join(converse(X_206),join(one,X_207)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_206,one)),X_207),join(converse(X_206),join(converse(one),X_207))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_1286,plain,
( join(converse(join(X_206,one)),X_207) != join(converse(X_206),join(converse(one),X_207))
| join(converse(join(X_206,one)),X_207) = join(converse(X_206),join(one,X_207)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_38,refute_0_1285]) ).
cnf(refute_0_1287,plain,
join(converse(join(X_206,one)),X_207) = join(converse(X_206),join(one,X_207)),
inference(resolve,[$cnf( $equal(join(converse(join(X_206,one)),X_207),join(converse(X_206),join(converse(one),X_207))) )],[refute_0_1284,refute_0_1286]) ).
cnf(refute_0_1288,plain,
converse(converse(join(X_145,join(X_146,X_144)))) = join(X_145,join(X_146,X_144)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(X_145,join(X_146,X_144))))]]) ).
cnf(refute_0_1289,plain,
converse(join(join(X_23,X_24),B)) = join(converse(join(X_23,X_24)),converse(B)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(join(X_23,X_24)))]]) ).
cnf(refute_0_1290,plain,
( converse(join(X_23,X_24)) != converse(join(X_24,X_23))
| converse(join(join(X_23,X_24),B)) != join(converse(join(X_23,X_24)),converse(B))
| converse(join(join(X_23,X_24),B)) = join(converse(join(X_24,X_23)),converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_23,X_24),B)),join(converse(join(X_23,X_24)),converse(B))) ),[1,0],$fot(converse(join(X_24,X_23)))]]) ).
cnf(refute_0_1291,plain,
( converse(join(join(X_23,X_24),B)) != join(converse(join(X_23,X_24)),converse(B))
| converse(join(join(X_23,X_24),B)) = join(converse(join(X_24,X_23)),converse(B)) ),
inference(resolve,[$cnf( $equal(converse(join(X_23,X_24)),converse(join(X_24,X_23))) )],[refute_0_723,refute_0_1290]) ).
cnf(refute_0_1292,plain,
converse(join(join(X_23,X_24),B)) = join(converse(join(X_24,X_23)),converse(B)),
inference(resolve,[$cnf( $equal(converse(join(join(X_23,X_24),B)),join(converse(join(X_23,X_24)),converse(B))) )],[refute_0_1289,refute_0_1291]) ).
cnf(refute_0_1293,plain,
join(join(X_23,X_24),B) = join(X_23,join(X_24,B)),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(B))]]) ).
cnf(refute_0_1294,plain,
converse(join(join(X_23,X_24),B)) = converse(join(join(X_23,X_24),B)),
introduced(tautology,[refl,[$fot(converse(join(join(X_23,X_24),B)))]]) ).
cnf(refute_0_1295,plain,
( converse(join(join(X_23,X_24),B)) != converse(join(join(X_23,X_24),B))
| join(join(X_23,X_24),B) != join(X_23,join(X_24,B))
| converse(join(join(X_23,X_24),B)) = converse(join(X_23,join(X_24,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_23,X_24),B)),converse(join(join(X_23,X_24),B))) ),[1,0],$fot(join(X_23,join(X_24,B)))]]) ).
cnf(refute_0_1296,plain,
( join(join(X_23,X_24),B) != join(X_23,join(X_24,B))
| converse(join(join(X_23,X_24),B)) = converse(join(X_23,join(X_24,B))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_23,X_24),B)),converse(join(join(X_23,X_24),B))) )],[refute_0_1294,refute_0_1295]) ).
cnf(refute_0_1297,plain,
converse(join(join(X_23,X_24),B)) = converse(join(X_23,join(X_24,B))),
inference(resolve,[$cnf( $equal(join(join(X_23,X_24),B),join(X_23,join(X_24,B))) )],[refute_0_1293,refute_0_1296]) ).
cnf(refute_0_1298,plain,
( converse(join(join(X_23,X_24),B)) != converse(join(X_23,join(X_24,B)))
| converse(join(join(X_23,X_24),B)) != join(converse(join(X_24,X_23)),converse(B))
| converse(join(X_23,join(X_24,B))) = join(converse(join(X_24,X_23)),converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_23,X_24),B)),join(converse(join(X_24,X_23)),converse(B))) ),[0],$fot(converse(join(X_23,join(X_24,B))))]]) ).
cnf(refute_0_1299,plain,
( converse(join(join(X_23,X_24),B)) != join(converse(join(X_24,X_23)),converse(B))
| converse(join(X_23,join(X_24,B))) = join(converse(join(X_24,X_23)),converse(B)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_23,X_24),B)),converse(join(X_23,join(X_24,B)))) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
join(join(X_24,X_23),B) = join(X_24,join(X_23,B)),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_24)),bind(B,$fot(X_23)),bind(C,$fot(B))]]) ).
cnf(refute_0_1301,plain,
converse(join(join(X_24,X_23),B)) = converse(join(join(X_24,X_23),B)),
introduced(tautology,[refl,[$fot(converse(join(join(X_24,X_23),B)))]]) ).
cnf(refute_0_1302,plain,
( converse(join(join(X_24,X_23),B)) != converse(join(join(X_24,X_23),B))
| join(join(X_24,X_23),B) != join(X_24,join(X_23,B))
| converse(join(join(X_24,X_23),B)) = converse(join(X_24,join(X_23,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_24,X_23),B)),converse(join(join(X_24,X_23),B))) ),[1,0],$fot(join(X_24,join(X_23,B)))]]) ).
cnf(refute_0_1303,plain,
( join(join(X_24,X_23),B) != join(X_24,join(X_23,B))
| converse(join(join(X_24,X_23),B)) = converse(join(X_24,join(X_23,B))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_24,X_23),B)),converse(join(join(X_24,X_23),B))) )],[refute_0_1301,refute_0_1302]) ).
cnf(refute_0_1304,plain,
converse(join(join(X_24,X_23),B)) = converse(join(X_24,join(X_23,B))),
inference(resolve,[$cnf( $equal(join(join(X_24,X_23),B),join(X_24,join(X_23,B))) )],[refute_0_1300,refute_0_1303]) ).
cnf(refute_0_1305,plain,
join(converse(join(X_24,X_23)),converse(B)) = converse(join(join(X_24,X_23),B)),
inference(subst,[],[refute_0_682:[bind(A,$fot(join(X_24,X_23)))]]) ).
cnf(refute_0_1306,plain,
( converse(join(join(X_24,X_23),B)) != converse(join(X_24,join(X_23,B)))
| join(converse(join(X_24,X_23)),converse(B)) != converse(join(join(X_24,X_23),B))
| join(converse(join(X_24,X_23)),converse(B)) = converse(join(X_24,join(X_23,B))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(join(X_24,X_23)),converse(B)))),bind(Y,$fot(converse(join(join(X_24,X_23),B)))),bind(Z,$fot(converse(join(X_24,join(X_23,B)))))]]) ).
cnf(refute_0_1307,plain,
( converse(join(join(X_24,X_23),B)) != converse(join(X_24,join(X_23,B)))
| join(converse(join(X_24,X_23)),converse(B)) = converse(join(X_24,join(X_23,B))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_24,X_23)),converse(B)),converse(join(join(X_24,X_23),B))) )],[refute_0_1305,refute_0_1306]) ).
cnf(refute_0_1308,plain,
join(converse(join(X_24,X_23)),converse(B)) = converse(join(X_24,join(X_23,B))),
inference(resolve,[$cnf( $equal(converse(join(join(X_24,X_23),B)),converse(join(X_24,join(X_23,B)))) )],[refute_0_1304,refute_0_1307]) ).
cnf(refute_0_1309,plain,
( converse(join(X_23,join(X_24,B))) != join(converse(join(X_24,X_23)),converse(B))
| join(converse(join(X_24,X_23)),converse(B)) != converse(join(X_24,join(X_23,B)))
| converse(join(X_23,join(X_24,B))) = converse(join(X_24,join(X_23,B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_23,join(X_24,B))),converse(join(X_24,join(X_23,B)))) ),[0],$fot(join(converse(join(X_24,X_23)),converse(B)))]]) ).
cnf(refute_0_1310,plain,
( converse(join(X_23,join(X_24,B))) != join(converse(join(X_24,X_23)),converse(B))
| converse(join(X_23,join(X_24,B))) = converse(join(X_24,join(X_23,B))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_24,X_23)),converse(B)),converse(join(X_24,join(X_23,B)))) )],[refute_0_1308,refute_0_1309]) ).
cnf(refute_0_1311,plain,
( converse(join(join(X_23,X_24),B)) != join(converse(join(X_24,X_23)),converse(B))
| converse(join(X_23,join(X_24,B))) = converse(join(X_24,join(X_23,B))) ),
inference(resolve,[$cnf( $equal(converse(join(X_23,join(X_24,B))),join(converse(join(X_24,X_23)),converse(B))) )],[refute_0_1299,refute_0_1310]) ).
cnf(refute_0_1312,plain,
converse(join(X_23,join(X_24,B))) = converse(join(X_24,join(X_23,B))),
inference(resolve,[$cnf( $equal(converse(join(join(X_23,X_24),B)),join(converse(join(X_24,X_23)),converse(B))) )],[refute_0_1292,refute_0_1311]) ).
cnf(refute_0_1313,plain,
converse(join(X_145,join(X_146,X_144))) = converse(join(X_146,join(X_145,X_144))),
inference(subst,[],[refute_0_1312:[bind(B,$fot(X_144)),bind(X_23,$fot(X_145)),bind(X_24,$fot(X_146))]]) ).
cnf(refute_0_1314,plain,
( converse(converse(join(X_145,join(X_146,X_144)))) != join(X_145,join(X_146,X_144))
| converse(join(X_145,join(X_146,X_144))) != converse(join(X_146,join(X_145,X_144)))
| converse(converse(join(X_146,join(X_145,X_144)))) = join(X_145,join(X_146,X_144)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_145,join(X_146,X_144)))),join(X_145,join(X_146,X_144))) ),[0,0],$fot(converse(join(X_146,join(X_145,X_144))))]]) ).
cnf(refute_0_1315,plain,
( converse(converse(join(X_145,join(X_146,X_144)))) != join(X_145,join(X_146,X_144))
| converse(converse(join(X_146,join(X_145,X_144)))) = join(X_145,join(X_146,X_144)) ),
inference(resolve,[$cnf( $equal(converse(join(X_145,join(X_146,X_144))),converse(join(X_146,join(X_145,X_144)))) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
converse(converse(join(X_146,join(X_145,X_144)))) = join(X_145,join(X_146,X_144)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_145,join(X_146,X_144)))),join(X_145,join(X_146,X_144))) )],[refute_0_1288,refute_0_1315]) ).
cnf(refute_0_1317,plain,
converse(converse(join(X_146,join(X_145,X_144)))) = join(X_146,join(X_145,X_144)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(X_146,join(X_145,X_144))))]]) ).
cnf(refute_0_1318,plain,
( converse(converse(join(X_146,join(X_145,X_144)))) != join(X_145,join(X_146,X_144))
| converse(converse(join(X_146,join(X_145,X_144)))) != join(X_146,join(X_145,X_144))
| join(X_146,join(X_145,X_144)) = join(X_145,join(X_146,X_144)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_146,join(X_145,X_144)))),join(X_145,join(X_146,X_144))) ),[0],$fot(join(X_146,join(X_145,X_144)))]]) ).
cnf(refute_0_1319,plain,
( converse(converse(join(X_146,join(X_145,X_144)))) != join(X_145,join(X_146,X_144))
| join(X_146,join(X_145,X_144)) = join(X_145,join(X_146,X_144)) ),
inference(resolve,[$cnf( $equal(converse(converse(join(X_146,join(X_145,X_144)))),join(X_146,join(X_145,X_144))) )],[refute_0_1317,refute_0_1318]) ).
cnf(refute_0_1320,plain,
join(X_146,join(X_145,X_144)) = join(X_145,join(X_146,X_144)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_146,join(X_145,X_144)))),join(X_145,join(X_146,X_144))) )],[refute_0_1316,refute_0_1319]) ).
cnf(refute_0_1321,plain,
( join(X_146,join(X_145,X_144)) != join(X_145,join(X_146,X_144))
| join(X_145,join(X_146,X_144)) = join(X_146,join(X_145,X_144)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_146,join(X_145,X_144)))),bind(Y,$fot(join(X_145,join(X_146,X_144))))]]) ).
cnf(refute_0_1322,plain,
join(X_145,join(X_146,X_144)) = join(X_146,join(X_145,X_144)),
inference(resolve,[$cnf( $equal(join(X_146,join(X_145,X_144)),join(X_145,join(X_146,X_144))) )],[refute_0_1320,refute_0_1321]) ).
cnf(refute_0_1323,plain,
join(converse(X_206),join(one,X_207)) = join(one,join(converse(X_206),X_207)),
inference(subst,[],[refute_0_1322:[bind(X_144,$fot(X_207)),bind(X_145,$fot(converse(X_206))),bind(X_146,$fot(one))]]) ).
cnf(refute_0_1324,plain,
( join(converse(X_206),join(one,X_207)) != join(one,join(converse(X_206),X_207))
| join(converse(join(X_206,one)),X_207) != join(converse(X_206),join(one,X_207))
| join(converse(join(X_206,one)),X_207) = join(one,join(converse(X_206),X_207)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_206,one)),X_207),join(converse(X_206),join(one,X_207))) ),[1],$fot(join(one,join(converse(X_206),X_207)))]]) ).
cnf(refute_0_1325,plain,
( join(converse(join(X_206,one)),X_207) != join(converse(X_206),join(one,X_207))
| join(converse(join(X_206,one)),X_207) = join(one,join(converse(X_206),X_207)) ),
inference(resolve,[$cnf( $equal(join(converse(X_206),join(one,X_207)),join(one,join(converse(X_206),X_207))) )],[refute_0_1323,refute_0_1324]) ).
cnf(refute_0_1326,plain,
join(converse(join(X_206,one)),X_207) = join(one,join(converse(X_206),X_207)),
inference(resolve,[$cnf( $equal(join(converse(join(X_206,one)),X_207),join(converse(X_206),join(one,X_207))) )],[refute_0_1287,refute_0_1325]) ).
cnf(refute_0_1327,plain,
join(converse(join(converse(join(X_206,one)),one)),X_249) = join(one,join(converse(converse(join(X_206,one))),X_249)),
inference(subst,[],[refute_0_1326:[bind(X_206,$fot(converse(join(X_206,one)))),bind(X_207,$fot(X_249))]]) ).
cnf(refute_0_1328,plain,
join(converse(join(X_206,one)),one) = join(one,join(converse(X_206),one)),
inference(subst,[],[refute_0_1326:[bind(X_207,$fot(one))]]) ).
cnf(refute_0_1329,plain,
( join(converse(join(X_206,one)),one) != join(one,join(converse(X_206),one))
| join(converse(join(converse(join(X_206,one)),one)),X_249) != join(one,join(converse(converse(join(X_206,one))),X_249))
| join(converse(join(one,join(converse(X_206),one))),X_249) = join(one,join(converse(converse(join(X_206,one))),X_249)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(converse(join(X_206,one)),one)),X_249),join(one,join(converse(converse(join(X_206,one))),X_249))) ),[0,0,0],$fot(join(one,join(converse(X_206),one)))]]) ).
cnf(refute_0_1330,plain,
( join(converse(join(converse(join(X_206,one)),one)),X_249) != join(one,join(converse(converse(join(X_206,one))),X_249))
| join(converse(join(one,join(converse(X_206),one))),X_249) = join(one,join(converse(converse(join(X_206,one))),X_249)) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_206,one)),one),join(one,join(converse(X_206),one))) )],[refute_0_1328,refute_0_1329]) ).
cnf(refute_0_1331,plain,
join(converse(join(one,join(converse(X_206),one))),X_249) = join(one,join(converse(converse(join(X_206,one))),X_249)),
inference(resolve,[$cnf( $equal(join(converse(join(converse(join(X_206,one)),one)),X_249),join(one,join(converse(converse(join(X_206,one))),X_249))) )],[refute_0_1327,refute_0_1330]) ).
cnf(refute_0_1332,plain,
join(A,join(one,join(one,X_122))) = join(join(A,one),join(one,X_122)),
inference(subst,[],[maddux2_join_associativity_2:[bind(B,$fot(one)),bind(C,$fot(join(one,X_122)))]]) ).
cnf(refute_0_1333,plain,
join(one,join(one,X_121)) = join(join(one,one),X_121),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(one)),bind(B,$fot(one)),bind(C,$fot(X_121))]]) ).
cnf(refute_0_1334,plain,
join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(composition(converse(X_35),converse(X_34))))) = complement(converse(X_34)),
inference(subst,[],[refute_0_437:[bind(A,$fot(converse(X_35))),bind(B,$fot(converse(X_34)))]]) ).
cnf(refute_0_1335,plain,
converse(composition(X_34,X_35)) = composition(converse(X_35),converse(X_34)),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(X_34)),bind(B,$fot(X_35))]]) ).
cnf(refute_0_1336,plain,
( converse(composition(X_34,X_35)) != composition(converse(X_35),converse(X_34))
| composition(converse(X_35),converse(X_34)) = converse(composition(X_34,X_35)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_34,X_35)))),bind(Y,$fot(composition(converse(X_35),converse(X_34))))]]) ).
cnf(refute_0_1337,plain,
composition(converse(X_35),converse(X_34)) = converse(composition(X_34,X_35)),
inference(resolve,[$cnf( $equal(converse(composition(X_34,X_35)),composition(converse(X_35),converse(X_34))) )],[refute_0_1335,refute_0_1336]) ).
cnf(refute_0_1338,plain,
( composition(converse(X_35),converse(X_34)) != converse(composition(X_34,X_35))
| join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(composition(converse(X_35),converse(X_34))))) != complement(converse(X_34))
| join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) = complement(converse(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(composition(converse(X_35),converse(X_34))))),complement(converse(X_34))) ),[0,1,1,0],$fot(converse(composition(X_34,X_35)))]]) ).
cnf(refute_0_1339,plain,
( join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(composition(converse(X_35),converse(X_34))))) != complement(converse(X_34))
| join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) = complement(converse(X_34)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_35),converse(X_34)),converse(composition(X_34,X_35))) )],[refute_0_1337,refute_0_1338]) ).
cnf(refute_0_1340,plain,
join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) = complement(converse(X_34)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(composition(converse(X_35),converse(X_34))))),complement(converse(X_34))) )],[refute_0_1334,refute_0_1339]) ).
cnf(refute_0_1341,plain,
converse(converse(X_35)) = X_35,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_35))]]) ).
cnf(refute_0_1342,plain,
composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))) = composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))))]]) ).
cnf(refute_0_1343,plain,
( composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))) != composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))
| converse(converse(X_35)) != X_35
| composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))) = composition(X_35,complement(converse(composition(X_34,X_35)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) ),[1,0],$fot(X_35)]]) ).
cnf(refute_0_1344,plain,
( converse(converse(X_35)) != X_35
| composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))) = composition(X_35,complement(converse(composition(X_34,X_35)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) )],[refute_0_1342,refute_0_1343]) ).
cnf(refute_0_1345,plain,
composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))) = composition(X_35,complement(converse(composition(X_34,X_35)))),
inference(resolve,[$cnf( $equal(converse(converse(X_35)),X_35) )],[refute_0_1341,refute_0_1344]) ).
cnf(refute_0_1346,plain,
join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) = join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))))]]) ).
cnf(refute_0_1347,plain,
( composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))) != composition(X_35,complement(converse(composition(X_34,X_35))))
| join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) != join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))))
| join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) = join(complement(converse(X_34)),composition(X_35,complement(converse(composition(X_34,X_35))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))),join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))))) ),[1,1],$fot(composition(X_35,complement(converse(composition(X_34,X_35)))))]]) ).
cnf(refute_0_1348,plain,
( composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))) != composition(X_35,complement(converse(composition(X_34,X_35))))
| join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) = join(complement(converse(X_34)),composition(X_35,complement(converse(composition(X_34,X_35))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))),join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))))) )],[refute_0_1346,refute_0_1347]) ).
cnf(refute_0_1349,plain,
join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) = join(complement(converse(X_34)),composition(X_35,complement(converse(composition(X_34,X_35))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35)))),composition(X_35,complement(converse(composition(X_34,X_35))))) )],[refute_0_1345,refute_0_1348]) ).
cnf(refute_0_1350,plain,
( join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) != complement(converse(X_34))
| join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) != join(complement(converse(X_34)),composition(X_35,complement(converse(composition(X_34,X_35)))))
| join(complement(converse(X_34)),composition(X_35,complement(converse(composition(X_34,X_35))))) = complement(converse(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))),complement(converse(X_34))) ),[0],$fot(join(complement(converse(X_34)),composition(X_35,complement(converse(composition(X_34,X_35))))))]]) ).
cnf(refute_0_1351,plain,
( join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))) != complement(converse(X_34))
| join(complement(converse(X_34)),composition(X_35,complement(converse(composition(X_34,X_35))))) = complement(converse(X_34)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))),join(complement(converse(X_34)),composition(X_35,complement(converse(composition(X_34,X_35)))))) )],[refute_0_1349,refute_0_1350]) ).
cnf(refute_0_1352,plain,
join(complement(converse(X_34)),composition(X_35,complement(converse(composition(X_34,X_35))))) = complement(converse(X_34)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_34)),composition(converse(converse(X_35)),complement(converse(composition(X_34,X_35))))),complement(converse(X_34))) )],[refute_0_1340,refute_0_1351]) ).
cnf(refute_0_1353,plain,
join(complement(converse(complement(one))),composition(X_106,complement(converse(composition(complement(one),X_106))))) = complement(converse(complement(one))),
inference(subst,[],[refute_0_1352:[bind(X_34,$fot(complement(one))),bind(X_35,$fot(X_106))]]) ).
cnf(refute_0_1354,plain,
converse(join(converse(complement(one)),complement(one))) = converse(join(complement(one),converse(complement(one)))),
inference(subst,[],[refute_0_722:[bind(A,$fot(converse(complement(one)))),bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_1355,plain,
join(complement(one),composition(converse(X_11),complement(composition(X_11,one)))) = complement(one),
inference(subst,[],[refute_0_437:[bind(A,$fot(X_11)),bind(B,$fot(one))]]) ).
cnf(refute_0_1356,plain,
composition(X_11,one) = X_11,
inference(subst,[],[composition_identity_6:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_1357,plain,
( composition(X_11,one) != X_11
| join(complement(one),composition(converse(X_11),complement(composition(X_11,one)))) != complement(one)
| join(complement(one),composition(converse(X_11),complement(X_11))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_11),complement(composition(X_11,one)))),complement(one)) ),[0,1,1,0],$fot(X_11)]]) ).
cnf(refute_0_1358,plain,
( join(complement(one),composition(converse(X_11),complement(composition(X_11,one)))) != complement(one)
| join(complement(one),composition(converse(X_11),complement(X_11))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(X_11,one),X_11) )],[refute_0_1356,refute_0_1357]) ).
cnf(refute_0_1359,plain,
join(complement(one),composition(converse(X_11),complement(X_11))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_11),complement(composition(X_11,one)))),complement(one)) )],[refute_0_1355,refute_0_1358]) ).
cnf(refute_0_1360,plain,
join(complement(one),composition(converse(complement(one)),complement(complement(one)))) = complement(one),
inference(subst,[],[refute_0_1359:[bind(X_11,$fot(complement(one)))]]) ).
cnf(refute_0_1361,plain,
one = join(meet(one,composition(converse(X_11),complement(X_11))),complement(join(complement(one),composition(converse(X_11),complement(X_11))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(one)),bind(B,$fot(composition(converse(X_11),complement(X_11))))]]) ).
cnf(refute_0_1362,plain,
( join(complement(one),composition(converse(X_11),complement(X_11))) != complement(one)
| one != join(meet(one,composition(converse(X_11),complement(X_11))),complement(join(complement(one),composition(converse(X_11),complement(X_11)))))
| one = join(meet(one,composition(converse(X_11),complement(X_11))),complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,composition(converse(X_11),complement(X_11))),complement(join(complement(one),composition(converse(X_11),complement(X_11)))))) ),[1,1,0],$fot(complement(one))]]) ).
cnf(refute_0_1363,plain,
( one != join(meet(one,composition(converse(X_11),complement(X_11))),complement(join(complement(one),composition(converse(X_11),complement(X_11)))))
| one = join(meet(one,composition(converse(X_11),complement(X_11))),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_11),complement(X_11))),complement(one)) )],[refute_0_1359,refute_0_1362]) ).
cnf(refute_0_1364,plain,
one = join(meet(one,composition(converse(X_11),complement(X_11))),complement(complement(one))),
inference(resolve,[$cnf( $equal(one,join(meet(one,composition(converse(X_11),complement(X_11))),complement(join(complement(one),composition(converse(X_11),complement(X_11)))))) )],[refute_0_1361,refute_0_1363]) ).
cnf(refute_0_1365,plain,
join(meet(one,composition(converse(X_11),complement(X_11))),complement(complement(one))) = join(complement(complement(one)),meet(one,composition(converse(X_11),complement(X_11)))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(complement(one)))),bind(B,$fot(meet(one,composition(converse(X_11),complement(X_11)))))]]) ).
cnf(refute_0_1366,plain,
( join(meet(one,composition(converse(X_11),complement(X_11))),complement(complement(one))) != join(complement(complement(one)),meet(one,composition(converse(X_11),complement(X_11))))
| one != join(meet(one,composition(converse(X_11),complement(X_11))),complement(complement(one)))
| one = join(complement(complement(one)),meet(one,composition(converse(X_11),complement(X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,composition(converse(X_11),complement(X_11))),complement(complement(one)))) ),[1],$fot(join(complement(complement(one)),meet(one,composition(converse(X_11),complement(X_11)))))]]) ).
cnf(refute_0_1367,plain,
( one != join(meet(one,composition(converse(X_11),complement(X_11))),complement(complement(one)))
| one = join(complement(complement(one)),meet(one,composition(converse(X_11),complement(X_11)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,composition(converse(X_11),complement(X_11))),complement(complement(one))),join(complement(complement(one)),meet(one,composition(converse(X_11),complement(X_11))))) )],[refute_0_1365,refute_0_1366]) ).
cnf(refute_0_1368,plain,
one = join(complement(complement(one)),meet(one,composition(converse(X_11),complement(X_11)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,composition(converse(X_11),complement(X_11))),complement(complement(one)))) )],[refute_0_1364,refute_0_1367]) ).
cnf(refute_0_1369,plain,
one = join(complement(complement(one)),meet(one,composition(converse(one),complement(one)))),
inference(subst,[],[refute_0_1368:[bind(X_11,$fot(one))]]) ).
cnf(refute_0_1370,plain,
( converse(one) != one
| one != join(complement(complement(one)),meet(one,composition(converse(one),complement(one))))
| one = join(complement(complement(one)),meet(one,composition(one,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(complement(one)),meet(one,composition(converse(one),complement(one))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_1371,plain,
( one != join(complement(complement(one)),meet(one,composition(converse(one),complement(one))))
| one = join(complement(complement(one)),meet(one,composition(one,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_38,refute_0_1370]) ).
cnf(refute_0_1372,plain,
one = join(complement(complement(one)),meet(one,composition(one,complement(one)))),
inference(resolve,[$cnf( $equal(one,join(complement(complement(one)),meet(one,composition(converse(one),complement(one))))) )],[refute_0_1369,refute_0_1371]) ).
cnf(refute_0_1373,plain,
join(complement(complement(one)),zero) = join(zero,complement(complement(one))),
inference(subst,[],[refute_0_53:[bind(A,$fot(zero)),bind(B,$fot(complement(complement(one))))]]) ).
cnf(refute_0_1374,plain,
( zero != meet(A,complement(A))
| meet(A,complement(A)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(meet(A,complement(A))))]]) ).
cnf(refute_0_1375,plain,
meet(A,complement(A)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(A,complement(A))) )],[def_zero_13,refute_0_1374]) ).
cnf(refute_0_1376,plain,
meet(one,complement(one)) = zero,
inference(subst,[],[refute_0_1375:[bind(A,$fot(one))]]) ).
cnf(refute_0_1377,plain,
composition(one,complement(one)) = complement(one),
inference(subst,[],[refute_0_458:[bind(X_36,$fot(complement(one)))]]) ).
cnf(refute_0_1378,plain,
meet(one,composition(one,complement(one))) = meet(one,composition(one,complement(one))),
introduced(tautology,[refl,[$fot(meet(one,composition(one,complement(one))))]]) ).
cnf(refute_0_1379,plain,
( composition(one,complement(one)) != complement(one)
| meet(one,composition(one,complement(one))) != meet(one,composition(one,complement(one)))
| meet(one,composition(one,complement(one))) = meet(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(one,complement(one))),meet(one,composition(one,complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1380,plain,
( composition(one,complement(one)) != complement(one)
| meet(one,composition(one,complement(one))) = meet(one,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(one,composition(one,complement(one))),meet(one,composition(one,complement(one)))) )],[refute_0_1378,refute_0_1379]) ).
cnf(refute_0_1381,plain,
meet(one,composition(one,complement(one))) = meet(one,complement(one)),
inference(resolve,[$cnf( $equal(composition(one,complement(one)),complement(one)) )],[refute_0_1377,refute_0_1380]) ).
cnf(refute_0_1382,plain,
( meet(one,complement(one)) != zero
| meet(one,composition(one,complement(one))) != meet(one,complement(one))
| meet(one,composition(one,complement(one))) = zero ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(one,composition(one,complement(one))))),bind(Y,$fot(meet(one,complement(one)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1383,plain,
( meet(one,complement(one)) != zero
| meet(one,composition(one,complement(one))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,composition(one,complement(one))),meet(one,complement(one))) )],[refute_0_1381,refute_0_1382]) ).
cnf(refute_0_1384,plain,
meet(one,composition(one,complement(one))) = zero,
inference(resolve,[$cnf( $equal(meet(one,complement(one)),zero) )],[refute_0_1376,refute_0_1383]) ).
cnf(refute_0_1385,plain,
join(complement(complement(one)),meet(one,composition(one,complement(one)))) = join(complement(complement(one)),meet(one,composition(one,complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(complement(one)),meet(one,composition(one,complement(one)))))]]) ).
cnf(refute_0_1386,plain,
( join(complement(complement(one)),meet(one,composition(one,complement(one)))) != join(complement(complement(one)),meet(one,composition(one,complement(one))))
| meet(one,composition(one,complement(one))) != zero
| join(complement(complement(one)),meet(one,composition(one,complement(one)))) = join(complement(complement(one)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),meet(one,composition(one,complement(one)))),join(complement(complement(one)),meet(one,composition(one,complement(one))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1387,plain,
( meet(one,composition(one,complement(one))) != zero
| join(complement(complement(one)),meet(one,composition(one,complement(one)))) = join(complement(complement(one)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(one,composition(one,complement(one)))),join(complement(complement(one)),meet(one,composition(one,complement(one))))) )],[refute_0_1385,refute_0_1386]) ).
cnf(refute_0_1388,plain,
join(complement(complement(one)),meet(one,composition(one,complement(one)))) = join(complement(complement(one)),zero),
inference(resolve,[$cnf( $equal(meet(one,composition(one,complement(one))),zero) )],[refute_0_1384,refute_0_1387]) ).
cnf(refute_0_1389,plain,
( join(complement(complement(one)),meet(one,composition(one,complement(one)))) != join(complement(complement(one)),zero)
| join(complement(complement(one)),zero) != join(zero,complement(complement(one)))
| join(complement(complement(one)),meet(one,composition(one,complement(one)))) = join(zero,complement(complement(one))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(one)),meet(one,composition(one,complement(one)))))),bind(Y,$fot(join(complement(complement(one)),zero))),bind(Z,$fot(join(zero,complement(complement(one)))))]]) ).
cnf(refute_0_1390,plain,
( join(complement(complement(one)),zero) != join(zero,complement(complement(one)))
| join(complement(complement(one)),meet(one,composition(one,complement(one)))) = join(zero,complement(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(one,composition(one,complement(one)))),join(complement(complement(one)),zero)) )],[refute_0_1388,refute_0_1389]) ).
cnf(refute_0_1391,plain,
join(complement(complement(one)),meet(one,composition(one,complement(one)))) = join(zero,complement(complement(one))),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),zero),join(zero,complement(complement(one)))) )],[refute_0_1373,refute_0_1390]) ).
cnf(refute_0_1392,plain,
( join(complement(complement(one)),meet(one,composition(one,complement(one)))) != join(zero,complement(complement(one)))
| one != join(complement(complement(one)),meet(one,composition(one,complement(one))))
| one = join(zero,complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(complement(one)),meet(one,composition(one,complement(one))))) ),[1],$fot(join(zero,complement(complement(one))))]]) ).
cnf(refute_0_1393,plain,
( one != join(complement(complement(one)),meet(one,composition(one,complement(one))))
| one = join(zero,complement(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(one,composition(one,complement(one)))),join(zero,complement(complement(one)))) )],[refute_0_1391,refute_0_1392]) ).
cnf(refute_0_1394,plain,
one = join(zero,complement(complement(one))),
inference(resolve,[$cnf( $equal(one,join(complement(complement(one)),meet(one,composition(one,complement(one))))) )],[refute_0_1372,refute_0_1393]) ).
cnf(refute_0_1395,plain,
meet(top,complement(one)) = complement(join(zero,complement(complement(one)))),
inference(subst,[],[refute_0_282:[bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_1396,plain,
( one != join(zero,complement(complement(one)))
| join(zero,complement(complement(one))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(zero,complement(complement(one)))))]]) ).
cnf(refute_0_1397,plain,
join(zero,complement(complement(one))) = one,
inference(resolve,[$cnf( $equal(one,join(zero,complement(complement(one)))) )],[refute_0_1394,refute_0_1396]) ).
cnf(refute_0_1398,plain,
( join(zero,complement(complement(one))) != one
| meet(top,complement(one)) != complement(join(zero,complement(complement(one))))
| meet(top,complement(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(one)),complement(join(zero,complement(complement(one))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1399,plain,
( meet(top,complement(one)) != complement(join(zero,complement(complement(one))))
| meet(top,complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(one))),one) )],[refute_0_1397,refute_0_1398]) ).
cnf(refute_0_1400,plain,
meet(top,complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(join(zero,complement(complement(one))))) )],[refute_0_1395,refute_0_1399]) ).
cnf(refute_0_1401,plain,
complement(meet(top,complement(one))) = complement(meet(top,complement(one))),
introduced(tautology,[refl,[$fot(complement(meet(top,complement(one))))]]) ).
cnf(refute_0_1402,plain,
( complement(meet(top,complement(one))) != complement(meet(top,complement(one)))
| meet(top,complement(one)) != complement(one)
| complement(meet(top,complement(one))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,complement(one))),complement(meet(top,complement(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1403,plain,
( meet(top,complement(one)) != complement(one)
| complement(meet(top,complement(one))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(one))),complement(meet(top,complement(one)))) )],[refute_0_1401,refute_0_1402]) ).
cnf(refute_0_1404,plain,
complement(meet(top,complement(one))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_1400,refute_0_1403]) ).
cnf(refute_0_1405,plain,
join(zero,complement(complement(one))) = complement(meet(top,complement(one))),
inference(subst,[],[refute_0_381:[bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_1406,plain,
( complement(meet(top,complement(one))) != complement(complement(one))
| join(zero,complement(complement(one))) != complement(meet(top,complement(one)))
| join(zero,complement(complement(one))) = complement(complement(one)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,complement(complement(one))))),bind(Y,$fot(complement(meet(top,complement(one))))),bind(Z,$fot(complement(complement(one))))]]) ).
cnf(refute_0_1407,plain,
( complement(meet(top,complement(one))) != complement(complement(one))
| join(zero,complement(complement(one))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(one))),complement(meet(top,complement(one)))) )],[refute_0_1405,refute_0_1406]) ).
cnf(refute_0_1408,plain,
join(zero,complement(complement(one))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(one))),complement(complement(one))) )],[refute_0_1404,refute_0_1407]) ).
cnf(refute_0_1409,plain,
( join(zero,complement(complement(one))) != complement(complement(one))
| one != join(zero,complement(complement(one)))
| one = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(zero,complement(complement(one)))) ),[1],$fot(complement(complement(one)))]]) ).
cnf(refute_0_1410,plain,
( one != join(zero,complement(complement(one)))
| one = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(one))),complement(complement(one))) )],[refute_0_1408,refute_0_1409]) ).
cnf(refute_0_1411,plain,
one = complement(complement(one)),
inference(resolve,[$cnf( $equal(one,join(zero,complement(complement(one)))) )],[refute_0_1394,refute_0_1410]) ).
cnf(refute_0_1412,plain,
( one != complement(complement(one))
| complement(complement(one)) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(complement(complement(one))))]]) ).
cnf(refute_0_1413,plain,
complement(complement(one)) = one,
inference(resolve,[$cnf( $equal(one,complement(complement(one))) )],[refute_0_1411,refute_0_1412]) ).
cnf(refute_0_1414,plain,
( complement(complement(one)) != one
| join(complement(one),composition(converse(complement(one)),complement(complement(one)))) != complement(one)
| join(complement(one),composition(converse(complement(one)),one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(complement(one)),complement(complement(one)))),complement(one)) ),[0,1,1],$fot(one)]]) ).
cnf(refute_0_1415,plain,
( join(complement(one),composition(converse(complement(one)),complement(complement(one)))) != complement(one)
| join(complement(one),composition(converse(complement(one)),one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1413,refute_0_1414]) ).
cnf(refute_0_1416,plain,
join(complement(one),composition(converse(complement(one)),one)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(complement(one)),complement(complement(one)))),complement(one)) )],[refute_0_1360,refute_0_1415]) ).
cnf(refute_0_1417,plain,
composition(converse(complement(one)),one) = converse(complement(one)),
inference(subst,[],[composition_identity_6:[bind(A,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1418,plain,
join(complement(one),composition(converse(complement(one)),one)) = join(complement(one),composition(converse(complement(one)),one)),
introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(complement(one)),one)))]]) ).
cnf(refute_0_1419,plain,
( composition(converse(complement(one)),one) != converse(complement(one))
| join(complement(one),composition(converse(complement(one)),one)) != join(complement(one),composition(converse(complement(one)),one))
| join(complement(one),composition(converse(complement(one)),one)) = join(complement(one),converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(complement(one)),one)),join(complement(one),composition(converse(complement(one)),one))) ),[1,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1420,plain,
( composition(converse(complement(one)),one) != converse(complement(one))
| join(complement(one),composition(converse(complement(one)),one)) = join(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(complement(one)),one)),join(complement(one),composition(converse(complement(one)),one))) )],[refute_0_1418,refute_0_1419]) ).
cnf(refute_0_1421,plain,
join(complement(one),composition(converse(complement(one)),one)) = join(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(composition(converse(complement(one)),one),converse(complement(one))) )],[refute_0_1417,refute_0_1420]) ).
cnf(refute_0_1422,plain,
( join(complement(one),composition(converse(complement(one)),one)) != complement(one)
| join(complement(one),composition(converse(complement(one)),one)) != join(complement(one),converse(complement(one)))
| join(complement(one),converse(complement(one))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(complement(one)),one)),complement(one)) ),[0],$fot(join(complement(one),converse(complement(one))))]]) ).
cnf(refute_0_1423,plain,
( join(complement(one),composition(converse(complement(one)),one)) != complement(one)
| join(complement(one),converse(complement(one))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(complement(one)),one)),join(complement(one),converse(complement(one)))) )],[refute_0_1421,refute_0_1422]) ).
cnf(refute_0_1424,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(complement(one)),one)),complement(one)) )],[refute_0_1416,refute_0_1423]) ).
cnf(refute_0_1425,plain,
( converse(join(converse(complement(one)),complement(one))) != converse(join(complement(one),converse(complement(one))))
| join(complement(one),converse(complement(one))) != complement(one)
| converse(join(converse(complement(one)),complement(one))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(join(complement(one),converse(complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1426,plain,
( converse(join(converse(complement(one)),complement(one))) != converse(join(complement(one),converse(complement(one))))
| converse(join(converse(complement(one)),complement(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(one))),complement(one)) )],[refute_0_1424,refute_0_1425]) ).
cnf(refute_0_1427,plain,
converse(join(converse(complement(one)),complement(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(join(complement(one),converse(complement(one))))) )],[refute_0_1354,refute_0_1426]) ).
cnf(refute_0_1428,plain,
join(converse(complement(one)),complement(one)) = join(complement(one),converse(complement(one))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(one))),bind(B,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1429,plain,
( join(complement(one),converse(complement(one))) != complement(one)
| join(converse(complement(one)),complement(one)) != join(complement(one),converse(complement(one)))
| join(converse(complement(one)),complement(one)) = complement(one) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(complement(one)),complement(one)))),bind(Y,$fot(join(complement(one),converse(complement(one))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1430,plain,
( join(complement(one),converse(complement(one))) != complement(one)
| join(converse(complement(one)),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(one)),join(complement(one),converse(complement(one)))) )],[refute_0_1428,refute_0_1429]) ).
cnf(refute_0_1431,plain,
join(converse(complement(one)),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(one))),complement(one)) )],[refute_0_1424,refute_0_1430]) ).
cnf(refute_0_1432,plain,
converse(join(complement(one),converse(complement(one)))) = join(converse(complement(one)),complement(one)),
inference(subst,[],[refute_0_128:[bind(A,$fot(complement(one))),bind(X_4,$fot(complement(one)))]]) ).
cnf(refute_0_1433,plain,
( converse(join(complement(one),converse(complement(one)))) != join(converse(complement(one)),complement(one))
| join(converse(complement(one)),complement(one)) != complement(one)
| converse(join(complement(one),converse(complement(one)))) = complement(one) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(complement(one),converse(complement(one)))))),bind(Y,$fot(join(converse(complement(one)),complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1434,plain,
( join(converse(complement(one)),complement(one)) != complement(one)
| converse(join(complement(one),converse(complement(one)))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(complement(one)))),join(converse(complement(one)),complement(one))) )],[refute_0_1432,refute_0_1433]) ).
cnf(refute_0_1435,plain,
converse(join(complement(one),converse(complement(one)))) = complement(one),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(one)),complement(one)) )],[refute_0_1431,refute_0_1434]) ).
cnf(refute_0_1436,plain,
( converse(join(complement(one),converse(complement(one)))) != complement(one)
| converse(join(converse(complement(one)),complement(one))) != converse(join(complement(one),converse(complement(one))))
| converse(join(converse(complement(one)),complement(one))) = complement(one) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(converse(complement(one)),complement(one))))),bind(Y,$fot(converse(join(complement(one),converse(complement(one)))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1437,plain,
( converse(join(complement(one),converse(complement(one)))) != complement(one)
| converse(join(converse(complement(one)),complement(one))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(join(complement(one),converse(complement(one))))) )],[refute_0_1354,refute_0_1436]) ).
cnf(refute_0_1438,plain,
converse(join(converse(complement(one)),complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(complement(one)))),complement(one)) )],[refute_0_1435,refute_0_1437]) ).
cnf(refute_0_1439,plain,
( converse(join(converse(complement(one)),complement(one))) != complement(one)
| converse(join(converse(complement(one)),complement(one))) != converse(complement(one))
| complement(one) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(complement(one))) ),[0],$fot(complement(one))]]) ).
cnf(refute_0_1440,plain,
( converse(join(converse(complement(one)),complement(one))) != converse(complement(one))
| complement(one) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),complement(one)) )],[refute_0_1438,refute_0_1439]) ).
cnf(refute_0_1441,plain,
complement(one) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(complement(one))) )],[refute_0_1427,refute_0_1440]) ).
cnf(refute_0_1442,plain,
( complement(one) != converse(complement(one))
| converse(complement(one)) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1443,plain,
converse(complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),converse(complement(one))) )],[refute_0_1441,refute_0_1442]) ).
cnf(refute_0_1444,plain,
( converse(complement(one)) != complement(one)
| join(complement(converse(complement(one))),composition(X_106,complement(converse(composition(complement(one),X_106))))) != complement(converse(complement(one)))
| join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))) = complement(converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),composition(X_106,complement(converse(composition(complement(one),X_106))))),complement(converse(complement(one)))) ),[0,0,0],$fot(complement(one))]]) ).
cnf(refute_0_1445,plain,
( join(complement(converse(complement(one))),composition(X_106,complement(converse(composition(complement(one),X_106))))) != complement(converse(complement(one)))
| join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))) = complement(converse(complement(one))) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))) = complement(converse(complement(one))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),composition(X_106,complement(converse(composition(complement(one),X_106))))),complement(converse(complement(one)))) )],[refute_0_1353,refute_0_1445]) ).
cnf(refute_0_1447,plain,
join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))) = join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))),
introduced(tautology,[refl,[$fot(join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))))]]) ).
cnf(refute_0_1448,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))) != join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106)))))
| join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))) = join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))),join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1449,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))) = join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))),join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106)))))) )],[refute_0_1447,refute_0_1448]) ).
cnf(refute_0_1450,plain,
join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))) = join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1413,refute_0_1449]) ).
cnf(refute_0_1451,plain,
( join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))) != complement(converse(complement(one)))
| join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))) != join(one,composition(X_106,complement(converse(composition(complement(one),X_106)))))
| join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))) = complement(converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))),complement(converse(complement(one)))) ),[0],$fot(join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))))]]) ).
cnf(refute_0_1452,plain,
( join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))) != complement(converse(complement(one)))
| join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))) = complement(converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))),join(one,composition(X_106,complement(converse(composition(complement(one),X_106)))))) )],[refute_0_1450,refute_0_1451]) ).
cnf(refute_0_1453,plain,
complement(converse(complement(one))) = complement(converse(complement(one))),
introduced(tautology,[refl,[$fot(complement(converse(complement(one))))]]) ).
cnf(refute_0_1454,plain,
( complement(converse(complement(one))) != complement(converse(complement(one)))
| converse(complement(one)) != complement(one)
| complement(converse(complement(one))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(one))),complement(converse(complement(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1455,plain,
( converse(complement(one)) != complement(one)
| complement(converse(complement(one))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),complement(converse(complement(one)))) )],[refute_0_1453,refute_0_1454]) ).
cnf(refute_0_1456,plain,
complement(converse(complement(one))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1443,refute_0_1455]) ).
cnf(refute_0_1457,plain,
( complement(complement(one)) != one
| complement(converse(complement(one))) != complement(complement(one))
| complement(converse(complement(one))) = one ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(converse(complement(one))))),bind(Y,$fot(complement(complement(one)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1458,plain,
( complement(complement(one)) != one
| complement(converse(complement(one))) = one ),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),complement(complement(one))) )],[refute_0_1456,refute_0_1457]) ).
cnf(refute_0_1459,plain,
complement(converse(complement(one))) = one,
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1413,refute_0_1458]) ).
cnf(refute_0_1460,plain,
( complement(converse(complement(one))) != one
| join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))) != complement(converse(complement(one)))
| join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))),complement(converse(complement(one)))) ),[1],$fot(one)]]) ).
cnf(refute_0_1461,plain,
( join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))) != complement(converse(complement(one)))
| join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))) = one ),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),one) )],[refute_0_1459,refute_0_1460]) ).
cnf(refute_0_1462,plain,
( join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))) != complement(converse(complement(one)))
| join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))) = one ),
inference(resolve,[$cnf( $equal(join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))),complement(converse(complement(one)))) )],[refute_0_1452,refute_0_1461]) ).
cnf(refute_0_1463,plain,
join(one,composition(X_106,complement(converse(composition(complement(one),X_106))))) = one,
inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(X_106,complement(converse(composition(complement(one),X_106))))),complement(converse(complement(one)))) )],[refute_0_1446,refute_0_1462]) ).
cnf(refute_0_1464,plain,
join(one,composition(one,complement(converse(composition(complement(one),one))))) = one,
inference(subst,[],[refute_0_1463:[bind(X_106,$fot(one))]]) ).
cnf(refute_0_1465,plain,
composition(complement(one),one) = complement(one),
inference(subst,[],[composition_identity_6:[bind(A,$fot(complement(one)))]]) ).
cnf(refute_0_1466,plain,
( composition(complement(one),one) != complement(one)
| join(one,composition(one,complement(converse(composition(complement(one),one))))) != one
| join(one,composition(one,complement(converse(complement(one))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(one,complement(converse(composition(complement(one),one))))),one) ),[0,1,1,0,0],$fot(complement(one))]]) ).
cnf(refute_0_1467,plain,
( join(one,composition(one,complement(converse(composition(complement(one),one))))) != one
| join(one,composition(one,complement(converse(complement(one))))) = one ),
inference(resolve,[$cnf( $equal(composition(complement(one),one),complement(one)) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
join(one,composition(one,complement(converse(complement(one))))) = one,
inference(resolve,[$cnf( $equal(join(one,composition(one,complement(converse(composition(complement(one),one))))),one) )],[refute_0_1464,refute_0_1467]) ).
cnf(refute_0_1469,plain,
composition(one,complement(converse(complement(one)))) = complement(converse(complement(one))),
inference(subst,[],[refute_0_458:[bind(X_36,$fot(complement(converse(complement(one)))))]]) ).
cnf(refute_0_1470,plain,
( complement(converse(complement(one))) != one
| composition(one,complement(converse(complement(one)))) != complement(converse(complement(one)))
| composition(one,complement(converse(complement(one)))) = one ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(one,complement(converse(complement(one)))))),bind(Y,$fot(complement(converse(complement(one))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1471,plain,
( complement(converse(complement(one))) != one
| composition(one,complement(converse(complement(one)))) = one ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(complement(one)))),complement(converse(complement(one)))) )],[refute_0_1469,refute_0_1470]) ).
cnf(refute_0_1472,plain,
composition(one,complement(converse(complement(one)))) = one,
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),one) )],[refute_0_1459,refute_0_1471]) ).
cnf(refute_0_1473,plain,
join(one,composition(one,complement(converse(complement(one))))) = join(one,composition(one,complement(converse(complement(one))))),
introduced(tautology,[refl,[$fot(join(one,composition(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_1474,plain,
( composition(one,complement(converse(complement(one)))) != one
| join(one,composition(one,complement(converse(complement(one))))) != join(one,composition(one,complement(converse(complement(one)))))
| join(one,composition(one,complement(converse(complement(one))))) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(one,complement(converse(complement(one))))),join(one,composition(one,complement(converse(complement(one)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1475,plain,
( composition(one,complement(converse(complement(one)))) != one
| join(one,composition(one,complement(converse(complement(one))))) = join(one,one) ),
inference(resolve,[$cnf( $equal(join(one,composition(one,complement(converse(complement(one))))),join(one,composition(one,complement(converse(complement(one)))))) )],[refute_0_1473,refute_0_1474]) ).
cnf(refute_0_1476,plain,
join(one,composition(one,complement(converse(complement(one))))) = join(one,one),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(complement(one)))),one) )],[refute_0_1472,refute_0_1475]) ).
cnf(refute_0_1477,plain,
( join(one,composition(one,complement(converse(complement(one))))) != join(one,one)
| join(one,composition(one,complement(converse(complement(one))))) != one
| join(one,one) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(one,complement(converse(complement(one))))),one) ),[0],$fot(join(one,one))]]) ).
cnf(refute_0_1478,plain,
( join(one,composition(one,complement(converse(complement(one))))) != one
| join(one,one) = one ),
inference(resolve,[$cnf( $equal(join(one,composition(one,complement(converse(complement(one))))),join(one,one)) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
join(one,one) = one,
inference(resolve,[$cnf( $equal(join(one,composition(one,complement(converse(complement(one))))),one) )],[refute_0_1468,refute_0_1478]) ).
cnf(refute_0_1480,plain,
( join(one,join(one,X_121)) != join(join(one,one),X_121)
| join(one,one) != one
| join(one,join(one,X_121)) = join(one,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,X_121)),join(join(one,one),X_121)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1481,plain,
( join(one,join(one,X_121)) != join(join(one,one),X_121)
| join(one,join(one,X_121)) = join(one,X_121) ),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1479,refute_0_1480]) ).
cnf(refute_0_1482,plain,
join(one,join(one,X_121)) = join(one,X_121),
inference(resolve,[$cnf( $equal(join(one,join(one,X_121)),join(join(one,one),X_121)) )],[refute_0_1333,refute_0_1481]) ).
cnf(refute_0_1483,plain,
join(one,join(one,X_122)) = join(one,X_122),
inference(subst,[],[refute_0_1482:[bind(X_121,$fot(X_122))]]) ).
cnf(refute_0_1484,plain,
( join(A,join(one,join(one,X_122))) != join(join(A,one),join(one,X_122))
| join(one,join(one,X_122)) != join(one,X_122)
| join(A,join(one,X_122)) = join(join(A,one),join(one,X_122)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(one,join(one,X_122))),join(join(A,one),join(one,X_122))) ),[0,1],$fot(join(one,X_122))]]) ).
cnf(refute_0_1485,plain,
( join(A,join(one,join(one,X_122))) != join(join(A,one),join(one,X_122))
| join(A,join(one,X_122)) = join(join(A,one),join(one,X_122)) ),
inference(resolve,[$cnf( $equal(join(one,join(one,X_122)),join(one,X_122)) )],[refute_0_1483,refute_0_1484]) ).
cnf(refute_0_1486,plain,
join(A,join(one,X_122)) = join(join(A,one),join(one,X_122)),
inference(resolve,[$cnf( $equal(join(A,join(one,join(one,X_122))),join(join(A,one),join(one,X_122))) )],[refute_0_1332,refute_0_1485]) ).
cnf(refute_0_1487,plain,
join(join(A,one),X_122) = join(A,join(one,X_122)),
inference(subst,[],[refute_0_147:[bind(B,$fot(one)),bind(C,$fot(X_122))]]) ).
cnf(refute_0_1488,plain,
join(one,join(join(A,one),X_122)) = join(one,join(join(A,one),X_122)),
introduced(tautology,[refl,[$fot(join(one,join(join(A,one),X_122)))]]) ).
cnf(refute_0_1489,plain,
( join(join(A,one),X_122) != join(A,join(one,X_122))
| join(one,join(join(A,one),X_122)) != join(one,join(join(A,one),X_122))
| join(one,join(join(A,one),X_122)) = join(one,join(A,join(one,X_122))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(A,one),X_122)),join(one,join(join(A,one),X_122))) ),[1,1],$fot(join(A,join(one,X_122)))]]) ).
cnf(refute_0_1490,plain,
( join(join(A,one),X_122) != join(A,join(one,X_122))
| join(one,join(join(A,one),X_122)) = join(one,join(A,join(one,X_122))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(A,one),X_122)),join(one,join(join(A,one),X_122))) )],[refute_0_1488,refute_0_1489]) ).
cnf(refute_0_1491,plain,
join(one,join(join(A,one),X_122)) = join(one,join(A,join(one,X_122))),
inference(resolve,[$cnf( $equal(join(join(A,one),X_122),join(A,join(one,X_122))) )],[refute_0_1487,refute_0_1490]) ).
cnf(refute_0_1492,plain,
( join(X_119,join(X_120,X_121)) != join(X_120,join(X_119,X_121))
| join(X_120,join(X_119,X_121)) = join(X_119,join(X_120,X_121)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_119,join(X_120,X_121)))),bind(Y,$fot(join(X_120,join(X_119,X_121))))]]) ).
cnf(refute_0_1493,plain,
join(X_120,join(X_119,X_121)) = join(X_119,join(X_120,X_121)),
inference(resolve,[$cnf( $equal(join(X_119,join(X_120,X_121)),join(X_120,join(X_119,X_121))) )],[refute_0_151,refute_0_1492]) ).
cnf(refute_0_1494,plain,
join(join(A,one),join(one,X_122)) = join(one,join(join(A,one),X_122)),
inference(subst,[],[refute_0_1493:[bind(X_119,$fot(one)),bind(X_120,$fot(join(A,one))),bind(X_121,$fot(X_122))]]) ).
cnf(refute_0_1495,plain,
( join(join(A,one),join(one,X_122)) != join(one,join(join(A,one),X_122))
| join(one,join(join(A,one),X_122)) != join(one,join(A,join(one,X_122)))
| join(join(A,one),join(one,X_122)) = join(one,join(A,join(one,X_122))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(A,one),join(one,X_122)))),bind(Y,$fot(join(one,join(join(A,one),X_122)))),bind(Z,$fot(join(one,join(A,join(one,X_122)))))]]) ).
cnf(refute_0_1496,plain,
( join(one,join(join(A,one),X_122)) != join(one,join(A,join(one,X_122)))
| join(join(A,one),join(one,X_122)) = join(one,join(A,join(one,X_122))) ),
inference(resolve,[$cnf( $equal(join(join(A,one),join(one,X_122)),join(one,join(join(A,one),X_122))) )],[refute_0_1494,refute_0_1495]) ).
cnf(refute_0_1497,plain,
join(join(A,one),join(one,X_122)) = join(one,join(A,join(one,X_122))),
inference(resolve,[$cnf( $equal(join(one,join(join(A,one),X_122)),join(one,join(A,join(one,X_122)))) )],[refute_0_1491,refute_0_1496]) ).
cnf(refute_0_1498,plain,
( join(A,join(one,X_122)) != join(join(A,one),join(one,X_122))
| join(join(A,one),join(one,X_122)) != join(one,join(A,join(one,X_122)))
| join(A,join(one,X_122)) = join(one,join(A,join(one,X_122))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(one,X_122)),join(one,join(A,join(one,X_122)))) ),[0],$fot(join(join(A,one),join(one,X_122)))]]) ).
cnf(refute_0_1499,plain,
( join(A,join(one,X_122)) != join(join(A,one),join(one,X_122))
| join(A,join(one,X_122)) = join(one,join(A,join(one,X_122))) ),
inference(resolve,[$cnf( $equal(join(join(A,one),join(one,X_122)),join(one,join(A,join(one,X_122)))) )],[refute_0_1497,refute_0_1498]) ).
cnf(refute_0_1500,plain,
join(A,join(one,X_122)) = join(one,join(A,join(one,X_122))),
inference(resolve,[$cnf( $equal(join(A,join(one,X_122)),join(join(A,one),join(one,X_122))) )],[refute_0_1486,refute_0_1499]) ).
cnf(refute_0_1501,plain,
( join(A,join(one,X_122)) != join(one,join(A,join(one,X_122)))
| join(one,join(A,join(one,X_122))) = join(A,join(one,X_122)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(A,join(one,X_122)))),bind(Y,$fot(join(one,join(A,join(one,X_122)))))]]) ).
cnf(refute_0_1502,plain,
join(one,join(A,join(one,X_122))) = join(A,join(one,X_122)),
inference(resolve,[$cnf( $equal(join(A,join(one,X_122)),join(one,join(A,join(one,X_122)))) )],[refute_0_1500,refute_0_1501]) ).
cnf(refute_0_1503,plain,
join(one,join(X_249,join(one,X_206))) = join(X_249,join(one,X_206)),
inference(subst,[],[refute_0_1502:[bind(A,$fot(X_249)),bind(X_122,$fot(X_206))]]) ).
cnf(refute_0_1504,plain,
join(converse(one),X_206) = join(converse(one),X_206),
introduced(tautology,[refl,[$fot(join(converse(one),X_206))]]) ).
cnf(refute_0_1505,plain,
( converse(one) != one
| join(converse(one),X_206) != join(converse(one),X_206)
| join(converse(one),X_206) = join(one,X_206) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_206),join(converse(one),X_206)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1506,plain,
( converse(one) != one
| join(converse(one),X_206) = join(one,X_206) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_206),join(converse(one),X_206)) )],[refute_0_1504,refute_0_1505]) ).
cnf(refute_0_1507,plain,
join(converse(one),X_206) = join(one,X_206),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_38,refute_0_1506]) ).
cnf(refute_0_1508,plain,
converse(join(one,converse(X_206))) = join(converse(one),X_206),
inference(subst,[],[refute_0_128:[bind(A,$fot(X_206)),bind(X_4,$fot(one))]]) ).
cnf(refute_0_1509,plain,
( converse(join(one,converse(X_206))) != join(converse(one),X_206)
| join(converse(one),X_206) != join(one,X_206)
| converse(join(one,converse(X_206))) = join(one,X_206) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(one,converse(X_206))))),bind(Y,$fot(join(converse(one),X_206))),bind(Z,$fot(join(one,X_206)))]]) ).
cnf(refute_0_1510,plain,
( join(converse(one),X_206) != join(one,X_206)
| converse(join(one,converse(X_206))) = join(one,X_206) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X_206))),join(converse(one),X_206)) )],[refute_0_1508,refute_0_1509]) ).
cnf(refute_0_1511,plain,
converse(join(one,converse(X_206))) = join(one,X_206),
inference(resolve,[$cnf( $equal(join(converse(one),X_206),join(one,X_206)) )],[refute_0_1507,refute_0_1510]) ).
cnf(refute_0_1512,plain,
join(X_249,converse(join(one,converse(X_206)))) = join(X_249,converse(join(one,converse(X_206)))),
introduced(tautology,[refl,[$fot(join(X_249,converse(join(one,converse(X_206)))))]]) ).
cnf(refute_0_1513,plain,
( converse(join(one,converse(X_206))) != join(one,X_206)
| join(X_249,converse(join(one,converse(X_206)))) != join(X_249,converse(join(one,converse(X_206))))
| join(X_249,converse(join(one,converse(X_206)))) = join(X_249,join(one,X_206)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_249,converse(join(one,converse(X_206)))),join(X_249,converse(join(one,converse(X_206))))) ),[1,1],$fot(join(one,X_206))]]) ).
cnf(refute_0_1514,plain,
( converse(join(one,converse(X_206))) != join(one,X_206)
| join(X_249,converse(join(one,converse(X_206)))) = join(X_249,join(one,X_206)) ),
inference(resolve,[$cnf( $equal(join(X_249,converse(join(one,converse(X_206)))),join(X_249,converse(join(one,converse(X_206))))) )],[refute_0_1512,refute_0_1513]) ).
cnf(refute_0_1515,plain,
join(X_249,converse(join(one,converse(X_206)))) = join(X_249,join(one,X_206)),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X_206))),join(one,X_206)) )],[refute_0_1511,refute_0_1514]) ).
cnf(refute_0_1516,plain,
join(one,join(X_249,converse(join(one,converse(X_206))))) = join(one,join(X_249,converse(join(one,converse(X_206))))),
introduced(tautology,[refl,[$fot(join(one,join(X_249,converse(join(one,converse(X_206))))))]]) ).
cnf(refute_0_1517,plain,
( join(X_249,converse(join(one,converse(X_206)))) != join(X_249,join(one,X_206))
| join(one,join(X_249,converse(join(one,converse(X_206))))) != join(one,join(X_249,converse(join(one,converse(X_206)))))
| join(one,join(X_249,converse(join(one,converse(X_206))))) = join(one,join(X_249,join(one,X_206))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_249,converse(join(one,converse(X_206))))),join(one,join(X_249,converse(join(one,converse(X_206)))))) ),[1,1],$fot(join(X_249,join(one,X_206)))]]) ).
cnf(refute_0_1518,plain,
( join(X_249,converse(join(one,converse(X_206)))) != join(X_249,join(one,X_206))
| join(one,join(X_249,converse(join(one,converse(X_206))))) = join(one,join(X_249,join(one,X_206))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_249,converse(join(one,converse(X_206))))),join(one,join(X_249,converse(join(one,converse(X_206)))))) )],[refute_0_1516,refute_0_1517]) ).
cnf(refute_0_1519,plain,
join(one,join(X_249,converse(join(one,converse(X_206))))) = join(one,join(X_249,join(one,X_206))),
inference(resolve,[$cnf( $equal(join(X_249,converse(join(one,converse(X_206)))),join(X_249,join(one,X_206))) )],[refute_0_1515,refute_0_1518]) ).
cnf(refute_0_1520,plain,
( join(one,join(X_249,converse(join(one,converse(X_206))))) != join(one,join(X_249,join(one,X_206)))
| join(one,join(X_249,join(one,X_206))) != join(X_249,join(one,X_206))
| join(one,join(X_249,converse(join(one,converse(X_206))))) = join(X_249,join(one,X_206)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(one,join(X_249,converse(join(one,converse(X_206))))))),bind(Y,$fot(join(one,join(X_249,join(one,X_206))))),bind(Z,$fot(join(X_249,join(one,X_206))))]]) ).
cnf(refute_0_1521,plain,
( join(one,join(X_249,join(one,X_206))) != join(X_249,join(one,X_206))
| join(one,join(X_249,converse(join(one,converse(X_206))))) = join(X_249,join(one,X_206)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_249,converse(join(one,converse(X_206))))),join(one,join(X_249,join(one,X_206)))) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
join(one,join(X_249,converse(join(one,converse(X_206))))) = join(X_249,join(one,X_206)),
inference(resolve,[$cnf( $equal(join(one,join(X_249,join(one,X_206))),join(X_249,join(one,X_206))) )],[refute_0_1503,refute_0_1521]) ).
cnf(refute_0_1523,plain,
join(converse(join(A,join(X_248,one))),X_6) = join(converse(A),join(converse(join(X_248,one)),X_6)),
inference(subst,[],[refute_0_1283:[bind(X_7,$fot(join(X_248,one)))]]) ).
cnf(refute_0_1524,plain,
join(converse(join(X_248,one)),X_6) = join(one,join(converse(X_248),X_6)),
inference(subst,[],[refute_0_1326:[bind(X_206,$fot(X_248)),bind(X_207,$fot(X_6))]]) ).
cnf(refute_0_1525,plain,
( join(converse(join(A,join(X_248,one))),X_6) != join(converse(A),join(converse(join(X_248,one)),X_6))
| join(converse(join(X_248,one)),X_6) != join(one,join(converse(X_248),X_6))
| join(converse(join(A,join(X_248,one))),X_6) = join(converse(A),join(one,join(converse(X_248),X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(A,join(X_248,one))),X_6),join(converse(A),join(converse(join(X_248,one)),X_6))) ),[1,1],$fot(join(one,join(converse(X_248),X_6)))]]) ).
cnf(refute_0_1526,plain,
( join(converse(join(A,join(X_248,one))),X_6) != join(converse(A),join(converse(join(X_248,one)),X_6))
| join(converse(join(A,join(X_248,one))),X_6) = join(converse(A),join(one,join(converse(X_248),X_6))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_248,one)),X_6),join(one,join(converse(X_248),X_6))) )],[refute_0_1524,refute_0_1525]) ).
cnf(refute_0_1527,plain,
join(converse(join(A,join(X_248,one))),X_6) = join(converse(A),join(one,join(converse(X_248),X_6))),
inference(resolve,[$cnf( $equal(join(converse(join(A,join(X_248,one))),X_6),join(converse(A),join(converse(join(X_248,one)),X_6))) )],[refute_0_1523,refute_0_1526]) ).
cnf(refute_0_1528,plain,
converse(join(X_4,converse(join(X_7,converse(X_6))))) = join(converse(X_4),join(X_7,converse(X_6))),
inference(subst,[],[refute_0_128:[bind(A,$fot(join(X_7,converse(X_6))))]]) ).
cnf(refute_0_1529,plain,
( converse(join(X_4,converse(join(X_7,converse(X_6))))) != join(converse(X_4),join(X_7,converse(X_6)))
| converse(join(X_7,converse(X_6))) != join(converse(X_7),X_6)
| converse(join(X_4,join(converse(X_7),X_6))) = join(converse(X_4),join(X_7,converse(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(join(X_7,converse(X_6))))),join(converse(X_4),join(X_7,converse(X_6)))) ),[0,0,1],$fot(join(converse(X_7),X_6))]]) ).
cnf(refute_0_1530,plain,
( converse(join(X_4,converse(join(X_7,converse(X_6))))) != join(converse(X_4),join(X_7,converse(X_6)))
| converse(join(X_4,join(converse(X_7),X_6))) = join(converse(X_4),join(X_7,converse(X_6))) ),
inference(resolve,[$cnf( $equal(converse(join(X_7,converse(X_6))),join(converse(X_7),X_6)) )],[refute_0_1269,refute_0_1529]) ).
cnf(refute_0_1531,plain,
converse(join(X_4,join(converse(X_7),X_6))) = join(converse(X_4),join(X_7,converse(X_6))),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_7,converse(X_6))))),join(converse(X_4),join(X_7,converse(X_6)))) )],[refute_0_1528,refute_0_1530]) ).
cnf(refute_0_1532,plain,
join(join(X_143,converse(X_142)),converse(X_141)) = join(converse(X_141),join(X_143,converse(X_142))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(X_143,converse(X_142)))),bind(B,$fot(converse(X_141)))]]) ).
cnf(refute_0_1533,plain,
converse(join(X_141,join(converse(X_143),X_142))) = join(converse(X_141),join(X_143,converse(X_142))),
inference(subst,[],[refute_0_1531:[bind(X_4,$fot(X_141)),bind(X_6,$fot(X_142)),bind(X_7,$fot(X_143))]]) ).
cnf(refute_0_1534,plain,
( converse(join(X_141,join(converse(X_143),X_142))) != join(converse(X_141),join(X_143,converse(X_142)))
| join(converse(X_141),join(X_143,converse(X_142))) = converse(join(X_141,join(converse(X_143),X_142))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_141,join(converse(X_143),X_142))))),bind(Y,$fot(join(converse(X_141),join(X_143,converse(X_142)))))]]) ).
cnf(refute_0_1535,plain,
join(converse(X_141),join(X_143,converse(X_142))) = converse(join(X_141,join(converse(X_143),X_142))),
inference(resolve,[$cnf( $equal(converse(join(X_141,join(converse(X_143),X_142))),join(converse(X_141),join(X_143,converse(X_142)))) )],[refute_0_1533,refute_0_1534]) ).
cnf(refute_0_1536,plain,
( join(converse(X_141),join(X_143,converse(X_142))) != converse(join(X_141,join(converse(X_143),X_142)))
| join(join(X_143,converse(X_142)),converse(X_141)) != join(converse(X_141),join(X_143,converse(X_142)))
| join(join(X_143,converse(X_142)),converse(X_141)) = converse(join(X_141,join(converse(X_143),X_142))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_143,converse(X_142)),converse(X_141)),join(converse(X_141),join(X_143,converse(X_142)))) ),[1],$fot(converse(join(X_141,join(converse(X_143),X_142))))]]) ).
cnf(refute_0_1537,plain,
( join(join(X_143,converse(X_142)),converse(X_141)) != join(converse(X_141),join(X_143,converse(X_142)))
| join(join(X_143,converse(X_142)),converse(X_141)) = converse(join(X_141,join(converse(X_143),X_142))) ),
inference(resolve,[$cnf( $equal(join(converse(X_141),join(X_143,converse(X_142))),converse(join(X_141,join(converse(X_143),X_142)))) )],[refute_0_1535,refute_0_1536]) ).
cnf(refute_0_1538,plain,
join(join(X_143,converse(X_142)),converse(X_141)) = converse(join(X_141,join(converse(X_143),X_142))),
inference(resolve,[$cnf( $equal(join(join(X_143,converse(X_142)),converse(X_141)),join(converse(X_141),join(X_143,converse(X_142)))) )],[refute_0_1532,refute_0_1537]) ).
cnf(refute_0_1539,plain,
join(converse(X_142),converse(X_141)) = converse(join(X_142,X_141)),
inference(subst,[],[refute_0_682:[bind(A,$fot(X_142)),bind(B,$fot(X_141))]]) ).
cnf(refute_0_1540,plain,
join(X_143,join(converse(X_142),converse(X_141))) = join(X_143,join(converse(X_142),converse(X_141))),
introduced(tautology,[refl,[$fot(join(X_143,join(converse(X_142),converse(X_141))))]]) ).
cnf(refute_0_1541,plain,
( join(X_143,join(converse(X_142),converse(X_141))) != join(X_143,join(converse(X_142),converse(X_141)))
| join(converse(X_142),converse(X_141)) != converse(join(X_142,X_141))
| join(X_143,join(converse(X_142),converse(X_141))) = join(X_143,converse(join(X_142,X_141))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_143,join(converse(X_142),converse(X_141))),join(X_143,join(converse(X_142),converse(X_141)))) ),[1,1],$fot(converse(join(X_142,X_141)))]]) ).
cnf(refute_0_1542,plain,
( join(converse(X_142),converse(X_141)) != converse(join(X_142,X_141))
| join(X_143,join(converse(X_142),converse(X_141))) = join(X_143,converse(join(X_142,X_141))) ),
inference(resolve,[$cnf( $equal(join(X_143,join(converse(X_142),converse(X_141))),join(X_143,join(converse(X_142),converse(X_141)))) )],[refute_0_1540,refute_0_1541]) ).
cnf(refute_0_1543,plain,
join(X_143,join(converse(X_142),converse(X_141))) = join(X_143,converse(join(X_142,X_141))),
inference(resolve,[$cnf( $equal(join(converse(X_142),converse(X_141)),converse(join(X_142,X_141))) )],[refute_0_1539,refute_0_1542]) ).
cnf(refute_0_1544,plain,
join(join(X_143,converse(X_142)),converse(X_141)) = join(X_143,join(converse(X_142),converse(X_141))),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_143)),bind(B,$fot(converse(X_142))),bind(C,$fot(converse(X_141)))]]) ).
cnf(refute_0_1545,plain,
( join(X_143,join(converse(X_142),converse(X_141))) != join(X_143,converse(join(X_142,X_141)))
| join(join(X_143,converse(X_142)),converse(X_141)) != join(X_143,join(converse(X_142),converse(X_141)))
| join(join(X_143,converse(X_142)),converse(X_141)) = join(X_143,converse(join(X_142,X_141))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(X_143,converse(X_142)),converse(X_141)))),bind(Y,$fot(join(X_143,join(converse(X_142),converse(X_141))))),bind(Z,$fot(join(X_143,converse(join(X_142,X_141)))))]]) ).
cnf(refute_0_1546,plain,
( join(X_143,join(converse(X_142),converse(X_141))) != join(X_143,converse(join(X_142,X_141)))
| join(join(X_143,converse(X_142)),converse(X_141)) = join(X_143,converse(join(X_142,X_141))) ),
inference(resolve,[$cnf( $equal(join(join(X_143,converse(X_142)),converse(X_141)),join(X_143,join(converse(X_142),converse(X_141)))) )],[refute_0_1544,refute_0_1545]) ).
cnf(refute_0_1547,plain,
join(join(X_143,converse(X_142)),converse(X_141)) = join(X_143,converse(join(X_142,X_141))),
inference(resolve,[$cnf( $equal(join(X_143,join(converse(X_142),converse(X_141))),join(X_143,converse(join(X_142,X_141)))) )],[refute_0_1543,refute_0_1546]) ).
cnf(refute_0_1548,plain,
( join(join(X_143,converse(X_142)),converse(X_141)) != converse(join(X_141,join(converse(X_143),X_142)))
| join(join(X_143,converse(X_142)),converse(X_141)) != join(X_143,converse(join(X_142,X_141)))
| join(X_143,converse(join(X_142,X_141))) = converse(join(X_141,join(converse(X_143),X_142))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_143,converse(X_142)),converse(X_141)),converse(join(X_141,join(converse(X_143),X_142)))) ),[0],$fot(join(X_143,converse(join(X_142,X_141))))]]) ).
cnf(refute_0_1549,plain,
( join(join(X_143,converse(X_142)),converse(X_141)) != converse(join(X_141,join(converse(X_143),X_142)))
| join(X_143,converse(join(X_142,X_141))) = converse(join(X_141,join(converse(X_143),X_142))) ),
inference(resolve,[$cnf( $equal(join(join(X_143,converse(X_142)),converse(X_141)),join(X_143,converse(join(X_142,X_141)))) )],[refute_0_1547,refute_0_1548]) ).
cnf(refute_0_1550,plain,
join(X_143,converse(join(X_142,X_141))) = converse(join(X_141,join(converse(X_143),X_142))),
inference(resolve,[$cnf( $equal(join(join(X_143,converse(X_142)),converse(X_141)),converse(join(X_141,join(converse(X_143),X_142)))) )],[refute_0_1538,refute_0_1549]) ).
cnf(refute_0_1551,plain,
( join(X_143,converse(join(X_142,X_141))) != converse(join(X_141,join(converse(X_143),X_142)))
| converse(join(X_141,join(converse(X_143),X_142))) = join(X_143,converse(join(X_142,X_141))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_143,converse(join(X_142,X_141))))),bind(Y,$fot(converse(join(X_141,join(converse(X_143),X_142)))))]]) ).
cnf(refute_0_1552,plain,
converse(join(X_141,join(converse(X_143),X_142))) = join(X_143,converse(join(X_142,X_141))),
inference(resolve,[$cnf( $equal(join(X_143,converse(join(X_142,X_141))),converse(join(X_141,join(converse(X_143),X_142)))) )],[refute_0_1550,refute_0_1551]) ).
cnf(refute_0_1553,plain,
converse(join(X_4,join(converse(X_7),X_6))) = join(X_7,converse(join(X_6,X_4))),
inference(subst,[],[refute_0_1552:[bind(X_141,$fot(X_4)),bind(X_142,$fot(X_6)),bind(X_143,$fot(X_7))]]) ).
cnf(refute_0_1554,plain,
( converse(join(X_4,join(converse(X_7),X_6))) != join(X_7,converse(join(X_6,X_4)))
| converse(join(X_4,join(converse(X_7),X_6))) != join(converse(X_4),join(X_7,converse(X_6)))
| join(X_7,converse(join(X_6,X_4))) = join(converse(X_4),join(X_7,converse(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,join(converse(X_7),X_6))),join(converse(X_4),join(X_7,converse(X_6)))) ),[0],$fot(join(X_7,converse(join(X_6,X_4))))]]) ).
cnf(refute_0_1555,plain,
( converse(join(X_4,join(converse(X_7),X_6))) != join(converse(X_4),join(X_7,converse(X_6)))
| join(X_7,converse(join(X_6,X_4))) = join(converse(X_4),join(X_7,converse(X_6))) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,join(converse(X_7),X_6))),join(X_7,converse(join(X_6,X_4)))) )],[refute_0_1553,refute_0_1554]) ).
cnf(refute_0_1556,plain,
join(X_7,converse(join(X_6,X_4))) = join(converse(X_4),join(X_7,converse(X_6))),
inference(resolve,[$cnf( $equal(converse(join(X_4,join(converse(X_7),X_6))),join(converse(X_4),join(X_7,converse(X_6)))) )],[refute_0_1531,refute_0_1555]) ).
cnf(refute_0_1557,plain,
( join(X_7,converse(join(X_6,X_4))) != join(converse(X_4),join(X_7,converse(X_6)))
| join(converse(X_4),join(X_7,converse(X_6))) = join(X_7,converse(join(X_6,X_4))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_7,converse(join(X_6,X_4))))),bind(Y,$fot(join(converse(X_4),join(X_7,converse(X_6)))))]]) ).
cnf(refute_0_1558,plain,
join(converse(X_4),join(X_7,converse(X_6))) = join(X_7,converse(join(X_6,X_4))),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(X_6,X_4))),join(converse(X_4),join(X_7,converse(X_6)))) )],[refute_0_1556,refute_0_1557]) ).
cnf(refute_0_1559,plain,
join(converse(X_248),join(X_6,converse(A))) = join(X_6,converse(join(A,X_248))),
inference(subst,[],[refute_0_1558:[bind(X_4,$fot(X_248)),bind(X_6,$fot(A)),bind(X_7,$fot(X_6))]]) ).
cnf(refute_0_1560,plain,
join(join(converse(X_248),X_6),converse(A)) = join(converse(X_248),join(X_6,converse(A))),
inference(subst,[],[refute_0_147:[bind(A,$fot(converse(X_248))),bind(B,$fot(X_6)),bind(C,$fot(converse(A)))]]) ).
cnf(refute_0_1561,plain,
( join(converse(X_248),join(X_6,converse(A))) != join(X_6,converse(join(A,X_248)))
| join(join(converse(X_248),X_6),converse(A)) != join(converse(X_248),join(X_6,converse(A)))
| join(join(converse(X_248),X_6),converse(A)) = join(X_6,converse(join(A,X_248))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(converse(X_248),X_6),converse(A)))),bind(Y,$fot(join(converse(X_248),join(X_6,converse(A))))),bind(Z,$fot(join(X_6,converse(join(A,X_248)))))]]) ).
cnf(refute_0_1562,plain,
( join(converse(X_248),join(X_6,converse(A))) != join(X_6,converse(join(A,X_248)))
| join(join(converse(X_248),X_6),converse(A)) = join(X_6,converse(join(A,X_248))) ),
inference(resolve,[$cnf( $equal(join(join(converse(X_248),X_6),converse(A)),join(converse(X_248),join(X_6,converse(A)))) )],[refute_0_1560,refute_0_1561]) ).
cnf(refute_0_1563,plain,
join(join(converse(X_248),X_6),converse(A)) = join(X_6,converse(join(A,X_248))),
inference(resolve,[$cnf( $equal(join(converse(X_248),join(X_6,converse(A))),join(X_6,converse(join(A,X_248)))) )],[refute_0_1559,refute_0_1562]) ).
cnf(refute_0_1564,plain,
join(one,join(join(converse(X_248),X_6),converse(A))) = join(one,join(join(converse(X_248),X_6),converse(A))),
introduced(tautology,[refl,[$fot(join(one,join(join(converse(X_248),X_6),converse(A))))]]) ).
cnf(refute_0_1565,plain,
( join(join(converse(X_248),X_6),converse(A)) != join(X_6,converse(join(A,X_248)))
| join(one,join(join(converse(X_248),X_6),converse(A))) != join(one,join(join(converse(X_248),X_6),converse(A)))
| join(one,join(join(converse(X_248),X_6),converse(A))) = join(one,join(X_6,converse(join(A,X_248)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(converse(X_248),X_6),converse(A))),join(one,join(join(converse(X_248),X_6),converse(A)))) ),[1,1],$fot(join(X_6,converse(join(A,X_248))))]]) ).
cnf(refute_0_1566,plain,
( join(join(converse(X_248),X_6),converse(A)) != join(X_6,converse(join(A,X_248)))
| join(one,join(join(converse(X_248),X_6),converse(A))) = join(one,join(X_6,converse(join(A,X_248)))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(converse(X_248),X_6),converse(A))),join(one,join(join(converse(X_248),X_6),converse(A)))) )],[refute_0_1564,refute_0_1565]) ).
cnf(refute_0_1567,plain,
join(one,join(join(converse(X_248),X_6),converse(A))) = join(one,join(X_6,converse(join(A,X_248)))),
inference(resolve,[$cnf( $equal(join(join(converse(X_248),X_6),converse(A)),join(X_6,converse(join(A,X_248)))) )],[refute_0_1563,refute_0_1566]) ).
cnf(refute_0_1568,plain,
join(one,join(join(X_134,one),C)) = join(join(one,join(X_134,one)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(one)),bind(B,$fot(join(X_134,one)))]]) ).
cnf(refute_0_1569,plain,
join(join(one,X_122),one) = join(one,join(one,X_122)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(one,X_122))),bind(B,$fot(one))]]) ).
cnf(refute_0_1570,plain,
( join(join(one,X_122),one) != join(one,join(one,X_122))
| join(one,join(one,X_122)) != join(one,X_122)
| join(join(one,X_122),one) = join(one,X_122) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(one,X_122),one),join(one,X_122)) ),[0],$fot(join(one,join(one,X_122)))]]) ).
cnf(refute_0_1571,plain,
( join(join(one,X_122),one) != join(one,join(one,X_122))
| join(join(one,X_122),one) = join(one,X_122) ),
inference(resolve,[$cnf( $equal(join(one,join(one,X_122)),join(one,X_122)) )],[refute_0_1483,refute_0_1570]) ).
cnf(refute_0_1572,plain,
join(join(one,X_122),one) = join(one,X_122),
inference(resolve,[$cnf( $equal(join(join(one,X_122),one),join(one,join(one,X_122))) )],[refute_0_1569,refute_0_1571]) ).
cnf(refute_0_1573,plain,
join(join(one,X_122),one) = join(one,join(X_122,one)),
inference(subst,[],[refute_0_147:[bind(A,$fot(one)),bind(B,$fot(X_122)),bind(C,$fot(one))]]) ).
cnf(refute_0_1574,plain,
( join(join(one,X_122),one) != join(one,X_122)
| join(join(one,X_122),one) != join(one,join(X_122,one))
| join(one,join(X_122,one)) = join(one,X_122) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(one,X_122),one),join(one,X_122)) ),[0],$fot(join(one,join(X_122,one)))]]) ).
cnf(refute_0_1575,plain,
( join(join(one,X_122),one) != join(one,X_122)
| join(one,join(X_122,one)) = join(one,X_122) ),
inference(resolve,[$cnf( $equal(join(join(one,X_122),one),join(one,join(X_122,one))) )],[refute_0_1573,refute_0_1574]) ).
cnf(refute_0_1576,plain,
join(one,join(X_122,one)) = join(one,X_122),
inference(resolve,[$cnf( $equal(join(join(one,X_122),one),join(one,X_122)) )],[refute_0_1572,refute_0_1575]) ).
cnf(refute_0_1577,plain,
join(one,join(X_134,one)) = join(one,X_134),
inference(subst,[],[refute_0_1576:[bind(X_122,$fot(X_134))]]) ).
cnf(refute_0_1578,plain,
( join(one,join(X_134,one)) != join(one,X_134)
| join(one,join(join(X_134,one),C)) != join(join(one,join(X_134,one)),C)
| join(one,join(join(X_134,one),C)) = join(join(one,X_134),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_134,one),C)),join(join(one,join(X_134,one)),C)) ),[1,0],$fot(join(one,X_134))]]) ).
cnf(refute_0_1579,plain,
( join(one,join(join(X_134,one),C)) != join(join(one,join(X_134,one)),C)
| join(one,join(join(X_134,one),C)) = join(join(one,X_134),C) ),
inference(resolve,[$cnf( $equal(join(one,join(X_134,one)),join(one,X_134)) )],[refute_0_1577,refute_0_1578]) ).
cnf(refute_0_1580,plain,
join(one,join(join(X_134,one),C)) = join(join(one,X_134),C),
inference(resolve,[$cnf( $equal(join(one,join(join(X_134,one),C)),join(join(one,join(X_134,one)),C)) )],[refute_0_1568,refute_0_1579]) ).
cnf(refute_0_1581,plain,
join(one,join(X_134,join(one,C))) = join(X_134,join(one,C)),
inference(subst,[],[refute_0_1502:[bind(A,$fot(X_134)),bind(X_122,$fot(C))]]) ).
cnf(refute_0_1582,plain,
join(join(X_134,one),C) = join(X_134,join(one,C)),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_134)),bind(B,$fot(one))]]) ).
cnf(refute_0_1583,plain,
join(one,join(join(X_134,one),C)) = join(one,join(join(X_134,one),C)),
introduced(tautology,[refl,[$fot(join(one,join(join(X_134,one),C)))]]) ).
cnf(refute_0_1584,plain,
( join(join(X_134,one),C) != join(X_134,join(one,C))
| join(one,join(join(X_134,one),C)) != join(one,join(join(X_134,one),C))
| join(one,join(join(X_134,one),C)) = join(one,join(X_134,join(one,C))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_134,one),C)),join(one,join(join(X_134,one),C))) ),[1,1],$fot(join(X_134,join(one,C)))]]) ).
cnf(refute_0_1585,plain,
( join(join(X_134,one),C) != join(X_134,join(one,C))
| join(one,join(join(X_134,one),C)) = join(one,join(X_134,join(one,C))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_134,one),C)),join(one,join(join(X_134,one),C))) )],[refute_0_1583,refute_0_1584]) ).
cnf(refute_0_1586,plain,
join(one,join(join(X_134,one),C)) = join(one,join(X_134,join(one,C))),
inference(resolve,[$cnf( $equal(join(join(X_134,one),C),join(X_134,join(one,C))) )],[refute_0_1582,refute_0_1585]) ).
cnf(refute_0_1587,plain,
( join(one,join(X_134,join(one,C))) != join(X_134,join(one,C))
| join(one,join(join(X_134,one),C)) != join(one,join(X_134,join(one,C)))
| join(one,join(join(X_134,one),C)) = join(X_134,join(one,C)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(one,join(join(X_134,one),C)))),bind(Y,$fot(join(one,join(X_134,join(one,C))))),bind(Z,$fot(join(X_134,join(one,C))))]]) ).
cnf(refute_0_1588,plain,
( join(one,join(X_134,join(one,C))) != join(X_134,join(one,C))
| join(one,join(join(X_134,one),C)) = join(X_134,join(one,C)) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_134,one),C)),join(one,join(X_134,join(one,C)))) )],[refute_0_1586,refute_0_1587]) ).
cnf(refute_0_1589,plain,
join(one,join(join(X_134,one),C)) = join(X_134,join(one,C)),
inference(resolve,[$cnf( $equal(join(one,join(X_134,join(one,C))),join(X_134,join(one,C))) )],[refute_0_1581,refute_0_1588]) ).
cnf(refute_0_1590,plain,
( join(one,join(join(X_134,one),C)) != join(X_134,join(one,C))
| join(one,join(join(X_134,one),C)) != join(join(one,X_134),C)
| join(X_134,join(one,C)) = join(join(one,X_134),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_134,one),C)),join(join(one,X_134),C)) ),[0],$fot(join(X_134,join(one,C)))]]) ).
cnf(refute_0_1591,plain,
( join(one,join(join(X_134,one),C)) != join(join(one,X_134),C)
| join(X_134,join(one,C)) = join(join(one,X_134),C) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_134,one),C)),join(X_134,join(one,C))) )],[refute_0_1589,refute_0_1590]) ).
cnf(refute_0_1592,plain,
join(join(one,X_134),C) = join(one,join(X_134,C)),
inference(subst,[],[refute_0_147:[bind(A,$fot(one)),bind(B,$fot(X_134))]]) ).
cnf(refute_0_1593,plain,
( join(X_134,join(one,C)) != join(join(one,X_134),C)
| join(join(one,X_134),C) != join(one,join(X_134,C))
| join(X_134,join(one,C)) = join(one,join(X_134,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_134,join(one,C)),join(one,join(X_134,C))) ),[0],$fot(join(join(one,X_134),C))]]) ).
cnf(refute_0_1594,plain,
( join(X_134,join(one,C)) != join(join(one,X_134),C)
| join(X_134,join(one,C)) = join(one,join(X_134,C)) ),
inference(resolve,[$cnf( $equal(join(join(one,X_134),C),join(one,join(X_134,C))) )],[refute_0_1592,refute_0_1593]) ).
cnf(refute_0_1595,plain,
( join(one,join(join(X_134,one),C)) != join(join(one,X_134),C)
| join(X_134,join(one,C)) = join(one,join(X_134,C)) ),
inference(resolve,[$cnf( $equal(join(X_134,join(one,C)),join(join(one,X_134),C)) )],[refute_0_1591,refute_0_1594]) ).
cnf(refute_0_1596,plain,
join(X_134,join(one,C)) = join(one,join(X_134,C)),
inference(resolve,[$cnf( $equal(join(one,join(join(X_134,one),C)),join(join(one,X_134),C)) )],[refute_0_1580,refute_0_1595]) ).
cnf(refute_0_1597,plain,
join(X_237,join(one,X_236)) = join(one,join(X_237,X_236)),
inference(subst,[],[refute_0_1596:[bind(C,$fot(X_236)),bind(X_134,$fot(X_237))]]) ).
cnf(refute_0_1598,plain,
join(X_236,X_237) = join(X_237,X_236),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_236)),bind(B,$fot(X_237))]]) ).
cnf(refute_0_1599,plain,
( join(X_236,X_237) != join(X_237,X_236)
| join(X_237,X_236) = join(X_236,X_237) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_236,X_237))),bind(Y,$fot(join(X_237,X_236)))]]) ).
cnf(refute_0_1600,plain,
join(X_237,X_236) = join(X_236,X_237),
inference(resolve,[$cnf( $equal(join(X_236,X_237),join(X_237,X_236)) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
( join(X_237,X_236) != join(X_236,X_237)
| join(X_237,join(one,X_236)) != join(one,join(X_237,X_236))
| join(X_237,join(one,X_236)) = join(one,join(X_236,X_237)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_237,join(one,X_236)),join(one,join(X_237,X_236))) ),[1,1],$fot(join(X_236,X_237))]]) ).
cnf(refute_0_1602,plain,
( join(X_237,join(one,X_236)) != join(one,join(X_237,X_236))
| join(X_237,join(one,X_236)) = join(one,join(X_236,X_237)) ),
inference(resolve,[$cnf( $equal(join(X_237,X_236),join(X_236,X_237)) )],[refute_0_1600,refute_0_1601]) ).
cnf(refute_0_1603,plain,
join(X_237,join(one,X_236)) = join(one,join(X_236,X_237)),
inference(resolve,[$cnf( $equal(join(X_237,join(one,X_236)),join(one,join(X_237,X_236))) )],[refute_0_1597,refute_0_1602]) ).
cnf(refute_0_1604,plain,
join(converse(A),join(one,join(converse(X_248),X_6))) = join(one,join(join(converse(X_248),X_6),converse(A))),
inference(subst,[],[refute_0_1603:[bind(X_236,$fot(join(converse(X_248),X_6))),bind(X_237,$fot(converse(A)))]]) ).
cnf(refute_0_1605,plain,
( join(converse(A),join(one,join(converse(X_248),X_6))) != join(one,join(join(converse(X_248),X_6),converse(A)))
| join(one,join(join(converse(X_248),X_6),converse(A))) != join(one,join(X_6,converse(join(A,X_248))))
| join(converse(A),join(one,join(converse(X_248),X_6))) = join(one,join(X_6,converse(join(A,X_248)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(A),join(one,join(converse(X_248),X_6))))),bind(Y,$fot(join(one,join(join(converse(X_248),X_6),converse(A))))),bind(Z,$fot(join(one,join(X_6,converse(join(A,X_248))))))]]) ).
cnf(refute_0_1606,plain,
( join(one,join(join(converse(X_248),X_6),converse(A))) != join(one,join(X_6,converse(join(A,X_248))))
| join(converse(A),join(one,join(converse(X_248),X_6))) = join(one,join(X_6,converse(join(A,X_248)))) ),
inference(resolve,[$cnf( $equal(join(converse(A),join(one,join(converse(X_248),X_6))),join(one,join(join(converse(X_248),X_6),converse(A)))) )],[refute_0_1604,refute_0_1605]) ).
cnf(refute_0_1607,plain,
join(converse(A),join(one,join(converse(X_248),X_6))) = join(one,join(X_6,converse(join(A,X_248)))),
inference(resolve,[$cnf( $equal(join(one,join(join(converse(X_248),X_6),converse(A))),join(one,join(X_6,converse(join(A,X_248))))) )],[refute_0_1567,refute_0_1606]) ).
cnf(refute_0_1608,plain,
( join(converse(A),join(one,join(converse(X_248),X_6))) != join(one,join(X_6,converse(join(A,X_248))))
| join(converse(join(A,join(X_248,one))),X_6) != join(converse(A),join(one,join(converse(X_248),X_6)))
| join(converse(join(A,join(X_248,one))),X_6) = join(one,join(X_6,converse(join(A,X_248)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(A,join(X_248,one))),X_6),join(converse(A),join(one,join(converse(X_248),X_6)))) ),[1],$fot(join(one,join(X_6,converse(join(A,X_248)))))]]) ).
cnf(refute_0_1609,plain,
( join(converse(join(A,join(X_248,one))),X_6) != join(converse(A),join(one,join(converse(X_248),X_6)))
| join(converse(join(A,join(X_248,one))),X_6) = join(one,join(X_6,converse(join(A,X_248)))) ),
inference(resolve,[$cnf( $equal(join(converse(A),join(one,join(converse(X_248),X_6))),join(one,join(X_6,converse(join(A,X_248))))) )],[refute_0_1607,refute_0_1608]) ).
cnf(refute_0_1610,plain,
join(converse(join(A,join(X_248,one))),X_6) = join(one,join(X_6,converse(join(A,X_248)))),
inference(resolve,[$cnf( $equal(join(converse(join(A,join(X_248,one))),X_6),join(converse(A),join(one,join(converse(X_248),X_6)))) )],[refute_0_1527,refute_0_1609]) ).
cnf(refute_0_1611,plain,
join(converse(join(one,join(converse(X_206),one))),X_249) = join(one,join(X_249,converse(join(one,converse(X_206))))),
inference(subst,[],[refute_0_1610:[bind(A,$fot(one)),bind(X_248,$fot(converse(X_206))),bind(X_6,$fot(X_249))]]) ).
cnf(refute_0_1612,plain,
( join(converse(join(one,join(converse(X_206),one))),X_249) != join(one,join(X_249,converse(join(one,converse(X_206)))))
| join(one,join(X_249,converse(join(one,converse(X_206))))) != join(X_249,join(one,X_206))
| join(converse(join(one,join(converse(X_206),one))),X_249) = join(X_249,join(one,X_206)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(join(one,join(converse(X_206),one))),X_249))),bind(Y,$fot(join(one,join(X_249,converse(join(one,converse(X_206))))))),bind(Z,$fot(join(X_249,join(one,X_206))))]]) ).
cnf(refute_0_1613,plain,
( join(one,join(X_249,converse(join(one,converse(X_206))))) != join(X_249,join(one,X_206))
| join(converse(join(one,join(converse(X_206),one))),X_249) = join(X_249,join(one,X_206)) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(converse(X_206),one))),X_249),join(one,join(X_249,converse(join(one,converse(X_206)))))) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
join(converse(join(one,join(converse(X_206),one))),X_249) = join(X_249,join(one,X_206)),
inference(resolve,[$cnf( $equal(join(one,join(X_249,converse(join(one,converse(X_206))))),join(X_249,join(one,X_206))) )],[refute_0_1522,refute_0_1613]) ).
cnf(refute_0_1615,plain,
( join(converse(join(one,join(converse(X_206),one))),X_249) != join(X_249,join(one,X_206))
| join(converse(join(one,join(converse(X_206),one))),X_249) != join(one,join(converse(converse(join(X_206,one))),X_249))
| join(X_249,join(one,X_206)) = join(one,join(converse(converse(join(X_206,one))),X_249)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(one,join(converse(X_206),one))),X_249),join(one,join(converse(converse(join(X_206,one))),X_249))) ),[0],$fot(join(X_249,join(one,X_206)))]]) ).
cnf(refute_0_1616,plain,
( join(converse(join(one,join(converse(X_206),one))),X_249) != join(one,join(converse(converse(join(X_206,one))),X_249))
| join(X_249,join(one,X_206)) = join(one,join(converse(converse(join(X_206,one))),X_249)) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(converse(X_206),one))),X_249),join(X_249,join(one,X_206))) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
join(one,join(X_206,join(one,X_249))) = join(X_206,join(one,X_249)),
inference(subst,[],[refute_0_1502:[bind(A,$fot(X_206)),bind(X_122,$fot(X_249))]]) ).
cnf(refute_0_1618,plain,
join(join(X_206,one),X_249) = join(X_206,join(one,X_249)),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_206)),bind(B,$fot(one)),bind(C,$fot(X_249))]]) ).
cnf(refute_0_1619,plain,
converse(converse(join(X_206,one))) = join(X_206,one),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(X_206,one)))]]) ).
cnf(refute_0_1620,plain,
join(converse(converse(join(X_206,one))),X_249) = join(converse(converse(join(X_206,one))),X_249),
introduced(tautology,[refl,[$fot(join(converse(converse(join(X_206,one))),X_249))]]) ).
cnf(refute_0_1621,plain,
( converse(converse(join(X_206,one))) != join(X_206,one)
| join(converse(converse(join(X_206,one))),X_249) != join(converse(converse(join(X_206,one))),X_249)
| join(converse(converse(join(X_206,one))),X_249) = join(join(X_206,one),X_249) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(join(X_206,one))),X_249),join(converse(converse(join(X_206,one))),X_249)) ),[1,0],$fot(join(X_206,one))]]) ).
cnf(refute_0_1622,plain,
( converse(converse(join(X_206,one))) != join(X_206,one)
| join(converse(converse(join(X_206,one))),X_249) = join(join(X_206,one),X_249) ),
inference(resolve,[$cnf( $equal(join(converse(converse(join(X_206,one))),X_249),join(converse(converse(join(X_206,one))),X_249)) )],[refute_0_1620,refute_0_1621]) ).
cnf(refute_0_1623,plain,
join(converse(converse(join(X_206,one))),X_249) = join(join(X_206,one),X_249),
inference(resolve,[$cnf( $equal(converse(converse(join(X_206,one))),join(X_206,one)) )],[refute_0_1619,refute_0_1622]) ).
cnf(refute_0_1624,plain,
( join(converse(converse(join(X_206,one))),X_249) != join(join(X_206,one),X_249)
| join(join(X_206,one),X_249) != join(X_206,join(one,X_249))
| join(converse(converse(join(X_206,one))),X_249) = join(X_206,join(one,X_249)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(converse(join(X_206,one))),X_249))),bind(Y,$fot(join(join(X_206,one),X_249))),bind(Z,$fot(join(X_206,join(one,X_249))))]]) ).
cnf(refute_0_1625,plain,
( join(join(X_206,one),X_249) != join(X_206,join(one,X_249))
| join(converse(converse(join(X_206,one))),X_249) = join(X_206,join(one,X_249)) ),
inference(resolve,[$cnf( $equal(join(converse(converse(join(X_206,one))),X_249),join(join(X_206,one),X_249)) )],[refute_0_1623,refute_0_1624]) ).
cnf(refute_0_1626,plain,
join(converse(converse(join(X_206,one))),X_249) = join(X_206,join(one,X_249)),
inference(resolve,[$cnf( $equal(join(join(X_206,one),X_249),join(X_206,join(one,X_249))) )],[refute_0_1618,refute_0_1625]) ).
cnf(refute_0_1627,plain,
join(one,join(converse(converse(join(X_206,one))),X_249)) = join(one,join(converse(converse(join(X_206,one))),X_249)),
introduced(tautology,[refl,[$fot(join(one,join(converse(converse(join(X_206,one))),X_249)))]]) ).
cnf(refute_0_1628,plain,
( join(converse(converse(join(X_206,one))),X_249) != join(X_206,join(one,X_249))
| join(one,join(converse(converse(join(X_206,one))),X_249)) != join(one,join(converse(converse(join(X_206,one))),X_249))
| join(one,join(converse(converse(join(X_206,one))),X_249)) = join(one,join(X_206,join(one,X_249))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(converse(join(X_206,one))),X_249)),join(one,join(converse(converse(join(X_206,one))),X_249))) ),[1,1],$fot(join(X_206,join(one,X_249)))]]) ).
cnf(refute_0_1629,plain,
( join(converse(converse(join(X_206,one))),X_249) != join(X_206,join(one,X_249))
| join(one,join(converse(converse(join(X_206,one))),X_249)) = join(one,join(X_206,join(one,X_249))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(converse(join(X_206,one))),X_249)),join(one,join(converse(converse(join(X_206,one))),X_249))) )],[refute_0_1627,refute_0_1628]) ).
cnf(refute_0_1630,plain,
join(one,join(converse(converse(join(X_206,one))),X_249)) = join(one,join(X_206,join(one,X_249))),
inference(resolve,[$cnf( $equal(join(converse(converse(join(X_206,one))),X_249),join(X_206,join(one,X_249))) )],[refute_0_1626,refute_0_1629]) ).
cnf(refute_0_1631,plain,
( join(one,join(X_206,join(one,X_249))) != join(X_206,join(one,X_249))
| join(one,join(converse(converse(join(X_206,one))),X_249)) != join(one,join(X_206,join(one,X_249)))
| join(one,join(converse(converse(join(X_206,one))),X_249)) = join(X_206,join(one,X_249)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(one,join(converse(converse(join(X_206,one))),X_249)))),bind(Y,$fot(join(one,join(X_206,join(one,X_249))))),bind(Z,$fot(join(X_206,join(one,X_249))))]]) ).
cnf(refute_0_1632,plain,
( join(one,join(X_206,join(one,X_249))) != join(X_206,join(one,X_249))
| join(one,join(converse(converse(join(X_206,one))),X_249)) = join(X_206,join(one,X_249)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(converse(join(X_206,one))),X_249)),join(one,join(X_206,join(one,X_249)))) )],[refute_0_1630,refute_0_1631]) ).
cnf(refute_0_1633,plain,
join(one,join(converse(converse(join(X_206,one))),X_249)) = join(X_206,join(one,X_249)),
inference(resolve,[$cnf( $equal(join(one,join(X_206,join(one,X_249))),join(X_206,join(one,X_249))) )],[refute_0_1617,refute_0_1632]) ).
cnf(refute_0_1634,plain,
( join(X_249,join(one,X_206)) != join(one,join(converse(converse(join(X_206,one))),X_249))
| join(one,join(converse(converse(join(X_206,one))),X_249)) != join(X_206,join(one,X_249))
| join(X_249,join(one,X_206)) = join(X_206,join(one,X_249)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_249,join(one,X_206)),join(X_206,join(one,X_249))) ),[0],$fot(join(one,join(converse(converse(join(X_206,one))),X_249)))]]) ).
cnf(refute_0_1635,plain,
( join(X_249,join(one,X_206)) != join(one,join(converse(converse(join(X_206,one))),X_249))
| join(X_249,join(one,X_206)) = join(X_206,join(one,X_249)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(converse(join(X_206,one))),X_249)),join(X_206,join(one,X_249))) )],[refute_0_1633,refute_0_1634]) ).
cnf(refute_0_1636,plain,
( join(converse(join(one,join(converse(X_206),one))),X_249) != join(one,join(converse(converse(join(X_206,one))),X_249))
| join(X_249,join(one,X_206)) = join(X_206,join(one,X_249)) ),
inference(resolve,[$cnf( $equal(join(X_249,join(one,X_206)),join(one,join(converse(converse(join(X_206,one))),X_249))) )],[refute_0_1616,refute_0_1635]) ).
cnf(refute_0_1637,plain,
join(X_249,join(one,X_206)) = join(X_206,join(one,X_249)),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(converse(X_206),one))),X_249),join(one,join(converse(converse(join(X_206,one))),X_249))) )],[refute_0_1331,refute_0_1636]) ).
cnf(refute_0_1638,plain,
join(X_249,join(one,converse(X_569))) = join(converse(X_569),join(one,X_249)),
inference(subst,[],[refute_0_1637:[bind(X_206,$fot(converse(X_569)))]]) ).
cnf(refute_0_1639,plain,
converse(join(X_4,converse(join(X_23,X_24)))) = join(converse(X_4),join(X_23,X_24)),
inference(subst,[],[refute_0_128:[bind(A,$fot(join(X_23,X_24)))]]) ).
cnf(refute_0_1640,plain,
( converse(join(X_23,X_24)) != converse(join(X_24,X_23))
| converse(join(X_4,converse(join(X_23,X_24)))) != join(converse(X_4),join(X_23,X_24))
| converse(join(X_4,converse(join(X_24,X_23)))) = join(converse(X_4),join(X_23,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(join(X_23,X_24)))),join(converse(X_4),join(X_23,X_24))) ),[0,0,1],$fot(converse(join(X_24,X_23)))]]) ).
cnf(refute_0_1641,plain,
( converse(join(X_4,converse(join(X_23,X_24)))) != join(converse(X_4),join(X_23,X_24))
| converse(join(X_4,converse(join(X_24,X_23)))) = join(converse(X_4),join(X_23,X_24)) ),
inference(resolve,[$cnf( $equal(converse(join(X_23,X_24)),converse(join(X_24,X_23))) )],[refute_0_723,refute_0_1640]) ).
cnf(refute_0_1642,plain,
converse(join(X_4,converse(join(X_24,X_23)))) = join(converse(X_4),join(X_23,X_24)),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_23,X_24)))),join(converse(X_4),join(X_23,X_24))) )],[refute_0_1639,refute_0_1641]) ).
cnf(refute_0_1643,plain,
converse(join(X_4,converse(join(X_24,X_23)))) = join(converse(X_4),join(X_24,X_23)),
inference(subst,[],[refute_0_128:[bind(A,$fot(join(X_24,X_23)))]]) ).
cnf(refute_0_1644,plain,
( converse(join(X_4,converse(join(X_24,X_23)))) != join(converse(X_4),join(X_23,X_24))
| converse(join(X_4,converse(join(X_24,X_23)))) != join(converse(X_4),join(X_24,X_23))
| join(converse(X_4),join(X_24,X_23)) = join(converse(X_4),join(X_23,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(join(X_24,X_23)))),join(converse(X_4),join(X_23,X_24))) ),[0],$fot(join(converse(X_4),join(X_24,X_23)))]]) ).
cnf(refute_0_1645,plain,
( converse(join(X_4,converse(join(X_24,X_23)))) != join(converse(X_4),join(X_23,X_24))
| join(converse(X_4),join(X_24,X_23)) = join(converse(X_4),join(X_23,X_24)) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_24,X_23)))),join(converse(X_4),join(X_24,X_23))) )],[refute_0_1643,refute_0_1644]) ).
cnf(refute_0_1646,plain,
join(converse(X_4),join(X_24,X_23)) = join(converse(X_4),join(X_23,X_24)),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_24,X_23)))),join(converse(X_4),join(X_23,X_24))) )],[refute_0_1642,refute_0_1645]) ).
cnf(refute_0_1647,plain,
join(converse(X_569),join(X_249,one)) = join(converse(X_569),join(one,X_249)),
inference(subst,[],[refute_0_1646:[bind(X_23,$fot(one)),bind(X_24,$fot(X_249)),bind(X_4,$fot(X_569))]]) ).
cnf(refute_0_1648,plain,
( join(converse(X_569),join(X_249,one)) != join(converse(X_569),join(one,X_249))
| join(converse(X_569),join(one,X_249)) = join(converse(X_569),join(X_249,one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(converse(X_569),join(X_249,one)))),bind(Y,$fot(join(converse(X_569),join(one,X_249))))]]) ).
cnf(refute_0_1649,plain,
join(converse(X_569),join(one,X_249)) = join(converse(X_569),join(X_249,one)),
inference(resolve,[$cnf( $equal(join(converse(X_569),join(X_249,one)),join(converse(X_569),join(one,X_249))) )],[refute_0_1647,refute_0_1648]) ).
cnf(refute_0_1650,plain,
( join(X_249,join(one,converse(X_569))) != join(converse(X_569),join(one,X_249))
| join(converse(X_569),join(one,X_249)) != join(converse(X_569),join(X_249,one))
| join(X_249,join(one,converse(X_569))) = join(converse(X_569),join(X_249,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_249,join(one,converse(X_569))),join(converse(X_569),join(X_249,one))) ),[0],$fot(join(converse(X_569),join(one,X_249)))]]) ).
cnf(refute_0_1651,plain,
( join(X_249,join(one,converse(X_569))) != join(converse(X_569),join(one,X_249))
| join(X_249,join(one,converse(X_569))) = join(converse(X_569),join(X_249,one)) ),
inference(resolve,[$cnf( $equal(join(converse(X_569),join(one,X_249)),join(converse(X_569),join(X_249,one))) )],[refute_0_1649,refute_0_1650]) ).
cnf(refute_0_1652,plain,
join(X_249,join(one,converse(X_569))) = join(converse(X_569),join(X_249,one)),
inference(resolve,[$cnf( $equal(join(X_249,join(one,converse(X_569))),join(converse(X_569),join(one,X_249))) )],[refute_0_1638,refute_0_1651]) ).
cnf(refute_0_1653,plain,
join(one,converse(X_569)) = converse(join(one,X_569)),
inference(subst,[],[refute_0_1258:[bind(X_5,$fot(X_569))]]) ).
cnf(refute_0_1654,plain,
join(X_249,join(one,converse(X_569))) = join(X_249,join(one,converse(X_569))),
introduced(tautology,[refl,[$fot(join(X_249,join(one,converse(X_569))))]]) ).
cnf(refute_0_1655,plain,
( join(X_249,join(one,converse(X_569))) != join(X_249,join(one,converse(X_569)))
| join(one,converse(X_569)) != converse(join(one,X_569))
| join(X_249,join(one,converse(X_569))) = join(X_249,converse(join(one,X_569))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_249,join(one,converse(X_569))),join(X_249,join(one,converse(X_569)))) ),[1,1],$fot(converse(join(one,X_569)))]]) ).
cnf(refute_0_1656,plain,
( join(one,converse(X_569)) != converse(join(one,X_569))
| join(X_249,join(one,converse(X_569))) = join(X_249,converse(join(one,X_569))) ),
inference(resolve,[$cnf( $equal(join(X_249,join(one,converse(X_569))),join(X_249,join(one,converse(X_569)))) )],[refute_0_1654,refute_0_1655]) ).
cnf(refute_0_1657,plain,
join(X_249,join(one,converse(X_569))) = join(X_249,converse(join(one,X_569))),
inference(resolve,[$cnf( $equal(join(one,converse(X_569)),converse(join(one,X_569))) )],[refute_0_1653,refute_0_1656]) ).
cnf(refute_0_1658,plain,
( join(X_249,join(one,converse(X_569))) != join(X_249,converse(join(one,X_569)))
| join(X_249,join(one,converse(X_569))) != join(converse(X_569),join(X_249,one))
| join(X_249,converse(join(one,X_569))) = join(converse(X_569),join(X_249,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_249,join(one,converse(X_569))),join(converse(X_569),join(X_249,one))) ),[0],$fot(join(X_249,converse(join(one,X_569))))]]) ).
cnf(refute_0_1659,plain,
( join(X_249,join(one,converse(X_569))) != join(converse(X_569),join(X_249,one))
| join(X_249,converse(join(one,X_569))) = join(converse(X_569),join(X_249,one)) ),
inference(resolve,[$cnf( $equal(join(X_249,join(one,converse(X_569))),join(X_249,converse(join(one,X_569)))) )],[refute_0_1657,refute_0_1658]) ).
cnf(refute_0_1660,plain,
join(X_119,join(converse(X_569),X_121)) = join(converse(X_569),join(X_119,X_121)),
inference(subst,[],[refute_0_151:[bind(X_120,$fot(converse(X_569)))]]) ).
cnf(refute_0_1661,plain,
join(converse(X_569),join(X_119,X_121)) = join(converse(X_569),join(X_121,X_119)),
inference(subst,[],[refute_0_1646:[bind(X_23,$fot(X_121)),bind(X_24,$fot(X_119)),bind(X_4,$fot(X_569))]]) ).
cnf(refute_0_1662,plain,
( join(X_119,join(converse(X_569),X_121)) != join(converse(X_569),join(X_119,X_121))
| join(converse(X_569),join(X_119,X_121)) != join(converse(X_569),join(X_121,X_119))
| join(X_119,join(converse(X_569),X_121)) = join(converse(X_569),join(X_121,X_119)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_119,join(converse(X_569),X_121)),join(converse(X_569),join(X_121,X_119))) ),[0],$fot(join(converse(X_569),join(X_119,X_121)))]]) ).
cnf(refute_0_1663,plain,
( join(X_119,join(converse(X_569),X_121)) != join(converse(X_569),join(X_119,X_121))
| join(X_119,join(converse(X_569),X_121)) = join(converse(X_569),join(X_121,X_119)) ),
inference(resolve,[$cnf( $equal(join(converse(X_569),join(X_119,X_121)),join(converse(X_569),join(X_121,X_119))) )],[refute_0_1661,refute_0_1662]) ).
cnf(refute_0_1664,plain,
join(X_119,join(converse(X_569),X_121)) = join(converse(X_569),join(X_121,X_119)),
inference(resolve,[$cnf( $equal(join(X_119,join(converse(X_569),X_121)),join(converse(X_569),join(X_119,X_121))) )],[refute_0_1660,refute_0_1663]) ).
cnf(refute_0_1665,plain,
( join(X_119,join(converse(X_569),X_121)) != join(converse(X_569),join(X_121,X_119))
| join(converse(X_569),join(X_121,X_119)) = join(X_119,join(converse(X_569),X_121)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_119,join(converse(X_569),X_121)))),bind(Y,$fot(join(converse(X_569),join(X_121,X_119))))]]) ).
cnf(refute_0_1666,plain,
join(converse(X_569),join(X_121,X_119)) = join(X_119,join(converse(X_569),X_121)),
inference(resolve,[$cnf( $equal(join(X_119,join(converse(X_569),X_121)),join(converse(X_569),join(X_121,X_119))) )],[refute_0_1664,refute_0_1665]) ).
cnf(refute_0_1667,plain,
join(converse(X_569),join(X_249,one)) = join(one,join(converse(X_569),X_249)),
inference(subst,[],[refute_0_1666:[bind(X_119,$fot(one)),bind(X_121,$fot(X_249))]]) ).
cnf(refute_0_1668,plain,
( join(X_249,converse(join(one,X_569))) != join(converse(X_569),join(X_249,one))
| join(converse(X_569),join(X_249,one)) != join(one,join(converse(X_569),X_249))
| join(X_249,converse(join(one,X_569))) = join(one,join(converse(X_569),X_249)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_249,converse(join(one,X_569))),join(one,join(converse(X_569),X_249))) ),[0],$fot(join(converse(X_569),join(X_249,one)))]]) ).
cnf(refute_0_1669,plain,
( join(X_249,converse(join(one,X_569))) != join(converse(X_569),join(X_249,one))
| join(X_249,converse(join(one,X_569))) = join(one,join(converse(X_569),X_249)) ),
inference(resolve,[$cnf( $equal(join(converse(X_569),join(X_249,one)),join(one,join(converse(X_569),X_249))) )],[refute_0_1667,refute_0_1668]) ).
cnf(refute_0_1670,plain,
( join(X_249,join(one,converse(X_569))) != join(converse(X_569),join(X_249,one))
| join(X_249,converse(join(one,X_569))) = join(one,join(converse(X_569),X_249)) ),
inference(resolve,[$cnf( $equal(join(X_249,converse(join(one,X_569))),join(converse(X_569),join(X_249,one))) )],[refute_0_1659,refute_0_1669]) ).
cnf(refute_0_1671,plain,
join(X_249,converse(join(one,X_569))) = join(one,join(converse(X_569),X_249)),
inference(resolve,[$cnf( $equal(join(X_249,join(one,converse(X_569))),join(converse(X_569),join(X_249,one))) )],[refute_0_1652,refute_0_1670]) ).
cnf(refute_0_1672,plain,
join(X_570,converse(join(one,converse(X_5)))) = join(one,join(converse(converse(X_5)),X_570)),
inference(subst,[],[refute_0_1671:[bind(X_249,$fot(X_570)),bind(X_569,$fot(converse(X_5)))]]) ).
cnf(refute_0_1673,plain,
( join(X_570,converse(join(one,converse(X_5)))) != join(one,join(converse(converse(X_5)),X_570))
| join(one,converse(X_5)) != converse(join(one,X_5))
| join(X_570,converse(converse(join(one,X_5)))) = join(one,join(converse(converse(X_5)),X_570)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_570,converse(join(one,converse(X_5)))),join(one,join(converse(converse(X_5)),X_570))) ),[0,1,0],$fot(converse(join(one,X_5)))]]) ).
cnf(refute_0_1674,plain,
( join(X_570,converse(join(one,converse(X_5)))) != join(one,join(converse(converse(X_5)),X_570))
| join(X_570,converse(converse(join(one,X_5)))) = join(one,join(converse(converse(X_5)),X_570)) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_5)),converse(join(one,X_5))) )],[refute_0_1258,refute_0_1673]) ).
cnf(refute_0_1675,plain,
join(X_570,converse(converse(join(one,X_5)))) = join(one,join(converse(converse(X_5)),X_570)),
inference(resolve,[$cnf( $equal(join(X_570,converse(join(one,converse(X_5)))),join(one,join(converse(converse(X_5)),X_570))) )],[refute_0_1672,refute_0_1674]) ).
cnf(refute_0_1676,plain,
converse(converse(join(one,X_5))) = join(one,X_5),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,X_5)))]]) ).
cnf(refute_0_1677,plain,
join(X_570,converse(converse(join(one,X_5)))) = join(X_570,converse(converse(join(one,X_5)))),
introduced(tautology,[refl,[$fot(join(X_570,converse(converse(join(one,X_5)))))]]) ).
cnf(refute_0_1678,plain,
( converse(converse(join(one,X_5))) != join(one,X_5)
| join(X_570,converse(converse(join(one,X_5)))) != join(X_570,converse(converse(join(one,X_5))))
| join(X_570,converse(converse(join(one,X_5)))) = join(X_570,join(one,X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_570,converse(converse(join(one,X_5)))),join(X_570,converse(converse(join(one,X_5))))) ),[1,1],$fot(join(one,X_5))]]) ).
cnf(refute_0_1679,plain,
( converse(converse(join(one,X_5))) != join(one,X_5)
| join(X_570,converse(converse(join(one,X_5)))) = join(X_570,join(one,X_5)) ),
inference(resolve,[$cnf( $equal(join(X_570,converse(converse(join(one,X_5)))),join(X_570,converse(converse(join(one,X_5))))) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
join(X_570,converse(converse(join(one,X_5)))) = join(X_570,join(one,X_5)),
inference(resolve,[$cnf( $equal(converse(converse(join(one,X_5))),join(one,X_5)) )],[refute_0_1676,refute_0_1679]) ).
cnf(refute_0_1681,plain,
( join(X_570,converse(converse(join(one,X_5)))) != join(X_570,join(one,X_5))
| join(X_570,converse(converse(join(one,X_5)))) != join(one,join(converse(converse(X_5)),X_570))
| join(X_570,join(one,X_5)) = join(one,join(converse(converse(X_5)),X_570)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_570,converse(converse(join(one,X_5)))),join(one,join(converse(converse(X_5)),X_570))) ),[0],$fot(join(X_570,join(one,X_5)))]]) ).
cnf(refute_0_1682,plain,
( join(X_570,converse(converse(join(one,X_5)))) != join(one,join(converse(converse(X_5)),X_570))
| join(X_570,join(one,X_5)) = join(one,join(converse(converse(X_5)),X_570)) ),
inference(resolve,[$cnf( $equal(join(X_570,converse(converse(join(one,X_5)))),join(X_570,join(one,X_5))) )],[refute_0_1680,refute_0_1681]) ).
cnf(refute_0_1683,plain,
converse(converse(X_5)) = X_5,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_5))]]) ).
cnf(refute_0_1684,plain,
join(converse(converse(X_5)),X_570) = join(converse(converse(X_5)),X_570),
introduced(tautology,[refl,[$fot(join(converse(converse(X_5)),X_570))]]) ).
cnf(refute_0_1685,plain,
( converse(converse(X_5)) != X_5
| join(converse(converse(X_5)),X_570) != join(converse(converse(X_5)),X_570)
| join(converse(converse(X_5)),X_570) = join(X_5,X_570) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(X_5)),X_570),join(converse(converse(X_5)),X_570)) ),[1,0],$fot(X_5)]]) ).
cnf(refute_0_1686,plain,
( converse(converse(X_5)) != X_5
| join(converse(converse(X_5)),X_570) = join(X_5,X_570) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_5)),X_570),join(converse(converse(X_5)),X_570)) )],[refute_0_1684,refute_0_1685]) ).
cnf(refute_0_1687,plain,
join(converse(converse(X_5)),X_570) = join(X_5,X_570),
inference(resolve,[$cnf( $equal(converse(converse(X_5)),X_5) )],[refute_0_1683,refute_0_1686]) ).
cnf(refute_0_1688,plain,
join(one,join(converse(converse(X_5)),X_570)) = join(one,join(converse(converse(X_5)),X_570)),
introduced(tautology,[refl,[$fot(join(one,join(converse(converse(X_5)),X_570)))]]) ).
cnf(refute_0_1689,plain,
( join(converse(converse(X_5)),X_570) != join(X_5,X_570)
| join(one,join(converse(converse(X_5)),X_570)) != join(one,join(converse(converse(X_5)),X_570))
| join(one,join(converse(converse(X_5)),X_570)) = join(one,join(X_5,X_570)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(converse(X_5)),X_570)),join(one,join(converse(converse(X_5)),X_570))) ),[1,1],$fot(join(X_5,X_570))]]) ).
cnf(refute_0_1690,plain,
( join(converse(converse(X_5)),X_570) != join(X_5,X_570)
| join(one,join(converse(converse(X_5)),X_570)) = join(one,join(X_5,X_570)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(converse(X_5)),X_570)),join(one,join(converse(converse(X_5)),X_570))) )],[refute_0_1688,refute_0_1689]) ).
cnf(refute_0_1691,plain,
join(one,join(converse(converse(X_5)),X_570)) = join(one,join(X_5,X_570)),
inference(resolve,[$cnf( $equal(join(converse(converse(X_5)),X_570),join(X_5,X_570)) )],[refute_0_1687,refute_0_1690]) ).
cnf(refute_0_1692,plain,
( join(X_570,join(one,X_5)) != join(one,join(converse(converse(X_5)),X_570))
| join(one,join(converse(converse(X_5)),X_570)) != join(one,join(X_5,X_570))
| join(X_570,join(one,X_5)) = join(one,join(X_5,X_570)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_570,join(one,X_5)),join(one,join(X_5,X_570))) ),[0],$fot(join(one,join(converse(converse(X_5)),X_570)))]]) ).
cnf(refute_0_1693,plain,
( join(X_570,join(one,X_5)) != join(one,join(converse(converse(X_5)),X_570))
| join(X_570,join(one,X_5)) = join(one,join(X_5,X_570)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(converse(X_5)),X_570)),join(one,join(X_5,X_570))) )],[refute_0_1691,refute_0_1692]) ).
cnf(refute_0_1694,plain,
( join(X_570,converse(converse(join(one,X_5)))) != join(one,join(converse(converse(X_5)),X_570))
| join(X_570,join(one,X_5)) = join(one,join(X_5,X_570)) ),
inference(resolve,[$cnf( $equal(join(X_570,join(one,X_5)),join(one,join(converse(converse(X_5)),X_570))) )],[refute_0_1682,refute_0_1693]) ).
cnf(refute_0_1695,plain,
join(X_570,join(one,X_5)) = join(one,join(X_5,X_570)),
inference(resolve,[$cnf( $equal(join(X_570,converse(converse(join(one,X_5)))),join(one,join(converse(converse(X_5)),X_570))) )],[refute_0_1675,refute_0_1694]) ).
cnf(refute_0_1696,plain,
join(X_570,join(one,composition(one,converse(X_1434)))) = join(one,join(composition(one,converse(X_1434)),X_570)),
inference(subst,[],[refute_0_1695:[bind(X_5,$fot(composition(one,converse(X_1434))))]]) ).
cnf(refute_0_1697,plain,
composition(one,converse(join(X_1434,one))) = join(one,composition(one,converse(X_1434))),
inference(subst,[],[refute_0_116:[bind(A,$fot(one)),bind(X_150,$fot(X_1434))]]) ).
cnf(refute_0_1698,plain,
( composition(one,converse(join(X_1434,one))) != join(one,composition(one,converse(X_1434)))
| join(one,composition(one,converse(X_1434))) = composition(one,converse(join(X_1434,one))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(one,converse(join(X_1434,one))))),bind(Y,$fot(join(one,composition(one,converse(X_1434)))))]]) ).
cnf(refute_0_1699,plain,
join(one,composition(one,converse(X_1434))) = composition(one,converse(join(X_1434,one))),
inference(resolve,[$cnf( $equal(composition(one,converse(join(X_1434,one))),join(one,composition(one,converse(X_1434)))) )],[refute_0_1697,refute_0_1698]) ).
cnf(refute_0_1700,plain,
( join(X_570,join(one,composition(one,converse(X_1434)))) != join(one,join(composition(one,converse(X_1434)),X_570))
| join(one,composition(one,converse(X_1434))) != composition(one,converse(join(X_1434,one)))
| join(X_570,composition(one,converse(join(X_1434,one)))) = join(one,join(composition(one,converse(X_1434)),X_570)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_570,join(one,composition(one,converse(X_1434)))),join(one,join(composition(one,converse(X_1434)),X_570))) ),[0,1],$fot(composition(one,converse(join(X_1434,one))))]]) ).
cnf(refute_0_1701,plain,
( join(X_570,join(one,composition(one,converse(X_1434)))) != join(one,join(composition(one,converse(X_1434)),X_570))
| join(X_570,composition(one,converse(join(X_1434,one)))) = join(one,join(composition(one,converse(X_1434)),X_570)) ),
inference(resolve,[$cnf( $equal(join(one,composition(one,converse(X_1434))),composition(one,converse(join(X_1434,one)))) )],[refute_0_1699,refute_0_1700]) ).
cnf(refute_0_1702,plain,
join(X_570,composition(one,converse(join(X_1434,one)))) = join(one,join(composition(one,converse(X_1434)),X_570)),
inference(resolve,[$cnf( $equal(join(X_570,join(one,composition(one,converse(X_1434)))),join(one,join(composition(one,converse(X_1434)),X_570))) )],[refute_0_1696,refute_0_1701]) ).
cnf(refute_0_1703,plain,
composition(one,converse(join(X_1434,one))) = converse(join(X_1434,one)),
inference(subst,[],[refute_0_458:[bind(X_36,$fot(converse(join(X_1434,one))))]]) ).
cnf(refute_0_1704,plain,
join(X_570,composition(one,converse(join(X_1434,one)))) = join(X_570,composition(one,converse(join(X_1434,one)))),
introduced(tautology,[refl,[$fot(join(X_570,composition(one,converse(join(X_1434,one)))))]]) ).
cnf(refute_0_1705,plain,
( composition(one,converse(join(X_1434,one))) != converse(join(X_1434,one))
| join(X_570,composition(one,converse(join(X_1434,one)))) != join(X_570,composition(one,converse(join(X_1434,one))))
| join(X_570,composition(one,converse(join(X_1434,one)))) = join(X_570,converse(join(X_1434,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_570,composition(one,converse(join(X_1434,one)))),join(X_570,composition(one,converse(join(X_1434,one))))) ),[1,1],$fot(converse(join(X_1434,one)))]]) ).
cnf(refute_0_1706,plain,
( composition(one,converse(join(X_1434,one))) != converse(join(X_1434,one))
| join(X_570,composition(one,converse(join(X_1434,one)))) = join(X_570,converse(join(X_1434,one))) ),
inference(resolve,[$cnf( $equal(join(X_570,composition(one,converse(join(X_1434,one)))),join(X_570,composition(one,converse(join(X_1434,one))))) )],[refute_0_1704,refute_0_1705]) ).
cnf(refute_0_1707,plain,
join(X_570,composition(one,converse(join(X_1434,one)))) = join(X_570,converse(join(X_1434,one))),
inference(resolve,[$cnf( $equal(composition(one,converse(join(X_1434,one))),converse(join(X_1434,one))) )],[refute_0_1703,refute_0_1706]) ).
cnf(refute_0_1708,plain,
( join(X_570,composition(one,converse(join(X_1434,one)))) != join(X_570,converse(join(X_1434,one)))
| join(X_570,composition(one,converse(join(X_1434,one)))) != join(one,join(composition(one,converse(X_1434)),X_570))
| join(X_570,converse(join(X_1434,one))) = join(one,join(composition(one,converse(X_1434)),X_570)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_570,composition(one,converse(join(X_1434,one)))),join(one,join(composition(one,converse(X_1434)),X_570))) ),[0],$fot(join(X_570,converse(join(X_1434,one))))]]) ).
cnf(refute_0_1709,plain,
( join(X_570,composition(one,converse(join(X_1434,one)))) != join(one,join(composition(one,converse(X_1434)),X_570))
| join(X_570,converse(join(X_1434,one))) = join(one,join(composition(one,converse(X_1434)),X_570)) ),
inference(resolve,[$cnf( $equal(join(X_570,composition(one,converse(join(X_1434,one)))),join(X_570,converse(join(X_1434,one)))) )],[refute_0_1707,refute_0_1708]) ).
cnf(refute_0_1710,plain,
composition(one,converse(X_1434)) = converse(X_1434),
inference(subst,[],[refute_0_458:[bind(X_36,$fot(converse(X_1434)))]]) ).
cnf(refute_0_1711,plain,
join(composition(one,converse(X_1434)),X_570) = join(composition(one,converse(X_1434)),X_570),
introduced(tautology,[refl,[$fot(join(composition(one,converse(X_1434)),X_570))]]) ).
cnf(refute_0_1712,plain,
( composition(one,converse(X_1434)) != converse(X_1434)
| join(composition(one,converse(X_1434)),X_570) != join(composition(one,converse(X_1434)),X_570)
| join(composition(one,converse(X_1434)),X_570) = join(converse(X_1434),X_570) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(one,converse(X_1434)),X_570),join(composition(one,converse(X_1434)),X_570)) ),[1,0],$fot(converse(X_1434))]]) ).
cnf(refute_0_1713,plain,
( composition(one,converse(X_1434)) != converse(X_1434)
| join(composition(one,converse(X_1434)),X_570) = join(converse(X_1434),X_570) ),
inference(resolve,[$cnf( $equal(join(composition(one,converse(X_1434)),X_570),join(composition(one,converse(X_1434)),X_570)) )],[refute_0_1711,refute_0_1712]) ).
cnf(refute_0_1714,plain,
join(composition(one,converse(X_1434)),X_570) = join(converse(X_1434),X_570),
inference(resolve,[$cnf( $equal(composition(one,converse(X_1434)),converse(X_1434)) )],[refute_0_1710,refute_0_1713]) ).
cnf(refute_0_1715,plain,
join(one,join(composition(one,converse(X_1434)),X_570)) = join(one,join(composition(one,converse(X_1434)),X_570)),
introduced(tautology,[refl,[$fot(join(one,join(composition(one,converse(X_1434)),X_570)))]]) ).
cnf(refute_0_1716,plain,
( join(composition(one,converse(X_1434)),X_570) != join(converse(X_1434),X_570)
| join(one,join(composition(one,converse(X_1434)),X_570)) != join(one,join(composition(one,converse(X_1434)),X_570))
| join(one,join(composition(one,converse(X_1434)),X_570)) = join(one,join(converse(X_1434),X_570)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(composition(one,converse(X_1434)),X_570)),join(one,join(composition(one,converse(X_1434)),X_570))) ),[1,1],$fot(join(converse(X_1434),X_570))]]) ).
cnf(refute_0_1717,plain,
( join(composition(one,converse(X_1434)),X_570) != join(converse(X_1434),X_570)
| join(one,join(composition(one,converse(X_1434)),X_570)) = join(one,join(converse(X_1434),X_570)) ),
inference(resolve,[$cnf( $equal(join(one,join(composition(one,converse(X_1434)),X_570)),join(one,join(composition(one,converse(X_1434)),X_570))) )],[refute_0_1715,refute_0_1716]) ).
cnf(refute_0_1718,plain,
join(one,join(composition(one,converse(X_1434)),X_570)) = join(one,join(converse(X_1434),X_570)),
inference(resolve,[$cnf( $equal(join(composition(one,converse(X_1434)),X_570),join(converse(X_1434),X_570)) )],[refute_0_1714,refute_0_1717]) ).
cnf(refute_0_1719,plain,
( join(X_570,converse(join(X_1434,one))) != join(one,join(composition(one,converse(X_1434)),X_570))
| join(one,join(composition(one,converse(X_1434)),X_570)) != join(one,join(converse(X_1434),X_570))
| join(X_570,converse(join(X_1434,one))) = join(one,join(converse(X_1434),X_570)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_570,converse(join(X_1434,one))),join(one,join(converse(X_1434),X_570))) ),[0],$fot(join(one,join(composition(one,converse(X_1434)),X_570)))]]) ).
cnf(refute_0_1720,plain,
( join(X_570,converse(join(X_1434,one))) != join(one,join(composition(one,converse(X_1434)),X_570))
| join(X_570,converse(join(X_1434,one))) = join(one,join(converse(X_1434),X_570)) ),
inference(resolve,[$cnf( $equal(join(one,join(composition(one,converse(X_1434)),X_570)),join(one,join(converse(X_1434),X_570))) )],[refute_0_1718,refute_0_1719]) ).
cnf(refute_0_1721,plain,
( join(X_570,composition(one,converse(join(X_1434,one)))) != join(one,join(composition(one,converse(X_1434)),X_570))
| join(X_570,converse(join(X_1434,one))) = join(one,join(converse(X_1434),X_570)) ),
inference(resolve,[$cnf( $equal(join(X_570,converse(join(X_1434,one))),join(one,join(composition(one,converse(X_1434)),X_570))) )],[refute_0_1709,refute_0_1720]) ).
cnf(refute_0_1722,plain,
join(X_570,converse(join(X_1434,one))) = join(one,join(converse(X_1434),X_570)),
inference(resolve,[$cnf( $equal(join(X_570,composition(one,converse(join(X_1434,one)))),join(one,join(composition(one,converse(X_1434)),X_570))) )],[refute_0_1702,refute_0_1721]) ).
cnf(refute_0_1723,plain,
join(converse(X_1434),converse(join(X_1434,one))) = join(one,join(converse(X_1434),converse(X_1434))),
inference(subst,[],[refute_0_1722:[bind(X_570,$fot(converse(X_1434)))]]) ).
cnf(refute_0_1724,plain,
( join(converse(X_1434),converse(join(X_1434,one))) != join(one,join(converse(X_1434),converse(X_1434)))
| join(one,join(converse(X_1434),converse(X_1434))) != converse(join(one,X_1434))
| join(converse(X_1434),converse(join(X_1434,one))) = converse(join(one,X_1434)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(X_1434),converse(join(X_1434,one))))),bind(Y,$fot(join(one,join(converse(X_1434),converse(X_1434))))),bind(Z,$fot(converse(join(one,X_1434))))]]) ).
cnf(refute_0_1725,plain,
( join(one,join(converse(X_1434),converse(X_1434))) != converse(join(one,X_1434))
| join(converse(X_1434),converse(join(X_1434,one))) = converse(join(one,X_1434)) ),
inference(resolve,[$cnf( $equal(join(converse(X_1434),converse(join(X_1434,one))),join(one,join(converse(X_1434),converse(X_1434)))) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
join(converse(X_1434),converse(join(X_1434,one))) = converse(join(one,X_1434)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_1434),converse(X_1434))),converse(join(one,X_1434))) )],[refute_0_1267,refute_0_1725]) ).
cnf(refute_0_1727,plain,
composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))) = composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))),
introduced(tautology,[refl,[$fot(composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))))]]) ).
cnf(refute_0_1728,plain,
( composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))) != composition(X_298,join(converse(X_1434),converse(join(X_1434,one))))
| join(converse(X_1434),converse(join(X_1434,one))) != converse(join(one,X_1434))
| composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))) = composition(X_298,converse(join(one,X_1434))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))),composition(X_298,join(converse(X_1434),converse(join(X_1434,one))))) ),[1,1],$fot(converse(join(one,X_1434)))]]) ).
cnf(refute_0_1729,plain,
( join(converse(X_1434),converse(join(X_1434,one))) != converse(join(one,X_1434))
| composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))) = composition(X_298,converse(join(one,X_1434))) ),
inference(resolve,[$cnf( $equal(composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))),composition(X_298,join(converse(X_1434),converse(join(X_1434,one))))) )],[refute_0_1727,refute_0_1728]) ).
cnf(refute_0_1730,plain,
composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))) = composition(X_298,converse(join(one,X_1434))),
inference(resolve,[$cnf( $equal(join(converse(X_1434),converse(join(X_1434,one))),converse(join(one,X_1434))) )],[refute_0_1726,refute_0_1729]) ).
cnf(refute_0_1731,plain,
converse(converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)))) = join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))))]]) ).
cnf(refute_0_1732,plain,
composition(join(X_147,converse(B)),converse(A)) = join(composition(X_147,converse(A)),composition(converse(B),converse(A))),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_147)),bind(B,$fot(converse(B))),bind(C,$fot(converse(A)))]]) ).
cnf(refute_0_1733,plain,
( converse(composition(A,B)) != composition(converse(B),converse(A))
| composition(converse(B),converse(A)) = converse(composition(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(A,B)))),bind(Y,$fot(composition(converse(B),converse(A))))]]) ).
cnf(refute_0_1734,plain,
composition(converse(B),converse(A)) = converse(composition(A,B)),
inference(resolve,[$cnf( $equal(converse(composition(A,B)),composition(converse(B),converse(A))) )],[converse_multiplicativity_10,refute_0_1733]) ).
cnf(refute_0_1735,plain,
( composition(converse(B),converse(A)) != converse(composition(A,B))
| composition(join(X_147,converse(B)),converse(A)) != join(composition(X_147,converse(A)),composition(converse(B),converse(A)))
| composition(join(X_147,converse(B)),converse(A)) = join(composition(X_147,converse(A)),converse(composition(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_147,converse(B)),converse(A)),join(composition(X_147,converse(A)),composition(converse(B),converse(A)))) ),[1,1],$fot(converse(composition(A,B)))]]) ).
cnf(refute_0_1736,plain,
( composition(join(X_147,converse(B)),converse(A)) != join(composition(X_147,converse(A)),composition(converse(B),converse(A)))
| composition(join(X_147,converse(B)),converse(A)) = join(composition(X_147,converse(A)),converse(composition(A,B))) ),
inference(resolve,[$cnf( $equal(composition(converse(B),converse(A)),converse(composition(A,B))) )],[refute_0_1734,refute_0_1735]) ).
cnf(refute_0_1737,plain,
composition(join(X_147,converse(B)),converse(A)) = join(composition(X_147,converse(A)),converse(composition(A,B))),
inference(resolve,[$cnf( $equal(composition(join(X_147,converse(B)),converse(A)),join(composition(X_147,converse(A)),composition(converse(B),converse(A)))) )],[refute_0_1732,refute_0_1736]) ).
cnf(refute_0_1738,plain,
converse(composition(X_34,join(converse(A),X_5))) = composition(converse(join(converse(A),X_5)),converse(X_34)),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(X_34)),bind(B,$fot(join(converse(A),X_5)))]]) ).
cnf(refute_0_1739,plain,
( converse(composition(X_34,join(converse(A),X_5))) != composition(converse(join(converse(A),X_5)),converse(X_34))
| converse(join(converse(A),X_5)) != join(A,converse(X_5))
| converse(composition(X_34,join(converse(A),X_5))) = composition(join(A,converse(X_5)),converse(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_34,join(converse(A),X_5))),composition(converse(join(converse(A),X_5)),converse(X_34))) ),[1,0],$fot(join(A,converse(X_5)))]]) ).
cnf(refute_0_1740,plain,
( converse(composition(X_34,join(converse(A),X_5))) != composition(converse(join(converse(A),X_5)),converse(X_34))
| converse(composition(X_34,join(converse(A),X_5))) = composition(join(A,converse(X_5)),converse(X_34)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),X_5)),join(A,converse(X_5))) )],[refute_0_93,refute_0_1739]) ).
cnf(refute_0_1741,plain,
converse(composition(X_34,join(converse(A),X_5))) = composition(join(A,converse(X_5)),converse(X_34)),
inference(resolve,[$cnf( $equal(converse(composition(X_34,join(converse(A),X_5))),composition(converse(join(converse(A),X_5)),converse(X_34))) )],[refute_0_1738,refute_0_1740]) ).
cnf(refute_0_1742,plain,
( converse(composition(X_34,join(converse(A),X_5))) != composition(join(A,converse(X_5)),converse(X_34))
| composition(join(A,converse(X_5)),converse(X_34)) = converse(composition(X_34,join(converse(A),X_5))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_34,join(converse(A),X_5))))),bind(Y,$fot(composition(join(A,converse(X_5)),converse(X_34))))]]) ).
cnf(refute_0_1743,plain,
composition(join(A,converse(X_5)),converse(X_34)) = converse(composition(X_34,join(converse(A),X_5))),
inference(resolve,[$cnf( $equal(converse(composition(X_34,join(converse(A),X_5))),composition(join(A,converse(X_5)),converse(X_34))) )],[refute_0_1741,refute_0_1742]) ).
cnf(refute_0_1744,plain,
composition(join(X_147,converse(B)),converse(A)) = converse(composition(A,join(converse(X_147),B))),
inference(subst,[],[refute_0_1743:[bind(A,$fot(X_147)),bind(X_34,$fot(A)),bind(X_5,$fot(B))]]) ).
cnf(refute_0_1745,plain,
( composition(join(X_147,converse(B)),converse(A)) != converse(composition(A,join(converse(X_147),B)))
| composition(join(X_147,converse(B)),converse(A)) != join(composition(X_147,converse(A)),converse(composition(A,B)))
| converse(composition(A,join(converse(X_147),B))) = join(composition(X_147,converse(A)),converse(composition(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_147,converse(B)),converse(A)),join(composition(X_147,converse(A)),converse(composition(A,B)))) ),[0],$fot(converse(composition(A,join(converse(X_147),B))))]]) ).
cnf(refute_0_1746,plain,
( composition(join(X_147,converse(B)),converse(A)) != join(composition(X_147,converse(A)),converse(composition(A,B)))
| converse(composition(A,join(converse(X_147),B))) = join(composition(X_147,converse(A)),converse(composition(A,B))) ),
inference(resolve,[$cnf( $equal(composition(join(X_147,converse(B)),converse(A)),converse(composition(A,join(converse(X_147),B)))) )],[refute_0_1744,refute_0_1745]) ).
cnf(refute_0_1747,plain,
converse(composition(A,join(converse(X_147),B))) = join(composition(X_147,converse(A)),converse(composition(A,B))),
inference(resolve,[$cnf( $equal(composition(join(X_147,converse(B)),converse(A)),join(composition(X_147,converse(A)),converse(composition(A,B)))) )],[refute_0_1737,refute_0_1746]) ).
cnf(refute_0_1748,plain,
converse(join(converse(composition(X_243,converse(X_242))),X_5)) = join(composition(X_243,converse(X_242)),converse(X_5)),
inference(subst,[],[refute_0_93:[bind(A,$fot(composition(X_243,converse(X_242))))]]) ).
cnf(refute_0_1749,plain,
converse(composition(X_243,converse(X_242))) = composition(X_242,converse(X_243)),
inference(subst,[],[refute_0_104:[bind(A,$fot(X_242)),bind(X_34,$fot(X_243))]]) ).
cnf(refute_0_1750,plain,
( converse(composition(X_243,converse(X_242))) != composition(X_242,converse(X_243))
| converse(join(converse(composition(X_243,converse(X_242))),X_5)) != join(composition(X_243,converse(X_242)),converse(X_5))
| converse(join(composition(X_242,converse(X_243)),X_5)) = join(composition(X_243,converse(X_242)),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(X_243,converse(X_242))),X_5)),join(composition(X_243,converse(X_242)),converse(X_5))) ),[0,0,0],$fot(composition(X_242,converse(X_243)))]]) ).
cnf(refute_0_1751,plain,
( converse(join(converse(composition(X_243,converse(X_242))),X_5)) != join(composition(X_243,converse(X_242)),converse(X_5))
| converse(join(composition(X_242,converse(X_243)),X_5)) = join(composition(X_243,converse(X_242)),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_243,converse(X_242))),composition(X_242,converse(X_243))) )],[refute_0_1749,refute_0_1750]) ).
cnf(refute_0_1752,plain,
converse(join(composition(X_242,converse(X_243)),X_5)) = join(composition(X_243,converse(X_242)),converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(X_243,converse(X_242))),X_5)),join(composition(X_243,converse(X_242)),converse(X_5))) )],[refute_0_1748,refute_0_1751]) ).
cnf(refute_0_1753,plain,
( converse(join(composition(X_242,converse(X_243)),X_5)) != join(composition(X_243,converse(X_242)),converse(X_5))
| join(composition(X_243,converse(X_242)),converse(X_5)) = converse(join(composition(X_242,converse(X_243)),X_5)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(composition(X_242,converse(X_243)),X_5)))),bind(Y,$fot(join(composition(X_243,converse(X_242)),converse(X_5))))]]) ).
cnf(refute_0_1754,plain,
join(composition(X_243,converse(X_242)),converse(X_5)) = converse(join(composition(X_242,converse(X_243)),X_5)),
inference(resolve,[$cnf( $equal(converse(join(composition(X_242,converse(X_243)),X_5)),join(composition(X_243,converse(X_242)),converse(X_5))) )],[refute_0_1752,refute_0_1753]) ).
cnf(refute_0_1755,plain,
join(composition(X_147,converse(A)),converse(composition(A,B))) = converse(join(composition(A,converse(X_147)),composition(A,B))),
inference(subst,[],[refute_0_1754:[bind(X_242,$fot(A)),bind(X_243,$fot(X_147)),bind(X_5,$fot(composition(A,B)))]]) ).
cnf(refute_0_1756,plain,
( converse(composition(A,join(converse(X_147),B))) != join(composition(X_147,converse(A)),converse(composition(A,B)))
| join(composition(X_147,converse(A)),converse(composition(A,B))) != converse(join(composition(A,converse(X_147)),composition(A,B)))
| converse(composition(A,join(converse(X_147),B))) = converse(join(composition(A,converse(X_147)),composition(A,B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(A,join(converse(X_147),B))),converse(join(composition(A,converse(X_147)),composition(A,B)))) ),[0],$fot(join(composition(X_147,converse(A)),converse(composition(A,B))))]]) ).
cnf(refute_0_1757,plain,
( converse(composition(A,join(converse(X_147),B))) != join(composition(X_147,converse(A)),converse(composition(A,B)))
| converse(composition(A,join(converse(X_147),B))) = converse(join(composition(A,converse(X_147)),composition(A,B))) ),
inference(resolve,[$cnf( $equal(join(composition(X_147,converse(A)),converse(composition(A,B))),converse(join(composition(A,converse(X_147)),composition(A,B)))) )],[refute_0_1755,refute_0_1756]) ).
cnf(refute_0_1758,plain,
converse(composition(A,join(converse(X_147),B))) = converse(join(composition(A,converse(X_147)),composition(A,B))),
inference(resolve,[$cnf( $equal(converse(composition(A,join(converse(X_147),B))),join(composition(X_147,converse(A)),converse(composition(A,B)))) )],[refute_0_1747,refute_0_1757]) ).
cnf(refute_0_1759,plain,
converse(composition(X_1395,join(converse(X_1397),X_1396))) = converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))),
inference(subst,[],[refute_0_1758:[bind(A,$fot(X_1395)),bind(B,$fot(X_1396)),bind(X_147,$fot(X_1397))]]) ).
cnf(refute_0_1760,plain,
( converse(composition(X_1395,join(converse(X_1397),X_1396))) != converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)))
| converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))) = converse(composition(X_1395,join(converse(X_1397),X_1396))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_1395,join(converse(X_1397),X_1396))))),bind(Y,$fot(converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)))))]]) ).
cnf(refute_0_1761,plain,
converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))) = converse(composition(X_1395,join(converse(X_1397),X_1396))),
inference(resolve,[$cnf( $equal(converse(composition(X_1395,join(converse(X_1397),X_1396))),converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)))) )],[refute_0_1759,refute_0_1760]) ).
cnf(refute_0_1762,plain,
( converse(converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)))) != join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))
| converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))) != converse(composition(X_1395,join(converse(X_1397),X_1396)))
| converse(converse(composition(X_1395,join(converse(X_1397),X_1396)))) = join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)))),join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))) ),[0,0],$fot(converse(composition(X_1395,join(converse(X_1397),X_1396))))]]) ).
cnf(refute_0_1763,plain,
( converse(converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)))) != join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))
| converse(converse(composition(X_1395,join(converse(X_1397),X_1396)))) = join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)) ),
inference(resolve,[$cnf( $equal(converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))),converse(composition(X_1395,join(converse(X_1397),X_1396)))) )],[refute_0_1761,refute_0_1762]) ).
cnf(refute_0_1764,plain,
converse(converse(composition(X_1395,join(converse(X_1397),X_1396)))) = join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)),
inference(resolve,[$cnf( $equal(converse(converse(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)))),join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))) )],[refute_0_1731,refute_0_1763]) ).
cnf(refute_0_1765,plain,
converse(converse(composition(X_1395,join(converse(X_1397),X_1396)))) = composition(X_1395,join(converse(X_1397),X_1396)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(X_1395,join(converse(X_1397),X_1396))))]]) ).
cnf(refute_0_1766,plain,
( converse(converse(composition(X_1395,join(converse(X_1397),X_1396)))) != composition(X_1395,join(converse(X_1397),X_1396))
| converse(converse(composition(X_1395,join(converse(X_1397),X_1396)))) != join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))
| composition(X_1395,join(converse(X_1397),X_1396)) = join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(X_1395,join(converse(X_1397),X_1396)))),join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))) ),[0],$fot(composition(X_1395,join(converse(X_1397),X_1396)))]]) ).
cnf(refute_0_1767,plain,
( converse(converse(composition(X_1395,join(converse(X_1397),X_1396)))) != join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))
| composition(X_1395,join(converse(X_1397),X_1396)) = join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_1395,join(converse(X_1397),X_1396)))),composition(X_1395,join(converse(X_1397),X_1396))) )],[refute_0_1765,refute_0_1766]) ).
cnf(refute_0_1768,plain,
composition(X_1395,join(converse(X_1397),X_1396)) = join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_1395,join(converse(X_1397),X_1396)))),join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))) )],[refute_0_1764,refute_0_1767]) ).
cnf(refute_0_1769,plain,
( composition(X_1395,join(converse(X_1397),X_1396)) != join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))
| join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)) = composition(X_1395,join(converse(X_1397),X_1396)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(X_1395,join(converse(X_1397),X_1396)))),bind(Y,$fot(join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))))]]) ).
cnf(refute_0_1770,plain,
join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396)) = composition(X_1395,join(converse(X_1397),X_1396)),
inference(resolve,[$cnf( $equal(composition(X_1395,join(converse(X_1397),X_1396)),join(composition(X_1395,converse(X_1397)),composition(X_1395,X_1396))) )],[refute_0_1768,refute_0_1769]) ).
cnf(refute_0_1771,plain,
join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))) = composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))),
inference(subst,[],[refute_0_1770:[bind(X_1395,$fot(X_298)),bind(X_1396,$fot(converse(join(X_1434,one)))),bind(X_1397,$fot(X_1434))]]) ).
cnf(refute_0_1772,plain,
( composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))) != composition(X_298,converse(join(one,X_1434)))
| join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))) != composition(X_298,join(converse(X_1434),converse(join(X_1434,one))))
| join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))) = composition(X_298,converse(join(one,X_1434))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))))),bind(Y,$fot(composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))))),bind(Z,$fot(composition(X_298,converse(join(one,X_1434)))))]]) ).
cnf(refute_0_1773,plain,
( composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))) != composition(X_298,converse(join(one,X_1434)))
| join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))) = composition(X_298,converse(join(one,X_1434))) ),
inference(resolve,[$cnf( $equal(join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))),composition(X_298,join(converse(X_1434),converse(join(X_1434,one))))) )],[refute_0_1771,refute_0_1772]) ).
cnf(refute_0_1774,plain,
join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))) = composition(X_298,converse(join(one,X_1434))),
inference(resolve,[$cnf( $equal(composition(X_298,join(converse(X_1434),converse(join(X_1434,one)))),composition(X_298,converse(join(one,X_1434)))) )],[refute_0_1730,refute_0_1773]) ).
cnf(refute_0_1775,plain,
( composition(X_298,converse(join(X_1434,one))) != join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one))))
| join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))) != composition(X_298,converse(join(one,X_1434)))
| composition(X_298,converse(join(X_1434,one))) = composition(X_298,converse(join(one,X_1434))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_298,converse(join(X_1434,one))),composition(X_298,converse(join(one,X_1434)))) ),[0],$fot(join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))))]]) ).
cnf(refute_0_1776,plain,
( composition(X_298,converse(join(X_1434,one))) != join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one))))
| composition(X_298,converse(join(X_1434,one))) = composition(X_298,converse(join(one,X_1434))) ),
inference(resolve,[$cnf( $equal(join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one)))),composition(X_298,converse(join(one,X_1434)))) )],[refute_0_1774,refute_0_1775]) ).
cnf(refute_0_1777,plain,
( join(X_298,composition(X_298,converse(X_1434))) != join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one))))
| composition(X_298,converse(join(X_1434,one))) = composition(X_298,converse(join(one,X_1434))) ),
inference(resolve,[$cnf( $equal(composition(X_298,converse(join(X_1434,one))),join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one))))) )],[refute_0_1252,refute_0_1776]) ).
cnf(refute_0_1778,plain,
composition(X_298,converse(join(X_1434,one))) = composition(X_298,converse(join(one,X_1434))),
inference(resolve,[$cnf( $equal(join(X_298,composition(X_298,converse(X_1434))),join(composition(X_298,converse(X_1434)),composition(X_298,converse(join(X_1434,one))))) )],[refute_0_1250,refute_0_1777]) ).
cnf(refute_0_1779,plain,
composition(X_1433,converse(join(converse(A),one))) = composition(X_1433,converse(join(one,converse(A)))),
inference(subst,[],[refute_0_1778:[bind(X_1434,$fot(converse(A))),bind(X_298,$fot(X_1433))]]) ).
cnf(refute_0_1780,plain,
( composition(X_1433,converse(join(converse(A),one))) != composition(X_1433,converse(join(one,converse(A))))
| composition(X_1433,converse(join(one,converse(A)))) != composition(X_1433,join(one,A))
| composition(X_1433,converse(join(converse(A),one))) = composition(X_1433,join(one,A)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(X_1433,converse(join(converse(A),one))))),bind(Y,$fot(composition(X_1433,converse(join(one,converse(A)))))),bind(Z,$fot(composition(X_1433,join(one,A))))]]) ).
cnf(refute_0_1781,plain,
( composition(X_1433,converse(join(one,converse(A)))) != composition(X_1433,join(one,A))
| composition(X_1433,converse(join(converse(A),one))) = composition(X_1433,join(one,A)) ),
inference(resolve,[$cnf( $equal(composition(X_1433,converse(join(converse(A),one))),composition(X_1433,converse(join(one,converse(A))))) )],[refute_0_1779,refute_0_1780]) ).
cnf(refute_0_1782,plain,
composition(X_1433,converse(join(converse(A),one))) = composition(X_1433,join(one,A)),
inference(resolve,[$cnf( $equal(composition(X_1433,converse(join(one,converse(A)))),composition(X_1433,join(one,A))) )],[refute_0_138,refute_0_1781]) ).
cnf(refute_0_1783,plain,
( composition(X_1433,converse(join(converse(A),one))) != composition(X_1433,join(one,A))
| composition(X_1433,converse(join(converse(A),one))) != join(X_1433,composition(X_1433,A))
| composition(X_1433,join(one,A)) = join(X_1433,composition(X_1433,A)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_1433,converse(join(converse(A),one))),join(X_1433,composition(X_1433,A))) ),[0],$fot(composition(X_1433,join(one,A)))]]) ).
cnf(refute_0_1784,plain,
( composition(X_1433,converse(join(converse(A),one))) != join(X_1433,composition(X_1433,A))
| composition(X_1433,join(one,A)) = join(X_1433,composition(X_1433,A)) ),
inference(resolve,[$cnf( $equal(composition(X_1433,converse(join(converse(A),one))),composition(X_1433,join(one,A))) )],[refute_0_1782,refute_0_1783]) ).
cnf(refute_0_1785,plain,
composition(X_1433,join(one,A)) = join(X_1433,composition(X_1433,A)),
inference(resolve,[$cnf( $equal(composition(X_1433,converse(join(converse(A),one))),join(X_1433,composition(X_1433,A))) )],[refute_0_120,refute_0_1784]) ).
cnf(refute_0_1786,plain,
composition(X_1433,join(one,composition(X_1622,X_1433))) = join(X_1433,composition(X_1433,composition(X_1622,X_1433))),
inference(subst,[],[refute_0_1785:[bind(A,$fot(composition(X_1622,X_1433)))]]) ).
cnf(refute_0_1787,plain,
composition(join(one,composition(X_1433,X_1622)),X_1433) = join(X_1433,composition(X_1433,composition(X_1622,X_1433))),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_1433)),bind(B,$fot(X_1622)),bind(X_151,$fot(X_1433))]]) ).
cnf(refute_0_1788,plain,
( composition(join(one,composition(X_1433,X_1622)),X_1433) != join(X_1433,composition(X_1433,composition(X_1622,X_1433)))
| join(X_1433,composition(X_1433,composition(X_1622,X_1433))) = composition(join(one,composition(X_1433,X_1622)),X_1433) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(one,composition(X_1433,X_1622)),X_1433))),bind(Y,$fot(join(X_1433,composition(X_1433,composition(X_1622,X_1433)))))]]) ).
cnf(refute_0_1789,plain,
join(X_1433,composition(X_1433,composition(X_1622,X_1433))) = composition(join(one,composition(X_1433,X_1622)),X_1433),
inference(resolve,[$cnf( $equal(composition(join(one,composition(X_1433,X_1622)),X_1433),join(X_1433,composition(X_1433,composition(X_1622,X_1433)))) )],[refute_0_1787,refute_0_1788]) ).
cnf(refute_0_1790,plain,
( composition(X_1433,join(one,composition(X_1622,X_1433))) != join(X_1433,composition(X_1433,composition(X_1622,X_1433)))
| join(X_1433,composition(X_1433,composition(X_1622,X_1433))) != composition(join(one,composition(X_1433,X_1622)),X_1433)
| composition(X_1433,join(one,composition(X_1622,X_1433))) = composition(join(one,composition(X_1433,X_1622)),X_1433) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_1433,join(one,composition(X_1622,X_1433))),composition(join(one,composition(X_1433,X_1622)),X_1433)) ),[0],$fot(join(X_1433,composition(X_1433,composition(X_1622,X_1433))))]]) ).
cnf(refute_0_1791,plain,
( composition(X_1433,join(one,composition(X_1622,X_1433))) != join(X_1433,composition(X_1433,composition(X_1622,X_1433)))
| composition(X_1433,join(one,composition(X_1622,X_1433))) = composition(join(one,composition(X_1433,X_1622)),X_1433) ),
inference(resolve,[$cnf( $equal(join(X_1433,composition(X_1433,composition(X_1622,X_1433))),composition(join(one,composition(X_1433,X_1622)),X_1433)) )],[refute_0_1789,refute_0_1790]) ).
cnf(refute_0_1792,plain,
composition(X_1433,join(one,composition(X_1622,X_1433))) = composition(join(one,composition(X_1433,X_1622)),X_1433),
inference(resolve,[$cnf( $equal(composition(X_1433,join(one,composition(X_1622,X_1433))),join(X_1433,composition(X_1433,composition(X_1622,X_1433)))) )],[refute_0_1786,refute_0_1791]) ).
cnf(refute_0_1793,plain,
( composition(X_1433,join(one,composition(X_1622,X_1433))) != composition(join(one,composition(X_1433,X_1622)),X_1433)
| composition(join(one,composition(X_1433,X_1622)),X_1433) = composition(X_1433,join(one,composition(X_1622,X_1433))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(X_1433,join(one,composition(X_1622,X_1433))))),bind(Y,$fot(composition(join(one,composition(X_1433,X_1622)),X_1433)))]]) ).
cnf(refute_0_1794,plain,
composition(join(one,composition(X_1433,X_1622)),X_1433) = composition(X_1433,join(one,composition(X_1622,X_1433))),
inference(resolve,[$cnf( $equal(composition(X_1433,join(one,composition(X_1622,X_1433))),composition(join(one,composition(X_1433,X_1622)),X_1433)) )],[refute_0_1792,refute_0_1793]) ).
cnf(refute_0_1795,plain,
composition(join(one,composition(sk1,converse(sk1))),sk1) = composition(sk1,join(one,composition(converse(sk1),sk1))),
inference(subst,[],[refute_0_1794:[bind(X_1433,$fot(sk1)),bind(X_1622,$fot(converse(sk1)))]]) ).
cnf(refute_0_1796,plain,
( composition(join(one,composition(sk1,converse(sk1))),sk1) != composition(sk1,join(one,composition(converse(sk1),sk1)))
| composition(sk1,join(one,composition(converse(sk1),sk1))) != composition(sk1,composition(converse(sk1),sk1))
| composition(join(one,composition(sk1,converse(sk1))),sk1) = composition(sk1,composition(converse(sk1),sk1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,composition(sk1,converse(sk1))),sk1),composition(sk1,composition(converse(sk1),sk1))) ),[0],$fot(composition(sk1,join(one,composition(converse(sk1),sk1))))]]) ).
cnf(refute_0_1797,plain,
( composition(sk1,join(one,composition(converse(sk1),sk1))) != composition(sk1,composition(converse(sk1),sk1))
| composition(join(one,composition(sk1,converse(sk1))),sk1) = composition(sk1,composition(converse(sk1),sk1)) ),
inference(resolve,[$cnf( $equal(composition(join(one,composition(sk1,converse(sk1))),sk1),composition(sk1,join(one,composition(converse(sk1),sk1)))) )],[refute_0_1795,refute_0_1796]) ).
cnf(refute_0_1798,plain,
composition(sk1,join(one,composition(converse(sk1),sk1))) != composition(sk1,composition(converse(sk1),sk1)),
inference(resolve,[$cnf( $equal(composition(join(one,composition(sk1,converse(sk1))),sk1),composition(sk1,composition(converse(sk1),sk1))) )],[refute_0_1797,refute_0_89]) ).
cnf(refute_0_1799,plain,
join(X_72,complement(X_71)) = join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(join(meet(X_71,X_72),complement(join(X_72,complement(X_71)))))),
inference(subst,[],[refute_0_391:[bind(X_41,$fot(join(X_72,complement(X_71)))),bind(X_42,$fot(meet(X_71,X_72)))]]) ).
cnf(refute_0_1800,plain,
X_71 = join(meet(X_71,X_72),complement(join(X_72,complement(X_71)))),
inference(subst,[],[refute_0_391:[bind(X_41,$fot(X_71)),bind(X_42,$fot(X_72))]]) ).
cnf(refute_0_1801,plain,
( X_71 != join(meet(X_71,X_72),complement(join(X_72,complement(X_71))))
| join(meet(X_71,X_72),complement(join(X_72,complement(X_71)))) = X_71 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_71)),bind(Y,$fot(join(meet(X_71,X_72),complement(join(X_72,complement(X_71))))))]]) ).
cnf(refute_0_1802,plain,
join(meet(X_71,X_72),complement(join(X_72,complement(X_71)))) = X_71,
inference(resolve,[$cnf( $equal(X_71,join(meet(X_71,X_72),complement(join(X_72,complement(X_71))))) )],[refute_0_1800,refute_0_1801]) ).
cnf(refute_0_1803,plain,
( join(X_72,complement(X_71)) != join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(join(meet(X_71,X_72),complement(join(X_72,complement(X_71))))))
| join(meet(X_71,X_72),complement(join(X_72,complement(X_71)))) != X_71
| join(X_72,complement(X_71)) = join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_72,complement(X_71)),join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(join(meet(X_71,X_72),complement(join(X_72,complement(X_71))))))) ),[1,1,0],$fot(X_71)]]) ).
cnf(refute_0_1804,plain,
( join(X_72,complement(X_71)) != join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(join(meet(X_71,X_72),complement(join(X_72,complement(X_71))))))
| join(X_72,complement(X_71)) = join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)) ),
inference(resolve,[$cnf( $equal(join(meet(X_71,X_72),complement(join(X_72,complement(X_71)))),X_71) )],[refute_0_1802,refute_0_1803]) ).
cnf(refute_0_1805,plain,
join(X_72,complement(X_71)) = join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)),
inference(resolve,[$cnf( $equal(join(X_72,complement(X_71)),join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(join(meet(X_71,X_72),complement(join(X_72,complement(X_71))))))) )],[refute_0_1799,refute_0_1804]) ).
cnf(refute_0_1806,plain,
meet(join(X_72,complement(X_71)),meet(X_71,X_72)) = meet(meet(X_71,X_72),join(X_72,complement(X_71))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(meet(X_71,X_72))),bind(X_16,$fot(join(X_72,complement(X_71))))]]) ).
cnf(refute_0_1807,plain,
join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))) = join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))),
introduced(tautology,[refl,[$fot(join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))))]]) ).
cnf(refute_0_1808,plain,
( join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))) != join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72)))
| meet(join(X_72,complement(X_71)),meet(X_71,X_72)) != meet(meet(X_71,X_72),join(X_72,complement(X_71)))
| join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))) = join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))),join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72)))) ),[1,1],$fot(meet(meet(X_71,X_72),join(X_72,complement(X_71))))]]) ).
cnf(refute_0_1809,plain,
( meet(join(X_72,complement(X_71)),meet(X_71,X_72)) != meet(meet(X_71,X_72),join(X_72,complement(X_71)))
| join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))) = join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))),join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72)))) )],[refute_0_1807,refute_0_1808]) ).
cnf(refute_0_1810,plain,
join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))) = join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71)))),
inference(resolve,[$cnf( $equal(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),meet(meet(X_71,X_72),join(X_72,complement(X_71)))) )],[refute_0_1806,refute_0_1809]) ).
cnf(refute_0_1811,plain,
join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)) = join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(X_71))),bind(B,$fot(meet(join(X_72,complement(X_71)),meet(X_71,X_72))))]]) ).
cnf(refute_0_1812,plain,
( join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))) != join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71))))
| join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)) != join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72)))
| join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)) = join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)))),bind(Y,$fot(join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))))),bind(Z,$fot(join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71))))))]]) ).
cnf(refute_0_1813,plain,
( join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))) != join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71))))
| join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)) = join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)),join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72)))) )],[refute_0_1811,refute_0_1812]) ).
cnf(refute_0_1814,plain,
join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)) = join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71)))),
inference(resolve,[$cnf( $equal(join(complement(X_71),meet(join(X_72,complement(X_71)),meet(X_71,X_72))),join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71))))) )],[refute_0_1810,refute_0_1813]) ).
cnf(refute_0_1815,plain,
( join(X_72,complement(X_71)) != join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71))
| join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)) != join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71))))
| join(X_72,complement(X_71)) = join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_72,complement(X_71)),join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71))))) ),[0],$fot(join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)))]]) ).
cnf(refute_0_1816,plain,
( join(X_72,complement(X_71)) != join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71))
| join(X_72,complement(X_71)) = join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71)),join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71))))) )],[refute_0_1814,refute_0_1815]) ).
cnf(refute_0_1817,plain,
join(X_72,complement(X_71)) = join(complement(X_71),meet(meet(X_71,X_72),join(X_72,complement(X_71)))),
inference(resolve,[$cnf( $equal(join(X_72,complement(X_71)),join(meet(join(X_72,complement(X_71)),meet(X_71,X_72)),complement(X_71))) )],[refute_0_1805,refute_0_1816]) ).
cnf(refute_0_1818,plain,
join(meet(X_52,X_51),complement(complement(X_52))) = join(complement(complement(X_52)),meet(meet(complement(X_52),meet(X_52,X_51)),join(meet(X_52,X_51),complement(complement(X_52))))),
inference(subst,[],[refute_0_1817:[bind(X_71,$fot(complement(X_52))),bind(X_72,$fot(meet(X_52,X_51)))]]) ).
cnf(refute_0_1819,plain,
meet(X_361,complement(meet(top,X_363))) = complement(join(complement(X_361),meet(top,X_363))),
inference(subst,[],[refute_0_364:[bind(A,$fot(X_361)),bind(X_15,$fot(top)),bind(X_16,$fot(X_363))]]) ).
cnf(refute_0_1820,plain,
meet(top,X_363) = X_363,
inference(subst,[],[refute_0_940:[bind(X_69,$fot(X_363))]]) ).
cnf(refute_0_1821,plain,
( meet(X_361,complement(meet(top,X_363))) != complement(join(complement(X_361),meet(top,X_363)))
| meet(top,X_363) != X_363
| meet(X_361,complement(meet(top,X_363))) = complement(join(complement(X_361),X_363)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(meet(top,X_363))),complement(join(complement(X_361),meet(top,X_363)))) ),[1,0,1],$fot(X_363)]]) ).
cnf(refute_0_1822,plain,
( meet(X_361,complement(meet(top,X_363))) != complement(join(complement(X_361),meet(top,X_363)))
| meet(X_361,complement(meet(top,X_363))) = complement(join(complement(X_361),X_363)) ),
inference(resolve,[$cnf( $equal(meet(top,X_363),X_363) )],[refute_0_1820,refute_0_1821]) ).
cnf(refute_0_1823,plain,
meet(X_361,complement(meet(top,X_363))) = complement(join(complement(X_361),X_363)),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(top,X_363))),complement(join(complement(X_361),meet(top,X_363)))) )],[refute_0_1819,refute_0_1822]) ).
cnf(refute_0_1824,plain,
complement(meet(top,X_363)) = complement(meet(top,X_363)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_363)))]]) ).
cnf(refute_0_1825,plain,
( complement(meet(top,X_363)) != complement(meet(top,X_363))
| meet(top,X_363) != X_363
| complement(meet(top,X_363)) = complement(X_363) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_363)),complement(meet(top,X_363))) ),[1,0],$fot(X_363)]]) ).
cnf(refute_0_1826,plain,
( meet(top,X_363) != X_363
| complement(meet(top,X_363)) = complement(X_363) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_363)),complement(meet(top,X_363))) )],[refute_0_1824,refute_0_1825]) ).
cnf(refute_0_1827,plain,
complement(meet(top,X_363)) = complement(X_363),
inference(resolve,[$cnf( $equal(meet(top,X_363),X_363) )],[refute_0_1820,refute_0_1826]) ).
cnf(refute_0_1828,plain,
meet(X_361,complement(meet(top,X_363))) = meet(X_361,complement(meet(top,X_363))),
introduced(tautology,[refl,[$fot(meet(X_361,complement(meet(top,X_363))))]]) ).
cnf(refute_0_1829,plain,
( complement(meet(top,X_363)) != complement(X_363)
| meet(X_361,complement(meet(top,X_363))) != meet(X_361,complement(meet(top,X_363)))
| meet(X_361,complement(meet(top,X_363))) = meet(X_361,complement(X_363)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(meet(top,X_363))),meet(X_361,complement(meet(top,X_363)))) ),[1,1],$fot(complement(X_363))]]) ).
cnf(refute_0_1830,plain,
( complement(meet(top,X_363)) != complement(X_363)
| meet(X_361,complement(meet(top,X_363))) = meet(X_361,complement(X_363)) ),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(top,X_363))),meet(X_361,complement(meet(top,X_363)))) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
meet(X_361,complement(meet(top,X_363))) = meet(X_361,complement(X_363)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_363)),complement(X_363)) )],[refute_0_1827,refute_0_1830]) ).
cnf(refute_0_1832,plain,
( meet(X_361,complement(meet(top,X_363))) != complement(join(complement(X_361),X_363))
| meet(X_361,complement(meet(top,X_363))) != meet(X_361,complement(X_363))
| meet(X_361,complement(X_363)) = complement(join(complement(X_361),X_363)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(meet(top,X_363))),complement(join(complement(X_361),X_363))) ),[0],$fot(meet(X_361,complement(X_363)))]]) ).
cnf(refute_0_1833,plain,
( meet(X_361,complement(meet(top,X_363))) != complement(join(complement(X_361),X_363))
| meet(X_361,complement(X_363)) = complement(join(complement(X_361),X_363)) ),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(top,X_363))),meet(X_361,complement(X_363))) )],[refute_0_1831,refute_0_1832]) ).
cnf(refute_0_1834,plain,
meet(X_361,complement(X_363)) = complement(join(complement(X_361),X_363)),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(top,X_363))),complement(join(complement(X_361),X_363))) )],[refute_0_1823,refute_0_1833]) ).
cnf(refute_0_1835,plain,
meet(X_614,complement(join(complement(complement(X_614)),X_121))) = complement(join(complement(X_614),join(complement(complement(X_614)),X_121))),
inference(subst,[],[refute_0_1834:[bind(X_361,$fot(X_614)),bind(X_363,$fot(join(complement(complement(X_614)),X_121)))]]) ).
cnf(refute_0_1836,plain,
join(complement(X_614),join(complement(complement(X_614)),X_121)) = top,
inference(subst,[],[refute_0_1175:[bind(X_119,$fot(complement(X_614)))]]) ).
cnf(refute_0_1837,plain,
( join(complement(X_614),join(complement(complement(X_614)),X_121)) != top
| meet(X_614,complement(join(complement(complement(X_614)),X_121))) != complement(join(complement(X_614),join(complement(complement(X_614)),X_121)))
| meet(X_614,complement(join(complement(complement(X_614)),X_121))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_614,complement(join(complement(complement(X_614)),X_121))),complement(join(complement(X_614),join(complement(complement(X_614)),X_121)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1838,plain,
( meet(X_614,complement(join(complement(complement(X_614)),X_121))) != complement(join(complement(X_614),join(complement(complement(X_614)),X_121)))
| meet(X_614,complement(join(complement(complement(X_614)),X_121))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_614),join(complement(complement(X_614)),X_121)),top) )],[refute_0_1836,refute_0_1837]) ).
cnf(refute_0_1839,plain,
meet(X_614,complement(join(complement(complement(X_614)),X_121))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_614,complement(join(complement(complement(X_614)),X_121))),complement(join(complement(X_614),join(complement(complement(X_614)),X_121)))) )],[refute_0_1835,refute_0_1838]) ).
cnf(refute_0_1840,plain,
meet(complement(X_25),complement(X_615)) = complement(join(complement(complement(X_25)),X_615)),
inference(subst,[],[refute_0_1834:[bind(X_361,$fot(complement(X_25))),bind(X_363,$fot(X_615))]]) ).
cnf(refute_0_1841,plain,
( complement(complement(X_25)) != X_25
| meet(complement(X_25),complement(X_615)) != complement(join(complement(complement(X_25)),X_615))
| meet(complement(X_25),complement(X_615)) = complement(join(X_25,X_615)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_25),complement(X_615)),complement(join(complement(complement(X_25)),X_615))) ),[1,0,0],$fot(X_25)]]) ).
cnf(refute_0_1842,plain,
( meet(complement(X_25),complement(X_615)) != complement(join(complement(complement(X_25)),X_615))
| meet(complement(X_25),complement(X_615)) = complement(join(X_25,X_615)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_1841]) ).
cnf(refute_0_1843,plain,
meet(complement(X_25),complement(X_615)) = complement(join(X_25,X_615)),
inference(resolve,[$cnf( $equal(meet(complement(X_25),complement(X_615)),complement(join(complement(complement(X_25)),X_615))) )],[refute_0_1840,refute_0_1842]) ).
cnf(refute_0_1844,plain,
meet(complement(X_614),complement(X_121)) = complement(join(X_614,X_121)),
inference(subst,[],[refute_0_1843:[bind(X_25,$fot(X_614)),bind(X_615,$fot(X_121))]]) ).
cnf(refute_0_1845,plain,
( meet(X_361,complement(X_363)) != complement(join(complement(X_361),X_363))
| complement(join(complement(X_361),X_363)) = meet(X_361,complement(X_363)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_361,complement(X_363)))),bind(Y,$fot(complement(join(complement(X_361),X_363))))]]) ).
cnf(refute_0_1846,plain,
complement(join(complement(X_361),X_363)) = meet(X_361,complement(X_363)),
inference(resolve,[$cnf( $equal(meet(X_361,complement(X_363)),complement(join(complement(X_361),X_363))) )],[refute_0_1834,refute_0_1845]) ).
cnf(refute_0_1847,plain,
complement(join(complement(complement(X_614)),X_121)) = meet(complement(X_614),complement(X_121)),
inference(subst,[],[refute_0_1846:[bind(X_361,$fot(complement(X_614))),bind(X_363,$fot(X_121))]]) ).
cnf(refute_0_1848,plain,
( complement(join(complement(complement(X_614)),X_121)) != meet(complement(X_614),complement(X_121))
| meet(complement(X_614),complement(X_121)) != complement(join(X_614,X_121))
| complement(join(complement(complement(X_614)),X_121)) = complement(join(X_614,X_121)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(join(complement(complement(X_614)),X_121)))),bind(Y,$fot(meet(complement(X_614),complement(X_121)))),bind(Z,$fot(complement(join(X_614,X_121))))]]) ).
cnf(refute_0_1849,plain,
( meet(complement(X_614),complement(X_121)) != complement(join(X_614,X_121))
| complement(join(complement(complement(X_614)),X_121)) = complement(join(X_614,X_121)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_614)),X_121)),meet(complement(X_614),complement(X_121))) )],[refute_0_1847,refute_0_1848]) ).
cnf(refute_0_1850,plain,
complement(join(complement(complement(X_614)),X_121)) = complement(join(X_614,X_121)),
inference(resolve,[$cnf( $equal(meet(complement(X_614),complement(X_121)),complement(join(X_614,X_121))) )],[refute_0_1844,refute_0_1849]) ).
cnf(refute_0_1851,plain,
meet(X_614,complement(join(complement(complement(X_614)),X_121))) = meet(X_614,complement(join(complement(complement(X_614)),X_121))),
introduced(tautology,[refl,[$fot(meet(X_614,complement(join(complement(complement(X_614)),X_121))))]]) ).
cnf(refute_0_1852,plain,
( complement(join(complement(complement(X_614)),X_121)) != complement(join(X_614,X_121))
| meet(X_614,complement(join(complement(complement(X_614)),X_121))) != meet(X_614,complement(join(complement(complement(X_614)),X_121)))
| meet(X_614,complement(join(complement(complement(X_614)),X_121))) = meet(X_614,complement(join(X_614,X_121))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_614,complement(join(complement(complement(X_614)),X_121))),meet(X_614,complement(join(complement(complement(X_614)),X_121)))) ),[1,1],$fot(complement(join(X_614,X_121)))]]) ).
cnf(refute_0_1853,plain,
( complement(join(complement(complement(X_614)),X_121)) != complement(join(X_614,X_121))
| meet(X_614,complement(join(complement(complement(X_614)),X_121))) = meet(X_614,complement(join(X_614,X_121))) ),
inference(resolve,[$cnf( $equal(meet(X_614,complement(join(complement(complement(X_614)),X_121))),meet(X_614,complement(join(complement(complement(X_614)),X_121)))) )],[refute_0_1851,refute_0_1852]) ).
cnf(refute_0_1854,plain,
meet(X_614,complement(join(complement(complement(X_614)),X_121))) = meet(X_614,complement(join(X_614,X_121))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_614)),X_121)),complement(join(X_614,X_121))) )],[refute_0_1850,refute_0_1853]) ).
cnf(refute_0_1855,plain,
( meet(X_614,complement(join(complement(complement(X_614)),X_121))) != complement(top)
| meet(X_614,complement(join(complement(complement(X_614)),X_121))) != meet(X_614,complement(join(X_614,X_121)))
| meet(X_614,complement(join(X_614,X_121))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_614,complement(join(complement(complement(X_614)),X_121))),complement(top)) ),[0],$fot(meet(X_614,complement(join(X_614,X_121))))]]) ).
cnf(refute_0_1856,plain,
( meet(X_614,complement(join(complement(complement(X_614)),X_121))) != complement(top)
| meet(X_614,complement(join(X_614,X_121))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_614,complement(join(complement(complement(X_614)),X_121))),meet(X_614,complement(join(X_614,X_121)))) )],[refute_0_1854,refute_0_1855]) ).
cnf(refute_0_1857,plain,
( complement(top) != zero
| meet(X_614,complement(join(X_614,X_121))) != complement(top)
| meet(X_614,complement(join(X_614,X_121))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_614,complement(join(X_614,X_121))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1858,plain,
( meet(X_614,complement(join(X_614,X_121))) != complement(top)
| meet(X_614,complement(join(X_614,X_121))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_1857]) ).
cnf(refute_0_1859,plain,
( meet(X_614,complement(join(complement(complement(X_614)),X_121))) != complement(top)
| meet(X_614,complement(join(X_614,X_121))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_614,complement(join(X_614,X_121))),complement(top)) )],[refute_0_1856,refute_0_1858]) ).
cnf(refute_0_1860,plain,
meet(X_614,complement(join(X_614,X_121))) = zero,
inference(resolve,[$cnf( $equal(meet(X_614,complement(join(complement(complement(X_614)),X_121))),complement(top)) )],[refute_0_1839,refute_0_1859]) ).
cnf(refute_0_1861,plain,
meet(meet(X_52,X_51),complement(join(meet(X_52,X_51),meet(complement(X_51),X_52)))) = zero,
inference(subst,[],[refute_0_1860:[bind(X_121,$fot(meet(complement(X_51),X_52))),bind(X_614,$fot(meet(X_52,X_51)))]]) ).
cnf(refute_0_1862,plain,
( X_52 != join(meet(X_52,X_51),meet(complement(X_51),X_52))
| join(meet(X_52,X_51),meet(complement(X_51),X_52)) = X_52 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_52)),bind(Y,$fot(join(meet(X_52,X_51),meet(complement(X_51),X_52))))]]) ).
cnf(refute_0_1863,plain,
join(meet(X_52,X_51),meet(complement(X_51),X_52)) = X_52,
inference(resolve,[$cnf( $equal(X_52,join(meet(X_52,X_51),meet(complement(X_51),X_52))) )],[refute_0_198,refute_0_1862]) ).
cnf(refute_0_1864,plain,
( join(meet(X_52,X_51),meet(complement(X_51),X_52)) != X_52
| meet(meet(X_52,X_51),complement(join(meet(X_52,X_51),meet(complement(X_51),X_52)))) != zero
| meet(meet(X_52,X_51),complement(X_52)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_52,X_51),complement(join(meet(X_52,X_51),meet(complement(X_51),X_52)))),zero) ),[0,1,0],$fot(X_52)]]) ).
cnf(refute_0_1865,plain,
( meet(meet(X_52,X_51),complement(join(meet(X_52,X_51),meet(complement(X_51),X_52)))) != zero
| meet(meet(X_52,X_51),complement(X_52)) = zero ),
inference(resolve,[$cnf( $equal(join(meet(X_52,X_51),meet(complement(X_51),X_52)),X_52) )],[refute_0_1863,refute_0_1864]) ).
cnf(refute_0_1866,plain,
meet(meet(X_52,X_51),complement(X_52)) = zero,
inference(resolve,[$cnf( $equal(meet(meet(X_52,X_51),complement(join(meet(X_52,X_51),meet(complement(X_51),X_52)))),zero) )],[refute_0_1861,refute_0_1865]) ).
cnf(refute_0_1867,plain,
meet(meet(X_52,X_51),complement(X_52)) = meet(complement(X_52),meet(X_52,X_51)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(complement(X_52))),bind(X_16,$fot(meet(X_52,X_51)))]]) ).
cnf(refute_0_1868,plain,
( meet(meet(X_52,X_51),complement(X_52)) != meet(complement(X_52),meet(X_52,X_51))
| meet(meet(X_52,X_51),complement(X_52)) != zero
| meet(complement(X_52),meet(X_52,X_51)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_52,X_51),complement(X_52)),zero) ),[0],$fot(meet(complement(X_52),meet(X_52,X_51)))]]) ).
cnf(refute_0_1869,plain,
( meet(meet(X_52,X_51),complement(X_52)) != zero
| meet(complement(X_52),meet(X_52,X_51)) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(X_52,X_51),complement(X_52)),meet(complement(X_52),meet(X_52,X_51))) )],[refute_0_1867,refute_0_1868]) ).
cnf(refute_0_1870,plain,
meet(complement(X_52),meet(X_52,X_51)) = zero,
inference(resolve,[$cnf( $equal(meet(meet(X_52,X_51),complement(X_52)),zero) )],[refute_0_1866,refute_0_1869]) ).
cnf(refute_0_1871,plain,
( join(meet(X_52,X_51),complement(complement(X_52))) != join(complement(complement(X_52)),meet(meet(complement(X_52),meet(X_52,X_51)),join(meet(X_52,X_51),complement(complement(X_52)))))
| meet(complement(X_52),meet(X_52,X_51)) != zero
| join(meet(X_52,X_51),complement(complement(X_52))) = join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_52,X_51),complement(complement(X_52))),join(complement(complement(X_52)),meet(meet(complement(X_52),meet(X_52,X_51)),join(meet(X_52,X_51),complement(complement(X_52)))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_1872,plain,
( join(meet(X_52,X_51),complement(complement(X_52))) != join(complement(complement(X_52)),meet(meet(complement(X_52),meet(X_52,X_51)),join(meet(X_52,X_51),complement(complement(X_52)))))
| join(meet(X_52,X_51),complement(complement(X_52))) = join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_52),meet(X_52,X_51)),zero) )],[refute_0_1870,refute_0_1871]) ).
cnf(refute_0_1873,plain,
join(meet(X_52,X_51),complement(complement(X_52))) = join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))),
inference(resolve,[$cnf( $equal(join(meet(X_52,X_51),complement(complement(X_52))),join(complement(complement(X_52)),meet(meet(complement(X_52),meet(X_52,X_51)),join(meet(X_52,X_51),complement(complement(X_52)))))) )],[refute_0_1818,refute_0_1872]) ).
cnf(refute_0_1874,plain,
complement(complement(X_52)) = X_52,
inference(subst,[],[refute_0_931:[bind(X_25,$fot(X_52))]]) ).
cnf(refute_0_1875,plain,
join(complement(complement(X_52)),meet(X_52,X_51)) = join(complement(complement(X_52)),meet(X_52,X_51)),
introduced(tautology,[refl,[$fot(join(complement(complement(X_52)),meet(X_52,X_51)))]]) ).
cnf(refute_0_1876,plain,
( complement(complement(X_52)) != X_52
| join(complement(complement(X_52)),meet(X_52,X_51)) != join(complement(complement(X_52)),meet(X_52,X_51))
| join(complement(complement(X_52)),meet(X_52,X_51)) = join(X_52,meet(X_52,X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_52)),meet(X_52,X_51)),join(complement(complement(X_52)),meet(X_52,X_51))) ),[1,0],$fot(X_52)]]) ).
cnf(refute_0_1877,plain,
( complement(complement(X_52)) != X_52
| join(complement(complement(X_52)),meet(X_52,X_51)) = join(X_52,meet(X_52,X_51)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_52)),meet(X_52,X_51)),join(complement(complement(X_52)),meet(X_52,X_51))) )],[refute_0_1875,refute_0_1876]) ).
cnf(refute_0_1878,plain,
join(complement(complement(X_52)),meet(X_52,X_51)) = join(X_52,meet(X_52,X_51)),
inference(resolve,[$cnf( $equal(complement(complement(X_52)),X_52) )],[refute_0_1874,refute_0_1877]) ).
cnf(refute_0_1879,plain,
join(meet(X_52,X_51),complement(complement(X_52))) = join(complement(complement(X_52)),meet(X_52,X_51)),
inference(subst,[],[refute_0_140:[bind(X_119,$fot(complement(complement(X_52)))),bind(X_120,$fot(meet(X_52,X_51)))]]) ).
cnf(refute_0_1880,plain,
( join(complement(complement(X_52)),meet(X_52,X_51)) != join(X_52,meet(X_52,X_51))
| join(meet(X_52,X_51),complement(complement(X_52))) != join(complement(complement(X_52)),meet(X_52,X_51))
| join(meet(X_52,X_51),complement(complement(X_52))) = join(X_52,meet(X_52,X_51)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_52,X_51),complement(complement(X_52))))),bind(Y,$fot(join(complement(complement(X_52)),meet(X_52,X_51)))),bind(Z,$fot(join(X_52,meet(X_52,X_51))))]]) ).
cnf(refute_0_1881,plain,
( join(complement(complement(X_52)),meet(X_52,X_51)) != join(X_52,meet(X_52,X_51))
| join(meet(X_52,X_51),complement(complement(X_52))) = join(X_52,meet(X_52,X_51)) ),
inference(resolve,[$cnf( $equal(join(meet(X_52,X_51),complement(complement(X_52))),join(complement(complement(X_52)),meet(X_52,X_51))) )],[refute_0_1879,refute_0_1880]) ).
cnf(refute_0_1882,plain,
join(meet(X_52,X_51),complement(complement(X_52))) = join(X_52,meet(X_52,X_51)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_52)),meet(X_52,X_51)),join(X_52,meet(X_52,X_51))) )],[refute_0_1878,refute_0_1881]) ).
cnf(refute_0_1883,plain,
( join(meet(X_52,X_51),complement(complement(X_52))) != join(X_52,meet(X_52,X_51))
| join(meet(X_52,X_51),complement(complement(X_52))) != join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))
| join(X_52,meet(X_52,X_51)) = join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_52,X_51),complement(complement(X_52))),join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))) ),[0],$fot(join(X_52,meet(X_52,X_51)))]]) ).
cnf(refute_0_1884,plain,
( join(meet(X_52,X_51),complement(complement(X_52))) != join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))
| join(X_52,meet(X_52,X_51)) = join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_52,X_51),complement(complement(X_52))),join(X_52,meet(X_52,X_51))) )],[refute_0_1882,refute_0_1883]) ).
cnf(refute_0_1885,plain,
join(X_52,zero) = X_52,
inference(subst,[],[refute_0_1072:[bind(X_41,$fot(X_52))]]) ).
cnf(refute_0_1886,plain,
meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))) = zero,
inference(subst,[],[refute_0_1127:[bind(X_63,$fot(join(meet(X_52,X_51),complement(complement(X_52)))))]]) ).
cnf(refute_0_1887,plain,
join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))),
introduced(tautology,[refl,[$fot(join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))))]]) ).
cnf(refute_0_1888,plain,
( join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) != join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))
| meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))) != zero
| join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = join(X_52,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))),join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1889,plain,
( meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))) != zero
| join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = join(X_52,zero) ),
inference(resolve,[$cnf( $equal(join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))),join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))) )],[refute_0_1887,refute_0_1888]) ).
cnf(refute_0_1890,plain,
join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = join(X_52,zero),
inference(resolve,[$cnf( $equal(meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))),zero) )],[refute_0_1886,refute_0_1889]) ).
cnf(refute_0_1891,plain,
join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))))]]) ).
cnf(refute_0_1892,plain,
( complement(complement(X_52)) != X_52
| join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) != join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))
| join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))),join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))) ),[1,0],$fot(X_52)]]) ).
cnf(refute_0_1893,plain,
( complement(complement(X_52)) != X_52
| join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))),join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))) )],[refute_0_1891,refute_0_1892]) ).
cnf(refute_0_1894,plain,
join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))),
inference(resolve,[$cnf( $equal(complement(complement(X_52)),X_52) )],[refute_0_1874,refute_0_1893]) ).
cnf(refute_0_1895,plain,
( join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) != join(X_52,zero)
| join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) != join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))
| join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = join(X_52,zero) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))))),bind(Y,$fot(join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))))),bind(Z,$fot(join(X_52,zero)))]]) ).
cnf(refute_0_1896,plain,
( join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) != join(X_52,zero)
| join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = join(X_52,zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))),join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))) )],[refute_0_1894,refute_0_1895]) ).
cnf(refute_0_1897,plain,
join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = join(X_52,zero),
inference(resolve,[$cnf( $equal(join(X_52,meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))),join(X_52,zero)) )],[refute_0_1890,refute_0_1896]) ).
cnf(refute_0_1898,plain,
( join(X_52,zero) != X_52
| join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) != join(X_52,zero)
| join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = X_52 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))))),bind(Y,$fot(join(X_52,zero))),bind(Z,$fot(X_52))]]) ).
cnf(refute_0_1899,plain,
( join(X_52,zero) != X_52
| join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = X_52 ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))),join(X_52,zero)) )],[refute_0_1897,refute_0_1898]) ).
cnf(refute_0_1900,plain,
join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) = X_52,
inference(resolve,[$cnf( $equal(join(X_52,zero),X_52) )],[refute_0_1885,refute_0_1899]) ).
cnf(refute_0_1901,plain,
( join(X_52,meet(X_52,X_51)) != join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))
| join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))) != X_52
| join(X_52,meet(X_52,X_51)) = X_52 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_52,meet(X_52,X_51)),X_52) ),[0],$fot(join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))))]]) ).
cnf(refute_0_1902,plain,
( join(X_52,meet(X_52,X_51)) != join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))
| join(X_52,meet(X_52,X_51)) = X_52 ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52))))),X_52) )],[refute_0_1900,refute_0_1901]) ).
cnf(refute_0_1903,plain,
( join(meet(X_52,X_51),complement(complement(X_52))) != join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))
| join(X_52,meet(X_52,X_51)) = X_52 ),
inference(resolve,[$cnf( $equal(join(X_52,meet(X_52,X_51)),join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))) )],[refute_0_1884,refute_0_1902]) ).
cnf(refute_0_1904,plain,
join(X_52,meet(X_52,X_51)) = X_52,
inference(resolve,[$cnf( $equal(join(meet(X_52,X_51),complement(complement(X_52))),join(complement(complement(X_52)),meet(zero,join(meet(X_52,X_51),complement(complement(X_52)))))) )],[refute_0_1873,refute_0_1903]) ).
cnf(refute_0_1905,plain,
join(X_642,meet(X_642,meet(X_42,X_642))) = X_642,
inference(subst,[],[refute_0_1904:[bind(X_51,$fot(meet(X_42,X_642))),bind(X_52,$fot(X_642))]]) ).
cnf(refute_0_1906,plain,
meet(X_42,X_41) = meet(meet(X_42,X_41),join(meet(X_42,X_41),complement(join(complement(X_41),X_42)))),
inference(subst,[],[refute_0_1214:[bind(X_124,$fot(complement(join(complement(X_41),X_42)))),bind(X_41,$fot(meet(X_42,X_41)))]]) ).
cnf(refute_0_1907,plain,
( X_41 != join(meet(X_42,X_41),complement(join(complement(X_41),X_42)))
| join(meet(X_42,X_41),complement(join(complement(X_41),X_42))) = X_41 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_41)),bind(Y,$fot(join(meet(X_42,X_41),complement(join(complement(X_41),X_42)))))]]) ).
cnf(refute_0_1908,plain,
join(meet(X_42,X_41),complement(join(complement(X_41),X_42))) = X_41,
inference(resolve,[$cnf( $equal(X_41,join(meet(X_42,X_41),complement(join(complement(X_41),X_42)))) )],[refute_0_214,refute_0_1907]) ).
cnf(refute_0_1909,plain,
( join(meet(X_42,X_41),complement(join(complement(X_41),X_42))) != X_41
| meet(X_42,X_41) != meet(meet(X_42,X_41),join(meet(X_42,X_41),complement(join(complement(X_41),X_42))))
| meet(X_42,X_41) = meet(meet(X_42,X_41),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,X_41),meet(meet(X_42,X_41),join(meet(X_42,X_41),complement(join(complement(X_41),X_42))))) ),[1,1],$fot(X_41)]]) ).
cnf(refute_0_1910,plain,
( meet(X_42,X_41) != meet(meet(X_42,X_41),join(meet(X_42,X_41),complement(join(complement(X_41),X_42))))
| meet(X_42,X_41) = meet(meet(X_42,X_41),X_41) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,X_41),complement(join(complement(X_41),X_42))),X_41) )],[refute_0_1908,refute_0_1909]) ).
cnf(refute_0_1911,plain,
meet(X_42,X_41) = meet(meet(X_42,X_41),X_41),
inference(resolve,[$cnf( $equal(meet(X_42,X_41),meet(meet(X_42,X_41),join(meet(X_42,X_41),complement(join(complement(X_41),X_42))))) )],[refute_0_1906,refute_0_1910]) ).
cnf(refute_0_1912,plain,
meet(meet(X_42,X_41),X_41) = meet(X_41,meet(X_42,X_41)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(X_41)),bind(X_16,$fot(meet(X_42,X_41)))]]) ).
cnf(refute_0_1913,plain,
( meet(X_42,X_41) != meet(meet(X_42,X_41),X_41)
| meet(meet(X_42,X_41),X_41) != meet(X_41,meet(X_42,X_41))
| meet(X_42,X_41) = meet(X_41,meet(X_42,X_41)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_42,X_41),meet(X_41,meet(X_42,X_41))) ),[0],$fot(meet(meet(X_42,X_41),X_41))]]) ).
cnf(refute_0_1914,plain,
( meet(X_42,X_41) != meet(meet(X_42,X_41),X_41)
| meet(X_42,X_41) = meet(X_41,meet(X_42,X_41)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_42,X_41),X_41),meet(X_41,meet(X_42,X_41))) )],[refute_0_1912,refute_0_1913]) ).
cnf(refute_0_1915,plain,
meet(X_42,X_41) = meet(X_41,meet(X_42,X_41)),
inference(resolve,[$cnf( $equal(meet(X_42,X_41),meet(meet(X_42,X_41),X_41)) )],[refute_0_1911,refute_0_1914]) ).
cnf(refute_0_1916,plain,
meet(X_42,X_642) = meet(X_642,meet(X_42,X_642)),
inference(subst,[],[refute_0_1915:[bind(X_41,$fot(X_642))]]) ).
cnf(refute_0_1917,plain,
( meet(X_42,X_642) != meet(X_642,meet(X_42,X_642))
| meet(X_642,meet(X_42,X_642)) = meet(X_42,X_642) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_42,X_642))),bind(Y,$fot(meet(X_642,meet(X_42,X_642))))]]) ).
cnf(refute_0_1918,plain,
meet(X_642,meet(X_42,X_642)) = meet(X_42,X_642),
inference(resolve,[$cnf( $equal(meet(X_42,X_642),meet(X_642,meet(X_42,X_642))) )],[refute_0_1916,refute_0_1917]) ).
cnf(refute_0_1919,plain,
( join(X_642,meet(X_642,meet(X_42,X_642))) != X_642
| meet(X_642,meet(X_42,X_642)) != meet(X_42,X_642)
| join(X_642,meet(X_42,X_642)) = X_642 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_642,meet(X_642,meet(X_42,X_642))),X_642) ),[0,1],$fot(meet(X_42,X_642))]]) ).
cnf(refute_0_1920,plain,
( join(X_642,meet(X_642,meet(X_42,X_642))) != X_642
| join(X_642,meet(X_42,X_642)) = X_642 ),
inference(resolve,[$cnf( $equal(meet(X_642,meet(X_42,X_642)),meet(X_42,X_642)) )],[refute_0_1918,refute_0_1919]) ).
cnf(refute_0_1921,plain,
join(X_642,meet(X_42,X_642)) = X_642,
inference(resolve,[$cnf( $equal(join(X_642,meet(X_642,meet(X_42,X_642))),X_642) )],[refute_0_1905,refute_0_1920]) ).
cnf(refute_0_1922,plain,
join(composition(X_42,composition(converse(X_42),X_42)),meet(X_42,composition(X_42,composition(converse(X_42),X_42)))) = composition(X_42,composition(converse(X_42),X_42)),
inference(subst,[],[refute_0_1921:[bind(X_642,$fot(composition(X_42,composition(converse(X_42),X_42))))]]) ).
cnf(refute_0_1923,plain,
meet(composition(A,meet(B,composition(converse(A),C))),C) = meet(C,composition(A,meet(B,composition(converse(A),C)))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(C)),bind(X_16,$fot(composition(A,meet(B,composition(converse(A),C)))))]]) ).
cnf(refute_0_1924,plain,
join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)),
introduced(tautology,[refl,[$fot(join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)))]]) ).
cnf(refute_0_1925,plain,
( join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) != join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C))
| meet(composition(A,meet(B,composition(converse(A),C))),C) != meet(C,composition(A,meet(B,composition(converse(A),C))))
| join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)),join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C))) ),[1,1],$fot(meet(C,composition(A,meet(B,composition(converse(A),C)))))]]) ).
cnf(refute_0_1926,plain,
( meet(composition(A,meet(B,composition(converse(A),C))),C) != meet(C,composition(A,meet(B,composition(converse(A),C))))
| join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)),join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C))) )],[refute_0_1924,refute_0_1925]) ).
cnf(refute_0_1927,plain,
join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))),
inference(resolve,[$cnf( $equal(meet(composition(A,meet(B,composition(converse(A),C))),C),meet(C,composition(A,meet(B,composition(converse(A),C))))) )],[refute_0_1923,refute_0_1926]) ).
cnf(refute_0_1928,plain,
( join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) != join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C)))))
| join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) != meet(composition(A,meet(B,composition(converse(A),C))),C)
| join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))) = meet(composition(A,meet(B,composition(converse(A),C))),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)),meet(composition(A,meet(B,composition(converse(A),C))),C)) ),[0],$fot(join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))))]]) ).
cnf(refute_0_1929,plain,
( join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) != meet(composition(A,meet(B,composition(converse(A),C))),C)
| join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))) = meet(composition(A,meet(B,composition(converse(A),C))),C) ),
inference(resolve,[$cnf( $equal(join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)),join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C)))))) )],[refute_0_1927,refute_0_1928]) ).
cnf(refute_0_1930,plain,
( join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))) != meet(composition(A,meet(B,composition(converse(A),C))),C)
| meet(composition(A,meet(B,composition(converse(A),C))),C) != meet(C,composition(A,meet(B,composition(converse(A),C))))
| join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))) = meet(C,composition(A,meet(B,composition(converse(A),C)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))),meet(C,composition(A,meet(B,composition(converse(A),C))))) ),[0],$fot(meet(composition(A,meet(B,composition(converse(A),C))),C))]]) ).
cnf(refute_0_1931,plain,
( join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))) != meet(composition(A,meet(B,composition(converse(A),C))),C)
| join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))) = meet(C,composition(A,meet(B,composition(converse(A),C)))) ),
inference(resolve,[$cnf( $equal(meet(composition(A,meet(B,composition(converse(A),C))),C),meet(C,composition(A,meet(B,composition(converse(A),C))))) )],[refute_0_1923,refute_0_1930]) ).
cnf(refute_0_1932,plain,
( join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) != meet(composition(A,meet(B,composition(converse(A),C))),C)
| join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))) = meet(C,composition(A,meet(B,composition(converse(A),C)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))),meet(composition(A,meet(B,composition(converse(A),C))),C)) )],[refute_0_1929,refute_0_1931]) ).
cnf(refute_0_1933,plain,
join(meet(composition(A,B),C),meet(C,composition(A,meet(B,composition(converse(A),C))))) = meet(C,composition(A,meet(B,composition(converse(A),C)))),
inference(resolve,[$cnf( $equal(join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)),meet(composition(A,meet(B,composition(converse(A),C))),C)) )],[modular_law_1_15,refute_0_1932]) ).
cnf(refute_0_1934,plain,
join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))) = meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))),
inference(subst,[],[refute_0_1933:[bind(A,$fot(X_1965)),bind(B,$fot(converse(composition(top,X_1965)))),bind(C,$fot(X_1965))]]) ).
cnf(refute_0_1935,plain,
X_41 = join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A))))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_41)),bind(B,$fot(converse(join(A,complement(join(converse(complement(X_41)),A))))))]]) ).
cnf(refute_0_1936,plain,
converse(top) = join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A))))),
inference(subst,[],[refute_0_694:[bind(X_4,$fot(complement(X_41)))]]) ).
cnf(refute_0_1937,plain,
( converse(top) != join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A)))))
| join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A)))))))]]) ).
cnf(refute_0_1938,plain,
join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A)))))) )],[refute_0_1936,refute_0_1937]) ).
cnf(refute_0_1939,plain,
( X_41 != join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A)))))))
| join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A))))) != converse(top)
| X_41 = join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1940,plain,
( X_41 != join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A)))))))
| X_41 = join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A))))),converse(top)) )],[refute_0_1938,refute_0_1939]) ).
cnf(refute_0_1941,plain,
X_41 = join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(join(complement(X_41),converse(join(A,complement(join(converse(complement(X_41)),A)))))))) )],[refute_0_1935,refute_0_1940]) ).
cnf(refute_0_1942,plain,
join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(converse(top))) = join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(converse(top)))),bind(B,$fot(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))))]]) ).
cnf(refute_0_1943,plain,
( X_41 != join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(converse(top)))
| join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(converse(top))) != join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))
| X_41 = join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))) ),[0],$fot(join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(converse(top))))]]) ).
cnf(refute_0_1944,plain,
( X_41 != join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(converse(top)))
| X_41 = join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(converse(top))),join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))) )],[refute_0_1942,refute_0_1943]) ).
cnf(refute_0_1945,plain,
X_41 = join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),complement(converse(top)))) )],[refute_0_1941,refute_0_1944]) ).
cnf(refute_0_1946,plain,
converse(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))))]]) ).
cnf(refute_0_1947,plain,
converse(top) = join(join(X_23,X_24),converse(complement(converse(join(X_23,X_24))))),
inference(subst,[],[refute_0_676:[bind(X_8,$fot(join(X_23,X_24)))]]) ).
cnf(refute_0_1948,plain,
( converse(join(X_23,X_24)) != converse(join(X_24,X_23))
| converse(top) != join(join(X_23,X_24),converse(complement(converse(join(X_23,X_24)))))
| converse(top) = join(join(X_23,X_24),converse(complement(converse(join(X_24,X_23))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_23,X_24),converse(complement(converse(join(X_23,X_24)))))) ),[1,1,0,0],$fot(converse(join(X_24,X_23)))]]) ).
cnf(refute_0_1949,plain,
( converse(top) != join(join(X_23,X_24),converse(complement(converse(join(X_23,X_24)))))
| converse(top) = join(join(X_23,X_24),converse(complement(converse(join(X_24,X_23))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_23,X_24)),converse(join(X_24,X_23))) )],[refute_0_723,refute_0_1948]) ).
cnf(refute_0_1950,plain,
converse(top) = join(join(X_23,X_24),converse(complement(converse(join(X_24,X_23))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_23,X_24),converse(complement(converse(join(X_23,X_24)))))) )],[refute_0_1947,refute_0_1949]) ).
cnf(refute_0_1951,plain,
join(join(X_23,X_24),converse(complement(converse(join(X_24,X_23))))) = join(X_23,join(X_24,converse(complement(converse(join(X_24,X_23)))))),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(converse(complement(converse(join(X_24,X_23))))))]]) ).
cnf(refute_0_1952,plain,
( converse(top) != join(join(X_23,X_24),converse(complement(converse(join(X_24,X_23)))))
| join(join(X_23,X_24),converse(complement(converse(join(X_24,X_23))))) != join(X_23,join(X_24,converse(complement(converse(join(X_24,X_23))))))
| converse(top) = join(X_23,join(X_24,converse(complement(converse(join(X_24,X_23)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_23,join(X_24,converse(complement(converse(join(X_24,X_23))))))) ),[0],$fot(join(join(X_23,X_24),converse(complement(converse(join(X_24,X_23))))))]]) ).
cnf(refute_0_1953,plain,
( converse(top) != join(join(X_23,X_24),converse(complement(converse(join(X_24,X_23)))))
| converse(top) = join(X_23,join(X_24,converse(complement(converse(join(X_24,X_23)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_23,X_24),converse(complement(converse(join(X_24,X_23))))),join(X_23,join(X_24,converse(complement(converse(join(X_24,X_23))))))) )],[refute_0_1951,refute_0_1952]) ).
cnf(refute_0_1954,plain,
converse(top) = join(X_23,join(X_24,converse(complement(converse(join(X_24,X_23)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_23,X_24),converse(complement(converse(join(X_24,X_23)))))) )],[refute_0_1950,refute_0_1953]) ).
cnf(refute_0_1955,plain,
converse(top) = join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(join(converse(complement(one)),join(one,complement(converse(top))))))))),
inference(subst,[],[refute_0_1954:[bind(X_23,$fot(join(one,complement(converse(top))))),bind(X_24,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1956,plain,
converse(join(converse(join(one,complement(converse(top)))),complement(one))) = converse(join(complement(one),converse(join(one,complement(converse(top)))))),
inference(subst,[],[refute_0_722:[bind(A,$fot(converse(join(one,complement(converse(top)))))),bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_1957,plain,
converse(top) = join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(join(converse(X_30),converse(complement(converse(converse(X_30))))))))),
inference(subst,[],[refute_0_694:[bind(A,$fot(converse(complement(converse(converse(X_30)))))),bind(X_4,$fot(X_30))]]) ).
cnf(refute_0_1958,plain,
converse(top) = join(converse(X_30),converse(complement(converse(converse(X_30))))),
inference(subst,[],[refute_0_676:[bind(X_8,$fot(converse(X_30)))]]) ).
cnf(refute_0_1959,plain,
( converse(top) != join(converse(X_30),converse(complement(converse(converse(X_30)))))
| join(converse(X_30),converse(complement(converse(converse(X_30))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(X_30),converse(complement(converse(converse(X_30)))))))]]) ).
cnf(refute_0_1960,plain,
join(converse(X_30),converse(complement(converse(converse(X_30))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(converse(X_30),converse(complement(converse(converse(X_30)))))) )],[refute_0_1958,refute_0_1959]) ).
cnf(refute_0_1961,plain,
( converse(top) != join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(join(converse(X_30),converse(complement(converse(converse(X_30)))))))))
| join(converse(X_30),converse(complement(converse(converse(X_30))))) != converse(top)
| converse(top) = join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(join(converse(X_30),converse(complement(converse(converse(X_30)))))))))) ),[1,1,0,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1962,plain,
( converse(top) != join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(join(converse(X_30),converse(complement(converse(converse(X_30)))))))))
| converse(top) = join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(converse(X_30),converse(complement(converse(converse(X_30))))),converse(top)) )],[refute_0_1960,refute_0_1961]) ).
cnf(refute_0_1963,plain,
converse(top) = join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(join(converse(X_30),converse(complement(converse(converse(X_30)))))))))) )],[refute_0_1957,refute_0_1962]) ).
cnf(refute_0_1964,plain,
converse(converse(X_30)) = X_30,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_30))]]) ).
cnf(refute_0_1965,plain,
complement(converse(converse(X_30))) = complement(converse(converse(X_30))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X_30))))]]) ).
cnf(refute_0_1966,plain,
( complement(converse(converse(X_30))) != complement(converse(converse(X_30)))
| converse(converse(X_30)) != X_30
| complement(converse(converse(X_30))) = complement(X_30) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_30))),complement(converse(converse(X_30)))) ),[1,0],$fot(X_30)]]) ).
cnf(refute_0_1967,plain,
( converse(converse(X_30)) != X_30
| complement(converse(converse(X_30))) = complement(X_30) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_30))),complement(converse(converse(X_30)))) )],[refute_0_1965,refute_0_1966]) ).
cnf(refute_0_1968,plain,
complement(converse(converse(X_30))) = complement(X_30),
inference(resolve,[$cnf( $equal(converse(converse(X_30)),X_30) )],[refute_0_1964,refute_0_1967]) ).
cnf(refute_0_1969,plain,
join(converse(complement(converse(top))),complement(converse(converse(X_30)))) = join(converse(complement(converse(top))),complement(converse(converse(X_30)))),
introduced(tautology,[refl,[$fot(join(converse(complement(converse(top))),complement(converse(converse(X_30)))))]]) ).
cnf(refute_0_1970,plain,
( complement(converse(converse(X_30))) != complement(X_30)
| join(converse(complement(converse(top))),complement(converse(converse(X_30)))) != join(converse(complement(converse(top))),complement(converse(converse(X_30))))
| join(converse(complement(converse(top))),complement(converse(converse(X_30)))) = join(converse(complement(converse(top))),complement(X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_30)))),join(converse(complement(converse(top))),complement(converse(converse(X_30))))) ),[1,1],$fot(complement(X_30))]]) ).
cnf(refute_0_1971,plain,
( complement(converse(converse(X_30))) != complement(X_30)
| join(converse(complement(converse(top))),complement(converse(converse(X_30)))) = join(converse(complement(converse(top))),complement(X_30)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_30)))),join(converse(complement(converse(top))),complement(converse(converse(X_30))))) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
join(converse(complement(converse(top))),complement(converse(converse(X_30)))) = join(converse(complement(converse(top))),complement(X_30)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_30))),complement(X_30)) )],[refute_0_1968,refute_0_1971]) ).
cnf(refute_0_1973,plain,
converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))) = join(converse(complement(converse(top))),complement(converse(converse(X_30)))),
inference(subst,[],[refute_0_128:[bind(A,$fot(complement(converse(converse(X_30))))),bind(X_4,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1974,plain,
( converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))) != join(converse(complement(converse(top))),complement(converse(converse(X_30))))
| join(converse(complement(converse(top))),complement(converse(converse(X_30)))) != join(converse(complement(converse(top))),complement(X_30))
| converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))) = join(converse(complement(converse(top))),complement(X_30)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))))),bind(Y,$fot(join(converse(complement(converse(top))),complement(converse(converse(X_30)))))),bind(Z,$fot(join(converse(complement(converse(top))),complement(X_30))))]]) ).
cnf(refute_0_1975,plain,
( join(converse(complement(converse(top))),complement(converse(converse(X_30)))) != join(converse(complement(converse(top))),complement(X_30))
| converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))) = join(converse(complement(converse(top))),complement(X_30)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))),join(converse(complement(converse(top))),complement(converse(converse(X_30))))) )],[refute_0_1973,refute_0_1974]) ).
cnf(refute_0_1976,plain,
converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))) = join(converse(complement(converse(top))),complement(X_30)),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(converse(X_30)))),join(converse(complement(converse(top))),complement(X_30))) )],[refute_0_1972,refute_0_1975]) ).
cnf(refute_0_1977,plain,
join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))) = join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))),
introduced(tautology,[refl,[$fot(join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))))]]) ).
cnf(refute_0_1978,plain,
( converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))) != join(converse(complement(converse(top))),complement(X_30))
| join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))) != join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))))
| join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))) = join(X_30,join(converse(complement(converse(top))),complement(X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))),join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))))) ),[1,1],$fot(join(converse(complement(converse(top))),complement(X_30)))]]) ).
cnf(refute_0_1979,plain,
( converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))) != join(converse(complement(converse(top))),complement(X_30))
| join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))) = join(X_30,join(converse(complement(converse(top))),complement(X_30))) ),
inference(resolve,[$cnf( $equal(join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))),join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))))) )],[refute_0_1977,refute_0_1978]) ).
cnf(refute_0_1980,plain,
join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))) = join(X_30,join(converse(complement(converse(top))),complement(X_30))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))),join(converse(complement(converse(top))),complement(X_30))) )],[refute_0_1976,refute_0_1979]) ).
cnf(refute_0_1981,plain,
join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))) = join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))),
inference(subst,[],[refute_0_731:[bind(A,$fot(X_30)),bind(X_23,$fot(complement(converse(top)))),bind(X_24,$fot(converse(complement(converse(converse(X_30))))))]]) ).
cnf(refute_0_1982,plain,
( join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))) != join(X_30,join(converse(complement(converse(top))),complement(X_30)))
| join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))) != join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))))
| join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))) = join(X_30,join(converse(complement(converse(top))),complement(X_30))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))))),bind(Y,$fot(join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))))),bind(Z,$fot(join(X_30,join(converse(complement(converse(top))),complement(X_30)))))]]) ).
cnf(refute_0_1983,plain,
( join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))) != join(X_30,join(converse(complement(converse(top))),complement(X_30)))
| join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))) = join(X_30,join(converse(complement(converse(top))),complement(X_30))) ),
inference(resolve,[$cnf( $equal(join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))),join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30)))))))) )],[refute_0_1981,refute_0_1982]) ).
cnf(refute_0_1984,plain,
join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))) = join(X_30,join(converse(complement(converse(top))),complement(X_30))),
inference(resolve,[$cnf( $equal(join(X_30,converse(join(complement(converse(top)),converse(complement(converse(converse(X_30))))))),join(X_30,join(converse(complement(converse(top))),complement(X_30)))) )],[refute_0_1980,refute_0_1983]) ).
cnf(refute_0_1985,plain,
( converse(top) != join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top)))))
| join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))) != join(X_30,join(converse(complement(converse(top))),complement(X_30)))
| converse(top) = join(X_30,join(converse(complement(converse(top))),complement(X_30))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_30,join(converse(complement(converse(top))),complement(X_30)))) ),[0],$fot(join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))))]]) ).
cnf(refute_0_1986,plain,
( converse(top) != join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top)))))
| converse(top) = join(X_30,join(converse(complement(converse(top))),complement(X_30))) ),
inference(resolve,[$cnf( $equal(join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top))))),join(X_30,join(converse(complement(converse(top))),complement(X_30)))) )],[refute_0_1984,refute_0_1985]) ).
cnf(refute_0_1987,plain,
converse(top) = join(X_30,join(converse(complement(converse(top))),complement(X_30))),
inference(resolve,[$cnf( $equal(converse(top),join(X_30,converse(join(converse(complement(converse(converse(X_30)))),complement(converse(top)))))) )],[refute_0_1963,refute_0_1986]) ).
cnf(refute_0_1988,plain,
converse(top) = join(complement(one),join(converse(complement(converse(top))),complement(complement(one)))),
inference(subst,[],[refute_0_1987:[bind(X_30,$fot(complement(one)))]]) ).
cnf(refute_0_1989,plain,
( complement(complement(one)) != one
| converse(top) != join(complement(one),join(converse(complement(converse(top))),complement(complement(one))))
| converse(top) = join(complement(one),join(converse(complement(converse(top))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(complement(one),join(converse(complement(converse(top))),complement(complement(one))))) ),[1,1,1],$fot(one)]]) ).
cnf(refute_0_1990,plain,
( converse(top) != join(complement(one),join(converse(complement(converse(top))),complement(complement(one))))
| converse(top) = join(complement(one),join(converse(complement(converse(top))),one)) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1413,refute_0_1989]) ).
cnf(refute_0_1991,plain,
converse(top) = join(complement(one),join(converse(complement(converse(top))),one)),
inference(resolve,[$cnf( $equal(converse(top),join(complement(one),join(converse(complement(converse(top))),complement(complement(one))))) )],[refute_0_1988,refute_0_1990]) ).
cnf(refute_0_1992,plain,
join(one,converse(complement(converse(top)))) = converse(join(one,complement(converse(top)))),
inference(subst,[],[refute_0_1258:[bind(X_5,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1993,plain,
join(converse(complement(converse(top))),one) = join(one,converse(complement(converse(top)))),
inference(subst,[],[refute_0_53:[bind(A,$fot(one)),bind(B,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_1994,plain,
( join(converse(complement(converse(top))),one) != join(one,converse(complement(converse(top))))
| join(one,converse(complement(converse(top)))) != converse(join(one,complement(converse(top))))
| join(converse(complement(converse(top))),one) = converse(join(one,complement(converse(top)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(complement(converse(top))),one))),bind(Y,$fot(join(one,converse(complement(converse(top)))))),bind(Z,$fot(converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_1995,plain,
( join(one,converse(complement(converse(top)))) != converse(join(one,complement(converse(top))))
| join(converse(complement(converse(top))),one) = converse(join(one,complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),one),join(one,converse(complement(converse(top))))) )],[refute_0_1993,refute_0_1994]) ).
cnf(refute_0_1996,plain,
join(converse(complement(converse(top))),one) = converse(join(one,complement(converse(top)))),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(top)))),converse(join(one,complement(converse(top))))) )],[refute_0_1992,refute_0_1995]) ).
cnf(refute_0_1997,plain,
join(complement(one),join(converse(complement(converse(top))),one)) = join(complement(one),join(converse(complement(converse(top))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(complement(converse(top))),one)))]]) ).
cnf(refute_0_1998,plain,
( join(complement(one),join(converse(complement(converse(top))),one)) != join(complement(one),join(converse(complement(converse(top))),one))
| join(converse(complement(converse(top))),one) != converse(join(one,complement(converse(top))))
| join(complement(one),join(converse(complement(converse(top))),one)) = join(complement(one),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(complement(converse(top))),one)),join(complement(one),join(converse(complement(converse(top))),one))) ),[1,1],$fot(converse(join(one,complement(converse(top)))))]]) ).
cnf(refute_0_1999,plain,
( join(converse(complement(converse(top))),one) != converse(join(one,complement(converse(top))))
| join(complement(one),join(converse(complement(converse(top))),one)) = join(complement(one),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(complement(converse(top))),one)),join(complement(one),join(converse(complement(converse(top))),one))) )],[refute_0_1997,refute_0_1998]) ).
cnf(refute_0_2000,plain,
join(complement(one),join(converse(complement(converse(top))),one)) = join(complement(one),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),one),converse(join(one,complement(converse(top))))) )],[refute_0_1996,refute_0_1999]) ).
cnf(refute_0_2001,plain,
( converse(top) != join(complement(one),join(converse(complement(converse(top))),one))
| join(complement(one),join(converse(complement(converse(top))),one)) != join(complement(one),converse(join(one,complement(converse(top)))))
| converse(top) = join(complement(one),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(one),converse(join(one,complement(converse(top)))))) ),[0],$fot(join(complement(one),join(converse(complement(converse(top))),one)))]]) ).
cnf(refute_0_2002,plain,
( converse(top) != join(complement(one),join(converse(complement(converse(top))),one))
| converse(top) = join(complement(one),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(complement(converse(top))),one)),join(complement(one),converse(join(one,complement(converse(top)))))) )],[refute_0_2000,refute_0_2001]) ).
cnf(refute_0_2003,plain,
converse(top) = join(complement(one),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(top),join(complement(one),join(converse(complement(converse(top))),one))) )],[refute_0_1991,refute_0_2002]) ).
cnf(refute_0_2004,plain,
( converse(top) != join(complement(one),converse(join(one,complement(converse(top)))))
| join(complement(one),converse(join(one,complement(converse(top))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(one),converse(join(one,complement(converse(top)))))))]]) ).
cnf(refute_0_2005,plain,
join(complement(one),converse(join(one,complement(converse(top))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(one),converse(join(one,complement(converse(top)))))) )],[refute_0_2003,refute_0_2004]) ).
cnf(refute_0_2006,plain,
( converse(join(converse(join(one,complement(converse(top)))),complement(one))) != converse(join(complement(one),converse(join(one,complement(converse(top))))))
| join(complement(one),converse(join(one,complement(converse(top))))) != converse(top)
| converse(join(converse(join(one,complement(converse(top)))),complement(one))) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(one,complement(converse(top)))),complement(one))),converse(join(complement(one),converse(join(one,complement(converse(top))))))) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_2007,plain,
( converse(join(converse(join(one,complement(converse(top)))),complement(one))) != converse(join(complement(one),converse(join(one,complement(converse(top))))))
| converse(join(converse(join(one,complement(converse(top)))),complement(one))) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(join(one,complement(converse(top))))),converse(top)) )],[refute_0_2005,refute_0_2006]) ).
cnf(refute_0_2008,plain,
converse(join(converse(join(one,complement(converse(top)))),complement(one))) = converse(converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(one,complement(converse(top)))),complement(one))),converse(join(complement(one),converse(join(one,complement(converse(top))))))) )],[refute_0_1956,refute_0_2007]) ).
cnf(refute_0_2009,plain,
converse(join(complement(one),converse(join(one,complement(converse(top)))))) = join(converse(complement(one)),join(one,complement(converse(top)))),
inference(subst,[],[refute_0_128:[bind(A,$fot(join(one,complement(converse(top))))),bind(X_4,$fot(complement(one)))]]) ).
cnf(refute_0_2010,plain,
( converse(join(complement(one),converse(join(one,complement(converse(top)))))) != join(converse(complement(one)),join(one,complement(converse(top))))
| converse(join(converse(join(one,complement(converse(top)))),complement(one))) != converse(join(complement(one),converse(join(one,complement(converse(top))))))
| converse(join(converse(join(one,complement(converse(top)))),complement(one))) = join(converse(complement(one)),join(one,complement(converse(top)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(converse(join(one,complement(converse(top)))),complement(one))))),bind(Y,$fot(converse(join(complement(one),converse(join(one,complement(converse(top)))))))),bind(Z,$fot(join(converse(complement(one)),join(one,complement(converse(top))))))]]) ).
cnf(refute_0_2011,plain,
( converse(join(complement(one),converse(join(one,complement(converse(top)))))) != join(converse(complement(one)),join(one,complement(converse(top))))
| converse(join(converse(join(one,complement(converse(top)))),complement(one))) = join(converse(complement(one)),join(one,complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(one,complement(converse(top)))),complement(one))),converse(join(complement(one),converse(join(one,complement(converse(top))))))) )],[refute_0_1956,refute_0_2010]) ).
cnf(refute_0_2012,plain,
converse(join(converse(join(one,complement(converse(top)))),complement(one))) = join(converse(complement(one)),join(one,complement(converse(top)))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(join(one,complement(converse(top)))))),join(converse(complement(one)),join(one,complement(converse(top))))) )],[refute_0_2009,refute_0_2011]) ).
cnf(refute_0_2013,plain,
( converse(join(converse(join(one,complement(converse(top)))),complement(one))) != converse(converse(top))
| converse(join(converse(join(one,complement(converse(top)))),complement(one))) != join(converse(complement(one)),join(one,complement(converse(top))))
| join(converse(complement(one)),join(one,complement(converse(top)))) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(one,complement(converse(top)))),complement(one))),converse(converse(top))) ),[0],$fot(join(converse(complement(one)),join(one,complement(converse(top)))))]]) ).
cnf(refute_0_2014,plain,
( converse(join(converse(join(one,complement(converse(top)))),complement(one))) != converse(converse(top))
| join(converse(complement(one)),join(one,complement(converse(top)))) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(one,complement(converse(top)))),complement(one))),join(converse(complement(one)),join(one,complement(converse(top))))) )],[refute_0_2012,refute_0_2013]) ).
cnf(refute_0_2015,plain,
( converse(converse(top)) != top
| join(converse(complement(one)),join(one,complement(converse(top)))) != converse(converse(top))
| join(converse(complement(one)),join(one,complement(converse(top)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),join(one,complement(converse(top)))),converse(converse(top))) ),[1],$fot(top)]]) ).
cnf(refute_0_2016,plain,
( join(converse(complement(one)),join(one,complement(converse(top)))) != converse(converse(top))
| join(converse(complement(one)),join(one,complement(converse(top)))) = top ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_745,refute_0_2015]) ).
cnf(refute_0_2017,plain,
( converse(join(converse(join(one,complement(converse(top)))),complement(one))) != converse(converse(top))
| join(converse(complement(one)),join(one,complement(converse(top)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),join(one,complement(converse(top)))),converse(converse(top))) )],[refute_0_2014,refute_0_2016]) ).
cnf(refute_0_2018,plain,
join(converse(complement(one)),join(one,complement(converse(top)))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(join(one,complement(converse(top)))),complement(one))),converse(converse(top))) )],[refute_0_2008,refute_0_2017]) ).
cnf(refute_0_2019,plain,
( converse(top) != join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(join(converse(complement(one)),join(one,complement(converse(top)))))))))
| join(converse(complement(one)),join(one,complement(converse(top)))) != top
| converse(top) = join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(join(converse(complement(one)),join(one,complement(converse(top)))))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).
cnf(refute_0_2020,plain,
( converse(top) != join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(join(converse(complement(one)),join(one,complement(converse(top)))))))))
| converse(top) = join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),join(one,complement(converse(top)))),top) )],[refute_0_2018,refute_0_2019]) ).
cnf(refute_0_2021,plain,
converse(top) = join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(join(converse(complement(one)),join(one,complement(converse(top)))))))))) )],[refute_0_1955,refute_0_2020]) ).
cnf(refute_0_2022,plain,
( converse(join(A,join(X_7,converse(X_6)))) != join(converse(A),join(converse(X_7),X_6))
| join(converse(A),join(converse(X_7),X_6)) = converse(join(A,join(X_7,converse(X_6)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(A,join(X_7,converse(X_6)))))),bind(Y,$fot(join(converse(A),join(converse(X_7),X_6))))]]) ).
cnf(refute_0_2023,plain,
join(converse(A),join(converse(X_7),X_6)) = converse(join(A,join(X_7,converse(X_6)))),
inference(resolve,[$cnf( $equal(converse(join(A,join(X_7,converse(X_6)))),join(converse(A),join(converse(X_7),X_6))) )],[refute_0_1272,refute_0_2022]) ).
cnf(refute_0_2024,plain,
join(converse(complement(one)),join(converse(complement(converse(top))),join(one,complement(converse(top))))) = converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))),
inference(subst,[],[refute_0_2023:[bind(A,$fot(complement(one))),bind(X_6,$fot(join(one,complement(converse(top))))),bind(X_7,$fot(complement(converse(top))))]]) ).
cnf(refute_0_2025,plain,
( join(converse(X_4),join(X_24,X_23)) != join(converse(X_4),join(X_23,X_24))
| join(converse(X_4),join(X_23,X_24)) = join(converse(X_4),join(X_24,X_23)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(converse(X_4),join(X_24,X_23)))),bind(Y,$fot(join(converse(X_4),join(X_23,X_24))))]]) ).
cnf(refute_0_2026,plain,
join(converse(X_4),join(X_23,X_24)) = join(converse(X_4),join(X_24,X_23)),
inference(resolve,[$cnf( $equal(join(converse(X_4),join(X_24,X_23)),join(converse(X_4),join(X_23,X_24))) )],[refute_0_1646,refute_0_2025]) ).
cnf(refute_0_2027,plain,
join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top))))) = join(converse(complement(one)),join(converse(complement(converse(top))),join(one,complement(converse(top))))),
inference(subst,[],[refute_0_2026:[bind(X_23,$fot(join(one,complement(converse(top))))),bind(X_24,$fot(converse(complement(converse(top))))),bind(X_4,$fot(complement(one)))]]) ).
cnf(refute_0_2028,plain,
( join(converse(complement(one)),join(converse(complement(converse(top))),join(one,complement(converse(top))))) != converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))
| join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top))))) != join(converse(complement(one)),join(converse(complement(converse(top))),join(one,complement(converse(top)))))
| join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top))))) = converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top))))))),bind(Y,$fot(join(converse(complement(one)),join(converse(complement(converse(top))),join(one,complement(converse(top))))))),bind(Z,$fot(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))))]]) ).
cnf(refute_0_2029,plain,
( join(converse(complement(one)),join(converse(complement(converse(top))),join(one,complement(converse(top))))) != converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))
| join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top))))) = converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top))))),join(converse(complement(one)),join(converse(complement(converse(top))),join(one,complement(converse(top)))))) )],[refute_0_2027,refute_0_2028]) ).
cnf(refute_0_2030,plain,
join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top))))) = converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),join(converse(complement(converse(top))),join(one,complement(converse(top))))),converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))) )],[refute_0_2024,refute_0_2029]) ).
cnf(refute_0_2031,plain,
converse(join(converse(join(X_23,X_24)),X_5)) = join(join(X_23,X_24),converse(X_5)),
inference(subst,[],[refute_0_93:[bind(A,$fot(join(X_23,X_24)))]]) ).
cnf(refute_0_2032,plain,
( converse(join(X_23,X_24)) != converse(join(X_24,X_23))
| converse(join(converse(join(X_23,X_24)),X_5)) != join(join(X_23,X_24),converse(X_5))
| converse(join(converse(join(X_24,X_23)),X_5)) = join(join(X_23,X_24),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_23,X_24)),X_5)),join(join(X_23,X_24),converse(X_5))) ),[0,0,0],$fot(converse(join(X_24,X_23)))]]) ).
cnf(refute_0_2033,plain,
( converse(join(converse(join(X_23,X_24)),X_5)) != join(join(X_23,X_24),converse(X_5))
| converse(join(converse(join(X_24,X_23)),X_5)) = join(join(X_23,X_24),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(join(X_23,X_24)),converse(join(X_24,X_23))) )],[refute_0_723,refute_0_2032]) ).
cnf(refute_0_2034,plain,
converse(join(converse(join(X_24,X_23)),X_5)) = join(join(X_23,X_24),converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_23,X_24)),X_5)),join(join(X_23,X_24),converse(X_5))) )],[refute_0_2031,refute_0_2033]) ).
cnf(refute_0_2035,plain,
join(join(X_24,X_23),converse(X_5)) = join(X_24,join(X_23,converse(X_5))),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_24)),bind(B,$fot(X_23)),bind(C,$fot(converse(X_5)))]]) ).
cnf(refute_0_2036,plain,
converse(join(converse(join(X_24,X_23)),X_5)) = join(join(X_24,X_23),converse(X_5)),
inference(subst,[],[refute_0_93:[bind(A,$fot(join(X_24,X_23)))]]) ).
cnf(refute_0_2037,plain,
( converse(join(converse(join(X_24,X_23)),X_5)) != join(join(X_24,X_23),converse(X_5))
| join(join(X_24,X_23),converse(X_5)) != join(X_24,join(X_23,converse(X_5)))
| converse(join(converse(join(X_24,X_23)),X_5)) = join(X_24,join(X_23,converse(X_5))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(converse(join(X_24,X_23)),X_5)))),bind(Y,$fot(join(join(X_24,X_23),converse(X_5)))),bind(Z,$fot(join(X_24,join(X_23,converse(X_5)))))]]) ).
cnf(refute_0_2038,plain,
( join(join(X_24,X_23),converse(X_5)) != join(X_24,join(X_23,converse(X_5)))
| converse(join(converse(join(X_24,X_23)),X_5)) = join(X_24,join(X_23,converse(X_5))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_24,X_23)),X_5)),join(join(X_24,X_23),converse(X_5))) )],[refute_0_2036,refute_0_2037]) ).
cnf(refute_0_2039,plain,
converse(join(converse(join(X_24,X_23)),X_5)) = join(X_24,join(X_23,converse(X_5))),
inference(resolve,[$cnf( $equal(join(join(X_24,X_23),converse(X_5)),join(X_24,join(X_23,converse(X_5)))) )],[refute_0_2035,refute_0_2038]) ).
cnf(refute_0_2040,plain,
( converse(join(converse(join(X_24,X_23)),X_5)) != join(X_24,join(X_23,converse(X_5)))
| converse(join(converse(join(X_24,X_23)),X_5)) != join(join(X_23,X_24),converse(X_5))
| join(X_24,join(X_23,converse(X_5))) = join(join(X_23,X_24),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_24,X_23)),X_5)),join(join(X_23,X_24),converse(X_5))) ),[0],$fot(join(X_24,join(X_23,converse(X_5))))]]) ).
cnf(refute_0_2041,plain,
( converse(join(converse(join(X_24,X_23)),X_5)) != join(join(X_23,X_24),converse(X_5))
| join(X_24,join(X_23,converse(X_5))) = join(join(X_23,X_24),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_24,X_23)),X_5)),join(X_24,join(X_23,converse(X_5)))) )],[refute_0_2039,refute_0_2040]) ).
cnf(refute_0_2042,plain,
join(join(X_23,X_24),converse(X_5)) = join(X_23,join(X_24,converse(X_5))),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(converse(X_5)))]]) ).
cnf(refute_0_2043,plain,
( join(X_24,join(X_23,converse(X_5))) != join(join(X_23,X_24),converse(X_5))
| join(join(X_23,X_24),converse(X_5)) != join(X_23,join(X_24,converse(X_5)))
| join(X_24,join(X_23,converse(X_5))) = join(X_23,join(X_24,converse(X_5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_24,join(X_23,converse(X_5))),join(X_23,join(X_24,converse(X_5)))) ),[0],$fot(join(join(X_23,X_24),converse(X_5)))]]) ).
cnf(refute_0_2044,plain,
( join(X_24,join(X_23,converse(X_5))) != join(join(X_23,X_24),converse(X_5))
| join(X_24,join(X_23,converse(X_5))) = join(X_23,join(X_24,converse(X_5))) ),
inference(resolve,[$cnf( $equal(join(join(X_23,X_24),converse(X_5)),join(X_23,join(X_24,converse(X_5)))) )],[refute_0_2042,refute_0_2043]) ).
cnf(refute_0_2045,plain,
( converse(join(converse(join(X_24,X_23)),X_5)) != join(join(X_23,X_24),converse(X_5))
| join(X_24,join(X_23,converse(X_5))) = join(X_23,join(X_24,converse(X_5))) ),
inference(resolve,[$cnf( $equal(join(X_24,join(X_23,converse(X_5))),join(join(X_23,X_24),converse(X_5))) )],[refute_0_2041,refute_0_2044]) ).
cnf(refute_0_2046,plain,
join(X_24,join(X_23,converse(X_5))) = join(X_23,join(X_24,converse(X_5))),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_24,X_23)),X_5)),join(join(X_23,X_24),converse(X_5))) )],[refute_0_2034,refute_0_2045]) ).
cnf(refute_0_2047,plain,
( join(X_24,join(X_23,converse(X_5))) != join(X_23,join(X_24,converse(X_5)))
| join(X_23,join(X_24,converse(X_5))) = join(X_24,join(X_23,converse(X_5))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_24,join(X_23,converse(X_5))))),bind(Y,$fot(join(X_23,join(X_24,converse(X_5)))))]]) ).
cnf(refute_0_2048,plain,
join(X_23,join(X_24,converse(X_5))) = join(X_24,join(X_23,converse(X_5))),
inference(resolve,[$cnf( $equal(join(X_24,join(X_23,converse(X_5))),join(X_23,join(X_24,converse(X_5)))) )],[refute_0_2046,refute_0_2047]) ).
cnf(refute_0_2049,plain,
join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))) = join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top))))),
inference(subst,[],[refute_0_2048:[bind(X_23,$fot(join(one,complement(converse(top))))),bind(X_24,$fot(converse(complement(one)))),bind(X_5,$fot(complement(converse(top))))]]) ).
cnf(refute_0_2050,plain,
( join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top))))) != converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))
| join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))) != join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top)))))
| join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))) = converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))))),bind(Y,$fot(join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top))))))),bind(Z,$fot(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))))]]) ).
cnf(refute_0_2051,plain,
( join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top))))) != converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))
| join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))) = converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))),join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top)))))) )],[refute_0_2049,refute_0_2050]) ).
cnf(refute_0_2052,plain,
join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))) = converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),join(join(one,complement(converse(top))),converse(complement(converse(top))))),converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))) )],[refute_0_2030,refute_0_2051]) ).
cnf(refute_0_2053,plain,
( converse(top) != join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top)))))
| join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))) != converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))
| converse(top) = converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))) ),[0],$fot(join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))))]]) ).
cnf(refute_0_2054,plain,
( converse(top) != join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top)))))
| converse(top) = converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top))))),converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))) )],[refute_0_2052,refute_0_2053]) ).
cnf(refute_0_2055,plain,
converse(top) = converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(one,complement(converse(top))),join(converse(complement(one)),converse(complement(converse(top)))))) )],[refute_0_2021,refute_0_2054]) ).
cnf(refute_0_2056,plain,
( converse(top) != converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))
| converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))))]]) ).
cnf(refute_0_2057,plain,
converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))) )],[refute_0_2055,refute_0_2056]) ).
cnf(refute_0_2058,plain,
( converse(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))) != join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))
| converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) != converse(top)
| converse(converse(top)) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))),join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) ),[0,0],$fot(converse(top))]]) ).
cnf(refute_0_2059,plain,
( converse(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))) != join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))
| converse(converse(top)) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))),converse(top)) )],[refute_0_2057,refute_0_2058]) ).
cnf(refute_0_2060,plain,
converse(converse(top)) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),
inference(resolve,[$cnf( $equal(converse(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))),join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) )],[refute_0_1946,refute_0_2059]) ).
cnf(refute_0_2061,plain,
( converse(converse(top)) != join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))
| converse(converse(top)) != top
| top = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_2062,plain,
( converse(converse(top)) != join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))
| top = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_745,refute_0_2061]) ).
cnf(refute_0_2063,plain,
converse(top) = join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))))))),
inference(subst,[],[refute_0_676:[bind(X_8,$fot(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))))]]) ).
cnf(refute_0_2064,plain,
( converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) != converse(top)
| converse(top) != join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))))))
| converse(top) = join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))))))) ),[1,1,0,0],$fot(converse(top))]]) ).
cnf(refute_0_2065,plain,
( converse(top) != join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))))))
| converse(top) = join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))),converse(top)) )],[refute_0_2057,refute_0_2064]) ).
cnf(refute_0_2066,plain,
converse(top) = join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))))))) )],[refute_0_2063,refute_0_2065]) ).
cnf(refute_0_2067,plain,
complement(meet(converse(top),converse(top))) = complement(converse(top)),
inference(subst,[],[refute_0_470:[bind(B,$fot(converse(top)))]]) ).
cnf(refute_0_2068,plain,
join(complement(converse(top)),complement(converse(top))) = complement(meet(converse(top),converse(top))),
inference(subst,[],[refute_0_356:[bind(A,$fot(converse(top))),bind(B,$fot(converse(top)))]]) ).
cnf(refute_0_2069,plain,
( complement(meet(converse(top),converse(top))) != complement(converse(top))
| join(complement(converse(top)),complement(converse(top))) != complement(meet(converse(top),converse(top)))
| join(complement(converse(top)),complement(converse(top))) = complement(converse(top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(converse(top)),complement(converse(top))))),bind(Y,$fot(complement(meet(converse(top),converse(top))))),bind(Z,$fot(complement(converse(top))))]]) ).
cnf(refute_0_2070,plain,
( complement(meet(converse(top),converse(top))) != complement(converse(top))
| join(complement(converse(top)),complement(converse(top))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),complement(converse(top))),complement(meet(converse(top),converse(top)))) )],[refute_0_2068,refute_0_2069]) ).
cnf(refute_0_2071,plain,
join(complement(converse(top)),complement(converse(top))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(complement(meet(converse(top),converse(top))),complement(converse(top))) )],[refute_0_2067,refute_0_2070]) ).
cnf(refute_0_2072,plain,
join(one,join(complement(converse(top)),complement(converse(top)))) = join(one,join(complement(converse(top)),complement(converse(top)))),
introduced(tautology,[refl,[$fot(join(one,join(complement(converse(top)),complement(converse(top)))))]]) ).
cnf(refute_0_2073,plain,
( join(complement(converse(top)),complement(converse(top))) != complement(converse(top))
| join(one,join(complement(converse(top)),complement(converse(top)))) != join(one,join(complement(converse(top)),complement(converse(top))))
| join(one,join(complement(converse(top)),complement(converse(top)))) = join(one,complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(top)),complement(converse(top)))),join(one,join(complement(converse(top)),complement(converse(top))))) ),[1,1],$fot(complement(converse(top)))]]) ).
cnf(refute_0_2074,plain,
( join(complement(converse(top)),complement(converse(top))) != complement(converse(top))
| join(one,join(complement(converse(top)),complement(converse(top)))) = join(one,complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(top)),complement(converse(top)))),join(one,join(complement(converse(top)),complement(converse(top))))) )],[refute_0_2072,refute_0_2073]) ).
cnf(refute_0_2075,plain,
join(one,join(complement(converse(top)),complement(converse(top)))) = join(one,complement(converse(top))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),complement(converse(top))),complement(converse(top))) )],[refute_0_2071,refute_0_2074]) ).
cnf(refute_0_2076,plain,
converse(join(one,join(complement(converse(top)),complement(converse(top))))) = converse(join(one,join(complement(converse(top)),complement(converse(top))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(complement(converse(top)),complement(converse(top))))))]]) ).
cnf(refute_0_2077,plain,
( converse(join(one,join(complement(converse(top)),complement(converse(top))))) != converse(join(one,join(complement(converse(top)),complement(converse(top)))))
| join(one,join(complement(converse(top)),complement(converse(top)))) != join(one,complement(converse(top)))
| converse(join(one,join(complement(converse(top)),complement(converse(top))))) = converse(join(one,complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(complement(converse(top)),complement(converse(top))))),converse(join(one,join(complement(converse(top)),complement(converse(top)))))) ),[1,0],$fot(join(one,complement(converse(top))))]]) ).
cnf(refute_0_2078,plain,
( join(one,join(complement(converse(top)),complement(converse(top)))) != join(one,complement(converse(top)))
| converse(join(one,join(complement(converse(top)),complement(converse(top))))) = converse(join(one,complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(top)),complement(converse(top))))),converse(join(one,join(complement(converse(top)),complement(converse(top)))))) )],[refute_0_2076,refute_0_2077]) ).
cnf(refute_0_2079,plain,
converse(join(one,join(complement(converse(top)),complement(converse(top))))) = converse(join(one,complement(converse(top)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(top)),complement(converse(top)))),join(one,complement(converse(top)))) )],[refute_0_2075,refute_0_2078]) ).
cnf(refute_0_2080,plain,
( converse(join(X_23,join(X_24,B))) != converse(join(X_24,join(X_23,B)))
| converse(join(X_24,join(X_23,B))) = converse(join(X_23,join(X_24,B))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(X_23,join(X_24,B))))),bind(Y,$fot(converse(join(X_24,join(X_23,B)))))]]) ).
cnf(refute_0_2081,plain,
converse(join(X_24,join(X_23,B))) = converse(join(X_23,join(X_24,B))),
inference(resolve,[$cnf( $equal(converse(join(X_23,join(X_24,B))),converse(join(X_24,join(X_23,B)))) )],[refute_0_1312,refute_0_2080]) ).
cnf(refute_0_2082,plain,
converse(join(complement(converse(top)),join(one,complement(converse(top))))) = converse(join(one,join(complement(converse(top)),complement(converse(top))))),
inference(subst,[],[refute_0_2081:[bind(B,$fot(complement(converse(top)))),bind(X_23,$fot(one)),bind(X_24,$fot(complement(converse(top))))]]) ).
cnf(refute_0_2083,plain,
( converse(join(A,B)) != converse(join(B,A))
| converse(join(B,A)) = converse(join(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(A,B)))),bind(Y,$fot(converse(join(B,A))))]]) ).
cnf(refute_0_2084,plain,
converse(join(B,A)) = converse(join(A,B)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),converse(join(B,A))) )],[refute_0_722,refute_0_2083]) ).
cnf(refute_0_2085,plain,
converse(join(join(one,complement(converse(top))),complement(converse(top)))) = converse(join(complement(converse(top)),join(one,complement(converse(top))))),
inference(subst,[],[refute_0_2084:[bind(A,$fot(complement(converse(top)))),bind(B,$fot(join(one,complement(converse(top)))))]]) ).
cnf(refute_0_2086,plain,
( converse(join(complement(converse(top)),join(one,complement(converse(top))))) != converse(join(one,join(complement(converse(top)),complement(converse(top)))))
| converse(join(join(one,complement(converse(top))),complement(converse(top)))) != converse(join(complement(converse(top)),join(one,complement(converse(top)))))
| converse(join(join(one,complement(converse(top))),complement(converse(top)))) = converse(join(one,join(complement(converse(top)),complement(converse(top))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(join(one,complement(converse(top))),complement(converse(top)))))),bind(Y,$fot(converse(join(complement(converse(top)),join(one,complement(converse(top))))))),bind(Z,$fot(converse(join(one,join(complement(converse(top)),complement(converse(top)))))))]]) ).
cnf(refute_0_2087,plain,
( converse(join(complement(converse(top)),join(one,complement(converse(top))))) != converse(join(one,join(complement(converse(top)),complement(converse(top)))))
| converse(join(join(one,complement(converse(top))),complement(converse(top)))) = converse(join(one,join(complement(converse(top)),complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,complement(converse(top))),complement(converse(top)))),converse(join(complement(converse(top)),join(one,complement(converse(top)))))) )],[refute_0_2085,refute_0_2086]) ).
cnf(refute_0_2088,plain,
converse(join(join(one,complement(converse(top))),complement(converse(top)))) = converse(join(one,join(complement(converse(top)),complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),join(one,complement(converse(top))))),converse(join(one,join(complement(converse(top)),complement(converse(top)))))) )],[refute_0_2082,refute_0_2087]) ).
cnf(refute_0_2089,plain,
join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))) = converse(join(join(one,complement(converse(top))),complement(converse(top)))),
inference(subst,[],[refute_0_682:[bind(A,$fot(join(one,complement(converse(top))))),bind(B,$fot(complement(converse(top))))]]) ).
cnf(refute_0_2090,plain,
( converse(join(join(one,complement(converse(top))),complement(converse(top)))) != converse(join(one,join(complement(converse(top)),complement(converse(top)))))
| join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))) != converse(join(join(one,complement(converse(top))),complement(converse(top))))
| join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))) = converse(join(one,join(complement(converse(top)),complement(converse(top))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))))),bind(Y,$fot(converse(join(join(one,complement(converse(top))),complement(converse(top)))))),bind(Z,$fot(converse(join(one,join(complement(converse(top)),complement(converse(top)))))))]]) ).
cnf(refute_0_2091,plain,
( converse(join(join(one,complement(converse(top))),complement(converse(top)))) != converse(join(one,join(complement(converse(top)),complement(converse(top)))))
| join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))) = converse(join(one,join(complement(converse(top)),complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))),converse(join(join(one,complement(converse(top))),complement(converse(top))))) )],[refute_0_2089,refute_0_2090]) ).
cnf(refute_0_2092,plain,
join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))) = converse(join(one,join(complement(converse(top)),complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(join(join(one,complement(converse(top))),complement(converse(top)))),converse(join(one,join(complement(converse(top)),complement(converse(top)))))) )],[refute_0_2088,refute_0_2091]) ).
cnf(refute_0_2093,plain,
( converse(join(one,join(complement(converse(top)),complement(converse(top))))) != converse(join(one,complement(converse(top))))
| join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))) != converse(join(one,join(complement(converse(top)),complement(converse(top)))))
| join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))) = converse(join(one,complement(converse(top)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))))),bind(Y,$fot(converse(join(one,join(complement(converse(top)),complement(converse(top))))))),bind(Z,$fot(converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_2094,plain,
( converse(join(one,join(complement(converse(top)),complement(converse(top))))) != converse(join(one,complement(converse(top))))
| join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))) = converse(join(one,complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))),converse(join(one,join(complement(converse(top)),complement(converse(top)))))) )],[refute_0_2092,refute_0_2093]) ).
cnf(refute_0_2095,plain,
join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))) = converse(join(one,complement(converse(top)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(top)),complement(converse(top))))),converse(join(one,complement(converse(top))))) )],[refute_0_2079,refute_0_2094]) ).
cnf(refute_0_2096,plain,
join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))) = join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))))]]) ).
cnf(refute_0_2097,plain,
( join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))) != join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))))
| join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))) != converse(join(one,complement(converse(top))))
| join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))) = join(complement(converse(top)),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))),join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))))) ),[1,1],$fot(converse(join(one,complement(converse(top)))))]]) ).
cnf(refute_0_2098,plain,
( join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))) != converse(join(one,complement(converse(top))))
| join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))) = join(complement(converse(top)),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))),join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))))) )],[refute_0_2096,refute_0_2097]) ).
cnf(refute_0_2099,plain,
join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))) = join(complement(converse(top)),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))),converse(join(one,complement(converse(top))))) )],[refute_0_2095,refute_0_2098]) ).
cnf(refute_0_2100,plain,
join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))) = join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))),
inference(subst,[],[refute_0_147:[bind(A,$fot(complement(converse(top)))),bind(B,$fot(converse(join(one,complement(converse(top)))))),bind(C,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_2101,plain,
( join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))) != join(complement(converse(top)),converse(join(one,complement(converse(top)))))
| join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))) != join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))))
| join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))) = join(complement(converse(top)),converse(join(one,complement(converse(top))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))))),bind(Y,$fot(join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))))),bind(Z,$fot(join(complement(converse(top)),converse(join(one,complement(converse(top)))))))]]) ).
cnf(refute_0_2102,plain,
( join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))) != join(complement(converse(top)),converse(join(one,complement(converse(top)))))
| join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))) = join(complement(converse(top)),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))),join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top)))))) )],[refute_0_2100,refute_0_2101]) ).
cnf(refute_0_2103,plain,
join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))) = join(complement(converse(top)),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(converse(join(one,complement(converse(top)))),converse(complement(converse(top))))),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) )],[refute_0_2099,refute_0_2102]) ).
cnf(refute_0_2104,plain,
join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))) = join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))))]]) ).
cnf(refute_0_2105,plain,
( join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))) != join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))))
| join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))) != join(complement(converse(top)),converse(join(one,complement(converse(top)))))
| join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))),join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))))) ),[1,1],$fot(join(complement(converse(top)),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_2106,plain,
( join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))) != join(complement(converse(top)),converse(join(one,complement(converse(top)))))
| join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))),join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))))) )],[refute_0_2104,refute_0_2105]) ).
cnf(refute_0_2107,plain,
join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),
inference(resolve,[$cnf( $equal(join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) )],[refute_0_2103,refute_0_2106]) ).
cnf(refute_0_2108,plain,
join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))) = join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))),
inference(subst,[],[refute_0_147:[bind(A,$fot(complement(one))),bind(B,$fot(join(complement(converse(top)),converse(join(one,complement(converse(top))))))),bind(C,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_2109,plain,
( join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))) != join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))
| join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))) != join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))))
| join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))))),bind(Y,$fot(join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))))),bind(Z,$fot(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))))]]) ).
cnf(refute_0_2110,plain,
( join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))) != join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))
| join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))),join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top)))))) )],[refute_0_2108,refute_0_2109]) ).
cnf(refute_0_2111,plain,
join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(join(complement(converse(top)),converse(join(one,complement(converse(top))))),converse(complement(converse(top))))),join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) )],[refute_0_2107,refute_0_2110]) ).
cnf(refute_0_2112,plain,
( converse(top) != join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top))))
| join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))) != join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))
| converse(top) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) ),[0],$fot(join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))))]]) ).
cnf(refute_0_2113,plain,
( converse(top) != join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top))))
| converse(top) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top)))),join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) )],[refute_0_2111,refute_0_2112]) ).
cnf(refute_0_2114,plain,
converse(top) = join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(complement(converse(top))))) )],[refute_0_2066,refute_0_2113]) ).
cnf(refute_0_2115,plain,
( converse(top) != join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))
| join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))))]]) ).
cnf(refute_0_2116,plain,
join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) )],[refute_0_2114,refute_0_2115]) ).
cnf(refute_0_2117,plain,
( join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))) != converse(top)
| top != join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))
| top = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) ),[1],$fot(converse(top))]]) ).
cnf(refute_0_2118,plain,
( top != join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))
| top = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top)))))),converse(top)) )],[refute_0_2116,refute_0_2117]) ).
cnf(refute_0_2119,plain,
( converse(converse(top)) != join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))
| top = converse(top) ),
inference(resolve,[$cnf( $equal(top,join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) )],[refute_0_2062,refute_0_2118]) ).
cnf(refute_0_2120,plain,
top = converse(top),
inference(resolve,[$cnf( $equal(converse(converse(top)),join(complement(one),join(complement(converse(top)),converse(join(one,complement(converse(top))))))) )],[refute_0_2060,refute_0_2119]) ).
cnf(refute_0_2121,plain,
( top != converse(top)
| converse(top) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(top)))]]) ).
cnf(refute_0_2122,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(top,converse(top)) )],[refute_0_2120,refute_0_2121]) ).
cnf(refute_0_2123,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_2124,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2125,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_2123,refute_0_2124]) ).
cnf(refute_0_2126,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_2125]) ).
cnf(refute_0_2127,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2128,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_2126,refute_0_2127]) ).
cnf(refute_0_2129,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_2128]) ).
cnf(refute_0_2130,plain,
join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) = join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))))]]) ).
cnf(refute_0_2131,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) != join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))
| join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) = join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))),join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2132,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) = join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))),join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))) )],[refute_0_2130,refute_0_2131]) ).
cnf(refute_0_2133,plain,
join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) = join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2129,refute_0_2132]) ).
cnf(refute_0_2134,plain,
( X_41 != join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))
| join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) != join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))
| X_41 = join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))) ),[0],$fot(join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))))]]) ).
cnf(refute_0_2135,plain,
( X_41 != join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))
| X_41 = join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))),join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))) )],[refute_0_2133,refute_0_2134]) ).
cnf(refute_0_2136,plain,
X_41 = join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))),
inference(resolve,[$cnf( $equal(X_41,join(complement(converse(top)),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))) )],[refute_0_1945,refute_0_2135]) ).
cnf(refute_0_2137,plain,
join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) = meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))))]]) ).
cnf(refute_0_2138,plain,
( X_41 != join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))
| join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) != meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))
| X_41 = meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) ),[0],$fot(join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))))]]) ).
cnf(refute_0_2139,plain,
( X_41 != join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))
| X_41 = meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))),meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A)))))) )],[refute_0_2137,refute_0_2138]) ).
cnf(refute_0_2140,plain,
X_41 = meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))),
inference(resolve,[$cnf( $equal(X_41,join(zero,meet(X_41,converse(join(A,complement(join(converse(complement(X_41)),A))))))) )],[refute_0_2136,refute_0_2139]) ).
cnf(refute_0_2141,plain,
X_41 = meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(join(converse(complement(X_41)),converse(composition(complement(converse(converse(complement(X_41)))),top))))))),
inference(subst,[],[refute_0_2140:[bind(A,$fot(converse(composition(complement(converse(converse(complement(X_41)))),top))))]]) ).
cnf(refute_0_2142,plain,
join(X_119,join(converse(complement(converse(X_119))),X_121)) = join(join(X_119,converse(complement(converse(X_119)))),X_121),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_119)),bind(B,$fot(converse(complement(converse(X_119))))),bind(C,$fot(X_121))]]) ).
cnf(refute_0_2143,plain,
( converse(top) != join(X_8,converse(complement(converse(X_8))))
| converse(top) != top
| top = join(X_8,converse(complement(converse(X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_8,converse(complement(converse(X_8))))) ),[0],$fot(top)]]) ).
cnf(refute_0_2144,plain,
( converse(top) != join(X_8,converse(complement(converse(X_8))))
| top = join(X_8,converse(complement(converse(X_8)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_2143]) ).
cnf(refute_0_2145,plain,
top = join(X_8,converse(complement(converse(X_8)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_8,converse(complement(converse(X_8))))) )],[refute_0_676,refute_0_2144]) ).
cnf(refute_0_2146,plain,
top = join(X_119,converse(complement(converse(X_119)))),
inference(subst,[],[refute_0_2145:[bind(X_8,$fot(X_119))]]) ).
cnf(refute_0_2147,plain,
( top != join(X_119,converse(complement(converse(X_119))))
| join(X_119,converse(complement(converse(X_119)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_119,converse(complement(converse(X_119))))))]]) ).
cnf(refute_0_2148,plain,
join(X_119,converse(complement(converse(X_119)))) = top,
inference(resolve,[$cnf( $equal(top,join(X_119,converse(complement(converse(X_119))))) )],[refute_0_2146,refute_0_2147]) ).
cnf(refute_0_2149,plain,
( join(X_119,converse(complement(converse(X_119)))) != top
| join(X_119,join(converse(complement(converse(X_119))),X_121)) != join(join(X_119,converse(complement(converse(X_119)))),X_121)
| join(X_119,join(converse(complement(converse(X_119))),X_121)) = join(top,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_119,join(converse(complement(converse(X_119))),X_121)),join(join(X_119,converse(complement(converse(X_119)))),X_121)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2150,plain,
( join(X_119,join(converse(complement(converse(X_119))),X_121)) != join(join(X_119,converse(complement(converse(X_119)))),X_121)
| join(X_119,join(converse(complement(converse(X_119))),X_121)) = join(top,X_121) ),
inference(resolve,[$cnf( $equal(join(X_119,converse(complement(converse(X_119)))),top) )],[refute_0_2148,refute_0_2149]) ).
cnf(refute_0_2151,plain,
join(X_119,join(converse(complement(converse(X_119))),X_121)) = join(top,X_121),
inference(resolve,[$cnf( $equal(join(X_119,join(converse(complement(converse(X_119))),X_121)),join(join(X_119,converse(complement(converse(X_119)))),X_121)) )],[refute_0_2142,refute_0_2150]) ).
cnf(refute_0_2152,plain,
( join(X_119,join(converse(complement(converse(X_119))),X_121)) != join(top,X_121)
| join(top,X_121) != top
| join(X_119,join(converse(complement(converse(X_119))),X_121)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_119,join(converse(complement(converse(X_119))),X_121)),top) ),[0],$fot(join(top,X_121))]]) ).
cnf(refute_0_2153,plain,
( join(X_119,join(converse(complement(converse(X_119))),X_121)) != join(top,X_121)
| join(X_119,join(converse(complement(converse(X_119))),X_121)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_121),top) )],[refute_0_1172,refute_0_2152]) ).
cnf(refute_0_2154,plain,
join(X_119,join(converse(complement(converse(X_119))),X_121)) = top,
inference(resolve,[$cnf( $equal(join(X_119,join(converse(complement(converse(X_119))),X_121)),join(top,X_121)) )],[refute_0_2151,refute_0_2153]) ).
cnf(refute_0_2155,plain,
join(X_119,join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119)))))) = top,
inference(subst,[],[refute_0_2154:[bind(X_121,$fot(composition(X_150,converse(complement(converse(X_119))))))]]) ).
cnf(refute_0_2156,plain,
composition(join(X_150,one),converse(complement(converse(X_119)))) = join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119))))),
inference(subst,[],[refute_0_57:[bind(X_147,$fot(X_150)),bind(X_149,$fot(converse(complement(converse(X_119)))))]]) ).
cnf(refute_0_2157,plain,
( composition(join(X_150,one),converse(complement(converse(X_119)))) != join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119)))))
| join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119))))) = composition(join(X_150,one),converse(complement(converse(X_119)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_150,one),converse(complement(converse(X_119)))))),bind(Y,$fot(join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119)))))))]]) ).
cnf(refute_0_2158,plain,
join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119))))) = composition(join(X_150,one),converse(complement(converse(X_119)))),
inference(resolve,[$cnf( $equal(composition(join(X_150,one),converse(complement(converse(X_119)))),join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119)))))) )],[refute_0_2156,refute_0_2157]) ).
cnf(refute_0_2159,plain,
( join(X_119,join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119)))))) != top
| join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119))))) != composition(join(X_150,one),converse(complement(converse(X_119))))
| join(X_119,composition(join(X_150,one),converse(complement(converse(X_119))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_119,join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119)))))),top) ),[0,1],$fot(composition(join(X_150,one),converse(complement(converse(X_119)))))]]) ).
cnf(refute_0_2160,plain,
( join(X_119,join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119)))))) != top
| join(X_119,composition(join(X_150,one),converse(complement(converse(X_119))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119))))),composition(join(X_150,one),converse(complement(converse(X_119))))) )],[refute_0_2158,refute_0_2159]) ).
cnf(refute_0_2161,plain,
join(X_119,composition(join(X_150,one),converse(complement(converse(X_119))))) = top,
inference(resolve,[$cnf( $equal(join(X_119,join(converse(complement(converse(X_119))),composition(X_150,converse(complement(converse(X_119)))))),top) )],[refute_0_2155,refute_0_2160]) ).
cnf(refute_0_2162,plain,
join(X_267,composition(join(top,one),converse(complement(converse(X_267))))) = top,
inference(subst,[],[refute_0_2161:[bind(X_119,$fot(X_267)),bind(X_150,$fot(top))]]) ).
cnf(refute_0_2163,plain,
join(top,one) = top,
inference(subst,[],[refute_0_1171:[bind(B,$fot(one))]]) ).
cnf(refute_0_2164,plain,
( join(X_267,composition(join(top,one),converse(complement(converse(X_267))))) != top
| join(top,one) != top
| join(X_267,composition(top,converse(complement(converse(X_267))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_267,composition(join(top,one),converse(complement(converse(X_267))))),top) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_2165,plain,
( join(X_267,composition(join(top,one),converse(complement(converse(X_267))))) != top
| join(X_267,composition(top,converse(complement(converse(X_267))))) = top ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_0_2163,refute_0_2164]) ).
cnf(refute_0_2166,plain,
join(X_267,composition(top,converse(complement(converse(X_267))))) = top,
inference(resolve,[$cnf( $equal(join(X_267,composition(join(top,one),converse(complement(converse(X_267))))),top) )],[refute_0_2162,refute_0_2165]) ).
cnf(refute_0_2167,plain,
converse(composition(A,top)) = composition(converse(top),converse(A)),
inference(subst,[],[converse_multiplicativity_10:[bind(B,$fot(top))]]) ).
cnf(refute_0_2168,plain,
( converse(composition(A,top)) != composition(converse(top),converse(A))
| converse(top) != top
| converse(composition(A,top)) = composition(top,converse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(A,top)),composition(converse(top),converse(A))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2169,plain,
( converse(composition(A,top)) != composition(converse(top),converse(A))
| converse(composition(A,top)) = composition(top,converse(A)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_2168]) ).
cnf(refute_0_2170,plain,
converse(composition(A,top)) = composition(top,converse(A)),
inference(resolve,[$cnf( $equal(converse(composition(A,top)),composition(converse(top),converse(A))) )],[refute_0_2167,refute_0_2169]) ).
cnf(refute_0_2171,plain,
( converse(composition(A,top)) != composition(top,converse(A))
| composition(top,converse(A)) = converse(composition(A,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(A,top)))),bind(Y,$fot(composition(top,converse(A))))]]) ).
cnf(refute_0_2172,plain,
composition(top,converse(A)) = converse(composition(A,top)),
inference(resolve,[$cnf( $equal(converse(composition(A,top)),composition(top,converse(A))) )],[refute_0_2170,refute_0_2171]) ).
cnf(refute_0_2173,plain,
composition(top,converse(complement(converse(X_267)))) = converse(composition(complement(converse(X_267)),top)),
inference(subst,[],[refute_0_2172:[bind(A,$fot(complement(converse(X_267))))]]) ).
cnf(refute_0_2174,plain,
join(X_267,composition(top,converse(complement(converse(X_267))))) = join(X_267,composition(top,converse(complement(converse(X_267))))),
introduced(tautology,[refl,[$fot(join(X_267,composition(top,converse(complement(converse(X_267))))))]]) ).
cnf(refute_0_2175,plain,
( composition(top,converse(complement(converse(X_267)))) != converse(composition(complement(converse(X_267)),top))
| join(X_267,composition(top,converse(complement(converse(X_267))))) != join(X_267,composition(top,converse(complement(converse(X_267)))))
| join(X_267,composition(top,converse(complement(converse(X_267))))) = join(X_267,converse(composition(complement(converse(X_267)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_267,composition(top,converse(complement(converse(X_267))))),join(X_267,composition(top,converse(complement(converse(X_267)))))) ),[1,1],$fot(converse(composition(complement(converse(X_267)),top)))]]) ).
cnf(refute_0_2176,plain,
( composition(top,converse(complement(converse(X_267)))) != converse(composition(complement(converse(X_267)),top))
| join(X_267,composition(top,converse(complement(converse(X_267))))) = join(X_267,converse(composition(complement(converse(X_267)),top))) ),
inference(resolve,[$cnf( $equal(join(X_267,composition(top,converse(complement(converse(X_267))))),join(X_267,composition(top,converse(complement(converse(X_267)))))) )],[refute_0_2174,refute_0_2175]) ).
cnf(refute_0_2177,plain,
join(X_267,composition(top,converse(complement(converse(X_267))))) = join(X_267,converse(composition(complement(converse(X_267)),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(complement(converse(X_267)))),converse(composition(complement(converse(X_267)),top))) )],[refute_0_2173,refute_0_2176]) ).
cnf(refute_0_2178,plain,
( join(X_267,composition(top,converse(complement(converse(X_267))))) != join(X_267,converse(composition(complement(converse(X_267)),top)))
| join(X_267,composition(top,converse(complement(converse(X_267))))) != top
| join(X_267,converse(composition(complement(converse(X_267)),top))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_267,composition(top,converse(complement(converse(X_267))))),top) ),[0],$fot(join(X_267,converse(composition(complement(converse(X_267)),top))))]]) ).
cnf(refute_0_2179,plain,
( join(X_267,composition(top,converse(complement(converse(X_267))))) != top
| join(X_267,converse(composition(complement(converse(X_267)),top))) = top ),
inference(resolve,[$cnf( $equal(join(X_267,composition(top,converse(complement(converse(X_267))))),join(X_267,converse(composition(complement(converse(X_267)),top)))) )],[refute_0_2177,refute_0_2178]) ).
cnf(refute_0_2180,plain,
join(X_267,converse(composition(complement(converse(X_267)),top))) = top,
inference(resolve,[$cnf( $equal(join(X_267,composition(top,converse(complement(converse(X_267))))),top) )],[refute_0_2166,refute_0_2179]) ).
cnf(refute_0_2181,plain,
join(converse(complement(X_41)),converse(composition(complement(converse(converse(complement(X_41)))),top))) = top,
inference(subst,[],[refute_0_2180:[bind(X_267,$fot(converse(complement(X_41))))]]) ).
cnf(refute_0_2182,plain,
( X_41 != meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(join(converse(complement(X_41)),converse(composition(complement(converse(converse(complement(X_41)))),top)))))))
| join(converse(complement(X_41)),converse(composition(complement(converse(converse(complement(X_41)))),top))) != top
| X_41 = meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(join(converse(complement(X_41)),converse(composition(complement(converse(converse(complement(X_41)))),top)))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_2183,plain,
( X_41 != meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(join(converse(complement(X_41)),converse(composition(complement(converse(converse(complement(X_41)))),top)))))))
| X_41 = meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X_41)),converse(composition(complement(converse(converse(complement(X_41)))),top))),top) )],[refute_0_2181,refute_0_2182]) ).
cnf(refute_0_2184,plain,
X_41 = meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))),
inference(resolve,[$cnf( $equal(X_41,meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(join(converse(complement(X_41)),converse(composition(complement(converse(converse(complement(X_41)))),top)))))))) )],[refute_0_2141,refute_0_2183]) ).
cnf(refute_0_2185,plain,
join(zero,composition(X_41,top)) = composition(X_41,top),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(composition(X_41,top)))]]) ).
cnf(refute_0_2186,plain,
converse(converse(complement(X_41))) = complement(X_41),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(X_41)))]]) ).
cnf(refute_0_2187,plain,
complement(converse(converse(complement(X_41)))) = complement(converse(converse(complement(X_41)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(complement(X_41)))))]]) ).
cnf(refute_0_2188,plain,
( complement(converse(converse(complement(X_41)))) != complement(converse(converse(complement(X_41))))
| converse(converse(complement(X_41))) != complement(X_41)
| complement(converse(converse(complement(X_41)))) = complement(complement(X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(complement(X_41)))),complement(converse(converse(complement(X_41))))) ),[1,0],$fot(complement(X_41))]]) ).
cnf(refute_0_2189,plain,
( converse(converse(complement(X_41))) != complement(X_41)
| complement(converse(converse(complement(X_41)))) = complement(complement(X_41)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(X_41)))),complement(converse(converse(complement(X_41))))) )],[refute_0_2187,refute_0_2188]) ).
cnf(refute_0_2190,plain,
complement(converse(converse(complement(X_41)))) = complement(complement(X_41)),
inference(resolve,[$cnf( $equal(converse(converse(complement(X_41))),complement(X_41)) )],[refute_0_2186,refute_0_2189]) ).
cnf(refute_0_2191,plain,
( complement(complement(X_41)) != X_41
| complement(converse(converse(complement(X_41)))) != complement(complement(X_41))
| complement(converse(converse(complement(X_41)))) = X_41 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(converse(converse(complement(X_41)))))),bind(Y,$fot(complement(complement(X_41)))),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_2192,plain,
( complement(complement(X_41)) != X_41
| complement(converse(converse(complement(X_41)))) = X_41 ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(X_41)))),complement(complement(X_41))) )],[refute_0_2190,refute_0_2191]) ).
cnf(refute_0_2193,plain,
complement(converse(converse(complement(X_41)))) = X_41,
inference(resolve,[$cnf( $equal(complement(complement(X_41)),X_41) )],[refute_0_1181,refute_0_2192]) ).
cnf(refute_0_2194,plain,
composition(complement(converse(converse(complement(X_41)))),top) = composition(complement(converse(converse(complement(X_41)))),top),
introduced(tautology,[refl,[$fot(composition(complement(converse(converse(complement(X_41)))),top))]]) ).
cnf(refute_0_2195,plain,
( complement(converse(converse(complement(X_41)))) != X_41
| composition(complement(converse(converse(complement(X_41)))),top) != composition(complement(converse(converse(complement(X_41)))),top)
| composition(complement(converse(converse(complement(X_41)))),top) = composition(X_41,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(converse(complement(X_41)))),top),composition(complement(converse(converse(complement(X_41)))),top)) ),[1,0],$fot(X_41)]]) ).
cnf(refute_0_2196,plain,
( complement(converse(converse(complement(X_41)))) != X_41
| composition(complement(converse(converse(complement(X_41)))),top) = composition(X_41,top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(converse(complement(X_41)))),top),composition(complement(converse(converse(complement(X_41)))),top)) )],[refute_0_2194,refute_0_2195]) ).
cnf(refute_0_2197,plain,
composition(complement(converse(converse(complement(X_41)))),top) = composition(X_41,top),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(X_41)))),X_41) )],[refute_0_2193,refute_0_2196]) ).
cnf(refute_0_2198,plain,
join(zero,composition(complement(converse(converse(complement(X_41)))),top)) = join(zero,composition(complement(converse(converse(complement(X_41)))),top)),
introduced(tautology,[refl,[$fot(join(zero,composition(complement(converse(converse(complement(X_41)))),top)))]]) ).
cnf(refute_0_2199,plain,
( composition(complement(converse(converse(complement(X_41)))),top) != composition(X_41,top)
| join(zero,composition(complement(converse(converse(complement(X_41)))),top)) != join(zero,composition(complement(converse(converse(complement(X_41)))),top))
| join(zero,composition(complement(converse(converse(complement(X_41)))),top)) = join(zero,composition(X_41,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(complement(converse(converse(complement(X_41)))),top)),join(zero,composition(complement(converse(converse(complement(X_41)))),top))) ),[1,1],$fot(composition(X_41,top))]]) ).
cnf(refute_0_2200,plain,
( composition(complement(converse(converse(complement(X_41)))),top) != composition(X_41,top)
| join(zero,composition(complement(converse(converse(complement(X_41)))),top)) = join(zero,composition(X_41,top)) ),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(converse(converse(complement(X_41)))),top)),join(zero,composition(complement(converse(converse(complement(X_41)))),top))) )],[refute_0_2198,refute_0_2199]) ).
cnf(refute_0_2201,plain,
join(zero,composition(complement(converse(converse(complement(X_41)))),top)) = join(zero,composition(X_41,top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(converse(complement(X_41)))),top),composition(X_41,top)) )],[refute_0_2197,refute_0_2200]) ).
cnf(refute_0_2202,plain,
converse(zero) = join(zero,meet(converse(zero),complement(complement(converse(zero))))),
inference(subst,[],[refute_0_277:[bind(X_41,$fot(converse(zero)))]]) ).
cnf(refute_0_2203,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2204,plain,
converse(complement(converse(zero))) = join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero))))))),
inference(subst,[],[refute_0_601:[bind(X_47,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2205,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_540:[bind(X_42,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2206,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_676:[bind(X_8,$fot(zero))]]) ).
cnf(refute_0_2207,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2208,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_2206,refute_0_2207]) ).
cnf(refute_0_2209,plain,
( join(zero,converse(complement(converse(zero)))) != converse(top)
| top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_2210,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_2208,refute_0_2209]) ).
cnf(refute_0_2211,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) )],[refute_0_2205,refute_0_2210]) ).
cnf(refute_0_2212,plain,
join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(converse(top)))),bind(B,$fot(meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2213,plain,
( join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) ),[1],$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2214,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_2212,refute_0_2213]) ).
cnf(refute_0_2215,plain,
top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) )],[refute_0_2211,refute_0_2214]) ).
cnf(refute_0_2216,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2217,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2218,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_2216,refute_0_2217]) ).
cnf(refute_0_2219,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2129,refute_0_2218]) ).
cnf(refute_0_2220,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(zero,meet(top,converse(complement(converse(zero)))))
| top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1],$fot(join(zero,meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_2221,plain,
( top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_2219,refute_0_2220]) ).
cnf(refute_0_2222,plain,
top = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_2215,refute_0_2221]) ).
cnf(refute_0_2223,plain,
( top != join(zero,meet(top,converse(complement(converse(zero)))))
| join(zero,meet(top,converse(complement(converse(zero))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,converse(complement(converse(zero)))))))]]) ).
cnf(refute_0_2224,plain,
join(zero,meet(top,converse(complement(converse(zero))))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_2222,refute_0_2223]) ).
cnf(refute_0_2225,plain,
( converse(complement(converse(zero))) != join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero)))))))
| join(zero,meet(top,converse(complement(converse(zero))))) != top
| converse(complement(converse(zero))) = join(zero,meet(converse(complement(converse(zero))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(zero))),join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero)))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_2226,plain,
( converse(complement(converse(zero))) != join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero)))))))
| converse(complement(converse(zero))) = join(zero,meet(converse(complement(converse(zero))),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),top) )],[refute_0_2224,refute_0_2225]) ).
cnf(refute_0_2227,plain,
converse(complement(converse(zero))) = join(zero,meet(converse(complement(converse(zero))),top)),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero)))))))) )],[refute_0_2204,refute_0_2226]) ).
cnf(refute_0_2228,plain,
meet(converse(complement(converse(zero))),top) = meet(top,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_652:[bind(A,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2229,plain,
join(zero,meet(converse(complement(converse(zero))),top)) = join(zero,meet(converse(complement(converse(zero))),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(complement(converse(zero))),top)))]]) ).
cnf(refute_0_2230,plain,
( join(zero,meet(converse(complement(converse(zero))),top)) != join(zero,meet(converse(complement(converse(zero))),top))
| meet(converse(complement(converse(zero))),top) != meet(top,converse(complement(converse(zero))))
| join(zero,meet(converse(complement(converse(zero))),top)) = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(complement(converse(zero))),top)),join(zero,meet(converse(complement(converse(zero))),top))) ),[1,1],$fot(meet(top,converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2231,plain,
( meet(converse(complement(converse(zero))),top) != meet(top,converse(complement(converse(zero))))
| join(zero,meet(converse(complement(converse(zero))),top)) = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(converse(zero))),top)),join(zero,meet(converse(complement(converse(zero))),top))) )],[refute_0_2229,refute_0_2230]) ).
cnf(refute_0_2232,plain,
join(zero,meet(converse(complement(converse(zero))),top)) = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(zero))),top),meet(top,converse(complement(converse(zero))))) )],[refute_0_2228,refute_0_2231]) ).
cnf(refute_0_2233,plain,
( join(zero,meet(converse(complement(converse(zero))),top)) != join(zero,meet(top,converse(complement(converse(zero)))))
| join(zero,meet(top,converse(complement(converse(zero))))) != top
| join(zero,meet(converse(complement(converse(zero))),top)) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,meet(converse(complement(converse(zero))),top)))),bind(Y,$fot(join(zero,meet(top,converse(complement(converse(zero))))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2234,plain,
( join(zero,meet(top,converse(complement(converse(zero))))) != top
| join(zero,meet(converse(complement(converse(zero))),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(converse(zero))),top)),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_2232,refute_0_2233]) ).
cnf(refute_0_2235,plain,
join(zero,meet(converse(complement(converse(zero))),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),top) )],[refute_0_2224,refute_0_2234]) ).
cnf(refute_0_2236,plain,
( converse(complement(converse(zero))) != join(zero,meet(converse(complement(converse(zero))),top))
| join(zero,meet(converse(complement(converse(zero))),top)) != top
| converse(complement(converse(zero))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(zero))),top) ),[0],$fot(join(zero,meet(converse(complement(converse(zero))),top)))]]) ).
cnf(refute_0_2237,plain,
( converse(complement(converse(zero))) != join(zero,meet(converse(complement(converse(zero))),top))
| converse(complement(converse(zero))) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(converse(zero))),top)),top) )],[refute_0_2235,refute_0_2236]) ).
cnf(refute_0_2238,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),join(zero,meet(converse(complement(converse(zero))),top))) )],[refute_0_2227,refute_0_2237]) ).
cnf(refute_0_2239,plain,
( converse(complement(converse(zero))) != top
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2240,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_2238,refute_0_2239]) ).
cnf(refute_0_2241,plain,
converse(top) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_2203,refute_0_2240]) ).
cnf(refute_0_2242,plain,
( converse(top) != complement(converse(zero))
| converse(top) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_2243,plain,
( converse(top) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_2242]) ).
cnf(refute_0_2244,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(top),complement(converse(zero))) )],[refute_0_2241,refute_0_2243]) ).
cnf(refute_0_2245,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2246,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_2244,refute_0_2245]) ).
cnf(refute_0_2247,plain,
( complement(converse(zero)) != top
| converse(zero) != join(zero,meet(converse(zero),complement(complement(converse(zero)))))
| converse(zero) = join(zero,meet(converse(zero),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),complement(complement(converse(zero)))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_2248,plain,
( converse(zero) != join(zero,meet(converse(zero),complement(complement(converse(zero)))))
| converse(zero) = join(zero,meet(converse(zero),complement(top))) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2246,refute_0_2247]) ).
cnf(refute_0_2249,plain,
converse(zero) = join(zero,meet(converse(zero),complement(top))),
inference(resolve,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),complement(complement(converse(zero)))))) )],[refute_0_2202,refute_0_2248]) ).
cnf(refute_0_2250,plain,
zero = join(meet(zero,converse(zero)),complement(join(top,converse(zero)))),
inference(subst,[],[refute_0_1017:[bind(B,$fot(converse(zero)))]]) ).
cnf(refute_0_2251,plain,
converse(join(converse(top),zero)) = converse(join(zero,converse(top))),
inference(subst,[],[refute_0_722:[bind(A,$fot(converse(top))),bind(B,$fot(zero))]]) ).
cnf(refute_0_2252,plain,
join(join(zero,converse(complement(converse(top)))),top) = join(top,join(zero,converse(complement(converse(top))))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(zero,converse(complement(converse(top)))))),bind(B,$fot(top))]]) ).
cnf(refute_0_2253,plain,
converse(top) = join(top,join(converse(complement(converse(top))),complement(top))),
inference(subst,[],[refute_0_1987:[bind(X_30,$fot(top))]]) ).
cnf(refute_0_2254,plain,
( complement(top) != zero
| converse(top) != join(top,join(converse(complement(converse(top))),complement(top)))
| converse(top) = join(top,join(converse(complement(converse(top))),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(top,join(converse(complement(converse(top))),complement(top)))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_2255,plain,
( converse(top) != join(top,join(converse(complement(converse(top))),complement(top)))
| converse(top) = join(top,join(converse(complement(converse(top))),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_2254]) ).
cnf(refute_0_2256,plain,
converse(top) = join(top,join(converse(complement(converse(top))),zero)),
inference(resolve,[$cnf( $equal(converse(top),join(top,join(converse(complement(converse(top))),complement(top)))) )],[refute_0_2253,refute_0_2255]) ).
cnf(refute_0_2257,plain,
join(converse(complement(converse(top))),zero) = join(zero,converse(complement(converse(top)))),
inference(subst,[],[refute_0_53:[bind(A,$fot(zero)),bind(B,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_2258,plain,
join(top,join(converse(complement(converse(top))),zero)) = join(top,join(converse(complement(converse(top))),zero)),
introduced(tautology,[refl,[$fot(join(top,join(converse(complement(converse(top))),zero)))]]) ).
cnf(refute_0_2259,plain,
( join(converse(complement(converse(top))),zero) != join(zero,converse(complement(converse(top))))
| join(top,join(converse(complement(converse(top))),zero)) != join(top,join(converse(complement(converse(top))),zero))
| join(top,join(converse(complement(converse(top))),zero)) = join(top,join(zero,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(complement(converse(top))),zero)),join(top,join(converse(complement(converse(top))),zero))) ),[1,1],$fot(join(zero,converse(complement(converse(top)))))]]) ).
cnf(refute_0_2260,plain,
( join(converse(complement(converse(top))),zero) != join(zero,converse(complement(converse(top))))
| join(top,join(converse(complement(converse(top))),zero)) = join(top,join(zero,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),zero)),join(top,join(converse(complement(converse(top))),zero))) )],[refute_0_2258,refute_0_2259]) ).
cnf(refute_0_2261,plain,
join(top,join(converse(complement(converse(top))),zero)) = join(top,join(zero,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),zero),join(zero,converse(complement(converse(top))))) )],[refute_0_2257,refute_0_2260]) ).
cnf(refute_0_2262,plain,
( converse(top) != join(top,join(converse(complement(converse(top))),zero))
| join(top,join(converse(complement(converse(top))),zero)) != join(top,join(zero,converse(complement(converse(top)))))
| converse(top) = join(top,join(zero,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(top,join(zero,converse(complement(converse(top)))))) ),[0],$fot(join(top,join(converse(complement(converse(top))),zero)))]]) ).
cnf(refute_0_2263,plain,
( converse(top) != join(top,join(converse(complement(converse(top))),zero))
| converse(top) = join(top,join(zero,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(complement(converse(top))),zero)),join(top,join(zero,converse(complement(converse(top)))))) )],[refute_0_2261,refute_0_2262]) ).
cnf(refute_0_2264,plain,
converse(top) = join(top,join(zero,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(top),join(top,join(converse(complement(converse(top))),zero))) )],[refute_0_2256,refute_0_2263]) ).
cnf(refute_0_2265,plain,
( converse(top) != join(top,join(zero,converse(complement(converse(top)))))
| join(top,join(zero,converse(complement(converse(top))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,join(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_0_2266,plain,
join(top,join(zero,converse(complement(converse(top))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(top,join(zero,converse(complement(converse(top)))))) )],[refute_0_2264,refute_0_2265]) ).
cnf(refute_0_2267,plain,
( join(join(zero,converse(complement(converse(top)))),top) != join(top,join(zero,converse(complement(converse(top)))))
| join(top,join(zero,converse(complement(converse(top))))) != converse(top)
| join(join(zero,converse(complement(converse(top)))),top) = converse(top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(zero,converse(complement(converse(top)))),top),converse(top)) ),[0],$fot(join(top,join(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_2268,plain,
( join(join(zero,converse(complement(converse(top)))),top) != join(top,join(zero,converse(complement(converse(top)))))
| join(join(zero,converse(complement(converse(top)))),top) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,join(zero,converse(complement(converse(top))))),converse(top)) )],[refute_0_2266,refute_0_2267]) ).
cnf(refute_0_2269,plain,
join(join(zero,converse(complement(converse(top)))),top) = converse(top),
inference(resolve,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),join(top,join(zero,converse(complement(converse(top)))))) )],[refute_0_2252,refute_0_2268]) ).
cnf(refute_0_2270,plain,
( converse(top) != join(X_8,converse(complement(converse(X_8))))
| join(X_8,converse(complement(converse(X_8)))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_8,converse(complement(converse(X_8))))))]]) ).
cnf(refute_0_2271,plain,
join(X_8,converse(complement(converse(X_8)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_8,converse(complement(converse(X_8))))) )],[refute_0_676,refute_0_2270]) ).
cnf(refute_0_2272,plain,
join(top,converse(complement(converse(top)))) = converse(top),
inference(subst,[],[refute_0_2271:[bind(X_8,$fot(top))]]) ).
cnf(refute_0_2273,plain,
join(converse(complement(converse(top))),top) = join(top,converse(complement(converse(top)))),
inference(subst,[],[refute_0_53:[bind(A,$fot(top)),bind(B,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_2274,plain,
( join(converse(complement(converse(top))),top) != join(top,converse(complement(converse(top))))
| join(top,converse(complement(converse(top)))) != converse(top)
| join(converse(complement(converse(top))),top) = converse(top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(complement(converse(top))),top))),bind(Y,$fot(join(top,converse(complement(converse(top)))))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_2275,plain,
( join(top,converse(complement(converse(top)))) != converse(top)
| join(converse(complement(converse(top))),top) = converse(top) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),top),join(top,converse(complement(converse(top))))) )],[refute_0_2273,refute_0_2274]) ).
cnf(refute_0_2276,plain,
join(converse(complement(converse(top))),top) = converse(top),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(top)))),converse(top)) )],[refute_0_2272,refute_0_2275]) ).
cnf(refute_0_2277,plain,
join(zero,join(converse(complement(converse(top))),top)) = join(zero,join(converse(complement(converse(top))),top)),
introduced(tautology,[refl,[$fot(join(zero,join(converse(complement(converse(top))),top)))]]) ).
cnf(refute_0_2278,plain,
( join(converse(complement(converse(top))),top) != converse(top)
| join(zero,join(converse(complement(converse(top))),top)) != join(zero,join(converse(complement(converse(top))),top))
| join(zero,join(converse(complement(converse(top))),top)) = join(zero,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),top)),join(zero,join(converse(complement(converse(top))),top))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_0_2279,plain,
( join(converse(complement(converse(top))),top) != converse(top)
| join(zero,join(converse(complement(converse(top))),top)) = join(zero,converse(top)) ),
inference(resolve,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),top)),join(zero,join(converse(complement(converse(top))),top))) )],[refute_0_2277,refute_0_2278]) ).
cnf(refute_0_2280,plain,
join(zero,join(converse(complement(converse(top))),top)) = join(zero,converse(top)),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),top),converse(top)) )],[refute_0_2276,refute_0_2279]) ).
cnf(refute_0_2281,plain,
join(join(zero,converse(complement(converse(top)))),top) = join(zero,join(converse(complement(converse(top))),top)),
inference(subst,[],[refute_0_147:[bind(A,$fot(zero)),bind(B,$fot(converse(complement(converse(top))))),bind(C,$fot(top))]]) ).
cnf(refute_0_2282,plain,
( join(join(zero,converse(complement(converse(top)))),top) != join(zero,join(converse(complement(converse(top))),top))
| join(zero,join(converse(complement(converse(top))),top)) != join(zero,converse(top))
| join(join(zero,converse(complement(converse(top)))),top) = join(zero,converse(top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(zero,converse(complement(converse(top)))),top))),bind(Y,$fot(join(zero,join(converse(complement(converse(top))),top)))),bind(Z,$fot(join(zero,converse(top))))]]) ).
cnf(refute_0_2283,plain,
( join(zero,join(converse(complement(converse(top))),top)) != join(zero,converse(top))
| join(join(zero,converse(complement(converse(top)))),top) = join(zero,converse(top)) ),
inference(resolve,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),join(zero,join(converse(complement(converse(top))),top))) )],[refute_0_2281,refute_0_2282]) ).
cnf(refute_0_2284,plain,
join(join(zero,converse(complement(converse(top)))),top) = join(zero,converse(top)),
inference(resolve,[$cnf( $equal(join(zero,join(converse(complement(converse(top))),top)),join(zero,converse(top))) )],[refute_0_2280,refute_0_2283]) ).
cnf(refute_0_2285,plain,
( join(join(zero,converse(complement(converse(top)))),top) != converse(top)
| join(join(zero,converse(complement(converse(top)))),top) != join(zero,converse(top))
| join(zero,converse(top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),converse(top)) ),[0],$fot(join(zero,converse(top)))]]) ).
cnf(refute_0_2286,plain,
( join(join(zero,converse(complement(converse(top)))),top) != converse(top)
| join(zero,converse(top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),join(zero,converse(top))) )],[refute_0_2284,refute_0_2285]) ).
cnf(refute_0_2287,plain,
join(zero,converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(join(join(zero,converse(complement(converse(top)))),top),converse(top)) )],[refute_0_2269,refute_0_2286]) ).
cnf(refute_0_2288,plain,
( converse(join(converse(top),zero)) != converse(join(zero,converse(top)))
| join(zero,converse(top)) != converse(top)
| converse(join(converse(top),zero)) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),zero)),converse(join(zero,converse(top)))) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_2289,plain,
( converse(join(converse(top),zero)) != converse(join(zero,converse(top)))
| converse(join(converse(top),zero)) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(join(zero,converse(top)),converse(top)) )],[refute_0_2287,refute_0_2288]) ).
cnf(refute_0_2290,plain,
converse(join(converse(top),zero)) = converse(converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(top),zero)),converse(join(zero,converse(top)))) )],[refute_0_2251,refute_0_2289]) ).
cnf(refute_0_2291,plain,
join(converse(zero),top) = join(top,converse(zero)),
inference(subst,[],[refute_0_53:[bind(A,$fot(top)),bind(B,$fot(converse(zero)))]]) ).
cnf(refute_0_2292,plain,
converse(join(zero,converse(top))) = join(converse(zero),top),
inference(subst,[],[refute_0_128:[bind(A,$fot(top)),bind(X_4,$fot(zero))]]) ).
cnf(refute_0_2293,plain,
( converse(join(zero,converse(top))) != join(converse(zero),top)
| join(converse(zero),top) != join(top,converse(zero))
| converse(join(zero,converse(top))) = join(top,converse(zero)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(zero,converse(top))))),bind(Y,$fot(join(converse(zero),top))),bind(Z,$fot(join(top,converse(zero))))]]) ).
cnf(refute_0_2294,plain,
( join(converse(zero),top) != join(top,converse(zero))
| converse(join(zero,converse(top))) = join(top,converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(join(zero,converse(top))),join(converse(zero),top)) )],[refute_0_2292,refute_0_2293]) ).
cnf(refute_0_2295,plain,
converse(join(zero,converse(top))) = join(top,converse(zero)),
inference(resolve,[$cnf( $equal(join(converse(zero),top),join(top,converse(zero))) )],[refute_0_2291,refute_0_2294]) ).
cnf(refute_0_2296,plain,
( converse(join(converse(top),zero)) != converse(join(zero,converse(top)))
| converse(join(zero,converse(top))) != join(top,converse(zero))
| converse(join(converse(top),zero)) = join(top,converse(zero)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(converse(top),zero)))),bind(Y,$fot(converse(join(zero,converse(top))))),bind(Z,$fot(join(top,converse(zero))))]]) ).
cnf(refute_0_2297,plain,
( converse(join(zero,converse(top))) != join(top,converse(zero))
| converse(join(converse(top),zero)) = join(top,converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),zero)),converse(join(zero,converse(top)))) )],[refute_0_2251,refute_0_2296]) ).
cnf(refute_0_2298,plain,
converse(join(converse(top),zero)) = join(top,converse(zero)),
inference(resolve,[$cnf( $equal(converse(join(zero,converse(top))),join(top,converse(zero))) )],[refute_0_2295,refute_0_2297]) ).
cnf(refute_0_2299,plain,
( converse(join(converse(top),zero)) != converse(converse(top))
| converse(join(converse(top),zero)) != join(top,converse(zero))
| join(top,converse(zero)) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),zero)),converse(converse(top))) ),[0],$fot(join(top,converse(zero)))]]) ).
cnf(refute_0_2300,plain,
( converse(join(converse(top),zero)) != converse(converse(top))
| join(top,converse(zero)) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),zero)),join(top,converse(zero))) )],[refute_0_2298,refute_0_2299]) ).
cnf(refute_0_2301,plain,
( converse(converse(top)) != top
| join(top,converse(zero)) != converse(converse(top))
| join(top,converse(zero)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(zero)),converse(converse(top))) ),[1],$fot(top)]]) ).
cnf(refute_0_2302,plain,
( join(top,converse(zero)) != converse(converse(top))
| join(top,converse(zero)) = top ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_745,refute_0_2301]) ).
cnf(refute_0_2303,plain,
( converse(join(converse(top),zero)) != converse(converse(top))
| join(top,converse(zero)) = top ),
inference(resolve,[$cnf( $equal(join(top,converse(zero)),converse(converse(top))) )],[refute_0_2300,refute_0_2302]) ).
cnf(refute_0_2304,plain,
join(top,converse(zero)) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(top),zero)),converse(converse(top))) )],[refute_0_2290,refute_0_2303]) ).
cnf(refute_0_2305,plain,
( join(top,converse(zero)) != top
| zero != join(meet(zero,converse(zero)),complement(join(top,converse(zero))))
| zero = join(meet(zero,converse(zero)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,converse(zero)),complement(join(top,converse(zero))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_2306,plain,
( zero != join(meet(zero,converse(zero)),complement(join(top,converse(zero))))
| zero = join(meet(zero,converse(zero)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(top,converse(zero)),top) )],[refute_0_2304,refute_0_2305]) ).
cnf(refute_0_2307,plain,
zero = join(meet(zero,converse(zero)),complement(top)),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,converse(zero)),complement(join(top,converse(zero))))) )],[refute_0_2250,refute_0_2306]) ).
cnf(refute_0_2308,plain,
join(complement(top),meet(zero,converse(zero))) = join(complement(top),meet(zero,converse(zero))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(zero,converse(zero))))]]) ).
cnf(refute_0_2309,plain,
( complement(top) != zero
| join(complement(top),meet(zero,converse(zero))) != join(complement(top),meet(zero,converse(zero)))
| join(complement(top),meet(zero,converse(zero))) = join(zero,meet(zero,converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(zero,converse(zero))),join(complement(top),meet(zero,converse(zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2310,plain,
( complement(top) != zero
| join(complement(top),meet(zero,converse(zero))) = join(zero,meet(zero,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(zero,converse(zero))),join(complement(top),meet(zero,converse(zero)))) )],[refute_0_2308,refute_0_2309]) ).
cnf(refute_0_2311,plain,
join(complement(top),meet(zero,converse(zero))) = join(zero,meet(zero,converse(zero))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_2310]) ).
cnf(refute_0_2312,plain,
join(meet(zero,converse(zero)),complement(top)) = join(complement(top),meet(zero,converse(zero))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(top))),bind(B,$fot(meet(zero,converse(zero))))]]) ).
cnf(refute_0_2313,plain,
( join(complement(top),meet(zero,converse(zero))) != join(zero,meet(zero,converse(zero)))
| join(meet(zero,converse(zero)),complement(top)) != join(complement(top),meet(zero,converse(zero)))
| join(meet(zero,converse(zero)),complement(top)) = join(zero,meet(zero,converse(zero))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(zero,converse(zero)),complement(top)))),bind(Y,$fot(join(complement(top),meet(zero,converse(zero))))),bind(Z,$fot(join(zero,meet(zero,converse(zero)))))]]) ).
cnf(refute_0_2314,plain,
( join(complement(top),meet(zero,converse(zero))) != join(zero,meet(zero,converse(zero)))
| join(meet(zero,converse(zero)),complement(top)) = join(zero,meet(zero,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,converse(zero)),complement(top)),join(complement(top),meet(zero,converse(zero)))) )],[refute_0_2312,refute_0_2313]) ).
cnf(refute_0_2315,plain,
join(meet(zero,converse(zero)),complement(top)) = join(zero,meet(zero,converse(zero))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(zero,converse(zero))),join(zero,meet(zero,converse(zero)))) )],[refute_0_2311,refute_0_2314]) ).
cnf(refute_0_2316,plain,
( join(meet(zero,converse(zero)),complement(top)) != join(zero,meet(zero,converse(zero)))
| zero != join(meet(zero,converse(zero)),complement(top))
| zero = join(zero,meet(zero,converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,converse(zero)),complement(top))) ),[1],$fot(join(zero,meet(zero,converse(zero))))]]) ).
cnf(refute_0_2317,plain,
( zero != join(meet(zero,converse(zero)),complement(top))
| zero = join(zero,meet(zero,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,converse(zero)),complement(top)),join(zero,meet(zero,converse(zero)))) )],[refute_0_2315,refute_0_2316]) ).
cnf(refute_0_2318,plain,
zero = join(zero,meet(zero,converse(zero))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,converse(zero)),complement(top))) )],[refute_0_2307,refute_0_2317]) ).
cnf(refute_0_2319,plain,
( zero != join(zero,meet(zero,converse(zero)))
| join(zero,meet(zero,converse(zero))) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,meet(zero,converse(zero)))))]]) ).
cnf(refute_0_2320,plain,
join(zero,meet(zero,converse(zero))) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,meet(zero,converse(zero)))) )],[refute_0_2318,refute_0_2319]) ).
cnf(refute_0_2321,plain,
meet(complement(top),converse(zero)) = meet(complement(top),converse(zero)),
introduced(tautology,[refl,[$fot(meet(complement(top),converse(zero)))]]) ).
cnf(refute_0_2322,plain,
( complement(top) != zero
| meet(complement(top),converse(zero)) != meet(complement(top),converse(zero))
| meet(complement(top),converse(zero)) = meet(zero,converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(top),converse(zero)),meet(complement(top),converse(zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2323,plain,
( complement(top) != zero
| meet(complement(top),converse(zero)) = meet(zero,converse(zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(top),converse(zero)),meet(complement(top),converse(zero))) )],[refute_0_2321,refute_0_2322]) ).
cnf(refute_0_2324,plain,
meet(complement(top),converse(zero)) = meet(zero,converse(zero)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_2323]) ).
cnf(refute_0_2325,plain,
meet(converse(zero),complement(top)) = meet(complement(top),converse(zero)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(complement(top))),bind(X_16,$fot(converse(zero)))]]) ).
cnf(refute_0_2326,plain,
( meet(complement(top),converse(zero)) != meet(zero,converse(zero))
| meet(converse(zero),complement(top)) != meet(complement(top),converse(zero))
| meet(converse(zero),complement(top)) = meet(zero,converse(zero)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(converse(zero),complement(top)))),bind(Y,$fot(meet(complement(top),converse(zero)))),bind(Z,$fot(meet(zero,converse(zero))))]]) ).
cnf(refute_0_2327,plain,
( meet(complement(top),converse(zero)) != meet(zero,converse(zero))
| meet(converse(zero),complement(top)) = meet(zero,converse(zero)) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),complement(top)),meet(complement(top),converse(zero))) )],[refute_0_2325,refute_0_2326]) ).
cnf(refute_0_2328,plain,
meet(converse(zero),complement(top)) = meet(zero,converse(zero)),
inference(resolve,[$cnf( $equal(meet(complement(top),converse(zero)),meet(zero,converse(zero))) )],[refute_0_2324,refute_0_2327]) ).
cnf(refute_0_2329,plain,
join(zero,meet(converse(zero),complement(top))) = join(zero,meet(converse(zero),complement(top))),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(zero),complement(top))))]]) ).
cnf(refute_0_2330,plain,
( join(zero,meet(converse(zero),complement(top))) != join(zero,meet(converse(zero),complement(top)))
| meet(converse(zero),complement(top)) != meet(zero,converse(zero))
| join(zero,meet(converse(zero),complement(top))) = join(zero,meet(zero,converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(zero),complement(top))),join(zero,meet(converse(zero),complement(top)))) ),[1,1],$fot(meet(zero,converse(zero)))]]) ).
cnf(refute_0_2331,plain,
( meet(converse(zero),complement(top)) != meet(zero,converse(zero))
| join(zero,meet(converse(zero),complement(top))) = join(zero,meet(zero,converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),complement(top))),join(zero,meet(converse(zero),complement(top)))) )],[refute_0_2329,refute_0_2330]) ).
cnf(refute_0_2332,plain,
join(zero,meet(converse(zero),complement(top))) = join(zero,meet(zero,converse(zero))),
inference(resolve,[$cnf( $equal(meet(converse(zero),complement(top)),meet(zero,converse(zero))) )],[refute_0_2328,refute_0_2331]) ).
cnf(refute_0_2333,plain,
( join(zero,meet(converse(zero),complement(top))) != join(zero,meet(zero,converse(zero)))
| join(zero,meet(zero,converse(zero))) != zero
| join(zero,meet(converse(zero),complement(top))) = zero ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,meet(converse(zero),complement(top))))),bind(Y,$fot(join(zero,meet(zero,converse(zero))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2334,plain,
( join(zero,meet(zero,converse(zero))) != zero
| join(zero,meet(converse(zero),complement(top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),complement(top))),join(zero,meet(zero,converse(zero)))) )],[refute_0_2332,refute_0_2333]) ).
cnf(refute_0_2335,plain,
join(zero,meet(converse(zero),complement(top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,meet(zero,converse(zero))),zero) )],[refute_0_2320,refute_0_2334]) ).
cnf(refute_0_2336,plain,
( converse(zero) != join(zero,meet(converse(zero),complement(top)))
| join(zero,meet(converse(zero),complement(top))) != zero
| converse(zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),zero) ),[0],$fot(join(zero,meet(converse(zero),complement(top))))]]) ).
cnf(refute_0_2337,plain,
( converse(zero) != join(zero,meet(converse(zero),complement(top)))
| converse(zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),complement(top))),zero) )],[refute_0_2335,refute_0_2336]) ).
cnf(refute_0_2338,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),complement(top)))) )],[refute_0_2249,refute_0_2337]) ).
cnf(refute_0_2339,plain,
converse(complement(top)) = converse(complement(top)),
introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).
cnf(refute_0_2340,plain,
( complement(top) != zero
| converse(complement(top)) != converse(complement(top))
| converse(complement(top)) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(top)),converse(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2341,plain,
( complement(top) != zero
| converse(complement(top)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_2339,refute_0_2340]) ).
cnf(refute_0_2342,plain,
converse(complement(top)) = converse(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_2341]) ).
cnf(refute_0_2343,plain,
( converse(complement(top)) != converse(zero)
| converse(zero) != zero
| converse(complement(top)) = zero ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(complement(top)))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2344,plain,
( converse(zero) != zero
| converse(complement(top)) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_2342,refute_0_2343]) ).
cnf(refute_0_2345,plain,
converse(complement(top)) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2338,refute_0_2344]) ).
cnf(refute_0_2346,plain,
join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) = join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)),
introduced(tautology,[refl,[$fot(join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)))]]) ).
cnf(refute_0_2347,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) != join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top))
| join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) = join(zero,composition(complement(converse(converse(complement(X_41)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)),join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2348,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) = join(zero,composition(complement(converse(converse(complement(X_41)))),top)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)),join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top))) )],[refute_0_2346,refute_0_2347]) ).
cnf(refute_0_2349,plain,
join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) = join(zero,composition(complement(converse(converse(complement(X_41)))),top)),
inference(resolve,[$cnf( $equal(converse(complement(top)),zero) )],[refute_0_2345,refute_0_2348]) ).
cnf(refute_0_2350,plain,
( join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) != join(zero,composition(complement(converse(converse(complement(X_41)))),top))
| join(zero,composition(complement(converse(converse(complement(X_41)))),top)) != join(zero,composition(X_41,top))
| join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) = join(zero,composition(X_41,top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)))),bind(Y,$fot(join(zero,composition(complement(converse(converse(complement(X_41)))),top)))),bind(Z,$fot(join(zero,composition(X_41,top))))]]) ).
cnf(refute_0_2351,plain,
( join(zero,composition(complement(converse(converse(complement(X_41)))),top)) != join(zero,composition(X_41,top))
| join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) = join(zero,composition(X_41,top)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)),join(zero,composition(complement(converse(converse(complement(X_41)))),top))) )],[refute_0_2349,refute_0_2350]) ).
cnf(refute_0_2352,plain,
join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) = join(zero,composition(X_41,top)),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(converse(converse(complement(X_41)))),top)),join(zero,composition(X_41,top))) )],[refute_0_2201,refute_0_2351]) ).
cnf(refute_0_2353,plain,
( join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) != join(zero,composition(X_41,top))
| join(zero,composition(X_41,top)) != composition(X_41,top)
| join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) = composition(X_41,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)))),bind(Y,$fot(join(zero,composition(X_41,top)))),bind(Z,$fot(composition(X_41,top)))]]) ).
cnf(refute_0_2354,plain,
( join(zero,composition(X_41,top)) != composition(X_41,top)
| join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) = composition(X_41,top) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)),join(zero,composition(X_41,top))) )],[refute_0_2352,refute_0_2353]) ).
cnf(refute_0_2355,plain,
join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) = composition(X_41,top),
inference(resolve,[$cnf( $equal(join(zero,composition(X_41,top)),composition(X_41,top)) )],[refute_0_2185,refute_0_2354]) ).
cnf(refute_0_2356,plain,
converse(join(complement(top),converse(composition(complement(converse(converse(complement(X_41)))),top)))) = join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)),
inference(subst,[],[refute_0_128:[bind(A,$fot(composition(complement(converse(converse(complement(X_41)))),top))),bind(X_4,$fot(complement(top)))]]) ).
cnf(refute_0_2357,plain,
converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))) = converse(join(complement(top),converse(composition(complement(converse(converse(complement(X_41)))),top)))),
inference(subst,[],[refute_0_2084:[bind(A,$fot(complement(top))),bind(B,$fot(converse(composition(complement(converse(converse(complement(X_41)))),top))))]]) ).
cnf(refute_0_2358,plain,
( converse(join(complement(top),converse(composition(complement(converse(converse(complement(X_41)))),top)))) != join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top))
| converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))) != converse(join(complement(top),converse(composition(complement(converse(converse(complement(X_41)))),top))))
| converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))) = join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))))),bind(Y,$fot(converse(join(complement(top),converse(composition(complement(converse(converse(complement(X_41)))),top)))))),bind(Z,$fot(join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top))))]]) ).
cnf(refute_0_2359,plain,
( converse(join(complement(top),converse(composition(complement(converse(converse(complement(X_41)))),top)))) != join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top))
| converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))) = join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))),converse(join(complement(top),converse(composition(complement(converse(converse(complement(X_41)))),top))))) )],[refute_0_2357,refute_0_2358]) ).
cnf(refute_0_2360,plain,
converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))) = join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)),
inference(resolve,[$cnf( $equal(converse(join(complement(top),converse(composition(complement(converse(converse(complement(X_41)))),top)))),join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top))) )],[refute_0_2356,refute_0_2359]) ).
cnf(refute_0_2361,plain,
( converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))) != join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top))
| join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) != composition(X_41,top)
| converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))) = composition(X_41,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))))),bind(Y,$fot(join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)))),bind(Z,$fot(composition(X_41,top)))]]) ).
cnf(refute_0_2362,plain,
( join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)) != composition(X_41,top)
| converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))) = composition(X_41,top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))),join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top))) )],[refute_0_2360,refute_0_2361]) ).
cnf(refute_0_2363,plain,
converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))) = composition(X_41,top),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),composition(complement(converse(converse(complement(X_41)))),top)),composition(X_41,top)) )],[refute_0_2355,refute_0_2362]) ).
cnf(refute_0_2364,plain,
meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))) = meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))),
introduced(tautology,[refl,[$fot(meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))))]]) ).
cnf(refute_0_2365,plain,
( converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))) != composition(X_41,top)
| meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))) != meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))))
| meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))) = meet(X_41,composition(X_41,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))),meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))))) ),[1,1],$fot(composition(X_41,top))]]) ).
cnf(refute_0_2366,plain,
( converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))) != composition(X_41,top)
| meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))) = meet(X_41,composition(X_41,top)) ),
inference(resolve,[$cnf( $equal(meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))),meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))))) )],[refute_0_2364,refute_0_2365]) ).
cnf(refute_0_2367,plain,
meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))) = meet(X_41,composition(X_41,top)),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))),composition(X_41,top)) )],[refute_0_2363,refute_0_2366]) ).
cnf(refute_0_2368,plain,
( X_41 != meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))))
| meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))) != meet(X_41,composition(X_41,top))
| X_41 = meet(X_41,composition(X_41,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,meet(X_41,composition(X_41,top))) ),[0],$fot(meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))))]]) ).
cnf(refute_0_2369,plain,
( X_41 != meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))))
| X_41 = meet(X_41,composition(X_41,top)) ),
inference(resolve,[$cnf( $equal(meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top)))),meet(X_41,composition(X_41,top))) )],[refute_0_2367,refute_0_2368]) ).
cnf(refute_0_2370,plain,
X_41 = meet(X_41,composition(X_41,top)),
inference(resolve,[$cnf( $equal(X_41,meet(X_41,converse(join(converse(composition(complement(converse(converse(complement(X_41)))),top)),complement(top))))) )],[refute_0_2184,refute_0_2369]) ).
cnf(refute_0_2371,plain,
converse(X_35) = meet(converse(X_35),composition(converse(X_35),top)),
inference(subst,[],[refute_0_2370:[bind(X_41,$fot(converse(X_35)))]]) ).
cnf(refute_0_2372,plain,
converse(composition(converse(top),X_35)) = composition(converse(X_35),top),
inference(subst,[],[refute_0_20:[bind(A,$fot(top))]]) ).
cnf(refute_0_2373,plain,
( converse(composition(converse(top),X_35)) != composition(converse(X_35),top)
| converse(top) != top
| converse(composition(top,X_35)) = composition(converse(X_35),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_35)),composition(converse(X_35),top)) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_2374,plain,
( converse(composition(converse(top),X_35)) != composition(converse(X_35),top)
| converse(composition(top,X_35)) = composition(converse(X_35),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_2373]) ).
cnf(refute_0_2375,plain,
converse(composition(top,X_35)) = composition(converse(X_35),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_35)),composition(converse(X_35),top)) )],[refute_0_2372,refute_0_2374]) ).
cnf(refute_0_2376,plain,
( converse(composition(top,X_35)) != composition(converse(X_35),top)
| composition(converse(X_35),top) = converse(composition(top,X_35)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(top,X_35)))),bind(Y,$fot(composition(converse(X_35),top)))]]) ).
cnf(refute_0_2377,plain,
composition(converse(X_35),top) = converse(composition(top,X_35)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_35)),composition(converse(X_35),top)) )],[refute_0_2375,refute_0_2376]) ).
cnf(refute_0_2378,plain,
( composition(converse(X_35),top) != converse(composition(top,X_35))
| converse(X_35) != meet(converse(X_35),composition(converse(X_35),top))
| converse(X_35) = meet(converse(X_35),converse(composition(top,X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(X_35),meet(converse(X_35),composition(converse(X_35),top))) ),[1,1],$fot(converse(composition(top,X_35)))]]) ).
cnf(refute_0_2379,plain,
( converse(X_35) != meet(converse(X_35),composition(converse(X_35),top))
| converse(X_35) = meet(converse(X_35),converse(composition(top,X_35))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_35),top),converse(composition(top,X_35))) )],[refute_0_2377,refute_0_2378]) ).
cnf(refute_0_2380,plain,
converse(X_35) = meet(converse(X_35),converse(composition(top,X_35))),
inference(resolve,[$cnf( $equal(converse(X_35),meet(converse(X_35),composition(converse(X_35),top))) )],[refute_0_2371,refute_0_2379]) ).
cnf(refute_0_2381,plain,
converse(composition(converse(X_974),X_974)) = meet(converse(composition(converse(X_974),X_974)),converse(composition(top,composition(converse(X_974),X_974)))),
inference(subst,[],[refute_0_2380:[bind(X_35,$fot(composition(converse(X_974),X_974)))]]) ).
cnf(refute_0_2382,plain,
composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) = join(composition(X_147,X_149),composition(converse(complement(composition(X_149,top))),X_149)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_147)),bind(B,$fot(converse(complement(composition(X_149,top))))),bind(C,$fot(X_149))]]) ).
cnf(refute_0_2383,plain,
converse(composition(converse(A),complement(converse(composition(top,converse(A)))))) = composition(converse(complement(converse(composition(top,converse(A))))),A),
inference(subst,[],[refute_0_20:[bind(X_35,$fot(complement(converse(composition(top,converse(A))))))]]) ).
cnf(refute_0_2384,plain,
join(complement(top),composition(converse(A),complement(composition(A,top)))) = complement(top),
inference(subst,[],[refute_0_437:[bind(B,$fot(top))]]) ).
cnf(refute_0_2385,plain,
( complement(top) != zero
| join(complement(top),composition(converse(A),complement(composition(A,top)))) != complement(top)
| join(zero,composition(converse(A),complement(composition(A,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(A),complement(composition(A,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2386,plain,
( join(complement(top),composition(converse(A),complement(composition(A,top)))) != complement(top)
| join(zero,composition(converse(A),complement(composition(A,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_2385]) ).
cnf(refute_0_2387,plain,
join(zero,composition(converse(A),complement(composition(A,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(A),complement(composition(A,top)))),complement(top)) )],[refute_0_2384,refute_0_2386]) ).
cnf(refute_0_2388,plain,
( complement(top) != zero
| join(zero,composition(converse(A),complement(composition(A,top)))) != complement(top)
| join(zero,composition(converse(A),complement(composition(A,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(A),complement(composition(A,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2389,plain,
( join(zero,composition(converse(A),complement(composition(A,top)))) != complement(top)
| join(zero,composition(converse(A),complement(composition(A,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_2388]) ).
cnf(refute_0_2390,plain,
join(zero,composition(converse(A),complement(composition(A,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(A),complement(composition(A,top)))),complement(top)) )],[refute_0_2387,refute_0_2389]) ).
cnf(refute_0_2391,plain,
join(zero,composition(converse(converse(A)),complement(composition(converse(A),top)))) = zero,
inference(subst,[],[refute_0_2390:[bind(A,$fot(converse(A)))]]) ).
cnf(refute_0_2392,plain,
( converse(converse(A)) != A
| join(zero,composition(converse(converse(A)),complement(composition(converse(A),top)))) != zero
| join(zero,composition(A,complement(composition(converse(A),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(converse(A)),complement(composition(converse(A),top)))),zero) ),[0,1,0],$fot(A)]]) ).
cnf(refute_0_2393,plain,
( join(zero,composition(converse(converse(A)),complement(composition(converse(A),top)))) != zero
| join(zero,composition(A,complement(composition(converse(A),top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_2392]) ).
cnf(refute_0_2394,plain,
join(zero,composition(A,complement(composition(converse(A),top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(A)),complement(composition(converse(A),top)))),zero) )],[refute_0_2391,refute_0_2393]) ).
cnf(refute_0_2395,plain,
composition(converse(A),top) = converse(composition(top,A)),
inference(subst,[],[refute_0_2377:[bind(X_35,$fot(A))]]) ).
cnf(refute_0_2396,plain,
complement(composition(converse(A),top)) = complement(composition(converse(A),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(A),top)))]]) ).
cnf(refute_0_2397,plain,
( complement(composition(converse(A),top)) != complement(composition(converse(A),top))
| composition(converse(A),top) != converse(composition(top,A))
| complement(composition(converse(A),top)) = complement(converse(composition(top,A))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(A),top)),complement(composition(converse(A),top))) ),[1,0],$fot(converse(composition(top,A)))]]) ).
cnf(refute_0_2398,plain,
( composition(converse(A),top) != converse(composition(top,A))
| complement(composition(converse(A),top)) = complement(converse(composition(top,A))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(A),top)),complement(composition(converse(A),top))) )],[refute_0_2396,refute_0_2397]) ).
cnf(refute_0_2399,plain,
complement(composition(converse(A),top)) = complement(converse(composition(top,A))),
inference(resolve,[$cnf( $equal(composition(converse(A),top),converse(composition(top,A))) )],[refute_0_2395,refute_0_2398]) ).
cnf(refute_0_2400,plain,
composition(A,complement(composition(converse(A),top))) = composition(A,complement(composition(converse(A),top))),
introduced(tautology,[refl,[$fot(composition(A,complement(composition(converse(A),top))))]]) ).
cnf(refute_0_2401,plain,
( complement(composition(converse(A),top)) != complement(converse(composition(top,A)))
| composition(A,complement(composition(converse(A),top))) != composition(A,complement(composition(converse(A),top)))
| composition(A,complement(composition(converse(A),top))) = composition(A,complement(converse(composition(top,A)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(A,complement(composition(converse(A),top))),composition(A,complement(composition(converse(A),top)))) ),[1,1],$fot(complement(converse(composition(top,A))))]]) ).
cnf(refute_0_2402,plain,
( complement(composition(converse(A),top)) != complement(converse(composition(top,A)))
| composition(A,complement(composition(converse(A),top))) = composition(A,complement(converse(composition(top,A)))) ),
inference(resolve,[$cnf( $equal(composition(A,complement(composition(converse(A),top))),composition(A,complement(composition(converse(A),top)))) )],[refute_0_2400,refute_0_2401]) ).
cnf(refute_0_2403,plain,
composition(A,complement(composition(converse(A),top))) = composition(A,complement(converse(composition(top,A)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(A),top)),complement(converse(composition(top,A)))) )],[refute_0_2399,refute_0_2402]) ).
cnf(refute_0_2404,plain,
join(zero,composition(A,complement(composition(converse(A),top)))) = join(zero,composition(A,complement(composition(converse(A),top)))),
introduced(tautology,[refl,[$fot(join(zero,composition(A,complement(composition(converse(A),top)))))]]) ).
cnf(refute_0_2405,plain,
( composition(A,complement(composition(converse(A),top))) != composition(A,complement(converse(composition(top,A))))
| join(zero,composition(A,complement(composition(converse(A),top)))) != join(zero,composition(A,complement(composition(converse(A),top))))
| join(zero,composition(A,complement(composition(converse(A),top)))) = join(zero,composition(A,complement(converse(composition(top,A))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(A,complement(composition(converse(A),top)))),join(zero,composition(A,complement(composition(converse(A),top))))) ),[1,1],$fot(composition(A,complement(converse(composition(top,A)))))]]) ).
cnf(refute_0_2406,plain,
( composition(A,complement(composition(converse(A),top))) != composition(A,complement(converse(composition(top,A))))
| join(zero,composition(A,complement(composition(converse(A),top)))) = join(zero,composition(A,complement(converse(composition(top,A))))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(A,complement(composition(converse(A),top)))),join(zero,composition(A,complement(composition(converse(A),top))))) )],[refute_0_2404,refute_0_2405]) ).
cnf(refute_0_2407,plain,
join(zero,composition(A,complement(composition(converse(A),top)))) = join(zero,composition(A,complement(converse(composition(top,A))))),
inference(resolve,[$cnf( $equal(composition(A,complement(composition(converse(A),top))),composition(A,complement(converse(composition(top,A))))) )],[refute_0_2403,refute_0_2406]) ).
cnf(refute_0_2408,plain,
( join(zero,composition(A,complement(composition(converse(A),top)))) != join(zero,composition(A,complement(converse(composition(top,A)))))
| join(zero,composition(A,complement(composition(converse(A),top)))) != zero
| join(zero,composition(A,complement(converse(composition(top,A))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(A,complement(composition(converse(A),top)))),zero) ),[0],$fot(join(zero,composition(A,complement(converse(composition(top,A))))))]]) ).
cnf(refute_0_2409,plain,
( join(zero,composition(A,complement(composition(converse(A),top)))) != zero
| join(zero,composition(A,complement(converse(composition(top,A))))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(A,complement(composition(converse(A),top)))),join(zero,composition(A,complement(converse(composition(top,A)))))) )],[refute_0_2407,refute_0_2408]) ).
cnf(refute_0_2410,plain,
join(zero,composition(A,complement(converse(composition(top,A))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(A,complement(composition(converse(A),top)))),zero) )],[refute_0_2394,refute_0_2409]) ).
cnf(refute_0_2411,plain,
join(zero,composition(A,complement(converse(composition(top,A))))) = composition(A,complement(converse(composition(top,A)))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(composition(A,complement(converse(composition(top,A))))))]]) ).
cnf(refute_0_2412,plain,
( join(zero,composition(A,complement(converse(composition(top,A))))) != composition(A,complement(converse(composition(top,A))))
| join(zero,composition(A,complement(converse(composition(top,A))))) != zero
| composition(A,complement(converse(composition(top,A)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(A,complement(converse(composition(top,A))))),zero) ),[0],$fot(composition(A,complement(converse(composition(top,A)))))]]) ).
cnf(refute_0_2413,plain,
( join(zero,composition(A,complement(converse(composition(top,A))))) != zero
| composition(A,complement(converse(composition(top,A)))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(A,complement(converse(composition(top,A))))),composition(A,complement(converse(composition(top,A))))) )],[refute_0_2411,refute_0_2412]) ).
cnf(refute_0_2414,plain,
composition(A,complement(converse(composition(top,A)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(A,complement(converse(composition(top,A))))),zero) )],[refute_0_2410,refute_0_2413]) ).
cnf(refute_0_2415,plain,
composition(converse(A),complement(converse(composition(top,converse(A))))) = zero,
inference(subst,[],[refute_0_2414:[bind(A,$fot(converse(A)))]]) ).
cnf(refute_0_2416,plain,
( composition(converse(A),complement(converse(composition(top,converse(A))))) != zero
| converse(composition(converse(A),complement(converse(composition(top,converse(A)))))) != composition(converse(complement(converse(composition(top,converse(A))))),A)
| converse(zero) = composition(converse(complement(converse(composition(top,converse(A))))),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),complement(converse(composition(top,converse(A)))))),composition(converse(complement(converse(composition(top,converse(A))))),A)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2417,plain,
( converse(composition(converse(A),complement(converse(composition(top,converse(A)))))) != composition(converse(complement(converse(composition(top,converse(A))))),A)
| converse(zero) = composition(converse(complement(converse(composition(top,converse(A))))),A) ),
inference(resolve,[$cnf( $equal(composition(converse(A),complement(converse(composition(top,converse(A))))),zero) )],[refute_0_2415,refute_0_2416]) ).
cnf(refute_0_2418,plain,
converse(zero) = composition(converse(complement(converse(composition(top,converse(A))))),A),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),complement(converse(composition(top,converse(A)))))),composition(converse(complement(converse(composition(top,converse(A))))),A)) )],[refute_0_2383,refute_0_2417]) ).
cnf(refute_0_2419,plain,
( converse(zero) != composition(converse(complement(converse(composition(top,converse(A))))),A)
| converse(zero) != zero
| zero = composition(converse(complement(converse(composition(top,converse(A))))),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(converse(composition(top,converse(A))))),A)) ),[0],$fot(zero)]]) ).
cnf(refute_0_2420,plain,
( converse(zero) != composition(converse(complement(converse(composition(top,converse(A))))),A)
| zero = composition(converse(complement(converse(composition(top,converse(A))))),A) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2338,refute_0_2419]) ).
cnf(refute_0_2421,plain,
composition(A,converse(top)) = composition(A,converse(top)),
introduced(tautology,[refl,[$fot(composition(A,converse(top)))]]) ).
cnf(refute_0_2422,plain,
( composition(A,converse(top)) != composition(A,converse(top))
| converse(top) != top
| composition(A,converse(top)) = composition(A,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(A,converse(top)),composition(A,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2423,plain,
( converse(top) != top
| composition(A,converse(top)) = composition(A,top) ),
inference(resolve,[$cnf( $equal(composition(A,converse(top)),composition(A,converse(top))) )],[refute_0_2421,refute_0_2422]) ).
cnf(refute_0_2424,plain,
composition(A,converse(top)) = composition(A,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_2423]) ).
cnf(refute_0_2425,plain,
converse(composition(top,converse(A))) = composition(A,converse(top)),
inference(subst,[],[refute_0_104:[bind(X_34,$fot(top))]]) ).
cnf(refute_0_2426,plain,
( composition(A,converse(top)) != composition(A,top)
| converse(composition(top,converse(A))) != composition(A,converse(top))
| converse(composition(top,converse(A))) = composition(A,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,converse(A))))),bind(Y,$fot(composition(A,converse(top)))),bind(Z,$fot(composition(A,top)))]]) ).
cnf(refute_0_2427,plain,
( composition(A,converse(top)) != composition(A,top)
| converse(composition(top,converse(A))) = composition(A,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(A))),composition(A,converse(top))) )],[refute_0_2425,refute_0_2426]) ).
cnf(refute_0_2428,plain,
converse(composition(top,converse(A))) = composition(A,top),
inference(resolve,[$cnf( $equal(composition(A,converse(top)),composition(A,top)) )],[refute_0_2424,refute_0_2427]) ).
cnf(refute_0_2429,plain,
complement(converse(composition(top,converse(A)))) = complement(converse(composition(top,converse(A)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,converse(A)))))]]) ).
cnf(refute_0_2430,plain,
( complement(converse(composition(top,converse(A)))) != complement(converse(composition(top,converse(A))))
| converse(composition(top,converse(A))) != composition(A,top)
| complement(converse(composition(top,converse(A)))) = complement(composition(A,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,converse(A)))),complement(converse(composition(top,converse(A))))) ),[1,0],$fot(composition(A,top))]]) ).
cnf(refute_0_2431,plain,
( converse(composition(top,converse(A))) != composition(A,top)
| complement(converse(composition(top,converse(A)))) = complement(composition(A,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(A)))),complement(converse(composition(top,converse(A))))) )],[refute_0_2429,refute_0_2430]) ).
cnf(refute_0_2432,plain,
complement(converse(composition(top,converse(A)))) = complement(composition(A,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(A))),composition(A,top)) )],[refute_0_2428,refute_0_2431]) ).
cnf(refute_0_2433,plain,
converse(complement(converse(composition(top,converse(A))))) = converse(complement(converse(composition(top,converse(A))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(composition(top,converse(A))))))]]) ).
cnf(refute_0_2434,plain,
( complement(converse(composition(top,converse(A)))) != complement(composition(A,top))
| converse(complement(converse(composition(top,converse(A))))) != converse(complement(converse(composition(top,converse(A)))))
| converse(complement(converse(composition(top,converse(A))))) = converse(complement(composition(A,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(composition(top,converse(A))))),converse(complement(converse(composition(top,converse(A)))))) ),[1,0],$fot(complement(composition(A,top)))]]) ).
cnf(refute_0_2435,plain,
( complement(converse(composition(top,converse(A)))) != complement(composition(A,top))
| converse(complement(converse(composition(top,converse(A))))) = converse(complement(composition(A,top))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,converse(A))))),converse(complement(converse(composition(top,converse(A)))))) )],[refute_0_2433,refute_0_2434]) ).
cnf(refute_0_2436,plain,
converse(complement(converse(composition(top,converse(A))))) = converse(complement(composition(A,top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(A)))),complement(composition(A,top))) )],[refute_0_2432,refute_0_2435]) ).
cnf(refute_0_2437,plain,
composition(converse(complement(converse(composition(top,converse(A))))),A) = composition(converse(complement(converse(composition(top,converse(A))))),A),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(composition(top,converse(A))))),A))]]) ).
cnf(refute_0_2438,plain,
( composition(converse(complement(converse(composition(top,converse(A))))),A) != composition(converse(complement(converse(composition(top,converse(A))))),A)
| converse(complement(converse(composition(top,converse(A))))) != converse(complement(composition(A,top)))
| composition(converse(complement(converse(composition(top,converse(A))))),A) = composition(converse(complement(composition(A,top))),A) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(composition(top,converse(A))))),A),composition(converse(complement(converse(composition(top,converse(A))))),A)) ),[1,0],$fot(converse(complement(composition(A,top))))]]) ).
cnf(refute_0_2439,plain,
( converse(complement(converse(composition(top,converse(A))))) != converse(complement(composition(A,top)))
| composition(converse(complement(converse(composition(top,converse(A))))),A) = composition(converse(complement(composition(A,top))),A) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,converse(A))))),A),composition(converse(complement(converse(composition(top,converse(A))))),A)) )],[refute_0_2437,refute_0_2438]) ).
cnf(refute_0_2440,plain,
composition(converse(complement(converse(composition(top,converse(A))))),A) = composition(converse(complement(composition(A,top))),A),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,converse(A))))),converse(complement(composition(A,top)))) )],[refute_0_2436,refute_0_2439]) ).
cnf(refute_0_2441,plain,
( composition(converse(complement(converse(composition(top,converse(A))))),A) != composition(converse(complement(composition(A,top))),A)
| zero != composition(converse(complement(converse(composition(top,converse(A))))),A)
| zero = composition(converse(complement(composition(A,top))),A) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(converse(composition(top,converse(A))))),A)) ),[1],$fot(composition(converse(complement(composition(A,top))),A))]]) ).
cnf(refute_0_2442,plain,
( zero != composition(converse(complement(converse(composition(top,converse(A))))),A)
| zero = composition(converse(complement(composition(A,top))),A) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,converse(A))))),A),composition(converse(complement(composition(A,top))),A)) )],[refute_0_2440,refute_0_2441]) ).
cnf(refute_0_2443,plain,
( converse(zero) != composition(converse(complement(converse(composition(top,converse(A))))),A)
| zero = composition(converse(complement(composition(A,top))),A) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(converse(composition(top,converse(A))))),A)) )],[refute_0_2420,refute_0_2442]) ).
cnf(refute_0_2444,plain,
zero = composition(converse(complement(composition(A,top))),A),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(converse(composition(top,converse(A))))),A)) )],[refute_0_2418,refute_0_2443]) ).
cnf(refute_0_2445,plain,
zero = composition(converse(complement(composition(X_149,top))),X_149),
inference(subst,[],[refute_0_2444:[bind(A,$fot(X_149))]]) ).
cnf(refute_0_2446,plain,
( zero != composition(converse(complement(composition(X_149,top))),X_149)
| composition(converse(complement(composition(X_149,top))),X_149) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(X_149,top))),X_149)))]]) ).
cnf(refute_0_2447,plain,
composition(converse(complement(composition(X_149,top))),X_149) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_149,top))),X_149)) )],[refute_0_2445,refute_0_2446]) ).
cnf(refute_0_2448,plain,
( composition(converse(complement(composition(X_149,top))),X_149) != zero
| composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) != join(composition(X_147,X_149),composition(converse(complement(composition(X_149,top))),X_149))
| composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) = join(composition(X_147,X_149),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_147,converse(complement(composition(X_149,top)))),X_149),join(composition(X_147,X_149),composition(converse(complement(composition(X_149,top))),X_149))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2449,plain,
( composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) != join(composition(X_147,X_149),composition(converse(complement(composition(X_149,top))),X_149))
| composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) = join(composition(X_147,X_149),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_149,top))),X_149),zero) )],[refute_0_2447,refute_0_2448]) ).
cnf(refute_0_2450,plain,
composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) = join(composition(X_147,X_149),zero),
inference(resolve,[$cnf( $equal(composition(join(X_147,converse(complement(composition(X_149,top)))),X_149),join(composition(X_147,X_149),composition(converse(complement(composition(X_149,top))),X_149))) )],[refute_0_2382,refute_0_2449]) ).
cnf(refute_0_2451,plain,
join(composition(X_147,X_149),zero) = composition(X_147,X_149),
inference(subst,[],[refute_0_1072:[bind(X_41,$fot(composition(X_147,X_149)))]]) ).
cnf(refute_0_2452,plain,
( composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) != join(composition(X_147,X_149),zero)
| join(composition(X_147,X_149),zero) != composition(X_147,X_149)
| composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) = composition(X_147,X_149) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_147,converse(complement(composition(X_149,top)))),X_149),composition(X_147,X_149)) ),[0],$fot(join(composition(X_147,X_149),zero))]]) ).
cnf(refute_0_2453,plain,
( composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) != join(composition(X_147,X_149),zero)
| composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) = composition(X_147,X_149) ),
inference(resolve,[$cnf( $equal(join(composition(X_147,X_149),zero),composition(X_147,X_149)) )],[refute_0_2451,refute_0_2452]) ).
cnf(refute_0_2454,plain,
composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) = composition(X_147,X_149),
inference(resolve,[$cnf( $equal(composition(join(X_147,converse(complement(composition(X_149,top)))),X_149),join(composition(X_147,X_149),zero)) )],[refute_0_2450,refute_0_2453]) ).
cnf(refute_0_2455,plain,
converse(A) = meet(converse(A),join(converse(A),converse(B))),
inference(subst,[],[refute_0_1214:[bind(X_124,$fot(converse(B))),bind(X_41,$fot(converse(A)))]]) ).
cnf(refute_0_2456,plain,
( converse(A) != meet(converse(A),join(converse(A),converse(B)))
| join(converse(A),converse(B)) != converse(join(A,B))
| converse(A) = meet(converse(A),converse(join(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(A),meet(converse(A),join(converse(A),converse(B)))) ),[1,1],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_2457,plain,
( converse(A) != meet(converse(A),join(converse(A),converse(B)))
| converse(A) = meet(converse(A),converse(join(A,B))) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(B)),converse(join(A,B))) )],[refute_0_682,refute_0_2456]) ).
cnf(refute_0_2458,plain,
converse(A) = meet(converse(A),converse(join(A,B))),
inference(resolve,[$cnf( $equal(converse(A),meet(converse(A),join(converse(A),converse(B)))) )],[refute_0_2455,refute_0_2457]) ).
cnf(refute_0_2459,plain,
converse(complement(X_183)) = meet(converse(complement(X_183)),converse(join(complement(X_183),meet(X_183,converse(complement(converse(X_183))))))),
inference(subst,[],[refute_0_2458:[bind(A,$fot(complement(X_183))),bind(B,$fot(meet(X_183,converse(complement(converse(X_183))))))]]) ).
cnf(refute_0_2460,plain,
converse(complement(converse(X_183))) = join(meet(complement(X_183),converse(complement(converse(X_183)))),meet(complement(complement(X_183)),converse(complement(converse(X_183))))),
inference(subst,[],[refute_0_205:[bind(X_94,$fot(complement(X_183))),bind(X_95,$fot(converse(complement(converse(X_183)))))]]) ).
cnf(refute_0_2461,plain,
X_41 = join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(join(complement(X_41),converse(complement(converse(complement(X_41))))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_41)),bind(B,$fot(converse(complement(converse(complement(X_41))))))]]) ).
cnf(refute_0_2462,plain,
converse(top) = join(complement(X_41),converse(complement(converse(complement(X_41))))),
inference(subst,[],[refute_0_676:[bind(X_8,$fot(complement(X_41)))]]) ).
cnf(refute_0_2463,plain,
( converse(top) != join(complement(X_41),converse(complement(converse(complement(X_41)))))
| join(complement(X_41),converse(complement(converse(complement(X_41))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_41),converse(complement(converse(complement(X_41)))))))]]) ).
cnf(refute_0_2464,plain,
join(complement(X_41),converse(complement(converse(complement(X_41))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_41),converse(complement(converse(complement(X_41)))))) )],[refute_0_2462,refute_0_2463]) ).
cnf(refute_0_2465,plain,
( X_41 != join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(join(complement(X_41),converse(complement(converse(complement(X_41)))))))
| join(complement(X_41),converse(complement(converse(complement(X_41))))) != converse(top)
| X_41 = join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(join(complement(X_41),converse(complement(converse(complement(X_41)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_2466,plain,
( X_41 != join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(join(complement(X_41),converse(complement(converse(complement(X_41)))))))
| X_41 = join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),converse(complement(converse(complement(X_41))))),converse(top)) )],[refute_0_2464,refute_0_2465]) ).
cnf(refute_0_2467,plain,
X_41 = join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(join(complement(X_41),converse(complement(converse(complement(X_41)))))))) )],[refute_0_2461,refute_0_2466]) ).
cnf(refute_0_2468,plain,
join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(converse(top))) = join(complement(converse(top)),meet(X_41,converse(complement(converse(complement(X_41)))))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(converse(top)))),bind(B,$fot(meet(X_41,converse(complement(converse(complement(X_41)))))))]]) ).
cnf(refute_0_2469,plain,
( X_41 != join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(converse(top)))
| join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(converse(top))) != join(complement(converse(top)),meet(X_41,converse(complement(converse(complement(X_41))))))
| X_41 = join(complement(converse(top)),meet(X_41,converse(complement(converse(complement(X_41)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,join(complement(converse(top)),meet(X_41,converse(complement(converse(complement(X_41))))))) ),[0],$fot(join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(converse(top))))]]) ).
cnf(refute_0_2470,plain,
( X_41 != join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(converse(top)))
| X_41 = join(complement(converse(top)),meet(X_41,converse(complement(converse(complement(X_41)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(converse(top))),join(complement(converse(top)),meet(X_41,converse(complement(converse(complement(X_41))))))) )],[refute_0_2468,refute_0_2469]) ).
cnf(refute_0_2471,plain,
X_41 = join(complement(converse(top)),meet(X_41,converse(complement(converse(complement(X_41)))))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,converse(complement(converse(complement(X_41))))),complement(converse(top)))) )],[refute_0_2467,refute_0_2470]) ).
cnf(refute_0_2472,plain,
join(zero,complement(B)) = join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(complement(join(zero,complement(B)))))))),
inference(subst,[],[refute_0_2471:[bind(X_41,$fot(join(zero,complement(B))))]]) ).
cnf(refute_0_2473,plain,
( complement(join(zero,complement(B))) != meet(top,B)
| join(zero,complement(B)) != join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(complement(join(zero,complement(B))))))))
| join(zero,complement(B)) = join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(complement(join(zero,complement(B))))))))) ),[1,1,1,0,0,0],$fot(meet(top,B))]]) ).
cnf(refute_0_2474,plain,
( join(zero,complement(B)) != join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(complement(join(zero,complement(B))))))))
| join(zero,complement(B)) = join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(B))),meet(top,B)) )],[refute_0_284,refute_0_2473]) ).
cnf(refute_0_2475,plain,
join(zero,complement(B)) = join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(complement(join(zero,complement(B))))))))) )],[refute_0_2472,refute_0_2474]) ).
cnf(refute_0_2476,plain,
( join(zero,complement(B)) != complement(B)
| join(zero,complement(B)) != join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| complement(B) = join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(B)),join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))) ),[0],$fot(complement(B))]]) ).
cnf(refute_0_2477,plain,
( join(zero,complement(B)) != join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| complement(B) = join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_872,refute_0_2476]) ).
cnf(refute_0_2478,plain,
join(zero,meet(complement(B),converse(complement(converse(B))))) = meet(complement(B),converse(complement(converse(B)))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(complement(B),converse(complement(converse(B))))))]]) ).
cnf(refute_0_2479,plain,
meet(top,B) = B,
inference(subst,[],[refute_0_940:[bind(X_69,$fot(B))]]) ).
cnf(refute_0_2480,plain,
converse(meet(top,B)) = converse(meet(top,B)),
introduced(tautology,[refl,[$fot(converse(meet(top,B)))]]) ).
cnf(refute_0_2481,plain,
( converse(meet(top,B)) != converse(meet(top,B))
| meet(top,B) != B
| converse(meet(top,B)) = converse(B) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(top,B)),converse(meet(top,B))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_2482,plain,
( meet(top,B) != B
| converse(meet(top,B)) = converse(B) ),
inference(resolve,[$cnf( $equal(converse(meet(top,B)),converse(meet(top,B))) )],[refute_0_2480,refute_0_2481]) ).
cnf(refute_0_2483,plain,
converse(meet(top,B)) = converse(B),
inference(resolve,[$cnf( $equal(meet(top,B),B) )],[refute_0_2479,refute_0_2482]) ).
cnf(refute_0_2484,plain,
complement(converse(meet(top,B))) = complement(converse(meet(top,B))),
introduced(tautology,[refl,[$fot(complement(converse(meet(top,B))))]]) ).
cnf(refute_0_2485,plain,
( complement(converse(meet(top,B))) != complement(converse(meet(top,B)))
| converse(meet(top,B)) != converse(B)
| complement(converse(meet(top,B))) = complement(converse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(top,B))),complement(converse(meet(top,B)))) ),[1,0],$fot(converse(B))]]) ).
cnf(refute_0_2486,plain,
( converse(meet(top,B)) != converse(B)
| complement(converse(meet(top,B))) = complement(converse(B)) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(top,B))),complement(converse(meet(top,B)))) )],[refute_0_2484,refute_0_2485]) ).
cnf(refute_0_2487,plain,
complement(converse(meet(top,B))) = complement(converse(B)),
inference(resolve,[$cnf( $equal(converse(meet(top,B)),converse(B)) )],[refute_0_2483,refute_0_2486]) ).
cnf(refute_0_2488,plain,
converse(complement(converse(meet(top,B)))) = converse(complement(converse(meet(top,B)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(meet(top,B)))))]]) ).
cnf(refute_0_2489,plain,
( complement(converse(meet(top,B))) != complement(converse(B))
| converse(complement(converse(meet(top,B)))) != converse(complement(converse(meet(top,B))))
| converse(complement(converse(meet(top,B)))) = converse(complement(converse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(meet(top,B)))),converse(complement(converse(meet(top,B))))) ),[1,0],$fot(complement(converse(B)))]]) ).
cnf(refute_0_2490,plain,
( complement(converse(meet(top,B))) != complement(converse(B))
| converse(complement(converse(meet(top,B)))) = converse(complement(converse(B))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(top,B)))),converse(complement(converse(meet(top,B))))) )],[refute_0_2488,refute_0_2489]) ).
cnf(refute_0_2491,plain,
converse(complement(converse(meet(top,B)))) = converse(complement(converse(B))),
inference(resolve,[$cnf( $equal(complement(converse(meet(top,B))),complement(converse(B))) )],[refute_0_2487,refute_0_2490]) ).
cnf(refute_0_2492,plain,
meet(complement(B),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(meet(top,B))))),
introduced(tautology,[refl,[$fot(meet(complement(B),converse(complement(converse(meet(top,B))))))]]) ).
cnf(refute_0_2493,plain,
( converse(complement(converse(meet(top,B)))) != converse(complement(converse(B)))
| meet(complement(B),converse(complement(converse(meet(top,B))))) != meet(complement(B),converse(complement(converse(meet(top,B)))))
| meet(complement(B),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(B)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(B),converse(complement(converse(meet(top,B))))),meet(complement(B),converse(complement(converse(meet(top,B)))))) ),[1,1],$fot(converse(complement(converse(B))))]]) ).
cnf(refute_0_2494,plain,
( converse(complement(converse(meet(top,B)))) != converse(complement(converse(B)))
| meet(complement(B),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(B)))) ),
inference(resolve,[$cnf( $equal(meet(complement(B),converse(complement(converse(meet(top,B))))),meet(complement(B),converse(complement(converse(meet(top,B)))))) )],[refute_0_2492,refute_0_2493]) ).
cnf(refute_0_2495,plain,
meet(complement(B),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(B)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(top,B)))),converse(complement(converse(B)))) )],[refute_0_2491,refute_0_2494]) ).
cnf(refute_0_2496,plain,
meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))]]) ).
cnf(refute_0_2497,plain,
( join(zero,complement(B)) != complement(B)
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) != meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(meet(top,B))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) ),[1,0],$fot(complement(B))]]) ).
cnf(refute_0_2498,plain,
( join(zero,complement(B)) != complement(B)
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(meet(top,B))))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) )],[refute_0_2496,refute_0_2497]) ).
cnf(refute_0_2499,plain,
meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(meet(top,B))))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),complement(B)) )],[refute_0_872,refute_0_2498]) ).
cnf(refute_0_2500,plain,
( meet(complement(B),converse(complement(converse(meet(top,B))))) != meet(complement(B),converse(complement(converse(B))))
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) != meet(complement(B),converse(complement(converse(meet(top,B)))))
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(B)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))),bind(Y,$fot(meet(complement(B),converse(complement(converse(meet(top,B))))))),bind(Z,$fot(meet(complement(B),converse(complement(converse(B))))))]]) ).
cnf(refute_0_2501,plain,
( meet(complement(B),converse(complement(converse(meet(top,B))))) != meet(complement(B),converse(complement(converse(B))))
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(B)))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))),meet(complement(B),converse(complement(converse(meet(top,B)))))) )],[refute_0_2499,refute_0_2500]) ).
cnf(refute_0_2502,plain,
meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) = meet(complement(B),converse(complement(converse(B)))),
inference(resolve,[$cnf( $equal(meet(complement(B),converse(complement(converse(meet(top,B))))),meet(complement(B),converse(complement(converse(B))))) )],[refute_0_2495,refute_0_2501]) ).
cnf(refute_0_2503,plain,
join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))))]]) ).
cnf(refute_0_2504,plain,
( join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) != join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) != meet(complement(B),converse(complement(converse(B))))
| join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = join(zero,meet(complement(B),converse(complement(converse(B))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))) ),[1,1],$fot(meet(complement(B),converse(complement(converse(B)))))]]) ).
cnf(refute_0_2505,plain,
( meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))) != meet(complement(B),converse(complement(converse(B))))
| join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = join(zero,meet(complement(B),converse(complement(converse(B))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))) )],[refute_0_2503,refute_0_2504]) ).
cnf(refute_0_2506,plain,
join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = join(zero,meet(complement(B),converse(complement(converse(B))))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))),meet(complement(B),converse(complement(converse(B))))) )],[refute_0_2502,refute_0_2505]) ).
cnf(refute_0_2507,plain,
join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))))]]) ).
cnf(refute_0_2508,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) != join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2509,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))) )],[refute_0_2507,refute_0_2508]) ).
cnf(refute_0_2510,plain,
join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2129,refute_0_2509]) ).
cnf(refute_0_2511,plain,
( join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) != join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) != join(zero,meet(complement(B),converse(complement(converse(B)))))
| join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = join(zero,meet(complement(B),converse(complement(converse(B))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))))),bind(Y,$fot(join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))))),bind(Z,$fot(join(zero,meet(complement(B),converse(complement(converse(B)))))))]]) ).
cnf(refute_0_2512,plain,
( join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) != join(zero,meet(complement(B),converse(complement(converse(B)))))
| join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = join(zero,meet(complement(B),converse(complement(converse(B))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))) )],[refute_0_2510,refute_0_2511]) ).
cnf(refute_0_2513,plain,
join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = join(zero,meet(complement(B),converse(complement(converse(B))))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),join(zero,meet(complement(B),converse(complement(converse(B)))))) )],[refute_0_2506,refute_0_2512]) ).
cnf(refute_0_2514,plain,
( join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) != join(zero,meet(complement(B),converse(complement(converse(B)))))
| join(zero,meet(complement(B),converse(complement(converse(B))))) != meet(complement(B),converse(complement(converse(B))))
| join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = meet(complement(B),converse(complement(converse(B)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))))),bind(Y,$fot(join(zero,meet(complement(B),converse(complement(converse(B))))))),bind(Z,$fot(meet(complement(B),converse(complement(converse(B))))))]]) ).
cnf(refute_0_2515,plain,
( join(zero,meet(complement(B),converse(complement(converse(B))))) != meet(complement(B),converse(complement(converse(B))))
| join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = meet(complement(B),converse(complement(converse(B)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),join(zero,meet(complement(B),converse(complement(converse(B)))))) )],[refute_0_2513,refute_0_2514]) ).
cnf(refute_0_2516,plain,
join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) = meet(complement(B),converse(complement(converse(B)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(B),converse(complement(converse(B))))),meet(complement(B),converse(complement(converse(B))))) )],[refute_0_2478,refute_0_2515]) ).
cnf(refute_0_2517,plain,
( complement(B) != join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))) != meet(complement(B),converse(complement(converse(B))))
| complement(B) = meet(complement(B),converse(complement(converse(B)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(B),meet(complement(B),converse(complement(converse(B))))) ),[0],$fot(join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))))]]) ).
cnf(refute_0_2518,plain,
( complement(B) != join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| complement(B) = meet(complement(B),converse(complement(converse(B)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B)))))),meet(complement(B),converse(complement(converse(B))))) )],[refute_0_2516,refute_0_2517]) ).
cnf(refute_0_2519,plain,
( join(zero,complement(B)) != join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))
| complement(B) = meet(complement(B),converse(complement(converse(B)))) ),
inference(resolve,[$cnf( $equal(complement(B),join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))) )],[refute_0_2477,refute_0_2518]) ).
cnf(refute_0_2520,plain,
complement(B) = meet(complement(B),converse(complement(converse(B)))),
inference(resolve,[$cnf( $equal(join(zero,complement(B)),join(complement(converse(top)),meet(join(zero,complement(B)),converse(complement(converse(meet(top,B))))))) )],[refute_0_2475,refute_0_2519]) ).
cnf(refute_0_2521,plain,
complement(X_183) = meet(complement(X_183),converse(complement(converse(X_183)))),
inference(subst,[],[refute_0_2520:[bind(B,$fot(X_183))]]) ).
cnf(refute_0_2522,plain,
( complement(X_183) != meet(complement(X_183),converse(complement(converse(X_183))))
| meet(complement(X_183),converse(complement(converse(X_183)))) = complement(X_183) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_183))),bind(Y,$fot(meet(complement(X_183),converse(complement(converse(X_183))))))]]) ).
cnf(refute_0_2523,plain,
meet(complement(X_183),converse(complement(converse(X_183)))) = complement(X_183),
inference(resolve,[$cnf( $equal(complement(X_183),meet(complement(X_183),converse(complement(converse(X_183))))) )],[refute_0_2521,refute_0_2522]) ).
cnf(refute_0_2524,plain,
( converse(complement(converse(X_183))) != join(meet(complement(X_183),converse(complement(converse(X_183)))),meet(complement(complement(X_183)),converse(complement(converse(X_183)))))
| meet(complement(X_183),converse(complement(converse(X_183)))) != complement(X_183)
| converse(complement(converse(X_183))) = join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(X_183))),join(meet(complement(X_183),converse(complement(converse(X_183)))),meet(complement(complement(X_183)),converse(complement(converse(X_183)))))) ),[1,0],$fot(complement(X_183))]]) ).
cnf(refute_0_2525,plain,
( converse(complement(converse(X_183))) != join(meet(complement(X_183),converse(complement(converse(X_183)))),meet(complement(complement(X_183)),converse(complement(converse(X_183)))))
| converse(complement(converse(X_183))) = join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_183),converse(complement(converse(X_183)))),complement(X_183)) )],[refute_0_2523,refute_0_2524]) ).
cnf(refute_0_2526,plain,
converse(complement(converse(X_183))) = join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_183))),join(meet(complement(X_183),converse(complement(converse(X_183)))),meet(complement(complement(X_183)),converse(complement(converse(X_183)))))) )],[refute_0_2460,refute_0_2525]) ).
cnf(refute_0_2527,plain,
complement(complement(X_183)) = X_183,
inference(subst,[],[refute_0_931:[bind(X_25,$fot(X_183))]]) ).
cnf(refute_0_2528,plain,
meet(complement(complement(X_183)),converse(complement(converse(X_183)))) = meet(complement(complement(X_183)),converse(complement(converse(X_183)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_183)),converse(complement(converse(X_183)))))]]) ).
cnf(refute_0_2529,plain,
( complement(complement(X_183)) != X_183
| meet(complement(complement(X_183)),converse(complement(converse(X_183)))) != meet(complement(complement(X_183)),converse(complement(converse(X_183))))
| meet(complement(complement(X_183)),converse(complement(converse(X_183)))) = meet(X_183,converse(complement(converse(X_183)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_183)),converse(complement(converse(X_183)))),meet(complement(complement(X_183)),converse(complement(converse(X_183))))) ),[1,0],$fot(X_183)]]) ).
cnf(refute_0_2530,plain,
( complement(complement(X_183)) != X_183
| meet(complement(complement(X_183)),converse(complement(converse(X_183)))) = meet(X_183,converse(complement(converse(X_183)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_183)),converse(complement(converse(X_183)))),meet(complement(complement(X_183)),converse(complement(converse(X_183))))) )],[refute_0_2528,refute_0_2529]) ).
cnf(refute_0_2531,plain,
meet(complement(complement(X_183)),converse(complement(converse(X_183)))) = meet(X_183,converse(complement(converse(X_183)))),
inference(resolve,[$cnf( $equal(complement(complement(X_183)),X_183) )],[refute_0_2527,refute_0_2530]) ).
cnf(refute_0_2532,plain,
join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))) = join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))),
introduced(tautology,[refl,[$fot(join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))))]]) ).
cnf(refute_0_2533,plain,
( join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))) != join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183)))))
| meet(complement(complement(X_183)),converse(complement(converse(X_183)))) != meet(X_183,converse(complement(converse(X_183))))
| join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))) = join(complement(X_183),meet(X_183,converse(complement(converse(X_183))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))),join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183)))))) ),[1,1],$fot(meet(X_183,converse(complement(converse(X_183)))))]]) ).
cnf(refute_0_2534,plain,
( meet(complement(complement(X_183)),converse(complement(converse(X_183)))) != meet(X_183,converse(complement(converse(X_183))))
| join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))) = join(complement(X_183),meet(X_183,converse(complement(converse(X_183))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))),join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183)))))) )],[refute_0_2532,refute_0_2533]) ).
cnf(refute_0_2535,plain,
join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))) = join(complement(X_183),meet(X_183,converse(complement(converse(X_183))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_183)),converse(complement(converse(X_183)))),meet(X_183,converse(complement(converse(X_183))))) )],[refute_0_2531,refute_0_2534]) ).
cnf(refute_0_2536,plain,
( converse(complement(converse(X_183))) != join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183)))))
| join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))) != join(complement(X_183),meet(X_183,converse(complement(converse(X_183)))))
| converse(complement(converse(X_183))) = join(complement(X_183),meet(X_183,converse(complement(converse(X_183))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_183))),join(complement(X_183),meet(X_183,converse(complement(converse(X_183)))))) ),[0],$fot(join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))))]]) ).
cnf(refute_0_2537,plain,
( converse(complement(converse(X_183))) != join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183)))))
| converse(complement(converse(X_183))) = join(complement(X_183),meet(X_183,converse(complement(converse(X_183))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183))))),join(complement(X_183),meet(X_183,converse(complement(converse(X_183)))))) )],[refute_0_2535,refute_0_2536]) ).
cnf(refute_0_2538,plain,
converse(complement(converse(X_183))) = join(complement(X_183),meet(X_183,converse(complement(converse(X_183))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_183))),join(complement(X_183),meet(complement(complement(X_183)),converse(complement(converse(X_183)))))) )],[refute_0_2526,refute_0_2537]) ).
cnf(refute_0_2539,plain,
( converse(complement(converse(X_183))) != join(complement(X_183),meet(X_183,converse(complement(converse(X_183)))))
| join(complement(X_183),meet(X_183,converse(complement(converse(X_183))))) = converse(complement(converse(X_183))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(complement(converse(X_183))))),bind(Y,$fot(join(complement(X_183),meet(X_183,converse(complement(converse(X_183)))))))]]) ).
cnf(refute_0_2540,plain,
join(complement(X_183),meet(X_183,converse(complement(converse(X_183))))) = converse(complement(converse(X_183))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_183))),join(complement(X_183),meet(X_183,converse(complement(converse(X_183)))))) )],[refute_0_2538,refute_0_2539]) ).
cnf(refute_0_2541,plain,
( converse(complement(X_183)) != meet(converse(complement(X_183)),converse(join(complement(X_183),meet(X_183,converse(complement(converse(X_183)))))))
| join(complement(X_183),meet(X_183,converse(complement(converse(X_183))))) != converse(complement(converse(X_183)))
| converse(complement(X_183)) = meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_183)),meet(converse(complement(X_183)),converse(join(complement(X_183),meet(X_183,converse(complement(converse(X_183)))))))) ),[1,1,0],$fot(converse(complement(converse(X_183))))]]) ).
cnf(refute_0_2542,plain,
( converse(complement(X_183)) != meet(converse(complement(X_183)),converse(join(complement(X_183),meet(X_183,converse(complement(converse(X_183)))))))
| converse(complement(X_183)) = meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_183),meet(X_183,converse(complement(converse(X_183))))),converse(complement(converse(X_183)))) )],[refute_0_2540,refute_0_2541]) ).
cnf(refute_0_2543,plain,
converse(complement(X_183)) = meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))),
inference(resolve,[$cnf( $equal(converse(complement(X_183)),meet(converse(complement(X_183)),converse(join(complement(X_183),meet(X_183,converse(complement(converse(X_183)))))))) )],[refute_0_2459,refute_0_2542]) ).
cnf(refute_0_2544,plain,
complement(converse(A)) = meet(complement(converse(A)),converse(complement(converse(converse(A))))),
inference(subst,[],[refute_0_2520:[bind(B,$fot(converse(A)))]]) ).
cnf(refute_0_2545,plain,
( complement(converse(A)) != meet(complement(converse(A)),converse(complement(converse(converse(A)))))
| converse(converse(A)) != A
| complement(converse(A)) = meet(complement(converse(A)),converse(complement(A))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(A)),meet(complement(converse(A)),converse(complement(converse(converse(A)))))) ),[1,1,0,0],$fot(A)]]) ).
cnf(refute_0_2546,plain,
( complement(converse(A)) != meet(complement(converse(A)),converse(complement(converse(converse(A)))))
| complement(converse(A)) = meet(complement(converse(A)),converse(complement(A))) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_2545]) ).
cnf(refute_0_2547,plain,
complement(converse(A)) = meet(complement(converse(A)),converse(complement(A))),
inference(resolve,[$cnf( $equal(complement(converse(A)),meet(complement(converse(A)),converse(complement(converse(converse(A)))))) )],[refute_0_2544,refute_0_2546]) ).
cnf(refute_0_2548,plain,
( complement(converse(A)) != meet(complement(converse(A)),converse(complement(A)))
| meet(complement(converse(A)),converse(complement(A))) = complement(converse(A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(A)))),bind(Y,$fot(meet(complement(converse(A)),converse(complement(A)))))]]) ).
cnf(refute_0_2549,plain,
meet(complement(converse(A)),converse(complement(A))) = complement(converse(A)),
inference(resolve,[$cnf( $equal(complement(converse(A)),meet(complement(converse(A)),converse(complement(A)))) )],[refute_0_2547,refute_0_2548]) ).
cnf(refute_0_2550,plain,
meet(complement(converse(X_183)),converse(complement(X_183))) = complement(converse(X_183)),
inference(subst,[],[refute_0_2549:[bind(A,$fot(X_183))]]) ).
cnf(refute_0_2551,plain,
meet(converse(complement(X_183)),complement(converse(X_183))) = meet(complement(converse(X_183)),converse(complement(X_183))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(complement(converse(X_183)))),bind(X_16,$fot(converse(complement(X_183))))]]) ).
cnf(refute_0_2552,plain,
( meet(complement(converse(X_183)),converse(complement(X_183))) != complement(converse(X_183))
| meet(converse(complement(X_183)),complement(converse(X_183))) != meet(complement(converse(X_183)),converse(complement(X_183)))
| meet(converse(complement(X_183)),complement(converse(X_183))) = complement(converse(X_183)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(converse(complement(X_183)),complement(converse(X_183))))),bind(Y,$fot(meet(complement(converse(X_183)),converse(complement(X_183))))),bind(Z,$fot(complement(converse(X_183))))]]) ).
cnf(refute_0_2553,plain,
( meet(complement(converse(X_183)),converse(complement(X_183))) != complement(converse(X_183))
| meet(converse(complement(X_183)),complement(converse(X_183))) = complement(converse(X_183)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_183)),complement(converse(X_183))),meet(complement(converse(X_183)),converse(complement(X_183)))) )],[refute_0_2551,refute_0_2552]) ).
cnf(refute_0_2554,plain,
meet(converse(complement(X_183)),complement(converse(X_183))) = complement(converse(X_183)),
inference(resolve,[$cnf( $equal(meet(complement(converse(X_183)),converse(complement(X_183))),complement(converse(X_183))) )],[refute_0_2550,refute_0_2553]) ).
cnf(refute_0_2555,plain,
converse(converse(complement(converse(X_183)))) = complement(converse(X_183)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(converse(X_183))))]]) ).
cnf(refute_0_2556,plain,
meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))) = meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))))]]) ).
cnf(refute_0_2557,plain,
( converse(converse(complement(converse(X_183)))) != complement(converse(X_183))
| meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))) != meet(converse(complement(X_183)),converse(converse(complement(converse(X_183)))))
| meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))) = meet(converse(complement(X_183)),complement(converse(X_183))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))),meet(converse(complement(X_183)),converse(converse(complement(converse(X_183)))))) ),[1,1],$fot(complement(converse(X_183)))]]) ).
cnf(refute_0_2558,plain,
( converse(converse(complement(converse(X_183)))) != complement(converse(X_183))
| meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))) = meet(converse(complement(X_183)),complement(converse(X_183))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))),meet(converse(complement(X_183)),converse(converse(complement(converse(X_183)))))) )],[refute_0_2556,refute_0_2557]) ).
cnf(refute_0_2559,plain,
meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))) = meet(converse(complement(X_183)),complement(converse(X_183))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(X_183)))),complement(converse(X_183))) )],[refute_0_2555,refute_0_2558]) ).
cnf(refute_0_2560,plain,
( meet(converse(complement(X_183)),complement(converse(X_183))) != complement(converse(X_183))
| meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))) != meet(converse(complement(X_183)),complement(converse(X_183)))
| meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))) = complement(converse(X_183)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))))),bind(Y,$fot(meet(converse(complement(X_183)),complement(converse(X_183))))),bind(Z,$fot(complement(converse(X_183))))]]) ).
cnf(refute_0_2561,plain,
( meet(converse(complement(X_183)),complement(converse(X_183))) != complement(converse(X_183))
| meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))) = complement(converse(X_183)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))),meet(converse(complement(X_183)),complement(converse(X_183)))) )],[refute_0_2559,refute_0_2560]) ).
cnf(refute_0_2562,plain,
meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))) = complement(converse(X_183)),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_183)),complement(converse(X_183))),complement(converse(X_183))) )],[refute_0_2554,refute_0_2561]) ).
cnf(refute_0_2563,plain,
( converse(complement(X_183)) != meet(converse(complement(X_183)),converse(converse(complement(converse(X_183)))))
| meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))) != complement(converse(X_183))
| converse(complement(X_183)) = complement(converse(X_183)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X_183)),complement(converse(X_183))) ),[0],$fot(meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))))]]) ).
cnf(refute_0_2564,plain,
( converse(complement(X_183)) != meet(converse(complement(X_183)),converse(converse(complement(converse(X_183)))))
| converse(complement(X_183)) = complement(converse(X_183)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_183)),converse(converse(complement(converse(X_183))))),complement(converse(X_183))) )],[refute_0_2562,refute_0_2563]) ).
cnf(refute_0_2565,plain,
converse(complement(X_183)) = complement(converse(X_183)),
inference(resolve,[$cnf( $equal(converse(complement(X_183)),meet(converse(complement(X_183)),converse(converse(complement(converse(X_183)))))) )],[refute_0_2543,refute_0_2564]) ).
cnf(refute_0_2566,plain,
converse(complement(composition(X_149,top))) = complement(converse(composition(X_149,top))),
inference(subst,[],[refute_0_2565:[bind(X_183,$fot(composition(X_149,top)))]]) ).
cnf(refute_0_2567,plain,
join(X_147,converse(complement(composition(X_149,top)))) = join(X_147,converse(complement(composition(X_149,top)))),
introduced(tautology,[refl,[$fot(join(X_147,converse(complement(composition(X_149,top)))))]]) ).
cnf(refute_0_2568,plain,
( converse(complement(composition(X_149,top))) != complement(converse(composition(X_149,top)))
| join(X_147,converse(complement(composition(X_149,top)))) != join(X_147,converse(complement(composition(X_149,top))))
| join(X_147,converse(complement(composition(X_149,top)))) = join(X_147,complement(converse(composition(X_149,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_147,converse(complement(composition(X_149,top)))),join(X_147,converse(complement(composition(X_149,top))))) ),[1,1],$fot(complement(converse(composition(X_149,top))))]]) ).
cnf(refute_0_2569,plain,
( converse(complement(composition(X_149,top))) != complement(converse(composition(X_149,top)))
| join(X_147,converse(complement(composition(X_149,top)))) = join(X_147,complement(converse(composition(X_149,top)))) ),
inference(resolve,[$cnf( $equal(join(X_147,converse(complement(composition(X_149,top)))),join(X_147,converse(complement(composition(X_149,top))))) )],[refute_0_2567,refute_0_2568]) ).
cnf(refute_0_2570,plain,
join(X_147,converse(complement(composition(X_149,top)))) = join(X_147,complement(converse(composition(X_149,top)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(X_149,top))),complement(converse(composition(X_149,top)))) )],[refute_0_2566,refute_0_2569]) ).
cnf(refute_0_2571,plain,
composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) = composition(join(X_147,converse(complement(composition(X_149,top)))),X_149),
introduced(tautology,[refl,[$fot(composition(join(X_147,converse(complement(composition(X_149,top)))),X_149))]]) ).
cnf(refute_0_2572,plain,
( composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) != composition(join(X_147,converse(complement(composition(X_149,top)))),X_149)
| join(X_147,converse(complement(composition(X_149,top)))) != join(X_147,complement(converse(composition(X_149,top))))
| composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) = composition(join(X_147,complement(converse(composition(X_149,top)))),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_147,converse(complement(composition(X_149,top)))),X_149),composition(join(X_147,converse(complement(composition(X_149,top)))),X_149)) ),[1,0],$fot(join(X_147,complement(converse(composition(X_149,top)))))]]) ).
cnf(refute_0_2573,plain,
( join(X_147,converse(complement(composition(X_149,top)))) != join(X_147,complement(converse(composition(X_149,top))))
| composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) = composition(join(X_147,complement(converse(composition(X_149,top)))),X_149) ),
inference(resolve,[$cnf( $equal(composition(join(X_147,converse(complement(composition(X_149,top)))),X_149),composition(join(X_147,converse(complement(composition(X_149,top)))),X_149)) )],[refute_0_2571,refute_0_2572]) ).
cnf(refute_0_2574,plain,
composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) = composition(join(X_147,complement(converse(composition(X_149,top)))),X_149),
inference(resolve,[$cnf( $equal(join(X_147,converse(complement(composition(X_149,top)))),join(X_147,complement(converse(composition(X_149,top))))) )],[refute_0_2570,refute_0_2573]) ).
cnf(refute_0_2575,plain,
( composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) != composition(X_147,X_149)
| composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) != composition(join(X_147,complement(converse(composition(X_149,top)))),X_149)
| composition(join(X_147,complement(converse(composition(X_149,top)))),X_149) = composition(X_147,X_149) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_147,converse(complement(composition(X_149,top)))),X_149),composition(X_147,X_149)) ),[0],$fot(composition(join(X_147,complement(converse(composition(X_149,top)))),X_149))]]) ).
cnf(refute_0_2576,plain,
( composition(join(X_147,converse(complement(composition(X_149,top)))),X_149) != composition(X_147,X_149)
| composition(join(X_147,complement(converse(composition(X_149,top)))),X_149) = composition(X_147,X_149) ),
inference(resolve,[$cnf( $equal(composition(join(X_147,converse(complement(composition(X_149,top)))),X_149),composition(join(X_147,complement(converse(composition(X_149,top)))),X_149)) )],[refute_0_2574,refute_0_2575]) ).
cnf(refute_0_2577,plain,
composition(join(X_147,complement(converse(composition(X_149,top)))),X_149) = composition(X_147,X_149),
inference(resolve,[$cnf( $equal(composition(join(X_147,converse(complement(composition(X_149,top)))),X_149),composition(X_147,X_149)) )],[refute_0_2454,refute_0_2576]) ).
cnf(refute_0_2578,plain,
composition(join(converse(composition(X_973,top)),complement(converse(composition(X_973,top)))),X_973) = composition(converse(composition(X_973,top)),X_973),
inference(subst,[],[refute_0_2577:[bind(X_147,$fot(converse(composition(X_973,top)))),bind(X_149,$fot(X_973))]]) ).
cnf(refute_0_2579,plain,
top = join(converse(composition(X_973,top)),complement(converse(composition(X_973,top)))),
inference(subst,[],[def_top_12:[bind(A,$fot(converse(composition(X_973,top))))]]) ).
cnf(refute_0_2580,plain,
( top != join(converse(composition(X_973,top)),complement(converse(composition(X_973,top))))
| join(converse(composition(X_973,top)),complement(converse(composition(X_973,top)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(composition(X_973,top)),complement(converse(composition(X_973,top))))))]]) ).
cnf(refute_0_2581,plain,
join(converse(composition(X_973,top)),complement(converse(composition(X_973,top)))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(composition(X_973,top)),complement(converse(composition(X_973,top))))) )],[refute_0_2579,refute_0_2580]) ).
cnf(refute_0_2582,plain,
( composition(join(converse(composition(X_973,top)),complement(converse(composition(X_973,top)))),X_973) != composition(converse(composition(X_973,top)),X_973)
| join(converse(composition(X_973,top)),complement(converse(composition(X_973,top)))) != top
| composition(top,X_973) = composition(converse(composition(X_973,top)),X_973) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(composition(X_973,top)),complement(converse(composition(X_973,top)))),X_973),composition(converse(composition(X_973,top)),X_973)) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2583,plain,
( composition(join(converse(composition(X_973,top)),complement(converse(composition(X_973,top)))),X_973) != composition(converse(composition(X_973,top)),X_973)
| composition(top,X_973) = composition(converse(composition(X_973,top)),X_973) ),
inference(resolve,[$cnf( $equal(join(converse(composition(X_973,top)),complement(converse(composition(X_973,top)))),top) )],[refute_0_2581,refute_0_2582]) ).
cnf(refute_0_2584,plain,
composition(top,X_973) = composition(converse(composition(X_973,top)),X_973),
inference(resolve,[$cnf( $equal(composition(join(converse(composition(X_973,top)),complement(converse(composition(X_973,top)))),X_973),composition(converse(composition(X_973,top)),X_973)) )],[refute_0_2578,refute_0_2583]) ).
cnf(refute_0_2585,plain,
composition(top,composition(converse(X_332),C)) = composition(composition(top,converse(X_332)),C),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(top)),bind(B,$fot(converse(X_332)))]]) ).
cnf(refute_0_2586,plain,
converse(composition(X_332,top)) = composition(top,converse(X_332)),
inference(subst,[],[refute_0_2170:[bind(A,$fot(X_332))]]) ).
cnf(refute_0_2587,plain,
( converse(composition(X_332,top)) != composition(top,converse(X_332))
| composition(top,converse(X_332)) = converse(composition(X_332,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_332,top)))),bind(Y,$fot(composition(top,converse(X_332))))]]) ).
cnf(refute_0_2588,plain,
composition(top,converse(X_332)) = converse(composition(X_332,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_332,top)),composition(top,converse(X_332))) )],[refute_0_2586,refute_0_2587]) ).
cnf(refute_0_2589,plain,
( composition(top,composition(converse(X_332),C)) != composition(composition(top,converse(X_332)),C)
| composition(top,converse(X_332)) != converse(composition(X_332,top))
| composition(top,composition(converse(X_332),C)) = composition(converse(composition(X_332,top)),C) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(X_332),C)),composition(composition(top,converse(X_332)),C)) ),[1,0],$fot(converse(composition(X_332,top)))]]) ).
cnf(refute_0_2590,plain,
( composition(top,composition(converse(X_332),C)) != composition(composition(top,converse(X_332)),C)
| composition(top,composition(converse(X_332),C)) = composition(converse(composition(X_332,top)),C) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_332)),converse(composition(X_332,top))) )],[refute_0_2588,refute_0_2589]) ).
cnf(refute_0_2591,plain,
composition(top,composition(converse(X_332),C)) = composition(converse(composition(X_332,top)),C),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_332),C)),composition(composition(top,converse(X_332)),C)) )],[refute_0_2585,refute_0_2590]) ).
cnf(refute_0_2592,plain,
( composition(top,composition(converse(X_332),C)) != composition(converse(composition(X_332,top)),C)
| composition(converse(composition(X_332,top)),C) = composition(top,composition(converse(X_332),C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,composition(converse(X_332),C)))),bind(Y,$fot(composition(converse(composition(X_332,top)),C)))]]) ).
cnf(refute_0_2593,plain,
composition(converse(composition(X_332,top)),C) = composition(top,composition(converse(X_332),C)),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_332),C)),composition(converse(composition(X_332,top)),C)) )],[refute_0_2591,refute_0_2592]) ).
cnf(refute_0_2594,plain,
composition(converse(composition(X_973,top)),X_973) = composition(top,composition(converse(X_973),X_973)),
inference(subst,[],[refute_0_2593:[bind(C,$fot(X_973)),bind(X_332,$fot(X_973))]]) ).
cnf(refute_0_2595,plain,
( composition(converse(composition(X_973,top)),X_973) != composition(top,composition(converse(X_973),X_973))
| composition(top,X_973) != composition(converse(composition(X_973,top)),X_973)
| composition(top,X_973) = composition(top,composition(converse(X_973),X_973)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,X_973),composition(converse(composition(X_973,top)),X_973)) ),[1],$fot(composition(top,composition(converse(X_973),X_973)))]]) ).
cnf(refute_0_2596,plain,
( composition(top,X_973) != composition(converse(composition(X_973,top)),X_973)
| composition(top,X_973) = composition(top,composition(converse(X_973),X_973)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_973,top)),X_973),composition(top,composition(converse(X_973),X_973))) )],[refute_0_2594,refute_0_2595]) ).
cnf(refute_0_2597,plain,
composition(top,X_973) = composition(top,composition(converse(X_973),X_973)),
inference(resolve,[$cnf( $equal(composition(top,X_973),composition(converse(composition(X_973,top)),X_973)) )],[refute_0_2584,refute_0_2596]) ).
cnf(refute_0_2598,plain,
composition(top,X_974) = composition(top,composition(converse(X_974),X_974)),
inference(subst,[],[refute_0_2597:[bind(X_973,$fot(X_974))]]) ).
cnf(refute_0_2599,plain,
( composition(top,X_974) != composition(top,composition(converse(X_974),X_974))
| composition(top,composition(converse(X_974),X_974)) = composition(top,X_974) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,X_974))),bind(Y,$fot(composition(top,composition(converse(X_974),X_974))))]]) ).
cnf(refute_0_2600,plain,
composition(top,composition(converse(X_974),X_974)) = composition(top,X_974),
inference(resolve,[$cnf( $equal(composition(top,X_974),composition(top,composition(converse(X_974),X_974))) )],[refute_0_2598,refute_0_2599]) ).
cnf(refute_0_2601,plain,
( composition(top,composition(converse(X_974),X_974)) != composition(top,X_974)
| converse(composition(converse(X_974),X_974)) != meet(converse(composition(converse(X_974),X_974)),converse(composition(top,composition(converse(X_974),X_974))))
| converse(composition(converse(X_974),X_974)) = meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_974),X_974)),meet(converse(composition(converse(X_974),X_974)),converse(composition(top,composition(converse(X_974),X_974))))) ),[1,1,0],$fot(composition(top,X_974))]]) ).
cnf(refute_0_2602,plain,
( converse(composition(converse(X_974),X_974)) != meet(converse(composition(converse(X_974),X_974)),converse(composition(top,composition(converse(X_974),X_974))))
| converse(composition(converse(X_974),X_974)) = meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_974),X_974)),composition(top,X_974)) )],[refute_0_2600,refute_0_2601]) ).
cnf(refute_0_2603,plain,
converse(composition(converse(X_974),X_974)) = meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_974),X_974)),meet(converse(composition(converse(X_974),X_974)),converse(composition(top,composition(converse(X_974),X_974))))) )],[refute_0_2381,refute_0_2602]) ).
cnf(refute_0_2604,plain,
converse(composition(converse(X_974),X_974)) = composition(converse(X_974),X_974),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_974)),bind(X_35,$fot(X_974))]]) ).
cnf(refute_0_2605,plain,
( converse(composition(converse(X_974),X_974)) != composition(converse(X_974),X_974)
| converse(composition(converse(X_974),X_974)) != meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974)))
| composition(converse(X_974),X_974) = meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_974),X_974)),meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974)))) ),[0],$fot(composition(converse(X_974),X_974))]]) ).
cnf(refute_0_2606,plain,
( converse(composition(converse(X_974),X_974)) != meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974)))
| composition(converse(X_974),X_974) = meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_974),X_974)),composition(converse(X_974),X_974)) )],[refute_0_2604,refute_0_2605]) ).
cnf(refute_0_2607,plain,
meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))) = meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))),
introduced(tautology,[refl,[$fot(meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))))]]) ).
cnf(refute_0_2608,plain,
( converse(composition(converse(X_974),X_974)) != composition(converse(X_974),X_974)
| meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))) != meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974)))
| meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))) = meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))),meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974)))) ),[1,1],$fot(composition(converse(X_974),X_974))]]) ).
cnf(refute_0_2609,plain,
( converse(composition(converse(X_974),X_974)) != composition(converse(X_974),X_974)
| meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))) = meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))),meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974)))) )],[refute_0_2607,refute_0_2608]) ).
cnf(refute_0_2610,plain,
meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))) = meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_974),X_974)),composition(converse(X_974),X_974)) )],[refute_0_2604,refute_0_2609]) ).
cnf(refute_0_2611,plain,
meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))) = meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(converse(composition(top,X_974)))),bind(X_16,$fot(converse(composition(converse(X_974),X_974))))]]) ).
cnf(refute_0_2612,plain,
( meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))) != meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974)))
| meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))) != meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))
| meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))) = meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))))),bind(Y,$fot(meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))))),bind(Z,$fot(meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))))]]) ).
cnf(refute_0_2613,plain,
( meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))) != meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))
| meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))) = meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))),meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974)))) )],[refute_0_2611,refute_0_2612]) ).
cnf(refute_0_2614,plain,
meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))) = meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,X_974)),converse(composition(converse(X_974),X_974))),meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))) )],[refute_0_2610,refute_0_2613]) ).
cnf(refute_0_2615,plain,
( composition(converse(X_974),X_974) != meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974)))
| meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))) != meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))
| composition(converse(X_974),X_974) = meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(X_974),X_974),meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))) ),[0],$fot(meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))))]]) ).
cnf(refute_0_2616,plain,
( composition(converse(X_974),X_974) != meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974)))
| composition(converse(X_974),X_974) = meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974))),meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))) )],[refute_0_2614,refute_0_2615]) ).
cnf(refute_0_2617,plain,
( converse(composition(converse(X_974),X_974)) != meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974)))
| composition(converse(X_974),X_974) = meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_974),X_974),meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974)))) )],[refute_0_2606,refute_0_2616]) ).
cnf(refute_0_2618,plain,
composition(converse(X_974),X_974) = meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_974),X_974)),meet(converse(composition(converse(X_974),X_974)),converse(composition(top,X_974)))) )],[refute_0_2603,refute_0_2617]) ).
cnf(refute_0_2619,plain,
composition(converse(X_1965),X_1965) = meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)),
inference(subst,[],[refute_0_2618:[bind(X_974,$fot(X_1965))]]) ).
cnf(refute_0_2620,plain,
( composition(converse(X_1965),X_1965) != meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))
| meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)) = composition(converse(X_1965),X_1965) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(converse(X_1965),X_1965))),bind(Y,$fot(meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))]]) ).
cnf(refute_0_2621,plain,
meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)) = composition(converse(X_1965),X_1965),
inference(resolve,[$cnf( $equal(composition(converse(X_1965),X_1965),meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))) )],[refute_0_2619,refute_0_2620]) ).
cnf(refute_0_2622,plain,
( join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))) != meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))
| meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)) != composition(converse(X_1965),X_1965)
| join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))),meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))) ),[0,1,1,1],$fot(composition(converse(X_1965),X_1965))]]) ).
cnf(refute_0_2623,plain,
( join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))) != meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))
| join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)),composition(converse(X_1965),X_1965)) )],[refute_0_2621,refute_0_2622]) ).
cnf(refute_0_2624,plain,
join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))),
inference(resolve,[$cnf( $equal(join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))),meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))) )],[refute_0_1934,refute_0_2623]) ).
cnf(refute_0_2625,plain,
join(X_1965,meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = X_1965,
inference(subst,[],[refute_0_1904:[bind(X_51,$fot(composition(X_1965,composition(converse(X_1965),X_1965)))),bind(X_52,$fot(X_1965))]]) ).
cnf(refute_0_2626,plain,
( X_41 != meet(X_41,composition(X_41,top))
| meet(X_41,composition(X_41,top)) = X_41 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_41)),bind(Y,$fot(meet(X_41,composition(X_41,top))))]]) ).
cnf(refute_0_2627,plain,
meet(X_41,composition(X_41,top)) = X_41,
inference(resolve,[$cnf( $equal(X_41,meet(X_41,composition(X_41,top))) )],[refute_0_2370,refute_0_2626]) ).
cnf(refute_0_2628,plain,
meet(X_1965,composition(X_1965,top)) = X_1965,
inference(subst,[],[refute_0_2627:[bind(X_41,$fot(X_1965))]]) ).
cnf(refute_0_2629,plain,
converse(composition(top,composition(converse(X_974),X_974))) = composition(converse(composition(converse(X_974),X_974)),converse(top)),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(top)),bind(B,$fot(composition(converse(X_974),X_974)))]]) ).
cnf(refute_0_2630,plain,
( composition(top,composition(converse(X_974),X_974)) != composition(top,X_974)
| converse(composition(top,composition(converse(X_974),X_974))) != composition(converse(composition(converse(X_974),X_974)),converse(top))
| converse(composition(top,X_974)) = composition(converse(composition(converse(X_974),X_974)),converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(converse(X_974),X_974))),composition(converse(composition(converse(X_974),X_974)),converse(top))) ),[0,0],$fot(composition(top,X_974))]]) ).
cnf(refute_0_2631,plain,
( converse(composition(top,composition(converse(X_974),X_974))) != composition(converse(composition(converse(X_974),X_974)),converse(top))
| converse(composition(top,X_974)) = composition(converse(composition(converse(X_974),X_974)),converse(top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_974),X_974)),composition(top,X_974)) )],[refute_0_2600,refute_0_2630]) ).
cnf(refute_0_2632,plain,
converse(composition(top,X_974)) = composition(converse(composition(converse(X_974),X_974)),converse(top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(X_974),X_974))),composition(converse(composition(converse(X_974),X_974)),converse(top))) )],[refute_0_2629,refute_0_2631]) ).
cnf(refute_0_2633,plain,
converse(composition(top,composition(converse(A),X_35))) = composition(converse(composition(converse(A),X_35)),top),
inference(subst,[],[refute_0_2375:[bind(X_35,$fot(composition(converse(A),X_35)))]]) ).
cnf(refute_0_2634,plain,
( converse(composition(converse(A),X_35)) != composition(converse(X_35),A)
| converse(composition(top,composition(converse(A),X_35))) != composition(converse(composition(converse(A),X_35)),top)
| converse(composition(top,composition(converse(A),X_35))) = composition(composition(converse(X_35),A),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(converse(A),X_35))),composition(converse(composition(converse(A),X_35)),top)) ),[1,0],$fot(composition(converse(X_35),A))]]) ).
cnf(refute_0_2635,plain,
( converse(composition(top,composition(converse(A),X_35))) != composition(converse(composition(converse(A),X_35)),top)
| converse(composition(top,composition(converse(A),X_35))) = composition(composition(converse(X_35),A),top) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),X_35)),composition(converse(X_35),A)) )],[refute_0_20,refute_0_2634]) ).
cnf(refute_0_2636,plain,
converse(composition(top,composition(converse(A),X_35))) = composition(composition(converse(X_35),A),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(A),X_35))),composition(converse(composition(converse(A),X_35)),top)) )],[refute_0_2633,refute_0_2635]) ).
cnf(refute_0_2637,plain,
composition(composition(converse(X_35),A),top) = composition(converse(X_35),composition(A,top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(X_35))),bind(B,$fot(A)),bind(C,$fot(top))]]) ).
cnf(refute_0_2638,plain,
( composition(composition(converse(X_35),A),top) != composition(converse(X_35),composition(A,top))
| converse(composition(top,composition(converse(A),X_35))) != composition(composition(converse(X_35),A),top)
| converse(composition(top,composition(converse(A),X_35))) = composition(converse(X_35),composition(A,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(converse(A),X_35))),composition(composition(converse(X_35),A),top)) ),[1],$fot(composition(converse(X_35),composition(A,top)))]]) ).
cnf(refute_0_2639,plain,
( converse(composition(top,composition(converse(A),X_35))) != composition(composition(converse(X_35),A),top)
| converse(composition(top,composition(converse(A),X_35))) = composition(converse(X_35),composition(A,top)) ),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_35),A),top),composition(converse(X_35),composition(A,top))) )],[refute_0_2637,refute_0_2638]) ).
cnf(refute_0_2640,plain,
converse(composition(top,composition(converse(A),X_35))) = composition(converse(X_35),composition(A,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(A),X_35))),composition(composition(converse(X_35),A),top)) )],[refute_0_2636,refute_0_2639]) ).
cnf(refute_0_2641,plain,
converse(composition(top,composition(converse(X_974),X_974))) = composition(converse(X_974),composition(X_974,top)),
inference(subst,[],[refute_0_2640:[bind(A,$fot(X_974)),bind(X_35,$fot(X_974))]]) ).
cnf(refute_0_2642,plain,
composition(converse(composition(converse(X_974),X_974)),converse(top)) = converse(composition(top,composition(converse(X_974),X_974))),
inference(subst,[],[refute_0_1734:[bind(A,$fot(top)),bind(B,$fot(composition(converse(X_974),X_974)))]]) ).
cnf(refute_0_2643,plain,
( composition(converse(composition(converse(X_974),X_974)),converse(top)) != converse(composition(top,composition(converse(X_974),X_974)))
| converse(composition(top,composition(converse(X_974),X_974))) != composition(converse(X_974),composition(X_974,top))
| composition(converse(composition(converse(X_974),X_974)),converse(top)) = composition(converse(X_974),composition(X_974,top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(composition(converse(X_974),X_974)),converse(top)))),bind(Y,$fot(converse(composition(top,composition(converse(X_974),X_974))))),bind(Z,$fot(composition(converse(X_974),composition(X_974,top))))]]) ).
cnf(refute_0_2644,plain,
( converse(composition(top,composition(converse(X_974),X_974))) != composition(converse(X_974),composition(X_974,top))
| composition(converse(composition(converse(X_974),X_974)),converse(top)) = composition(converse(X_974),composition(X_974,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(X_974),X_974)),converse(top)),converse(composition(top,composition(converse(X_974),X_974)))) )],[refute_0_2642,refute_0_2643]) ).
cnf(refute_0_2645,plain,
composition(converse(composition(converse(X_974),X_974)),converse(top)) = composition(converse(X_974),composition(X_974,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(X_974),X_974))),composition(converse(X_974),composition(X_974,top))) )],[refute_0_2641,refute_0_2644]) ).
cnf(refute_0_2646,plain,
( composition(converse(composition(converse(X_974),X_974)),converse(top)) != composition(converse(X_974),composition(X_974,top))
| converse(composition(top,X_974)) != composition(converse(composition(converse(X_974),X_974)),converse(top))
| converse(composition(top,X_974)) = composition(converse(X_974),composition(X_974,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,X_974)),composition(converse(composition(converse(X_974),X_974)),converse(top))) ),[1],$fot(composition(converse(X_974),composition(X_974,top)))]]) ).
cnf(refute_0_2647,plain,
( converse(composition(top,X_974)) != composition(converse(composition(converse(X_974),X_974)),converse(top))
| converse(composition(top,X_974)) = composition(converse(X_974),composition(X_974,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(X_974),X_974)),converse(top)),composition(converse(X_974),composition(X_974,top))) )],[refute_0_2645,refute_0_2646]) ).
cnf(refute_0_2648,plain,
converse(composition(top,X_974)) = composition(converse(X_974),composition(X_974,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_974)),composition(converse(composition(converse(X_974),X_974)),converse(top))) )],[refute_0_2632,refute_0_2647]) ).
cnf(refute_0_2649,plain,
converse(composition(top,converse(X_35))) = composition(converse(converse(X_35)),composition(converse(X_35),top)),
inference(subst,[],[refute_0_2648:[bind(X_974,$fot(converse(X_35)))]]) ).
cnf(refute_0_2650,plain,
( composition(converse(X_35),top) != converse(composition(top,X_35))
| converse(composition(top,converse(X_35))) != composition(converse(converse(X_35)),composition(converse(X_35),top))
| converse(composition(top,converse(X_35))) = composition(converse(converse(X_35)),converse(composition(top,X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,converse(X_35))),composition(converse(converse(X_35)),composition(converse(X_35),top))) ),[1,1],$fot(converse(composition(top,X_35)))]]) ).
cnf(refute_0_2651,plain,
( converse(composition(top,converse(X_35))) != composition(converse(converse(X_35)),composition(converse(X_35),top))
| converse(composition(top,converse(X_35))) = composition(converse(converse(X_35)),converse(composition(top,X_35))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_35),top),converse(composition(top,X_35))) )],[refute_0_2377,refute_0_2650]) ).
cnf(refute_0_2652,plain,
converse(composition(top,converse(X_35))) = composition(converse(converse(X_35)),converse(composition(top,X_35))),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X_35))),composition(converse(converse(X_35)),composition(converse(X_35),top))) )],[refute_0_2649,refute_0_2651]) ).
cnf(refute_0_2653,plain,
composition(X_35,converse(top)) = composition(X_35,converse(top)),
introduced(tautology,[refl,[$fot(composition(X_35,converse(top)))]]) ).
cnf(refute_0_2654,plain,
( composition(X_35,converse(top)) != composition(X_35,converse(top))
| converse(top) != top
| composition(X_35,converse(top)) = composition(X_35,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_35,converse(top)),composition(X_35,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2655,plain,
( converse(top) != top
| composition(X_35,converse(top)) = composition(X_35,top) ),
inference(resolve,[$cnf( $equal(composition(X_35,converse(top)),composition(X_35,converse(top))) )],[refute_0_2653,refute_0_2654]) ).
cnf(refute_0_2656,plain,
composition(X_35,converse(top)) = composition(X_35,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_2655]) ).
cnf(refute_0_2657,plain,
converse(composition(top,converse(X_35))) = composition(X_35,converse(top)),
inference(subst,[],[refute_0_104:[bind(A,$fot(X_35)),bind(X_34,$fot(top))]]) ).
cnf(refute_0_2658,plain,
( composition(X_35,converse(top)) != composition(X_35,top)
| converse(composition(top,converse(X_35))) != composition(X_35,converse(top))
| converse(composition(top,converse(X_35))) = composition(X_35,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,converse(X_35))))),bind(Y,$fot(composition(X_35,converse(top)))),bind(Z,$fot(composition(X_35,top)))]]) ).
cnf(refute_0_2659,plain,
( composition(X_35,converse(top)) != composition(X_35,top)
| converse(composition(top,converse(X_35))) = composition(X_35,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X_35))),composition(X_35,converse(top))) )],[refute_0_2657,refute_0_2658]) ).
cnf(refute_0_2660,plain,
converse(composition(top,converse(X_35))) = composition(X_35,top),
inference(resolve,[$cnf( $equal(composition(X_35,converse(top)),composition(X_35,top)) )],[refute_0_2656,refute_0_2659]) ).
cnf(refute_0_2661,plain,
( converse(composition(top,converse(X_35))) != composition(X_35,top)
| converse(composition(top,converse(X_35))) != composition(converse(converse(X_35)),converse(composition(top,X_35)))
| composition(X_35,top) = composition(converse(converse(X_35)),converse(composition(top,X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,converse(X_35))),composition(converse(converse(X_35)),converse(composition(top,X_35)))) ),[0],$fot(composition(X_35,top))]]) ).
cnf(refute_0_2662,plain,
( converse(composition(top,converse(X_35))) != composition(converse(converse(X_35)),converse(composition(top,X_35)))
| composition(X_35,top) = composition(converse(converse(X_35)),converse(composition(top,X_35))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X_35))),composition(X_35,top)) )],[refute_0_2660,refute_0_2661]) ).
cnf(refute_0_2663,plain,
converse(composition(composition(top,X_35),converse(X_35))) = composition(X_35,converse(composition(top,X_35))),
inference(subst,[],[refute_0_104:[bind(A,$fot(X_35)),bind(X_34,$fot(composition(top,X_35)))]]) ).
cnf(refute_0_2664,plain,
composition(converse(converse(X_35)),converse(composition(top,X_35))) = converse(composition(composition(top,X_35),converse(X_35))),
inference(subst,[],[refute_0_1734:[bind(A,$fot(composition(top,X_35))),bind(B,$fot(converse(X_35)))]]) ).
cnf(refute_0_2665,plain,
( composition(converse(converse(X_35)),converse(composition(top,X_35))) != converse(composition(composition(top,X_35),converse(X_35)))
| converse(composition(composition(top,X_35),converse(X_35))) != composition(X_35,converse(composition(top,X_35)))
| composition(converse(converse(X_35)),converse(composition(top,X_35))) = composition(X_35,converse(composition(top,X_35))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(converse(X_35)),converse(composition(top,X_35))))),bind(Y,$fot(converse(composition(composition(top,X_35),converse(X_35))))),bind(Z,$fot(composition(X_35,converse(composition(top,X_35)))))]]) ).
cnf(refute_0_2666,plain,
( converse(composition(composition(top,X_35),converse(X_35))) != composition(X_35,converse(composition(top,X_35)))
| composition(converse(converse(X_35)),converse(composition(top,X_35))) = composition(X_35,converse(composition(top,X_35))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_35)),converse(composition(top,X_35))),converse(composition(composition(top,X_35),converse(X_35)))) )],[refute_0_2664,refute_0_2665]) ).
cnf(refute_0_2667,plain,
composition(converse(converse(X_35)),converse(composition(top,X_35))) = composition(X_35,converse(composition(top,X_35))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,X_35),converse(X_35))),composition(X_35,converse(composition(top,X_35)))) )],[refute_0_2663,refute_0_2666]) ).
cnf(refute_0_2668,plain,
( composition(X_35,top) != composition(converse(converse(X_35)),converse(composition(top,X_35)))
| composition(converse(converse(X_35)),converse(composition(top,X_35))) != composition(X_35,converse(composition(top,X_35)))
| composition(X_35,top) = composition(X_35,converse(composition(top,X_35))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_35,top),composition(X_35,converse(composition(top,X_35)))) ),[0],$fot(composition(converse(converse(X_35)),converse(composition(top,X_35))))]]) ).
cnf(refute_0_2669,plain,
( composition(X_35,top) != composition(converse(converse(X_35)),converse(composition(top,X_35)))
| composition(X_35,top) = composition(X_35,converse(composition(top,X_35))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_35)),converse(composition(top,X_35))),composition(X_35,converse(composition(top,X_35)))) )],[refute_0_2667,refute_0_2668]) ).
cnf(refute_0_2670,plain,
( converse(composition(top,converse(X_35))) != composition(converse(converse(X_35)),converse(composition(top,X_35)))
| composition(X_35,top) = composition(X_35,converse(composition(top,X_35))) ),
inference(resolve,[$cnf( $equal(composition(X_35,top),composition(converse(converse(X_35)),converse(composition(top,X_35)))) )],[refute_0_2662,refute_0_2669]) ).
cnf(refute_0_2671,plain,
composition(X_35,top) = composition(X_35,converse(composition(top,X_35))),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X_35))),composition(converse(converse(X_35)),converse(composition(top,X_35)))) )],[refute_0_2652,refute_0_2670]) ).
cnf(refute_0_2672,plain,
( composition(X_35,top) != composition(X_35,converse(composition(top,X_35)))
| composition(X_35,converse(composition(top,X_35))) = composition(X_35,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(X_35,top))),bind(Y,$fot(composition(X_35,converse(composition(top,X_35)))))]]) ).
cnf(refute_0_2673,plain,
composition(X_35,converse(composition(top,X_35))) = composition(X_35,top),
inference(resolve,[$cnf( $equal(composition(X_35,top),composition(X_35,converse(composition(top,X_35)))) )],[refute_0_2671,refute_0_2672]) ).
cnf(refute_0_2674,plain,
composition(X_1965,converse(composition(top,X_1965))) = composition(X_1965,top),
inference(subst,[],[refute_0_2673:[bind(X_35,$fot(X_1965))]]) ).
cnf(refute_0_2675,plain,
meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))) = meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),
introduced(tautology,[refl,[$fot(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))))]]) ).
cnf(refute_0_2676,plain,
( composition(X_1965,converse(composition(top,X_1965))) != composition(X_1965,top)
| meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))) != meet(X_1965,composition(X_1965,converse(composition(top,X_1965))))
| meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))) = meet(X_1965,composition(X_1965,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,converse(composition(top,X_1965))))) ),[1,1],$fot(composition(X_1965,top))]]) ).
cnf(refute_0_2677,plain,
( composition(X_1965,converse(composition(top,X_1965))) != composition(X_1965,top)
| meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))) = meet(X_1965,composition(X_1965,top)) ),
inference(resolve,[$cnf( $equal(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,converse(composition(top,X_1965))))) )],[refute_0_2675,refute_0_2676]) ).
cnf(refute_0_2678,plain,
meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))) = meet(X_1965,composition(X_1965,top)),
inference(resolve,[$cnf( $equal(composition(X_1965,converse(composition(top,X_1965))),composition(X_1965,top)) )],[refute_0_2674,refute_0_2677]) ).
cnf(refute_0_2679,plain,
( meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))) != meet(X_1965,composition(X_1965,top))
| meet(X_1965,composition(X_1965,top)) != X_1965
| meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))) = X_1965 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))))),bind(Y,$fot(meet(X_1965,composition(X_1965,top)))),bind(Z,$fot(X_1965))]]) ).
cnf(refute_0_2680,plain,
( meet(X_1965,composition(X_1965,top)) != X_1965
| meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))) = X_1965 ),
inference(resolve,[$cnf( $equal(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,top))) )],[refute_0_2678,refute_0_2679]) ).
cnf(refute_0_2681,plain,
meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))) = X_1965,
inference(resolve,[$cnf( $equal(meet(X_1965,composition(X_1965,top)),X_1965) )],[refute_0_2628,refute_0_2680]) ).
cnf(refute_0_2682,plain,
join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))),
introduced(tautology,[refl,[$fot(join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))))]]) ).
cnf(refute_0_2683,plain,
( join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) != join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))))
| meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))) != X_1965
| join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = join(X_1965,meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))),join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))))) ),[1,0],$fot(X_1965)]]) ).
cnf(refute_0_2684,plain,
( meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))) != X_1965
| join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = join(X_1965,meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))),join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))))) )],[refute_0_2682,refute_0_2683]) ).
cnf(refute_0_2685,plain,
join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = join(X_1965,meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))),
inference(resolve,[$cnf( $equal(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),X_1965) )],[refute_0_2681,refute_0_2684]) ).
cnf(refute_0_2686,plain,
( join(X_1965,meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) != X_1965
| join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) != join(X_1965,meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))))
| join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = X_1965 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))))),bind(Y,$fot(join(X_1965,meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))))),bind(Z,$fot(X_1965))]]) ).
cnf(refute_0_2687,plain,
( join(X_1965,meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) != X_1965
| join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = X_1965 ),
inference(resolve,[$cnf( $equal(join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))),join(X_1965,meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))))) )],[refute_0_2685,refute_0_2686]) ).
cnf(refute_0_2688,plain,
join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = X_1965,
inference(resolve,[$cnf( $equal(join(X_1965,meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))),X_1965) )],[refute_0_2625,refute_0_2687]) ).
cnf(refute_0_2689,plain,
complement(complement(join(complement(X_614),X_615))) = join(complement(X_614),X_615),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(join(complement(X_614),X_615)))]]) ).
cnf(refute_0_2690,plain,
meet(X_614,complement(X_615)) = complement(join(complement(X_614),X_615)),
inference(subst,[],[refute_0_1834:[bind(X_361,$fot(X_614)),bind(X_363,$fot(X_615))]]) ).
cnf(refute_0_2691,plain,
( meet(X_614,complement(X_615)) != complement(join(complement(X_614),X_615))
| complement(join(complement(X_614),X_615)) = meet(X_614,complement(X_615)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_614,complement(X_615)))),bind(Y,$fot(complement(join(complement(X_614),X_615))))]]) ).
cnf(refute_0_2692,plain,
complement(join(complement(X_614),X_615)) = meet(X_614,complement(X_615)),
inference(resolve,[$cnf( $equal(meet(X_614,complement(X_615)),complement(join(complement(X_614),X_615))) )],[refute_0_2690,refute_0_2691]) ).
cnf(refute_0_2693,plain,
( complement(complement(join(complement(X_614),X_615))) != join(complement(X_614),X_615)
| complement(join(complement(X_614),X_615)) != meet(X_614,complement(X_615))
| complement(meet(X_614,complement(X_615))) = join(complement(X_614),X_615) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(complement(X_614),X_615))),join(complement(X_614),X_615)) ),[0,0],$fot(meet(X_614,complement(X_615)))]]) ).
cnf(refute_0_2694,plain,
( complement(complement(join(complement(X_614),X_615))) != join(complement(X_614),X_615)
| complement(meet(X_614,complement(X_615))) = join(complement(X_614),X_615) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_614),X_615)),meet(X_614,complement(X_615))) )],[refute_0_2692,refute_0_2693]) ).
cnf(refute_0_2695,plain,
complement(meet(X_614,complement(X_615))) = join(complement(X_614),X_615),
inference(resolve,[$cnf( $equal(complement(complement(join(complement(X_614),X_615))),join(complement(X_614),X_615)) )],[refute_0_2689,refute_0_2694]) ).
cnf(refute_0_2696,plain,
complement(meet(X_716,complement(X_717))) = join(complement(X_716),X_717),
inference(subst,[],[refute_0_2695:[bind(X_614,$fot(X_716)),bind(X_615,$fot(X_717))]]) ).
cnf(refute_0_2697,plain,
meet(complement(X_717),X_716) = meet(X_716,complement(X_717)),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(complement(X_717))),bind(X_16,$fot(X_716))]]) ).
cnf(refute_0_2698,plain,
( meet(complement(X_717),X_716) != meet(X_716,complement(X_717))
| meet(X_716,complement(X_717)) = meet(complement(X_717),X_716) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(X_717),X_716))),bind(Y,$fot(meet(X_716,complement(X_717))))]]) ).
cnf(refute_0_2699,plain,
meet(X_716,complement(X_717)) = meet(complement(X_717),X_716),
inference(resolve,[$cnf( $equal(meet(complement(X_717),X_716),meet(X_716,complement(X_717))) )],[refute_0_2697,refute_0_2698]) ).
cnf(refute_0_2700,plain,
( complement(meet(X_716,complement(X_717))) != join(complement(X_716),X_717)
| meet(X_716,complement(X_717)) != meet(complement(X_717),X_716)
| complement(meet(complement(X_717),X_716)) = join(complement(X_716),X_717) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_716,complement(X_717))),join(complement(X_716),X_717)) ),[0,0],$fot(meet(complement(X_717),X_716))]]) ).
cnf(refute_0_2701,plain,
( complement(meet(X_716,complement(X_717))) != join(complement(X_716),X_717)
| complement(meet(complement(X_717),X_716)) = join(complement(X_716),X_717) ),
inference(resolve,[$cnf( $equal(meet(X_716,complement(X_717)),meet(complement(X_717),X_716)) )],[refute_0_2699,refute_0_2700]) ).
cnf(refute_0_2702,plain,
complement(meet(complement(X_717),X_716)) = join(complement(X_716),X_717),
inference(resolve,[$cnf( $equal(complement(meet(X_716,complement(X_717))),join(complement(X_716),X_717)) )],[refute_0_2696,refute_0_2701]) ).
cnf(refute_0_2703,plain,
complement(meet(complement(X_1911),complement(meet(X_362,X_363)))) = join(complement(complement(meet(X_362,X_363))),X_1911),
inference(subst,[],[refute_0_2702:[bind(X_716,$fot(complement(meet(X_362,X_363)))),bind(X_717,$fot(X_1911))]]) ).
cnf(refute_0_2704,plain,
meet(X_361,complement(meet(X_362,X_363))) = complement(join(complement(X_361),meet(X_362,X_363))),
inference(subst,[],[refute_0_364:[bind(A,$fot(X_361)),bind(X_15,$fot(X_362)),bind(X_16,$fot(X_363))]]) ).
cnf(refute_0_2705,plain,
meet(X_363,X_362) = meet(X_362,X_363),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(X_363)),bind(X_16,$fot(X_362))]]) ).
cnf(refute_0_2706,plain,
( meet(X_363,X_362) != meet(X_362,X_363)
| meet(X_362,X_363) = meet(X_363,X_362) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_363,X_362))),bind(Y,$fot(meet(X_362,X_363)))]]) ).
cnf(refute_0_2707,plain,
meet(X_362,X_363) = meet(X_363,X_362),
inference(resolve,[$cnf( $equal(meet(X_363,X_362),meet(X_362,X_363)) )],[refute_0_2705,refute_0_2706]) ).
cnf(refute_0_2708,plain,
( meet(X_361,complement(meet(X_362,X_363))) != complement(join(complement(X_361),meet(X_362,X_363)))
| meet(X_362,X_363) != meet(X_363,X_362)
| meet(X_361,complement(meet(X_363,X_362))) = complement(join(complement(X_361),meet(X_362,X_363))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(meet(X_362,X_363))),complement(join(complement(X_361),meet(X_362,X_363)))) ),[0,1,0],$fot(meet(X_363,X_362))]]) ).
cnf(refute_0_2709,plain,
( meet(X_361,complement(meet(X_362,X_363))) != complement(join(complement(X_361),meet(X_362,X_363)))
| meet(X_361,complement(meet(X_363,X_362))) = complement(join(complement(X_361),meet(X_362,X_363))) ),
inference(resolve,[$cnf( $equal(meet(X_362,X_363),meet(X_363,X_362)) )],[refute_0_2707,refute_0_2708]) ).
cnf(refute_0_2710,plain,
meet(X_361,complement(meet(X_363,X_362))) = complement(join(complement(X_361),meet(X_362,X_363))),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(X_362,X_363))),complement(join(complement(X_361),meet(X_362,X_363)))) )],[refute_0_2704,refute_0_2709]) ).
cnf(refute_0_2711,plain,
complement(join(complement(X_361),meet(X_362,X_363))) = meet(X_361,complement(meet(X_362,X_363))),
inference(subst,[],[refute_0_366:[bind(A,$fot(X_361)),bind(X_15,$fot(X_362)),bind(X_16,$fot(X_363))]]) ).
cnf(refute_0_2712,plain,
( complement(join(complement(X_361),meet(X_362,X_363))) != meet(X_361,complement(meet(X_362,X_363)))
| meet(X_361,complement(meet(X_363,X_362))) != complement(join(complement(X_361),meet(X_362,X_363)))
| meet(X_361,complement(meet(X_363,X_362))) = meet(X_361,complement(meet(X_362,X_363))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(meet(X_363,X_362))),complement(join(complement(X_361),meet(X_362,X_363)))) ),[1],$fot(meet(X_361,complement(meet(X_362,X_363))))]]) ).
cnf(refute_0_2713,plain,
( meet(X_361,complement(meet(X_363,X_362))) != complement(join(complement(X_361),meet(X_362,X_363)))
| meet(X_361,complement(meet(X_363,X_362))) = meet(X_361,complement(meet(X_362,X_363))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_361),meet(X_362,X_363))),meet(X_361,complement(meet(X_362,X_363)))) )],[refute_0_2711,refute_0_2712]) ).
cnf(refute_0_2714,plain,
meet(X_361,complement(meet(X_363,X_362))) = meet(X_361,complement(meet(X_362,X_363))),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(X_363,X_362))),complement(join(complement(X_361),meet(X_362,X_363)))) )],[refute_0_2710,refute_0_2713]) ).
cnf(refute_0_2715,plain,
meet(complement(X_1911),complement(meet(X_363,X_362))) = meet(complement(X_1911),complement(meet(X_362,X_363))),
inference(subst,[],[refute_0_2714:[bind(X_361,$fot(complement(X_1911)))]]) ).
cnf(refute_0_2716,plain,
( meet(complement(X_1911),complement(meet(X_363,X_362))) != meet(complement(X_1911),complement(meet(X_362,X_363)))
| meet(complement(X_1911),complement(meet(X_362,X_363))) = meet(complement(X_1911),complement(meet(X_363,X_362))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(complement(X_1911),complement(meet(X_363,X_362))))),bind(Y,$fot(meet(complement(X_1911),complement(meet(X_362,X_363)))))]]) ).
cnf(refute_0_2717,plain,
meet(complement(X_1911),complement(meet(X_362,X_363))) = meet(complement(X_1911),complement(meet(X_363,X_362))),
inference(resolve,[$cnf( $equal(meet(complement(X_1911),complement(meet(X_363,X_362))),meet(complement(X_1911),complement(meet(X_362,X_363)))) )],[refute_0_2715,refute_0_2716]) ).
cnf(refute_0_2718,plain,
( complement(meet(complement(X_1911),complement(meet(X_362,X_363)))) != join(complement(complement(meet(X_362,X_363))),X_1911)
| meet(complement(X_1911),complement(meet(X_362,X_363))) != meet(complement(X_1911),complement(meet(X_363,X_362)))
| complement(meet(complement(X_1911),complement(meet(X_363,X_362)))) = join(complement(complement(meet(X_362,X_363))),X_1911) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(X_1911),complement(meet(X_362,X_363)))),join(complement(complement(meet(X_362,X_363))),X_1911)) ),[0,0],$fot(meet(complement(X_1911),complement(meet(X_363,X_362))))]]) ).
cnf(refute_0_2719,plain,
( complement(meet(complement(X_1911),complement(meet(X_362,X_363)))) != join(complement(complement(meet(X_362,X_363))),X_1911)
| complement(meet(complement(X_1911),complement(meet(X_363,X_362)))) = join(complement(complement(meet(X_362,X_363))),X_1911) ),
inference(resolve,[$cnf( $equal(meet(complement(X_1911),complement(meet(X_362,X_363))),meet(complement(X_1911),complement(meet(X_363,X_362)))) )],[refute_0_2717,refute_0_2718]) ).
cnf(refute_0_2720,plain,
complement(meet(complement(X_1911),complement(meet(X_363,X_362)))) = join(complement(complement(meet(X_362,X_363))),X_1911),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_1911),complement(meet(X_362,X_363)))),join(complement(complement(meet(X_362,X_363))),X_1911)) )],[refute_0_2703,refute_0_2719]) ).
cnf(refute_0_2721,plain,
complement(complement(meet(X_363,X_362))) = meet(X_363,X_362),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(meet(X_363,X_362)))]]) ).
cnf(refute_0_2722,plain,
join(complement(complement(meet(X_363,X_362))),X_1911) = join(complement(complement(meet(X_363,X_362))),X_1911),
introduced(tautology,[refl,[$fot(join(complement(complement(meet(X_363,X_362))),X_1911))]]) ).
cnf(refute_0_2723,plain,
( complement(complement(meet(X_363,X_362))) != meet(X_363,X_362)
| join(complement(complement(meet(X_363,X_362))),X_1911) != join(complement(complement(meet(X_363,X_362))),X_1911)
| join(complement(complement(meet(X_363,X_362))),X_1911) = join(meet(X_363,X_362),X_1911) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(meet(X_363,X_362))),X_1911),join(complement(complement(meet(X_363,X_362))),X_1911)) ),[1,0],$fot(meet(X_363,X_362))]]) ).
cnf(refute_0_2724,plain,
( complement(complement(meet(X_363,X_362))) != meet(X_363,X_362)
| join(complement(complement(meet(X_363,X_362))),X_1911) = join(meet(X_363,X_362),X_1911) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X_363,X_362))),X_1911),join(complement(complement(meet(X_363,X_362))),X_1911)) )],[refute_0_2722,refute_0_2723]) ).
cnf(refute_0_2725,plain,
join(complement(complement(meet(X_363,X_362))),X_1911) = join(meet(X_363,X_362),X_1911),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_363,X_362))),meet(X_363,X_362)) )],[refute_0_2721,refute_0_2724]) ).
cnf(refute_0_2726,plain,
complement(meet(complement(X_1911),complement(meet(X_363,X_362)))) = join(complement(complement(meet(X_363,X_362))),X_1911),
inference(subst,[],[refute_0_2702:[bind(X_716,$fot(complement(meet(X_363,X_362)))),bind(X_717,$fot(X_1911))]]) ).
cnf(refute_0_2727,plain,
( complement(meet(complement(X_1911),complement(meet(X_363,X_362)))) != join(complement(complement(meet(X_363,X_362))),X_1911)
| join(complement(complement(meet(X_363,X_362))),X_1911) != join(meet(X_363,X_362),X_1911)
| complement(meet(complement(X_1911),complement(meet(X_363,X_362)))) = join(meet(X_363,X_362),X_1911) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(meet(complement(X_1911),complement(meet(X_363,X_362)))))),bind(Y,$fot(join(complement(complement(meet(X_363,X_362))),X_1911))),bind(Z,$fot(join(meet(X_363,X_362),X_1911)))]]) ).
cnf(refute_0_2728,plain,
( join(complement(complement(meet(X_363,X_362))),X_1911) != join(meet(X_363,X_362),X_1911)
| complement(meet(complement(X_1911),complement(meet(X_363,X_362)))) = join(meet(X_363,X_362),X_1911) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_1911),complement(meet(X_363,X_362)))),join(complement(complement(meet(X_363,X_362))),X_1911)) )],[refute_0_2726,refute_0_2727]) ).
cnf(refute_0_2729,plain,
complement(meet(complement(X_1911),complement(meet(X_363,X_362)))) = join(meet(X_363,X_362),X_1911),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X_363,X_362))),X_1911),join(meet(X_363,X_362),X_1911)) )],[refute_0_2725,refute_0_2728]) ).
cnf(refute_0_2730,plain,
( complement(meet(complement(X_1911),complement(meet(X_363,X_362)))) != join(complement(complement(meet(X_362,X_363))),X_1911)
| complement(meet(complement(X_1911),complement(meet(X_363,X_362)))) != join(meet(X_363,X_362),X_1911)
| join(meet(X_363,X_362),X_1911) = join(complement(complement(meet(X_362,X_363))),X_1911) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(X_1911),complement(meet(X_363,X_362)))),join(complement(complement(meet(X_362,X_363))),X_1911)) ),[0],$fot(join(meet(X_363,X_362),X_1911))]]) ).
cnf(refute_0_2731,plain,
( complement(meet(complement(X_1911),complement(meet(X_363,X_362)))) != join(complement(complement(meet(X_362,X_363))),X_1911)
| join(meet(X_363,X_362),X_1911) = join(complement(complement(meet(X_362,X_363))),X_1911) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_1911),complement(meet(X_363,X_362)))),join(meet(X_363,X_362),X_1911)) )],[refute_0_2729,refute_0_2730]) ).
cnf(refute_0_2732,plain,
complement(complement(meet(X_362,X_363))) = meet(X_362,X_363),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(meet(X_362,X_363)))]]) ).
cnf(refute_0_2733,plain,
join(complement(complement(meet(X_362,X_363))),X_1911) = join(complement(complement(meet(X_362,X_363))),X_1911),
introduced(tautology,[refl,[$fot(join(complement(complement(meet(X_362,X_363))),X_1911))]]) ).
cnf(refute_0_2734,plain,
( complement(complement(meet(X_362,X_363))) != meet(X_362,X_363)
| join(complement(complement(meet(X_362,X_363))),X_1911) != join(complement(complement(meet(X_362,X_363))),X_1911)
| join(complement(complement(meet(X_362,X_363))),X_1911) = join(meet(X_362,X_363),X_1911) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(meet(X_362,X_363))),X_1911),join(complement(complement(meet(X_362,X_363))),X_1911)) ),[1,0],$fot(meet(X_362,X_363))]]) ).
cnf(refute_0_2735,plain,
( complement(complement(meet(X_362,X_363))) != meet(X_362,X_363)
| join(complement(complement(meet(X_362,X_363))),X_1911) = join(meet(X_362,X_363),X_1911) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X_362,X_363))),X_1911),join(complement(complement(meet(X_362,X_363))),X_1911)) )],[refute_0_2733,refute_0_2734]) ).
cnf(refute_0_2736,plain,
join(complement(complement(meet(X_362,X_363))),X_1911) = join(meet(X_362,X_363),X_1911),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_362,X_363))),meet(X_362,X_363)) )],[refute_0_2732,refute_0_2735]) ).
cnf(refute_0_2737,plain,
( join(complement(complement(meet(X_362,X_363))),X_1911) != join(meet(X_362,X_363),X_1911)
| join(meet(X_363,X_362),X_1911) != join(complement(complement(meet(X_362,X_363))),X_1911)
| join(meet(X_363,X_362),X_1911) = join(meet(X_362,X_363),X_1911) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_363,X_362),X_1911),join(complement(complement(meet(X_362,X_363))),X_1911)) ),[1],$fot(join(meet(X_362,X_363),X_1911))]]) ).
cnf(refute_0_2738,plain,
( join(meet(X_363,X_362),X_1911) != join(complement(complement(meet(X_362,X_363))),X_1911)
| join(meet(X_363,X_362),X_1911) = join(meet(X_362,X_363),X_1911) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X_362,X_363))),X_1911),join(meet(X_362,X_363),X_1911)) )],[refute_0_2736,refute_0_2737]) ).
cnf(refute_0_2739,plain,
( complement(meet(complement(X_1911),complement(meet(X_363,X_362)))) != join(complement(complement(meet(X_362,X_363))),X_1911)
| join(meet(X_363,X_362),X_1911) = join(meet(X_362,X_363),X_1911) ),
inference(resolve,[$cnf( $equal(join(meet(X_363,X_362),X_1911),join(complement(complement(meet(X_362,X_363))),X_1911)) )],[refute_0_2731,refute_0_2738]) ).
cnf(refute_0_2740,plain,
join(meet(X_363,X_362),X_1911) = join(meet(X_362,X_363),X_1911),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_1911),complement(meet(X_363,X_362)))),join(complement(complement(meet(X_362,X_363))),X_1911)) )],[refute_0_2720,refute_0_2739]) ).
cnf(refute_0_2741,plain,
( join(meet(X_363,X_362),X_1911) != join(meet(X_362,X_363),X_1911)
| join(meet(X_362,X_363),X_1911) = join(meet(X_363,X_362),X_1911) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(meet(X_363,X_362),X_1911))),bind(Y,$fot(join(meet(X_362,X_363),X_1911)))]]) ).
cnf(refute_0_2742,plain,
join(meet(X_362,X_363),X_1911) = join(meet(X_363,X_362),X_1911),
inference(resolve,[$cnf( $equal(join(meet(X_363,X_362),X_1911),join(meet(X_362,X_363),X_1911)) )],[refute_0_2740,refute_0_2741]) ).
cnf(refute_0_2743,plain,
join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))),
inference(subst,[],[refute_0_2742:[bind(X_1911,$fot(meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))))),bind(X_362,$fot(composition(X_1965,converse(composition(top,X_1965))))),bind(X_363,$fot(X_1965))]]) ).
cnf(refute_0_2744,plain,
( join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) != X_1965
| join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) != join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))))
| join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = X_1965 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))))),bind(Y,$fot(join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))))),bind(Z,$fot(X_1965))]]) ).
cnf(refute_0_2745,plain,
( join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) != X_1965
| join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = X_1965 ),
inference(resolve,[$cnf( $equal(join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))),join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))))) )],[refute_0_2743,refute_0_2744]) ).
cnf(refute_0_2746,plain,
join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) = X_1965,
inference(resolve,[$cnf( $equal(join(meet(X_1965,composition(X_1965,converse(composition(top,X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))),X_1965) )],[refute_0_2688,refute_0_2745]) ).
cnf(refute_0_2747,plain,
( join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) != X_1965
| join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) != meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))
| X_1965 = meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))),meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))) ),[0],$fot(X_1965)]]) ).
cnf(refute_0_2748,plain,
( join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) != meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))
| X_1965 = meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))),X_1965) )],[refute_0_2746,refute_0_2747]) ).
cnf(refute_0_2749,plain,
composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))) = composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))),
introduced(tautology,[refl,[$fot(composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))]]) ).
cnf(refute_0_2750,plain,
( composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))) != composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))
| meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)) != composition(converse(X_1965),X_1965)
| composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))) = composition(X_1965,composition(converse(X_1965),X_1965)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))),composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))) ),[1,1],$fot(composition(converse(X_1965),X_1965))]]) ).
cnf(refute_0_2751,plain,
( meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)) != composition(converse(X_1965),X_1965)
| composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))) = composition(X_1965,composition(converse(X_1965),X_1965)) ),
inference(resolve,[$cnf( $equal(composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))),composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))) )],[refute_0_2749,refute_0_2750]) ).
cnf(refute_0_2752,plain,
composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))) = composition(X_1965,composition(converse(X_1965),X_1965)),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)),composition(converse(X_1965),X_1965)) )],[refute_0_2621,refute_0_2751]) ).
cnf(refute_0_2753,plain,
meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))) = meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))),
introduced(tautology,[refl,[$fot(meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))))]]) ).
cnf(refute_0_2754,plain,
( composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))) != composition(X_1965,composition(converse(X_1965),X_1965))
| meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))) != meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))
| meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))) = meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))),meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))) ),[1,1],$fot(composition(X_1965,composition(converse(X_1965),X_1965)))]]) ).
cnf(refute_0_2755,plain,
( composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))) != composition(X_1965,composition(converse(X_1965),X_1965))
| meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))) = meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))) ),
inference(resolve,[$cnf( $equal(meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))),meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))) )],[refute_0_2753,refute_0_2754]) ).
cnf(refute_0_2756,plain,
meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))) = meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))),
inference(resolve,[$cnf( $equal(composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))),composition(X_1965,composition(converse(X_1965),X_1965))) )],[refute_0_2752,refute_0_2755]) ).
cnf(refute_0_2757,plain,
( X_1965 != meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))
| meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))) != meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))
| X_1965 = meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_1965,meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) ),[0],$fot(meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))))]]) ).
cnf(refute_0_2758,plain,
( X_1965 != meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))
| X_1965 = meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))) ),
inference(resolve,[$cnf( $equal(meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965)))),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) )],[refute_0_2756,refute_0_2757]) ).
cnf(refute_0_2759,plain,
( join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))) != meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))
| X_1965 = meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))) ),
inference(resolve,[$cnf( $equal(X_1965,meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))) )],[refute_0_2748,refute_0_2758]) ).
cnf(refute_0_2760,plain,
X_1965 = meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965))),
inference(resolve,[$cnf( $equal(join(meet(composition(X_1965,converse(composition(top,X_1965))),X_1965),meet(X_1965,composition(X_1965,composition(converse(X_1965),X_1965)))),meet(X_1965,composition(X_1965,meet(converse(composition(top,X_1965)),composition(converse(X_1965),X_1965))))) )],[refute_0_2624,refute_0_2759]) ).
cnf(refute_0_2761,plain,
X_42 = meet(X_42,composition(X_42,composition(converse(X_42),X_42))),
inference(subst,[],[refute_0_2760:[bind(X_1965,$fot(X_42))]]) ).
cnf(refute_0_2762,plain,
( X_42 != meet(X_42,composition(X_42,composition(converse(X_42),X_42)))
| meet(X_42,composition(X_42,composition(converse(X_42),X_42))) = X_42 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_42)),bind(Y,$fot(meet(X_42,composition(X_42,composition(converse(X_42),X_42)))))]]) ).
cnf(refute_0_2763,plain,
meet(X_42,composition(X_42,composition(converse(X_42),X_42))) = X_42,
inference(resolve,[$cnf( $equal(X_42,meet(X_42,composition(X_42,composition(converse(X_42),X_42)))) )],[refute_0_2761,refute_0_2762]) ).
cnf(refute_0_2764,plain,
( join(composition(X_42,composition(converse(X_42),X_42)),meet(X_42,composition(X_42,composition(converse(X_42),X_42)))) != composition(X_42,composition(converse(X_42),X_42))
| meet(X_42,composition(X_42,composition(converse(X_42),X_42))) != X_42
| join(composition(X_42,composition(converse(X_42),X_42)),X_42) = composition(X_42,composition(converse(X_42),X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_42,composition(converse(X_42),X_42)),meet(X_42,composition(X_42,composition(converse(X_42),X_42)))),composition(X_42,composition(converse(X_42),X_42))) ),[0,1],$fot(X_42)]]) ).
cnf(refute_0_2765,plain,
( join(composition(X_42,composition(converse(X_42),X_42)),meet(X_42,composition(X_42,composition(converse(X_42),X_42)))) != composition(X_42,composition(converse(X_42),X_42))
| join(composition(X_42,composition(converse(X_42),X_42)),X_42) = composition(X_42,composition(converse(X_42),X_42)) ),
inference(resolve,[$cnf( $equal(meet(X_42,composition(X_42,composition(converse(X_42),X_42))),X_42) )],[refute_0_2763,refute_0_2764]) ).
cnf(refute_0_2766,plain,
join(composition(X_42,composition(converse(X_42),X_42)),X_42) = composition(X_42,composition(converse(X_42),X_42)),
inference(resolve,[$cnf( $equal(join(composition(X_42,composition(converse(X_42),X_42)),meet(X_42,composition(X_42,composition(converse(X_42),X_42)))),composition(X_42,composition(converse(X_42),X_42))) )],[refute_0_1922,refute_0_2765]) ).
cnf(refute_0_2767,plain,
( composition(X_1433,join(one,A)) != join(X_1433,composition(X_1433,A))
| join(X_1433,composition(X_1433,A)) = composition(X_1433,join(one,A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(X_1433,join(one,A)))),bind(Y,$fot(join(X_1433,composition(X_1433,A))))]]) ).
cnf(refute_0_2768,plain,
join(X_1433,composition(X_1433,A)) = composition(X_1433,join(one,A)),
inference(resolve,[$cnf( $equal(composition(X_1433,join(one,A)),join(X_1433,composition(X_1433,A))) )],[refute_0_1785,refute_0_2767]) ).
cnf(refute_0_2769,plain,
join(X_42,composition(X_42,composition(converse(X_42),X_42))) = composition(X_42,join(one,composition(converse(X_42),X_42))),
inference(subst,[],[refute_0_2768:[bind(A,$fot(composition(converse(X_42),X_42))),bind(X_1433,$fot(X_42))]]) ).
cnf(refute_0_2770,plain,
join(X_640,complement(complement(X_25))) = join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,complement(complement(X_25))))),
inference(subst,[],[refute_0_1817:[bind(X_71,$fot(complement(X_25))),bind(X_72,$fot(X_640))]]) ).
cnf(refute_0_2771,plain,
( complement(complement(X_25)) != X_25
| join(X_640,complement(complement(X_25))) != join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,complement(complement(X_25)))))
| join(X_640,complement(complement(X_25))) = join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_640,complement(complement(X_25))),join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,complement(complement(X_25)))))) ),[1,1,1,1],$fot(X_25)]]) ).
cnf(refute_0_2772,plain,
( join(X_640,complement(complement(X_25))) != join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,complement(complement(X_25)))))
| join(X_640,complement(complement(X_25))) = join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_2771]) ).
cnf(refute_0_2773,plain,
join(X_640,complement(complement(X_25))) = join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))),
inference(resolve,[$cnf( $equal(join(X_640,complement(complement(X_25))),join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,complement(complement(X_25)))))) )],[refute_0_2770,refute_0_2772]) ).
cnf(refute_0_2774,plain,
join(X_640,complement(complement(X_25))) = join(X_640,complement(complement(X_25))),
introduced(tautology,[refl,[$fot(join(X_640,complement(complement(X_25))))]]) ).
cnf(refute_0_2775,plain,
( complement(complement(X_25)) != X_25
| join(X_640,complement(complement(X_25))) != join(X_640,complement(complement(X_25)))
| join(X_640,complement(complement(X_25))) = join(X_640,X_25) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_640,complement(complement(X_25))),join(X_640,complement(complement(X_25)))) ),[1,1],$fot(X_25)]]) ).
cnf(refute_0_2776,plain,
( complement(complement(X_25)) != X_25
| join(X_640,complement(complement(X_25))) = join(X_640,X_25) ),
inference(resolve,[$cnf( $equal(join(X_640,complement(complement(X_25))),join(X_640,complement(complement(X_25)))) )],[refute_0_2774,refute_0_2775]) ).
cnf(refute_0_2777,plain,
join(X_640,complement(complement(X_25))) = join(X_640,X_25),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_2776]) ).
cnf(refute_0_2778,plain,
( join(X_640,complement(complement(X_25))) != join(X_640,X_25)
| join(X_640,complement(complement(X_25))) != join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25)))
| join(X_640,X_25) = join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_640,complement(complement(X_25))),join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25)))) ),[0],$fot(join(X_640,X_25))]]) ).
cnf(refute_0_2779,plain,
( join(X_640,complement(complement(X_25))) != join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25)))
| join(X_640,X_25) = join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) ),
inference(resolve,[$cnf( $equal(join(X_640,complement(complement(X_25))),join(X_640,X_25)) )],[refute_0_2777,refute_0_2778]) ).
cnf(refute_0_2780,plain,
meet(meet(complement(X_25),X_640),join(X_640,X_25)) = meet(join(X_640,X_25),meet(complement(X_25),X_640)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(join(X_640,X_25))),bind(X_16,$fot(meet(complement(X_25),X_640)))]]) ).
cnf(refute_0_2781,plain,
join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))) = join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))),
introduced(tautology,[refl,[$fot(join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))))]]) ).
cnf(refute_0_2782,plain,
( join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))) != join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25)))
| meet(meet(complement(X_25),X_640),join(X_640,X_25)) != meet(join(X_640,X_25),meet(complement(X_25),X_640))
| join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))) = join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))),join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25)))) ),[1,1],$fot(meet(join(X_640,X_25),meet(complement(X_25),X_640)))]]) ).
cnf(refute_0_2783,plain,
( meet(meet(complement(X_25),X_640),join(X_640,X_25)) != meet(join(X_640,X_25),meet(complement(X_25),X_640))
| join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))) = join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640))) ),
inference(resolve,[$cnf( $equal(join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))),join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25)))) )],[refute_0_2781,refute_0_2782]) ).
cnf(refute_0_2784,plain,
join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))) = join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640))),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_25),X_640),join(X_640,X_25)),meet(join(X_640,X_25),meet(complement(X_25),X_640))) )],[refute_0_2780,refute_0_2783]) ).
cnf(refute_0_2785,plain,
join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) = join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))))]]) ).
cnf(refute_0_2786,plain,
( complement(complement(X_25)) != X_25
| join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) != join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25)))
| join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) = join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))),join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25)))) ),[1,0],$fot(X_25)]]) ).
cnf(refute_0_2787,plain,
( complement(complement(X_25)) != X_25
| join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) = join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))),join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25)))) )],[refute_0_2785,refute_0_2786]) ).
cnf(refute_0_2788,plain,
join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) = join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_2787]) ).
cnf(refute_0_2789,plain,
( join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))) != join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640)))
| join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) != join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25)))
| join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) = join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))))),bind(Y,$fot(join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))))),bind(Z,$fot(join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640)))))]]) ).
cnf(refute_0_2790,plain,
( join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))) != join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640)))
| join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) = join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))),join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25)))) )],[refute_0_2788,refute_0_2789]) ).
cnf(refute_0_2791,plain,
join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) = join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640))),
inference(resolve,[$cnf( $equal(join(X_25,meet(meet(complement(X_25),X_640),join(X_640,X_25))),join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640)))) )],[refute_0_2784,refute_0_2790]) ).
cnf(refute_0_2792,plain,
( join(X_640,X_25) != join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25)))
| join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))) != join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640)))
| join(X_640,X_25) = join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_640,X_25),join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640)))) ),[0],$fot(join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))))]]) ).
cnf(refute_0_2793,plain,
( join(X_640,X_25) != join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25)))
| join(X_640,X_25) = join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25))),join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640)))) )],[refute_0_2791,refute_0_2792]) ).
cnf(refute_0_2794,plain,
( join(X_640,complement(complement(X_25))) != join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25)))
| join(X_640,X_25) = join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640))) ),
inference(resolve,[$cnf( $equal(join(X_640,X_25),join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25)))) )],[refute_0_2779,refute_0_2793]) ).
cnf(refute_0_2795,plain,
join(X_640,X_25) = join(X_25,meet(join(X_640,X_25),meet(complement(X_25),X_640))),
inference(resolve,[$cnf( $equal(join(X_640,complement(complement(X_25))),join(complement(complement(X_25)),meet(meet(complement(X_25),X_640),join(X_640,X_25)))) )],[refute_0_2773,refute_0_2794]) ).
cnf(refute_0_2796,plain,
join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),X_640))),
inference(subst,[],[refute_0_2795:[bind(X_25,$fot(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))))]]) ).
cnf(refute_0_2797,plain,
join(complement(B),composition(converse(composition(X_64,X_65)),complement(composition(composition(X_64,X_65),B)))) = complement(B),
inference(subst,[],[refute_0_437:[bind(A,$fot(composition(X_64,X_65)))]]) ).
cnf(refute_0_2798,plain,
composition(X_64,composition(X_65,B)) = composition(composition(X_64,X_65),B),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(X_64)),bind(B,$fot(X_65)),bind(C,$fot(B))]]) ).
cnf(refute_0_2799,plain,
( composition(X_64,composition(X_65,B)) != composition(composition(X_64,X_65),B)
| composition(composition(X_64,X_65),B) = composition(X_64,composition(X_65,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(X_64,composition(X_65,B)))),bind(Y,$fot(composition(composition(X_64,X_65),B)))]]) ).
cnf(refute_0_2800,plain,
composition(composition(X_64,X_65),B) = composition(X_64,composition(X_65,B)),
inference(resolve,[$cnf( $equal(composition(X_64,composition(X_65,B)),composition(composition(X_64,X_65),B)) )],[refute_0_2798,refute_0_2799]) ).
cnf(refute_0_2801,plain,
( composition(composition(X_64,X_65),B) != composition(X_64,composition(X_65,B))
| join(complement(B),composition(converse(composition(X_64,X_65)),complement(composition(composition(X_64,X_65),B)))) != complement(B)
| join(complement(B),composition(converse(composition(X_64,X_65)),complement(composition(X_64,composition(X_65,B))))) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(composition(X_64,X_65)),complement(composition(composition(X_64,X_65),B)))),complement(B)) ),[0,1,1,0],$fot(composition(X_64,composition(X_65,B)))]]) ).
cnf(refute_0_2802,plain,
( join(complement(B),composition(converse(composition(X_64,X_65)),complement(composition(composition(X_64,X_65),B)))) != complement(B)
| join(complement(B),composition(converse(composition(X_64,X_65)),complement(composition(X_64,composition(X_65,B))))) = complement(B) ),
inference(resolve,[$cnf( $equal(composition(composition(X_64,X_65),B),composition(X_64,composition(X_65,B))) )],[refute_0_2800,refute_0_2801]) ).
cnf(refute_0_2803,plain,
join(complement(B),composition(converse(composition(X_64,X_65)),complement(composition(X_64,composition(X_65,B))))) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(composition(X_64,X_65)),complement(composition(composition(X_64,X_65),B)))),complement(B)) )],[refute_0_2797,refute_0_2802]) ).
cnf(refute_0_2804,plain,
join(complement(X_428),composition(converse(composition(top,converse(A))),complement(composition(top,composition(converse(A),X_428))))) = complement(X_428),
inference(subst,[],[refute_0_2803:[bind(B,$fot(X_428)),bind(X_64,$fot(top)),bind(X_65,$fot(converse(A)))]]) ).
cnf(refute_0_2805,plain,
( composition(top,converse(A)) != converse(composition(A,top))
| join(complement(X_428),composition(converse(composition(top,converse(A))),complement(composition(top,composition(converse(A),X_428))))) != complement(X_428)
| join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) = complement(X_428) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_428),composition(converse(composition(top,converse(A))),complement(composition(top,composition(converse(A),X_428))))),complement(X_428)) ),[0,1,0,0],$fot(converse(composition(A,top)))]]) ).
cnf(refute_0_2806,plain,
( join(complement(X_428),composition(converse(composition(top,converse(A))),complement(composition(top,composition(converse(A),X_428))))) != complement(X_428)
| join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) = complement(X_428) ),
inference(resolve,[$cnf( $equal(composition(top,converse(A)),converse(composition(A,top))) )],[refute_0_2172,refute_0_2805]) ).
cnf(refute_0_2807,plain,
join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) = complement(X_428),
inference(resolve,[$cnf( $equal(join(complement(X_428),composition(converse(composition(top,converse(A))),complement(composition(top,composition(converse(A),X_428))))),complement(X_428)) )],[refute_0_2804,refute_0_2806]) ).
cnf(refute_0_2808,plain,
join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,composition(top,X_161))))) = complement(composition(top,X_161)),
inference(subst,[],[refute_0_437:[bind(A,$fot(top)),bind(B,$fot(composition(top,X_161)))]]) ).
cnf(refute_0_2809,plain,
composition(top,composition(top,C)) = composition(composition(top,top),C),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(top)),bind(B,$fot(top))]]) ).
cnf(refute_0_2810,plain,
join(complement(converse(zero)),composition(top,complement(converse(composition(zero,top))))) = complement(converse(zero)),
inference(subst,[],[refute_0_1352:[bind(X_34,$fot(zero)),bind(X_35,$fot(top))]]) ).
cnf(refute_0_2811,plain,
composition(join(complement(composition(top,top)),X_148),top) = join(composition(complement(composition(top,top)),top),composition(X_148,top)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(complement(composition(top,top)))),bind(B,$fot(X_148)),bind(C,$fot(top))]]) ).
cnf(refute_0_2812,plain,
converse(converse(composition(complement(composition(top,top)),top))) = composition(complement(composition(top,top)),top),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(complement(composition(top,top)),top)))]]) ).
cnf(refute_0_2813,plain,
zero = composition(converse(complement(composition(converse(complement(composition(top,top))),top))),converse(complement(composition(top,top)))),
inference(subst,[],[refute_0_2444:[bind(A,$fot(converse(complement(composition(top,top)))))]]) ).
cnf(refute_0_2814,plain,
zero = composition(converse(complement(composition(top,top))),top),
inference(subst,[],[refute_0_2444:[bind(A,$fot(top))]]) ).
cnf(refute_0_2815,plain,
( zero != composition(converse(complement(composition(top,top))),top)
| composition(converse(complement(composition(top,top))),top) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(top,top))),top)))]]) ).
cnf(refute_0_2816,plain,
composition(converse(complement(composition(top,top))),top) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(top,top))),top)) )],[refute_0_2814,refute_0_2815]) ).
cnf(refute_0_2817,plain,
( composition(converse(complement(composition(top,top))),top) != zero
| zero != composition(converse(complement(composition(converse(complement(composition(top,top))),top))),converse(complement(composition(top,top))))
| zero = composition(converse(complement(zero)),converse(complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(converse(complement(composition(top,top))),top))),converse(complement(composition(top,top))))) ),[1,0,0,0],$fot(zero)]]) ).
cnf(refute_0_2818,plain,
( zero != composition(converse(complement(composition(converse(complement(composition(top,top))),top))),converse(complement(composition(top,top))))
| zero = composition(converse(complement(zero)),converse(complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,top))),top),zero) )],[refute_0_2816,refute_0_2817]) ).
cnf(refute_0_2819,plain,
zero = composition(converse(complement(zero)),converse(complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(converse(complement(composition(top,top))),top))),converse(complement(composition(top,top))))) )],[refute_0_2813,refute_0_2818]) ).
cnf(refute_0_2820,plain,
composition(complement(composition(top,top)),complement(zero)) = composition(complement(composition(top,top)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,top)),complement(zero)))]]) ).
cnf(refute_0_2821,plain,
( complement(zero) != top
| composition(complement(composition(top,top)),complement(zero)) != composition(complement(composition(top,top)),complement(zero))
| composition(complement(composition(top,top)),complement(zero)) = composition(complement(composition(top,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,top)),complement(zero)),composition(complement(composition(top,top)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2822,plain,
( complement(zero) != top
| composition(complement(composition(top,top)),complement(zero)) = composition(complement(composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),complement(zero)),composition(complement(composition(top,top)),complement(zero))) )],[refute_0_2820,refute_0_2821]) ).
cnf(refute_0_2823,plain,
composition(complement(composition(top,top)),complement(zero)) = composition(complement(composition(top,top)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1014,refute_0_2822]) ).
cnf(refute_0_2824,plain,
converse(composition(complement(composition(top,top)),complement(zero))) = converse(composition(complement(composition(top,top)),complement(zero))),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(top,top)),complement(zero))))]]) ).
cnf(refute_0_2825,plain,
( composition(complement(composition(top,top)),complement(zero)) != composition(complement(composition(top,top)),top)
| converse(composition(complement(composition(top,top)),complement(zero))) != converse(composition(complement(composition(top,top)),complement(zero)))
| converse(composition(complement(composition(top,top)),complement(zero))) = converse(composition(complement(composition(top,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,top)),complement(zero))),converse(composition(complement(composition(top,top)),complement(zero)))) ),[1,0],$fot(composition(complement(composition(top,top)),top))]]) ).
cnf(refute_0_2826,plain,
( composition(complement(composition(top,top)),complement(zero)) != composition(complement(composition(top,top)),top)
| converse(composition(complement(composition(top,top)),complement(zero))) = converse(composition(complement(composition(top,top)),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,top)),complement(zero))),converse(composition(complement(composition(top,top)),complement(zero)))) )],[refute_0_2824,refute_0_2825]) ).
cnf(refute_0_2827,plain,
converse(composition(complement(composition(top,top)),complement(zero))) = converse(composition(complement(composition(top,top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),complement(zero)),composition(complement(composition(top,top)),top)) )],[refute_0_2823,refute_0_2826]) ).
cnf(refute_0_2828,plain,
composition(converse(complement(zero)),converse(complement(composition(top,top)))) = converse(composition(complement(composition(top,top)),complement(zero))),
inference(subst,[],[refute_0_1734:[bind(A,$fot(complement(composition(top,top)))),bind(B,$fot(complement(zero)))]]) ).
cnf(refute_0_2829,plain,
( composition(converse(complement(zero)),converse(complement(composition(top,top)))) != converse(composition(complement(composition(top,top)),complement(zero)))
| converse(composition(complement(composition(top,top)),complement(zero))) != converse(composition(complement(composition(top,top)),top))
| composition(converse(complement(zero)),converse(complement(composition(top,top)))) = converse(composition(complement(composition(top,top)),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(complement(zero)),converse(complement(composition(top,top)))))),bind(Y,$fot(converse(composition(complement(composition(top,top)),complement(zero))))),bind(Z,$fot(converse(composition(complement(composition(top,top)),top))))]]) ).
cnf(refute_0_2830,plain,
( converse(composition(complement(composition(top,top)),complement(zero))) != converse(composition(complement(composition(top,top)),top))
| composition(converse(complement(zero)),converse(complement(composition(top,top)))) = converse(composition(complement(composition(top,top)),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(zero)),converse(complement(composition(top,top)))),converse(composition(complement(composition(top,top)),complement(zero)))) )],[refute_0_2828,refute_0_2829]) ).
cnf(refute_0_2831,plain,
composition(converse(complement(zero)),converse(complement(composition(top,top)))) = converse(composition(complement(composition(top,top)),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,top)),complement(zero))),converse(composition(complement(composition(top,top)),top))) )],[refute_0_2827,refute_0_2830]) ).
cnf(refute_0_2832,plain,
( composition(converse(complement(zero)),converse(complement(composition(top,top)))) != converse(composition(complement(composition(top,top)),top))
| zero != composition(converse(complement(zero)),converse(complement(composition(top,top))))
| zero = converse(composition(complement(composition(top,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(zero)),converse(complement(composition(top,top))))) ),[1],$fot(converse(composition(complement(composition(top,top)),top)))]]) ).
cnf(refute_0_2833,plain,
( zero != composition(converse(complement(zero)),converse(complement(composition(top,top))))
| zero = converse(composition(complement(composition(top,top)),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(zero)),converse(complement(composition(top,top)))),converse(composition(complement(composition(top,top)),top))) )],[refute_0_2831,refute_0_2832]) ).
cnf(refute_0_2834,plain,
zero = converse(composition(complement(composition(top,top)),top)),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(zero)),converse(complement(composition(top,top))))) )],[refute_0_2819,refute_0_2833]) ).
cnf(refute_0_2835,plain,
( zero != converse(composition(complement(composition(top,top)),top))
| converse(composition(complement(composition(top,top)),top)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(converse(composition(complement(composition(top,top)),top))))]]) ).
cnf(refute_0_2836,plain,
converse(composition(complement(composition(top,top)),top)) = zero,
inference(resolve,[$cnf( $equal(zero,converse(composition(complement(composition(top,top)),top))) )],[refute_0_2834,refute_0_2835]) ).
cnf(refute_0_2837,plain,
( converse(composition(complement(composition(top,top)),top)) != zero
| converse(converse(composition(complement(composition(top,top)),top))) != composition(complement(composition(top,top)),top)
| converse(zero) = composition(complement(composition(top,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(complement(composition(top,top)),top))),composition(complement(composition(top,top)),top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2838,plain,
( converse(converse(composition(complement(composition(top,top)),top))) != composition(complement(composition(top,top)),top)
| converse(zero) = composition(complement(composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,top)),top)),zero) )],[refute_0_2836,refute_0_2837]) ).
cnf(refute_0_2839,plain,
converse(zero) = composition(complement(composition(top,top)),top),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(composition(top,top)),top))),composition(complement(composition(top,top)),top)) )],[refute_0_2812,refute_0_2838]) ).
cnf(refute_0_2840,plain,
( converse(zero) != composition(complement(composition(top,top)),top)
| converse(zero) != zero
| zero = composition(complement(composition(top,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(complement(composition(top,top)),top)) ),[0],$fot(zero)]]) ).
cnf(refute_0_2841,plain,
( converse(zero) != composition(complement(composition(top,top)),top)
| zero = composition(complement(composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2338,refute_0_2840]) ).
cnf(refute_0_2842,plain,
zero = composition(complement(composition(top,top)),top),
inference(resolve,[$cnf( $equal(converse(zero),composition(complement(composition(top,top)),top)) )],[refute_0_2839,refute_0_2841]) ).
cnf(refute_0_2843,plain,
( zero != composition(complement(composition(top,top)),top)
| composition(complement(composition(top,top)),top) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(composition(top,top)),top)))]]) ).
cnf(refute_0_2844,plain,
composition(complement(composition(top,top)),top) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(top,top)),top)) )],[refute_0_2842,refute_0_2843]) ).
cnf(refute_0_2845,plain,
( composition(complement(composition(top,top)),top) != zero
| composition(join(complement(composition(top,top)),X_148),top) != join(composition(complement(composition(top,top)),top),composition(X_148,top))
| composition(join(complement(composition(top,top)),X_148),top) = join(zero,composition(X_148,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(composition(top,top)),X_148),top),join(composition(complement(composition(top,top)),top),composition(X_148,top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2846,plain,
( composition(join(complement(composition(top,top)),X_148),top) != join(composition(complement(composition(top,top)),top),composition(X_148,top))
| composition(join(complement(composition(top,top)),X_148),top) = join(zero,composition(X_148,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),zero) )],[refute_0_2844,refute_0_2845]) ).
cnf(refute_0_2847,plain,
composition(join(complement(composition(top,top)),X_148),top) = join(zero,composition(X_148,top)),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,top)),X_148),top),join(composition(complement(composition(top,top)),top),composition(X_148,top))) )],[refute_0_2811,refute_0_2846]) ).
cnf(refute_0_2848,plain,
join(zero,composition(X_148,top)) = composition(X_148,top),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(composition(X_148,top)))]]) ).
cnf(refute_0_2849,plain,
( composition(join(complement(composition(top,top)),X_148),top) != join(zero,composition(X_148,top))
| join(zero,composition(X_148,top)) != composition(X_148,top)
| composition(join(complement(composition(top,top)),X_148),top) = composition(X_148,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(complement(composition(top,top)),X_148),top),composition(X_148,top)) ),[0],$fot(join(zero,composition(X_148,top)))]]) ).
cnf(refute_0_2850,plain,
( composition(join(complement(composition(top,top)),X_148),top) != join(zero,composition(X_148,top))
| composition(join(complement(composition(top,top)),X_148),top) = composition(X_148,top) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_148,top)),composition(X_148,top)) )],[refute_0_2848,refute_0_2849]) ).
cnf(refute_0_2851,plain,
composition(join(complement(composition(top,top)),X_148),top) = composition(X_148,top),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,top)),X_148),top),join(zero,composition(X_148,top))) )],[refute_0_2847,refute_0_2850]) ).
cnf(refute_0_2852,plain,
composition(join(complement(composition(top,top)),zero),top) = composition(zero,top),
inference(subst,[],[refute_0_2851:[bind(X_148,$fot(zero))]]) ).
cnf(refute_0_2853,plain,
complement(composition(top,top)) = join(complement(composition(top,top)),zero),
inference(subst,[],[refute_0_1070:[bind(X_41,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2854,plain,
( complement(composition(top,top)) != join(complement(composition(top,top)),zero)
| join(complement(composition(top,top)),zero) = complement(composition(top,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(top,top)))),bind(Y,$fot(join(complement(composition(top,top)),zero)))]]) ).
cnf(refute_0_2855,plain,
join(complement(composition(top,top)),zero) = complement(composition(top,top)),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),join(complement(composition(top,top)),zero)) )],[refute_0_2853,refute_0_2854]) ).
cnf(refute_0_2856,plain,
( composition(join(complement(composition(top,top)),zero),top) != composition(zero,top)
| join(complement(composition(top,top)),zero) != complement(composition(top,top))
| composition(complement(composition(top,top)),top) = composition(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(composition(top,top)),zero),top),composition(zero,top)) ),[0,0],$fot(complement(composition(top,top)))]]) ).
cnf(refute_0_2857,plain,
( composition(join(complement(composition(top,top)),zero),top) != composition(zero,top)
| composition(complement(composition(top,top)),top) = composition(zero,top) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,top)),zero),complement(composition(top,top))) )],[refute_0_2855,refute_0_2856]) ).
cnf(refute_0_2858,plain,
composition(complement(composition(top,top)),top) = composition(zero,top),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,top)),zero),top),composition(zero,top)) )],[refute_0_2852,refute_0_2857]) ).
cnf(refute_0_2859,plain,
( composition(complement(composition(top,top)),top) != composition(zero,top)
| composition(complement(composition(top,top)),top) != zero
| zero = composition(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,top)),top),composition(zero,top)) ),[0],$fot(zero)]]) ).
cnf(refute_0_2860,plain,
( composition(complement(composition(top,top)),top) != composition(zero,top)
| zero = composition(zero,top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),zero) )],[refute_0_2844,refute_0_2859]) ).
cnf(refute_0_2861,plain,
zero = composition(zero,top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),composition(zero,top)) )],[refute_0_2858,refute_0_2860]) ).
cnf(refute_0_2862,plain,
( zero != composition(zero,top)
| composition(zero,top) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(zero,top)))]]) ).
cnf(refute_0_2863,plain,
composition(zero,top) = zero,
inference(resolve,[$cnf( $equal(zero,composition(zero,top)) )],[refute_0_2861,refute_0_2862]) ).
cnf(refute_0_2864,plain,
( composition(zero,top) != zero
| join(complement(converse(zero)),composition(top,complement(converse(composition(zero,top))))) != complement(converse(zero))
| join(complement(converse(zero)),composition(top,complement(converse(zero)))) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(zero)),composition(top,complement(converse(composition(zero,top))))),complement(converse(zero))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_2865,plain,
( join(complement(converse(zero)),composition(top,complement(converse(composition(zero,top))))) != complement(converse(zero))
| join(complement(converse(zero)),composition(top,complement(converse(zero)))) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(composition(zero,top),zero) )],[refute_0_2863,refute_0_2864]) ).
cnf(refute_0_2866,plain,
join(complement(converse(zero)),composition(top,complement(converse(zero)))) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),composition(top,complement(converse(composition(zero,top))))),complement(converse(zero))) )],[refute_0_2810,refute_0_2865]) ).
cnf(refute_0_2867,plain,
composition(top,complement(converse(zero))) = composition(top,complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(top,complement(converse(zero))))]]) ).
cnf(refute_0_2868,plain,
( complement(converse(zero)) != top
| composition(top,complement(converse(zero))) != composition(top,complement(converse(zero)))
| composition(top,complement(converse(zero))) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2869,plain,
( complement(converse(zero)) != top
| composition(top,complement(converse(zero))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,complement(converse(zero)))) )],[refute_0_2867,refute_0_2868]) ).
cnf(refute_0_2870,plain,
composition(top,complement(converse(zero))) = composition(top,top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2246,refute_0_2869]) ).
cnf(refute_0_2871,plain,
join(one,top) = top,
inference(subst,[],[refute_0_1107:[bind(X_100,$fot(one))]]) ).
cnf(refute_0_2872,plain,
composition(join(one,top),complement(converse(zero))) = composition(join(one,top),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(join(one,top),complement(converse(zero))))]]) ).
cnf(refute_0_2873,plain,
( composition(join(one,top),complement(converse(zero))) != composition(join(one,top),complement(converse(zero)))
| join(one,top) != top
| composition(join(one,top),complement(converse(zero))) = composition(top,complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),complement(converse(zero))),composition(join(one,top),complement(converse(zero)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2874,plain,
( join(one,top) != top
| composition(join(one,top),complement(converse(zero))) = composition(top,complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),complement(converse(zero))),composition(join(one,top),complement(converse(zero)))) )],[refute_0_2872,refute_0_2873]) ).
cnf(refute_0_2875,plain,
composition(join(one,top),complement(converse(zero))) = composition(top,complement(converse(zero))),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2871,refute_0_2874]) ).
cnf(refute_0_2876,plain,
( composition(join(one,top),complement(converse(zero))) != composition(top,complement(converse(zero)))
| composition(top,complement(converse(zero))) != composition(top,top)
| composition(join(one,top),complement(converse(zero))) = composition(top,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(one,top),complement(converse(zero))))),bind(Y,$fot(composition(top,complement(converse(zero))))),bind(Z,$fot(composition(top,top)))]]) ).
cnf(refute_0_2877,plain,
( composition(top,complement(converse(zero))) != composition(top,top)
| composition(join(one,top),complement(converse(zero))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),complement(converse(zero))),composition(top,complement(converse(zero)))) )],[refute_0_2875,refute_0_2876]) ).
cnf(refute_0_2878,plain,
composition(join(one,top),complement(converse(zero))) = composition(top,top),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,top)) )],[refute_0_2870,refute_0_2877]) ).
cnf(refute_0_2879,plain,
composition(join(top,one),complement(converse(zero))) = composition(join(one,top),complement(converse(zero))),
inference(subst,[],[refute_0_79:[bind(X_150,$fot(top)),bind(X_151,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2880,plain,
join(complement(converse(zero)),composition(top,complement(converse(zero)))) = composition(join(top,one),complement(converse(zero))),
inference(subst,[],[refute_0_73:[bind(X_147,$fot(top)),bind(X_149,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2881,plain,
( composition(join(top,one),complement(converse(zero))) != composition(join(one,top),complement(converse(zero)))
| join(complement(converse(zero)),composition(top,complement(converse(zero)))) != composition(join(top,one),complement(converse(zero)))
| join(complement(converse(zero)),composition(top,complement(converse(zero)))) = composition(join(one,top),complement(converse(zero))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(converse(zero)),composition(top,complement(converse(zero)))))),bind(Y,$fot(composition(join(top,one),complement(converse(zero))))),bind(Z,$fot(composition(join(one,top),complement(converse(zero)))))]]) ).
cnf(refute_0_2882,plain,
( composition(join(top,one),complement(converse(zero))) != composition(join(one,top),complement(converse(zero)))
| join(complement(converse(zero)),composition(top,complement(converse(zero)))) = composition(join(one,top),complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),composition(top,complement(converse(zero)))),composition(join(top,one),complement(converse(zero)))) )],[refute_0_2880,refute_0_2881]) ).
cnf(refute_0_2883,plain,
join(complement(converse(zero)),composition(top,complement(converse(zero)))) = composition(join(one,top),complement(converse(zero))),
inference(resolve,[$cnf( $equal(composition(join(top,one),complement(converse(zero))),composition(join(one,top),complement(converse(zero)))) )],[refute_0_2879,refute_0_2882]) ).
cnf(refute_0_2884,plain,
( composition(join(one,top),complement(converse(zero))) != composition(top,top)
| join(complement(converse(zero)),composition(top,complement(converse(zero)))) != composition(join(one,top),complement(converse(zero)))
| join(complement(converse(zero)),composition(top,complement(converse(zero)))) = composition(top,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(converse(zero)),composition(top,complement(converse(zero)))))),bind(Y,$fot(composition(join(one,top),complement(converse(zero))))),bind(Z,$fot(composition(top,top)))]]) ).
cnf(refute_0_2885,plain,
( composition(join(one,top),complement(converse(zero))) != composition(top,top)
| join(complement(converse(zero)),composition(top,complement(converse(zero)))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),composition(top,complement(converse(zero)))),composition(join(one,top),complement(converse(zero)))) )],[refute_0_2883,refute_0_2884]) ).
cnf(refute_0_2886,plain,
join(complement(converse(zero)),composition(top,complement(converse(zero)))) = composition(top,top),
inference(resolve,[$cnf( $equal(composition(join(one,top),complement(converse(zero))),composition(top,top)) )],[refute_0_2878,refute_0_2885]) ).
cnf(refute_0_2887,plain,
( join(complement(converse(zero)),composition(top,complement(converse(zero)))) != complement(converse(zero))
| join(complement(converse(zero)),composition(top,complement(converse(zero)))) != composition(top,top)
| composition(top,top) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(zero)),composition(top,complement(converse(zero)))),complement(converse(zero))) ),[0],$fot(composition(top,top))]]) ).
cnf(refute_0_2888,plain,
( join(complement(converse(zero)),composition(top,complement(converse(zero)))) != complement(converse(zero))
| composition(top,top) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),composition(top,complement(converse(zero)))),composition(top,top)) )],[refute_0_2886,refute_0_2887]) ).
cnf(refute_0_2889,plain,
( complement(converse(zero)) != top
| composition(top,top) != complement(converse(zero))
| composition(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,top),complement(converse(zero))) ),[1],$fot(top)]]) ).
cnf(refute_0_2890,plain,
( composition(top,top) != complement(converse(zero))
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2246,refute_0_2889]) ).
cnf(refute_0_2891,plain,
( join(complement(converse(zero)),composition(top,complement(converse(zero)))) != complement(converse(zero))
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(composition(top,top),complement(converse(zero))) )],[refute_0_2888,refute_0_2890]) ).
cnf(refute_0_2892,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),composition(top,complement(converse(zero)))),complement(converse(zero))) )],[refute_0_2866,refute_0_2891]) ).
cnf(refute_0_2893,plain,
( composition(top,composition(top,C)) != composition(composition(top,top),C)
| composition(top,top) != top
| composition(top,composition(top,C)) = composition(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(top,C)),composition(composition(top,top),C)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2894,plain,
( composition(top,composition(top,C)) != composition(composition(top,top),C)
| composition(top,composition(top,C)) = composition(top,C) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_2892,refute_0_2893]) ).
cnf(refute_0_2895,plain,
composition(top,composition(top,C)) = composition(top,C),
inference(resolve,[$cnf( $equal(composition(top,composition(top,C)),composition(composition(top,top),C)) )],[refute_0_2809,refute_0_2894]) ).
cnf(refute_0_2896,plain,
composition(top,composition(top,X_161)) = composition(top,X_161),
inference(subst,[],[refute_0_2895:[bind(C,$fot(X_161))]]) ).
cnf(refute_0_2897,plain,
( composition(top,composition(top,X_161)) != composition(top,X_161)
| join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,composition(top,X_161))))) != complement(composition(top,X_161))
| join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) = complement(composition(top,X_161)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,composition(top,X_161))))),complement(composition(top,X_161))) ),[0,1,1,0],$fot(composition(top,X_161))]]) ).
cnf(refute_0_2898,plain,
( join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,composition(top,X_161))))) != complement(composition(top,X_161))
| join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) = complement(composition(top,X_161)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_161)),composition(top,X_161)) )],[refute_0_2896,refute_0_2897]) ).
cnf(refute_0_2899,plain,
join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) = complement(composition(top,X_161)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,composition(top,X_161))))),complement(composition(top,X_161))) )],[refute_0_2808,refute_0_2898]) ).
cnf(refute_0_2900,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_0_2901,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_2902,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_2900,refute_0_2901]) ).
cnf(refute_0_2903,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2871,refute_0_2902]) ).
cnf(refute_0_2904,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2905,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_2903,refute_0_2904]) ).
cnf(refute_0_2906,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_2905]) ).
cnf(refute_0_2907,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(subst,[],[refute_0_1258:[bind(X_5,$fot(top))]]) ).
cnf(refute_0_2908,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2909,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_2907,refute_0_2908]) ).
cnf(refute_0_2910,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_0_2906,refute_0_2909]) ).
cnf(refute_0_2911,plain,
composition(join(one,converse(top)),complement(composition(top,X_161))) = composition(join(one,converse(top)),complement(composition(top,X_161))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_161))))]]) ).
cnf(refute_0_2912,plain,
( composition(join(one,converse(top)),complement(composition(top,X_161))) != composition(join(one,converse(top)),complement(composition(top,X_161)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_161))) = composition(top,complement(composition(top,X_161))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_161))),composition(join(one,converse(top)),complement(composition(top,X_161)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2913,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_161))) = composition(top,complement(composition(top,X_161))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_161))),composition(join(one,converse(top)),complement(composition(top,X_161)))) )],[refute_0_2911,refute_0_2912]) ).
cnf(refute_0_2914,plain,
composition(join(one,converse(top)),complement(composition(top,X_161))) = composition(top,complement(composition(top,X_161))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_2910,refute_0_2913]) ).
cnf(refute_0_2915,plain,
composition(join(converse(top),one),complement(composition(top,X_161))) = composition(join(one,converse(top)),complement(composition(top,X_161))),
inference(subst,[],[refute_0_79:[bind(X_150,$fot(converse(top))),bind(X_151,$fot(complement(composition(top,X_161))))]]) ).
cnf(refute_0_2916,plain,
join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) = composition(join(converse(top),one),complement(composition(top,X_161))),
inference(subst,[],[refute_0_73:[bind(X_147,$fot(converse(top))),bind(X_149,$fot(complement(composition(top,X_161))))]]) ).
cnf(refute_0_2917,plain,
( composition(join(converse(top),one),complement(composition(top,X_161))) != composition(join(one,converse(top)),complement(composition(top,X_161)))
| join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) != composition(join(converse(top),one),complement(composition(top,X_161)))
| join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) = composition(join(one,converse(top)),complement(composition(top,X_161))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(top,X_161))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(top,X_161)))))]]) ).
cnf(refute_0_2918,plain,
( composition(join(converse(top),one),complement(composition(top,X_161))) != composition(join(one,converse(top)),complement(composition(top,X_161)))
| join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) = composition(join(one,converse(top)),complement(composition(top,X_161))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))),composition(join(converse(top),one),complement(composition(top,X_161)))) )],[refute_0_2916,refute_0_2917]) ).
cnf(refute_0_2919,plain,
join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) = composition(join(one,converse(top)),complement(composition(top,X_161))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(top,X_161))),composition(join(one,converse(top)),complement(composition(top,X_161)))) )],[refute_0_2915,refute_0_2918]) ).
cnf(refute_0_2920,plain,
( composition(join(one,converse(top)),complement(composition(top,X_161))) != composition(top,complement(composition(top,X_161)))
| join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) != composition(join(one,converse(top)),complement(composition(top,X_161)))
| join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) = composition(top,complement(composition(top,X_161))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_161))))),bind(Z,$fot(composition(top,complement(composition(top,X_161)))))]]) ).
cnf(refute_0_2921,plain,
( composition(join(one,converse(top)),complement(composition(top,X_161))) != composition(top,complement(composition(top,X_161)))
| join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) = composition(top,complement(composition(top,X_161))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))),composition(join(one,converse(top)),complement(composition(top,X_161)))) )],[refute_0_2919,refute_0_2920]) ).
cnf(refute_0_2922,plain,
join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) = composition(top,complement(composition(top,X_161))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_161))),composition(top,complement(composition(top,X_161)))) )],[refute_0_2914,refute_0_2921]) ).
cnf(refute_0_2923,plain,
( join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) != complement(composition(top,X_161))
| join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) != composition(top,complement(composition(top,X_161)))
| composition(top,complement(composition(top,X_161))) = complement(composition(top,X_161)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))),complement(composition(top,X_161))) ),[0],$fot(composition(top,complement(composition(top,X_161))))]]) ).
cnf(refute_0_2924,plain,
( join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))) != complement(composition(top,X_161))
| composition(top,complement(composition(top,X_161))) = complement(composition(top,X_161)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))),composition(top,complement(composition(top,X_161)))) )],[refute_0_2922,refute_0_2923]) ).
cnf(refute_0_2925,plain,
composition(top,complement(composition(top,X_161))) = complement(composition(top,X_161)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_161)),composition(converse(top),complement(composition(top,X_161)))),complement(composition(top,X_161))) )],[refute_0_2899,refute_0_2924]) ).
cnf(refute_0_2926,plain,
composition(top,complement(composition(top,composition(converse(A),X_428)))) = complement(composition(top,composition(converse(A),X_428))),
inference(subst,[],[refute_0_2925:[bind(X_161,$fot(composition(converse(A),X_428)))]]) ).
cnf(refute_0_2927,plain,
composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))) = composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))),
introduced(tautology,[refl,[$fot(composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))))]]) ).
cnf(refute_0_2928,plain,
( composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))) != composition(A,composition(top,complement(composition(top,composition(converse(A),X_428)))))
| composition(top,complement(composition(top,composition(converse(A),X_428)))) != complement(composition(top,composition(converse(A),X_428)))
| composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))) = composition(A,complement(composition(top,composition(converse(A),X_428)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))),composition(A,composition(top,complement(composition(top,composition(converse(A),X_428)))))) ),[1,1],$fot(complement(composition(top,composition(converse(A),X_428))))]]) ).
cnf(refute_0_2929,plain,
( composition(top,complement(composition(top,composition(converse(A),X_428)))) != complement(composition(top,composition(converse(A),X_428)))
| composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))) = composition(A,complement(composition(top,composition(converse(A),X_428)))) ),
inference(resolve,[$cnf( $equal(composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))),composition(A,composition(top,complement(composition(top,composition(converse(A),X_428)))))) )],[refute_0_2927,refute_0_2928]) ).
cnf(refute_0_2930,plain,
composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))) = composition(A,complement(composition(top,composition(converse(A),X_428)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(converse(A),X_428)))),complement(composition(top,composition(converse(A),X_428)))) )],[refute_0_2926,refute_0_2929]) ).
cnf(refute_0_2931,plain,
composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))) = composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))),
inference(subst,[],[refute_0_4:[bind(B,$fot(top)),bind(C,$fot(complement(composition(top,composition(converse(A),X_428)))))]]) ).
cnf(refute_0_2932,plain,
( composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))) != composition(A,complement(composition(top,composition(converse(A),X_428))))
| composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))) != composition(A,composition(top,complement(composition(top,composition(converse(A),X_428)))))
| composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))) = composition(A,complement(composition(top,composition(converse(A),X_428)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))))),bind(Y,$fot(composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))))),bind(Z,$fot(composition(A,complement(composition(top,composition(converse(A),X_428))))))]]) ).
cnf(refute_0_2933,plain,
( composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))) != composition(A,complement(composition(top,composition(converse(A),X_428))))
| composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))) = composition(A,complement(composition(top,composition(converse(A),X_428)))) ),
inference(resolve,[$cnf( $equal(composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))),composition(A,composition(top,complement(composition(top,composition(converse(A),X_428)))))) )],[refute_0_2931,refute_0_2932]) ).
cnf(refute_0_2934,plain,
composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))) = composition(A,complement(composition(top,composition(converse(A),X_428)))),
inference(resolve,[$cnf( $equal(composition(A,composition(top,complement(composition(top,composition(converse(A),X_428))))),composition(A,complement(composition(top,composition(converse(A),X_428))))) )],[refute_0_2930,refute_0_2933]) ).
cnf(refute_0_2935,plain,
converse(converse(composition(A,top))) = composition(A,top),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(A,top)))]]) ).
cnf(refute_0_2936,plain,
composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))) = composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))))]]) ).
cnf(refute_0_2937,plain,
( composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))) != composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))
| converse(converse(composition(A,top))) != composition(A,top)
| composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))) = composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) ),[1,0],$fot(composition(A,top))]]) ).
cnf(refute_0_2938,plain,
( converse(converse(composition(A,top))) != composition(A,top)
| composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))) = composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) )],[refute_0_2936,refute_0_2937]) ).
cnf(refute_0_2939,plain,
composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))) = composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))),
inference(resolve,[$cnf( $equal(converse(converse(composition(A,top))),composition(A,top)) )],[refute_0_2935,refute_0_2938]) ).
cnf(refute_0_2940,plain,
( composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))) != composition(A,complement(composition(top,composition(converse(A),X_428))))
| composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))) != composition(composition(A,top),complement(composition(top,composition(converse(A),X_428))))
| composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))) = composition(A,complement(composition(top,composition(converse(A),X_428)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))))),bind(Y,$fot(composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))))),bind(Z,$fot(composition(A,complement(composition(top,composition(converse(A),X_428))))))]]) ).
cnf(refute_0_2941,plain,
( composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))) != composition(A,complement(composition(top,composition(converse(A),X_428))))
| composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))) = composition(A,complement(composition(top,composition(converse(A),X_428)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))),composition(composition(A,top),complement(composition(top,composition(converse(A),X_428))))) )],[refute_0_2939,refute_0_2940]) ).
cnf(refute_0_2942,plain,
composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))) = composition(A,complement(composition(top,composition(converse(A),X_428)))),
inference(resolve,[$cnf( $equal(composition(composition(A,top),complement(composition(top,composition(converse(A),X_428)))),composition(A,complement(composition(top,composition(converse(A),X_428))))) )],[refute_0_2934,refute_0_2941]) ).
cnf(refute_0_2943,plain,
join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) = join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))),
introduced(tautology,[refl,[$fot(join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))))]]) ).
cnf(refute_0_2944,plain,
( composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))) != composition(A,complement(composition(top,composition(converse(A),X_428))))
| join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) != join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))))
| join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) = join(complement(X_428),composition(A,complement(composition(top,composition(converse(A),X_428))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))),join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))))) ),[1,1],$fot(composition(A,complement(composition(top,composition(converse(A),X_428)))))]]) ).
cnf(refute_0_2945,plain,
( composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))) != composition(A,complement(composition(top,composition(converse(A),X_428))))
| join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) = join(complement(X_428),composition(A,complement(composition(top,composition(converse(A),X_428))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))),join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))))) )],[refute_0_2943,refute_0_2944]) ).
cnf(refute_0_2946,plain,
join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) = join(complement(X_428),composition(A,complement(composition(top,composition(converse(A),X_428))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428)))),composition(A,complement(composition(top,composition(converse(A),X_428))))) )],[refute_0_2942,refute_0_2945]) ).
cnf(refute_0_2947,plain,
( join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) != complement(X_428)
| join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) != join(complement(X_428),composition(A,complement(composition(top,composition(converse(A),X_428)))))
| join(complement(X_428),composition(A,complement(composition(top,composition(converse(A),X_428))))) = complement(X_428) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))),complement(X_428)) ),[0],$fot(join(complement(X_428),composition(A,complement(composition(top,composition(converse(A),X_428))))))]]) ).
cnf(refute_0_2948,plain,
( join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))) != complement(X_428)
| join(complement(X_428),composition(A,complement(composition(top,composition(converse(A),X_428))))) = complement(X_428) ),
inference(resolve,[$cnf( $equal(join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))),join(complement(X_428),composition(A,complement(composition(top,composition(converse(A),X_428)))))) )],[refute_0_2946,refute_0_2947]) ).
cnf(refute_0_2949,plain,
join(complement(X_428),composition(A,complement(composition(top,composition(converse(A),X_428))))) = complement(X_428),
inference(resolve,[$cnf( $equal(join(complement(X_428),composition(converse(converse(composition(A,top))),complement(composition(top,composition(converse(A),X_428))))),complement(X_428)) )],[refute_0_2807,refute_0_2948]) ).
cnf(refute_0_2950,plain,
join(complement(X_428),composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428))))) = complement(X_428),
inference(subst,[],[refute_0_2949:[bind(A,$fot(join(X_709,one)))]]) ).
cnf(refute_0_2951,plain,
composition(join(top,B),complement(composition(top,X_185))) = join(composition(top,complement(composition(top,X_185))),composition(B,complement(composition(top,X_185)))),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(top)),bind(C,$fot(complement(composition(top,X_185))))]]) ).
cnf(refute_0_2952,plain,
composition(top,complement(composition(top,X_185))) = complement(composition(top,X_185)),
inference(subst,[],[refute_0_2925:[bind(X_161,$fot(X_185))]]) ).
cnf(refute_0_2953,plain,
( composition(join(top,B),complement(composition(top,X_185))) != join(composition(top,complement(composition(top,X_185))),composition(B,complement(composition(top,X_185))))
| composition(top,complement(composition(top,X_185))) != complement(composition(top,X_185))
| composition(join(top,B),complement(composition(top,X_185))) = join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,B),complement(composition(top,X_185))),join(composition(top,complement(composition(top,X_185))),composition(B,complement(composition(top,X_185))))) ),[1,0],$fot(complement(composition(top,X_185)))]]) ).
cnf(refute_0_2954,plain,
( composition(join(top,B),complement(composition(top,X_185))) != join(composition(top,complement(composition(top,X_185))),composition(B,complement(composition(top,X_185))))
| composition(join(top,B),complement(composition(top,X_185))) = join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_185))),complement(composition(top,X_185))) )],[refute_0_2952,refute_0_2953]) ).
cnf(refute_0_2955,plain,
composition(join(top,B),complement(composition(top,X_185))) = join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185)))),
inference(resolve,[$cnf( $equal(composition(join(top,B),complement(composition(top,X_185))),join(composition(top,complement(composition(top,X_185))),composition(B,complement(composition(top,X_185))))) )],[refute_0_2951,refute_0_2954]) ).
cnf(refute_0_2956,plain,
composition(join(top,B),complement(composition(top,X_185))) = composition(join(top,B),complement(composition(top,X_185))),
introduced(tautology,[refl,[$fot(composition(join(top,B),complement(composition(top,X_185))))]]) ).
cnf(refute_0_2957,plain,
( composition(join(top,B),complement(composition(top,X_185))) != composition(join(top,B),complement(composition(top,X_185)))
| join(top,B) != top
| composition(join(top,B),complement(composition(top,X_185))) = composition(top,complement(composition(top,X_185))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,B),complement(composition(top,X_185))),composition(join(top,B),complement(composition(top,X_185)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2958,plain,
( join(top,B) != top
| composition(join(top,B),complement(composition(top,X_185))) = composition(top,complement(composition(top,X_185))) ),
inference(resolve,[$cnf( $equal(composition(join(top,B),complement(composition(top,X_185))),composition(join(top,B),complement(composition(top,X_185)))) )],[refute_0_2956,refute_0_2957]) ).
cnf(refute_0_2959,plain,
composition(join(top,B),complement(composition(top,X_185))) = composition(top,complement(composition(top,X_185))),
inference(resolve,[$cnf( $equal(join(top,B),top) )],[refute_0_1171,refute_0_2958]) ).
cnf(refute_0_2960,plain,
( composition(join(top,B),complement(composition(top,X_185))) != composition(top,complement(composition(top,X_185)))
| composition(top,complement(composition(top,X_185))) != complement(composition(top,X_185))
| composition(join(top,B),complement(composition(top,X_185))) = complement(composition(top,X_185)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(top,B),complement(composition(top,X_185))))),bind(Y,$fot(composition(top,complement(composition(top,X_185))))),bind(Z,$fot(complement(composition(top,X_185))))]]) ).
cnf(refute_0_2961,plain,
( composition(top,complement(composition(top,X_185))) != complement(composition(top,X_185))
| composition(join(top,B),complement(composition(top,X_185))) = complement(composition(top,X_185)) ),
inference(resolve,[$cnf( $equal(composition(join(top,B),complement(composition(top,X_185))),composition(top,complement(composition(top,X_185)))) )],[refute_0_2959,refute_0_2960]) ).
cnf(refute_0_2962,plain,
composition(join(top,B),complement(composition(top,X_185))) = complement(composition(top,X_185)),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_185))),complement(composition(top,X_185))) )],[refute_0_2952,refute_0_2961]) ).
cnf(refute_0_2963,plain,
( composition(join(top,B),complement(composition(top,X_185))) != complement(composition(top,X_185))
| composition(join(top,B),complement(composition(top,X_185))) != join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185))))
| complement(composition(top,X_185)) = join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,B),complement(composition(top,X_185))),join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185))))) ),[0],$fot(complement(composition(top,X_185)))]]) ).
cnf(refute_0_2964,plain,
( composition(join(top,B),complement(composition(top,X_185))) != join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185))))
| complement(composition(top,X_185)) = join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185)))) ),
inference(resolve,[$cnf( $equal(composition(join(top,B),complement(composition(top,X_185))),complement(composition(top,X_185))) )],[refute_0_2962,refute_0_2963]) ).
cnf(refute_0_2965,plain,
join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185)))) = composition(join(B,one),complement(composition(top,X_185))),
inference(subst,[],[refute_0_73:[bind(X_147,$fot(B)),bind(X_149,$fot(complement(composition(top,X_185))))]]) ).
cnf(refute_0_2966,plain,
( complement(composition(top,X_185)) != join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185))))
| join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185)))) != composition(join(B,one),complement(composition(top,X_185)))
| complement(composition(top,X_185)) = composition(join(B,one),complement(composition(top,X_185))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,X_185)),composition(join(B,one),complement(composition(top,X_185)))) ),[0],$fot(join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185)))))]]) ).
cnf(refute_0_2967,plain,
( complement(composition(top,X_185)) != join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185))))
| complement(composition(top,X_185)) = composition(join(B,one),complement(composition(top,X_185))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185)))),composition(join(B,one),complement(composition(top,X_185)))) )],[refute_0_2965,refute_0_2966]) ).
cnf(refute_0_2968,plain,
( composition(join(top,B),complement(composition(top,X_185))) != join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185))))
| complement(composition(top,X_185)) = composition(join(B,one),complement(composition(top,X_185))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,X_185)),join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185))))) )],[refute_0_2964,refute_0_2967]) ).
cnf(refute_0_2969,plain,
complement(composition(top,X_185)) = composition(join(B,one),complement(composition(top,X_185))),
inference(resolve,[$cnf( $equal(composition(join(top,B),complement(composition(top,X_185))),join(complement(composition(top,X_185)),composition(B,complement(composition(top,X_185))))) )],[refute_0_2955,refute_0_2968]) ).
cnf(refute_0_2970,plain,
complement(composition(top,composition(converse(join(X_709,one)),X_428))) = composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428)))),
inference(subst,[],[refute_0_2969:[bind(B,$fot(X_709)),bind(X_185,$fot(composition(converse(join(X_709,one)),X_428)))]]) ).
cnf(refute_0_2971,plain,
( complement(composition(top,composition(converse(join(X_709,one)),X_428))) != composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428))))
| composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428)))) = complement(composition(top,composition(converse(join(X_709,one)),X_428))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(top,composition(converse(join(X_709,one)),X_428))))),bind(Y,$fot(composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428))))))]]) ).
cnf(refute_0_2972,plain,
composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428)))) = complement(composition(top,composition(converse(join(X_709,one)),X_428))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(converse(join(X_709,one)),X_428))),composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428))))) )],[refute_0_2970,refute_0_2971]) ).
cnf(refute_0_2973,plain,
( composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428)))) != complement(composition(top,composition(converse(join(X_709,one)),X_428)))
| join(complement(X_428),composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428))))) != complement(X_428)
| join(complement(X_428),complement(composition(top,composition(converse(join(X_709,one)),X_428)))) = complement(X_428) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_428),composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428))))),complement(X_428)) ),[0,1],$fot(complement(composition(top,composition(converse(join(X_709,one)),X_428))))]]) ).
cnf(refute_0_2974,plain,
( join(complement(X_428),composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428))))) != complement(X_428)
| join(complement(X_428),complement(composition(top,composition(converse(join(X_709,one)),X_428)))) = complement(X_428) ),
inference(resolve,[$cnf( $equal(composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428)))),complement(composition(top,composition(converse(join(X_709,one)),X_428)))) )],[refute_0_2972,refute_0_2973]) ).
cnf(refute_0_2975,plain,
join(complement(X_428),complement(composition(top,composition(converse(join(X_709,one)),X_428)))) = complement(X_428),
inference(resolve,[$cnf( $equal(join(complement(X_428),composition(join(X_709,one),complement(composition(top,composition(converse(join(X_709,one)),X_428))))),complement(X_428)) )],[refute_0_2950,refute_0_2974]) ).
cnf(refute_0_2976,plain,
join(complement(X_428),complement(composition(top,composition(converse(join(X_709,one)),X_428)))) = complement(meet(X_428,composition(top,composition(converse(join(X_709,one)),X_428)))),
inference(subst,[],[refute_0_356:[bind(A,$fot(X_428)),bind(B,$fot(composition(top,composition(converse(join(X_709,one)),X_428))))]]) ).
cnf(refute_0_2977,plain,
( join(complement(X_428),complement(composition(top,composition(converse(join(X_709,one)),X_428)))) != complement(X_428)
| join(complement(X_428),complement(composition(top,composition(converse(join(X_709,one)),X_428)))) != complement(meet(X_428,composition(top,composition(converse(join(X_709,one)),X_428))))
| complement(meet(X_428,composition(top,composition(converse(join(X_709,one)),X_428)))) = complement(X_428) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_428),complement(composition(top,composition(converse(join(X_709,one)),X_428)))),complement(X_428)) ),[0],$fot(complement(meet(X_428,composition(top,composition(converse(join(X_709,one)),X_428)))))]]) ).
cnf(refute_0_2978,plain,
( join(complement(X_428),complement(composition(top,composition(converse(join(X_709,one)),X_428)))) != complement(X_428)
| complement(meet(X_428,composition(top,composition(converse(join(X_709,one)),X_428)))) = complement(X_428) ),
inference(resolve,[$cnf( $equal(join(complement(X_428),complement(composition(top,composition(converse(join(X_709,one)),X_428)))),complement(meet(X_428,composition(top,composition(converse(join(X_709,one)),X_428))))) )],[refute_0_2976,refute_0_2977]) ).
cnf(refute_0_2979,plain,
complement(meet(X_428,composition(top,composition(converse(join(X_709,one)),X_428)))) = complement(X_428),
inference(resolve,[$cnf( $equal(join(complement(X_428),complement(composition(top,composition(converse(join(X_709,one)),X_428)))),complement(X_428)) )],[refute_0_2975,refute_0_2978]) ).
cnf(refute_0_2980,plain,
complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = complement(X_1924),
inference(subst,[],[refute_0_2979:[bind(X_428,$fot(X_1924)),bind(X_709,$fot(X_1925))]]) ).
cnf(refute_0_2981,plain,
( complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != complement(X_1924)
| join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),X_640)))
| join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),X_640)))) ),[1,1,1,0],$fot(complement(X_1924))]]) ).
cnf(refute_0_2982,plain,
( join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),X_640)))
| join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),complement(X_1924)) )],[refute_0_2980,refute_0_2981]) ).
cnf(refute_0_2983,plain,
join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))),
inference(resolve,[$cnf( $equal(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),X_640)))) )],[refute_0_2796,refute_0_2982]) ).
cnf(refute_0_2984,plain,
meet(X_1575,X_1576) = meet(meet(X_1575,X_1576),join(meet(X_1575,X_1576),join(meet(complement(X_1575),X_1576),X_1574))),
inference(subst,[],[refute_0_1214:[bind(X_124,$fot(join(meet(complement(X_1575),X_1576),X_1574))),bind(X_41,$fot(meet(X_1575,X_1576)))]]) ).
cnf(refute_0_2985,plain,
join(meet(X_94,X_95),join(meet(complement(X_94),X_95),X_121)) = join(join(meet(X_94,X_95),meet(complement(X_94),X_95)),X_121),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(meet(X_94,X_95))),bind(B,$fot(meet(complement(X_94),X_95))),bind(C,$fot(X_121))]]) ).
cnf(refute_0_2986,plain,
( X_95 != join(meet(X_94,X_95),meet(complement(X_94),X_95))
| join(meet(X_94,X_95),meet(complement(X_94),X_95)) = X_95 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_95)),bind(Y,$fot(join(meet(X_94,X_95),meet(complement(X_94),X_95))))]]) ).
cnf(refute_0_2987,plain,
join(meet(X_94,X_95),meet(complement(X_94),X_95)) = X_95,
inference(resolve,[$cnf( $equal(X_95,join(meet(X_94,X_95),meet(complement(X_94),X_95))) )],[refute_0_205,refute_0_2986]) ).
cnf(refute_0_2988,plain,
( join(meet(X_94,X_95),join(meet(complement(X_94),X_95),X_121)) != join(join(meet(X_94,X_95),meet(complement(X_94),X_95)),X_121)
| join(meet(X_94,X_95),meet(complement(X_94),X_95)) != X_95
| join(meet(X_94,X_95),join(meet(complement(X_94),X_95),X_121)) = join(X_95,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_94,X_95),join(meet(complement(X_94),X_95),X_121)),join(join(meet(X_94,X_95),meet(complement(X_94),X_95)),X_121)) ),[1,0],$fot(X_95)]]) ).
cnf(refute_0_2989,plain,
( join(meet(X_94,X_95),join(meet(complement(X_94),X_95),X_121)) != join(join(meet(X_94,X_95),meet(complement(X_94),X_95)),X_121)
| join(meet(X_94,X_95),join(meet(complement(X_94),X_95),X_121)) = join(X_95,X_121) ),
inference(resolve,[$cnf( $equal(join(meet(X_94,X_95),meet(complement(X_94),X_95)),X_95) )],[refute_0_2987,refute_0_2988]) ).
cnf(refute_0_2990,plain,
join(meet(X_94,X_95),join(meet(complement(X_94),X_95),X_121)) = join(X_95,X_121),
inference(resolve,[$cnf( $equal(join(meet(X_94,X_95),join(meet(complement(X_94),X_95),X_121)),join(join(meet(X_94,X_95),meet(complement(X_94),X_95)),X_121)) )],[refute_0_2985,refute_0_2989]) ).
cnf(refute_0_2991,plain,
join(meet(X_1575,X_1576),join(meet(complement(X_1575),X_1576),X_1574)) = join(X_1576,X_1574),
inference(subst,[],[refute_0_2990:[bind(X_121,$fot(X_1574)),bind(X_94,$fot(X_1575)),bind(X_95,$fot(X_1576))]]) ).
cnf(refute_0_2992,plain,
( join(meet(X_1575,X_1576),join(meet(complement(X_1575),X_1576),X_1574)) != join(X_1576,X_1574)
| meet(X_1575,X_1576) != meet(meet(X_1575,X_1576),join(meet(X_1575,X_1576),join(meet(complement(X_1575),X_1576),X_1574)))
| meet(X_1575,X_1576) = meet(meet(X_1575,X_1576),join(X_1576,X_1574)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_1575,X_1576),meet(meet(X_1575,X_1576),join(meet(X_1575,X_1576),join(meet(complement(X_1575),X_1576),X_1574)))) ),[1,1],$fot(join(X_1576,X_1574))]]) ).
cnf(refute_0_2993,plain,
( meet(X_1575,X_1576) != meet(meet(X_1575,X_1576),join(meet(X_1575,X_1576),join(meet(complement(X_1575),X_1576),X_1574)))
| meet(X_1575,X_1576) = meet(meet(X_1575,X_1576),join(X_1576,X_1574)) ),
inference(resolve,[$cnf( $equal(join(meet(X_1575,X_1576),join(meet(complement(X_1575),X_1576),X_1574)),join(X_1576,X_1574)) )],[refute_0_2991,refute_0_2992]) ).
cnf(refute_0_2994,plain,
meet(X_1575,X_1576) = meet(meet(X_1575,X_1576),join(X_1576,X_1574)),
inference(resolve,[$cnf( $equal(meet(X_1575,X_1576),meet(meet(X_1575,X_1576),join(meet(X_1575,X_1576),join(meet(complement(X_1575),X_1576),X_1574)))) )],[refute_0_2984,refute_0_2993]) ).
cnf(refute_0_2995,plain,
( meet(X_1575,X_1576) != meet(meet(X_1575,X_1576),join(X_1576,X_1574))
| meet(meet(X_1575,X_1576),join(X_1576,X_1574)) = meet(X_1575,X_1576) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_1575,X_1576))),bind(Y,$fot(meet(meet(X_1575,X_1576),join(X_1576,X_1574))))]]) ).
cnf(refute_0_2996,plain,
meet(meet(X_1575,X_1576),join(X_1576,X_1574)) = meet(X_1575,X_1576),
inference(resolve,[$cnf( $equal(meet(X_1575,X_1576),meet(meet(X_1575,X_1576),join(X_1576,X_1574))) )],[refute_0_2994,refute_0_2995]) ).
cnf(refute_0_2997,plain,
meet(meet(complement(X_1924),X_640),join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))) = meet(complement(X_1924),X_640),
inference(subst,[],[refute_0_2996:[bind(X_1574,$fot(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))),bind(X_1575,$fot(complement(X_1924))),bind(X_1576,$fot(X_640))]]) ).
cnf(refute_0_2998,plain,
meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)) = meet(meet(complement(X_1924),X_640),join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(meet(complement(X_1924),X_640))),bind(X_16,$fot(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))))]]) ).
cnf(refute_0_2999,plain,
( meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)) != meet(meet(complement(X_1924),X_640),join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))))
| meet(meet(complement(X_1924),X_640),join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))) != meet(complement(X_1924),X_640)
| meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)) = meet(complement(X_1924),X_640) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)))),bind(Y,$fot(meet(meet(complement(X_1924),X_640),join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))))),bind(Z,$fot(meet(complement(X_1924),X_640)))]]) ).
cnf(refute_0_3000,plain,
( meet(meet(complement(X_1924),X_640),join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))) != meet(complement(X_1924),X_640)
| meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)) = meet(complement(X_1924),X_640) ),
inference(resolve,[$cnf( $equal(meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)),meet(meet(complement(X_1924),X_640),join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))))) )],[refute_0_2998,refute_0_2999]) ).
cnf(refute_0_3001,plain,
meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)) = meet(complement(X_1924),X_640),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_1924),X_640),join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))),meet(complement(X_1924),X_640)) )],[refute_0_2997,refute_0_3000]) ).
cnf(refute_0_3002,plain,
join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))),
introduced(tautology,[refl,[$fot(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))))]]) ).
cnf(refute_0_3003,plain,
( join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)))
| meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)) != meet(complement(X_1924),X_640)
| join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)))) ),[1,1],$fot(meet(complement(X_1924),X_640))]]) ).
cnf(refute_0_3004,plain,
( meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)) != meet(complement(X_1924),X_640)
| join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) ),
inference(resolve,[$cnf( $equal(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)))) )],[refute_0_3002,refute_0_3003]) ).
cnf(refute_0_3005,plain,
join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)),
inference(resolve,[$cnf( $equal(meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)),meet(complement(X_1924),X_640)) )],[refute_0_3001,refute_0_3004]) ).
cnf(refute_0_3006,plain,
( join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)))
| join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))
| join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))) ),[0],$fot(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))))]]) ).
cnf(refute_0_3007,plain,
( join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)))
| join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) ),
inference(resolve,[$cnf( $equal(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))) )],[refute_0_3005,refute_0_3006]) ).
cnf(refute_0_3008,plain,
join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)),
inference(resolve,[$cnf( $equal(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),meet(complement(X_1924),X_640)))) )],[refute_0_2983,refute_0_3007]) ).
cnf(refute_0_3009,plain,
converse(join(converse(A),composition(complement(composition(top,composition(complement(converse(A)),top))),top))) = join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))),
inference(subst,[],[refute_0_93:[bind(X_5,$fot(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))]]) ).
cnf(refute_0_3010,plain,
join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(composition(converse(X_176),complement(composition(top,composition(X_176,top)))))))) = complement(converse(converse(X_176))),
inference(subst,[],[refute_0_1352:[bind(X_34,$fot(converse(X_176))),bind(X_35,$fot(complement(composition(top,composition(X_176,top)))))]]) ).
cnf(refute_0_3011,plain,
join(zero,composition(converse(composition(X_64,X_65)),complement(composition(composition(X_64,X_65),top)))) = zero,
inference(subst,[],[refute_0_2390:[bind(A,$fot(composition(X_64,X_65)))]]) ).
cnf(refute_0_3012,plain,
composition(X_64,composition(X_65,top)) = composition(composition(X_64,X_65),top),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(X_64)),bind(B,$fot(X_65)),bind(C,$fot(top))]]) ).
cnf(refute_0_3013,plain,
( composition(X_64,composition(X_65,top)) != composition(composition(X_64,X_65),top)
| composition(composition(X_64,X_65),top) = composition(X_64,composition(X_65,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(X_64,composition(X_65,top)))),bind(Y,$fot(composition(composition(X_64,X_65),top)))]]) ).
cnf(refute_0_3014,plain,
composition(composition(X_64,X_65),top) = composition(X_64,composition(X_65,top)),
inference(resolve,[$cnf( $equal(composition(X_64,composition(X_65,top)),composition(composition(X_64,X_65),top)) )],[refute_0_3012,refute_0_3013]) ).
cnf(refute_0_3015,plain,
( composition(composition(X_64,X_65),top) != composition(X_64,composition(X_65,top))
| join(zero,composition(converse(composition(X_64,X_65)),complement(composition(composition(X_64,X_65),top)))) != zero
| join(zero,composition(converse(composition(X_64,X_65)),complement(composition(X_64,composition(X_65,top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(composition(X_64,X_65)),complement(composition(composition(X_64,X_65),top)))),zero) ),[0,1,1,0],$fot(composition(X_64,composition(X_65,top)))]]) ).
cnf(refute_0_3016,plain,
( join(zero,composition(converse(composition(X_64,X_65)),complement(composition(composition(X_64,X_65),top)))) != zero
| join(zero,composition(converse(composition(X_64,X_65)),complement(composition(X_64,composition(X_65,top))))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(X_64,X_65),top),composition(X_64,composition(X_65,top))) )],[refute_0_3014,refute_0_3015]) ).
cnf(refute_0_3017,plain,
join(zero,composition(converse(composition(X_64,X_65)),complement(composition(X_64,composition(X_65,top))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(X_64,X_65)),complement(composition(composition(X_64,X_65),top)))),zero) )],[refute_0_3011,refute_0_3016]) ).
cnf(refute_0_3018,plain,
join(zero,composition(converse(composition(converse(B),converse(A))),complement(composition(converse(B),composition(converse(A),top))))) = zero,
inference(subst,[],[refute_0_3017:[bind(X_64,$fot(converse(B))),bind(X_65,$fot(converse(A)))]]) ).
cnf(refute_0_3019,plain,
( composition(converse(B),converse(A)) != converse(composition(A,B))
| join(zero,composition(converse(composition(converse(B),converse(A))),complement(composition(converse(B),composition(converse(A),top))))) != zero
| join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(composition(converse(B),converse(A))),complement(composition(converse(B),composition(converse(A),top))))),zero) ),[0,1,0,0],$fot(converse(composition(A,B)))]]) ).
cnf(refute_0_3020,plain,
( join(zero,composition(converse(composition(converse(B),converse(A))),complement(composition(converse(B),composition(converse(A),top))))) != zero
| join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(B),converse(A)),converse(composition(A,B))) )],[refute_0_1734,refute_0_3019]) ).
cnf(refute_0_3021,plain,
join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(converse(B),converse(A))),complement(composition(converse(B),composition(converse(A),top))))),zero) )],[refute_0_3018,refute_0_3020]) ).
cnf(refute_0_3022,plain,
composition(composition(A,B),complement(composition(converse(composition(A,B)),top))) = composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))),
inference(subst,[],[refute_0_4:[bind(C,$fot(complement(composition(converse(composition(A,B)),top))))]]) ).
cnf(refute_0_3023,plain,
converse(composition(converse(composition(converse(X_36),X_37)),X_35)) = composition(converse(X_35),composition(converse(X_36),X_37)),
inference(subst,[],[refute_0_20:[bind(A,$fot(composition(converse(X_36),X_37)))]]) ).
cnf(refute_0_3024,plain,
converse(composition(converse(X_36),X_37)) = composition(converse(X_37),X_36),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_36)),bind(X_35,$fot(X_37))]]) ).
cnf(refute_0_3025,plain,
( converse(composition(converse(X_36),X_37)) != composition(converse(X_37),X_36)
| converse(composition(converse(composition(converse(X_36),X_37)),X_35)) != composition(converse(X_35),composition(converse(X_36),X_37))
| converse(composition(composition(converse(X_37),X_36),X_35)) = composition(converse(X_35),composition(converse(X_36),X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(converse(X_36),X_37)),X_35)),composition(converse(X_35),composition(converse(X_36),X_37))) ),[0,0,0],$fot(composition(converse(X_37),X_36))]]) ).
cnf(refute_0_3026,plain,
( converse(composition(converse(composition(converse(X_36),X_37)),X_35)) != composition(converse(X_35),composition(converse(X_36),X_37))
| converse(composition(composition(converse(X_37),X_36),X_35)) = composition(converse(X_35),composition(converse(X_36),X_37)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_36),X_37)),composition(converse(X_37),X_36)) )],[refute_0_3024,refute_0_3025]) ).
cnf(refute_0_3027,plain,
converse(composition(composition(converse(X_37),X_36),X_35)) = composition(converse(X_35),composition(converse(X_36),X_37)),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(converse(X_36),X_37)),X_35)),composition(converse(X_35),composition(converse(X_36),X_37))) )],[refute_0_3023,refute_0_3026]) ).
cnf(refute_0_3028,plain,
converse(composition(converse(X_37),composition(X_36,X_35))) = composition(converse(composition(X_36,X_35)),X_37),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_37)),bind(X_35,$fot(composition(X_36,X_35)))]]) ).
cnf(refute_0_3029,plain,
composition(composition(converse(X_37),X_36),X_35) = composition(converse(X_37),composition(X_36,X_35)),
inference(subst,[],[refute_0_4:[bind(A,$fot(converse(X_37))),bind(B,$fot(X_36)),bind(C,$fot(X_35))]]) ).
cnf(refute_0_3030,plain,
converse(composition(composition(converse(X_37),X_36),X_35)) = converse(composition(composition(converse(X_37),X_36),X_35)),
introduced(tautology,[refl,[$fot(converse(composition(composition(converse(X_37),X_36),X_35)))]]) ).
cnf(refute_0_3031,plain,
( composition(composition(converse(X_37),X_36),X_35) != composition(converse(X_37),composition(X_36,X_35))
| converse(composition(composition(converse(X_37),X_36),X_35)) != converse(composition(composition(converse(X_37),X_36),X_35))
| converse(composition(composition(converse(X_37),X_36),X_35)) = converse(composition(converse(X_37),composition(X_36,X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_37),X_36),X_35)),converse(composition(composition(converse(X_37),X_36),X_35))) ),[1,0],$fot(composition(converse(X_37),composition(X_36,X_35)))]]) ).
cnf(refute_0_3032,plain,
( composition(composition(converse(X_37),X_36),X_35) != composition(converse(X_37),composition(X_36,X_35))
| converse(composition(composition(converse(X_37),X_36),X_35)) = converse(composition(converse(X_37),composition(X_36,X_35))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_37),X_36),X_35)),converse(composition(composition(converse(X_37),X_36),X_35))) )],[refute_0_3030,refute_0_3031]) ).
cnf(refute_0_3033,plain,
converse(composition(composition(converse(X_37),X_36),X_35)) = converse(composition(converse(X_37),composition(X_36,X_35))),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_37),X_36),X_35),composition(converse(X_37),composition(X_36,X_35))) )],[refute_0_3029,refute_0_3032]) ).
cnf(refute_0_3034,plain,
( converse(composition(composition(converse(X_37),X_36),X_35)) != converse(composition(converse(X_37),composition(X_36,X_35)))
| converse(composition(converse(X_37),composition(X_36,X_35))) != composition(converse(composition(X_36,X_35)),X_37)
| converse(composition(composition(converse(X_37),X_36),X_35)) = composition(converse(composition(X_36,X_35)),X_37) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(composition(converse(X_37),X_36),X_35)))),bind(Y,$fot(converse(composition(converse(X_37),composition(X_36,X_35))))),bind(Z,$fot(composition(converse(composition(X_36,X_35)),X_37)))]]) ).
cnf(refute_0_3035,plain,
( converse(composition(converse(X_37),composition(X_36,X_35))) != composition(converse(composition(X_36,X_35)),X_37)
| converse(composition(composition(converse(X_37),X_36),X_35)) = composition(converse(composition(X_36,X_35)),X_37) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_37),X_36),X_35)),converse(composition(converse(X_37),composition(X_36,X_35)))) )],[refute_0_3033,refute_0_3034]) ).
cnf(refute_0_3036,plain,
converse(composition(composition(converse(X_37),X_36),X_35)) = composition(converse(composition(X_36,X_35)),X_37),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_37),composition(X_36,X_35))),composition(converse(composition(X_36,X_35)),X_37)) )],[refute_0_3028,refute_0_3035]) ).
cnf(refute_0_3037,plain,
( converse(composition(composition(converse(X_37),X_36),X_35)) != composition(converse(X_35),composition(converse(X_36),X_37))
| converse(composition(composition(converse(X_37),X_36),X_35)) != composition(converse(composition(X_36,X_35)),X_37)
| composition(converse(composition(X_36,X_35)),X_37) = composition(converse(X_35),composition(converse(X_36),X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_37),X_36),X_35)),composition(converse(X_35),composition(converse(X_36),X_37))) ),[0],$fot(composition(converse(composition(X_36,X_35)),X_37))]]) ).
cnf(refute_0_3038,plain,
( converse(composition(composition(converse(X_37),X_36),X_35)) != composition(converse(X_35),composition(converse(X_36),X_37))
| composition(converse(composition(X_36,X_35)),X_37) = composition(converse(X_35),composition(converse(X_36),X_37)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_37),X_36),X_35)),composition(converse(composition(X_36,X_35)),X_37)) )],[refute_0_3036,refute_0_3037]) ).
cnf(refute_0_3039,plain,
composition(converse(composition(X_36,X_35)),X_37) = composition(converse(X_35),composition(converse(X_36),X_37)),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_37),X_36),X_35)),composition(converse(X_35),composition(converse(X_36),X_37))) )],[refute_0_3027,refute_0_3038]) ).
cnf(refute_0_3040,plain,
( composition(converse(composition(X_36,X_35)),X_37) != composition(converse(X_35),composition(converse(X_36),X_37))
| composition(converse(X_35),composition(converse(X_36),X_37)) = composition(converse(composition(X_36,X_35)),X_37) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(converse(composition(X_36,X_35)),X_37))),bind(Y,$fot(composition(converse(X_35),composition(converse(X_36),X_37))))]]) ).
cnf(refute_0_3041,plain,
composition(converse(X_35),composition(converse(X_36),X_37)) = composition(converse(composition(X_36,X_35)),X_37),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_36,X_35)),X_37),composition(converse(X_35),composition(converse(X_36),X_37))) )],[refute_0_3039,refute_0_3040]) ).
cnf(refute_0_3042,plain,
composition(converse(B),composition(converse(A),top)) = composition(converse(composition(A,B)),top),
inference(subst,[],[refute_0_3041:[bind(X_35,$fot(B)),bind(X_36,$fot(A)),bind(X_37,$fot(top))]]) ).
cnf(refute_0_3043,plain,
complement(composition(converse(B),composition(converse(A),top))) = complement(composition(converse(B),composition(converse(A),top))),
introduced(tautology,[refl,[$fot(complement(composition(converse(B),composition(converse(A),top))))]]) ).
cnf(refute_0_3044,plain,
( complement(composition(converse(B),composition(converse(A),top))) != complement(composition(converse(B),composition(converse(A),top)))
| composition(converse(B),composition(converse(A),top)) != composition(converse(composition(A,B)),top)
| complement(composition(converse(B),composition(converse(A),top))) = complement(composition(converse(composition(A,B)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(B),composition(converse(A),top))),complement(composition(converse(B),composition(converse(A),top)))) ),[1,0],$fot(composition(converse(composition(A,B)),top))]]) ).
cnf(refute_0_3045,plain,
( composition(converse(B),composition(converse(A),top)) != composition(converse(composition(A,B)),top)
| complement(composition(converse(B),composition(converse(A),top))) = complement(composition(converse(composition(A,B)),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(B),composition(converse(A),top))),complement(composition(converse(B),composition(converse(A),top)))) )],[refute_0_3043,refute_0_3044]) ).
cnf(refute_0_3046,plain,
complement(composition(converse(B),composition(converse(A),top))) = complement(composition(converse(composition(A,B)),top)),
inference(resolve,[$cnf( $equal(composition(converse(B),composition(converse(A),top)),composition(converse(composition(A,B)),top)) )],[refute_0_3042,refute_0_3045]) ).
cnf(refute_0_3047,plain,
composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))) = composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))),
introduced(tautology,[refl,[$fot(composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))))]]) ).
cnf(refute_0_3048,plain,
( complement(composition(converse(B),composition(converse(A),top))) != complement(composition(converse(composition(A,B)),top))
| composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))) != composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top))))
| composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))) = composition(composition(A,B),complement(composition(converse(composition(A,B)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))),composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top))))) ),[1,1],$fot(complement(composition(converse(composition(A,B)),top)))]]) ).
cnf(refute_0_3049,plain,
( complement(composition(converse(B),composition(converse(A),top))) != complement(composition(converse(composition(A,B)),top))
| composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))) = composition(composition(A,B),complement(composition(converse(composition(A,B)),top))) ),
inference(resolve,[$cnf( $equal(composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))),composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top))))) )],[refute_0_3047,refute_0_3048]) ).
cnf(refute_0_3050,plain,
composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))) = composition(composition(A,B),complement(composition(converse(composition(A,B)),top))),
inference(resolve,[$cnf( $equal(complement(composition(converse(B),composition(converse(A),top))),complement(composition(converse(composition(A,B)),top))) )],[refute_0_3046,refute_0_3049]) ).
cnf(refute_0_3051,plain,
converse(converse(composition(A,B))) = composition(A,B),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(A,B)))]]) ).
cnf(refute_0_3052,plain,
composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) = composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))))]]) ).
cnf(refute_0_3053,plain,
( composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) != composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))
| converse(converse(composition(A,B))) != composition(A,B)
| composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) = composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))),composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) ),[1,0],$fot(composition(A,B))]]) ).
cnf(refute_0_3054,plain,
( converse(converse(composition(A,B))) != composition(A,B)
| composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) = composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))),composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) )],[refute_0_3052,refute_0_3053]) ).
cnf(refute_0_3055,plain,
composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) = composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))),
inference(resolve,[$cnf( $equal(converse(converse(composition(A,B))),composition(A,B)) )],[refute_0_3051,refute_0_3054]) ).
cnf(refute_0_3056,plain,
( composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))) != composition(composition(A,B),complement(composition(converse(composition(A,B)),top)))
| composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) != composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top))))
| composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) = composition(composition(A,B),complement(composition(converse(composition(A,B)),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))))),bind(Y,$fot(composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))))),bind(Z,$fot(composition(composition(A,B),complement(composition(converse(composition(A,B)),top)))))]]) ).
cnf(refute_0_3057,plain,
( composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))) != composition(composition(A,B),complement(composition(converse(composition(A,B)),top)))
| composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) = composition(composition(A,B),complement(composition(converse(composition(A,B)),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))),composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top))))) )],[refute_0_3055,refute_0_3056]) ).
cnf(refute_0_3058,plain,
composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) = composition(composition(A,B),complement(composition(converse(composition(A,B)),top))),
inference(resolve,[$cnf( $equal(composition(composition(A,B),complement(composition(converse(B),composition(converse(A),top)))),composition(composition(A,B),complement(composition(converse(composition(A,B)),top)))) )],[refute_0_3050,refute_0_3057]) ).
cnf(refute_0_3059,plain,
( composition(composition(A,B),complement(composition(converse(composition(A,B)),top))) != composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))
| composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) != composition(composition(A,B),complement(composition(converse(composition(A,B)),top)))
| composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) = composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))))),bind(Y,$fot(composition(composition(A,B),complement(composition(converse(composition(A,B)),top))))),bind(Z,$fot(composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))))]]) ).
cnf(refute_0_3060,plain,
( composition(composition(A,B),complement(composition(converse(composition(A,B)),top))) != composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))
| composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) = composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))),composition(composition(A,B),complement(composition(converse(composition(A,B)),top)))) )],[refute_0_3058,refute_0_3059]) ).
cnf(refute_0_3061,plain,
composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) = composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))),
inference(resolve,[$cnf( $equal(composition(composition(A,B),complement(composition(converse(composition(A,B)),top))),composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) )],[refute_0_3022,refute_0_3060]) ).
cnf(refute_0_3062,plain,
join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) = join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))),
introduced(tautology,[refl,[$fot(join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))))]]) ).
cnf(refute_0_3063,plain,
( composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) != composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))
| join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) != join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))))
| join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) = join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))),join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))))) ),[1,1],$fot(composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))))]]) ).
cnf(refute_0_3064,plain,
( composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))) != composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))
| join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) = join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))),join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))))) )],[refute_0_3062,refute_0_3063]) ).
cnf(refute_0_3065,plain,
join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) = join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top)))),composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) )],[refute_0_3061,refute_0_3064]) ).
cnf(refute_0_3066,plain,
( join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) != join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))))
| join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) != zero
| join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))),zero) ),[0],$fot(join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))))]]) ).
cnf(refute_0_3067,plain,
( join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))) != zero
| join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))),join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))))) )],[refute_0_3065,refute_0_3066]) ).
cnf(refute_0_3068,plain,
join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(composition(A,B))),complement(composition(converse(B),composition(converse(A),top))))),zero) )],[refute_0_3021,refute_0_3067]) ).
cnf(refute_0_3069,plain,
composition(converse(composition(A,B)),top) = converse(composition(top,composition(A,B))),
inference(subst,[],[refute_0_2377:[bind(X_35,$fot(composition(A,B)))]]) ).
cnf(refute_0_3070,plain,
complement(composition(converse(composition(A,B)),top)) = complement(composition(converse(composition(A,B)),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(composition(A,B)),top)))]]) ).
cnf(refute_0_3071,plain,
( complement(composition(converse(composition(A,B)),top)) != complement(composition(converse(composition(A,B)),top))
| composition(converse(composition(A,B)),top) != converse(composition(top,composition(A,B)))
| complement(composition(converse(composition(A,B)),top)) = complement(converse(composition(top,composition(A,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(composition(A,B)),top)),complement(composition(converse(composition(A,B)),top))) ),[1,0],$fot(converse(composition(top,composition(A,B))))]]) ).
cnf(refute_0_3072,plain,
( composition(converse(composition(A,B)),top) != converse(composition(top,composition(A,B)))
| complement(composition(converse(composition(A,B)),top)) = complement(converse(composition(top,composition(A,B)))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(composition(A,B)),top)),complement(composition(converse(composition(A,B)),top))) )],[refute_0_3070,refute_0_3071]) ).
cnf(refute_0_3073,plain,
complement(composition(converse(composition(A,B)),top)) = complement(converse(composition(top,composition(A,B)))),
inference(resolve,[$cnf( $equal(composition(converse(composition(A,B)),top),converse(composition(top,composition(A,B)))) )],[refute_0_3069,refute_0_3072]) ).
cnf(refute_0_3074,plain,
composition(B,complement(composition(converse(composition(A,B)),top))) = composition(B,complement(composition(converse(composition(A,B)),top))),
introduced(tautology,[refl,[$fot(composition(B,complement(composition(converse(composition(A,B)),top))))]]) ).
cnf(refute_0_3075,plain,
( complement(composition(converse(composition(A,B)),top)) != complement(converse(composition(top,composition(A,B))))
| composition(B,complement(composition(converse(composition(A,B)),top))) != composition(B,complement(composition(converse(composition(A,B)),top)))
| composition(B,complement(composition(converse(composition(A,B)),top))) = composition(B,complement(converse(composition(top,composition(A,B))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(B,complement(composition(converse(composition(A,B)),top))),composition(B,complement(composition(converse(composition(A,B)),top)))) ),[1,1],$fot(complement(converse(composition(top,composition(A,B)))))]]) ).
cnf(refute_0_3076,plain,
( complement(composition(converse(composition(A,B)),top)) != complement(converse(composition(top,composition(A,B))))
| composition(B,complement(composition(converse(composition(A,B)),top))) = composition(B,complement(converse(composition(top,composition(A,B))))) ),
inference(resolve,[$cnf( $equal(composition(B,complement(composition(converse(composition(A,B)),top))),composition(B,complement(composition(converse(composition(A,B)),top)))) )],[refute_0_3074,refute_0_3075]) ).
cnf(refute_0_3077,plain,
composition(B,complement(composition(converse(composition(A,B)),top))) = composition(B,complement(converse(composition(top,composition(A,B))))),
inference(resolve,[$cnf( $equal(complement(composition(converse(composition(A,B)),top)),complement(converse(composition(top,composition(A,B))))) )],[refute_0_3073,refute_0_3076]) ).
cnf(refute_0_3078,plain,
composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))) = composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))),
introduced(tautology,[refl,[$fot(composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))))]]) ).
cnf(refute_0_3079,plain,
( composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))) != composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))
| composition(B,complement(composition(converse(composition(A,B)),top))) != composition(B,complement(converse(composition(top,composition(A,B)))))
| composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))) = composition(A,composition(B,complement(converse(composition(top,composition(A,B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))),composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) ),[1,1],$fot(composition(B,complement(converse(composition(top,composition(A,B))))))]]) ).
cnf(refute_0_3080,plain,
( composition(B,complement(composition(converse(composition(A,B)),top))) != composition(B,complement(converse(composition(top,composition(A,B)))))
| composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))) = composition(A,composition(B,complement(converse(composition(top,composition(A,B)))))) ),
inference(resolve,[$cnf( $equal(composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))),composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) )],[refute_0_3078,refute_0_3079]) ).
cnf(refute_0_3081,plain,
composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))) = composition(A,composition(B,complement(converse(composition(top,composition(A,B)))))),
inference(resolve,[$cnf( $equal(composition(B,complement(composition(converse(composition(A,B)),top))),composition(B,complement(converse(composition(top,composition(A,B)))))) )],[refute_0_3077,refute_0_3080]) ).
cnf(refute_0_3082,plain,
join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) = join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))),
introduced(tautology,[refl,[$fot(join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))))]]) ).
cnf(refute_0_3083,plain,
( composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))) != composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))
| join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) != join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))))
| join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) = join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))),join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))))) ),[1,1],$fot(composition(A,composition(B,complement(converse(composition(top,composition(A,B)))))))]]) ).
cnf(refute_0_3084,plain,
( composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))) != composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))
| join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) = join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))),join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))))) )],[refute_0_3082,refute_0_3083]) ).
cnf(refute_0_3085,plain,
join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) = join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))),
inference(resolve,[$cnf( $equal(composition(A,composition(B,complement(composition(converse(composition(A,B)),top)))),composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))) )],[refute_0_3081,refute_0_3084]) ).
cnf(refute_0_3086,plain,
( join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) != join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B)))))))
| join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) != zero
| join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))),zero) ),[0],$fot(join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))))]]) ).
cnf(refute_0_3087,plain,
( join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))) != zero
| join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))),join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B)))))))) )],[refute_0_3085,refute_0_3086]) ).
cnf(refute_0_3088,plain,
join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(A,composition(B,complement(composition(converse(composition(A,B)),top))))),zero) )],[refute_0_3068,refute_0_3087]) ).
cnf(refute_0_3089,plain,
join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))) = composition(A,composition(B,complement(converse(composition(top,composition(A,B)))))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))))]]) ).
cnf(refute_0_3090,plain,
( join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))) != composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))
| join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))) != zero
| composition(A,composition(B,complement(converse(composition(top,composition(A,B)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))),zero) ),[0],$fot(composition(A,composition(B,complement(converse(composition(top,composition(A,B)))))))]]) ).
cnf(refute_0_3091,plain,
( join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))) != zero
| composition(A,composition(B,complement(converse(composition(top,composition(A,B)))))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))),composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))) )],[refute_0_3089,refute_0_3090]) ).
cnf(refute_0_3092,plain,
composition(A,composition(B,complement(converse(composition(top,composition(A,B)))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(A,composition(B,complement(converse(composition(top,composition(A,B))))))),zero) )],[refute_0_3088,refute_0_3091]) ).
cnf(refute_0_3093,plain,
composition(converse(X_35),composition(top,complement(converse(composition(top,composition(converse(X_35),top)))))) = zero,
inference(subst,[],[refute_0_3092:[bind(A,$fot(converse(X_35))),bind(B,$fot(top))]]) ).
cnf(refute_0_3094,plain,
( composition(converse(X_35),composition(top,complement(converse(composition(top,composition(converse(X_35),top)))))) != zero
| composition(converse(X_35),top) != converse(composition(top,X_35))
| composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_35),composition(top,complement(converse(composition(top,composition(converse(X_35),top)))))),zero) ),[0,1,1,0,0,1],$fot(converse(composition(top,X_35)))]]) ).
cnf(refute_0_3095,plain,
( composition(converse(X_35),composition(top,complement(converse(composition(top,composition(converse(X_35),top)))))) != zero
| composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(X_35),top),converse(composition(top,X_35))) )],[refute_0_2377,refute_0_3094]) ).
cnf(refute_0_3096,plain,
composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(X_35),composition(top,complement(converse(composition(top,composition(converse(X_35),top)))))),zero) )],[refute_0_3093,refute_0_3095]) ).
cnf(refute_0_3097,plain,
composition(top,complement(composition(top,composition(X_35,top)))) = complement(composition(top,composition(X_35,top))),
inference(subst,[],[refute_0_2925:[bind(X_161,$fot(composition(X_35,top)))]]) ).
cnf(refute_0_3098,plain,
composition(top,composition(X_35,converse(top))) = composition(top,composition(X_35,converse(top))),
introduced(tautology,[refl,[$fot(composition(top,composition(X_35,converse(top))))]]) ).
cnf(refute_0_3099,plain,
( composition(X_35,converse(top)) != composition(X_35,top)
| composition(top,composition(X_35,converse(top))) != composition(top,composition(X_35,converse(top)))
| composition(top,composition(X_35,converse(top))) = composition(top,composition(X_35,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(X_35,converse(top))),composition(top,composition(X_35,converse(top)))) ),[1,1],$fot(composition(X_35,top))]]) ).
cnf(refute_0_3100,plain,
( composition(X_35,converse(top)) != composition(X_35,top)
| composition(top,composition(X_35,converse(top))) = composition(top,composition(X_35,top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(X_35,converse(top))),composition(top,composition(X_35,converse(top)))) )],[refute_0_3098,refute_0_3099]) ).
cnf(refute_0_3101,plain,
composition(top,composition(X_35,converse(top))) = composition(top,composition(X_35,top)),
inference(resolve,[$cnf( $equal(composition(X_35,converse(top)),composition(X_35,top)) )],[refute_0_2656,refute_0_3100]) ).
cnf(refute_0_3102,plain,
composition(composition(top,X_35),converse(top)) = composition(top,composition(X_35,converse(top))),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(X_35)),bind(C,$fot(converse(top)))]]) ).
cnf(refute_0_3103,plain,
converse(composition(top,converse(composition(top,X_35)))) = composition(composition(top,X_35),converse(top)),
inference(subst,[],[refute_0_104:[bind(A,$fot(composition(top,X_35))),bind(X_34,$fot(top))]]) ).
cnf(refute_0_3104,plain,
( composition(composition(top,X_35),converse(top)) != composition(top,composition(X_35,converse(top)))
| converse(composition(top,converse(composition(top,X_35)))) != composition(composition(top,X_35),converse(top))
| converse(composition(top,converse(composition(top,X_35)))) = composition(top,composition(X_35,converse(top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,converse(composition(top,X_35)))))),bind(Y,$fot(composition(composition(top,X_35),converse(top)))),bind(Z,$fot(composition(top,composition(X_35,converse(top)))))]]) ).
cnf(refute_0_3105,plain,
( composition(composition(top,X_35),converse(top)) != composition(top,composition(X_35,converse(top)))
| converse(composition(top,converse(composition(top,X_35)))) = composition(top,composition(X_35,converse(top))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(composition(top,X_35)))),composition(composition(top,X_35),converse(top))) )],[refute_0_3103,refute_0_3104]) ).
cnf(refute_0_3106,plain,
converse(composition(top,converse(composition(top,X_35)))) = composition(top,composition(X_35,converse(top))),
inference(resolve,[$cnf( $equal(composition(composition(top,X_35),converse(top)),composition(top,composition(X_35,converse(top)))) )],[refute_0_3102,refute_0_3105]) ).
cnf(refute_0_3107,plain,
( composition(top,composition(X_35,converse(top))) != composition(top,composition(X_35,top))
| converse(composition(top,converse(composition(top,X_35)))) != composition(top,composition(X_35,converse(top)))
| converse(composition(top,converse(composition(top,X_35)))) = composition(top,composition(X_35,top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,converse(composition(top,X_35)))))),bind(Y,$fot(composition(top,composition(X_35,converse(top))))),bind(Z,$fot(composition(top,composition(X_35,top))))]]) ).
cnf(refute_0_3108,plain,
( composition(top,composition(X_35,converse(top))) != composition(top,composition(X_35,top))
| converse(composition(top,converse(composition(top,X_35)))) = composition(top,composition(X_35,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(composition(top,X_35)))),composition(top,composition(X_35,converse(top)))) )],[refute_0_3106,refute_0_3107]) ).
cnf(refute_0_3109,plain,
converse(composition(top,converse(composition(top,X_35)))) = composition(top,composition(X_35,top)),
inference(resolve,[$cnf( $equal(composition(top,composition(X_35,converse(top))),composition(top,composition(X_35,top))) )],[refute_0_3101,refute_0_3108]) ).
cnf(refute_0_3110,plain,
complement(converse(composition(top,converse(composition(top,X_35))))) = complement(converse(composition(top,converse(composition(top,X_35))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,converse(composition(top,X_35))))))]]) ).
cnf(refute_0_3111,plain,
( complement(converse(composition(top,converse(composition(top,X_35))))) != complement(converse(composition(top,converse(composition(top,X_35)))))
| converse(composition(top,converse(composition(top,X_35)))) != composition(top,composition(X_35,top))
| complement(converse(composition(top,converse(composition(top,X_35))))) = complement(composition(top,composition(X_35,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,converse(composition(top,X_35))))),complement(converse(composition(top,converse(composition(top,X_35)))))) ),[1,0],$fot(composition(top,composition(X_35,top)))]]) ).
cnf(refute_0_3112,plain,
( converse(composition(top,converse(composition(top,X_35)))) != composition(top,composition(X_35,top))
| complement(converse(composition(top,converse(composition(top,X_35))))) = complement(composition(top,composition(X_35,top))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(composition(top,X_35))))),complement(converse(composition(top,converse(composition(top,X_35)))))) )],[refute_0_3110,refute_0_3111]) ).
cnf(refute_0_3113,plain,
complement(converse(composition(top,converse(composition(top,X_35))))) = complement(composition(top,composition(X_35,top))),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(composition(top,X_35)))),composition(top,composition(X_35,top))) )],[refute_0_3109,refute_0_3112]) ).
cnf(refute_0_3114,plain,
composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))) = composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))),
introduced(tautology,[refl,[$fot(composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))))]]) ).
cnf(refute_0_3115,plain,
( complement(converse(composition(top,converse(composition(top,X_35))))) != complement(composition(top,composition(X_35,top)))
| composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))) != composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))
| composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))) = composition(top,complement(composition(top,composition(X_35,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) ),[1,1],$fot(complement(composition(top,composition(X_35,top))))]]) ).
cnf(refute_0_3116,plain,
( complement(converse(composition(top,converse(composition(top,X_35))))) != complement(composition(top,composition(X_35,top)))
| composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))) = composition(top,complement(composition(top,composition(X_35,top)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) )],[refute_0_3114,refute_0_3115]) ).
cnf(refute_0_3117,plain,
composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))) = composition(top,complement(composition(top,composition(X_35,top)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(composition(top,X_35))))),complement(composition(top,composition(X_35,top)))) )],[refute_0_3113,refute_0_3116]) ).
cnf(refute_0_3118,plain,
( composition(top,complement(composition(top,composition(X_35,top)))) != complement(composition(top,composition(X_35,top)))
| composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))) != composition(top,complement(composition(top,composition(X_35,top))))
| composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))) = complement(composition(top,composition(X_35,top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))))),bind(Y,$fot(composition(top,complement(composition(top,composition(X_35,top)))))),bind(Z,$fot(complement(composition(top,composition(X_35,top)))))]]) ).
cnf(refute_0_3119,plain,
( composition(top,complement(composition(top,composition(X_35,top)))) != complement(composition(top,composition(X_35,top)))
| composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))) = complement(composition(top,composition(X_35,top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))),composition(top,complement(composition(top,composition(X_35,top))))) )],[refute_0_3117,refute_0_3118]) ).
cnf(refute_0_3120,plain,
composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))) = complement(composition(top,composition(X_35,top))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(X_35,top)))),complement(composition(top,composition(X_35,top)))) )],[refute_0_3097,refute_0_3119]) ).
cnf(refute_0_3121,plain,
composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) = composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))),
introduced(tautology,[refl,[$fot(composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))))]]) ).
cnf(refute_0_3122,plain,
( composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) != composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))))
| composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))) != complement(composition(top,composition(X_35,top)))
| composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) = composition(converse(X_35),complement(composition(top,composition(X_35,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))),composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))))) ),[1,1],$fot(complement(composition(top,composition(X_35,top))))]]) ).
cnf(refute_0_3123,plain,
( composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))) != complement(composition(top,composition(X_35,top)))
| composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) = composition(converse(X_35),complement(composition(top,composition(X_35,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))),composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))))) )],[refute_0_3121,refute_0_3122]) ).
cnf(refute_0_3124,plain,
composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) = composition(converse(X_35),complement(composition(top,composition(X_35,top)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,converse(composition(top,X_35)))))),complement(composition(top,composition(X_35,top)))) )],[refute_0_3120,refute_0_3123]) ).
cnf(refute_0_3125,plain,
( composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) != composition(converse(X_35),complement(composition(top,composition(X_35,top))))
| composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) != zero
| composition(converse(X_35),complement(composition(top,composition(X_35,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))),zero) ),[0],$fot(composition(converse(X_35),complement(composition(top,composition(X_35,top)))))]]) ).
cnf(refute_0_3126,plain,
( composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))) != zero
| composition(converse(X_35),complement(composition(top,composition(X_35,top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))),composition(converse(X_35),complement(composition(top,composition(X_35,top))))) )],[refute_0_3124,refute_0_3125]) ).
cnf(refute_0_3127,plain,
composition(converse(X_35),complement(composition(top,composition(X_35,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(X_35),composition(top,complement(converse(composition(top,converse(composition(top,X_35))))))),zero) )],[refute_0_3096,refute_0_3126]) ).
cnf(refute_0_3128,plain,
composition(converse(X_176),complement(composition(top,composition(X_176,top)))) = zero,
inference(subst,[],[refute_0_3127:[bind(X_35,$fot(X_176))]]) ).
cnf(refute_0_3129,plain,
( composition(converse(X_176),complement(composition(top,composition(X_176,top)))) != zero
| join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(composition(converse(X_176),complement(composition(top,composition(X_176,top)))))))) != complement(converse(converse(X_176)))
| join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = complement(converse(converse(X_176))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(composition(converse(X_176),complement(composition(top,composition(X_176,top)))))))),complement(converse(converse(X_176)))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_3130,plain,
( join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(composition(converse(X_176),complement(composition(top,composition(X_176,top)))))))) != complement(converse(converse(X_176)))
| join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = complement(converse(converse(X_176))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_176),complement(composition(top,composition(X_176,top)))),zero) )],[refute_0_3128,refute_0_3129]) ).
cnf(refute_0_3131,plain,
join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = complement(converse(converse(X_176))),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(composition(converse(X_176),complement(composition(top,composition(X_176,top)))))))),complement(converse(converse(X_176)))) )],[refute_0_3010,refute_0_3130]) ).
cnf(refute_0_3132,plain,
composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))) = composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))))]]) ).
cnf(refute_0_3133,plain,
( complement(converse(zero)) != top
| composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))) != composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))
| composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))) = composition(complement(composition(top,composition(X_176,top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3134,plain,
( complement(converse(zero)) != top
| composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))) = composition(complement(composition(top,composition(X_176,top))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) )],[refute_0_3132,refute_0_3133]) ).
cnf(refute_0_3135,plain,
composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))) = composition(complement(composition(top,composition(X_176,top))),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2246,refute_0_3134]) ).
cnf(refute_0_3136,plain,
join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))))]]) ).
cnf(refute_0_3137,plain,
( composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))) != composition(complement(composition(top,composition(X_176,top))),top)
| join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) != join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))))
| join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))),join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))))) ),[1,1],$fot(composition(complement(composition(top,composition(X_176,top))),top))]]) ).
cnf(refute_0_3138,plain,
( composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))) != composition(complement(composition(top,composition(X_176,top))),top)
| join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))),join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))))) )],[refute_0_3136,refute_0_3137]) ).
cnf(refute_0_3139,plain,
join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))),composition(complement(composition(top,composition(X_176,top))),top)) )],[refute_0_3135,refute_0_3138]) ).
cnf(refute_0_3140,plain,
converse(converse(X_176)) = X_176,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(X_176))]]) ).
cnf(refute_0_3141,plain,
complement(converse(converse(X_176))) = complement(converse(converse(X_176))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X_176))))]]) ).
cnf(refute_0_3142,plain,
( complement(converse(converse(X_176))) != complement(converse(converse(X_176)))
| converse(converse(X_176)) != X_176
| complement(converse(converse(X_176))) = complement(X_176) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_176))),complement(converse(converse(X_176)))) ),[1,0],$fot(X_176)]]) ).
cnf(refute_0_3143,plain,
( converse(converse(X_176)) != X_176
| complement(converse(converse(X_176))) = complement(X_176) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_176))),complement(converse(converse(X_176)))) )],[refute_0_3141,refute_0_3142]) ).
cnf(refute_0_3144,plain,
complement(converse(converse(X_176))) = complement(X_176),
inference(resolve,[$cnf( $equal(converse(converse(X_176)),X_176) )],[refute_0_3140,refute_0_3143]) ).
cnf(refute_0_3145,plain,
join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))))]]) ).
cnf(refute_0_3146,plain,
( complement(converse(converse(X_176))) != complement(X_176)
| join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) != join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))))
| join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))),join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))))) ),[1,0],$fot(complement(X_176))]]) ).
cnf(refute_0_3147,plain,
( complement(converse(converse(X_176))) != complement(X_176)
| join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))),join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))))) )],[refute_0_3145,refute_0_3146]) ).
cnf(refute_0_3148,plain,
join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_176))),complement(X_176)) )],[refute_0_3144,refute_0_3147]) ).
cnf(refute_0_3149,plain,
( join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) != join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top))
| join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) != join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))))
| join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))))),bind(Y,$fot(join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))))),bind(Z,$fot(join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top))))]]) ).
cnf(refute_0_3150,plain,
( join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) != join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top))
| join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))),join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero))))) )],[refute_0_3148,refute_0_3149]) ).
cnf(refute_0_3151,plain,
join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) = join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)),
inference(resolve,[$cnf( $equal(join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))),join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top))) )],[refute_0_3139,refute_0_3150]) ).
cnf(refute_0_3152,plain,
( join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) != complement(converse(converse(X_176)))
| join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) != join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top))
| join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)) = complement(converse(converse(X_176))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))),complement(converse(converse(X_176)))) ),[0],$fot(join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)))]]) ).
cnf(refute_0_3153,plain,
( join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) != complement(converse(converse(X_176)))
| join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)) = complement(converse(converse(X_176))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))),join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top))) )],[refute_0_3151,refute_0_3152]) ).
cnf(refute_0_3154,plain,
( complement(converse(converse(X_176))) != complement(X_176)
| join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)) != complement(converse(converse(X_176)))
| join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)) = complement(X_176) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)),complement(converse(converse(X_176)))) ),[1],$fot(complement(X_176))]]) ).
cnf(refute_0_3155,plain,
( join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)) != complement(converse(converse(X_176)))
| join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)) = complement(X_176) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_176))),complement(X_176)) )],[refute_0_3144,refute_0_3154]) ).
cnf(refute_0_3156,plain,
( join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))) != complement(converse(converse(X_176)))
| join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)) = complement(X_176) ),
inference(resolve,[$cnf( $equal(join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)),complement(converse(converse(X_176)))) )],[refute_0_3153,refute_0_3155]) ).
cnf(refute_0_3157,plain,
join(complement(X_176),composition(complement(composition(top,composition(X_176,top))),top)) = complement(X_176),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(X_176))),composition(complement(composition(top,composition(X_176,top))),complement(converse(zero)))),complement(converse(converse(X_176)))) )],[refute_0_3131,refute_0_3156]) ).
cnf(refute_0_3158,plain,
join(complement(complement(X_25)),composition(complement(composition(top,composition(complement(X_25),top))),top)) = complement(complement(X_25)),
inference(subst,[],[refute_0_3157:[bind(X_176,$fot(complement(X_25)))]]) ).
cnf(refute_0_3159,plain,
( complement(complement(X_25)) != X_25
| join(complement(complement(X_25)),composition(complement(composition(top,composition(complement(X_25),top))),top)) != complement(complement(X_25))
| join(X_25,composition(complement(composition(top,composition(complement(X_25),top))),top)) = complement(complement(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_25)),composition(complement(composition(top,composition(complement(X_25),top))),top)),complement(complement(X_25))) ),[0,0],$fot(X_25)]]) ).
cnf(refute_0_3160,plain,
( join(complement(complement(X_25)),composition(complement(composition(top,composition(complement(X_25),top))),top)) != complement(complement(X_25))
| join(X_25,composition(complement(composition(top,composition(complement(X_25),top))),top)) = complement(complement(X_25)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_3159]) ).
cnf(refute_0_3161,plain,
join(X_25,composition(complement(composition(top,composition(complement(X_25),top))),top)) = complement(complement(X_25)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_25)),composition(complement(composition(top,composition(complement(X_25),top))),top)),complement(complement(X_25))) )],[refute_0_3158,refute_0_3160]) ).
cnf(refute_0_3162,plain,
( complement(complement(X_25)) != X_25
| join(X_25,composition(complement(composition(top,composition(complement(X_25),top))),top)) != complement(complement(X_25))
| join(X_25,composition(complement(composition(top,composition(complement(X_25),top))),top)) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,composition(complement(composition(top,composition(complement(X_25),top))),top)),complement(complement(X_25))) ),[1],$fot(X_25)]]) ).
cnf(refute_0_3163,plain,
( join(X_25,composition(complement(composition(top,composition(complement(X_25),top))),top)) != complement(complement(X_25))
| join(X_25,composition(complement(composition(top,composition(complement(X_25),top))),top)) = X_25 ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_3162]) ).
cnf(refute_0_3164,plain,
join(X_25,composition(complement(composition(top,composition(complement(X_25),top))),top)) = X_25,
inference(resolve,[$cnf( $equal(join(X_25,composition(complement(composition(top,composition(complement(X_25),top))),top)),complement(complement(X_25))) )],[refute_0_3161,refute_0_3163]) ).
cnf(refute_0_3165,plain,
join(converse(A),composition(complement(composition(top,composition(complement(converse(A)),top))),top)) = converse(A),
inference(subst,[],[refute_0_3164:[bind(X_25,$fot(converse(A)))]]) ).
cnf(refute_0_3166,plain,
( converse(join(converse(A),composition(complement(composition(top,composition(complement(converse(A)),top))),top))) != join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))
| join(converse(A),composition(complement(composition(top,composition(complement(converse(A)),top))),top)) != converse(A)
| converse(converse(A)) = join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),composition(complement(composition(top,composition(complement(converse(A)),top))),top))),join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))) ),[0,0],$fot(converse(A))]]) ).
cnf(refute_0_3167,plain,
( converse(join(converse(A),composition(complement(composition(top,composition(complement(converse(A)),top))),top))) != join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))
| converse(converse(A)) = join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))) ),
inference(resolve,[$cnf( $equal(join(converse(A),composition(complement(composition(top,composition(complement(converse(A)),top))),top)),converse(A)) )],[refute_0_3165,refute_0_3166]) ).
cnf(refute_0_3168,plain,
converse(converse(A)) = join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),composition(complement(composition(top,composition(complement(converse(A)),top))),top))),join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))) )],[refute_0_3009,refute_0_3167]) ).
cnf(refute_0_3169,plain,
( converse(converse(A)) != A
| converse(converse(A)) != join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))
| A = join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(A)),join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))) ),[0],$fot(A)]]) ).
cnf(refute_0_3170,plain,
( converse(converse(A)) != join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))
| A = join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_3169]) ).
cnf(refute_0_3171,plain,
converse(converse(composition(top,composition(complement(A),top)))) = composition(top,composition(complement(A),top)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(top,composition(complement(A),top))))]]) ).
cnf(refute_0_3172,plain,
composition(composition(top,complement(A)),top) = composition(top,composition(complement(A),top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(complement(A))),bind(C,$fot(top))]]) ).
cnf(refute_0_3173,plain,
converse(composition(composition(top,complement(A)),top)) = converse(composition(composition(top,complement(A)),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,complement(A)),top)))]]) ).
cnf(refute_0_3174,plain,
( composition(composition(top,complement(A)),top) != composition(top,composition(complement(A),top))
| converse(composition(composition(top,complement(A)),top)) != converse(composition(composition(top,complement(A)),top))
| converse(composition(composition(top,complement(A)),top)) = converse(composition(top,composition(complement(A),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(A)),top)),converse(composition(composition(top,complement(A)),top))) ),[1,0],$fot(composition(top,composition(complement(A),top)))]]) ).
cnf(refute_0_3175,plain,
( composition(composition(top,complement(A)),top) != composition(top,composition(complement(A),top))
| converse(composition(composition(top,complement(A)),top)) = converse(composition(top,composition(complement(A),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(A)),top)),converse(composition(composition(top,complement(A)),top))) )],[refute_0_3173,refute_0_3174]) ).
cnf(refute_0_3176,plain,
converse(composition(composition(top,complement(A)),top)) = converse(composition(top,composition(complement(A),top))),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(A)),top),composition(top,composition(complement(A),top))) )],[refute_0_3172,refute_0_3175]) ).
cnf(refute_0_3177,plain,
composition(top,converse(composition(top,complement(A)))) = converse(composition(composition(top,complement(A)),top)),
inference(subst,[],[refute_0_2172:[bind(A,$fot(composition(top,complement(A))))]]) ).
cnf(refute_0_3178,plain,
( composition(top,converse(composition(top,complement(A)))) != converse(composition(composition(top,complement(A)),top))
| converse(composition(composition(top,complement(A)),top)) != converse(composition(top,composition(complement(A),top)))
| composition(top,converse(composition(top,complement(A)))) = converse(composition(top,composition(complement(A),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,converse(composition(top,complement(A)))))),bind(Y,$fot(converse(composition(composition(top,complement(A)),top)))),bind(Z,$fot(converse(composition(top,composition(complement(A),top)))))]]) ).
cnf(refute_0_3179,plain,
( converse(composition(composition(top,complement(A)),top)) != converse(composition(top,composition(complement(A),top)))
| composition(top,converse(composition(top,complement(A)))) = converse(composition(top,composition(complement(A),top))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(A)))),converse(composition(composition(top,complement(A)),top))) )],[refute_0_3177,refute_0_3178]) ).
cnf(refute_0_3180,plain,
composition(top,converse(composition(top,complement(A)))) = converse(composition(top,composition(complement(A),top))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(A)),top)),converse(composition(top,composition(complement(A),top)))) )],[refute_0_3176,refute_0_3179]) ).
cnf(refute_0_3181,plain,
converse(composition(top,complement(X_324))) = composition(converse(complement(X_324)),top),
inference(subst,[],[refute_0_2375:[bind(X_35,$fot(complement(X_324)))]]) ).
cnf(refute_0_3182,plain,
converse(complement(X_324)) = complement(converse(X_324)),
inference(subst,[],[refute_0_2565:[bind(X_183,$fot(X_324))]]) ).
cnf(refute_0_3183,plain,
( converse(complement(X_324)) != complement(converse(X_324))
| converse(composition(top,complement(X_324))) != composition(converse(complement(X_324)),top)
| converse(composition(top,complement(X_324))) = composition(complement(converse(X_324)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(X_324))),composition(converse(complement(X_324)),top)) ),[1,0],$fot(complement(converse(X_324)))]]) ).
cnf(refute_0_3184,plain,
( converse(composition(top,complement(X_324))) != composition(converse(complement(X_324)),top)
| converse(composition(top,complement(X_324))) = composition(complement(converse(X_324)),top) ),
inference(resolve,[$cnf( $equal(converse(complement(X_324)),complement(converse(X_324))) )],[refute_0_3182,refute_0_3183]) ).
cnf(refute_0_3185,plain,
converse(composition(top,complement(X_324))) = composition(complement(converse(X_324)),top),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(X_324))),composition(converse(complement(X_324)),top)) )],[refute_0_3181,refute_0_3184]) ).
cnf(refute_0_3186,plain,
( converse(composition(top,complement(X_324))) != composition(complement(converse(X_324)),top)
| composition(complement(converse(X_324)),top) = converse(composition(top,complement(X_324))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(top,complement(X_324))))),bind(Y,$fot(composition(complement(converse(X_324)),top)))]]) ).
cnf(refute_0_3187,plain,
composition(complement(converse(X_324)),top) = converse(composition(top,complement(X_324))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(X_324))),composition(complement(converse(X_324)),top)) )],[refute_0_3185,refute_0_3186]) ).
cnf(refute_0_3188,plain,
composition(complement(converse(A)),top) = converse(composition(top,complement(A))),
inference(subst,[],[refute_0_3187:[bind(X_324,$fot(A))]]) ).
cnf(refute_0_3189,plain,
composition(top,composition(complement(converse(A)),top)) = composition(top,composition(complement(converse(A)),top)),
introduced(tautology,[refl,[$fot(composition(top,composition(complement(converse(A)),top)))]]) ).
cnf(refute_0_3190,plain,
( composition(complement(converse(A)),top) != converse(composition(top,complement(A)))
| composition(top,composition(complement(converse(A)),top)) != composition(top,composition(complement(converse(A)),top))
| composition(top,composition(complement(converse(A)),top)) = composition(top,converse(composition(top,complement(A)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(converse(A)),top)),composition(top,composition(complement(converse(A)),top))) ),[1,1],$fot(converse(composition(top,complement(A))))]]) ).
cnf(refute_0_3191,plain,
( composition(complement(converse(A)),top) != converse(composition(top,complement(A)))
| composition(top,composition(complement(converse(A)),top)) = composition(top,converse(composition(top,complement(A)))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(A)),top)),composition(top,composition(complement(converse(A)),top))) )],[refute_0_3189,refute_0_3190]) ).
cnf(refute_0_3192,plain,
composition(top,composition(complement(converse(A)),top)) = composition(top,converse(composition(top,complement(A)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(A)),top),converse(composition(top,complement(A)))) )],[refute_0_3188,refute_0_3191]) ).
cnf(refute_0_3193,plain,
( composition(top,composition(complement(converse(A)),top)) != composition(top,converse(composition(top,complement(A))))
| composition(top,converse(composition(top,complement(A)))) != converse(composition(top,composition(complement(A),top)))
| composition(top,composition(complement(converse(A)),top)) = converse(composition(top,composition(complement(A),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,composition(complement(converse(A)),top)))),bind(Y,$fot(composition(top,converse(composition(top,complement(A)))))),bind(Z,$fot(converse(composition(top,composition(complement(A),top)))))]]) ).
cnf(refute_0_3194,plain,
( composition(top,converse(composition(top,complement(A)))) != converse(composition(top,composition(complement(A),top)))
| composition(top,composition(complement(converse(A)),top)) = converse(composition(top,composition(complement(A),top))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(A)),top)),composition(top,converse(composition(top,complement(A))))) )],[refute_0_3192,refute_0_3193]) ).
cnf(refute_0_3195,plain,
composition(top,composition(complement(converse(A)),top)) = converse(composition(top,composition(complement(A),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(A)))),converse(composition(top,composition(complement(A),top)))) )],[refute_0_3180,refute_0_3194]) ).
cnf(refute_0_3196,plain,
converse(composition(top,composition(complement(converse(A)),top))) = converse(composition(top,composition(complement(converse(A)),top))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(complement(converse(A)),top))))]]) ).
cnf(refute_0_3197,plain,
( composition(top,composition(complement(converse(A)),top)) != converse(composition(top,composition(complement(A),top)))
| converse(composition(top,composition(complement(converse(A)),top))) != converse(composition(top,composition(complement(converse(A)),top)))
| converse(composition(top,composition(complement(converse(A)),top))) = converse(converse(composition(top,composition(complement(A),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(converse(A)),top))),converse(composition(top,composition(complement(converse(A)),top)))) ),[1,0],$fot(converse(composition(top,composition(complement(A),top))))]]) ).
cnf(refute_0_3198,plain,
( composition(top,composition(complement(converse(A)),top)) != converse(composition(top,composition(complement(A),top)))
| converse(composition(top,composition(complement(converse(A)),top))) = converse(converse(composition(top,composition(complement(A),top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(A)),top))),converse(composition(top,composition(complement(converse(A)),top)))) )],[refute_0_3196,refute_0_3197]) ).
cnf(refute_0_3199,plain,
converse(composition(top,composition(complement(converse(A)),top))) = converse(converse(composition(top,composition(complement(A),top)))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(A)),top)),converse(composition(top,composition(complement(A),top)))) )],[refute_0_3195,refute_0_3198]) ).
cnf(refute_0_3200,plain,
( converse(composition(top,composition(complement(converse(A)),top))) != converse(converse(composition(top,composition(complement(A),top))))
| converse(converse(composition(top,composition(complement(A),top)))) != composition(top,composition(complement(A),top))
| converse(composition(top,composition(complement(converse(A)),top))) = composition(top,composition(complement(A),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,composition(complement(converse(A)),top))))),bind(Y,$fot(converse(converse(composition(top,composition(complement(A),top)))))),bind(Z,$fot(composition(top,composition(complement(A),top))))]]) ).
cnf(refute_0_3201,plain,
( converse(converse(composition(top,composition(complement(A),top)))) != composition(top,composition(complement(A),top))
| converse(composition(top,composition(complement(converse(A)),top))) = composition(top,composition(complement(A),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(A)),top))),converse(converse(composition(top,composition(complement(A),top))))) )],[refute_0_3199,refute_0_3200]) ).
cnf(refute_0_3202,plain,
converse(composition(top,composition(complement(converse(A)),top))) = composition(top,composition(complement(A),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,composition(complement(A),top)))),composition(top,composition(complement(A),top))) )],[refute_0_3171,refute_0_3201]) ).
cnf(refute_0_3203,plain,
complement(converse(composition(top,composition(complement(converse(A)),top)))) = complement(converse(composition(top,composition(complement(converse(A)),top)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(complement(converse(A)),top)))))]]) ).
cnf(refute_0_3204,plain,
( complement(converse(composition(top,composition(complement(converse(A)),top)))) != complement(converse(composition(top,composition(complement(converse(A)),top))))
| converse(composition(top,composition(complement(converse(A)),top))) != composition(top,composition(complement(A),top))
| complement(converse(composition(top,composition(complement(converse(A)),top)))) = complement(composition(top,composition(complement(A),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(complement(converse(A)),top)))),complement(converse(composition(top,composition(complement(converse(A)),top))))) ),[1,0],$fot(composition(top,composition(complement(A),top)))]]) ).
cnf(refute_0_3205,plain,
( converse(composition(top,composition(complement(converse(A)),top))) != composition(top,composition(complement(A),top))
| complement(converse(composition(top,composition(complement(converse(A)),top)))) = complement(composition(top,composition(complement(A),top))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(complement(converse(A)),top)))),complement(converse(composition(top,composition(complement(converse(A)),top))))) )],[refute_0_3203,refute_0_3204]) ).
cnf(refute_0_3206,plain,
complement(converse(composition(top,composition(complement(converse(A)),top)))) = complement(composition(top,composition(complement(A),top))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(A)),top))),composition(top,composition(complement(A),top))) )],[refute_0_3202,refute_0_3205]) ).
cnf(refute_0_3207,plain,
composition(join(X_147,X_148),complement(converse(composition(top,X_148)))) = join(composition(X_147,complement(converse(composition(top,X_148)))),composition(X_148,complement(converse(composition(top,X_148))))),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_147)),bind(B,$fot(X_148)),bind(C,$fot(complement(converse(composition(top,X_148)))))]]) ).
cnf(refute_0_3208,plain,
composition(X_148,complement(converse(composition(top,X_148)))) = zero,
inference(subst,[],[refute_0_2414:[bind(A,$fot(X_148))]]) ).
cnf(refute_0_3209,plain,
( composition(X_148,complement(converse(composition(top,X_148)))) != zero
| composition(join(X_147,X_148),complement(converse(composition(top,X_148)))) != join(composition(X_147,complement(converse(composition(top,X_148)))),composition(X_148,complement(converse(composition(top,X_148)))))
| composition(join(X_147,X_148),complement(converse(composition(top,X_148)))) = join(composition(X_147,complement(converse(composition(top,X_148)))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_147,X_148),complement(converse(composition(top,X_148)))),join(composition(X_147,complement(converse(composition(top,X_148)))),composition(X_148,complement(converse(composition(top,X_148)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3210,plain,
( composition(join(X_147,X_148),complement(converse(composition(top,X_148)))) != join(composition(X_147,complement(converse(composition(top,X_148)))),composition(X_148,complement(converse(composition(top,X_148)))))
| composition(join(X_147,X_148),complement(converse(composition(top,X_148)))) = join(composition(X_147,complement(converse(composition(top,X_148)))),zero) ),
inference(resolve,[$cnf( $equal(composition(X_148,complement(converse(composition(top,X_148)))),zero) )],[refute_0_3208,refute_0_3209]) ).
cnf(refute_0_3211,plain,
composition(join(X_147,X_148),complement(converse(composition(top,X_148)))) = join(composition(X_147,complement(converse(composition(top,X_148)))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_147,X_148),complement(converse(composition(top,X_148)))),join(composition(X_147,complement(converse(composition(top,X_148)))),composition(X_148,complement(converse(composition(top,X_148)))))) )],[refute_0_3207,refute_0_3210]) ).
cnf(refute_0_3212,plain,
join(composition(X_147,complement(converse(composition(top,X_148)))),zero) = composition(X_147,complement(converse(composition(top,X_148)))),
inference(subst,[],[refute_0_1072:[bind(X_41,$fot(composition(X_147,complement(converse(composition(top,X_148))))))]]) ).
cnf(refute_0_3213,plain,
( composition(join(X_147,X_148),complement(converse(composition(top,X_148)))) != join(composition(X_147,complement(converse(composition(top,X_148)))),zero)
| join(composition(X_147,complement(converse(composition(top,X_148)))),zero) != composition(X_147,complement(converse(composition(top,X_148))))
| composition(join(X_147,X_148),complement(converse(composition(top,X_148)))) = composition(X_147,complement(converse(composition(top,X_148)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_147,X_148),complement(converse(composition(top,X_148)))),composition(X_147,complement(converse(composition(top,X_148))))) ),[0],$fot(join(composition(X_147,complement(converse(composition(top,X_148)))),zero))]]) ).
cnf(refute_0_3214,plain,
( composition(join(X_147,X_148),complement(converse(composition(top,X_148)))) != join(composition(X_147,complement(converse(composition(top,X_148)))),zero)
| composition(join(X_147,X_148),complement(converse(composition(top,X_148)))) = composition(X_147,complement(converse(composition(top,X_148)))) ),
inference(resolve,[$cnf( $equal(join(composition(X_147,complement(converse(composition(top,X_148)))),zero),composition(X_147,complement(converse(composition(top,X_148))))) )],[refute_0_3212,refute_0_3213]) ).
cnf(refute_0_3215,plain,
composition(join(X_147,X_148),complement(converse(composition(top,X_148)))) = composition(X_147,complement(converse(composition(top,X_148)))),
inference(resolve,[$cnf( $equal(composition(join(X_147,X_148),complement(converse(composition(top,X_148)))),join(composition(X_147,complement(converse(composition(top,X_148)))),zero)) )],[refute_0_3211,refute_0_3214]) ).
cnf(refute_0_3216,plain,
composition(join(X_147,composition(complement(X_147),top)),complement(converse(composition(top,composition(complement(X_147),top))))) = composition(X_147,complement(converse(composition(top,composition(complement(X_147),top))))),
inference(subst,[],[refute_0_3215:[bind(X_148,$fot(composition(complement(X_147),top)))]]) ).
cnf(refute_0_3217,plain,
converse(join(converse(A),converse(composition(complement(converse(converse(A))),top)))) = join(A,converse(converse(composition(complement(converse(converse(A))),top)))),
inference(subst,[],[refute_0_93:[bind(X_5,$fot(converse(composition(complement(converse(converse(A))),top))))]]) ).
cnf(refute_0_3218,plain,
join(converse(A),converse(composition(complement(converse(converse(A))),top))) = top,
inference(subst,[],[refute_0_2180:[bind(X_267,$fot(converse(A)))]]) ).
cnf(refute_0_3219,plain,
( converse(join(converse(A),converse(composition(complement(converse(converse(A))),top)))) != join(A,converse(converse(composition(complement(converse(converse(A))),top))))
| join(converse(A),converse(composition(complement(converse(converse(A))),top))) != top
| converse(top) = join(A,converse(converse(composition(complement(converse(converse(A))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),converse(composition(complement(converse(converse(A))),top)))),join(A,converse(converse(composition(complement(converse(converse(A))),top))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3220,plain,
( converse(join(converse(A),converse(composition(complement(converse(converse(A))),top)))) != join(A,converse(converse(composition(complement(converse(converse(A))),top))))
| converse(top) = join(A,converse(converse(composition(complement(converse(converse(A))),top)))) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(composition(complement(converse(converse(A))),top))),top) )],[refute_0_3218,refute_0_3219]) ).
cnf(refute_0_3221,plain,
converse(top) = join(A,converse(converse(composition(complement(converse(converse(A))),top)))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),converse(composition(complement(converse(converse(A))),top)))),join(A,converse(converse(composition(complement(converse(converse(A))),top))))) )],[refute_0_3217,refute_0_3220]) ).
cnf(refute_0_3222,plain,
( converse(top) != join(A,converse(converse(composition(complement(converse(converse(A))),top))))
| converse(top) != top
| top = join(A,converse(converse(composition(complement(converse(converse(A))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(A,converse(converse(composition(complement(converse(converse(A))),top))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3223,plain,
( converse(top) != join(A,converse(converse(composition(complement(converse(converse(A))),top))))
| top = join(A,converse(converse(composition(complement(converse(converse(A))),top)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_3222]) ).
cnf(refute_0_3224,plain,
composition(complement(converse(converse(A))),top) = composition(complement(converse(converse(A))),top),
introduced(tautology,[refl,[$fot(composition(complement(converse(converse(A))),top))]]) ).
cnf(refute_0_3225,plain,
( complement(converse(converse(A))) != complement(A)
| composition(complement(converse(converse(A))),top) != composition(complement(converse(converse(A))),top)
| composition(complement(converse(converse(A))),top) = composition(complement(A),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(converse(A))),top),composition(complement(converse(converse(A))),top)) ),[1,0],$fot(complement(A))]]) ).
cnf(refute_0_3226,plain,
( complement(converse(converse(A))) != complement(A)
| composition(complement(converse(converse(A))),top) = composition(complement(A),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(converse(A))),top),composition(complement(converse(converse(A))),top)) )],[refute_0_3224,refute_0_3225]) ).
cnf(refute_0_3227,plain,
composition(complement(converse(converse(A))),top) = composition(complement(A),top),
inference(resolve,[$cnf( $equal(complement(converse(converse(A))),complement(A)) )],[refute_0_751,refute_0_3226]) ).
cnf(refute_0_3228,plain,
converse(converse(composition(complement(converse(converse(A))),top))) = composition(complement(converse(converse(A))),top),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(complement(converse(converse(A))),top)))]]) ).
cnf(refute_0_3229,plain,
( composition(complement(converse(converse(A))),top) != composition(complement(A),top)
| converse(converse(composition(complement(converse(converse(A))),top))) != composition(complement(converse(converse(A))),top)
| converse(converse(composition(complement(converse(converse(A))),top))) = composition(complement(A),top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(converse(composition(complement(converse(converse(A))),top))))),bind(Y,$fot(composition(complement(converse(converse(A))),top))),bind(Z,$fot(composition(complement(A),top)))]]) ).
cnf(refute_0_3230,plain,
( composition(complement(converse(converse(A))),top) != composition(complement(A),top)
| converse(converse(composition(complement(converse(converse(A))),top))) = composition(complement(A),top) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(converse(converse(A))),top))),composition(complement(converse(converse(A))),top)) )],[refute_0_3228,refute_0_3229]) ).
cnf(refute_0_3231,plain,
converse(converse(composition(complement(converse(converse(A))),top))) = composition(complement(A),top),
inference(resolve,[$cnf( $equal(composition(complement(converse(converse(A))),top),composition(complement(A),top)) )],[refute_0_3227,refute_0_3230]) ).
cnf(refute_0_3232,plain,
join(A,converse(converse(composition(complement(converse(converse(A))),top)))) = join(A,converse(converse(composition(complement(converse(converse(A))),top)))),
introduced(tautology,[refl,[$fot(join(A,converse(converse(composition(complement(converse(converse(A))),top)))))]]) ).
cnf(refute_0_3233,plain,
( converse(converse(composition(complement(converse(converse(A))),top))) != composition(complement(A),top)
| join(A,converse(converse(composition(complement(converse(converse(A))),top)))) != join(A,converse(converse(composition(complement(converse(converse(A))),top))))
| join(A,converse(converse(composition(complement(converse(converse(A))),top)))) = join(A,composition(complement(A),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(converse(composition(complement(converse(converse(A))),top)))),join(A,converse(converse(composition(complement(converse(converse(A))),top))))) ),[1,1],$fot(composition(complement(A),top))]]) ).
cnf(refute_0_3234,plain,
( converse(converse(composition(complement(converse(converse(A))),top))) != composition(complement(A),top)
| join(A,converse(converse(composition(complement(converse(converse(A))),top)))) = join(A,composition(complement(A),top)) ),
inference(resolve,[$cnf( $equal(join(A,converse(converse(composition(complement(converse(converse(A))),top)))),join(A,converse(converse(composition(complement(converse(converse(A))),top))))) )],[refute_0_3232,refute_0_3233]) ).
cnf(refute_0_3235,plain,
join(A,converse(converse(composition(complement(converse(converse(A))),top)))) = join(A,composition(complement(A),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(converse(converse(A))),top))),composition(complement(A),top)) )],[refute_0_3231,refute_0_3234]) ).
cnf(refute_0_3236,plain,
( join(A,converse(converse(composition(complement(converse(converse(A))),top)))) != join(A,composition(complement(A),top))
| top != join(A,converse(converse(composition(complement(converse(converse(A))),top))))
| top = join(A,composition(complement(A),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(A,converse(converse(composition(complement(converse(converse(A))),top))))) ),[1],$fot(join(A,composition(complement(A),top)))]]) ).
cnf(refute_0_3237,plain,
( top != join(A,converse(converse(composition(complement(converse(converse(A))),top))))
| top = join(A,composition(complement(A),top)) ),
inference(resolve,[$cnf( $equal(join(A,converse(converse(composition(complement(converse(converse(A))),top)))),join(A,composition(complement(A),top))) )],[refute_0_3235,refute_0_3236]) ).
cnf(refute_0_3238,plain,
( converse(top) != join(A,converse(converse(composition(complement(converse(converse(A))),top))))
| top = join(A,composition(complement(A),top)) ),
inference(resolve,[$cnf( $equal(top,join(A,converse(converse(composition(complement(converse(converse(A))),top))))) )],[refute_0_3223,refute_0_3237]) ).
cnf(refute_0_3239,plain,
top = join(A,composition(complement(A),top)),
inference(resolve,[$cnf( $equal(converse(top),join(A,converse(converse(composition(complement(converse(converse(A))),top))))) )],[refute_0_3221,refute_0_3238]) ).
cnf(refute_0_3240,plain,
top = join(X_147,composition(complement(X_147),top)),
inference(subst,[],[refute_0_3239:[bind(A,$fot(X_147))]]) ).
cnf(refute_0_3241,plain,
( top != join(X_147,composition(complement(X_147),top))
| join(X_147,composition(complement(X_147),top)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_147,composition(complement(X_147),top))))]]) ).
cnf(refute_0_3242,plain,
join(X_147,composition(complement(X_147),top)) = top,
inference(resolve,[$cnf( $equal(top,join(X_147,composition(complement(X_147),top))) )],[refute_0_3240,refute_0_3241]) ).
cnf(refute_0_3243,plain,
( composition(join(X_147,composition(complement(X_147),top)),complement(converse(composition(top,composition(complement(X_147),top))))) != composition(X_147,complement(converse(composition(top,composition(complement(X_147),top)))))
| join(X_147,composition(complement(X_147),top)) != top
| composition(top,complement(converse(composition(top,composition(complement(X_147),top))))) = composition(X_147,complement(converse(composition(top,composition(complement(X_147),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_147,composition(complement(X_147),top)),complement(converse(composition(top,composition(complement(X_147),top))))),composition(X_147,complement(converse(composition(top,composition(complement(X_147),top)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3244,plain,
( composition(join(X_147,composition(complement(X_147),top)),complement(converse(composition(top,composition(complement(X_147),top))))) != composition(X_147,complement(converse(composition(top,composition(complement(X_147),top)))))
| composition(top,complement(converse(composition(top,composition(complement(X_147),top))))) = composition(X_147,complement(converse(composition(top,composition(complement(X_147),top))))) ),
inference(resolve,[$cnf( $equal(join(X_147,composition(complement(X_147),top)),top) )],[refute_0_3242,refute_0_3243]) ).
cnf(refute_0_3245,plain,
composition(top,complement(converse(composition(top,composition(complement(X_147),top))))) = composition(X_147,complement(converse(composition(top,composition(complement(X_147),top))))),
inference(resolve,[$cnf( $equal(composition(join(X_147,composition(complement(X_147),top)),complement(converse(composition(top,composition(complement(X_147),top))))),composition(X_147,complement(converse(composition(top,composition(complement(X_147),top)))))) )],[refute_0_3216,refute_0_3244]) ).
cnf(refute_0_3246,plain,
composition(join(X_224,converse(composition(top,complement(converse(X_224))))),complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),
inference(subst,[],[refute_0_3215:[bind(X_147,$fot(X_224)),bind(X_148,$fot(converse(composition(top,complement(converse(X_224))))))]]) ).
cnf(refute_0_3247,plain,
converse(join(converse(A),composition(top,complement(converse(A))))) = join(A,converse(composition(top,complement(converse(A))))),
inference(subst,[],[refute_0_93:[bind(X_5,$fot(composition(top,complement(converse(A)))))]]) ).
cnf(refute_0_3248,plain,
join(X_119,join(complement(X_119),composition(X_150,complement(X_119)))) = top,
inference(subst,[],[refute_0_1175:[bind(X_121,$fot(composition(X_150,complement(X_119))))]]) ).
cnf(refute_0_3249,plain,
composition(join(X_150,one),complement(X_119)) = join(complement(X_119),composition(X_150,complement(X_119))),
inference(subst,[],[refute_0_57:[bind(X_147,$fot(X_150)),bind(X_149,$fot(complement(X_119)))]]) ).
cnf(refute_0_3250,plain,
( composition(join(X_150,one),complement(X_119)) != join(complement(X_119),composition(X_150,complement(X_119)))
| join(complement(X_119),composition(X_150,complement(X_119))) = composition(join(X_150,one),complement(X_119)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_150,one),complement(X_119)))),bind(Y,$fot(join(complement(X_119),composition(X_150,complement(X_119)))))]]) ).
cnf(refute_0_3251,plain,
join(complement(X_119),composition(X_150,complement(X_119))) = composition(join(X_150,one),complement(X_119)),
inference(resolve,[$cnf( $equal(composition(join(X_150,one),complement(X_119)),join(complement(X_119),composition(X_150,complement(X_119)))) )],[refute_0_3249,refute_0_3250]) ).
cnf(refute_0_3252,plain,
( join(X_119,join(complement(X_119),composition(X_150,complement(X_119)))) != top
| join(complement(X_119),composition(X_150,complement(X_119))) != composition(join(X_150,one),complement(X_119))
| join(X_119,composition(join(X_150,one),complement(X_119))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_119,join(complement(X_119),composition(X_150,complement(X_119)))),top) ),[0,1],$fot(composition(join(X_150,one),complement(X_119)))]]) ).
cnf(refute_0_3253,plain,
( join(X_119,join(complement(X_119),composition(X_150,complement(X_119)))) != top
| join(X_119,composition(join(X_150,one),complement(X_119))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_119),composition(X_150,complement(X_119))),composition(join(X_150,one),complement(X_119))) )],[refute_0_3251,refute_0_3252]) ).
cnf(refute_0_3254,plain,
join(X_119,composition(join(X_150,one),complement(X_119))) = top,
inference(resolve,[$cnf( $equal(join(X_119,join(complement(X_119),composition(X_150,complement(X_119)))),top) )],[refute_0_3248,refute_0_3253]) ).
cnf(refute_0_3255,plain,
join(X_119,composition(join(top,one),complement(X_119))) = top,
inference(subst,[],[refute_0_3254:[bind(X_150,$fot(top))]]) ).
cnf(refute_0_3256,plain,
( join(X_119,composition(join(top,one),complement(X_119))) != top
| join(top,one) != top
| join(X_119,composition(top,complement(X_119))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_119,composition(join(top,one),complement(X_119))),top) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_3257,plain,
( join(X_119,composition(join(top,one),complement(X_119))) != top
| join(X_119,composition(top,complement(X_119))) = top ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_0_2163,refute_0_3256]) ).
cnf(refute_0_3258,plain,
join(X_119,composition(top,complement(X_119))) = top,
inference(resolve,[$cnf( $equal(join(X_119,composition(join(top,one),complement(X_119))),top) )],[refute_0_3255,refute_0_3257]) ).
cnf(refute_0_3259,plain,
join(converse(A),composition(top,complement(converse(A)))) = top,
inference(subst,[],[refute_0_3258:[bind(X_119,$fot(converse(A)))]]) ).
cnf(refute_0_3260,plain,
( converse(join(converse(A),composition(top,complement(converse(A))))) != join(A,converse(composition(top,complement(converse(A)))))
| join(converse(A),composition(top,complement(converse(A)))) != top
| converse(top) = join(A,converse(composition(top,complement(converse(A))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),composition(top,complement(converse(A))))),join(A,converse(composition(top,complement(converse(A)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3261,plain,
( converse(join(converse(A),composition(top,complement(converse(A))))) != join(A,converse(composition(top,complement(converse(A)))))
| converse(top) = join(A,converse(composition(top,complement(converse(A))))) ),
inference(resolve,[$cnf( $equal(join(converse(A),composition(top,complement(converse(A)))),top) )],[refute_0_3259,refute_0_3260]) ).
cnf(refute_0_3262,plain,
converse(top) = join(A,converse(composition(top,complement(converse(A))))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),composition(top,complement(converse(A))))),join(A,converse(composition(top,complement(converse(A)))))) )],[refute_0_3247,refute_0_3261]) ).
cnf(refute_0_3263,plain,
( converse(top) != join(A,converse(composition(top,complement(converse(A)))))
| converse(top) != top
| top = join(A,converse(composition(top,complement(converse(A))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(A,converse(composition(top,complement(converse(A)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3264,plain,
( converse(top) != join(A,converse(composition(top,complement(converse(A)))))
| top = join(A,converse(composition(top,complement(converse(A))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_3263]) ).
cnf(refute_0_3265,plain,
top = join(A,converse(composition(top,complement(converse(A))))),
inference(resolve,[$cnf( $equal(converse(top),join(A,converse(composition(top,complement(converse(A)))))) )],[refute_0_3262,refute_0_3264]) ).
cnf(refute_0_3266,plain,
top = join(X_224,converse(composition(top,complement(converse(X_224))))),
inference(subst,[],[refute_0_3265:[bind(A,$fot(X_224))]]) ).
cnf(refute_0_3267,plain,
( top != join(X_224,converse(composition(top,complement(converse(X_224)))))
| join(X_224,converse(composition(top,complement(converse(X_224))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_224,converse(composition(top,complement(converse(X_224)))))))]]) ).
cnf(refute_0_3268,plain,
join(X_224,converse(composition(top,complement(converse(X_224))))) = top,
inference(resolve,[$cnf( $equal(top,join(X_224,converse(composition(top,complement(converse(X_224)))))) )],[refute_0_3266,refute_0_3267]) ).
cnf(refute_0_3269,plain,
( composition(join(X_224,converse(composition(top,complement(converse(X_224))))),complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) != composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))
| join(X_224,converse(composition(top,complement(converse(X_224))))) != top
| composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_224,converse(composition(top,complement(converse(X_224))))),complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3270,plain,
( composition(join(X_224,converse(composition(top,complement(converse(X_224))))),complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) != composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))
| composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) ),
inference(resolve,[$cnf( $equal(join(X_224,converse(composition(top,complement(converse(X_224))))),top) )],[refute_0_3268,refute_0_3269]) ).
cnf(refute_0_3271,plain,
composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),
inference(resolve,[$cnf( $equal(composition(join(X_224,converse(composition(top,complement(converse(X_224))))),complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))) )],[refute_0_3246,refute_0_3270]) ).
cnf(refute_0_3272,plain,
composition(top,complement(composition(top,composition(complement(converse(X_224)),top)))) = complement(composition(top,composition(complement(converse(X_224)),top))),
inference(subst,[],[refute_0_2925:[bind(X_161,$fot(composition(complement(converse(X_224)),top)))]]) ).
cnf(refute_0_3273,plain,
composition(complement(converse(X_224)),converse(top)) = composition(complement(converse(X_224)),converse(top)),
introduced(tautology,[refl,[$fot(composition(complement(converse(X_224)),converse(top)))]]) ).
cnf(refute_0_3274,plain,
( composition(complement(converse(X_224)),converse(top)) != composition(complement(converse(X_224)),converse(top))
| converse(top) != top
| composition(complement(converse(X_224)),converse(top)) = composition(complement(converse(X_224)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(X_224)),converse(top)),composition(complement(converse(X_224)),converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3275,plain,
( converse(top) != top
| composition(complement(converse(X_224)),converse(top)) = composition(complement(converse(X_224)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(X_224)),converse(top)),composition(complement(converse(X_224)),converse(top))) )],[refute_0_3273,refute_0_3274]) ).
cnf(refute_0_3276,plain,
composition(complement(converse(X_224)),converse(top)) = composition(complement(converse(X_224)),top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_3275]) ).
cnf(refute_0_3277,plain,
composition(top,composition(complement(converse(X_224)),converse(top))) = composition(top,composition(complement(converse(X_224)),converse(top))),
introduced(tautology,[refl,[$fot(composition(top,composition(complement(converse(X_224)),converse(top))))]]) ).
cnf(refute_0_3278,plain,
( composition(complement(converse(X_224)),converse(top)) != composition(complement(converse(X_224)),top)
| composition(top,composition(complement(converse(X_224)),converse(top))) != composition(top,composition(complement(converse(X_224)),converse(top)))
| composition(top,composition(complement(converse(X_224)),converse(top))) = composition(top,composition(complement(converse(X_224)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(converse(X_224)),converse(top))),composition(top,composition(complement(converse(X_224)),converse(top)))) ),[1,1],$fot(composition(complement(converse(X_224)),top))]]) ).
cnf(refute_0_3279,plain,
( composition(complement(converse(X_224)),converse(top)) != composition(complement(converse(X_224)),top)
| composition(top,composition(complement(converse(X_224)),converse(top))) = composition(top,composition(complement(converse(X_224)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(X_224)),converse(top))),composition(top,composition(complement(converse(X_224)),converse(top)))) )],[refute_0_3277,refute_0_3278]) ).
cnf(refute_0_3280,plain,
composition(top,composition(complement(converse(X_224)),converse(top))) = composition(top,composition(complement(converse(X_224)),top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(X_224)),converse(top)),composition(complement(converse(X_224)),top)) )],[refute_0_3276,refute_0_3279]) ).
cnf(refute_0_3281,plain,
composition(composition(top,complement(converse(X_224))),converse(top)) = composition(top,composition(complement(converse(X_224)),converse(top))),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(complement(converse(X_224)))),bind(C,$fot(converse(top)))]]) ).
cnf(refute_0_3282,plain,
converse(composition(top,converse(composition(top,complement(converse(X_224)))))) = composition(composition(top,complement(converse(X_224))),converse(top)),
inference(subst,[],[refute_0_104:[bind(A,$fot(composition(top,complement(converse(X_224))))),bind(X_34,$fot(top))]]) ).
cnf(refute_0_3283,plain,
( composition(composition(top,complement(converse(X_224))),converse(top)) != composition(top,composition(complement(converse(X_224)),converse(top)))
| converse(composition(top,converse(composition(top,complement(converse(X_224)))))) != composition(composition(top,complement(converse(X_224))),converse(top))
| converse(composition(top,converse(composition(top,complement(converse(X_224)))))) = composition(top,composition(complement(converse(X_224)),converse(top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),bind(Y,$fot(composition(composition(top,complement(converse(X_224))),converse(top)))),bind(Z,$fot(composition(top,composition(complement(converse(X_224)),converse(top)))))]]) ).
cnf(refute_0_3284,plain,
( composition(composition(top,complement(converse(X_224))),converse(top)) != composition(top,composition(complement(converse(X_224)),converse(top)))
| converse(composition(top,converse(composition(top,complement(converse(X_224)))))) = composition(top,composition(complement(converse(X_224)),converse(top))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(composition(top,complement(converse(X_224)))))),composition(composition(top,complement(converse(X_224))),converse(top))) )],[refute_0_3282,refute_0_3283]) ).
cnf(refute_0_3285,plain,
converse(composition(top,converse(composition(top,complement(converse(X_224)))))) = composition(top,composition(complement(converse(X_224)),converse(top))),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(converse(X_224))),converse(top)),composition(top,composition(complement(converse(X_224)),converse(top)))) )],[refute_0_3281,refute_0_3284]) ).
cnf(refute_0_3286,plain,
( composition(top,composition(complement(converse(X_224)),converse(top))) != composition(top,composition(complement(converse(X_224)),top))
| converse(composition(top,converse(composition(top,complement(converse(X_224)))))) != composition(top,composition(complement(converse(X_224)),converse(top)))
| converse(composition(top,converse(composition(top,complement(converse(X_224)))))) = composition(top,composition(complement(converse(X_224)),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),bind(Y,$fot(composition(top,composition(complement(converse(X_224)),converse(top))))),bind(Z,$fot(composition(top,composition(complement(converse(X_224)),top))))]]) ).
cnf(refute_0_3287,plain,
( composition(top,composition(complement(converse(X_224)),converse(top))) != composition(top,composition(complement(converse(X_224)),top))
| converse(composition(top,converse(composition(top,complement(converse(X_224)))))) = composition(top,composition(complement(converse(X_224)),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(composition(top,complement(converse(X_224)))))),composition(top,composition(complement(converse(X_224)),converse(top)))) )],[refute_0_3285,refute_0_3286]) ).
cnf(refute_0_3288,plain,
converse(composition(top,converse(composition(top,complement(converse(X_224)))))) = composition(top,composition(complement(converse(X_224)),top)),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(X_224)),converse(top))),composition(top,composition(complement(converse(X_224)),top))) )],[refute_0_3280,refute_0_3287]) ).
cnf(refute_0_3289,plain,
complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))) = complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))]]) ).
cnf(refute_0_3290,plain,
( complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))) != complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))
| converse(composition(top,converse(composition(top,complement(converse(X_224)))))) != composition(top,composition(complement(converse(X_224)),top))
| complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))) = complement(composition(top,composition(complement(converse(X_224)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))),complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) ),[1,0],$fot(composition(top,composition(complement(converse(X_224)),top)))]]) ).
cnf(refute_0_3291,plain,
( converse(composition(top,converse(composition(top,complement(converse(X_224)))))) != composition(top,composition(complement(converse(X_224)),top))
| complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))) = complement(composition(top,composition(complement(converse(X_224)),top))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))),complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) )],[refute_0_3289,refute_0_3290]) ).
cnf(refute_0_3292,plain,
complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))) = complement(composition(top,composition(complement(converse(X_224)),top))),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(composition(top,complement(converse(X_224)))))),composition(top,composition(complement(converse(X_224)),top))) )],[refute_0_3288,refute_0_3291]) ).
cnf(refute_0_3293,plain,
composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),
introduced(tautology,[refl,[$fot(composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))))]]) ).
cnf(refute_0_3294,plain,
( complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))) != complement(composition(top,composition(complement(converse(X_224)),top)))
| composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) != composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))
| composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = composition(top,complement(composition(top,composition(complement(converse(X_224)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))) ),[1,1],$fot(complement(composition(top,composition(complement(converse(X_224)),top))))]]) ).
cnf(refute_0_3295,plain,
( complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))) != complement(composition(top,composition(complement(converse(X_224)),top)))
| composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = composition(top,complement(composition(top,composition(complement(converse(X_224)),top)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))) )],[refute_0_3293,refute_0_3294]) ).
cnf(refute_0_3296,plain,
composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = composition(top,complement(composition(top,composition(complement(converse(X_224)),top)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))),complement(composition(top,composition(complement(converse(X_224)),top)))) )],[refute_0_3292,refute_0_3295]) ).
cnf(refute_0_3297,plain,
( composition(top,complement(composition(top,composition(complement(converse(X_224)),top)))) != complement(composition(top,composition(complement(converse(X_224)),top)))
| composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) != composition(top,complement(composition(top,composition(complement(converse(X_224)),top))))
| composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = complement(composition(top,composition(complement(converse(X_224)),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))))),bind(Y,$fot(composition(top,complement(composition(top,composition(complement(converse(X_224)),top)))))),bind(Z,$fot(complement(composition(top,composition(complement(converse(X_224)),top)))))]]) ).
cnf(refute_0_3298,plain,
( composition(top,complement(composition(top,composition(complement(converse(X_224)),top)))) != complement(composition(top,composition(complement(converse(X_224)),top)))
| composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = complement(composition(top,composition(complement(converse(X_224)),top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),composition(top,complement(composition(top,composition(complement(converse(X_224)),top))))) )],[refute_0_3296,refute_0_3297]) ).
cnf(refute_0_3299,plain,
composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = complement(composition(top,composition(complement(converse(X_224)),top))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(complement(converse(X_224)),top)))),complement(composition(top,composition(complement(converse(X_224)),top)))) )],[refute_0_3272,refute_0_3298]) ).
cnf(refute_0_3300,plain,
( composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) != complement(composition(top,composition(complement(converse(X_224)),top)))
| composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) != composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))
| complement(composition(top,composition(complement(converse(X_224)),top))) = composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))) ),[0],$fot(complement(composition(top,composition(complement(converse(X_224)),top))))]]) ).
cnf(refute_0_3301,plain,
( composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) != composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))
| complement(composition(top,composition(complement(converse(X_224)),top))) = composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),complement(composition(top,composition(complement(converse(X_224)),top)))) )],[refute_0_3299,refute_0_3300]) ).
cnf(refute_0_3302,plain,
composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),
introduced(tautology,[refl,[$fot(composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))))]]) ).
cnf(refute_0_3303,plain,
( complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))) != complement(composition(top,composition(complement(converse(X_224)),top)))
| composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) != composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))
| composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))) ),[1,1],$fot(complement(composition(top,composition(complement(converse(X_224)),top))))]]) ).
cnf(refute_0_3304,plain,
( complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))) != complement(composition(top,composition(complement(converse(X_224)),top)))
| composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) ),
inference(resolve,[$cnf( $equal(composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))) )],[refute_0_3302,refute_0_3303]) ).
cnf(refute_0_3305,plain,
composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) = composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))),complement(composition(top,composition(complement(converse(X_224)),top)))) )],[refute_0_3292,refute_0_3304]) ).
cnf(refute_0_3306,plain,
( complement(composition(top,composition(complement(converse(X_224)),top))) != composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))
| composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) != composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))
| complement(composition(top,composition(complement(converse(X_224)),top))) = composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,composition(complement(converse(X_224)),top))),composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))) ),[0],$fot(composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))))]]) ).
cnf(refute_0_3307,plain,
( complement(composition(top,composition(complement(converse(X_224)),top))) != composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))
| complement(composition(top,composition(complement(converse(X_224)),top))) = composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) ),
inference(resolve,[$cnf( $equal(composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))) )],[refute_0_3305,refute_0_3306]) ).
cnf(refute_0_3308,plain,
( composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))) != composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))
| complement(composition(top,composition(complement(converse(X_224)),top))) = composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(complement(converse(X_224)),top))),composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))) )],[refute_0_3301,refute_0_3307]) ).
cnf(refute_0_3309,plain,
complement(composition(top,composition(complement(converse(X_224)),top))) = composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,converse(composition(top,complement(converse(X_224)))))))),composition(X_224,complement(converse(composition(top,converse(composition(top,complement(converse(X_224))))))))) )],[refute_0_3271,refute_0_3308]) ).
cnf(refute_0_3310,plain,
composition(composition(top,complement(X_224)),top) = composition(top,composition(complement(X_224),top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(complement(X_224))),bind(C,$fot(top))]]) ).
cnf(refute_0_3311,plain,
converse(composition(composition(top,complement(X_224)),top)) = converse(composition(composition(top,complement(X_224)),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,complement(X_224)),top)))]]) ).
cnf(refute_0_3312,plain,
( composition(composition(top,complement(X_224)),top) != composition(top,composition(complement(X_224),top))
| converse(composition(composition(top,complement(X_224)),top)) != converse(composition(composition(top,complement(X_224)),top))
| converse(composition(composition(top,complement(X_224)),top)) = converse(composition(top,composition(complement(X_224),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(X_224)),top)),converse(composition(composition(top,complement(X_224)),top))) ),[1,0],$fot(composition(top,composition(complement(X_224),top)))]]) ).
cnf(refute_0_3313,plain,
( composition(composition(top,complement(X_224)),top) != composition(top,composition(complement(X_224),top))
| converse(composition(composition(top,complement(X_224)),top)) = converse(composition(top,composition(complement(X_224),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(X_224)),top)),converse(composition(composition(top,complement(X_224)),top))) )],[refute_0_3311,refute_0_3312]) ).
cnf(refute_0_3314,plain,
converse(composition(composition(top,complement(X_224)),top)) = converse(composition(top,composition(complement(X_224),top))),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(X_224)),top),composition(top,composition(complement(X_224),top))) )],[refute_0_3310,refute_0_3313]) ).
cnf(refute_0_3315,plain,
composition(top,converse(composition(top,complement(X_224)))) = converse(composition(composition(top,complement(X_224)),top)),
inference(subst,[],[refute_0_2172:[bind(A,$fot(composition(top,complement(X_224))))]]) ).
cnf(refute_0_3316,plain,
( composition(top,converse(composition(top,complement(X_224)))) != converse(composition(composition(top,complement(X_224)),top))
| converse(composition(composition(top,complement(X_224)),top)) != converse(composition(top,composition(complement(X_224),top)))
| composition(top,converse(composition(top,complement(X_224)))) = converse(composition(top,composition(complement(X_224),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,converse(composition(top,complement(X_224)))))),bind(Y,$fot(converse(composition(composition(top,complement(X_224)),top)))),bind(Z,$fot(converse(composition(top,composition(complement(X_224),top)))))]]) ).
cnf(refute_0_3317,plain,
( converse(composition(composition(top,complement(X_224)),top)) != converse(composition(top,composition(complement(X_224),top)))
| composition(top,converse(composition(top,complement(X_224)))) = converse(composition(top,composition(complement(X_224),top))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(X_224)))),converse(composition(composition(top,complement(X_224)),top))) )],[refute_0_3315,refute_0_3316]) ).
cnf(refute_0_3318,plain,
composition(top,converse(composition(top,complement(X_224)))) = converse(composition(top,composition(complement(X_224),top))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(X_224)),top)),converse(composition(top,composition(complement(X_224),top)))) )],[refute_0_3314,refute_0_3317]) ).
cnf(refute_0_3319,plain,
composition(complement(converse(X_224)),top) = converse(composition(top,complement(X_224))),
inference(subst,[],[refute_0_3187:[bind(X_324,$fot(X_224))]]) ).
cnf(refute_0_3320,plain,
composition(top,composition(complement(converse(X_224)),top)) = composition(top,composition(complement(converse(X_224)),top)),
introduced(tautology,[refl,[$fot(composition(top,composition(complement(converse(X_224)),top)))]]) ).
cnf(refute_0_3321,plain,
( composition(complement(converse(X_224)),top) != converse(composition(top,complement(X_224)))
| composition(top,composition(complement(converse(X_224)),top)) != composition(top,composition(complement(converse(X_224)),top))
| composition(top,composition(complement(converse(X_224)),top)) = composition(top,converse(composition(top,complement(X_224)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(converse(X_224)),top)),composition(top,composition(complement(converse(X_224)),top))) ),[1,1],$fot(converse(composition(top,complement(X_224))))]]) ).
cnf(refute_0_3322,plain,
( composition(complement(converse(X_224)),top) != converse(composition(top,complement(X_224)))
| composition(top,composition(complement(converse(X_224)),top)) = composition(top,converse(composition(top,complement(X_224)))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(X_224)),top)),composition(top,composition(complement(converse(X_224)),top))) )],[refute_0_3320,refute_0_3321]) ).
cnf(refute_0_3323,plain,
composition(top,composition(complement(converse(X_224)),top)) = composition(top,converse(composition(top,complement(X_224)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(X_224)),top),converse(composition(top,complement(X_224)))) )],[refute_0_3319,refute_0_3322]) ).
cnf(refute_0_3324,plain,
( composition(top,composition(complement(converse(X_224)),top)) != composition(top,converse(composition(top,complement(X_224))))
| composition(top,converse(composition(top,complement(X_224)))) != converse(composition(top,composition(complement(X_224),top)))
| composition(top,composition(complement(converse(X_224)),top)) = converse(composition(top,composition(complement(X_224),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,composition(complement(converse(X_224)),top)))),bind(Y,$fot(composition(top,converse(composition(top,complement(X_224)))))),bind(Z,$fot(converse(composition(top,composition(complement(X_224),top)))))]]) ).
cnf(refute_0_3325,plain,
( composition(top,converse(composition(top,complement(X_224)))) != converse(composition(top,composition(complement(X_224),top)))
| composition(top,composition(complement(converse(X_224)),top)) = converse(composition(top,composition(complement(X_224),top))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(X_224)),top)),composition(top,converse(composition(top,complement(X_224))))) )],[refute_0_3323,refute_0_3324]) ).
cnf(refute_0_3326,plain,
composition(top,composition(complement(converse(X_224)),top)) = converse(composition(top,composition(complement(X_224),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(X_224)))),converse(composition(top,composition(complement(X_224),top)))) )],[refute_0_3318,refute_0_3325]) ).
cnf(refute_0_3327,plain,
complement(composition(top,composition(complement(converse(X_224)),top))) = complement(composition(top,composition(complement(converse(X_224)),top))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(complement(converse(X_224)),top))))]]) ).
cnf(refute_0_3328,plain,
( complement(composition(top,composition(complement(converse(X_224)),top))) != complement(composition(top,composition(complement(converse(X_224)),top)))
| composition(top,composition(complement(converse(X_224)),top)) != converse(composition(top,composition(complement(X_224),top)))
| complement(composition(top,composition(complement(converse(X_224)),top))) = complement(converse(composition(top,composition(complement(X_224),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(complement(converse(X_224)),top))),complement(composition(top,composition(complement(converse(X_224)),top)))) ),[1,0],$fot(converse(composition(top,composition(complement(X_224),top))))]]) ).
cnf(refute_0_3329,plain,
( composition(top,composition(complement(converse(X_224)),top)) != converse(composition(top,composition(complement(X_224),top)))
| complement(composition(top,composition(complement(converse(X_224)),top))) = complement(converse(composition(top,composition(complement(X_224),top)))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(complement(converse(X_224)),top))),complement(composition(top,composition(complement(converse(X_224)),top)))) )],[refute_0_3327,refute_0_3328]) ).
cnf(refute_0_3330,plain,
complement(composition(top,composition(complement(converse(X_224)),top))) = complement(converse(composition(top,composition(complement(X_224),top)))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(X_224)),top)),converse(composition(top,composition(complement(X_224),top)))) )],[refute_0_3326,refute_0_3329]) ).
cnf(refute_0_3331,plain,
( complement(composition(top,composition(complement(converse(X_224)),top))) != complement(converse(composition(top,composition(complement(X_224),top))))
| complement(composition(top,composition(complement(converse(X_224)),top))) != composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))
| complement(converse(composition(top,composition(complement(X_224),top)))) = composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(complement(converse(X_224)),top))),composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))) ),[0],$fot(complement(converse(composition(top,composition(complement(X_224),top)))))]]) ).
cnf(refute_0_3332,plain,
( complement(composition(top,composition(complement(converse(X_224)),top))) != composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))
| complement(converse(composition(top,composition(complement(X_224),top)))) = composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(complement(converse(X_224)),top))),complement(converse(composition(top,composition(complement(X_224),top))))) )],[refute_0_3330,refute_0_3331]) ).
cnf(refute_0_3333,plain,
composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) = composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))),
introduced(tautology,[refl,[$fot(composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))))]]) ).
cnf(refute_0_3334,plain,
( complement(composition(top,composition(complement(converse(X_224)),top))) != complement(converse(composition(top,composition(complement(X_224),top))))
| composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) != composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))
| composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) = composition(X_224,complement(converse(composition(top,composition(complement(X_224),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))),composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))) ),[1,1],$fot(complement(converse(composition(top,composition(complement(X_224),top)))))]]) ).
cnf(refute_0_3335,plain,
( complement(composition(top,composition(complement(converse(X_224)),top))) != complement(converse(composition(top,composition(complement(X_224),top))))
| composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) = composition(X_224,complement(converse(composition(top,composition(complement(X_224),top))))) ),
inference(resolve,[$cnf( $equal(composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))),composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))) )],[refute_0_3333,refute_0_3334]) ).
cnf(refute_0_3336,plain,
composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) = composition(X_224,complement(converse(composition(top,composition(complement(X_224),top))))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(complement(converse(X_224)),top))),complement(converse(composition(top,composition(complement(X_224),top))))) )],[refute_0_3330,refute_0_3335]) ).
cnf(refute_0_3337,plain,
( complement(converse(composition(top,composition(complement(X_224),top)))) != composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))
| composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))) != composition(X_224,complement(converse(composition(top,composition(complement(X_224),top)))))
| complement(converse(composition(top,composition(complement(X_224),top)))) = composition(X_224,complement(converse(composition(top,composition(complement(X_224),top))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(composition(top,composition(complement(X_224),top)))),composition(X_224,complement(converse(composition(top,composition(complement(X_224),top)))))) ),[0],$fot(composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))))]]) ).
cnf(refute_0_3338,plain,
( complement(converse(composition(top,composition(complement(X_224),top)))) != composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))
| complement(converse(composition(top,composition(complement(X_224),top)))) = composition(X_224,complement(converse(composition(top,composition(complement(X_224),top))))) ),
inference(resolve,[$cnf( $equal(composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top)))),composition(X_224,complement(converse(composition(top,composition(complement(X_224),top)))))) )],[refute_0_3336,refute_0_3337]) ).
cnf(refute_0_3339,plain,
( complement(composition(top,composition(complement(converse(X_224)),top))) != composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))
| complement(converse(composition(top,composition(complement(X_224),top)))) = composition(X_224,complement(converse(composition(top,composition(complement(X_224),top))))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(complement(X_224),top)))),composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))) )],[refute_0_3332,refute_0_3338]) ).
cnf(refute_0_3340,plain,
complement(converse(composition(top,composition(complement(X_224),top)))) = composition(X_224,complement(converse(composition(top,composition(complement(X_224),top))))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(complement(converse(X_224)),top))),composition(X_224,complement(composition(top,composition(complement(converse(X_224)),top))))) )],[refute_0_3309,refute_0_3339]) ).
cnf(refute_0_3341,plain,
( complement(converse(composition(top,composition(complement(X_224),top)))) != composition(X_224,complement(converse(composition(top,composition(complement(X_224),top)))))
| composition(X_224,complement(converse(composition(top,composition(complement(X_224),top))))) = complement(converse(composition(top,composition(complement(X_224),top)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(composition(top,composition(complement(X_224),top)))))),bind(Y,$fot(composition(X_224,complement(converse(composition(top,composition(complement(X_224),top)))))))]]) ).
cnf(refute_0_3342,plain,
composition(X_224,complement(converse(composition(top,composition(complement(X_224),top))))) = complement(converse(composition(top,composition(complement(X_224),top)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(complement(X_224),top)))),composition(X_224,complement(converse(composition(top,composition(complement(X_224),top)))))) )],[refute_0_3340,refute_0_3341]) ).
cnf(refute_0_3343,plain,
composition(X_147,complement(converse(composition(top,composition(complement(X_147),top))))) = complement(converse(composition(top,composition(complement(X_147),top)))),
inference(subst,[],[refute_0_3342:[bind(X_224,$fot(X_147))]]) ).
cnf(refute_0_3344,plain,
( composition(X_147,complement(converse(composition(top,composition(complement(X_147),top))))) != complement(converse(composition(top,composition(complement(X_147),top))))
| composition(top,complement(converse(composition(top,composition(complement(X_147),top))))) != composition(X_147,complement(converse(composition(top,composition(complement(X_147),top)))))
| composition(top,complement(converse(composition(top,composition(complement(X_147),top))))) = complement(converse(composition(top,composition(complement(X_147),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(complement(X_147),top))))),composition(X_147,complement(converse(composition(top,composition(complement(X_147),top)))))) ),[1],$fot(complement(converse(composition(top,composition(complement(X_147),top)))))]]) ).
cnf(refute_0_3345,plain,
( composition(top,complement(converse(composition(top,composition(complement(X_147),top))))) != composition(X_147,complement(converse(composition(top,composition(complement(X_147),top)))))
| composition(top,complement(converse(composition(top,composition(complement(X_147),top))))) = complement(converse(composition(top,composition(complement(X_147),top)))) ),
inference(resolve,[$cnf( $equal(composition(X_147,complement(converse(composition(top,composition(complement(X_147),top))))),complement(converse(composition(top,composition(complement(X_147),top))))) )],[refute_0_3343,refute_0_3344]) ).
cnf(refute_0_3346,plain,
composition(top,complement(converse(composition(top,composition(complement(X_147),top))))) = complement(converse(composition(top,composition(complement(X_147),top)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(complement(X_147),top))))),composition(X_147,complement(converse(composition(top,composition(complement(X_147),top)))))) )],[refute_0_3245,refute_0_3345]) ).
cnf(refute_0_3347,plain,
converse(composition(complement(X_183),top)) = composition(top,converse(complement(X_183))),
inference(subst,[],[refute_0_2170:[bind(A,$fot(complement(X_183)))]]) ).
cnf(refute_0_3348,plain,
( converse(complement(X_183)) != complement(converse(X_183))
| converse(composition(complement(X_183),top)) != composition(top,converse(complement(X_183)))
| converse(composition(complement(X_183),top)) = composition(top,complement(converse(X_183))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(X_183),top)),composition(top,converse(complement(X_183)))) ),[1,1],$fot(complement(converse(X_183)))]]) ).
cnf(refute_0_3349,plain,
( converse(composition(complement(X_183),top)) != composition(top,converse(complement(X_183)))
| converse(composition(complement(X_183),top)) = composition(top,complement(converse(X_183))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_183)),complement(converse(X_183))) )],[refute_0_2565,refute_0_3348]) ).
cnf(refute_0_3350,plain,
converse(composition(complement(X_183),top)) = composition(top,complement(converse(X_183))),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_183),top)),composition(top,converse(complement(X_183)))) )],[refute_0_3347,refute_0_3349]) ).
cnf(refute_0_3351,plain,
( converse(composition(complement(X_183),top)) != composition(top,complement(converse(X_183)))
| composition(top,complement(converse(X_183))) = converse(composition(complement(X_183),top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(complement(X_183),top)))),bind(Y,$fot(composition(top,complement(converse(X_183)))))]]) ).
cnf(refute_0_3352,plain,
composition(top,complement(converse(X_183))) = converse(composition(complement(X_183),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_183),top)),composition(top,complement(converse(X_183)))) )],[refute_0_3350,refute_0_3351]) ).
cnf(refute_0_3353,plain,
composition(top,complement(converse(composition(top,composition(complement(X_147),top))))) = converse(composition(complement(composition(top,composition(complement(X_147),top))),top)),
inference(subst,[],[refute_0_3352:[bind(X_183,$fot(composition(top,composition(complement(X_147),top))))]]) ).
cnf(refute_0_3354,plain,
( composition(top,complement(converse(composition(top,composition(complement(X_147),top))))) != complement(converse(composition(top,composition(complement(X_147),top))))
| composition(top,complement(converse(composition(top,composition(complement(X_147),top))))) != converse(composition(complement(composition(top,composition(complement(X_147),top))),top))
| converse(composition(complement(composition(top,composition(complement(X_147),top))),top)) = complement(converse(composition(top,composition(complement(X_147),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(complement(X_147),top))))),complement(converse(composition(top,composition(complement(X_147),top))))) ),[0],$fot(converse(composition(complement(composition(top,composition(complement(X_147),top))),top)))]]) ).
cnf(refute_0_3355,plain,
( composition(top,complement(converse(composition(top,composition(complement(X_147),top))))) != complement(converse(composition(top,composition(complement(X_147),top))))
| converse(composition(complement(composition(top,composition(complement(X_147),top))),top)) = complement(converse(composition(top,composition(complement(X_147),top)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(complement(X_147),top))))),converse(composition(complement(composition(top,composition(complement(X_147),top))),top))) )],[refute_0_3353,refute_0_3354]) ).
cnf(refute_0_3356,plain,
converse(composition(complement(composition(top,composition(complement(X_147),top))),top)) = complement(converse(composition(top,composition(complement(X_147),top)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(complement(X_147),top))))),complement(converse(composition(top,composition(complement(X_147),top))))) )],[refute_0_3346,refute_0_3355]) ).
cnf(refute_0_3357,plain,
converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)) = complement(converse(composition(top,composition(complement(converse(A)),top)))),
inference(subst,[],[refute_0_3356:[bind(X_147,$fot(converse(A)))]]) ).
cnf(refute_0_3358,plain,
( complement(converse(composition(top,composition(complement(converse(A)),top)))) != complement(composition(top,composition(complement(A),top)))
| converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)) != complement(converse(composition(top,composition(complement(converse(A)),top))))
| converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)) = complement(composition(top,composition(complement(A),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))),bind(Y,$fot(complement(converse(composition(top,composition(complement(converse(A)),top)))))),bind(Z,$fot(complement(composition(top,composition(complement(A),top)))))]]) ).
cnf(refute_0_3359,plain,
( complement(converse(composition(top,composition(complement(converse(A)),top)))) != complement(composition(top,composition(complement(A),top)))
| converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)) = complement(composition(top,composition(complement(A),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)),complement(converse(composition(top,composition(complement(converse(A)),top))))) )],[refute_0_3357,refute_0_3358]) ).
cnf(refute_0_3360,plain,
converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)) = complement(composition(top,composition(complement(A),top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(complement(converse(A)),top)))),complement(composition(top,composition(complement(A),top)))) )],[refute_0_3206,refute_0_3359]) ).
cnf(refute_0_3361,plain,
join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))) = join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))),
introduced(tautology,[refl,[$fot(join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))))]]) ).
cnf(refute_0_3362,plain,
( converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)) != complement(composition(top,composition(complement(A),top)))
| join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))) != join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))
| join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))) = join(A,complement(composition(top,composition(complement(A),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))),join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))) ),[1,1],$fot(complement(composition(top,composition(complement(A),top))))]]) ).
cnf(refute_0_3363,plain,
( converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)) != complement(composition(top,composition(complement(A),top)))
| join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))) = join(A,complement(composition(top,composition(complement(A),top)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))),join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))) )],[refute_0_3361,refute_0_3362]) ).
cnf(refute_0_3364,plain,
join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))) = join(A,complement(composition(top,composition(complement(A),top)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)),complement(composition(top,composition(complement(A),top)))) )],[refute_0_3360,refute_0_3363]) ).
cnf(refute_0_3365,plain,
( A != join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))
| join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))) != join(A,complement(composition(top,composition(complement(A),top))))
| A = join(A,complement(composition(top,composition(complement(A),top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,join(A,complement(composition(top,composition(complement(A),top))))) ),[0],$fot(join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))))]]) ).
cnf(refute_0_3366,plain,
( A != join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))
| A = join(A,complement(composition(top,composition(complement(A),top)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top))),join(A,complement(composition(top,composition(complement(A),top))))) )],[refute_0_3364,refute_0_3365]) ).
cnf(refute_0_3367,plain,
( converse(converse(A)) != join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))
| A = join(A,complement(composition(top,composition(complement(A),top)))) ),
inference(resolve,[$cnf( $equal(A,join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))) )],[refute_0_3170,refute_0_3366]) ).
cnf(refute_0_3368,plain,
A = join(A,complement(composition(top,composition(complement(A),top)))),
inference(resolve,[$cnf( $equal(converse(converse(A)),join(A,converse(composition(complement(composition(top,composition(complement(converse(A)),top))),top)))) )],[refute_0_3168,refute_0_3367]) ).
cnf(refute_0_3369,plain,
meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),top)))),
inference(subst,[],[refute_0_3368:[bind(A,$fot(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))))]]) ).
cnf(refute_0_3370,plain,
( complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != complement(X_1924)
| meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),top))))
| meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),top))))) ),[1,1,0,1,0],$fot(complement(X_1924))]]) ).
cnf(refute_0_3371,plain,
( meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),top))))
| meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top)))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),complement(X_1924)) )],[refute_0_2980,refute_0_3370]) ).
cnf(refute_0_3372,plain,
meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top)))),
inference(resolve,[$cnf( $equal(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),top))))) )],[refute_0_3369,refute_0_3371]) ).
cnf(refute_0_3373,plain,
( A != join(A,complement(composition(top,composition(complement(A),top))))
| join(A,complement(composition(top,composition(complement(A),top)))) = A ),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(join(A,complement(composition(top,composition(complement(A),top))))))]]) ).
cnf(refute_0_3374,plain,
join(A,complement(composition(top,composition(complement(A),top)))) = A,
inference(resolve,[$cnf( $equal(A,join(A,complement(composition(top,composition(complement(A),top))))) )],[refute_0_3368,refute_0_3373]) ).
cnf(refute_0_3375,plain,
join(X_1924,complement(composition(top,composition(complement(X_1924),top)))) = X_1924,
inference(subst,[],[refute_0_3374:[bind(A,$fot(X_1924))]]) ).
cnf(refute_0_3376,plain,
join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),X_95),X_121)) = join(X_95,X_121),
inference(subst,[],[refute_0_2990:[bind(X_94,$fot(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))]]) ).
cnf(refute_0_3377,plain,
join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))) = complement(converse(join(B,A))),
inference(subst,[],[refute_0_1352:[bind(X_34,$fot(join(B,A))),bind(X_35,$fot(X_106))]]) ).
cnf(refute_0_3378,plain,
( converse(join(B,A)) != converse(join(A,B))
| join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))) != complement(converse(join(B,A)))
| join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))) = complement(converse(join(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))),complement(converse(join(B,A)))) ),[1,0],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_3379,plain,
( join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))) != complement(converse(join(B,A)))
| join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))) = complement(converse(join(A,B))) ),
inference(resolve,[$cnf( $equal(converse(join(B,A)),converse(join(A,B))) )],[refute_0_2084,refute_0_3378]) ).
cnf(refute_0_3380,plain,
join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))) = complement(converse(join(A,B))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))),complement(converse(join(B,A)))) )],[refute_0_3377,refute_0_3379]) ).
cnf(refute_0_3381,plain,
( join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))) != complement(converse(join(A,B)))
| join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))) != complement(converse(join(B,A)))
| complement(converse(join(B,A))) = complement(converse(join(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))),complement(converse(join(A,B)))) ),[0],$fot(complement(converse(join(B,A))))]]) ).
cnf(refute_0_3382,plain,
( join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))) != complement(converse(join(A,B)))
| complement(converse(join(B,A))) = complement(converse(join(A,B))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))),complement(converse(join(B,A)))) )],[refute_0_3377,refute_0_3381]) ).
cnf(refute_0_3383,plain,
complement(converse(join(B,A))) = complement(converse(join(A,B))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(B,A))),composition(X_106,complement(converse(composition(join(B,A),X_106))))),complement(converse(join(A,B)))) )],[refute_0_3380,refute_0_3382]) ).
cnf(refute_0_3384,plain,
complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) = complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),
inference(subst,[],[refute_0_3383:[bind(A,$fot(composition(top,complement(one)))),bind(B,$fot(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))]]) ).
cnf(refute_0_3385,plain,
join(A,join(composition(top,complement(A)),C)) = join(join(A,composition(top,complement(A))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(B,$fot(composition(top,complement(A))))]]) ).
cnf(refute_0_3386,plain,
join(A,composition(top,complement(A))) = top,
inference(subst,[],[refute_0_3258:[bind(X_119,$fot(A))]]) ).
cnf(refute_0_3387,plain,
( join(A,composition(top,complement(A))) != top
| join(A,join(composition(top,complement(A)),C)) != join(join(A,composition(top,complement(A))),C)
| join(A,join(composition(top,complement(A)),C)) = join(top,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(composition(top,complement(A)),C)),join(join(A,composition(top,complement(A))),C)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3388,plain,
( join(A,join(composition(top,complement(A)),C)) != join(join(A,composition(top,complement(A))),C)
| join(A,join(composition(top,complement(A)),C)) = join(top,C) ),
inference(resolve,[$cnf( $equal(join(A,composition(top,complement(A))),top) )],[refute_0_3386,refute_0_3387]) ).
cnf(refute_0_3389,plain,
join(A,join(composition(top,complement(A)),C)) = join(top,C),
inference(resolve,[$cnf( $equal(join(A,join(composition(top,complement(A)),C)),join(join(A,composition(top,complement(A))),C)) )],[refute_0_3385,refute_0_3388]) ).
cnf(refute_0_3390,plain,
join(top,C) = top,
inference(subst,[],[refute_0_1171:[bind(B,$fot(C))]]) ).
cnf(refute_0_3391,plain,
( join(A,join(composition(top,complement(A)),C)) != join(top,C)
| join(top,C) != top
| join(A,join(composition(top,complement(A)),C)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(composition(top,complement(A)),C)),top) ),[0],$fot(join(top,C))]]) ).
cnf(refute_0_3392,plain,
( join(A,join(composition(top,complement(A)),C)) != join(top,C)
| join(A,join(composition(top,complement(A)),C)) = top ),
inference(resolve,[$cnf( $equal(join(top,C),top) )],[refute_0_3390,refute_0_3391]) ).
cnf(refute_0_3393,plain,
join(A,join(composition(top,complement(A)),C)) = top,
inference(resolve,[$cnf( $equal(join(A,join(composition(top,complement(A)),C)),join(top,C)) )],[refute_0_3389,refute_0_3392]) ).
cnf(refute_0_3394,plain,
join(X_204,join(composition(top,complement(X_204)),X_205)) = top,
inference(subst,[],[refute_0_3393:[bind(A,$fot(X_204)),bind(C,$fot(X_205))]]) ).
cnf(refute_0_3395,plain,
join(X_205,composition(top,complement(X_204))) = join(composition(top,complement(X_204)),X_205),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_205)),bind(B,$fot(composition(top,complement(X_204))))]]) ).
cnf(refute_0_3396,plain,
( join(X_205,composition(top,complement(X_204))) != join(composition(top,complement(X_204)),X_205)
| join(composition(top,complement(X_204)),X_205) = join(X_205,composition(top,complement(X_204))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_205,composition(top,complement(X_204))))),bind(Y,$fot(join(composition(top,complement(X_204)),X_205)))]]) ).
cnf(refute_0_3397,plain,
join(composition(top,complement(X_204)),X_205) = join(X_205,composition(top,complement(X_204))),
inference(resolve,[$cnf( $equal(join(X_205,composition(top,complement(X_204))),join(composition(top,complement(X_204)),X_205)) )],[refute_0_3395,refute_0_3396]) ).
cnf(refute_0_3398,plain,
( join(X_204,join(composition(top,complement(X_204)),X_205)) != top
| join(composition(top,complement(X_204)),X_205) != join(X_205,composition(top,complement(X_204)))
| join(X_204,join(X_205,composition(top,complement(X_204)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_204,join(composition(top,complement(X_204)),X_205)),top) ),[0,1],$fot(join(X_205,composition(top,complement(X_204))))]]) ).
cnf(refute_0_3399,plain,
( join(X_204,join(composition(top,complement(X_204)),X_205)) != top
| join(X_204,join(X_205,composition(top,complement(X_204)))) = top ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(X_204)),X_205),join(X_205,composition(top,complement(X_204)))) )],[refute_0_3397,refute_0_3398]) ).
cnf(refute_0_3400,plain,
join(X_204,join(X_205,composition(top,complement(X_204)))) = top,
inference(resolve,[$cnf( $equal(join(X_204,join(composition(top,complement(X_204)),X_205)),top) )],[refute_0_3394,refute_0_3399]) ).
cnf(refute_0_3401,plain,
join(meet(X_1592,X_1591),join(meet(complement(X_1591),X_1592),composition(top,complement(meet(X_1592,X_1591))))) = top,
inference(subst,[],[refute_0_3400:[bind(X_204,$fot(meet(X_1592,X_1591))),bind(X_205,$fot(meet(complement(X_1591),X_1592)))]]) ).
cnf(refute_0_3402,plain,
join(meet(X_52,X_51),join(meet(complement(X_51),X_52),X_121)) = join(join(meet(X_52,X_51),meet(complement(X_51),X_52)),X_121),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(meet(X_52,X_51))),bind(B,$fot(meet(complement(X_51),X_52))),bind(C,$fot(X_121))]]) ).
cnf(refute_0_3403,plain,
( join(meet(X_52,X_51),join(meet(complement(X_51),X_52),X_121)) != join(join(meet(X_52,X_51),meet(complement(X_51),X_52)),X_121)
| join(meet(X_52,X_51),meet(complement(X_51),X_52)) != X_52
| join(meet(X_52,X_51),join(meet(complement(X_51),X_52),X_121)) = join(X_52,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_52,X_51),join(meet(complement(X_51),X_52),X_121)),join(join(meet(X_52,X_51),meet(complement(X_51),X_52)),X_121)) ),[1,0],$fot(X_52)]]) ).
cnf(refute_0_3404,plain,
( join(meet(X_52,X_51),join(meet(complement(X_51),X_52),X_121)) != join(join(meet(X_52,X_51),meet(complement(X_51),X_52)),X_121)
| join(meet(X_52,X_51),join(meet(complement(X_51),X_52),X_121)) = join(X_52,X_121) ),
inference(resolve,[$cnf( $equal(join(meet(X_52,X_51),meet(complement(X_51),X_52)),X_52) )],[refute_0_1863,refute_0_3403]) ).
cnf(refute_0_3405,plain,
join(meet(X_52,X_51),join(meet(complement(X_51),X_52),X_121)) = join(X_52,X_121),
inference(resolve,[$cnf( $equal(join(meet(X_52,X_51),join(meet(complement(X_51),X_52),X_121)),join(join(meet(X_52,X_51),meet(complement(X_51),X_52)),X_121)) )],[refute_0_3402,refute_0_3404]) ).
cnf(refute_0_3406,plain,
join(meet(X_1592,X_1591),join(meet(complement(X_1591),X_1592),composition(top,complement(meet(X_1592,X_1591))))) = join(X_1592,composition(top,complement(meet(X_1592,X_1591)))),
inference(subst,[],[refute_0_3405:[bind(X_121,$fot(composition(top,complement(meet(X_1592,X_1591))))),bind(X_51,$fot(X_1591)),bind(X_52,$fot(X_1592))]]) ).
cnf(refute_0_3407,plain,
( join(meet(X_1592,X_1591),join(meet(complement(X_1591),X_1592),composition(top,complement(meet(X_1592,X_1591))))) != join(X_1592,composition(top,complement(meet(X_1592,X_1591))))
| join(meet(X_1592,X_1591),join(meet(complement(X_1591),X_1592),composition(top,complement(meet(X_1592,X_1591))))) != top
| join(X_1592,composition(top,complement(meet(X_1592,X_1591)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1592,X_1591),join(meet(complement(X_1591),X_1592),composition(top,complement(meet(X_1592,X_1591))))),top) ),[0],$fot(join(X_1592,composition(top,complement(meet(X_1592,X_1591)))))]]) ).
cnf(refute_0_3408,plain,
( join(meet(X_1592,X_1591),join(meet(complement(X_1591),X_1592),composition(top,complement(meet(X_1592,X_1591))))) != top
| join(X_1592,composition(top,complement(meet(X_1592,X_1591)))) = top ),
inference(resolve,[$cnf( $equal(join(meet(X_1592,X_1591),join(meet(complement(X_1591),X_1592),composition(top,complement(meet(X_1592,X_1591))))),join(X_1592,composition(top,complement(meet(X_1592,X_1591))))) )],[refute_0_3406,refute_0_3407]) ).
cnf(refute_0_3409,plain,
join(X_1592,composition(top,complement(meet(X_1592,X_1591)))) = top,
inference(resolve,[$cnf( $equal(join(meet(X_1592,X_1591),join(meet(complement(X_1591),X_1592),composition(top,complement(meet(X_1592,X_1591))))),top) )],[refute_0_3401,refute_0_3408]) ).
cnf(refute_0_3410,plain,
join(converse(composition(top,X_974)),composition(top,complement(meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))))) = top,
inference(subst,[],[refute_0_3409:[bind(X_1591,$fot(composition(converse(X_974),X_974))),bind(X_1592,$fot(converse(composition(top,X_974))))]]) ).
cnf(refute_0_3411,plain,
( composition(converse(X_974),X_974) != meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))
| meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)) = composition(converse(X_974),X_974) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(converse(X_974),X_974))),bind(Y,$fot(meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))))]]) ).
cnf(refute_0_3412,plain,
meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)) = composition(converse(X_974),X_974),
inference(resolve,[$cnf( $equal(composition(converse(X_974),X_974),meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))) )],[refute_0_2618,refute_0_3411]) ).
cnf(refute_0_3413,plain,
( join(converse(composition(top,X_974)),composition(top,complement(meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))))) != top
| meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)) != composition(converse(X_974),X_974)
| join(converse(composition(top,X_974)),composition(top,complement(composition(converse(X_974),X_974)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,X_974)),composition(top,complement(meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))))),top) ),[0,1,1,0],$fot(composition(converse(X_974),X_974))]]) ).
cnf(refute_0_3414,plain,
( join(converse(composition(top,X_974)),composition(top,complement(meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))))) != top
| join(converse(composition(top,X_974)),composition(top,complement(composition(converse(X_974),X_974)))) = top ),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,X_974)),composition(converse(X_974),X_974)),composition(converse(X_974),X_974)) )],[refute_0_3412,refute_0_3413]) ).
cnf(refute_0_3415,plain,
join(converse(composition(top,X_974)),composition(top,complement(composition(converse(X_974),X_974)))) = top,
inference(resolve,[$cnf( $equal(join(converse(composition(top,X_974)),composition(top,complement(meet(converse(composition(top,X_974)),composition(converse(X_974),X_974))))),top) )],[refute_0_3410,refute_0_3414]) ).
cnf(refute_0_3416,plain,
join(converse(composition(top,composition(complement(one),complement(one)))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = top,
inference(subst,[],[refute_0_3415:[bind(X_974,$fot(composition(complement(one),complement(one))))]]) ).
cnf(refute_0_3417,plain,
composition(join(complement(X_213),composition(top,X_213)),complement(converse(composition(top,composition(top,X_213))))) = composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))),
inference(subst,[],[refute_0_3215:[bind(X_147,$fot(complement(X_213))),bind(X_148,$fot(composition(top,X_213)))]]) ).
cnf(refute_0_3418,plain,
join(complement(X_213),composition(top,complement(complement(X_213)))) = top,
inference(subst,[],[refute_0_3258:[bind(X_119,$fot(complement(X_213)))]]) ).
cnf(refute_0_3419,plain,
complement(complement(X_213)) = X_213,
inference(subst,[],[refute_0_931:[bind(X_25,$fot(X_213))]]) ).
cnf(refute_0_3420,plain,
( complement(complement(X_213)) != X_213
| join(complement(X_213),composition(top,complement(complement(X_213)))) != top
| join(complement(X_213),composition(top,X_213)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_213),composition(top,complement(complement(X_213)))),top) ),[0,1,1],$fot(X_213)]]) ).
cnf(refute_0_3421,plain,
( join(complement(X_213),composition(top,complement(complement(X_213)))) != top
| join(complement(X_213),composition(top,X_213)) = top ),
inference(resolve,[$cnf( $equal(complement(complement(X_213)),X_213) )],[refute_0_3419,refute_0_3420]) ).
cnf(refute_0_3422,plain,
join(complement(X_213),composition(top,X_213)) = top,
inference(resolve,[$cnf( $equal(join(complement(X_213),composition(top,complement(complement(X_213)))),top) )],[refute_0_3418,refute_0_3421]) ).
cnf(refute_0_3423,plain,
( composition(join(complement(X_213),composition(top,X_213)),complement(converse(composition(top,composition(top,X_213))))) != composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))
| join(complement(X_213),composition(top,X_213)) != top
| composition(top,complement(converse(composition(top,composition(top,X_213))))) = composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(X_213),composition(top,X_213)),complement(converse(composition(top,composition(top,X_213))))),composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3424,plain,
( composition(join(complement(X_213),composition(top,X_213)),complement(converse(composition(top,composition(top,X_213))))) != composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))
| composition(top,complement(converse(composition(top,composition(top,X_213))))) = composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_213),composition(top,X_213)),top) )],[refute_0_3422,refute_0_3423]) ).
cnf(refute_0_3425,plain,
composition(top,complement(converse(composition(top,composition(top,X_213))))) = composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))),
inference(resolve,[$cnf( $equal(composition(join(complement(X_213),composition(top,X_213)),complement(converse(composition(top,composition(top,X_213))))),composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))) )],[refute_0_3417,refute_0_3424]) ).
cnf(refute_0_3426,plain,
composition(top,composition(top,X_213)) = composition(top,X_213),
inference(subst,[],[refute_0_2895:[bind(C,$fot(X_213))]]) ).
cnf(refute_0_3427,plain,
converse(composition(top,composition(top,X_213))) = converse(composition(top,composition(top,X_213))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(top,X_213))))]]) ).
cnf(refute_0_3428,plain,
( composition(top,composition(top,X_213)) != composition(top,X_213)
| converse(composition(top,composition(top,X_213))) != converse(composition(top,composition(top,X_213)))
| converse(composition(top,composition(top,X_213))) = converse(composition(top,X_213)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(top,X_213))),converse(composition(top,composition(top,X_213)))) ),[1,0],$fot(composition(top,X_213))]]) ).
cnf(refute_0_3429,plain,
( composition(top,composition(top,X_213)) != composition(top,X_213)
| converse(composition(top,composition(top,X_213))) = converse(composition(top,X_213)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,X_213))),converse(composition(top,composition(top,X_213)))) )],[refute_0_3427,refute_0_3428]) ).
cnf(refute_0_3430,plain,
converse(composition(top,composition(top,X_213))) = converse(composition(top,X_213)),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_213)),composition(top,X_213)) )],[refute_0_3426,refute_0_3429]) ).
cnf(refute_0_3431,plain,
complement(converse(composition(top,composition(top,X_213)))) = complement(converse(composition(top,composition(top,X_213)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(top,X_213)))))]]) ).
cnf(refute_0_3432,plain,
( complement(converse(composition(top,composition(top,X_213)))) != complement(converse(composition(top,composition(top,X_213))))
| converse(composition(top,composition(top,X_213))) != converse(composition(top,X_213))
| complement(converse(composition(top,composition(top,X_213)))) = complement(converse(composition(top,X_213))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(top,X_213)))),complement(converse(composition(top,composition(top,X_213))))) ),[1,0],$fot(converse(composition(top,X_213)))]]) ).
cnf(refute_0_3433,plain,
( converse(composition(top,composition(top,X_213))) != converse(composition(top,X_213))
| complement(converse(composition(top,composition(top,X_213)))) = complement(converse(composition(top,X_213))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,X_213)))),complement(converse(composition(top,composition(top,X_213))))) )],[refute_0_3431,refute_0_3432]) ).
cnf(refute_0_3434,plain,
complement(converse(composition(top,composition(top,X_213)))) = complement(converse(composition(top,X_213))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,X_213))),converse(composition(top,X_213))) )],[refute_0_3430,refute_0_3433]) ).
cnf(refute_0_3435,plain,
composition(top,complement(converse(composition(top,composition(top,X_213))))) = composition(top,complement(converse(composition(top,composition(top,X_213))))),
introduced(tautology,[refl,[$fot(composition(top,complement(converse(composition(top,composition(top,X_213))))))]]) ).
cnf(refute_0_3436,plain,
( complement(converse(composition(top,composition(top,X_213)))) != complement(converse(composition(top,X_213)))
| composition(top,complement(converse(composition(top,composition(top,X_213))))) != composition(top,complement(converse(composition(top,composition(top,X_213)))))
| composition(top,complement(converse(composition(top,composition(top,X_213))))) = composition(top,complement(converse(composition(top,X_213)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(top,X_213))))),composition(top,complement(converse(composition(top,composition(top,X_213)))))) ),[1,1],$fot(complement(converse(composition(top,X_213))))]]) ).
cnf(refute_0_3437,plain,
( complement(converse(composition(top,composition(top,X_213)))) != complement(converse(composition(top,X_213)))
| composition(top,complement(converse(composition(top,composition(top,X_213))))) = composition(top,complement(converse(composition(top,X_213)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(top,X_213))))),composition(top,complement(converse(composition(top,composition(top,X_213)))))) )],[refute_0_3435,refute_0_3436]) ).
cnf(refute_0_3438,plain,
composition(top,complement(converse(composition(top,composition(top,X_213))))) = composition(top,complement(converse(composition(top,X_213)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,X_213)))),complement(converse(composition(top,X_213)))) )],[refute_0_3434,refute_0_3437]) ).
cnf(refute_0_3439,plain,
( composition(top,complement(converse(composition(top,composition(top,X_213))))) != composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))
| composition(top,complement(converse(composition(top,composition(top,X_213))))) != composition(top,complement(converse(composition(top,X_213))))
| composition(top,complement(converse(composition(top,X_213)))) = composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(top,X_213))))),composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))) ),[0],$fot(composition(top,complement(converse(composition(top,X_213)))))]]) ).
cnf(refute_0_3440,plain,
( composition(top,complement(converse(composition(top,composition(top,X_213))))) != composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))
| composition(top,complement(converse(composition(top,X_213)))) = composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(top,X_213))))),composition(top,complement(converse(composition(top,X_213))))) )],[refute_0_3438,refute_0_3439]) ).
cnf(refute_0_3441,plain,
composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))) = composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))),
introduced(tautology,[refl,[$fot(composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))))]]) ).
cnf(refute_0_3442,plain,
( complement(converse(composition(top,composition(top,X_213)))) != complement(converse(composition(top,X_213)))
| composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))) != composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))
| composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))) = composition(complement(X_213),complement(converse(composition(top,X_213)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))),composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))) ),[1,1],$fot(complement(converse(composition(top,X_213))))]]) ).
cnf(refute_0_3443,plain,
( complement(converse(composition(top,composition(top,X_213)))) != complement(converse(composition(top,X_213)))
| composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))) = composition(complement(X_213),complement(converse(composition(top,X_213)))) ),
inference(resolve,[$cnf( $equal(composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))),composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))) )],[refute_0_3441,refute_0_3442]) ).
cnf(refute_0_3444,plain,
composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))) = composition(complement(X_213),complement(converse(composition(top,X_213)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,X_213)))),complement(converse(composition(top,X_213)))) )],[refute_0_3434,refute_0_3443]) ).
cnf(refute_0_3445,plain,
( composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))) != composition(complement(X_213),complement(converse(composition(top,X_213))))
| composition(top,complement(converse(composition(top,X_213)))) != composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))
| composition(top,complement(converse(composition(top,X_213)))) = composition(complement(X_213),complement(converse(composition(top,X_213)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,X_213)))),composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))) ),[1],$fot(composition(complement(X_213),complement(converse(composition(top,X_213)))))]]) ).
cnf(refute_0_3446,plain,
( composition(top,complement(converse(composition(top,X_213)))) != composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))
| composition(top,complement(converse(composition(top,X_213)))) = composition(complement(X_213),complement(converse(composition(top,X_213)))) ),
inference(resolve,[$cnf( $equal(composition(complement(X_213),complement(converse(composition(top,composition(top,X_213))))),composition(complement(X_213),complement(converse(composition(top,X_213))))) )],[refute_0_3444,refute_0_3445]) ).
cnf(refute_0_3447,plain,
( composition(top,complement(converse(composition(top,composition(top,X_213))))) != composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))
| composition(top,complement(converse(composition(top,X_213)))) = composition(complement(X_213),complement(converse(composition(top,X_213)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,X_213)))),composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))) )],[refute_0_3440,refute_0_3446]) ).
cnf(refute_0_3448,plain,
composition(top,complement(converse(composition(top,X_213)))) = composition(complement(X_213),complement(converse(composition(top,X_213)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(top,X_213))))),composition(complement(X_213),complement(converse(composition(top,composition(top,X_213)))))) )],[refute_0_3425,refute_0_3447]) ).
cnf(refute_0_3449,plain,
composition(top,complement(converse(composition(top,X_213)))) = converse(composition(complement(composition(top,X_213)),top)),
inference(subst,[],[refute_0_3352:[bind(X_183,$fot(composition(top,X_213)))]]) ).
cnf(refute_0_3450,plain,
( composition(top,complement(converse(composition(top,X_213)))) != composition(complement(X_213),complement(converse(composition(top,X_213))))
| composition(top,complement(converse(composition(top,X_213)))) != converse(composition(complement(composition(top,X_213)),top))
| converse(composition(complement(composition(top,X_213)),top)) = composition(complement(X_213),complement(converse(composition(top,X_213)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,X_213)))),composition(complement(X_213),complement(converse(composition(top,X_213))))) ),[0],$fot(converse(composition(complement(composition(top,X_213)),top)))]]) ).
cnf(refute_0_3451,plain,
( composition(top,complement(converse(composition(top,X_213)))) != composition(complement(X_213),complement(converse(composition(top,X_213))))
| converse(composition(complement(composition(top,X_213)),top)) = composition(complement(X_213),complement(converse(composition(top,X_213)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,X_213)))),converse(composition(complement(composition(top,X_213)),top))) )],[refute_0_3449,refute_0_3450]) ).
cnf(refute_0_3452,plain,
converse(composition(complement(composition(top,X_213)),top)) = composition(complement(X_213),complement(converse(composition(top,X_213)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,X_213)))),composition(complement(X_213),complement(converse(composition(top,X_213))))) )],[refute_0_3448,refute_0_3451]) ).
cnf(refute_0_3453,plain,
converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) = composition(complement(complement(composition(top,X_161))),complement(converse(composition(top,complement(composition(top,X_161)))))),
inference(subst,[],[refute_0_3452:[bind(X_213,$fot(complement(composition(top,X_161))))]]) ).
cnf(refute_0_3454,plain,
( composition(top,complement(composition(top,X_161))) != complement(composition(top,X_161))
| converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) != composition(complement(complement(composition(top,X_161))),complement(converse(composition(top,complement(composition(top,X_161))))))
| converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) = composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)),composition(complement(complement(composition(top,X_161))),complement(converse(composition(top,complement(composition(top,X_161))))))) ),[1,1,0,0],$fot(complement(composition(top,X_161)))]]) ).
cnf(refute_0_3455,plain,
( converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) != composition(complement(complement(composition(top,X_161))),complement(converse(composition(top,complement(composition(top,X_161))))))
| converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) = composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_161))),complement(composition(top,X_161))) )],[refute_0_2925,refute_0_3454]) ).
cnf(refute_0_3456,plain,
converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) = composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)),composition(complement(complement(composition(top,X_161))),complement(converse(composition(top,complement(composition(top,X_161))))))) )],[refute_0_3453,refute_0_3455]) ).
cnf(refute_0_3457,plain,
composition(composition(top,X_161),top) = composition(top,composition(X_161,top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(X_161)),bind(C,$fot(top))]]) ).
cnf(refute_0_3458,plain,
complement(complement(composition(top,X_161))) = composition(top,X_161),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(composition(top,X_161)))]]) ).
cnf(refute_0_3459,plain,
complement(composition(top,complement(composition(top,X_161)))) = complement(composition(top,complement(composition(top,X_161)))),
introduced(tautology,[refl,[$fot(complement(composition(top,complement(composition(top,X_161)))))]]) ).
cnf(refute_0_3460,plain,
( complement(composition(top,complement(composition(top,X_161)))) != complement(composition(top,complement(composition(top,X_161))))
| composition(top,complement(composition(top,X_161))) != complement(composition(top,X_161))
| complement(composition(top,complement(composition(top,X_161)))) = complement(complement(composition(top,X_161))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,complement(composition(top,X_161)))),complement(composition(top,complement(composition(top,X_161))))) ),[1,0],$fot(complement(composition(top,X_161)))]]) ).
cnf(refute_0_3461,plain,
( composition(top,complement(composition(top,X_161))) != complement(composition(top,X_161))
| complement(composition(top,complement(composition(top,X_161)))) = complement(complement(composition(top,X_161))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(composition(top,X_161)))),complement(composition(top,complement(composition(top,X_161))))) )],[refute_0_3459,refute_0_3460]) ).
cnf(refute_0_3462,plain,
complement(composition(top,complement(composition(top,X_161)))) = complement(complement(composition(top,X_161))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_161))),complement(composition(top,X_161))) )],[refute_0_2925,refute_0_3461]) ).
cnf(refute_0_3463,plain,
( complement(complement(composition(top,X_161))) != composition(top,X_161)
| complement(composition(top,complement(composition(top,X_161)))) != complement(complement(composition(top,X_161)))
| complement(composition(top,complement(composition(top,X_161)))) = composition(top,X_161) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(composition(top,complement(composition(top,X_161)))))),bind(Y,$fot(complement(complement(composition(top,X_161))))),bind(Z,$fot(composition(top,X_161)))]]) ).
cnf(refute_0_3464,plain,
( complement(complement(composition(top,X_161))) != composition(top,X_161)
| complement(composition(top,complement(composition(top,X_161)))) = composition(top,X_161) ),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(composition(top,X_161)))),complement(complement(composition(top,X_161)))) )],[refute_0_3462,refute_0_3463]) ).
cnf(refute_0_3465,plain,
complement(composition(top,complement(composition(top,X_161)))) = composition(top,X_161),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,X_161))),composition(top,X_161)) )],[refute_0_3458,refute_0_3464]) ).
cnf(refute_0_3466,plain,
composition(complement(composition(top,complement(composition(top,X_161)))),top) = composition(complement(composition(top,complement(composition(top,X_161)))),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(composition(top,X_161)))),top))]]) ).
cnf(refute_0_3467,plain,
( complement(composition(top,complement(composition(top,X_161)))) != composition(top,X_161)
| composition(complement(composition(top,complement(composition(top,X_161)))),top) != composition(complement(composition(top,complement(composition(top,X_161)))),top)
| composition(complement(composition(top,complement(composition(top,X_161)))),top) = composition(composition(top,X_161),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(composition(top,X_161)))),top),composition(complement(composition(top,complement(composition(top,X_161)))),top)) ),[1,0],$fot(composition(top,X_161))]]) ).
cnf(refute_0_3468,plain,
( complement(composition(top,complement(composition(top,X_161)))) != composition(top,X_161)
| composition(complement(composition(top,complement(composition(top,X_161)))),top) = composition(composition(top,X_161),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(composition(top,X_161)))),top),composition(complement(composition(top,complement(composition(top,X_161)))),top)) )],[refute_0_3466,refute_0_3467]) ).
cnf(refute_0_3469,plain,
composition(complement(composition(top,complement(composition(top,X_161)))),top) = composition(composition(top,X_161),top),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(composition(top,X_161)))),composition(top,X_161)) )],[refute_0_3465,refute_0_3468]) ).
cnf(refute_0_3470,plain,
( composition(complement(composition(top,complement(composition(top,X_161)))),top) != composition(composition(top,X_161),top)
| composition(composition(top,X_161),top) != composition(top,composition(X_161,top))
| composition(complement(composition(top,complement(composition(top,X_161)))),top) = composition(top,composition(X_161,top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(complement(composition(top,complement(composition(top,X_161)))),top))),bind(Y,$fot(composition(composition(top,X_161),top))),bind(Z,$fot(composition(top,composition(X_161,top))))]]) ).
cnf(refute_0_3471,plain,
( composition(composition(top,X_161),top) != composition(top,composition(X_161,top))
| composition(complement(composition(top,complement(composition(top,X_161)))),top) = composition(top,composition(X_161,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(composition(top,X_161)))),top),composition(composition(top,X_161),top)) )],[refute_0_3469,refute_0_3470]) ).
cnf(refute_0_3472,plain,
composition(complement(composition(top,complement(composition(top,X_161)))),top) = composition(top,composition(X_161,top)),
inference(resolve,[$cnf( $equal(composition(composition(top,X_161),top),composition(top,composition(X_161,top))) )],[refute_0_3457,refute_0_3471]) ).
cnf(refute_0_3473,plain,
converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) = converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)))]]) ).
cnf(refute_0_3474,plain,
( composition(complement(composition(top,complement(composition(top,X_161)))),top) != composition(top,composition(X_161,top))
| converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) != converse(composition(complement(composition(top,complement(composition(top,X_161)))),top))
| converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) = converse(composition(top,composition(X_161,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)),converse(composition(complement(composition(top,complement(composition(top,X_161)))),top))) ),[1,0],$fot(composition(top,composition(X_161,top)))]]) ).
cnf(refute_0_3475,plain,
( composition(complement(composition(top,complement(composition(top,X_161)))),top) != composition(top,composition(X_161,top))
| converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) = converse(composition(top,composition(X_161,top))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)),converse(composition(complement(composition(top,complement(composition(top,X_161)))),top))) )],[refute_0_3473,refute_0_3474]) ).
cnf(refute_0_3476,plain,
converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) = converse(composition(top,composition(X_161,top))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(composition(top,X_161)))),top),composition(top,composition(X_161,top))) )],[refute_0_3472,refute_0_3475]) ).
cnf(refute_0_3477,plain,
( converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) != composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161)))))
| converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) != converse(composition(top,composition(X_161,top)))
| converse(composition(top,composition(X_161,top))) = composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)),composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161)))))) ),[0],$fot(converse(composition(top,composition(X_161,top))))]]) ).
cnf(refute_0_3478,plain,
( converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) != composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161)))))
| converse(composition(top,composition(X_161,top))) = composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)),converse(composition(top,composition(X_161,top)))) )],[refute_0_3476,refute_0_3477]) ).
cnf(refute_0_3479,plain,
composition(composition(top,X_161),converse(composition(top,X_161))) = composition(top,composition(X_161,converse(composition(top,X_161)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(X_161)),bind(C,$fot(converse(composition(top,X_161))))]]) ).
cnf(refute_0_3480,plain,
complement(complement(converse(composition(top,X_161)))) = converse(composition(top,X_161)),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(converse(composition(top,X_161))))]]) ).
cnf(refute_0_3481,plain,
converse(complement(composition(top,X_161))) = complement(converse(composition(top,X_161))),
inference(subst,[],[refute_0_2565:[bind(X_183,$fot(composition(top,X_161)))]]) ).
cnf(refute_0_3482,plain,
complement(converse(complement(composition(top,X_161)))) = complement(converse(complement(composition(top,X_161)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(top,X_161)))))]]) ).
cnf(refute_0_3483,plain,
( complement(converse(complement(composition(top,X_161)))) != complement(converse(complement(composition(top,X_161))))
| converse(complement(composition(top,X_161))) != complement(converse(composition(top,X_161)))
| complement(converse(complement(composition(top,X_161)))) = complement(complement(converse(composition(top,X_161)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,X_161)))),complement(converse(complement(composition(top,X_161))))) ),[1,0],$fot(complement(converse(composition(top,X_161))))]]) ).
cnf(refute_0_3484,plain,
( converse(complement(composition(top,X_161))) != complement(converse(composition(top,X_161)))
| complement(converse(complement(composition(top,X_161)))) = complement(complement(converse(composition(top,X_161)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,X_161)))),complement(converse(complement(composition(top,X_161))))) )],[refute_0_3482,refute_0_3483]) ).
cnf(refute_0_3485,plain,
complement(converse(complement(composition(top,X_161)))) = complement(complement(converse(composition(top,X_161)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,X_161))),complement(converse(composition(top,X_161)))) )],[refute_0_3481,refute_0_3484]) ).
cnf(refute_0_3486,plain,
( complement(complement(converse(composition(top,X_161)))) != converse(composition(top,X_161))
| complement(converse(complement(composition(top,X_161)))) != complement(complement(converse(composition(top,X_161))))
| complement(converse(complement(composition(top,X_161)))) = converse(composition(top,X_161)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(converse(complement(composition(top,X_161)))))),bind(Y,$fot(complement(complement(converse(composition(top,X_161)))))),bind(Z,$fot(converse(composition(top,X_161))))]]) ).
cnf(refute_0_3487,plain,
( complement(complement(converse(composition(top,X_161)))) != converse(composition(top,X_161))
| complement(converse(complement(composition(top,X_161)))) = converse(composition(top,X_161)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,X_161)))),complement(complement(converse(composition(top,X_161))))) )],[refute_0_3485,refute_0_3486]) ).
cnf(refute_0_3488,plain,
complement(converse(complement(composition(top,X_161)))) = converse(composition(top,X_161)),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,X_161)))),converse(composition(top,X_161))) )],[refute_0_3480,refute_0_3487]) ).
cnf(refute_0_3489,plain,
composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))) = composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))),
introduced(tautology,[refl,[$fot(composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))))]]) ).
cnf(refute_0_3490,plain,
( complement(converse(complement(composition(top,X_161)))) != converse(composition(top,X_161))
| composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))) != composition(composition(top,X_161),complement(converse(complement(composition(top,X_161)))))
| composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))) = composition(composition(top,X_161),converse(composition(top,X_161))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))),composition(composition(top,X_161),complement(converse(complement(composition(top,X_161)))))) ),[1,1],$fot(converse(composition(top,X_161)))]]) ).
cnf(refute_0_3491,plain,
( complement(converse(complement(composition(top,X_161)))) != converse(composition(top,X_161))
| composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))) = composition(composition(top,X_161),converse(composition(top,X_161))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))),composition(composition(top,X_161),complement(converse(complement(composition(top,X_161)))))) )],[refute_0_3489,refute_0_3490]) ).
cnf(refute_0_3492,plain,
composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))) = composition(composition(top,X_161),converse(composition(top,X_161))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,X_161)))),converse(composition(top,X_161))) )],[refute_0_3488,refute_0_3491]) ).
cnf(refute_0_3493,plain,
composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) = composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))),
introduced(tautology,[refl,[$fot(composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))))]]) ).
cnf(refute_0_3494,plain,
( complement(complement(composition(top,X_161))) != composition(top,X_161)
| composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) != composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161)))))
| composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) = composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))),composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161)))))) ),[1,0],$fot(composition(top,X_161))]]) ).
cnf(refute_0_3495,plain,
( complement(complement(composition(top,X_161))) != composition(top,X_161)
| composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) = composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))),composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161)))))) )],[refute_0_3493,refute_0_3494]) ).
cnf(refute_0_3496,plain,
composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) = composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,X_161))),composition(top,X_161)) )],[refute_0_3458,refute_0_3495]) ).
cnf(refute_0_3497,plain,
( composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) != composition(composition(top,X_161),complement(converse(complement(composition(top,X_161)))))
| composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))) != composition(composition(top,X_161),converse(composition(top,X_161)))
| composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) = composition(composition(top,X_161),converse(composition(top,X_161))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))))),bind(Y,$fot(composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))))),bind(Z,$fot(composition(composition(top,X_161),converse(composition(top,X_161)))))]]) ).
cnf(refute_0_3498,plain,
( composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))) != composition(composition(top,X_161),converse(composition(top,X_161)))
| composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) = composition(composition(top,X_161),converse(composition(top,X_161))) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))),composition(composition(top,X_161),complement(converse(complement(composition(top,X_161)))))) )],[refute_0_3496,refute_0_3497]) ).
cnf(refute_0_3499,plain,
composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) = composition(composition(top,X_161),converse(composition(top,X_161))),
inference(resolve,[$cnf( $equal(composition(composition(top,X_161),complement(converse(complement(composition(top,X_161))))),composition(composition(top,X_161),converse(composition(top,X_161)))) )],[refute_0_3492,refute_0_3498]) ).
cnf(refute_0_3500,plain,
( composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) != composition(composition(top,X_161),converse(composition(top,X_161)))
| composition(composition(top,X_161),converse(composition(top,X_161))) != composition(top,composition(X_161,converse(composition(top,X_161))))
| composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) = composition(top,composition(X_161,converse(composition(top,X_161)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))))),bind(Y,$fot(composition(composition(top,X_161),converse(composition(top,X_161))))),bind(Z,$fot(composition(top,composition(X_161,converse(composition(top,X_161))))))]]) ).
cnf(refute_0_3501,plain,
( composition(composition(top,X_161),converse(composition(top,X_161))) != composition(top,composition(X_161,converse(composition(top,X_161))))
| composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) = composition(top,composition(X_161,converse(composition(top,X_161)))) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))),composition(composition(top,X_161),converse(composition(top,X_161)))) )],[refute_0_3499,refute_0_3500]) ).
cnf(refute_0_3502,plain,
composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) = composition(top,composition(X_161,converse(composition(top,X_161)))),
inference(resolve,[$cnf( $equal(composition(composition(top,X_161),converse(composition(top,X_161))),composition(top,composition(X_161,converse(composition(top,X_161))))) )],[refute_0_3479,refute_0_3501]) ).
cnf(refute_0_3503,plain,
( composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))) != composition(top,composition(X_161,converse(composition(top,X_161))))
| converse(composition(top,composition(X_161,top))) != composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161)))))
| converse(composition(top,composition(X_161,top))) = composition(top,composition(X_161,converse(composition(top,X_161)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(X_161,top))),composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161)))))) ),[1],$fot(composition(top,composition(X_161,converse(composition(top,X_161)))))]]) ).
cnf(refute_0_3504,plain,
( converse(composition(top,composition(X_161,top))) != composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161)))))
| converse(composition(top,composition(X_161,top))) = composition(top,composition(X_161,converse(composition(top,X_161)))) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161))))),composition(top,composition(X_161,converse(composition(top,X_161))))) )],[refute_0_3502,refute_0_3503]) ).
cnf(refute_0_3505,plain,
( converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)) != composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161)))))
| converse(composition(top,composition(X_161,top))) = composition(top,composition(X_161,converse(composition(top,X_161)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(X_161,top))),composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161)))))) )],[refute_0_3478,refute_0_3504]) ).
cnf(refute_0_3506,plain,
converse(composition(top,composition(X_161,top))) = composition(top,composition(X_161,converse(composition(top,X_161)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(composition(top,X_161)))),top)),composition(complement(complement(composition(top,X_161))),complement(converse(complement(composition(top,X_161)))))) )],[refute_0_3456,refute_0_3505]) ).
cnf(refute_0_3507,plain,
converse(composition(top,composition(complement(one),top))) = composition(top,composition(complement(one),converse(composition(top,complement(one))))),
inference(subst,[],[refute_0_3506:[bind(X_161,$fot(complement(one)))]]) ).
cnf(refute_0_3508,plain,
converse(composition(top,complement(one))) = composition(converse(complement(one)),top),
inference(subst,[],[refute_0_2375:[bind(X_35,$fot(complement(one)))]]) ).
cnf(refute_0_3509,plain,
( converse(complement(one)) != complement(one)
| converse(composition(top,complement(one))) != composition(converse(complement(one)),top)
| converse(composition(top,complement(one))) = composition(complement(one),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(one))),composition(converse(complement(one)),top)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3510,plain,
( converse(composition(top,complement(one))) != composition(converse(complement(one)),top)
| converse(composition(top,complement(one))) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1443,refute_0_3509]) ).
cnf(refute_0_3511,plain,
converse(composition(top,complement(one))) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(converse(complement(one)),top)) )],[refute_0_3508,refute_0_3510]) ).
cnf(refute_0_3512,plain,
converse(composition(top,composition(complement(one),top))) = composition(converse(composition(complement(one),top)),top),
inference(subst,[],[refute_0_2375:[bind(X_35,$fot(composition(complement(one),top)))]]) ).
cnf(refute_0_3513,plain,
converse(converse(composition(top,complement(one)))) = composition(top,complement(one)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_3514,plain,
( converse(composition(top,complement(one))) != composition(complement(one),top)
| converse(converse(composition(top,complement(one)))) != composition(top,complement(one))
| converse(composition(complement(one),top)) = composition(top,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,complement(one)))),composition(top,complement(one))) ),[0,0],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_3515,plain,
( converse(converse(composition(top,complement(one)))) != composition(top,complement(one))
| converse(composition(complement(one),top)) = composition(top,complement(one)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) )],[refute_0_3511,refute_0_3514]) ).
cnf(refute_0_3516,plain,
converse(composition(complement(one),top)) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(one)))),composition(top,complement(one))) )],[refute_0_3513,refute_0_3515]) ).
cnf(refute_0_3517,plain,
( converse(composition(complement(one),top)) != composition(top,complement(one))
| converse(composition(top,composition(complement(one),top))) != composition(converse(composition(complement(one),top)),top)
| converse(composition(top,composition(complement(one),top))) = composition(composition(top,complement(one)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(converse(composition(complement(one),top)),top)) ),[1,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3518,plain,
( converse(composition(top,composition(complement(one),top))) != composition(converse(composition(complement(one),top)),top)
| converse(composition(top,composition(complement(one),top))) = composition(composition(top,complement(one)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_3516,refute_0_3517]) ).
cnf(refute_0_3519,plain,
converse(composition(top,composition(complement(one),top))) = composition(composition(top,complement(one)),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(converse(composition(complement(one),top)),top)) )],[refute_0_3512,refute_0_3518]) ).
cnf(refute_0_3520,plain,
composition(composition(top,complement(one)),top) = composition(top,composition(complement(one),top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(complement(one))),bind(C,$fot(top))]]) ).
cnf(refute_0_3521,plain,
( composition(composition(top,complement(one)),top) != composition(top,composition(complement(one),top))
| converse(composition(top,composition(complement(one),top))) != composition(composition(top,complement(one)),top)
| converse(composition(top,composition(complement(one),top))) = composition(top,composition(complement(one),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(composition(top,complement(one)),top)) ),[1],$fot(composition(top,composition(complement(one),top)))]]) ).
cnf(refute_0_3522,plain,
( converse(composition(top,composition(complement(one),top))) != composition(composition(top,complement(one)),top)
| converse(composition(top,composition(complement(one),top))) = composition(top,composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(one)),top),composition(top,composition(complement(one),top))) )],[refute_0_3520,refute_0_3521]) ).
cnf(refute_0_3523,plain,
converse(composition(top,composition(complement(one),top))) = composition(top,composition(complement(one),top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(composition(top,complement(one)),top)) )],[refute_0_3519,refute_0_3522]) ).
cnf(refute_0_3524,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(composition(top,complement(composition(complement(one),top)))))) = complement(complement(composition(complement(one),top))),
inference(subst,[],[refute_0_437:[bind(A,$fot(top)),bind(B,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3525,plain,
composition(join(complement(one),one),complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))),
inference(subst,[],[refute_0_57:[bind(X_147,$fot(complement(one))),bind(X_149,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3526,plain,
join(complement(converse(top)),composition(complement(one),complement(converse(composition(top,complement(one)))))) = complement(converse(top)),
inference(subst,[],[refute_0_1352:[bind(X_34,$fot(top)),bind(X_35,$fot(complement(one)))]]) ).
cnf(refute_0_3527,plain,
( converse(composition(top,complement(one))) != composition(complement(one),top)
| join(complement(converse(top)),composition(complement(one),complement(converse(composition(top,complement(one)))))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(one),complement(converse(composition(top,complement(one)))))),complement(converse(top))) ),[0,1,1,0],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_3528,plain,
( join(complement(converse(top)),composition(complement(one),complement(converse(composition(top,complement(one)))))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) )],[refute_0_3511,refute_0_3527]) ).
cnf(refute_0_3529,plain,
join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(one),complement(converse(composition(top,complement(one)))))),complement(converse(top))) )],[refute_0_3526,refute_0_3528]) ).
cnf(refute_0_3530,plain,
join(zero,composition(complement(one),complement(composition(complement(one),top)))) = composition(complement(one),complement(composition(complement(one),top))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(composition(complement(one),complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3531,plain,
join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) = join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3532,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) != join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top))))
| join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) = join(zero,composition(complement(one),complement(composition(complement(one),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))),join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3533,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) = join(zero,composition(complement(one),complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))),join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top))))) )],[refute_0_3531,refute_0_3532]) ).
cnf(refute_0_3534,plain,
join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) = join(zero,composition(complement(one),complement(composition(complement(one),top)))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2129,refute_0_3533]) ).
cnf(refute_0_3535,plain,
( join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) != join(zero,composition(complement(one),complement(composition(complement(one),top))))
| join(zero,composition(complement(one),complement(composition(complement(one),top)))) != composition(complement(one),complement(composition(complement(one),top)))
| join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) = composition(complement(one),complement(composition(complement(one),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))))),bind(Y,$fot(join(zero,composition(complement(one),complement(composition(complement(one),top)))))),bind(Z,$fot(composition(complement(one),complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3536,plain,
( join(zero,composition(complement(one),complement(composition(complement(one),top)))) != composition(complement(one),complement(composition(complement(one),top)))
| join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) = composition(complement(one),complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))),join(zero,composition(complement(one),complement(composition(complement(one),top))))) )],[refute_0_3534,refute_0_3535]) ).
cnf(refute_0_3537,plain,
join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) = composition(complement(one),complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(one),complement(composition(complement(one),top)))),composition(complement(one),complement(composition(complement(one),top)))) )],[refute_0_3530,refute_0_3536]) ).
cnf(refute_0_3538,plain,
( join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) != composition(complement(one),complement(composition(complement(one),top)))
| composition(complement(one),complement(composition(complement(one),top))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))),complement(converse(top))) ),[0],$fot(composition(complement(one),complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3539,plain,
( join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) != complement(converse(top))
| composition(complement(one),complement(composition(complement(one),top))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))),composition(complement(one),complement(composition(complement(one),top)))) )],[refute_0_3537,refute_0_3538]) ).
cnf(refute_0_3540,plain,
( complement(converse(top)) != zero
| composition(complement(one),complement(composition(complement(one),top))) != complement(converse(top))
| composition(complement(one),complement(composition(complement(one),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),complement(composition(complement(one),top))),complement(converse(top))) ),[1],$fot(zero)]]) ).
cnf(refute_0_3541,plain,
( composition(complement(one),complement(composition(complement(one),top))) != complement(converse(top))
| composition(complement(one),complement(composition(complement(one),top))) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2129,refute_0_3540]) ).
cnf(refute_0_3542,plain,
( join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))) != complement(converse(top))
| composition(complement(one),complement(composition(complement(one),top))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(composition(complement(one),top))),complement(converse(top))) )],[refute_0_3539,refute_0_3541]) ).
cnf(refute_0_3543,plain,
composition(complement(one),complement(composition(complement(one),top))) = zero,
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(one),complement(composition(complement(one),top)))),complement(converse(top))) )],[refute_0_3529,refute_0_3542]) ).
cnf(refute_0_3544,plain,
( composition(complement(one),complement(composition(complement(one),top))) != zero
| composition(join(complement(one),one),complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))
| composition(join(complement(one),one),complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),one),complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3545,plain,
( composition(join(complement(one),one),complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))
| composition(join(complement(one),one),complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),zero) ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(composition(complement(one),top))),zero) )],[refute_0_3543,refute_0_3544]) ).
cnf(refute_0_3546,plain,
composition(join(complement(one),one),complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),zero),
inference(resolve,[$cnf( $equal(composition(join(complement(one),one),complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))) )],[refute_0_3525,refute_0_3545]) ).
cnf(refute_0_3547,plain,
join(one,complement(one)) = top,
inference(subst,[],[refute_0_248:[bind(A,$fot(one))]]) ).
cnf(refute_0_3548,plain,
composition(join(one,complement(one)),complement(composition(complement(one),top))) = composition(join(one,complement(one)),complement(composition(complement(one),top))),
introduced(tautology,[refl,[$fot(composition(join(one,complement(one)),complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3549,plain,
( composition(join(one,complement(one)),complement(composition(complement(one),top))) != composition(join(one,complement(one)),complement(composition(complement(one),top)))
| join(one,complement(one)) != top
| composition(join(one,complement(one)),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(one)),complement(composition(complement(one),top))),composition(join(one,complement(one)),complement(composition(complement(one),top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3550,plain,
( join(one,complement(one)) != top
| composition(join(one,complement(one)),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(one)),complement(composition(complement(one),top))),composition(join(one,complement(one)),complement(composition(complement(one),top)))) )],[refute_0_3548,refute_0_3549]) ).
cnf(refute_0_3551,plain,
composition(join(one,complement(one)),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_3547,refute_0_3550]) ).
cnf(refute_0_3552,plain,
composition(join(complement(one),one),complement(composition(complement(one),top))) = composition(join(one,complement(one)),complement(composition(complement(one),top))),
inference(subst,[],[refute_0_79:[bind(X_150,$fot(complement(one))),bind(X_151,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3553,plain,
( composition(join(complement(one),one),complement(composition(complement(one),top))) != composition(join(one,complement(one)),complement(composition(complement(one),top)))
| composition(join(one,complement(one)),complement(composition(complement(one),top))) != composition(top,complement(composition(complement(one),top)))
| composition(join(complement(one),one),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(complement(one),one),complement(composition(complement(one),top))))),bind(Y,$fot(composition(join(one,complement(one)),complement(composition(complement(one),top))))),bind(Z,$fot(composition(top,complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3554,plain,
( composition(join(one,complement(one)),complement(composition(complement(one),top))) != composition(top,complement(composition(complement(one),top)))
| composition(join(complement(one),one),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),one),complement(composition(complement(one),top))),composition(join(one,complement(one)),complement(composition(complement(one),top)))) )],[refute_0_3552,refute_0_3553]) ).
cnf(refute_0_3555,plain,
composition(join(complement(one),one),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(one)),complement(composition(complement(one),top))),composition(top,complement(composition(complement(one),top)))) )],[refute_0_3551,refute_0_3554]) ).
cnf(refute_0_3556,plain,
( composition(join(complement(one),one),complement(composition(complement(one),top))) != composition(top,complement(composition(complement(one),top)))
| composition(join(complement(one),one),complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),zero)
| composition(top,complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),one),complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),zero)) ),[0],$fot(composition(top,complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3557,plain,
( composition(join(complement(one),one),complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),zero)
| composition(top,complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),zero) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),one),complement(composition(complement(one),top))),composition(top,complement(composition(complement(one),top)))) )],[refute_0_3555,refute_0_3556]) ).
cnf(refute_0_3558,plain,
join(complement(composition(complement(one),top)),zero) = complement(composition(complement(one),top)),
inference(subst,[],[refute_0_1072:[bind(X_41,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3559,plain,
( composition(top,complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),zero)
| join(complement(composition(complement(one),top)),zero) != complement(composition(complement(one),top))
| composition(top,complement(composition(complement(one),top))) = complement(composition(complement(one),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,complement(composition(complement(one),top))),complement(composition(complement(one),top))) ),[0],$fot(join(complement(composition(complement(one),top)),zero))]]) ).
cnf(refute_0_3560,plain,
( composition(top,complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),zero)
| composition(top,complement(composition(complement(one),top))) = complement(composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(one),top)),zero),complement(composition(complement(one),top))) )],[refute_0_3558,refute_0_3559]) ).
cnf(refute_0_3561,plain,
( composition(join(complement(one),one),complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),zero)
| composition(top,complement(composition(complement(one),top))) = complement(composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),zero)) )],[refute_0_3557,refute_0_3560]) ).
cnf(refute_0_3562,plain,
composition(top,complement(composition(complement(one),top))) = complement(composition(complement(one),top)),
inference(resolve,[$cnf( $equal(composition(join(complement(one),one),complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),zero)) )],[refute_0_3546,refute_0_3561]) ).
cnf(refute_0_3563,plain,
( composition(top,complement(composition(complement(one),top))) != complement(composition(complement(one),top))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(composition(top,complement(composition(complement(one),top)))))) != complement(complement(composition(complement(one),top)))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = complement(complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(composition(top,complement(composition(complement(one),top)))))),complement(complement(composition(complement(one),top)))) ),[0,1,1,0],$fot(complement(composition(complement(one),top)))]]) ).
cnf(refute_0_3564,plain,
( join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(composition(top,complement(composition(complement(one),top)))))) != complement(complement(composition(complement(one),top)))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = complement(complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(one),top))),complement(composition(complement(one),top))) )],[refute_0_3562,refute_0_3563]) ).
cnf(refute_0_3565,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = complement(complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(composition(top,complement(composition(complement(one),top)))))),complement(complement(composition(complement(one),top)))) )],[refute_0_3524,refute_0_3564]) ).
cnf(refute_0_3566,plain,
complement(complement(composition(complement(one),top))) = composition(complement(one),top),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(composition(complement(one),top)))]]) ).
cnf(refute_0_3567,plain,
composition(top,complement(complement(composition(complement(one),top)))) = composition(top,complement(complement(composition(complement(one),top)))),
introduced(tautology,[refl,[$fot(composition(top,complement(complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3568,plain,
( complement(complement(composition(complement(one),top))) != composition(complement(one),top)
| composition(top,complement(complement(composition(complement(one),top)))) != composition(top,complement(complement(composition(complement(one),top))))
| composition(top,complement(complement(composition(complement(one),top)))) = composition(top,composition(complement(one),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(complement(composition(complement(one),top)))),composition(top,complement(complement(composition(complement(one),top))))) ),[1,1],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_3569,plain,
( complement(complement(composition(complement(one),top))) != composition(complement(one),top)
| composition(top,complement(complement(composition(complement(one),top)))) = composition(top,composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(composition(complement(one),top)))),composition(top,complement(complement(composition(complement(one),top))))) )],[refute_0_3567,refute_0_3568]) ).
cnf(refute_0_3570,plain,
composition(top,complement(complement(composition(complement(one),top)))) = composition(top,composition(complement(one),top)),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(one),top))),composition(complement(one),top)) )],[refute_0_3566,refute_0_3569]) ).
cnf(refute_0_3571,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3572,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) != composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(top,complement(complement(composition(complement(one),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3573,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(top,complement(complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))) )],[refute_0_3571,refute_0_3572]) ).
cnf(refute_0_3574,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(top,complement(complement(composition(complement(one),top)))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_2910,refute_0_3573]) ).
cnf(refute_0_3575,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) != composition(top,complement(complement(composition(complement(one),top))))
| composition(top,complement(complement(composition(complement(one),top)))) != composition(top,composition(complement(one),top))
| composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(top,composition(complement(one),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))))),bind(Y,$fot(composition(top,complement(complement(composition(complement(one),top)))))),bind(Z,$fot(composition(top,composition(complement(one),top))))]]) ).
cnf(refute_0_3576,plain,
( composition(top,complement(complement(composition(complement(one),top)))) != composition(top,composition(complement(one),top))
| composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(top,composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),composition(top,complement(complement(composition(complement(one),top))))) )],[refute_0_3574,refute_0_3575]) ).
cnf(refute_0_3577,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(top,composition(complement(one),top)),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(composition(complement(one),top)))),composition(top,composition(complement(one),top))) )],[refute_0_3570,refute_0_3576]) ).
cnf(refute_0_3578,plain,
composition(join(converse(top),one),complement(complement(composition(complement(one),top)))) = composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),
inference(subst,[],[refute_0_79:[bind(X_150,$fot(converse(top))),bind(X_151,$fot(complement(complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3579,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(join(converse(top),one),complement(complement(composition(complement(one),top)))),
inference(subst,[],[refute_0_73:[bind(X_147,$fot(converse(top))),bind(X_149,$fot(complement(complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3580,plain,
( composition(join(converse(top),one),complement(complement(composition(complement(one),top)))) != composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) != composition(join(converse(top),one),complement(complement(composition(complement(one),top))))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))))),bind(Y,$fot(composition(join(converse(top),one),complement(complement(composition(complement(one),top)))))),bind(Z,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))))]]) ).
cnf(refute_0_3581,plain,
( composition(join(converse(top),one),complement(complement(composition(complement(one),top)))) != composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))),composition(join(converse(top),one),complement(complement(composition(complement(one),top))))) )],[refute_0_3579,refute_0_3580]) ).
cnf(refute_0_3582,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(complement(composition(complement(one),top)))),composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))) )],[refute_0_3578,refute_0_3581]) ).
cnf(refute_0_3583,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) != composition(top,composition(complement(one),top))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) != composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(top,composition(complement(one),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))))),bind(Y,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))))),bind(Z,$fot(composition(top,composition(complement(one),top))))]]) ).
cnf(refute_0_3584,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) != composition(top,composition(complement(one),top))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(top,composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))),composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))) )],[refute_0_3582,refute_0_3583]) ).
cnf(refute_0_3585,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(top,composition(complement(one),top)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),composition(top,composition(complement(one),top))) )],[refute_0_3577,refute_0_3584]) ).
cnf(refute_0_3586,plain,
( join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) != complement(complement(composition(complement(one),top)))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) != composition(top,composition(complement(one),top))
| composition(top,composition(complement(one),top)) = complement(complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))),complement(complement(composition(complement(one),top)))) ),[0],$fot(composition(top,composition(complement(one),top)))]]) ).
cnf(refute_0_3587,plain,
( join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) != complement(complement(composition(complement(one),top)))
| composition(top,composition(complement(one),top)) = complement(complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))),composition(top,composition(complement(one),top))) )],[refute_0_3585,refute_0_3586]) ).
cnf(refute_0_3588,plain,
( complement(complement(composition(complement(one),top))) != composition(complement(one),top)
| composition(top,composition(complement(one),top)) != complement(complement(composition(complement(one),top)))
| composition(top,composition(complement(one),top)) = composition(complement(one),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(one),top)),complement(complement(composition(complement(one),top)))) ),[1],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_3589,plain,
( composition(top,composition(complement(one),top)) != complement(complement(composition(complement(one),top)))
| composition(top,composition(complement(one),top)) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(one),top))),composition(complement(one),top)) )],[refute_0_3566,refute_0_3588]) ).
cnf(refute_0_3590,plain,
( join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) != complement(complement(composition(complement(one),top)))
| composition(top,composition(complement(one),top)) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),top)),complement(complement(composition(complement(one),top)))) )],[refute_0_3587,refute_0_3589]) ).
cnf(refute_0_3591,plain,
composition(top,composition(complement(one),top)) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))),complement(complement(composition(complement(one),top)))) )],[refute_0_3565,refute_0_3590]) ).
cnf(refute_0_3592,plain,
converse(composition(top,composition(complement(one),top))) = converse(composition(top,composition(complement(one),top))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(complement(one),top))))]]) ).
cnf(refute_0_3593,plain,
( composition(top,composition(complement(one),top)) != composition(complement(one),top)
| converse(composition(top,composition(complement(one),top))) != converse(composition(top,composition(complement(one),top)))
| converse(composition(top,composition(complement(one),top))) = converse(composition(complement(one),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),converse(composition(top,composition(complement(one),top)))) ),[1,0],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_3594,plain,
( composition(top,composition(complement(one),top)) != composition(complement(one),top)
| converse(composition(top,composition(complement(one),top))) = converse(composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),converse(composition(top,composition(complement(one),top)))) )],[refute_0_3592,refute_0_3593]) ).
cnf(refute_0_3595,plain,
converse(composition(top,composition(complement(one),top))) = converse(composition(complement(one),top)),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),top)),composition(complement(one),top)) )],[refute_0_3591,refute_0_3594]) ).
cnf(refute_0_3596,plain,
( converse(composition(complement(one),top)) != composition(top,complement(one))
| converse(composition(top,composition(complement(one),top))) != converse(composition(complement(one),top))
| converse(composition(top,composition(complement(one),top))) = composition(top,complement(one)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,composition(complement(one),top))))),bind(Y,$fot(converse(composition(complement(one),top)))),bind(Z,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_3597,plain,
( converse(composition(complement(one),top)) != composition(top,complement(one))
| converse(composition(top,composition(complement(one),top))) = composition(top,complement(one)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),converse(composition(complement(one),top))) )],[refute_0_3595,refute_0_3596]) ).
cnf(refute_0_3598,plain,
converse(composition(top,composition(complement(one),top))) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_3516,refute_0_3597]) ).
cnf(refute_0_3599,plain,
( converse(composition(top,composition(complement(one),top))) != composition(top,complement(one))
| converse(composition(top,composition(complement(one),top))) != composition(top,composition(complement(one),top))
| composition(top,complement(one)) = composition(top,composition(complement(one),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(top,composition(complement(one),top))) ),[0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3600,plain,
( converse(composition(top,composition(complement(one),top))) != composition(top,composition(complement(one),top))
| composition(top,complement(one)) = composition(top,composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(top,complement(one))) )],[refute_0_3598,refute_0_3599]) ).
cnf(refute_0_3601,plain,
( composition(top,complement(one)) != composition(top,composition(complement(one),top))
| composition(top,composition(complement(one),top)) != composition(complement(one),top)
| composition(top,complement(one)) = composition(complement(one),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,complement(one)),composition(complement(one),top)) ),[0],$fot(composition(top,composition(complement(one),top)))]]) ).
cnf(refute_0_3602,plain,
( composition(top,complement(one)) != composition(top,composition(complement(one),top))
| composition(top,complement(one)) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),top)),composition(complement(one),top)) )],[refute_0_3591,refute_0_3601]) ).
cnf(refute_0_3603,plain,
( converse(composition(top,composition(complement(one),top))) != composition(top,composition(complement(one),top))
| composition(top,complement(one)) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(composition(top,complement(one)),composition(top,composition(complement(one),top))) )],[refute_0_3600,refute_0_3602]) ).
cnf(refute_0_3604,plain,
composition(top,complement(one)) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(top,composition(complement(one),top))) )],[refute_0_3523,refute_0_3603]) ).
cnf(refute_0_3605,plain,
( composition(top,complement(one)) != composition(complement(one),top)
| composition(complement(one),top) = composition(top,complement(one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,complement(one)))),bind(Y,$fot(composition(complement(one),top)))]]) ).
cnf(refute_0_3606,plain,
composition(complement(one),top) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(composition(top,complement(one)),composition(complement(one),top)) )],[refute_0_3604,refute_0_3605]) ).
cnf(refute_0_3607,plain,
( composition(complement(one),top) != composition(top,complement(one))
| converse(composition(top,complement(one))) != composition(complement(one),top)
| converse(composition(top,complement(one))) = composition(top,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) ),[1],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3608,plain,
( converse(composition(top,complement(one))) != composition(complement(one),top)
| converse(composition(top,complement(one))) = composition(top,complement(one)) ),
inference(resolve,[$cnf( $equal(composition(complement(one),top),composition(top,complement(one))) )],[refute_0_3606,refute_0_3607]) ).
cnf(refute_0_3609,plain,
converse(composition(top,complement(one))) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) )],[refute_0_3511,refute_0_3608]) ).
cnf(refute_0_3610,plain,
( converse(composition(top,complement(one))) != composition(top,complement(one))
| converse(composition(top,composition(complement(one),top))) != composition(top,composition(complement(one),converse(composition(top,complement(one)))))
| converse(composition(top,composition(complement(one),top))) = composition(top,composition(complement(one),composition(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(top,composition(complement(one),converse(composition(top,complement(one)))))) ),[1,1,1],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3611,plain,
( converse(composition(top,composition(complement(one),top))) != composition(top,composition(complement(one),converse(composition(top,complement(one)))))
| converse(composition(top,composition(complement(one),top))) = composition(top,composition(complement(one),composition(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_3609,refute_0_3610]) ).
cnf(refute_0_3612,plain,
converse(composition(top,composition(complement(one),top))) = composition(top,composition(complement(one),composition(top,complement(one)))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(top,composition(complement(one),converse(composition(top,complement(one)))))) )],[refute_0_3507,refute_0_3611]) ).
cnf(refute_0_3613,plain,
( converse(composition(top,composition(complement(one),top))) != composition(top,complement(one))
| converse(composition(top,composition(complement(one),top))) != composition(top,composition(complement(one),composition(top,complement(one))))
| composition(top,complement(one)) = composition(top,composition(complement(one),composition(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(top,composition(complement(one),composition(top,complement(one))))) ),[0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3614,plain,
( converse(composition(top,composition(complement(one),top))) != composition(top,composition(complement(one),composition(top,complement(one))))
| composition(top,complement(one)) = composition(top,composition(complement(one),composition(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(top,complement(one))) )],[refute_0_3598,refute_0_3613]) ).
cnf(refute_0_3615,plain,
composition(top,composition(top,composition(complement(one),complement(one)))) = composition(top,composition(complement(one),complement(one))),
inference(subst,[],[refute_0_2895:[bind(C,$fot(composition(complement(one),complement(one))))]]) ).
cnf(refute_0_3616,plain,
converse(composition(converse(A),composition(top,complement(one)))) = composition(converse(composition(top,complement(one))),A),
inference(subst,[],[refute_0_20:[bind(X_35,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_3617,plain,
( converse(composition(converse(A),composition(top,complement(one)))) != composition(converse(composition(top,complement(one))),A)
| converse(composition(top,complement(one))) != composition(top,complement(one))
| converse(composition(converse(A),composition(top,complement(one)))) = composition(composition(top,complement(one)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),composition(top,complement(one)))),composition(converse(composition(top,complement(one))),A)) ),[1,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3618,plain,
( converse(composition(converse(A),composition(top,complement(one)))) != composition(converse(composition(top,complement(one))),A)
| converse(composition(converse(A),composition(top,complement(one)))) = composition(composition(top,complement(one)),A) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_3609,refute_0_3617]) ).
cnf(refute_0_3619,plain,
converse(composition(converse(A),composition(top,complement(one)))) = composition(composition(top,complement(one)),A),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),composition(top,complement(one)))),composition(converse(composition(top,complement(one))),A)) )],[refute_0_3616,refute_0_3618]) ).
cnf(refute_0_3620,plain,
composition(converse(complement(one)),composition(top,A)) = composition(converse(complement(one)),composition(top,A)),
introduced(tautology,[refl,[$fot(composition(converse(complement(one)),composition(top,A)))]]) ).
cnf(refute_0_3621,plain,
( composition(converse(complement(one)),composition(top,A)) != composition(converse(complement(one)),composition(top,A))
| converse(complement(one)) != complement(one)
| composition(converse(complement(one)),composition(top,A)) = composition(complement(one),composition(top,A)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(one)),composition(top,A)),composition(converse(complement(one)),composition(top,A))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3622,plain,
( converse(complement(one)) != complement(one)
| composition(converse(complement(one)),composition(top,A)) = composition(complement(one),composition(top,A)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(one)),composition(top,A)),composition(converse(complement(one)),composition(top,A))) )],[refute_0_3620,refute_0_3621]) ).
cnf(refute_0_3623,plain,
composition(converse(complement(one)),composition(top,A)) = composition(complement(one),composition(top,A)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1443,refute_0_3622]) ).
cnf(refute_0_3624,plain,
composition(converse(X_172),composition(top,C)) = composition(composition(converse(X_172),top),C),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(converse(X_172))),bind(B,$fot(top))]]) ).
cnf(refute_0_3625,plain,
converse(composition(top,X_172)) = composition(converse(X_172),top),
inference(subst,[],[refute_0_2375:[bind(X_35,$fot(X_172))]]) ).
cnf(refute_0_3626,plain,
( converse(composition(top,X_172)) != composition(converse(X_172),top)
| composition(converse(X_172),top) = converse(composition(top,X_172)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(top,X_172)))),bind(Y,$fot(composition(converse(X_172),top)))]]) ).
cnf(refute_0_3627,plain,
composition(converse(X_172),top) = converse(composition(top,X_172)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_172)),composition(converse(X_172),top)) )],[refute_0_3625,refute_0_3626]) ).
cnf(refute_0_3628,plain,
( composition(converse(X_172),composition(top,C)) != composition(composition(converse(X_172),top),C)
| composition(converse(X_172),top) != converse(composition(top,X_172))
| composition(converse(X_172),composition(top,C)) = composition(converse(composition(top,X_172)),C) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_172),composition(top,C)),composition(composition(converse(X_172),top),C)) ),[1,0],$fot(converse(composition(top,X_172)))]]) ).
cnf(refute_0_3629,plain,
( composition(converse(X_172),composition(top,C)) != composition(composition(converse(X_172),top),C)
| composition(converse(X_172),composition(top,C)) = composition(converse(composition(top,X_172)),C) ),
inference(resolve,[$cnf( $equal(composition(converse(X_172),top),converse(composition(top,X_172))) )],[refute_0_3627,refute_0_3628]) ).
cnf(refute_0_3630,plain,
composition(converse(X_172),composition(top,C)) = composition(converse(composition(top,X_172)),C),
inference(resolve,[$cnf( $equal(composition(converse(X_172),composition(top,C)),composition(composition(converse(X_172),top),C)) )],[refute_0_3624,refute_0_3629]) ).
cnf(refute_0_3631,plain,
( composition(converse(X_172),composition(top,C)) != composition(converse(composition(top,X_172)),C)
| composition(converse(composition(top,X_172)),C) = composition(converse(X_172),composition(top,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(converse(X_172),composition(top,C)))),bind(Y,$fot(composition(converse(composition(top,X_172)),C)))]]) ).
cnf(refute_0_3632,plain,
composition(converse(composition(top,X_172)),C) = composition(converse(X_172),composition(top,C)),
inference(resolve,[$cnf( $equal(composition(converse(X_172),composition(top,C)),composition(converse(composition(top,X_172)),C)) )],[refute_0_3630,refute_0_3631]) ).
cnf(refute_0_3633,plain,
composition(converse(composition(top,complement(one))),A) = composition(converse(complement(one)),composition(top,A)),
inference(subst,[],[refute_0_3632:[bind(C,$fot(A)),bind(X_172,$fot(complement(one)))]]) ).
cnf(refute_0_3634,plain,
( composition(converse(composition(top,complement(one))),A) != composition(converse(complement(one)),composition(top,A))
| converse(composition(converse(A),composition(top,complement(one)))) != composition(converse(composition(top,complement(one))),A)
| converse(composition(converse(A),composition(top,complement(one)))) = composition(converse(complement(one)),composition(top,A)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(converse(A),composition(top,complement(one)))))),bind(Y,$fot(composition(converse(composition(top,complement(one))),A))),bind(Z,$fot(composition(converse(complement(one)),composition(top,A))))]]) ).
cnf(refute_0_3635,plain,
( composition(converse(composition(top,complement(one))),A) != composition(converse(complement(one)),composition(top,A))
| converse(composition(converse(A),composition(top,complement(one)))) = composition(converse(complement(one)),composition(top,A)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),composition(top,complement(one)))),composition(converse(composition(top,complement(one))),A)) )],[refute_0_3616,refute_0_3634]) ).
cnf(refute_0_3636,plain,
converse(composition(converse(A),composition(top,complement(one)))) = composition(converse(complement(one)),composition(top,A)),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(one))),A),composition(converse(complement(one)),composition(top,A))) )],[refute_0_3633,refute_0_3635]) ).
cnf(refute_0_3637,plain,
( composition(converse(complement(one)),composition(top,A)) != composition(complement(one),composition(top,A))
| converse(composition(converse(A),composition(top,complement(one)))) != composition(converse(complement(one)),composition(top,A))
| converse(composition(converse(A),composition(top,complement(one)))) = composition(complement(one),composition(top,A)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(converse(A),composition(top,complement(one)))))),bind(Y,$fot(composition(converse(complement(one)),composition(top,A)))),bind(Z,$fot(composition(complement(one),composition(top,A))))]]) ).
cnf(refute_0_3638,plain,
( composition(converse(complement(one)),composition(top,A)) != composition(complement(one),composition(top,A))
| converse(composition(converse(A),composition(top,complement(one)))) = composition(complement(one),composition(top,A)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),composition(top,complement(one)))),composition(converse(complement(one)),composition(top,A))) )],[refute_0_3636,refute_0_3637]) ).
cnf(refute_0_3639,plain,
converse(composition(converse(A),composition(top,complement(one)))) = composition(complement(one),composition(top,A)),
inference(resolve,[$cnf( $equal(composition(converse(complement(one)),composition(top,A)),composition(complement(one),composition(top,A))) )],[refute_0_3623,refute_0_3638]) ).
cnf(refute_0_3640,plain,
( converse(composition(converse(A),composition(top,complement(one)))) != composition(complement(one),composition(top,A))
| converse(composition(converse(A),composition(top,complement(one)))) != composition(composition(top,complement(one)),A)
| composition(complement(one),composition(top,A)) = composition(composition(top,complement(one)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),composition(top,complement(one)))),composition(composition(top,complement(one)),A)) ),[0],$fot(composition(complement(one),composition(top,A)))]]) ).
cnf(refute_0_3641,plain,
( converse(composition(converse(A),composition(top,complement(one)))) != composition(composition(top,complement(one)),A)
| composition(complement(one),composition(top,A)) = composition(composition(top,complement(one)),A) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),composition(top,complement(one)))),composition(complement(one),composition(top,A))) )],[refute_0_3639,refute_0_3640]) ).
cnf(refute_0_3642,plain,
composition(composition(top,complement(one)),A) = composition(top,composition(complement(one),A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(complement(one))),bind(C,$fot(A))]]) ).
cnf(refute_0_3643,plain,
( composition(complement(one),composition(top,A)) != composition(composition(top,complement(one)),A)
| composition(composition(top,complement(one)),A) != composition(top,composition(complement(one),A))
| composition(complement(one),composition(top,A)) = composition(top,composition(complement(one),A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(one),composition(top,A)),composition(top,composition(complement(one),A))) ),[0],$fot(composition(composition(top,complement(one)),A))]]) ).
cnf(refute_0_3644,plain,
( composition(complement(one),composition(top,A)) != composition(composition(top,complement(one)),A)
| composition(complement(one),composition(top,A)) = composition(top,composition(complement(one),A)) ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(one)),A),composition(top,composition(complement(one),A))) )],[refute_0_3642,refute_0_3643]) ).
cnf(refute_0_3645,plain,
( converse(composition(converse(A),composition(top,complement(one)))) != composition(composition(top,complement(one)),A)
| composition(complement(one),composition(top,A)) = composition(top,composition(complement(one),A)) ),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(top,A)),composition(composition(top,complement(one)),A)) )],[refute_0_3641,refute_0_3644]) ).
cnf(refute_0_3646,plain,
composition(complement(one),composition(top,A)) = composition(top,composition(complement(one),A)),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),composition(top,complement(one)))),composition(composition(top,complement(one)),A)) )],[refute_0_3619,refute_0_3645]) ).
cnf(refute_0_3647,plain,
composition(complement(one),composition(top,complement(one))) = composition(top,composition(complement(one),complement(one))),
inference(subst,[],[refute_0_3646:[bind(A,$fot(complement(one)))]]) ).
cnf(refute_0_3648,plain,
composition(top,composition(complement(one),composition(top,complement(one)))) = composition(top,composition(complement(one),composition(top,complement(one)))),
introduced(tautology,[refl,[$fot(composition(top,composition(complement(one),composition(top,complement(one)))))]]) ).
cnf(refute_0_3649,plain,
( composition(complement(one),composition(top,complement(one))) != composition(top,composition(complement(one),complement(one)))
| composition(top,composition(complement(one),composition(top,complement(one)))) != composition(top,composition(complement(one),composition(top,complement(one))))
| composition(top,composition(complement(one),composition(top,complement(one)))) = composition(top,composition(top,composition(complement(one),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(one),composition(top,complement(one)))),composition(top,composition(complement(one),composition(top,complement(one))))) ),[1,1],$fot(composition(top,composition(complement(one),complement(one))))]]) ).
cnf(refute_0_3650,plain,
( composition(complement(one),composition(top,complement(one))) != composition(top,composition(complement(one),complement(one)))
| composition(top,composition(complement(one),composition(top,complement(one)))) = composition(top,composition(top,composition(complement(one),complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),composition(top,complement(one)))),composition(top,composition(complement(one),composition(top,complement(one))))) )],[refute_0_3648,refute_0_3649]) ).
cnf(refute_0_3651,plain,
composition(top,composition(complement(one),composition(top,complement(one)))) = composition(top,composition(top,composition(complement(one),complement(one)))),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(top,complement(one))),composition(top,composition(complement(one),complement(one)))) )],[refute_0_3647,refute_0_3650]) ).
cnf(refute_0_3652,plain,
( composition(top,composition(complement(one),composition(top,complement(one)))) != composition(top,composition(top,composition(complement(one),complement(one))))
| composition(top,composition(top,composition(complement(one),complement(one)))) != composition(top,composition(complement(one),complement(one)))
| composition(top,composition(complement(one),composition(top,complement(one)))) = composition(top,composition(complement(one),complement(one))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,composition(complement(one),composition(top,complement(one)))))),bind(Y,$fot(composition(top,composition(top,composition(complement(one),complement(one)))))),bind(Z,$fot(composition(top,composition(complement(one),complement(one)))))]]) ).
cnf(refute_0_3653,plain,
( composition(top,composition(top,composition(complement(one),complement(one)))) != composition(top,composition(complement(one),complement(one)))
| composition(top,composition(complement(one),composition(top,complement(one)))) = composition(top,composition(complement(one),complement(one))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),composition(top,complement(one)))),composition(top,composition(top,composition(complement(one),complement(one))))) )],[refute_0_3651,refute_0_3652]) ).
cnf(refute_0_3654,plain,
composition(top,composition(complement(one),composition(top,complement(one)))) = composition(top,composition(complement(one),complement(one))),
inference(resolve,[$cnf( $equal(composition(top,composition(top,composition(complement(one),complement(one)))),composition(top,composition(complement(one),complement(one)))) )],[refute_0_3615,refute_0_3653]) ).
cnf(refute_0_3655,plain,
( composition(top,complement(one)) != composition(top,composition(complement(one),composition(top,complement(one))))
| composition(top,composition(complement(one),composition(top,complement(one)))) != composition(top,composition(complement(one),complement(one)))
| composition(top,complement(one)) = composition(top,composition(complement(one),complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,complement(one)),composition(top,composition(complement(one),complement(one)))) ),[0],$fot(composition(top,composition(complement(one),composition(top,complement(one)))))]]) ).
cnf(refute_0_3656,plain,
( composition(top,complement(one)) != composition(top,composition(complement(one),composition(top,complement(one))))
| composition(top,complement(one)) = composition(top,composition(complement(one),complement(one))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),composition(top,complement(one)))),composition(top,composition(complement(one),complement(one)))) )],[refute_0_3654,refute_0_3655]) ).
cnf(refute_0_3657,plain,
( converse(composition(top,composition(complement(one),top))) != composition(top,composition(complement(one),composition(top,complement(one))))
| composition(top,complement(one)) = composition(top,composition(complement(one),complement(one))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(one)),composition(top,composition(complement(one),composition(top,complement(one))))) )],[refute_0_3614,refute_0_3656]) ).
cnf(refute_0_3658,plain,
composition(top,complement(one)) = composition(top,composition(complement(one),complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(top,composition(complement(one),composition(top,complement(one))))) )],[refute_0_3612,refute_0_3657]) ).
cnf(refute_0_3659,plain,
( composition(top,complement(one)) != composition(top,composition(complement(one),complement(one)))
| composition(top,composition(complement(one),complement(one))) = composition(top,complement(one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,complement(one)))),bind(Y,$fot(composition(top,composition(complement(one),complement(one)))))]]) ).
cnf(refute_0_3660,plain,
composition(top,composition(complement(one),complement(one))) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(composition(top,complement(one)),composition(top,composition(complement(one),complement(one)))) )],[refute_0_3658,refute_0_3659]) ).
cnf(refute_0_3661,plain,
( composition(top,composition(complement(one),complement(one))) != composition(top,complement(one))
| join(converse(composition(top,composition(complement(one),complement(one)))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) != top
| join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,composition(complement(one),complement(one)))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),top) ),[0,0,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3662,plain,
( join(converse(composition(top,composition(complement(one),complement(one)))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) != top
| join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = top ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),complement(one))),composition(top,complement(one))) )],[refute_0_3660,refute_0_3661]) ).
cnf(refute_0_3663,plain,
join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = top,
inference(resolve,[$cnf( $equal(join(converse(composition(top,composition(complement(one),complement(one)))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),top) )],[refute_0_3416,refute_0_3662]) ).
cnf(refute_0_3664,plain,
composition(converse(complement(one)),composition(complement(one),complement(one))) = composition(converse(complement(one)),composition(complement(one),complement(one))),
introduced(tautology,[refl,[$fot(composition(converse(complement(one)),composition(complement(one),complement(one))))]]) ).
cnf(refute_0_3665,plain,
( composition(converse(complement(one)),composition(complement(one),complement(one))) != composition(converse(complement(one)),composition(complement(one),complement(one)))
| converse(complement(one)) != complement(one)
| composition(converse(complement(one)),composition(complement(one),complement(one))) = composition(complement(one),composition(complement(one),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(one)),composition(complement(one),complement(one))),composition(converse(complement(one)),composition(complement(one),complement(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3666,plain,
( converse(complement(one)) != complement(one)
| composition(converse(complement(one)),composition(complement(one),complement(one))) = composition(complement(one),composition(complement(one),complement(one))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(one)),composition(complement(one),complement(one))),composition(converse(complement(one)),composition(complement(one),complement(one)))) )],[refute_0_3664,refute_0_3665]) ).
cnf(refute_0_3667,plain,
composition(converse(complement(one)),composition(complement(one),complement(one))) = composition(complement(one),composition(complement(one),complement(one))),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1443,refute_0_3666]) ).
cnf(refute_0_3668,plain,
composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))) = composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))),
introduced(tautology,[refl,[$fot(composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))))]]) ).
cnf(refute_0_3669,plain,
( composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))) != composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one))))
| composition(converse(complement(one)),composition(complement(one),complement(one))) != composition(complement(one),composition(complement(one),complement(one)))
| composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))) = composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))),composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one))))) ),[1,1],$fot(composition(complement(one),composition(complement(one),complement(one))))]]) ).
cnf(refute_0_3670,plain,
( composition(converse(complement(one)),composition(complement(one),complement(one))) != composition(complement(one),composition(complement(one),complement(one)))
| composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))) = composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))),composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one))))) )],[refute_0_3668,refute_0_3669]) ).
cnf(refute_0_3671,plain,
composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))) = composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))),
inference(resolve,[$cnf( $equal(composition(converse(complement(one)),composition(complement(one),complement(one))),composition(complement(one),composition(complement(one),complement(one)))) )],[refute_0_3667,refute_0_3670]) ).
cnf(refute_0_3672,plain,
composition(complement(one),composition(converse(X_1064),C)) = composition(composition(complement(one),converse(X_1064)),C),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(complement(one))),bind(B,$fot(converse(X_1064)))]]) ).
cnf(refute_0_3673,plain,
converse(composition(A,complement(one))) = composition(converse(complement(one)),converse(A)),
inference(subst,[],[converse_multiplicativity_10:[bind(B,$fot(complement(one)))]]) ).
cnf(refute_0_3674,plain,
( converse(complement(one)) != complement(one)
| converse(composition(A,complement(one))) != composition(converse(complement(one)),converse(A))
| converse(composition(A,complement(one))) = composition(complement(one),converse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(A,complement(one))),composition(converse(complement(one)),converse(A))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3675,plain,
( converse(composition(A,complement(one))) != composition(converse(complement(one)),converse(A))
| converse(composition(A,complement(one))) = composition(complement(one),converse(A)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1443,refute_0_3674]) ).
cnf(refute_0_3676,plain,
converse(composition(A,complement(one))) = composition(complement(one),converse(A)),
inference(resolve,[$cnf( $equal(converse(composition(A,complement(one))),composition(converse(complement(one)),converse(A))) )],[refute_0_3673,refute_0_3675]) ).
cnf(refute_0_3677,plain,
converse(composition(X_1064,complement(one))) = composition(complement(one),converse(X_1064)),
inference(subst,[],[refute_0_3676:[bind(A,$fot(X_1064))]]) ).
cnf(refute_0_3678,plain,
( converse(composition(X_1064,complement(one))) != composition(complement(one),converse(X_1064))
| composition(complement(one),converse(X_1064)) = converse(composition(X_1064,complement(one))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_1064,complement(one))))),bind(Y,$fot(composition(complement(one),converse(X_1064))))]]) ).
cnf(refute_0_3679,plain,
composition(complement(one),converse(X_1064)) = converse(composition(X_1064,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(X_1064,complement(one))),composition(complement(one),converse(X_1064))) )],[refute_0_3677,refute_0_3678]) ).
cnf(refute_0_3680,plain,
( composition(complement(one),composition(converse(X_1064),C)) != composition(composition(complement(one),converse(X_1064)),C)
| composition(complement(one),converse(X_1064)) != converse(composition(X_1064,complement(one)))
| composition(complement(one),composition(converse(X_1064),C)) = composition(converse(composition(X_1064,complement(one))),C) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),composition(converse(X_1064),C)),composition(composition(complement(one),converse(X_1064)),C)) ),[1,0],$fot(converse(composition(X_1064,complement(one))))]]) ).
cnf(refute_0_3681,plain,
( composition(complement(one),composition(converse(X_1064),C)) != composition(composition(complement(one),converse(X_1064)),C)
| composition(complement(one),composition(converse(X_1064),C)) = composition(converse(composition(X_1064,complement(one))),C) ),
inference(resolve,[$cnf( $equal(composition(complement(one),converse(X_1064)),converse(composition(X_1064,complement(one)))) )],[refute_0_3679,refute_0_3680]) ).
cnf(refute_0_3682,plain,
composition(complement(one),composition(converse(X_1064),C)) = composition(converse(composition(X_1064,complement(one))),C),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(X_1064),C)),composition(composition(complement(one),converse(X_1064)),C)) )],[refute_0_3672,refute_0_3681]) ).
cnf(refute_0_3683,plain,
( composition(complement(one),composition(converse(X_1064),C)) != composition(converse(composition(X_1064,complement(one))),C)
| composition(converse(composition(X_1064,complement(one))),C) = composition(complement(one),composition(converse(X_1064),C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(complement(one),composition(converse(X_1064),C)))),bind(Y,$fot(composition(converse(composition(X_1064,complement(one))),C)))]]) ).
cnf(refute_0_3684,plain,
composition(converse(composition(X_1064,complement(one))),C) = composition(complement(one),composition(converse(X_1064),C)),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(X_1064),C)),composition(converse(composition(X_1064,complement(one))),C)) )],[refute_0_3682,refute_0_3683]) ).
cnf(refute_0_3685,plain,
composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))) = composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))),
inference(subst,[],[refute_0_3684:[bind(C,$fot(composition(complement(one),complement(one)))),bind(X_1064,$fot(complement(one)))]]) ).
cnf(refute_0_3686,plain,
( composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))) != composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))
| composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))) != composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one))))
| composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))) = composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))),bind(Y,$fot(composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))))),bind(Z,$fot(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))]]) ).
cnf(refute_0_3687,plain,
( composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))) != composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))
| composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))) = composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))),composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one))))) )],[refute_0_3685,refute_0_3686]) ).
cnf(refute_0_3688,plain,
composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))) = composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(complement(one)),composition(complement(one),complement(one)))),composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))) )],[refute_0_3671,refute_0_3687]) ).
cnf(refute_0_3689,plain,
complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))) = complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))),
introduced(tautology,[refl,[$fot(complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))]]) ).
cnf(refute_0_3690,plain,
( complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))) != complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))
| composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))) != composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))
| complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))) = complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))),complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))) ),[1,0],$fot(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))]]) ).
cnf(refute_0_3691,plain,
( composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))) != composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))
| complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))) = complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))),complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))) )],[refute_0_3689,refute_0_3690]) ).
cnf(refute_0_3692,plain,
complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))) = complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))),composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))) )],[refute_0_3688,refute_0_3691]) ).
cnf(refute_0_3693,plain,
composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))) = composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))),
introduced(tautology,[refl,[$fot(composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))))]]) ).
cnf(refute_0_3694,plain,
( complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))) != complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))
| composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))) != composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))
| composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))) = composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) ),[1,1],$fot(complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))]]) ).
cnf(refute_0_3695,plain,
( complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))) != complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))
| composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))) = composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) )],[refute_0_3693,refute_0_3694]) ).
cnf(refute_0_3696,plain,
composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))) = composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),
inference(resolve,[$cnf( $equal(complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))) )],[refute_0_3692,refute_0_3695]) ).
cnf(refute_0_3697,plain,
join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),
introduced(tautology,[refl,[$fot(join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))))]]) ).
cnf(refute_0_3698,plain,
( composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))) != composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))
| join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) != join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))))
| join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))))) ),[1,1],$fot(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))]]) ).
cnf(refute_0_3699,plain,
( composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))) != composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))
| join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))))) )],[refute_0_3697,refute_0_3698]) ).
cnf(refute_0_3700,plain,
join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) )],[refute_0_3696,refute_0_3699]) ).
cnf(refute_0_3701,plain,
join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),
introduced(tautology,[refl,[$fot(join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))))]]) ).
cnf(refute_0_3702,plain,
( converse(composition(top,complement(one))) != composition(top,complement(one))
| join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) != join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))))
| join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))))) ),[1,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3703,plain,
( converse(composition(top,complement(one))) != composition(top,complement(one))
| join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))))) )],[refute_0_3701,refute_0_3702]) ).
cnf(refute_0_3704,plain,
join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_3609,refute_0_3703]) ).
cnf(refute_0_3705,plain,
( join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) != join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) != join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))))
| join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))))),bind(Y,$fot(join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))))),bind(Z,$fot(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))]]) ).
cnf(refute_0_3706,plain,
( join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) != join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one))))))) )],[refute_0_3704,refute_0_3705]) ).
cnf(refute_0_3707,plain,
join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) = join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),
inference(resolve,[$cnf( $equal(join(composition(top,complement(one)),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) )],[refute_0_3700,refute_0_3706]) ).
cnf(refute_0_3708,plain,
( join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) != join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) != top
| join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),top) ),[0],$fot(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))]]) ).
cnf(refute_0_3709,plain,
( join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))) != top
| join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) )],[refute_0_3707,refute_0_3708]) ).
cnf(refute_0_3710,plain,
join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) = top,
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(one))),composition(top,complement(composition(converse(composition(complement(one),complement(one))),composition(complement(one),complement(one)))))),top) )],[refute_0_3663,refute_0_3709]) ).
cnf(refute_0_3711,plain,
( complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) != complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))
| join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) != top
| complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))),complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_3712,plain,
( complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) != complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))
| complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),top) )],[refute_0_3710,refute_0_3711]) ).
cnf(refute_0_3713,plain,
complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))),complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))) )],[refute_0_3384,refute_0_3712]) ).
cnf(refute_0_3714,plain,
converse(composition(complement(composition(top,complement(converse(X_183)))),top)) = composition(complement(complement(converse(X_183))),complement(converse(composition(top,complement(converse(X_183)))))),
inference(subst,[],[refute_0_3452:[bind(X_213,$fot(complement(converse(X_183))))]]) ).
cnf(refute_0_3715,plain,
( composition(top,complement(converse(X_183))) != converse(composition(complement(X_183),top))
| converse(composition(complement(composition(top,complement(converse(X_183)))),top)) != composition(complement(complement(converse(X_183))),complement(converse(composition(top,complement(converse(X_183))))))
| converse(composition(complement(composition(top,complement(converse(X_183)))),top)) = composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(converse(X_183)))),top)),composition(complement(complement(converse(X_183))),complement(converse(composition(top,complement(converse(X_183))))))) ),[1,1,0,0],$fot(converse(composition(complement(X_183),top)))]]) ).
cnf(refute_0_3716,plain,
( converse(composition(complement(composition(top,complement(converse(X_183)))),top)) != composition(complement(complement(converse(X_183))),complement(converse(composition(top,complement(converse(X_183))))))
| converse(composition(complement(composition(top,complement(converse(X_183)))),top)) = composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(X_183))),converse(composition(complement(X_183),top))) )],[refute_0_3352,refute_0_3715]) ).
cnf(refute_0_3717,plain,
converse(composition(complement(composition(top,complement(converse(X_183)))),top)) = composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(converse(X_183)))),top)),composition(complement(complement(converse(X_183))),complement(converse(composition(top,complement(converse(X_183))))))) )],[refute_0_3714,refute_0_3716]) ).
cnf(refute_0_3718,plain,
converse(converse(composition(top,complement(composition(complement(X_183),top))))) = composition(top,complement(composition(complement(X_183),top))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(top,complement(composition(complement(X_183),top)))))]]) ).
cnf(refute_0_3719,plain,
composition(complement(converse(composition(complement(X_183),top))),top) = converse(composition(top,complement(composition(complement(X_183),top)))),
inference(subst,[],[refute_0_3187:[bind(X_324,$fot(composition(complement(X_183),top)))]]) ).
cnf(refute_0_3720,plain,
complement(composition(top,complement(converse(X_183)))) = complement(composition(top,complement(converse(X_183)))),
introduced(tautology,[refl,[$fot(complement(composition(top,complement(converse(X_183)))))]]) ).
cnf(refute_0_3721,plain,
( complement(composition(top,complement(converse(X_183)))) != complement(composition(top,complement(converse(X_183))))
| composition(top,complement(converse(X_183))) != converse(composition(complement(X_183),top))
| complement(composition(top,complement(converse(X_183)))) = complement(converse(composition(complement(X_183),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,complement(converse(X_183)))),complement(composition(top,complement(converse(X_183))))) ),[1,0],$fot(converse(composition(complement(X_183),top)))]]) ).
cnf(refute_0_3722,plain,
( composition(top,complement(converse(X_183))) != converse(composition(complement(X_183),top))
| complement(composition(top,complement(converse(X_183)))) = complement(converse(composition(complement(X_183),top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(converse(X_183)))),complement(composition(top,complement(converse(X_183))))) )],[refute_0_3720,refute_0_3721]) ).
cnf(refute_0_3723,plain,
complement(composition(top,complement(converse(X_183)))) = complement(converse(composition(complement(X_183),top))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(X_183))),converse(composition(complement(X_183),top))) )],[refute_0_3352,refute_0_3722]) ).
cnf(refute_0_3724,plain,
composition(complement(composition(top,complement(converse(X_183)))),top) = composition(complement(composition(top,complement(converse(X_183)))),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(converse(X_183)))),top))]]) ).
cnf(refute_0_3725,plain,
( complement(composition(top,complement(converse(X_183)))) != complement(converse(composition(complement(X_183),top)))
| composition(complement(composition(top,complement(converse(X_183)))),top) != composition(complement(composition(top,complement(converse(X_183)))),top)
| composition(complement(composition(top,complement(converse(X_183)))),top) = composition(complement(converse(composition(complement(X_183),top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(converse(X_183)))),top),composition(complement(composition(top,complement(converse(X_183)))),top)) ),[1,0],$fot(complement(converse(composition(complement(X_183),top))))]]) ).
cnf(refute_0_3726,plain,
( complement(composition(top,complement(converse(X_183)))) != complement(converse(composition(complement(X_183),top)))
| composition(complement(composition(top,complement(converse(X_183)))),top) = composition(complement(converse(composition(complement(X_183),top))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(X_183)))),top),composition(complement(composition(top,complement(converse(X_183)))),top)) )],[refute_0_3724,refute_0_3725]) ).
cnf(refute_0_3727,plain,
composition(complement(composition(top,complement(converse(X_183)))),top) = composition(complement(converse(composition(complement(X_183),top))),top),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(converse(X_183)))),complement(converse(composition(complement(X_183),top)))) )],[refute_0_3723,refute_0_3726]) ).
cnf(refute_0_3728,plain,
( composition(complement(composition(top,complement(converse(X_183)))),top) != composition(complement(converse(composition(complement(X_183),top))),top)
| composition(complement(converse(composition(complement(X_183),top))),top) != converse(composition(top,complement(composition(complement(X_183),top))))
| composition(complement(composition(top,complement(converse(X_183)))),top) = converse(composition(top,complement(composition(complement(X_183),top)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(complement(composition(top,complement(converse(X_183)))),top))),bind(Y,$fot(composition(complement(converse(composition(complement(X_183),top))),top))),bind(Z,$fot(converse(composition(top,complement(composition(complement(X_183),top))))))]]) ).
cnf(refute_0_3729,plain,
( composition(complement(converse(composition(complement(X_183),top))),top) != converse(composition(top,complement(composition(complement(X_183),top))))
| composition(complement(composition(top,complement(converse(X_183)))),top) = converse(composition(top,complement(composition(complement(X_183),top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(X_183)))),top),composition(complement(converse(composition(complement(X_183),top))),top)) )],[refute_0_3727,refute_0_3728]) ).
cnf(refute_0_3730,plain,
composition(complement(composition(top,complement(converse(X_183)))),top) = converse(composition(top,complement(composition(complement(X_183),top)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(complement(X_183),top))),top),converse(composition(top,complement(composition(complement(X_183),top))))) )],[refute_0_3719,refute_0_3729]) ).
cnf(refute_0_3731,plain,
converse(composition(complement(composition(top,complement(converse(X_183)))),top)) = converse(composition(complement(composition(top,complement(converse(X_183)))),top)),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(top,complement(converse(X_183)))),top)))]]) ).
cnf(refute_0_3732,plain,
( composition(complement(composition(top,complement(converse(X_183)))),top) != converse(composition(top,complement(composition(complement(X_183),top))))
| converse(composition(complement(composition(top,complement(converse(X_183)))),top)) != converse(composition(complement(composition(top,complement(converse(X_183)))),top))
| converse(composition(complement(composition(top,complement(converse(X_183)))),top)) = converse(converse(composition(top,complement(composition(complement(X_183),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(converse(X_183)))),top)),converse(composition(complement(composition(top,complement(converse(X_183)))),top))) ),[1,0],$fot(converse(composition(top,complement(composition(complement(X_183),top)))))]]) ).
cnf(refute_0_3733,plain,
( composition(complement(composition(top,complement(converse(X_183)))),top) != converse(composition(top,complement(composition(complement(X_183),top))))
| converse(composition(complement(composition(top,complement(converse(X_183)))),top)) = converse(converse(composition(top,complement(composition(complement(X_183),top))))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(converse(X_183)))),top)),converse(composition(complement(composition(top,complement(converse(X_183)))),top))) )],[refute_0_3731,refute_0_3732]) ).
cnf(refute_0_3734,plain,
converse(composition(complement(composition(top,complement(converse(X_183)))),top)) = converse(converse(composition(top,complement(composition(complement(X_183),top))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(X_183)))),top),converse(composition(top,complement(composition(complement(X_183),top))))) )],[refute_0_3730,refute_0_3733]) ).
cnf(refute_0_3735,plain,
( converse(composition(complement(composition(top,complement(converse(X_183)))),top)) != converse(converse(composition(top,complement(composition(complement(X_183),top)))))
| converse(converse(composition(top,complement(composition(complement(X_183),top))))) != composition(top,complement(composition(complement(X_183),top)))
| converse(composition(complement(composition(top,complement(converse(X_183)))),top)) = composition(top,complement(composition(complement(X_183),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(complement(composition(top,complement(converse(X_183)))),top)))),bind(Y,$fot(converse(converse(composition(top,complement(composition(complement(X_183),top))))))),bind(Z,$fot(composition(top,complement(composition(complement(X_183),top)))))]]) ).
cnf(refute_0_3736,plain,
( converse(converse(composition(top,complement(composition(complement(X_183),top))))) != composition(top,complement(composition(complement(X_183),top)))
| converse(composition(complement(composition(top,complement(converse(X_183)))),top)) = composition(top,complement(composition(complement(X_183),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(converse(X_183)))),top)),converse(converse(composition(top,complement(composition(complement(X_183),top)))))) )],[refute_0_3734,refute_0_3735]) ).
cnf(refute_0_3737,plain,
converse(composition(complement(composition(top,complement(converse(X_183)))),top)) = composition(top,complement(composition(complement(X_183),top))),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(composition(complement(X_183),top))))),composition(top,complement(composition(complement(X_183),top)))) )],[refute_0_3718,refute_0_3736]) ).
cnf(refute_0_3738,plain,
( converse(composition(complement(composition(top,complement(converse(X_183)))),top)) != composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top)))))
| converse(composition(complement(composition(top,complement(converse(X_183)))),top)) != composition(top,complement(composition(complement(X_183),top)))
| composition(top,complement(composition(complement(X_183),top))) = composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(converse(X_183)))),top)),composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top)))))) ),[0],$fot(composition(top,complement(composition(complement(X_183),top))))]]) ).
cnf(refute_0_3739,plain,
( converse(composition(complement(composition(top,complement(converse(X_183)))),top)) != composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top)))))
| composition(top,complement(composition(complement(X_183),top))) = composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(converse(X_183)))),top)),composition(top,complement(composition(complement(X_183),top)))) )],[refute_0_3737,refute_0_3738]) ).
cnf(refute_0_3740,plain,
converse(converse(composition(complement(X_183),top))) = composition(complement(X_183),top),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(complement(X_183),top)))]]) ).
cnf(refute_0_3741,plain,
complement(converse(converse(composition(complement(X_183),top)))) = complement(converse(converse(composition(complement(X_183),top)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(complement(X_183),top)))))]]) ).
cnf(refute_0_3742,plain,
( complement(converse(converse(composition(complement(X_183),top)))) != complement(converse(converse(composition(complement(X_183),top))))
| converse(converse(composition(complement(X_183),top))) != composition(complement(X_183),top)
| complement(converse(converse(composition(complement(X_183),top)))) = complement(composition(complement(X_183),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(complement(X_183),top)))),complement(converse(converse(composition(complement(X_183),top))))) ),[1,0],$fot(composition(complement(X_183),top))]]) ).
cnf(refute_0_3743,plain,
( converse(converse(composition(complement(X_183),top))) != composition(complement(X_183),top)
| complement(converse(converse(composition(complement(X_183),top)))) = complement(composition(complement(X_183),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(complement(X_183),top)))),complement(converse(converse(composition(complement(X_183),top))))) )],[refute_0_3741,refute_0_3742]) ).
cnf(refute_0_3744,plain,
complement(converse(converse(composition(complement(X_183),top)))) = complement(composition(complement(X_183),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(X_183),top))),composition(complement(X_183),top)) )],[refute_0_3740,refute_0_3743]) ).
cnf(refute_0_3745,plain,
composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))) = composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))),
introduced(tautology,[refl,[$fot(composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))))]]) ).
cnf(refute_0_3746,plain,
( complement(converse(converse(composition(complement(X_183),top)))) != complement(composition(complement(X_183),top))
| composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))) != composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top)))))
| composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))) = composition(converse(X_183),complement(composition(complement(X_183),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))),composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top)))))) ),[1,1],$fot(complement(composition(complement(X_183),top)))]]) ).
cnf(refute_0_3747,plain,
( complement(converse(converse(composition(complement(X_183),top)))) != complement(composition(complement(X_183),top))
| composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))) = composition(converse(X_183),complement(composition(complement(X_183),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))),composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top)))))) )],[refute_0_3745,refute_0_3746]) ).
cnf(refute_0_3748,plain,
composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))) = composition(converse(X_183),complement(composition(complement(X_183),top))),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(complement(X_183),top)))),complement(composition(complement(X_183),top))) )],[refute_0_3744,refute_0_3747]) ).
cnf(refute_0_3749,plain,
complement(complement(converse(X_183))) = converse(X_183),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(converse(X_183)))]]) ).
cnf(refute_0_3750,plain,
composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) = composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))),
introduced(tautology,[refl,[$fot(composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))))]]) ).
cnf(refute_0_3751,plain,
( complement(complement(converse(X_183))) != converse(X_183)
| composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) != composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top)))))
| composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) = composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))),composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top)))))) ),[1,0],$fot(converse(X_183))]]) ).
cnf(refute_0_3752,plain,
( complement(complement(converse(X_183))) != converse(X_183)
| composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) = composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))),composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top)))))) )],[refute_0_3750,refute_0_3751]) ).
cnf(refute_0_3753,plain,
composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) = composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(X_183))),converse(X_183)) )],[refute_0_3749,refute_0_3752]) ).
cnf(refute_0_3754,plain,
( composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) != composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top)))))
| composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))) != composition(converse(X_183),complement(composition(complement(X_183),top)))
| composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) = composition(converse(X_183),complement(composition(complement(X_183),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))))),bind(Y,$fot(composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))))),bind(Z,$fot(composition(converse(X_183),complement(composition(complement(X_183),top)))))]]) ).
cnf(refute_0_3755,plain,
( composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))) != composition(converse(X_183),complement(composition(complement(X_183),top)))
| composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) = composition(converse(X_183),complement(composition(complement(X_183),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))),composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top)))))) )],[refute_0_3753,refute_0_3754]) ).
cnf(refute_0_3756,plain,
composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) = composition(converse(X_183),complement(composition(complement(X_183),top))),
inference(resolve,[$cnf( $equal(composition(converse(X_183),complement(converse(converse(composition(complement(X_183),top))))),composition(converse(X_183),complement(composition(complement(X_183),top)))) )],[refute_0_3748,refute_0_3755]) ).
cnf(refute_0_3757,plain,
( composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))) != composition(converse(X_183),complement(composition(complement(X_183),top)))
| composition(top,complement(composition(complement(X_183),top))) != composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top)))))
| composition(top,complement(composition(complement(X_183),top))) = composition(converse(X_183),complement(composition(complement(X_183),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(X_183),top))),composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top)))))) ),[1],$fot(composition(converse(X_183),complement(composition(complement(X_183),top))))]]) ).
cnf(refute_0_3758,plain,
( composition(top,complement(composition(complement(X_183),top))) != composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top)))))
| composition(top,complement(composition(complement(X_183),top))) = composition(converse(X_183),complement(composition(complement(X_183),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top))))),composition(converse(X_183),complement(composition(complement(X_183),top)))) )],[refute_0_3756,refute_0_3757]) ).
cnf(refute_0_3759,plain,
( converse(composition(complement(composition(top,complement(converse(X_183)))),top)) != composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top)))))
| composition(top,complement(composition(complement(X_183),top))) = composition(converse(X_183),complement(composition(complement(X_183),top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(X_183),top))),composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top)))))) )],[refute_0_3739,refute_0_3758]) ).
cnf(refute_0_3760,plain,
composition(top,complement(composition(complement(X_183),top))) = composition(converse(X_183),complement(composition(complement(X_183),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(converse(X_183)))),top)),composition(complement(complement(converse(X_183))),complement(converse(converse(composition(complement(X_183),top)))))) )],[refute_0_3717,refute_0_3759]) ).
cnf(refute_0_3761,plain,
composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) = composition(converse(meet(one,converse(X_1418))),complement(composition(complement(meet(one,converse(X_1418))),top))),
inference(subst,[],[refute_0_3760:[bind(X_183,$fot(meet(one,converse(X_1418))))]]) ).
cnf(refute_0_3762,plain,
converse(join(converse(complement(one)),X_5)) = join(complement(one),converse(X_5)),
inference(subst,[],[refute_0_93:[bind(A,$fot(complement(one)))]]) ).
cnf(refute_0_3763,plain,
( converse(complement(one)) != complement(one)
| converse(join(converse(complement(one)),X_5)) != join(complement(one),converse(X_5))
| converse(join(complement(one),X_5)) = join(complement(one),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),X_5)),join(complement(one),converse(X_5))) ),[0,0,0],$fot(complement(one))]]) ).
cnf(refute_0_3764,plain,
( converse(join(converse(complement(one)),X_5)) != join(complement(one),converse(X_5))
| converse(join(complement(one),X_5)) = join(complement(one),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1443,refute_0_3763]) ).
cnf(refute_0_3765,plain,
converse(join(complement(one),X_5)) = join(complement(one),converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),X_5)),join(complement(one),converse(X_5))) )],[refute_0_3762,refute_0_3764]) ).
cnf(refute_0_3766,plain,
converse(join(complement(one),complement(X_183))) = join(complement(one),converse(complement(X_183))),
inference(subst,[],[refute_0_3765:[bind(X_5,$fot(complement(X_183)))]]) ).
cnf(refute_0_3767,plain,
( converse(complement(X_183)) != complement(converse(X_183))
| converse(join(complement(one),complement(X_183))) != join(complement(one),converse(complement(X_183)))
| converse(join(complement(one),complement(X_183))) = join(complement(one),complement(converse(X_183))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(X_183))),join(complement(one),converse(complement(X_183)))) ),[1,1],$fot(complement(converse(X_183)))]]) ).
cnf(refute_0_3768,plain,
( converse(join(complement(one),complement(X_183))) != join(complement(one),converse(complement(X_183)))
| converse(join(complement(one),complement(X_183))) = join(complement(one),complement(converse(X_183))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_183)),complement(converse(X_183))) )],[refute_0_2565,refute_0_3767]) ).
cnf(refute_0_3769,plain,
converse(join(complement(one),complement(X_183))) = join(complement(one),complement(converse(X_183))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(X_183))),join(complement(one),converse(complement(X_183)))) )],[refute_0_3766,refute_0_3768]) ).
cnf(refute_0_3770,plain,
converse(complement(meet(one,X_183))) = complement(converse(meet(one,X_183))),
inference(subst,[],[refute_0_2565:[bind(X_183,$fot(meet(one,X_183)))]]) ).
cnf(refute_0_3771,plain,
join(complement(one),complement(X_183)) = complement(meet(one,X_183)),
inference(subst,[],[refute_0_356:[bind(A,$fot(one)),bind(B,$fot(X_183))]]) ).
cnf(refute_0_3772,plain,
converse(join(complement(one),complement(X_183))) = converse(join(complement(one),complement(X_183))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(X_183))))]]) ).
cnf(refute_0_3773,plain,
( converse(join(complement(one),complement(X_183))) != converse(join(complement(one),complement(X_183)))
| join(complement(one),complement(X_183)) != complement(meet(one,X_183))
| converse(join(complement(one),complement(X_183))) = converse(complement(meet(one,X_183))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(X_183))),converse(join(complement(one),complement(X_183)))) ),[1,0],$fot(complement(meet(one,X_183)))]]) ).
cnf(refute_0_3774,plain,
( join(complement(one),complement(X_183)) != complement(meet(one,X_183))
| converse(join(complement(one),complement(X_183))) = converse(complement(meet(one,X_183))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(X_183))),converse(join(complement(one),complement(X_183)))) )],[refute_0_3772,refute_0_3773]) ).
cnf(refute_0_3775,plain,
converse(join(complement(one),complement(X_183))) = converse(complement(meet(one,X_183))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(X_183)),complement(meet(one,X_183))) )],[refute_0_3771,refute_0_3774]) ).
cnf(refute_0_3776,plain,
( converse(complement(meet(one,X_183))) != complement(converse(meet(one,X_183)))
| converse(join(complement(one),complement(X_183))) != converse(complement(meet(one,X_183)))
| converse(join(complement(one),complement(X_183))) = complement(converse(meet(one,X_183))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(complement(one),complement(X_183))))),bind(Y,$fot(converse(complement(meet(one,X_183))))),bind(Z,$fot(complement(converse(meet(one,X_183)))))]]) ).
cnf(refute_0_3777,plain,
( converse(complement(meet(one,X_183))) != complement(converse(meet(one,X_183)))
| converse(join(complement(one),complement(X_183))) = complement(converse(meet(one,X_183))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(X_183))),converse(complement(meet(one,X_183)))) )],[refute_0_3775,refute_0_3776]) ).
cnf(refute_0_3778,plain,
converse(join(complement(one),complement(X_183))) = complement(converse(meet(one,X_183))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,X_183))),complement(converse(meet(one,X_183)))) )],[refute_0_3770,refute_0_3777]) ).
cnf(refute_0_3779,plain,
( converse(join(complement(one),complement(X_183))) != complement(converse(meet(one,X_183)))
| converse(join(complement(one),complement(X_183))) != join(complement(one),complement(converse(X_183)))
| complement(converse(meet(one,X_183))) = join(complement(one),complement(converse(X_183))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(X_183))),join(complement(one),complement(converse(X_183)))) ),[0],$fot(complement(converse(meet(one,X_183))))]]) ).
cnf(refute_0_3780,plain,
( converse(join(complement(one),complement(X_183))) != join(complement(one),complement(converse(X_183)))
| complement(converse(meet(one,X_183))) = join(complement(one),complement(converse(X_183))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(X_183))),complement(converse(meet(one,X_183)))) )],[refute_0_3778,refute_0_3779]) ).
cnf(refute_0_3781,plain,
join(complement(one),complement(converse(X_183))) = complement(meet(one,converse(X_183))),
inference(subst,[],[refute_0_356:[bind(A,$fot(one)),bind(B,$fot(converse(X_183)))]]) ).
cnf(refute_0_3782,plain,
( complement(converse(meet(one,X_183))) != join(complement(one),complement(converse(X_183)))
| join(complement(one),complement(converse(X_183))) != complement(meet(one,converse(X_183)))
| complement(converse(meet(one,X_183))) = complement(meet(one,converse(X_183))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,X_183))),complement(meet(one,converse(X_183)))) ),[0],$fot(join(complement(one),complement(converse(X_183))))]]) ).
cnf(refute_0_3783,plain,
( complement(converse(meet(one,X_183))) != join(complement(one),complement(converse(X_183)))
| complement(converse(meet(one,X_183))) = complement(meet(one,converse(X_183))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(X_183))),complement(meet(one,converse(X_183)))) )],[refute_0_3781,refute_0_3782]) ).
cnf(refute_0_3784,plain,
( converse(join(complement(one),complement(X_183))) != join(complement(one),complement(converse(X_183)))
| complement(converse(meet(one,X_183))) = complement(meet(one,converse(X_183))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,X_183))),join(complement(one),complement(converse(X_183)))) )],[refute_0_3780,refute_0_3783]) ).
cnf(refute_0_3785,plain,
complement(converse(meet(one,X_183))) = complement(meet(one,converse(X_183))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(X_183))),join(complement(one),complement(converse(X_183)))) )],[refute_0_3769,refute_0_3784]) ).
cnf(refute_0_3786,plain,
complement(converse(meet(one,X_1418))) = complement(meet(one,converse(X_1418))),
inference(subst,[],[refute_0_3785:[bind(X_183,$fot(X_1418))]]) ).
cnf(refute_0_3787,plain,
( complement(converse(meet(one,X_1418))) != complement(meet(one,converse(X_1418)))
| complement(meet(one,converse(X_1418))) = complement(converse(meet(one,X_1418))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(converse(meet(one,X_1418))))),bind(Y,$fot(complement(meet(one,converse(X_1418)))))]]) ).
cnf(refute_0_3788,plain,
complement(meet(one,converse(X_1418))) = complement(converse(meet(one,X_1418))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,X_1418))),complement(meet(one,converse(X_1418)))) )],[refute_0_3786,refute_0_3787]) ).
cnf(refute_0_3789,plain,
( complement(meet(one,converse(X_1418))) != complement(converse(meet(one,X_1418)))
| composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) != composition(converse(meet(one,converse(X_1418))),complement(composition(complement(meet(one,converse(X_1418))),top)))
| composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) = composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))),composition(converse(meet(one,converse(X_1418))),complement(composition(complement(meet(one,converse(X_1418))),top)))) ),[1,1,0,0],$fot(complement(converse(meet(one,X_1418))))]]) ).
cnf(refute_0_3790,plain,
( composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) != composition(converse(meet(one,converse(X_1418))),complement(composition(complement(meet(one,converse(X_1418))),top)))
| composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) = composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(X_1418))),complement(converse(meet(one,X_1418)))) )],[refute_0_3788,refute_0_3789]) ).
cnf(refute_0_3791,plain,
composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) = composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))),composition(converse(meet(one,converse(X_1418))),complement(composition(complement(meet(one,converse(X_1418))),top)))) )],[refute_0_3761,refute_0_3790]) ).
cnf(refute_0_3792,plain,
composition(complement(converse(meet(one,X_1418))),top) = converse(composition(top,complement(meet(one,X_1418)))),
inference(subst,[],[refute_0_3187:[bind(X_324,$fot(meet(one,X_1418)))]]) ).
cnf(refute_0_3793,plain,
composition(complement(meet(one,converse(X_1418))),top) = composition(complement(meet(one,converse(X_1418))),top),
introduced(tautology,[refl,[$fot(composition(complement(meet(one,converse(X_1418))),top))]]) ).
cnf(refute_0_3794,plain,
( complement(meet(one,converse(X_1418))) != complement(converse(meet(one,X_1418)))
| composition(complement(meet(one,converse(X_1418))),top) != composition(complement(meet(one,converse(X_1418))),top)
| composition(complement(meet(one,converse(X_1418))),top) = composition(complement(converse(meet(one,X_1418))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(meet(one,converse(X_1418))),top),composition(complement(meet(one,converse(X_1418))),top)) ),[1,0],$fot(complement(converse(meet(one,X_1418))))]]) ).
cnf(refute_0_3795,plain,
( complement(meet(one,converse(X_1418))) != complement(converse(meet(one,X_1418)))
| composition(complement(meet(one,converse(X_1418))),top) = composition(complement(converse(meet(one,X_1418))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(one,converse(X_1418))),top),composition(complement(meet(one,converse(X_1418))),top)) )],[refute_0_3793,refute_0_3794]) ).
cnf(refute_0_3796,plain,
composition(complement(meet(one,converse(X_1418))),top) = composition(complement(converse(meet(one,X_1418))),top),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(X_1418))),complement(converse(meet(one,X_1418)))) )],[refute_0_3788,refute_0_3795]) ).
cnf(refute_0_3797,plain,
( composition(complement(converse(meet(one,X_1418))),top) != converse(composition(top,complement(meet(one,X_1418))))
| composition(complement(meet(one,converse(X_1418))),top) != composition(complement(converse(meet(one,X_1418))),top)
| composition(complement(meet(one,converse(X_1418))),top) = converse(composition(top,complement(meet(one,X_1418)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(complement(meet(one,converse(X_1418))),top))),bind(Y,$fot(composition(complement(converse(meet(one,X_1418))),top))),bind(Z,$fot(converse(composition(top,complement(meet(one,X_1418))))))]]) ).
cnf(refute_0_3798,plain,
( composition(complement(converse(meet(one,X_1418))),top) != converse(composition(top,complement(meet(one,X_1418))))
| composition(complement(meet(one,converse(X_1418))),top) = converse(composition(top,complement(meet(one,X_1418)))) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(one,converse(X_1418))),top),composition(complement(converse(meet(one,X_1418))),top)) )],[refute_0_3796,refute_0_3797]) ).
cnf(refute_0_3799,plain,
composition(complement(meet(one,converse(X_1418))),top) = converse(composition(top,complement(meet(one,X_1418)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(meet(one,X_1418))),top),converse(composition(top,complement(meet(one,X_1418))))) )],[refute_0_3792,refute_0_3798]) ).
cnf(refute_0_3800,plain,
complement(composition(complement(meet(one,converse(X_1418))),top)) = complement(composition(complement(meet(one,converse(X_1418))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(meet(one,converse(X_1418))),top)))]]) ).
cnf(refute_0_3801,plain,
( complement(composition(complement(meet(one,converse(X_1418))),top)) != complement(composition(complement(meet(one,converse(X_1418))),top))
| composition(complement(meet(one,converse(X_1418))),top) != converse(composition(top,complement(meet(one,X_1418))))
| complement(composition(complement(meet(one,converse(X_1418))),top)) = complement(converse(composition(top,complement(meet(one,X_1418))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(meet(one,converse(X_1418))),top)),complement(composition(complement(meet(one,converse(X_1418))),top))) ),[1,0],$fot(converse(composition(top,complement(meet(one,X_1418)))))]]) ).
cnf(refute_0_3802,plain,
( composition(complement(meet(one,converse(X_1418))),top) != converse(composition(top,complement(meet(one,X_1418))))
| complement(composition(complement(meet(one,converse(X_1418))),top)) = complement(converse(composition(top,complement(meet(one,X_1418))))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(meet(one,converse(X_1418))),top)),complement(composition(complement(meet(one,converse(X_1418))),top))) )],[refute_0_3800,refute_0_3801]) ).
cnf(refute_0_3803,plain,
complement(composition(complement(meet(one,converse(X_1418))),top)) = complement(converse(composition(top,complement(meet(one,X_1418))))),
inference(resolve,[$cnf( $equal(composition(complement(meet(one,converse(X_1418))),top),converse(composition(top,complement(meet(one,X_1418))))) )],[refute_0_3799,refute_0_3802]) ).
cnf(refute_0_3804,plain,
composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) = join(complement(composition(top,composition(X_176,top))),composition(converse(X_176),complement(composition(top,composition(X_176,top))))),
inference(subst,[],[refute_0_57:[bind(X_147,$fot(converse(X_176))),bind(X_149,$fot(complement(composition(top,composition(X_176,top)))))]]) ).
cnf(refute_0_3805,plain,
( composition(converse(X_176),complement(composition(top,composition(X_176,top)))) != zero
| composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) != join(complement(composition(top,composition(X_176,top))),composition(converse(X_176),complement(composition(top,composition(X_176,top)))))
| composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) = join(complement(composition(top,composition(X_176,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))),join(complement(composition(top,composition(X_176,top))),composition(converse(X_176),complement(composition(top,composition(X_176,top)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3806,plain,
( composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) != join(complement(composition(top,composition(X_176,top))),composition(converse(X_176),complement(composition(top,composition(X_176,top)))))
| composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) = join(complement(composition(top,composition(X_176,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(X_176),complement(composition(top,composition(X_176,top)))),zero) )],[refute_0_3128,refute_0_3805]) ).
cnf(refute_0_3807,plain,
composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) = join(complement(composition(top,composition(X_176,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))),join(complement(composition(top,composition(X_176,top))),composition(converse(X_176),complement(composition(top,composition(X_176,top)))))) )],[refute_0_3804,refute_0_3806]) ).
cnf(refute_0_3808,plain,
join(one,converse(X_176)) = converse(join(one,X_176)),
inference(subst,[],[refute_0_1258:[bind(X_5,$fot(X_176))]]) ).
cnf(refute_0_3809,plain,
composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))) = composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))))]]) ).
cnf(refute_0_3810,plain,
( composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))) != composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top))))
| join(one,converse(X_176)) != converse(join(one,X_176))
| composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))) = composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))),composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top))))) ),[1,0],$fot(converse(join(one,X_176)))]]) ).
cnf(refute_0_3811,plain,
( join(one,converse(X_176)) != converse(join(one,X_176))
| composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))) = composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))),composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top))))) )],[refute_0_3809,refute_0_3810]) ).
cnf(refute_0_3812,plain,
composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))) = composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))),
inference(resolve,[$cnf( $equal(join(one,converse(X_176)),converse(join(one,X_176))) )],[refute_0_3808,refute_0_3811]) ).
cnf(refute_0_3813,plain,
composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) = composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))),
inference(subst,[],[refute_0_79:[bind(X_150,$fot(converse(X_176))),bind(X_151,$fot(complement(composition(top,composition(X_176,top)))))]]) ).
cnf(refute_0_3814,plain,
( composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) != composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top))))
| composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))) != composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top))))
| composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) = composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))))),bind(Y,$fot(composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))))),bind(Z,$fot(composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top))))))]]) ).
cnf(refute_0_3815,plain,
( composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))) != composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top))))
| composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) = composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))),composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top))))) )],[refute_0_3813,refute_0_3814]) ).
cnf(refute_0_3816,plain,
composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) = composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X_176)),complement(composition(top,composition(X_176,top)))),composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top))))) )],[refute_0_3812,refute_0_3815]) ).
cnf(refute_0_3817,plain,
( composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) != composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top))))
| composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) != join(complement(composition(top,composition(X_176,top))),zero)
| composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))) = join(complement(composition(top,composition(X_176,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))),join(complement(composition(top,composition(X_176,top))),zero)) ),[0],$fot(composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))))]]) ).
cnf(refute_0_3818,plain,
( composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) != join(complement(composition(top,composition(X_176,top))),zero)
| composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))) = join(complement(composition(top,composition(X_176,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))),composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top))))) )],[refute_0_3816,refute_0_3817]) ).
cnf(refute_0_3819,plain,
join(complement(composition(top,composition(X_176,top))),zero) = complement(composition(top,composition(X_176,top))),
inference(subst,[],[refute_0_1072:[bind(X_41,$fot(complement(composition(top,composition(X_176,top)))))]]) ).
cnf(refute_0_3820,plain,
( composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))) != join(complement(composition(top,composition(X_176,top))),zero)
| join(complement(composition(top,composition(X_176,top))),zero) != complement(composition(top,composition(X_176,top)))
| composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))) = complement(composition(top,composition(X_176,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))),complement(composition(top,composition(X_176,top)))) ),[0],$fot(join(complement(composition(top,composition(X_176,top))),zero))]]) ).
cnf(refute_0_3821,plain,
( composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))) != join(complement(composition(top,composition(X_176,top))),zero)
| composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))) = complement(composition(top,composition(X_176,top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(X_176,top))),zero),complement(composition(top,composition(X_176,top)))) )],[refute_0_3819,refute_0_3820]) ).
cnf(refute_0_3822,plain,
( composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))) != join(complement(composition(top,composition(X_176,top))),zero)
| composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))) = complement(composition(top,composition(X_176,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))),join(complement(composition(top,composition(X_176,top))),zero)) )],[refute_0_3818,refute_0_3821]) ).
cnf(refute_0_3823,plain,
composition(converse(join(one,X_176)),complement(composition(top,composition(X_176,top)))) = complement(composition(top,composition(X_176,top))),
inference(resolve,[$cnf( $equal(composition(join(converse(X_176),one),complement(composition(top,composition(X_176,top)))),join(complement(composition(top,composition(X_176,top))),zero)) )],[refute_0_3807,refute_0_3822]) ).
cnf(refute_0_3824,plain,
composition(converse(join(one,composition(top,complement(meet(one,X_1270))))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))),
inference(subst,[],[refute_0_3823:[bind(X_176,$fot(composition(top,complement(meet(one,X_1270)))))]]) ).
cnf(refute_0_3825,plain,
converse(converse(join(one,composition(top,complement(meet(X_875,one)))))) = join(one,composition(top,complement(meet(X_875,one)))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(one,composition(top,complement(meet(X_875,one))))))]]) ).
cnf(refute_0_3826,plain,
join(one,join(composition(complement(converse(composition(top,complement(one)))),top),X_121)) = join(join(one,composition(complement(converse(composition(top,complement(one)))),top)),X_121),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(one)),bind(B,$fot(composition(complement(converse(composition(top,complement(one)))),top))),bind(C,$fot(X_121))]]) ).
cnf(refute_0_3827,plain,
join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(composition(complement(one),complement(converse(composition(top,complement(one))))))))) = one,
inference(subst,[],[refute_0_1463:[bind(X_106,$fot(complement(converse(composition(top,complement(one))))))]]) ).
cnf(refute_0_3828,plain,
composition(complement(one),complement(converse(composition(top,complement(one))))) = zero,
inference(subst,[],[refute_0_2414:[bind(A,$fot(complement(one)))]]) ).
cnf(refute_0_3829,plain,
( composition(complement(one),complement(converse(composition(top,complement(one))))) != zero
| join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(composition(complement(one),complement(converse(composition(top,complement(one))))))))) != one
| join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(composition(complement(one),complement(converse(composition(top,complement(one))))))))),one) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_3830,plain,
( join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(composition(complement(one),complement(converse(composition(top,complement(one))))))))) != one
| join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) = one ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(converse(composition(top,complement(one))))),zero) )],[refute_0_3828,refute_0_3829]) ).
cnf(refute_0_3831,plain,
join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) = one,
inference(resolve,[$cnf( $equal(join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(composition(complement(one),complement(converse(composition(top,complement(one))))))))),one) )],[refute_0_3827,refute_0_3830]) ).
cnf(refute_0_3832,plain,
composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))) = composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))))]]) ).
cnf(refute_0_3833,plain,
( complement(converse(zero)) != top
| composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))) != composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))
| composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))) = composition(complement(converse(composition(top,complement(one)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))),composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3834,plain,
( complement(converse(zero)) != top
| composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))) = composition(complement(converse(composition(top,complement(one)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))),composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) )],[refute_0_3832,refute_0_3833]) ).
cnf(refute_0_3835,plain,
composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))) = composition(complement(converse(composition(top,complement(one)))),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2246,refute_0_3834]) ).
cnf(refute_0_3836,plain,
join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) = join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))))]]) ).
cnf(refute_0_3837,plain,
( composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))) != composition(complement(converse(composition(top,complement(one)))),top)
| join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) != join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))))
| join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) = join(one,composition(complement(converse(composition(top,complement(one)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))),join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))))) ),[1,1],$fot(composition(complement(converse(composition(top,complement(one)))),top))]]) ).
cnf(refute_0_3838,plain,
( composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))) != composition(complement(converse(composition(top,complement(one)))),top)
| join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) = join(one,composition(complement(converse(composition(top,complement(one)))),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))),join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))))) )],[refute_0_3836,refute_0_3837]) ).
cnf(refute_0_3839,plain,
join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) = join(one,composition(complement(converse(composition(top,complement(one)))),top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(one)))),complement(converse(zero))),composition(complement(converse(composition(top,complement(one)))),top)) )],[refute_0_3835,refute_0_3838]) ).
cnf(refute_0_3840,plain,
( join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) != join(one,composition(complement(converse(composition(top,complement(one)))),top))
| join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) != one
| join(one,composition(complement(converse(composition(top,complement(one)))),top)) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))),one) ),[0],$fot(join(one,composition(complement(converse(composition(top,complement(one)))),top)))]]) ).
cnf(refute_0_3841,plain,
( join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))) != one
| join(one,composition(complement(converse(composition(top,complement(one)))),top)) = one ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))),join(one,composition(complement(converse(composition(top,complement(one)))),top))) )],[refute_0_3839,refute_0_3840]) ).
cnf(refute_0_3842,plain,
join(one,composition(complement(converse(composition(top,complement(one)))),top)) = one,
inference(resolve,[$cnf( $equal(join(one,composition(complement(converse(composition(top,complement(one)))),complement(converse(zero)))),one) )],[refute_0_3831,refute_0_3841]) ).
cnf(refute_0_3843,plain,
( join(one,composition(complement(converse(composition(top,complement(one)))),top)) != one
| join(one,join(composition(complement(converse(composition(top,complement(one)))),top),X_121)) != join(join(one,composition(complement(converse(composition(top,complement(one)))),top)),X_121)
| join(one,join(composition(complement(converse(composition(top,complement(one)))),top),X_121)) = join(one,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(composition(complement(converse(composition(top,complement(one)))),top),X_121)),join(join(one,composition(complement(converse(composition(top,complement(one)))),top)),X_121)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3844,plain,
( join(one,join(composition(complement(converse(composition(top,complement(one)))),top),X_121)) != join(join(one,composition(complement(converse(composition(top,complement(one)))),top)),X_121)
| join(one,join(composition(complement(converse(composition(top,complement(one)))),top),X_121)) = join(one,X_121) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(converse(composition(top,complement(one)))),top)),one) )],[refute_0_3842,refute_0_3843]) ).
cnf(refute_0_3845,plain,
join(one,join(composition(complement(converse(composition(top,complement(one)))),top),X_121)) = join(one,X_121),
inference(resolve,[$cnf( $equal(join(one,join(composition(complement(converse(composition(top,complement(one)))),top),X_121)),join(join(one,composition(complement(converse(composition(top,complement(one)))),top)),X_121)) )],[refute_0_3826,refute_0_3844]) ).
cnf(refute_0_3846,plain,
join(one,join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top))) = join(one,composition(X_148,top)),
inference(subst,[],[refute_0_3845:[bind(X_121,$fot(composition(X_148,top)))]]) ).
cnf(refute_0_3847,plain,
composition(join(complement(converse(composition(top,complement(one)))),X_148),top) = join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(complement(converse(composition(top,complement(one)))))),bind(B,$fot(X_148)),bind(C,$fot(top))]]) ).
cnf(refute_0_3848,plain,
( composition(join(complement(converse(composition(top,complement(one)))),X_148),top) != join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top))
| join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top)) = composition(join(complement(converse(composition(top,complement(one)))),X_148),top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(complement(converse(composition(top,complement(one)))),X_148),top))),bind(Y,$fot(join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top))))]]) ).
cnf(refute_0_3849,plain,
join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top)) = composition(join(complement(converse(composition(top,complement(one)))),X_148),top),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(composition(top,complement(one)))),X_148),top),join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top))) )],[refute_0_3847,refute_0_3848]) ).
cnf(refute_0_3850,plain,
( join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top)) != composition(join(complement(converse(composition(top,complement(one)))),X_148),top)
| join(one,join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top))) != join(one,composition(X_148,top))
| join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) = join(one,composition(X_148,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top))),join(one,composition(X_148,top))) ),[0,1],$fot(composition(join(complement(converse(composition(top,complement(one)))),X_148),top))]]) ).
cnf(refute_0_3851,plain,
( join(one,join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top))) != join(one,composition(X_148,top))
| join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) = join(one,composition(X_148,top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top)),composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) )],[refute_0_3849,refute_0_3850]) ).
cnf(refute_0_3852,plain,
join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) = join(one,composition(X_148,top)),
inference(resolve,[$cnf( $equal(join(one,join(composition(complement(converse(composition(top,complement(one)))),top),composition(X_148,top))),join(one,composition(X_148,top))) )],[refute_0_3846,refute_0_3851]) ).
cnf(refute_0_3853,plain,
complement(converse(composition(top,complement(one)))) = complement(converse(composition(top,complement(one)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(one)))))]]) ).
cnf(refute_0_3854,plain,
( complement(converse(composition(top,complement(one)))) != complement(converse(composition(top,complement(one))))
| converse(composition(top,complement(one))) != composition(complement(one),top)
| complement(converse(composition(top,complement(one)))) = complement(composition(complement(one),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(converse(composition(top,complement(one))))) ),[1,0],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_3855,plain,
( converse(composition(top,complement(one))) != composition(complement(one),top)
| complement(converse(composition(top,complement(one)))) = complement(composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(converse(composition(top,complement(one))))) )],[refute_0_3853,refute_0_3854]) ).
cnf(refute_0_3856,plain,
complement(converse(composition(top,complement(one)))) = complement(composition(complement(one),top)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) )],[refute_0_3511,refute_0_3855]) ).
cnf(refute_0_3857,plain,
join(complement(converse(composition(top,complement(one)))),X_148) = join(complement(converse(composition(top,complement(one)))),X_148),
introduced(tautology,[refl,[$fot(join(complement(converse(composition(top,complement(one)))),X_148))]]) ).
cnf(refute_0_3858,plain,
( complement(converse(composition(top,complement(one)))) != complement(composition(complement(one),top))
| join(complement(converse(composition(top,complement(one)))),X_148) != join(complement(converse(composition(top,complement(one)))),X_148)
| join(complement(converse(composition(top,complement(one)))),X_148) = join(complement(composition(complement(one),top)),X_148) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,complement(one)))),X_148),join(complement(converse(composition(top,complement(one)))),X_148)) ),[1,0],$fot(complement(composition(complement(one),top)))]]) ).
cnf(refute_0_3859,plain,
( complement(converse(composition(top,complement(one)))) != complement(composition(complement(one),top))
| join(complement(converse(composition(top,complement(one)))),X_148) = join(complement(composition(complement(one),top)),X_148) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,complement(one)))),X_148),join(complement(converse(composition(top,complement(one)))),X_148)) )],[refute_0_3857,refute_0_3858]) ).
cnf(refute_0_3860,plain,
join(complement(converse(composition(top,complement(one)))),X_148) = join(complement(composition(complement(one),top)),X_148),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(composition(complement(one),top))) )],[refute_0_3856,refute_0_3859]) ).
cnf(refute_0_3861,plain,
composition(join(complement(converse(composition(top,complement(one)))),X_148),top) = composition(join(complement(converse(composition(top,complement(one)))),X_148),top),
introduced(tautology,[refl,[$fot(composition(join(complement(converse(composition(top,complement(one)))),X_148),top))]]) ).
cnf(refute_0_3862,plain,
( composition(join(complement(converse(composition(top,complement(one)))),X_148),top) != composition(join(complement(converse(composition(top,complement(one)))),X_148),top)
| join(complement(converse(composition(top,complement(one)))),X_148) != join(complement(composition(complement(one),top)),X_148)
| composition(join(complement(converse(composition(top,complement(one)))),X_148),top) = composition(join(complement(composition(complement(one),top)),X_148),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(converse(composition(top,complement(one)))),X_148),top),composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) ),[1,0],$fot(join(complement(composition(complement(one),top)),X_148))]]) ).
cnf(refute_0_3863,plain,
( join(complement(converse(composition(top,complement(one)))),X_148) != join(complement(composition(complement(one),top)),X_148)
| composition(join(complement(converse(composition(top,complement(one)))),X_148),top) = composition(join(complement(composition(complement(one),top)),X_148),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(composition(top,complement(one)))),X_148),top),composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) )],[refute_0_3861,refute_0_3862]) ).
cnf(refute_0_3864,plain,
composition(join(complement(converse(composition(top,complement(one)))),X_148),top) = composition(join(complement(composition(complement(one),top)),X_148),top),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,complement(one)))),X_148),join(complement(composition(complement(one),top)),X_148)) )],[refute_0_3860,refute_0_3863]) ).
cnf(refute_0_3865,plain,
join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) = join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)),
introduced(tautology,[refl,[$fot(join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)))]]) ).
cnf(refute_0_3866,plain,
( composition(join(complement(converse(composition(top,complement(one)))),X_148),top) != composition(join(complement(composition(complement(one),top)),X_148),top)
| join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) != join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top))
| join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) = join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)),join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top))) ),[1,1],$fot(composition(join(complement(composition(complement(one),top)),X_148),top))]]) ).
cnf(refute_0_3867,plain,
( composition(join(complement(converse(composition(top,complement(one)))),X_148),top) != composition(join(complement(composition(complement(one),top)),X_148),top)
| join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) = join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)),join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top))) )],[refute_0_3865,refute_0_3866]) ).
cnf(refute_0_3868,plain,
join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) = join(one,composition(join(complement(composition(complement(one),top)),X_148),top)),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(composition(top,complement(one)))),X_148),top),composition(join(complement(composition(complement(one),top)),X_148),top)) )],[refute_0_3864,refute_0_3867]) ).
cnf(refute_0_3869,plain,
( join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) != join(one,composition(X_148,top))
| join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) != join(one,composition(join(complement(composition(complement(one),top)),X_148),top))
| join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) = join(one,composition(X_148,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)),join(one,composition(X_148,top))) ),[0],$fot(join(one,composition(join(complement(composition(complement(one),top)),X_148),top)))]]) ).
cnf(refute_0_3870,plain,
( join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)) != join(one,composition(X_148,top))
| join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) = join(one,composition(X_148,top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)),join(one,composition(join(complement(composition(complement(one),top)),X_148),top))) )],[refute_0_3868,refute_0_3869]) ).
cnf(refute_0_3871,plain,
join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) = join(one,composition(X_148,top)),
inference(resolve,[$cnf( $equal(join(one,composition(join(complement(converse(composition(top,complement(one)))),X_148),top)),join(one,composition(X_148,top))) )],[refute_0_3852,refute_0_3870]) ).
cnf(refute_0_3872,plain,
complement(composition(complement(one),top)) = complement(composition(complement(one),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(one),top)))]]) ).
cnf(refute_0_3873,plain,
( complement(composition(complement(one),top)) != complement(composition(complement(one),top))
| composition(complement(one),top) != composition(top,complement(one))
| complement(composition(complement(one),top)) = complement(composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(one),top)),complement(composition(complement(one),top))) ),[1,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3874,plain,
( composition(complement(one),top) != composition(top,complement(one))
| complement(composition(complement(one),top)) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(one),top)),complement(composition(complement(one),top))) )],[refute_0_3872,refute_0_3873]) ).
cnf(refute_0_3875,plain,
complement(composition(complement(one),top)) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(composition(complement(one),top),composition(top,complement(one))) )],[refute_0_3606,refute_0_3874]) ).
cnf(refute_0_3876,plain,
join(complement(composition(complement(one),top)),X_148) = join(complement(composition(complement(one),top)),X_148),
introduced(tautology,[refl,[$fot(join(complement(composition(complement(one),top)),X_148))]]) ).
cnf(refute_0_3877,plain,
( complement(composition(complement(one),top)) != complement(composition(top,complement(one)))
| join(complement(composition(complement(one),top)),X_148) != join(complement(composition(complement(one),top)),X_148)
| join(complement(composition(complement(one),top)),X_148) = join(complement(composition(top,complement(one))),X_148) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(complement(one),top)),X_148),join(complement(composition(complement(one),top)),X_148)) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).
cnf(refute_0_3878,plain,
( complement(composition(complement(one),top)) != complement(composition(top,complement(one)))
| join(complement(composition(complement(one),top)),X_148) = join(complement(composition(top,complement(one))),X_148) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(one),top)),X_148),join(complement(composition(complement(one),top)),X_148)) )],[refute_0_3876,refute_0_3877]) ).
cnf(refute_0_3879,plain,
join(complement(composition(complement(one),top)),X_148) = join(complement(composition(top,complement(one))),X_148),
inference(resolve,[$cnf( $equal(complement(composition(complement(one),top)),complement(composition(top,complement(one)))) )],[refute_0_3875,refute_0_3878]) ).
cnf(refute_0_3880,plain,
composition(join(complement(composition(complement(one),top)),X_148),top) = composition(join(complement(composition(complement(one),top)),X_148),top),
introduced(tautology,[refl,[$fot(composition(join(complement(composition(complement(one),top)),X_148),top))]]) ).
cnf(refute_0_3881,plain,
( composition(join(complement(composition(complement(one),top)),X_148),top) != composition(join(complement(composition(complement(one),top)),X_148),top)
| join(complement(composition(complement(one),top)),X_148) != join(complement(composition(top,complement(one))),X_148)
| composition(join(complement(composition(complement(one),top)),X_148),top) = composition(join(complement(composition(top,complement(one))),X_148),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(composition(complement(one),top)),X_148),top),composition(join(complement(composition(complement(one),top)),X_148),top)) ),[1,0],$fot(join(complement(composition(top,complement(one))),X_148))]]) ).
cnf(refute_0_3882,plain,
( join(complement(composition(complement(one),top)),X_148) != join(complement(composition(top,complement(one))),X_148)
| composition(join(complement(composition(complement(one),top)),X_148),top) = composition(join(complement(composition(top,complement(one))),X_148),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(complement(one),top)),X_148),top),composition(join(complement(composition(complement(one),top)),X_148),top)) )],[refute_0_3880,refute_0_3881]) ).
cnf(refute_0_3883,plain,
composition(join(complement(composition(complement(one),top)),X_148),top) = composition(join(complement(composition(top,complement(one))),X_148),top),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(one),top)),X_148),join(complement(composition(top,complement(one))),X_148)) )],[refute_0_3879,refute_0_3882]) ).
cnf(refute_0_3884,plain,
join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) = join(one,composition(join(complement(composition(complement(one),top)),X_148),top)),
introduced(tautology,[refl,[$fot(join(one,composition(join(complement(composition(complement(one),top)),X_148),top)))]]) ).
cnf(refute_0_3885,plain,
( composition(join(complement(composition(complement(one),top)),X_148),top) != composition(join(complement(composition(top,complement(one))),X_148),top)
| join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) != join(one,composition(join(complement(composition(complement(one),top)),X_148),top))
| join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) = join(one,composition(join(complement(composition(top,complement(one))),X_148),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(complement(composition(complement(one),top)),X_148),top)),join(one,composition(join(complement(composition(complement(one),top)),X_148),top))) ),[1,1],$fot(composition(join(complement(composition(top,complement(one))),X_148),top))]]) ).
cnf(refute_0_3886,plain,
( composition(join(complement(composition(complement(one),top)),X_148),top) != composition(join(complement(composition(top,complement(one))),X_148),top)
| join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) = join(one,composition(join(complement(composition(top,complement(one))),X_148),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(complement(composition(complement(one),top)),X_148),top)),join(one,composition(join(complement(composition(complement(one),top)),X_148),top))) )],[refute_0_3884,refute_0_3885]) ).
cnf(refute_0_3887,plain,
join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) = join(one,composition(join(complement(composition(top,complement(one))),X_148),top)),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(complement(one),top)),X_148),top),composition(join(complement(composition(top,complement(one))),X_148),top)) )],[refute_0_3883,refute_0_3886]) ).
cnf(refute_0_3888,plain,
( join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) != join(one,composition(X_148,top))
| join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) != join(one,composition(join(complement(composition(top,complement(one))),X_148),top))
| join(one,composition(join(complement(composition(top,complement(one))),X_148),top)) = join(one,composition(X_148,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(complement(composition(complement(one),top)),X_148),top)),join(one,composition(X_148,top))) ),[0],$fot(join(one,composition(join(complement(composition(top,complement(one))),X_148),top)))]]) ).
cnf(refute_0_3889,plain,
( join(one,composition(join(complement(composition(complement(one),top)),X_148),top)) != join(one,composition(X_148,top))
| join(one,composition(join(complement(composition(top,complement(one))),X_148),top)) = join(one,composition(X_148,top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(complement(composition(complement(one),top)),X_148),top)),join(one,composition(join(complement(composition(top,complement(one))),X_148),top))) )],[refute_0_3887,refute_0_3888]) ).
cnf(refute_0_3890,plain,
join(one,composition(join(complement(composition(top,complement(one))),X_148),top)) = join(one,composition(X_148,top)),
inference(resolve,[$cnf( $equal(join(one,composition(join(complement(composition(complement(one),top)),X_148),top)),join(one,composition(X_148,top))) )],[refute_0_3871,refute_0_3889]) ).
cnf(refute_0_3891,plain,
join(one,composition(join(complement(composition(top,complement(one))),join(B,composition(top,complement(join(complement(composition(top,complement(one))),B))))),top)) = join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)),
inference(subst,[],[refute_0_3890:[bind(X_148,$fot(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B))))))]]) ).
cnf(refute_0_3892,plain,
join(A,join(B,composition(top,complement(join(A,B))))) = join(join(A,B),composition(top,complement(join(A,B)))),
inference(subst,[],[maddux2_join_associativity_2:[bind(C,$fot(composition(top,complement(join(A,B)))))]]) ).
cnf(refute_0_3893,plain,
join(join(A,B),composition(top,complement(join(A,B)))) = top,
inference(subst,[],[refute_0_3258:[bind(X_119,$fot(join(A,B)))]]) ).
cnf(refute_0_3894,plain,
( join(A,join(B,composition(top,complement(join(A,B))))) != join(join(A,B),composition(top,complement(join(A,B))))
| join(join(A,B),composition(top,complement(join(A,B)))) != top
| join(A,join(B,composition(top,complement(join(A,B))))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(A,join(B,composition(top,complement(join(A,B))))),top) ),[0],$fot(join(join(A,B),composition(top,complement(join(A,B)))))]]) ).
cnf(refute_0_3895,plain,
( join(A,join(B,composition(top,complement(join(A,B))))) != join(join(A,B),composition(top,complement(join(A,B))))
| join(A,join(B,composition(top,complement(join(A,B))))) = top ),
inference(resolve,[$cnf( $equal(join(join(A,B),composition(top,complement(join(A,B)))),top) )],[refute_0_3893,refute_0_3894]) ).
cnf(refute_0_3896,plain,
join(A,join(B,composition(top,complement(join(A,B))))) = top,
inference(resolve,[$cnf( $equal(join(A,join(B,composition(top,complement(join(A,B))))),join(join(A,B),composition(top,complement(join(A,B))))) )],[refute_0_3892,refute_0_3895]) ).
cnf(refute_0_3897,plain,
join(complement(composition(top,complement(one))),join(B,composition(top,complement(join(complement(composition(top,complement(one))),B))))) = top,
inference(subst,[],[refute_0_3896:[bind(A,$fot(complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_3898,plain,
( join(complement(composition(top,complement(one))),join(B,composition(top,complement(join(complement(composition(top,complement(one))),B))))) != top
| join(one,composition(join(complement(composition(top,complement(one))),join(B,composition(top,complement(join(complement(composition(top,complement(one))),B))))),top)) != join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))
| join(one,composition(top,top)) = join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(complement(composition(top,complement(one))),join(B,composition(top,complement(join(complement(composition(top,complement(one))),B))))),top)),join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_3899,plain,
( join(one,composition(join(complement(composition(top,complement(one))),join(B,composition(top,complement(join(complement(composition(top,complement(one))),B))))),top)) != join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))
| join(one,composition(top,top)) = join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),join(B,composition(top,complement(join(complement(composition(top,complement(one))),B))))),top) )],[refute_0_3897,refute_0_3898]) ).
cnf(refute_0_3900,plain,
join(one,composition(top,top)) = join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)),
inference(resolve,[$cnf( $equal(join(one,composition(join(complement(composition(top,complement(one))),join(B,composition(top,complement(join(complement(composition(top,complement(one))),B))))),top)),join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))) )],[refute_0_3891,refute_0_3899]) ).
cnf(refute_0_3901,plain,
join(one,composition(top,top)) = join(one,composition(top,top)),
introduced(tautology,[refl,[$fot(join(one,composition(top,top)))]]) ).
cnf(refute_0_3902,plain,
( composition(top,top) != top
| join(one,composition(top,top)) != join(one,composition(top,top))
| join(one,composition(top,top)) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(top,top)),join(one,composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3903,plain,
( composition(top,top) != top
| join(one,composition(top,top)) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(one,composition(top,top)),join(one,composition(top,top))) )],[refute_0_3901,refute_0_3902]) ).
cnf(refute_0_3904,plain,
join(one,composition(top,top)) = join(one,top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_2892,refute_0_3903]) ).
cnf(refute_0_3905,plain,
( join(one,composition(top,top)) != join(one,top)
| join(one,top) != top
| join(one,composition(top,top)) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(one,composition(top,top)))),bind(Y,$fot(join(one,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3906,plain,
( join(one,top) != top
| join(one,composition(top,top)) = top ),
inference(resolve,[$cnf( $equal(join(one,composition(top,top)),join(one,top)) )],[refute_0_3904,refute_0_3905]) ).
cnf(refute_0_3907,plain,
join(one,composition(top,top)) = top,
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2871,refute_0_3906]) ).
cnf(refute_0_3908,plain,
( join(one,composition(top,top)) != join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))
| join(one,composition(top,top)) != top
| top = join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(top,top)),join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))) ),[0],$fot(top)]]) ).
cnf(refute_0_3909,plain,
( join(one,composition(top,top)) != join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))
| top = join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(top,top)),top) )],[refute_0_3907,refute_0_3908]) ).
cnf(refute_0_3910,plain,
complement(join(complement(composition(top,complement(one))),B)) = meet(composition(top,complement(one)),complement(B)),
inference(subst,[],[refute_0_1846:[bind(X_361,$fot(composition(top,complement(one)))),bind(X_363,$fot(B))]]) ).
cnf(refute_0_3911,plain,
composition(top,complement(join(complement(composition(top,complement(one))),B))) = composition(top,complement(join(complement(composition(top,complement(one))),B))),
introduced(tautology,[refl,[$fot(composition(top,complement(join(complement(composition(top,complement(one))),B))))]]) ).
cnf(refute_0_3912,plain,
( complement(join(complement(composition(top,complement(one))),B)) != meet(composition(top,complement(one)),complement(B))
| composition(top,complement(join(complement(composition(top,complement(one))),B))) != composition(top,complement(join(complement(composition(top,complement(one))),B)))
| composition(top,complement(join(complement(composition(top,complement(one))),B))) = composition(top,meet(composition(top,complement(one)),complement(B))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(join(complement(composition(top,complement(one))),B))),composition(top,complement(join(complement(composition(top,complement(one))),B)))) ),[1,1],$fot(meet(composition(top,complement(one)),complement(B)))]]) ).
cnf(refute_0_3913,plain,
( complement(join(complement(composition(top,complement(one))),B)) != meet(composition(top,complement(one)),complement(B))
| composition(top,complement(join(complement(composition(top,complement(one))),B))) = composition(top,meet(composition(top,complement(one)),complement(B))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(join(complement(composition(top,complement(one))),B))),composition(top,complement(join(complement(composition(top,complement(one))),B)))) )],[refute_0_3911,refute_0_3912]) ).
cnf(refute_0_3914,plain,
composition(top,complement(join(complement(composition(top,complement(one))),B))) = composition(top,meet(composition(top,complement(one)),complement(B))),
inference(resolve,[$cnf( $equal(complement(join(complement(composition(top,complement(one))),B)),meet(composition(top,complement(one)),complement(B))) )],[refute_0_3910,refute_0_3913]) ).
cnf(refute_0_3915,plain,
join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))) = join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),
introduced(tautology,[refl,[$fot(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))))]]) ).
cnf(refute_0_3916,plain,
( composition(top,complement(join(complement(composition(top,complement(one))),B))) != composition(top,meet(composition(top,complement(one)),complement(B)))
| join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))) != join(B,composition(top,complement(join(complement(composition(top,complement(one))),B))))
| join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))) = join(B,composition(top,meet(composition(top,complement(one)),complement(B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),join(B,composition(top,complement(join(complement(composition(top,complement(one))),B))))) ),[1,1],$fot(composition(top,meet(composition(top,complement(one)),complement(B))))]]) ).
cnf(refute_0_3917,plain,
( composition(top,complement(join(complement(composition(top,complement(one))),B))) != composition(top,meet(composition(top,complement(one)),complement(B)))
| join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))) = join(B,composition(top,meet(composition(top,complement(one)),complement(B)))) ),
inference(resolve,[$cnf( $equal(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),join(B,composition(top,complement(join(complement(composition(top,complement(one))),B))))) )],[refute_0_3915,refute_0_3916]) ).
cnf(refute_0_3918,plain,
join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))) = join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),
inference(resolve,[$cnf( $equal(composition(top,complement(join(complement(composition(top,complement(one))),B))),composition(top,meet(composition(top,complement(one)),complement(B)))) )],[refute_0_3914,refute_0_3917]) ).
cnf(refute_0_3919,plain,
composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top) = composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top),
introduced(tautology,[refl,[$fot(composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))]]) ).
cnf(refute_0_3920,plain,
( composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top) != composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)
| join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))) != join(B,composition(top,meet(composition(top,complement(one)),complement(B))))
| composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top) = composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top),composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)) ),[1,0],$fot(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))))]]) ).
cnf(refute_0_3921,plain,
( join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))) != join(B,composition(top,meet(composition(top,complement(one)),complement(B))))
| composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top) = composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top) ),
inference(resolve,[$cnf( $equal(composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top),composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)) )],[refute_0_3919,refute_0_3920]) ).
cnf(refute_0_3922,plain,
composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top) = composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top),
inference(resolve,[$cnf( $equal(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),join(B,composition(top,meet(composition(top,complement(one)),complement(B))))) )],[refute_0_3918,refute_0_3921]) ).
cnf(refute_0_3923,plain,
join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)) = join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)),
introduced(tautology,[refl,[$fot(join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)))]]) ).
cnf(refute_0_3924,plain,
( composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top) != composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top)
| join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)) != join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))
| join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)) = join(one,composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)),join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))) ),[1,1],$fot(composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top))]]) ).
cnf(refute_0_3925,plain,
( composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top) != composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top)
| join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)) = join(one,composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)),join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))) )],[refute_0_3923,refute_0_3924]) ).
cnf(refute_0_3926,plain,
join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)) = join(one,composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top)),
inference(resolve,[$cnf( $equal(composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top),composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top)) )],[refute_0_3922,refute_0_3925]) ).
cnf(refute_0_3927,plain,
( join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)) != join(one,composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top))
| top != join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))
| top = join(one,composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))) ),[1],$fot(join(one,composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top)))]]) ).
cnf(refute_0_3928,plain,
( top != join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))
| top = join(one,composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top)),join(one,composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top))) )],[refute_0_3926,refute_0_3927]) ).
cnf(refute_0_3929,plain,
( join(one,composition(top,top)) != join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))
| top = join(one,composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top)) ),
inference(resolve,[$cnf( $equal(top,join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))) )],[refute_0_3909,refute_0_3928]) ).
cnf(refute_0_3930,plain,
top = join(one,composition(join(B,composition(top,meet(composition(top,complement(one)),complement(B)))),top)),
inference(resolve,[$cnf( $equal(join(one,composition(top,top)),join(one,composition(join(B,composition(top,complement(join(complement(composition(top,complement(one))),B)))),top))) )],[refute_0_3900,refute_0_3929]) ).
cnf(refute_0_3931,plain,
top = join(one,composition(join(complement(X_25),composition(top,meet(composition(top,complement(one)),complement(complement(X_25))))),top)),
inference(subst,[],[refute_0_3930:[bind(B,$fot(complement(X_25)))]]) ).
cnf(refute_0_3932,plain,
( complement(complement(X_25)) != X_25
| top != join(one,composition(join(complement(X_25),composition(top,meet(composition(top,complement(one)),complement(complement(X_25))))),top))
| top = join(one,composition(join(complement(X_25),composition(top,meet(composition(top,complement(one)),X_25))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,composition(join(complement(X_25),composition(top,meet(composition(top,complement(one)),complement(complement(X_25))))),top))) ),[1,1,0,1,1,1],$fot(X_25)]]) ).
cnf(refute_0_3933,plain,
( top != join(one,composition(join(complement(X_25),composition(top,meet(composition(top,complement(one)),complement(complement(X_25))))),top))
| top = join(one,composition(join(complement(X_25),composition(top,meet(composition(top,complement(one)),X_25))),top)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_3932]) ).
cnf(refute_0_3934,plain,
top = join(one,composition(join(complement(X_25),composition(top,meet(composition(top,complement(one)),X_25))),top)),
inference(resolve,[$cnf( $equal(top,join(one,composition(join(complement(X_25),composition(top,meet(composition(top,complement(one)),complement(complement(X_25))))),top))) )],[refute_0_3931,refute_0_3933]) ).
cnf(refute_0_3935,plain,
top = join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205)))),top)),
inference(subst,[],[refute_0_3934:[bind(X_25,$fot(join(composition(top,composition(top,complement(one))),X_205)))]]) ).
cnf(refute_0_3936,plain,
X_41 = join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(join(complement(X_41),join(composition(top,complement(complement(X_41))),X_205)))),
inference(subst,[],[refute_0_214:[bind(X_42,$fot(join(composition(top,complement(complement(X_41))),X_205)))]]) ).
cnf(refute_0_3937,plain,
join(complement(X_41),join(composition(top,complement(complement(X_41))),X_205)) = top,
inference(subst,[],[refute_0_3393:[bind(A,$fot(complement(X_41))),bind(C,$fot(X_205))]]) ).
cnf(refute_0_3938,plain,
( X_41 != join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(join(complement(X_41),join(composition(top,complement(complement(X_41))),X_205))))
| join(complement(X_41),join(composition(top,complement(complement(X_41))),X_205)) != top
| X_41 = join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(join(complement(X_41),join(composition(top,complement(complement(X_41))),X_205))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_3939,plain,
( X_41 != join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(join(complement(X_41),join(composition(top,complement(complement(X_41))),X_205))))
| X_41 = join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),join(composition(top,complement(complement(X_41))),X_205)),top) )],[refute_0_3937,refute_0_3938]) ).
cnf(refute_0_3940,plain,
X_41 = join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)),
inference(resolve,[$cnf( $equal(X_41,join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(join(complement(X_41),join(composition(top,complement(complement(X_41))),X_205))))) )],[refute_0_3936,refute_0_3939]) ).
cnf(refute_0_3941,plain,
join(zero,meet(X_41,join(composition(top,X_41),X_205))) = meet(X_41,join(composition(top,X_41),X_205)),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(X_41,join(composition(top,X_41),X_205))))]]) ).
cnf(refute_0_3942,plain,
composition(top,complement(complement(X_41))) = composition(top,complement(complement(X_41))),
introduced(tautology,[refl,[$fot(composition(top,complement(complement(X_41))))]]) ).
cnf(refute_0_3943,plain,
( complement(complement(X_41)) != X_41
| composition(top,complement(complement(X_41))) != composition(top,complement(complement(X_41)))
| composition(top,complement(complement(X_41))) = composition(top,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(complement(X_41))),composition(top,complement(complement(X_41)))) ),[1,1],$fot(X_41)]]) ).
cnf(refute_0_3944,plain,
( complement(complement(X_41)) != X_41
| composition(top,complement(complement(X_41))) = composition(top,X_41) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(X_41))),composition(top,complement(complement(X_41)))) )],[refute_0_3942,refute_0_3943]) ).
cnf(refute_0_3945,plain,
composition(top,complement(complement(X_41))) = composition(top,X_41),
inference(resolve,[$cnf( $equal(complement(complement(X_41)),X_41) )],[refute_0_1181,refute_0_3944]) ).
cnf(refute_0_3946,plain,
join(composition(top,complement(complement(X_41))),X_205) = join(composition(top,complement(complement(X_41))),X_205),
introduced(tautology,[refl,[$fot(join(composition(top,complement(complement(X_41))),X_205))]]) ).
cnf(refute_0_3947,plain,
( composition(top,complement(complement(X_41))) != composition(top,X_41)
| join(composition(top,complement(complement(X_41))),X_205) != join(composition(top,complement(complement(X_41))),X_205)
| join(composition(top,complement(complement(X_41))),X_205) = join(composition(top,X_41),X_205) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,complement(complement(X_41))),X_205),join(composition(top,complement(complement(X_41))),X_205)) ),[1,0],$fot(composition(top,X_41))]]) ).
cnf(refute_0_3948,plain,
( composition(top,complement(complement(X_41))) != composition(top,X_41)
| join(composition(top,complement(complement(X_41))),X_205) = join(composition(top,X_41),X_205) ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(complement(X_41))),X_205),join(composition(top,complement(complement(X_41))),X_205)) )],[refute_0_3946,refute_0_3947]) ).
cnf(refute_0_3949,plain,
join(composition(top,complement(complement(X_41))),X_205) = join(composition(top,X_41),X_205),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(X_41))),composition(top,X_41)) )],[refute_0_3945,refute_0_3948]) ).
cnf(refute_0_3950,plain,
meet(X_41,join(composition(top,complement(complement(X_41))),X_205)) = meet(X_41,join(composition(top,complement(complement(X_41))),X_205)),
introduced(tautology,[refl,[$fot(meet(X_41,join(composition(top,complement(complement(X_41))),X_205)))]]) ).
cnf(refute_0_3951,plain,
( join(composition(top,complement(complement(X_41))),X_205) != join(composition(top,X_41),X_205)
| meet(X_41,join(composition(top,complement(complement(X_41))),X_205)) != meet(X_41,join(composition(top,complement(complement(X_41))),X_205))
| meet(X_41,join(composition(top,complement(complement(X_41))),X_205)) = meet(X_41,join(composition(top,X_41),X_205)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_41,join(composition(top,complement(complement(X_41))),X_205)),meet(X_41,join(composition(top,complement(complement(X_41))),X_205))) ),[1,1],$fot(join(composition(top,X_41),X_205))]]) ).
cnf(refute_0_3952,plain,
( join(composition(top,complement(complement(X_41))),X_205) != join(composition(top,X_41),X_205)
| meet(X_41,join(composition(top,complement(complement(X_41))),X_205)) = meet(X_41,join(composition(top,X_41),X_205)) ),
inference(resolve,[$cnf( $equal(meet(X_41,join(composition(top,complement(complement(X_41))),X_205)),meet(X_41,join(composition(top,complement(complement(X_41))),X_205))) )],[refute_0_3950,refute_0_3951]) ).
cnf(refute_0_3953,plain,
meet(X_41,join(composition(top,complement(complement(X_41))),X_205)) = meet(X_41,join(composition(top,X_41),X_205)),
inference(resolve,[$cnf( $equal(join(composition(top,complement(complement(X_41))),X_205),join(composition(top,X_41),X_205)) )],[refute_0_3949,refute_0_3952]) ).
cnf(refute_0_3954,plain,
meet(join(composition(top,complement(complement(X_41))),X_205),X_41) = meet(X_41,join(composition(top,complement(complement(X_41))),X_205)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(X_41)),bind(X_16,$fot(join(composition(top,complement(complement(X_41))),X_205)))]]) ).
cnf(refute_0_3955,plain,
( meet(X_41,join(composition(top,complement(complement(X_41))),X_205)) != meet(X_41,join(composition(top,X_41),X_205))
| meet(join(composition(top,complement(complement(X_41))),X_205),X_41) != meet(X_41,join(composition(top,complement(complement(X_41))),X_205))
| meet(join(composition(top,complement(complement(X_41))),X_205),X_41) = meet(X_41,join(composition(top,X_41),X_205)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(composition(top,complement(complement(X_41))),X_205),X_41))),bind(Y,$fot(meet(X_41,join(composition(top,complement(complement(X_41))),X_205)))),bind(Z,$fot(meet(X_41,join(composition(top,X_41),X_205))))]]) ).
cnf(refute_0_3956,plain,
( meet(X_41,join(composition(top,complement(complement(X_41))),X_205)) != meet(X_41,join(composition(top,X_41),X_205))
| meet(join(composition(top,complement(complement(X_41))),X_205),X_41) = meet(X_41,join(composition(top,X_41),X_205)) ),
inference(resolve,[$cnf( $equal(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),meet(X_41,join(composition(top,complement(complement(X_41))),X_205))) )],[refute_0_3954,refute_0_3955]) ).
cnf(refute_0_3957,plain,
meet(join(composition(top,complement(complement(X_41))),X_205),X_41) = meet(X_41,join(composition(top,X_41),X_205)),
inference(resolve,[$cnf( $equal(meet(X_41,join(composition(top,complement(complement(X_41))),X_205)),meet(X_41,join(composition(top,X_41),X_205))) )],[refute_0_3953,refute_0_3956]) ).
cnf(refute_0_3958,plain,
join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)))]]) ).
cnf(refute_0_3959,plain,
( join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) != join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41))
| meet(join(composition(top,complement(complement(X_41))),X_205),X_41) != meet(X_41,join(composition(top,X_41),X_205))
| join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = join(zero,meet(X_41,join(composition(top,X_41),X_205))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)),join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41))) ),[1,1],$fot(meet(X_41,join(composition(top,X_41),X_205)))]]) ).
cnf(refute_0_3960,plain,
( meet(join(composition(top,complement(complement(X_41))),X_205),X_41) != meet(X_41,join(composition(top,X_41),X_205))
| join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = join(zero,meet(X_41,join(composition(top,X_41),X_205))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)),join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41))) )],[refute_0_3958,refute_0_3959]) ).
cnf(refute_0_3961,plain,
join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = join(zero,meet(X_41,join(composition(top,X_41),X_205))),
inference(resolve,[$cnf( $equal(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),meet(X_41,join(composition(top,X_41),X_205))) )],[refute_0_3957,refute_0_3960]) ).
cnf(refute_0_3962,plain,
join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)))]]) ).
cnf(refute_0_3963,plain,
( complement(top) != zero
| join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) != join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41))
| join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)),join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3964,plain,
( complement(top) != zero
| join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)),join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41))) )],[refute_0_3962,refute_0_3963]) ).
cnf(refute_0_3965,plain,
join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_3964]) ).
cnf(refute_0_3966,plain,
( join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) != join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41))
| join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) != join(zero,meet(X_41,join(composition(top,X_41),X_205)))
| join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = join(zero,meet(X_41,join(composition(top,X_41),X_205))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)))),bind(Y,$fot(join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)))),bind(Z,$fot(join(zero,meet(X_41,join(composition(top,X_41),X_205)))))]]) ).
cnf(refute_0_3967,plain,
( join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) != join(zero,meet(X_41,join(composition(top,X_41),X_205)))
| join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = join(zero,meet(X_41,join(composition(top,X_41),X_205))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)),join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41))) )],[refute_0_3965,refute_0_3966]) ).
cnf(refute_0_3968,plain,
join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = join(zero,meet(X_41,join(composition(top,X_41),X_205))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(composition(top,complement(complement(X_41))),X_205),X_41)),join(zero,meet(X_41,join(composition(top,X_41),X_205)))) )],[refute_0_3961,refute_0_3967]) ).
cnf(refute_0_3969,plain,
( join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) != join(zero,meet(X_41,join(composition(top,X_41),X_205)))
| join(zero,meet(X_41,join(composition(top,X_41),X_205))) != meet(X_41,join(composition(top,X_41),X_205))
| join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = meet(X_41,join(composition(top,X_41),X_205)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)))),bind(Y,$fot(join(zero,meet(X_41,join(composition(top,X_41),X_205))))),bind(Z,$fot(meet(X_41,join(composition(top,X_41),X_205))))]]) ).
cnf(refute_0_3970,plain,
( join(zero,meet(X_41,join(composition(top,X_41),X_205))) != meet(X_41,join(composition(top,X_41),X_205))
| join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = meet(X_41,join(composition(top,X_41),X_205)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)),join(zero,meet(X_41,join(composition(top,X_41),X_205)))) )],[refute_0_3968,refute_0_3969]) ).
cnf(refute_0_3971,plain,
join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) = meet(X_41,join(composition(top,X_41),X_205)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_41,join(composition(top,X_41),X_205))),meet(X_41,join(composition(top,X_41),X_205))) )],[refute_0_3941,refute_0_3970]) ).
cnf(refute_0_3972,plain,
join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)) = join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(top))),bind(B,$fot(meet(join(composition(top,complement(complement(X_41))),X_205),X_41)))]]) ).
cnf(refute_0_3973,plain,
( join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) != meet(X_41,join(composition(top,X_41),X_205))
| join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)) != join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41))
| join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)) = meet(X_41,join(composition(top,X_41),X_205)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)))),bind(Z,$fot(meet(X_41,join(composition(top,X_41),X_205))))]]) ).
cnf(refute_0_3974,plain,
( join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)) != meet(X_41,join(composition(top,X_41),X_205))
| join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)) = meet(X_41,join(composition(top,X_41),X_205)) ),
inference(resolve,[$cnf( $equal(join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)),join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41))) )],[refute_0_3972,refute_0_3973]) ).
cnf(refute_0_3975,plain,
join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)) = meet(X_41,join(composition(top,X_41),X_205)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(composition(top,complement(complement(X_41))),X_205),X_41)),meet(X_41,join(composition(top,X_41),X_205))) )],[refute_0_3971,refute_0_3974]) ).
cnf(refute_0_3976,plain,
( X_41 != join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top))
| join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)) != meet(X_41,join(composition(top,X_41),X_205))
| X_41 = meet(X_41,join(composition(top,X_41),X_205)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,meet(X_41,join(composition(top,X_41),X_205))) ),[0],$fot(join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)))]]) ).
cnf(refute_0_3977,plain,
( X_41 != join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top))
| X_41 = meet(X_41,join(composition(top,X_41),X_205)) ),
inference(resolve,[$cnf( $equal(join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top)),meet(X_41,join(composition(top,X_41),X_205))) )],[refute_0_3975,refute_0_3976]) ).
cnf(refute_0_3978,plain,
X_41 = meet(X_41,join(composition(top,X_41),X_205)),
inference(resolve,[$cnf( $equal(X_41,join(meet(join(composition(top,complement(complement(X_41))),X_205),X_41),complement(top))) )],[refute_0_3940,refute_0_3977]) ).
cnf(refute_0_3979,plain,
composition(top,complement(one)) = meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205)),
inference(subst,[],[refute_0_3978:[bind(X_41,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_3980,plain,
( composition(top,complement(one)) != meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205))
| meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205)) = composition(top,complement(one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,complement(one)))),bind(Y,$fot(meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205))))]]) ).
cnf(refute_0_3981,plain,
meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205)) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(composition(top,complement(one)),meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205))) )],[refute_0_3979,refute_0_3980]) ).
cnf(refute_0_3982,plain,
( meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205)) != composition(top,complement(one))
| top != join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205)))),top))
| top = join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205)))),top))) ),[1,1,0,1,1],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3983,plain,
( top != join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205)))),top))
| top = join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top)) ),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205)),composition(top,complement(one))) )],[refute_0_3981,refute_0_3982]) ).
cnf(refute_0_3984,plain,
top = join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top)),
inference(resolve,[$cnf( $equal(top,join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,meet(composition(top,complement(one)),join(composition(top,composition(top,complement(one))),X_205)))),top))) )],[refute_0_3935,refute_0_3983]) ).
cnf(refute_0_3985,plain,
join(complement(X_205),complement(one)) = complement(meet(X_205,one)),
inference(subst,[],[refute_0_356:[bind(A,$fot(X_205)),bind(B,$fot(one))]]) ).
cnf(refute_0_3986,plain,
composition(join(complement(X_205),complement(one)),top) = composition(join(complement(X_205),complement(one)),top),
introduced(tautology,[refl,[$fot(composition(join(complement(X_205),complement(one)),top))]]) ).
cnf(refute_0_3987,plain,
( composition(join(complement(X_205),complement(one)),top) != composition(join(complement(X_205),complement(one)),top)
| join(complement(X_205),complement(one)) != complement(meet(X_205,one))
| composition(join(complement(X_205),complement(one)),top) = composition(complement(meet(X_205,one)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(X_205),complement(one)),top),composition(join(complement(X_205),complement(one)),top)) ),[1,0],$fot(complement(meet(X_205,one)))]]) ).
cnf(refute_0_3988,plain,
( join(complement(X_205),complement(one)) != complement(meet(X_205,one))
| composition(join(complement(X_205),complement(one)),top) = composition(complement(meet(X_205,one)),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(X_205),complement(one)),top),composition(join(complement(X_205),complement(one)),top)) )],[refute_0_3986,refute_0_3987]) ).
cnf(refute_0_3989,plain,
composition(join(complement(X_205),complement(one)),top) = composition(complement(meet(X_205,one)),top),
inference(resolve,[$cnf( $equal(join(complement(X_205),complement(one)),complement(meet(X_205,one))) )],[refute_0_3985,refute_0_3988]) ).
cnf(refute_0_3990,plain,
composition(join(A,complement(one)),top) = join(composition(A,top),composition(complement(one),top)),
inference(subst,[],[composition_distributivity_7:[bind(B,$fot(complement(one))),bind(C,$fot(top))]]) ).
cnf(refute_0_3991,plain,
( composition(complement(one),top) != composition(top,complement(one))
| composition(join(A,complement(one)),top) != join(composition(A,top),composition(complement(one),top))
| composition(join(A,complement(one)),top) = join(composition(A,top),composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(A,complement(one)),top),join(composition(A,top),composition(complement(one),top))) ),[1,1],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3992,plain,
( composition(join(A,complement(one)),top) != join(composition(A,top),composition(complement(one),top))
| composition(join(A,complement(one)),top) = join(composition(A,top),composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),top),composition(top,complement(one))) )],[refute_0_3606,refute_0_3991]) ).
cnf(refute_0_3993,plain,
composition(join(A,complement(one)),top) = join(composition(A,top),composition(top,complement(one))),
inference(resolve,[$cnf( $equal(composition(join(A,complement(one)),top),join(composition(A,top),composition(complement(one),top))) )],[refute_0_3990,refute_0_3992]) ).
cnf(refute_0_3994,plain,
composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) = join(composition(A,top),composition(complement(composition(complement(composition(top,complement(one))),top)),top)),
inference(subst,[],[composition_distributivity_7:[bind(B,$fot(complement(composition(complement(composition(top,complement(one))),top)))),bind(C,$fot(top))]]) ).
cnf(refute_0_3995,plain,
join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))) = complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),
inference(subst,[],[refute_0_437:[bind(A,$fot(top)),bind(B,$fot(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))]]) ).
cnf(refute_0_3996,plain,
composition(join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))),complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) = composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),
inference(subst,[],[refute_0_3215:[bind(X_147,$fot(one)),bind(X_148,$fot(composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))]]) ).
cnf(refute_0_3997,plain,
join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207) = join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)),
inference(subst,[],[refute_0_1283:[bind(A,$fot(one)),bind(X_6,$fot(X_207)),bind(X_7,$fot(complement(composition(complement(composition(top,complement(one))),top))))]]) ).
cnf(refute_0_3998,plain,
join(one,join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top)))) = join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))),
inference(subst,[],[refute_0_3845:[bind(X_121,$fot(complement(composition(complement(converse(composition(top,complement(one)))),top))))]]) ).
cnf(refute_0_3999,plain,
top = join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top))),
inference(subst,[],[def_top_12:[bind(A,$fot(composition(complement(converse(composition(top,complement(one)))),top)))]]) ).
cnf(refute_0_4000,plain,
( top != join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top)))
| join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top)))))]]) ).
cnf(refute_0_4001,plain,
join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top))) = top,
inference(resolve,[$cnf( $equal(top,join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top)))) )],[refute_0_3999,refute_0_4000]) ).
cnf(refute_0_4002,plain,
( join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top))) != top
| join(one,join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top)))) != join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))
| join(one,top) = join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top)))),join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_4003,plain,
( join(one,join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top)))) != join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))
| join(one,top) = join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top))),top) )],[refute_0_4001,refute_0_4002]) ).
cnf(refute_0_4004,plain,
join(one,top) = join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))),
inference(resolve,[$cnf( $equal(join(one,join(composition(complement(converse(composition(top,complement(one)))),top),complement(composition(complement(converse(composition(top,complement(one)))),top)))),join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))) )],[refute_0_3998,refute_0_4003]) ).
cnf(refute_0_4005,plain,
( join(one,top) != join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))
| join(one,top) != top
| top = join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))) ),[0],$fot(top)]]) ).
cnf(refute_0_4006,plain,
( join(one,top) != join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))
| top = join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2871,refute_0_4005]) ).
cnf(refute_0_4007,plain,
top = join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))) )],[refute_0_4004,refute_0_4006]) ).
cnf(refute_0_4008,plain,
composition(complement(converse(composition(top,complement(one)))),top) = composition(complement(converse(composition(top,complement(one)))),top),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,complement(one)))),top))]]) ).
cnf(refute_0_4009,plain,
( complement(converse(composition(top,complement(one)))) != complement(composition(complement(one),top))
| composition(complement(converse(composition(top,complement(one)))),top) != composition(complement(converse(composition(top,complement(one)))),top)
| composition(complement(converse(composition(top,complement(one)))),top) = composition(complement(composition(complement(one),top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(one)))),top),composition(complement(converse(composition(top,complement(one)))),top)) ),[1,0],$fot(complement(composition(complement(one),top)))]]) ).
cnf(refute_0_4010,plain,
( complement(converse(composition(top,complement(one)))) != complement(composition(complement(one),top))
| composition(complement(converse(composition(top,complement(one)))),top) = composition(complement(composition(complement(one),top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(one)))),top),composition(complement(converse(composition(top,complement(one)))),top)) )],[refute_0_4008,refute_0_4009]) ).
cnf(refute_0_4011,plain,
composition(complement(converse(composition(top,complement(one)))),top) = composition(complement(composition(complement(one),top)),top),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(composition(complement(one),top))) )],[refute_0_3856,refute_0_4010]) ).
cnf(refute_0_4012,plain,
complement(composition(complement(converse(composition(top,complement(one)))),top)) = complement(composition(complement(converse(composition(top,complement(one)))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(converse(composition(top,complement(one)))),top)))]]) ).
cnf(refute_0_4013,plain,
( complement(composition(complement(converse(composition(top,complement(one)))),top)) != complement(composition(complement(converse(composition(top,complement(one)))),top))
| composition(complement(converse(composition(top,complement(one)))),top) != composition(complement(composition(complement(one),top)),top)
| complement(composition(complement(converse(composition(top,complement(one)))),top)) = complement(composition(complement(composition(complement(one),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(composition(top,complement(one)))),top)),complement(composition(complement(converse(composition(top,complement(one)))),top))) ),[1,0],$fot(composition(complement(composition(complement(one),top)),top))]]) ).
cnf(refute_0_4014,plain,
( composition(complement(converse(composition(top,complement(one)))),top) != composition(complement(composition(complement(one),top)),top)
| complement(composition(complement(converse(composition(top,complement(one)))),top)) = complement(composition(complement(composition(complement(one),top)),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(composition(top,complement(one)))),top)),complement(composition(complement(converse(composition(top,complement(one)))),top))) )],[refute_0_4012,refute_0_4013]) ).
cnf(refute_0_4015,plain,
complement(composition(complement(converse(composition(top,complement(one)))),top)) = complement(composition(complement(composition(complement(one),top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(one)))),top),composition(complement(composition(complement(one),top)),top)) )],[refute_0_4011,refute_0_4014]) ).
cnf(refute_0_4016,plain,
join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))) = join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))),
introduced(tautology,[refl,[$fot(join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))))]]) ).
cnf(refute_0_4017,plain,
( complement(composition(complement(converse(composition(top,complement(one)))),top)) != complement(composition(complement(composition(complement(one),top)),top))
| join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))) != join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))
| join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))) = join(one,complement(composition(complement(composition(complement(one),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))),join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))) ),[1,1],$fot(complement(composition(complement(composition(complement(one),top)),top)))]]) ).
cnf(refute_0_4018,plain,
( complement(composition(complement(converse(composition(top,complement(one)))),top)) != complement(composition(complement(composition(complement(one),top)),top))
| join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))) = join(one,complement(composition(complement(composition(complement(one),top)),top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))),join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))) )],[refute_0_4016,refute_0_4017]) ).
cnf(refute_0_4019,plain,
join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))) = join(one,complement(composition(complement(composition(complement(one),top)),top))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(composition(top,complement(one)))),top)),complement(composition(complement(composition(complement(one),top)),top))) )],[refute_0_4015,refute_0_4018]) ).
cnf(refute_0_4020,plain,
( join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))) != join(one,complement(composition(complement(composition(complement(one),top)),top)))
| top != join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))
| top = join(one,complement(composition(complement(composition(complement(one),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))) ),[1],$fot(join(one,complement(composition(complement(composition(complement(one),top)),top))))]]) ).
cnf(refute_0_4021,plain,
( top != join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))
| top = join(one,complement(composition(complement(composition(complement(one),top)),top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(converse(composition(top,complement(one)))),top))),join(one,complement(composition(complement(composition(complement(one),top)),top)))) )],[refute_0_4019,refute_0_4020]) ).
cnf(refute_0_4022,plain,
top = join(one,complement(composition(complement(composition(complement(one),top)),top))),
inference(resolve,[$cnf( $equal(top,join(one,complement(composition(complement(converse(composition(top,complement(one)))),top)))) )],[refute_0_4007,refute_0_4021]) ).
cnf(refute_0_4023,plain,
composition(complement(composition(complement(one),top)),top) = composition(complement(composition(complement(one),top)),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(one),top)),top))]]) ).
cnf(refute_0_4024,plain,
( complement(composition(complement(one),top)) != complement(composition(top,complement(one)))
| composition(complement(composition(complement(one),top)),top) != composition(complement(composition(complement(one),top)),top)
| composition(complement(composition(complement(one),top)),top) = composition(complement(composition(top,complement(one))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(one),top)),top),composition(complement(composition(complement(one),top)),top)) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).
cnf(refute_0_4025,plain,
( complement(composition(complement(one),top)) != complement(composition(top,complement(one)))
| composition(complement(composition(complement(one),top)),top) = composition(complement(composition(top,complement(one))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(one),top)),top),composition(complement(composition(complement(one),top)),top)) )],[refute_0_4023,refute_0_4024]) ).
cnf(refute_0_4026,plain,
composition(complement(composition(complement(one),top)),top) = composition(complement(composition(top,complement(one))),top),
inference(resolve,[$cnf( $equal(complement(composition(complement(one),top)),complement(composition(top,complement(one)))) )],[refute_0_3875,refute_0_4025]) ).
cnf(refute_0_4027,plain,
complement(composition(complement(composition(complement(one),top)),top)) = complement(composition(complement(composition(complement(one),top)),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(composition(complement(one),top)),top)))]]) ).
cnf(refute_0_4028,plain,
( complement(composition(complement(composition(complement(one),top)),top)) != complement(composition(complement(composition(complement(one),top)),top))
| composition(complement(composition(complement(one),top)),top) != composition(complement(composition(top,complement(one))),top)
| complement(composition(complement(composition(complement(one),top)),top)) = complement(composition(complement(composition(top,complement(one))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(composition(complement(one),top)),top)),complement(composition(complement(composition(complement(one),top)),top))) ),[1,0],$fot(composition(complement(composition(top,complement(one))),top))]]) ).
cnf(refute_0_4029,plain,
( composition(complement(composition(complement(one),top)),top) != composition(complement(composition(top,complement(one))),top)
| complement(composition(complement(composition(complement(one),top)),top)) = complement(composition(complement(composition(top,complement(one))),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(complement(one),top)),top)),complement(composition(complement(composition(complement(one),top)),top))) )],[refute_0_4027,refute_0_4028]) ).
cnf(refute_0_4030,plain,
complement(composition(complement(composition(complement(one),top)),top)) = complement(composition(complement(composition(top,complement(one))),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(one),top)),top),composition(complement(composition(top,complement(one))),top)) )],[refute_0_4026,refute_0_4029]) ).
cnf(refute_0_4031,plain,
join(one,complement(composition(complement(composition(complement(one),top)),top))) = join(one,complement(composition(complement(composition(complement(one),top)),top))),
introduced(tautology,[refl,[$fot(join(one,complement(composition(complement(composition(complement(one),top)),top))))]]) ).
cnf(refute_0_4032,plain,
( complement(composition(complement(composition(complement(one),top)),top)) != complement(composition(complement(composition(top,complement(one))),top))
| join(one,complement(composition(complement(composition(complement(one),top)),top))) != join(one,complement(composition(complement(composition(complement(one),top)),top)))
| join(one,complement(composition(complement(composition(complement(one),top)),top))) = join(one,complement(composition(complement(composition(top,complement(one))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(complement(composition(complement(one),top)),top))),join(one,complement(composition(complement(composition(complement(one),top)),top)))) ),[1,1],$fot(complement(composition(complement(composition(top,complement(one))),top)))]]) ).
cnf(refute_0_4033,plain,
( complement(composition(complement(composition(complement(one),top)),top)) != complement(composition(complement(composition(top,complement(one))),top))
| join(one,complement(composition(complement(composition(complement(one),top)),top))) = join(one,complement(composition(complement(composition(top,complement(one))),top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(composition(complement(one),top)),top))),join(one,complement(composition(complement(composition(complement(one),top)),top)))) )],[refute_0_4031,refute_0_4032]) ).
cnf(refute_0_4034,plain,
join(one,complement(composition(complement(composition(complement(one),top)),top))) = join(one,complement(composition(complement(composition(top,complement(one))),top))),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(complement(one),top)),top)),complement(composition(complement(composition(top,complement(one))),top))) )],[refute_0_4030,refute_0_4033]) ).
cnf(refute_0_4035,plain,
( join(one,complement(composition(complement(composition(complement(one),top)),top))) != join(one,complement(composition(complement(composition(top,complement(one))),top)))
| top != join(one,complement(composition(complement(composition(complement(one),top)),top)))
| top = join(one,complement(composition(complement(composition(top,complement(one))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,complement(composition(complement(composition(complement(one),top)),top)))) ),[1],$fot(join(one,complement(composition(complement(composition(top,complement(one))),top))))]]) ).
cnf(refute_0_4036,plain,
( top != join(one,complement(composition(complement(composition(complement(one),top)),top)))
| top = join(one,complement(composition(complement(composition(top,complement(one))),top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(composition(complement(one),top)),top))),join(one,complement(composition(complement(composition(top,complement(one))),top)))) )],[refute_0_4034,refute_0_4035]) ).
cnf(refute_0_4037,plain,
top = join(one,complement(composition(complement(composition(top,complement(one))),top))),
inference(resolve,[$cnf( $equal(top,join(one,complement(composition(complement(composition(complement(one),top)),top)))) )],[refute_0_4022,refute_0_4036]) ).
cnf(refute_0_4038,plain,
( top != join(one,complement(composition(complement(composition(top,complement(one))),top)))
| join(one,complement(composition(complement(composition(top,complement(one))),top))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(composition(complement(composition(top,complement(one))),top)))))]]) ).
cnf(refute_0_4039,plain,
join(one,complement(composition(complement(composition(top,complement(one))),top))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(composition(complement(composition(top,complement(one))),top)))) )],[refute_0_4037,refute_0_4038]) ).
cnf(refute_0_4040,plain,
( join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207) != join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))
| join(one,complement(composition(complement(composition(top,complement(one))),top))) != top
| join(converse(top),X_207) = join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207),join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_4041,plain,
( join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207) != join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))
| join(converse(top),X_207) = join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(composition(top,complement(one))),top))),top) )],[refute_0_4039,refute_0_4040]) ).
cnf(refute_0_4042,plain,
join(converse(top),X_207) = join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207),join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))) )],[refute_0_3997,refute_0_4041]) ).
cnf(refute_0_4043,plain,
join(top,X_207) = top,
inference(subst,[],[refute_0_1171:[bind(B,$fot(X_207))]]) ).
cnf(refute_0_4044,plain,
join(converse(top),X_207) = join(converse(top),X_207),
introduced(tautology,[refl,[$fot(join(converse(top),X_207))]]) ).
cnf(refute_0_4045,plain,
( converse(top) != top
| join(converse(top),X_207) != join(converse(top),X_207)
| join(converse(top),X_207) = join(top,X_207) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X_207),join(converse(top),X_207)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4046,plain,
( converse(top) != top
| join(converse(top),X_207) = join(top,X_207) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_207),join(converse(top),X_207)) )],[refute_0_4044,refute_0_4045]) ).
cnf(refute_0_4047,plain,
join(converse(top),X_207) = join(top,X_207),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_4046]) ).
cnf(refute_0_4048,plain,
( join(converse(top),X_207) != join(top,X_207)
| join(top,X_207) != top
| join(converse(top),X_207) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(top),X_207))),bind(Y,$fot(join(top,X_207))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4049,plain,
( join(top,X_207) != top
| join(converse(top),X_207) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),X_207),join(top,X_207)) )],[refute_0_4047,refute_0_4048]) ).
cnf(refute_0_4050,plain,
join(converse(top),X_207) = top,
inference(resolve,[$cnf( $equal(join(top,X_207),top) )],[refute_0_4043,refute_0_4049]) ).
cnf(refute_0_4051,plain,
( join(converse(top),X_207) != join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))
| join(converse(top),X_207) != top
| top = join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X_207),join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))) ),[0],$fot(top)]]) ).
cnf(refute_0_4052,plain,
( join(converse(top),X_207) != join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))
| top = join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_207),top) )],[refute_0_4050,refute_0_4051]) ).
cnf(refute_0_4053,plain,
converse(join(one,join(X_24,converse(X_165)))) = converse(join(X_24,join(one,converse(X_165)))),
inference(subst,[],[refute_0_1312:[bind(B,$fot(converse(X_165))),bind(X_23,$fot(one))]]) ).
cnf(refute_0_4054,plain,
converse(join(one,X_165)) = join(one,converse(X_165)),
inference(subst,[],[refute_0_1256:[bind(X_5,$fot(X_165))]]) ).
cnf(refute_0_4055,plain,
( converse(join(one,X_165)) != join(one,converse(X_165))
| join(one,converse(X_165)) = converse(join(one,X_165)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(one,X_165)))),bind(Y,$fot(join(one,converse(X_165))))]]) ).
cnf(refute_0_4056,plain,
join(one,converse(X_165)) = converse(join(one,X_165)),
inference(resolve,[$cnf( $equal(converse(join(one,X_165)),join(one,converse(X_165))) )],[refute_0_4054,refute_0_4055]) ).
cnf(refute_0_4057,plain,
( converse(join(one,join(X_24,converse(X_165)))) != converse(join(X_24,join(one,converse(X_165))))
| join(one,converse(X_165)) != converse(join(one,X_165))
| converse(join(one,join(X_24,converse(X_165)))) = converse(join(X_24,converse(join(one,X_165)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_24,converse(X_165)))),converse(join(X_24,join(one,converse(X_165))))) ),[1,0,1],$fot(converse(join(one,X_165)))]]) ).
cnf(refute_0_4058,plain,
( converse(join(one,join(X_24,converse(X_165)))) != converse(join(X_24,join(one,converse(X_165))))
| converse(join(one,join(X_24,converse(X_165)))) = converse(join(X_24,converse(join(one,X_165)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_165)),converse(join(one,X_165))) )],[refute_0_4056,refute_0_4057]) ).
cnf(refute_0_4059,plain,
converse(join(one,join(X_24,converse(X_165)))) = converse(join(X_24,converse(join(one,X_165)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_24,converse(X_165)))),converse(join(X_24,join(one,converse(X_165))))) )],[refute_0_4053,refute_0_4058]) ).
cnf(refute_0_4060,plain,
converse(join(one,join(X_24,converse(X_165)))) = join(converse(join(one,X_24)),X_165),
inference(subst,[],[refute_0_1279:[bind(A,$fot(X_165)),bind(X_119,$fot(one)),bind(X_120,$fot(X_24))]]) ).
cnf(refute_0_4061,plain,
( converse(join(one,join(X_24,converse(X_165)))) != converse(join(X_24,converse(join(one,X_165))))
| converse(join(one,join(X_24,converse(X_165)))) != join(converse(join(one,X_24)),X_165)
| join(converse(join(one,X_24)),X_165) = converse(join(X_24,converse(join(one,X_165)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_24,converse(X_165)))),converse(join(X_24,converse(join(one,X_165))))) ),[0],$fot(join(converse(join(one,X_24)),X_165))]]) ).
cnf(refute_0_4062,plain,
( converse(join(one,join(X_24,converse(X_165)))) != converse(join(X_24,converse(join(one,X_165))))
| join(converse(join(one,X_24)),X_165) = converse(join(X_24,converse(join(one,X_165)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_24,converse(X_165)))),join(converse(join(one,X_24)),X_165)) )],[refute_0_4060,refute_0_4061]) ).
cnf(refute_0_4063,plain,
join(converse(X_24),join(one,X_165)) = join(one,join(converse(X_24),X_165)),
inference(subst,[],[refute_0_1322:[bind(X_144,$fot(X_165)),bind(X_145,$fot(converse(X_24))),bind(X_146,$fot(one))]]) ).
cnf(refute_0_4064,plain,
converse(join(X_24,converse(join(one,X_165)))) = join(converse(X_24),join(one,X_165)),
inference(subst,[],[refute_0_128:[bind(A,$fot(join(one,X_165))),bind(X_4,$fot(X_24))]]) ).
cnf(refute_0_4065,plain,
( converse(join(X_24,converse(join(one,X_165)))) != join(converse(X_24),join(one,X_165))
| join(converse(X_24),join(one,X_165)) != join(one,join(converse(X_24),X_165))
| converse(join(X_24,converse(join(one,X_165)))) = join(one,join(converse(X_24),X_165)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(X_24,converse(join(one,X_165)))))),bind(Y,$fot(join(converse(X_24),join(one,X_165)))),bind(Z,$fot(join(one,join(converse(X_24),X_165))))]]) ).
cnf(refute_0_4066,plain,
( join(converse(X_24),join(one,X_165)) != join(one,join(converse(X_24),X_165))
| converse(join(X_24,converse(join(one,X_165)))) = join(one,join(converse(X_24),X_165)) ),
inference(resolve,[$cnf( $equal(converse(join(X_24,converse(join(one,X_165)))),join(converse(X_24),join(one,X_165))) )],[refute_0_4064,refute_0_4065]) ).
cnf(refute_0_4067,plain,
converse(join(X_24,converse(join(one,X_165)))) = join(one,join(converse(X_24),X_165)),
inference(resolve,[$cnf( $equal(join(converse(X_24),join(one,X_165)),join(one,join(converse(X_24),X_165))) )],[refute_0_4063,refute_0_4066]) ).
cnf(refute_0_4068,plain,
( converse(join(X_24,converse(join(one,X_165)))) != join(one,join(converse(X_24),X_165))
| join(converse(join(one,X_24)),X_165) != converse(join(X_24,converse(join(one,X_165))))
| join(converse(join(one,X_24)),X_165) = join(one,join(converse(X_24),X_165)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(one,X_24)),X_165),converse(join(X_24,converse(join(one,X_165))))) ),[1],$fot(join(one,join(converse(X_24),X_165)))]]) ).
cnf(refute_0_4069,plain,
( join(converse(join(one,X_24)),X_165) != converse(join(X_24,converse(join(one,X_165))))
| join(converse(join(one,X_24)),X_165) = join(one,join(converse(X_24),X_165)) ),
inference(resolve,[$cnf( $equal(converse(join(X_24,converse(join(one,X_165)))),join(one,join(converse(X_24),X_165))) )],[refute_0_4067,refute_0_4068]) ).
cnf(refute_0_4070,plain,
( converse(join(one,join(X_24,converse(X_165)))) != converse(join(X_24,converse(join(one,X_165))))
| join(converse(join(one,X_24)),X_165) = join(one,join(converse(X_24),X_165)) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,X_24)),X_165),converse(join(X_24,converse(join(one,X_165))))) )],[refute_0_4062,refute_0_4069]) ).
cnf(refute_0_4071,plain,
join(converse(join(one,X_24)),X_165) = join(one,join(converse(X_24),X_165)),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_24,converse(X_165)))),converse(join(X_24,converse(join(one,X_165))))) )],[refute_0_4059,refute_0_4070]) ).
cnf(refute_0_4072,plain,
join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207) = join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)),
inference(subst,[],[refute_0_4071:[bind(X_165,$fot(X_207)),bind(X_24,$fot(complement(composition(complement(composition(top,complement(one))),top))))]]) ).
cnf(refute_0_4073,plain,
( join(converse(join(A,X_7)),X_6) != join(converse(A),join(converse(X_7),X_6))
| join(converse(A),join(converse(X_7),X_6)) = join(converse(join(A,X_7)),X_6) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(converse(join(A,X_7)),X_6))),bind(Y,$fot(join(converse(A),join(converse(X_7),X_6))))]]) ).
cnf(refute_0_4074,plain,
join(converse(A),join(converse(X_7),X_6)) = join(converse(join(A,X_7)),X_6),
inference(resolve,[$cnf( $equal(join(converse(join(A,X_7)),X_6),join(converse(A),join(converse(X_7),X_6))) )],[refute_0_1283,refute_0_4073]) ).
cnf(refute_0_4075,plain,
join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) = join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207),
inference(subst,[],[refute_0_4074:[bind(A,$fot(one)),bind(X_6,$fot(X_207)),bind(X_7,$fot(complement(composition(complement(composition(top,complement(one))),top))))]]) ).
cnf(refute_0_4076,plain,
( join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207) != join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))
| join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) != join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207)
| join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) = join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)))),bind(Y,$fot(join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207))),bind(Z,$fot(join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))))]]) ).
cnf(refute_0_4077,plain,
( join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207) != join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))
| join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) = join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) ),
inference(resolve,[$cnf( $equal(join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)),join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207)) )],[refute_0_4075,refute_0_4076]) ).
cnf(refute_0_4078,plain,
join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) = join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(composition(complement(composition(top,complement(one))),top)))),X_207),join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))) )],[refute_0_4072,refute_0_4077]) ).
cnf(refute_0_4079,plain,
( join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) != join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))
| top != join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))
| top = join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))) ),[1],$fot(join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)))]]) ).
cnf(refute_0_4080,plain,
( top != join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))
| top = join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) ),
inference(resolve,[$cnf( $equal(join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)),join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))) )],[refute_0_4078,refute_0_4079]) ).
cnf(refute_0_4081,plain,
( join(converse(top),X_207) != join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))
| top = join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)) ),
inference(resolve,[$cnf( $equal(top,join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))) )],[refute_0_4052,refute_0_4080]) ).
cnf(refute_0_4082,plain,
top = join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207)),
inference(resolve,[$cnf( $equal(join(converse(top),X_207),join(converse(one),join(converse(complement(composition(complement(composition(top,complement(one))),top))),X_207))) )],[refute_0_4042,refute_0_4081]) ).
cnf(refute_0_4083,plain,
top = join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top)))))),
inference(subst,[],[refute_0_4082:[bind(X_207,$fot(composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top))))))]]) ).
cnf(refute_0_4084,plain,
composition(join(X_147,one),converse(complement(composition(complement(composition(top,complement(one))),top)))) = join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top))))),
inference(subst,[],[refute_0_57:[bind(X_149,$fot(converse(complement(composition(complement(composition(top,complement(one))),top)))))]]) ).
cnf(refute_0_4085,plain,
( composition(join(X_147,one),converse(complement(composition(complement(composition(top,complement(one))),top)))) != join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top)))))
| join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top))))) = composition(join(X_147,one),converse(complement(composition(complement(composition(top,complement(one))),top)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_147,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))),bind(Y,$fot(join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top)))))))]]) ).
cnf(refute_0_4086,plain,
join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top))))) = composition(join(X_147,one),converse(complement(composition(complement(composition(top,complement(one))),top)))),
inference(resolve,[$cnf( $equal(composition(join(X_147,one),converse(complement(composition(complement(composition(top,complement(one))),top)))),join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top)))))) )],[refute_0_4084,refute_0_4085]) ).
cnf(refute_0_4087,plain,
( join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top))))) != composition(join(X_147,one),converse(complement(composition(complement(composition(top,complement(one))),top))))
| top != join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top))))))
| top = join(one,composition(join(X_147,one),converse(complement(composition(complement(composition(top,complement(one))),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top))))))) ),[1,1],$fot(composition(join(X_147,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))]]) ).
cnf(refute_0_4088,plain,
( top != join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top))))))
| top = join(one,composition(join(X_147,one),converse(complement(composition(complement(composition(top,complement(one))),top))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top))))),composition(join(X_147,one),converse(complement(composition(complement(composition(top,complement(one))),top))))) )],[refute_0_4086,refute_0_4087]) ).
cnf(refute_0_4089,plain,
top = join(one,composition(join(X_147,one),converse(complement(composition(complement(composition(top,complement(one))),top))))),
inference(resolve,[$cnf( $equal(top,join(one,join(converse(complement(composition(complement(composition(top,complement(one))),top))),composition(X_147,converse(complement(composition(complement(composition(top,complement(one))),top))))))) )],[refute_0_4083,refute_0_4088]) ).
cnf(refute_0_4090,plain,
top = join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))),
inference(subst,[],[refute_0_4089:[bind(X_147,$fot(X_275))]]) ).
cnf(refute_0_4091,plain,
( top != join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))
| join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))]]) ).
cnf(refute_0_4092,plain,
join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))) )],[refute_0_4090,refute_0_4091]) ).
cnf(refute_0_4093,plain,
( composition(join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))),complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) != composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))
| join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))) != top
| composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) = composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))),complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_4094,plain,
( composition(join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))),complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) != composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))
| composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) = composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))),top) )],[refute_0_4092,refute_0_4093]) ).
cnf(refute_0_4095,plain,
composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) = composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),
inference(resolve,[$cnf( $equal(composition(join(one,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))),complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))) )],[refute_0_3996,refute_0_4094]) ).
cnf(refute_0_4096,plain,
converse(converse(composition(top,join(X_159,one)))) = composition(top,join(X_159,one)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(top,join(X_159,one))))]]) ).
cnf(refute_0_4097,plain,
converse(composition(top,join(X_156,one))) = join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(complement(converse(composition(top,join(X_156,one)))),X_42))),
inference(subst,[],[refute_0_214:[bind(X_41,$fot(converse(composition(top,join(X_156,one)))))]]) ).
cnf(refute_0_4098,plain,
X_41 = meet(X_41,join(X_41,composition(X_150,X_41))),
inference(subst,[],[refute_0_1214:[bind(X_124,$fot(composition(X_150,X_41)))]]) ).
cnf(refute_0_4099,plain,
composition(join(X_150,one),X_41) = join(X_41,composition(X_150,X_41)),
inference(subst,[],[refute_0_57:[bind(X_147,$fot(X_150)),bind(X_149,$fot(X_41))]]) ).
cnf(refute_0_4100,plain,
( composition(join(X_150,one),X_41) != join(X_41,composition(X_150,X_41))
| join(X_41,composition(X_150,X_41)) = composition(join(X_150,one),X_41) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_150,one),X_41))),bind(Y,$fot(join(X_41,composition(X_150,X_41))))]]) ).
cnf(refute_0_4101,plain,
join(X_41,composition(X_150,X_41)) = composition(join(X_150,one),X_41),
inference(resolve,[$cnf( $equal(composition(join(X_150,one),X_41),join(X_41,composition(X_150,X_41))) )],[refute_0_4099,refute_0_4100]) ).
cnf(refute_0_4102,plain,
( X_41 != meet(X_41,join(X_41,composition(X_150,X_41)))
| join(X_41,composition(X_150,X_41)) != composition(join(X_150,one),X_41)
| X_41 = meet(X_41,composition(join(X_150,one),X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,meet(X_41,join(X_41,composition(X_150,X_41)))) ),[1,1],$fot(composition(join(X_150,one),X_41))]]) ).
cnf(refute_0_4103,plain,
( X_41 != meet(X_41,join(X_41,composition(X_150,X_41)))
| X_41 = meet(X_41,composition(join(X_150,one),X_41)) ),
inference(resolve,[$cnf( $equal(join(X_41,composition(X_150,X_41)),composition(join(X_150,one),X_41)) )],[refute_0_4101,refute_0_4102]) ).
cnf(refute_0_4104,plain,
X_41 = meet(X_41,composition(join(X_150,one),X_41)),
inference(resolve,[$cnf( $equal(X_41,meet(X_41,join(X_41,composition(X_150,X_41)))) )],[refute_0_4098,refute_0_4103]) ).
cnf(refute_0_4105,plain,
complement(converse(composition(top,join(X_154,one)))) = meet(complement(converse(composition(top,join(X_154,one)))),composition(join(X_154,one),complement(converse(composition(top,join(X_154,one)))))),
inference(subst,[],[refute_0_4104:[bind(X_150,$fot(X_154)),bind(X_41,$fot(complement(converse(composition(top,join(X_154,one))))))]]) ).
cnf(refute_0_4106,plain,
composition(join(X_154,one),complement(converse(composition(top,join(X_154,one))))) = zero,
inference(subst,[],[refute_0_2414:[bind(A,$fot(join(X_154,one)))]]) ).
cnf(refute_0_4107,plain,
( complement(converse(composition(top,join(X_154,one)))) != meet(complement(converse(composition(top,join(X_154,one)))),composition(join(X_154,one),complement(converse(composition(top,join(X_154,one))))))
| composition(join(X_154,one),complement(converse(composition(top,join(X_154,one))))) != zero
| complement(converse(composition(top,join(X_154,one)))) = meet(complement(converse(composition(top,join(X_154,one)))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,join(X_154,one)))),meet(complement(converse(composition(top,join(X_154,one)))),composition(join(X_154,one),complement(converse(composition(top,join(X_154,one))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_4108,plain,
( complement(converse(composition(top,join(X_154,one)))) != meet(complement(converse(composition(top,join(X_154,one)))),composition(join(X_154,one),complement(converse(composition(top,join(X_154,one))))))
| complement(converse(composition(top,join(X_154,one)))) = meet(complement(converse(composition(top,join(X_154,one)))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(X_154,one),complement(converse(composition(top,join(X_154,one))))),zero) )],[refute_0_4106,refute_0_4107]) ).
cnf(refute_0_4109,plain,
complement(converse(composition(top,join(X_154,one)))) = meet(complement(converse(composition(top,join(X_154,one)))),zero),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,join(X_154,one)))),meet(complement(converse(composition(top,join(X_154,one)))),composition(join(X_154,one),complement(converse(composition(top,join(X_154,one))))))) )],[refute_0_4105,refute_0_4108]) ).
cnf(refute_0_4110,plain,
meet(complement(converse(composition(top,join(X_154,one)))),zero) = zero,
inference(subst,[],[refute_0_1153:[bind(X_63,$fot(complement(converse(composition(top,join(X_154,one))))))]]) ).
cnf(refute_0_4111,plain,
( complement(converse(composition(top,join(X_154,one)))) != meet(complement(converse(composition(top,join(X_154,one)))),zero)
| meet(complement(converse(composition(top,join(X_154,one)))),zero) != zero
| complement(converse(composition(top,join(X_154,one)))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(composition(top,join(X_154,one)))),zero) ),[0],$fot(meet(complement(converse(composition(top,join(X_154,one)))),zero))]]) ).
cnf(refute_0_4112,plain,
( complement(converse(composition(top,join(X_154,one)))) != meet(complement(converse(composition(top,join(X_154,one)))),zero)
| complement(converse(composition(top,join(X_154,one)))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,join(X_154,one)))),zero),zero) )],[refute_0_4110,refute_0_4111]) ).
cnf(refute_0_4113,plain,
complement(converse(composition(top,join(X_154,one)))) = zero,
inference(resolve,[$cnf( $equal(complement(converse(composition(top,join(X_154,one)))),meet(complement(converse(composition(top,join(X_154,one)))),zero)) )],[refute_0_4109,refute_0_4112]) ).
cnf(refute_0_4114,plain,
complement(converse(composition(top,join(X_156,one)))) = zero,
inference(subst,[],[refute_0_4113:[bind(X_154,$fot(X_156))]]) ).
cnf(refute_0_4115,plain,
( complement(converse(composition(top,join(X_156,one)))) != zero
| converse(composition(top,join(X_156,one))) != join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(complement(converse(composition(top,join(X_156,one)))),X_42)))
| converse(composition(top,join(X_156,one))) = join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(X_156,one))),join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(complement(converse(composition(top,join(X_156,one)))),X_42)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_4116,plain,
( converse(composition(top,join(X_156,one))) != join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(complement(converse(composition(top,join(X_156,one)))),X_42)))
| converse(composition(top,join(X_156,one))) = join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,join(X_156,one)))),zero) )],[refute_0_4114,refute_0_4115]) ).
cnf(refute_0_4117,plain,
converse(composition(top,join(X_156,one))) = join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))),
inference(resolve,[$cnf( $equal(converse(composition(top,join(X_156,one))),join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(complement(converse(composition(top,join(X_156,one)))),X_42)))) )],[refute_0_4097,refute_0_4116]) ).
cnf(refute_0_4118,plain,
join(X_42,complement(X_42)) = top,
inference(subst,[],[refute_0_248:[bind(A,$fot(X_42))]]) ).
cnf(refute_0_4119,plain,
join(complement(X_42),X_42) = join(X_42,complement(X_42)),
inference(subst,[],[refute_0_53:[bind(A,$fot(X_42)),bind(B,$fot(complement(X_42)))]]) ).
cnf(refute_0_4120,plain,
( join(X_42,complement(X_42)) != top
| join(complement(X_42),X_42) != join(X_42,complement(X_42))
| join(complement(X_42),X_42) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(X_42),X_42))),bind(Y,$fot(join(X_42,complement(X_42)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4121,plain,
( join(X_42,complement(X_42)) != top
| join(complement(X_42),X_42) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_42),X_42),join(X_42,complement(X_42))) )],[refute_0_4119,refute_0_4120]) ).
cnf(refute_0_4122,plain,
join(complement(X_42),X_42) = top,
inference(resolve,[$cnf( $equal(join(X_42,complement(X_42)),top) )],[refute_0_4118,refute_0_4121]) ).
cnf(refute_0_4123,plain,
X_52 = join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(complement(converse(composition(top,join(X_156,one)))),X_52)),
inference(subst,[],[refute_0_198:[bind(X_51,$fot(converse(composition(top,join(X_156,one)))))]]) ).
cnf(refute_0_4124,plain,
( X_52 != join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(complement(converse(composition(top,join(X_156,one)))),X_52))
| complement(converse(composition(top,join(X_156,one)))) != zero
| X_52 = join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(X_52,join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(complement(converse(composition(top,join(X_156,one)))),X_52))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_4125,plain,
( X_52 != join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(complement(converse(composition(top,join(X_156,one)))),X_52))
| X_52 = join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,join(X_156,one)))),zero) )],[refute_0_4114,refute_0_4124]) ).
cnf(refute_0_4126,plain,
X_52 = join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)),
inference(resolve,[$cnf( $equal(X_52,join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(complement(converse(composition(top,join(X_156,one)))),X_52))) )],[refute_0_4123,refute_0_4125]) ).
cnf(refute_0_4127,plain,
join(zero,meet(X_52,converse(composition(top,join(X_156,one))))) = meet(X_52,converse(composition(top,join(X_156,one)))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(X_52,converse(composition(top,join(X_156,one))))))]]) ).
cnf(refute_0_4128,plain,
meet(zero,X_52) = zero,
inference(subst,[],[refute_0_1127:[bind(X_63,$fot(X_52))]]) ).
cnf(refute_0_4129,plain,
join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))) = join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))),
introduced(tautology,[refl,[$fot(join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))))]]) ).
cnf(refute_0_4130,plain,
( join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))) != join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one)))))
| meet(zero,X_52) != zero
| join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))) = join(zero,meet(X_52,converse(composition(top,join(X_156,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))),join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4131,plain,
( meet(zero,X_52) != zero
| join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))) = join(zero,meet(X_52,converse(composition(top,join(X_156,one))))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))),join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one)))))) )],[refute_0_4129,refute_0_4130]) ).
cnf(refute_0_4132,plain,
join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))) = join(zero,meet(X_52,converse(composition(top,join(X_156,one))))),
inference(resolve,[$cnf( $equal(meet(zero,X_52),zero) )],[refute_0_4128,refute_0_4131]) ).
cnf(refute_0_4133,plain,
( join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))) != join(zero,meet(X_52,converse(composition(top,join(X_156,one)))))
| join(zero,meet(X_52,converse(composition(top,join(X_156,one))))) != meet(X_52,converse(composition(top,join(X_156,one))))
| join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))) = meet(X_52,converse(composition(top,join(X_156,one)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))))),bind(Y,$fot(join(zero,meet(X_52,converse(composition(top,join(X_156,one))))))),bind(Z,$fot(meet(X_52,converse(composition(top,join(X_156,one))))))]]) ).
cnf(refute_0_4134,plain,
( join(zero,meet(X_52,converse(composition(top,join(X_156,one))))) != meet(X_52,converse(composition(top,join(X_156,one))))
| join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))) = meet(X_52,converse(composition(top,join(X_156,one)))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))),join(zero,meet(X_52,converse(composition(top,join(X_156,one)))))) )],[refute_0_4132,refute_0_4133]) ).
cnf(refute_0_4135,plain,
join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))) = meet(X_52,converse(composition(top,join(X_156,one)))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_52,converse(composition(top,join(X_156,one))))),meet(X_52,converse(composition(top,join(X_156,one))))) )],[refute_0_4127,refute_0_4134]) ).
cnf(refute_0_4136,plain,
join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)) = join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))),
inference(subst,[],[refute_0_53:[bind(A,$fot(meet(zero,X_52))),bind(B,$fot(meet(X_52,converse(composition(top,join(X_156,one))))))]]) ).
cnf(refute_0_4137,plain,
( join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)) != join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one)))))
| join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))) != meet(X_52,converse(composition(top,join(X_156,one))))
| join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)) = meet(X_52,converse(composition(top,join(X_156,one)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)))),bind(Y,$fot(join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))))),bind(Z,$fot(meet(X_52,converse(composition(top,join(X_156,one))))))]]) ).
cnf(refute_0_4138,plain,
( join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))) != meet(X_52,converse(composition(top,join(X_156,one))))
| join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)) = meet(X_52,converse(composition(top,join(X_156,one)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)),join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one)))))) )],[refute_0_4136,refute_0_4137]) ).
cnf(refute_0_4139,plain,
join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)) = meet(X_52,converse(composition(top,join(X_156,one)))),
inference(resolve,[$cnf( $equal(join(meet(zero,X_52),meet(X_52,converse(composition(top,join(X_156,one))))),meet(X_52,converse(composition(top,join(X_156,one))))) )],[refute_0_4135,refute_0_4138]) ).
cnf(refute_0_4140,plain,
( X_52 != join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52))
| join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)) != meet(X_52,converse(composition(top,join(X_156,one))))
| X_52 = meet(X_52,converse(composition(top,join(X_156,one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_52,meet(X_52,converse(composition(top,join(X_156,one))))) ),[0],$fot(join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)))]]) ).
cnf(refute_0_4141,plain,
( X_52 != join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52))
| X_52 = meet(X_52,converse(composition(top,join(X_156,one)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52)),meet(X_52,converse(composition(top,join(X_156,one))))) )],[refute_0_4139,refute_0_4140]) ).
cnf(refute_0_4142,plain,
X_52 = meet(X_52,converse(composition(top,join(X_156,one)))),
inference(resolve,[$cnf( $equal(X_52,join(meet(X_52,converse(composition(top,join(X_156,one)))),meet(zero,X_52))) )],[refute_0_4126,refute_0_4141]) ).
cnf(refute_0_4143,plain,
( X_52 != meet(X_52,converse(composition(top,join(X_156,one))))
| meet(X_52,converse(composition(top,join(X_156,one)))) = X_52 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_52)),bind(Y,$fot(meet(X_52,converse(composition(top,join(X_156,one))))))]]) ).
cnf(refute_0_4144,plain,
meet(X_52,converse(composition(top,join(X_156,one)))) = X_52,
inference(resolve,[$cnf( $equal(X_52,meet(X_52,converse(composition(top,join(X_156,one))))) )],[refute_0_4142,refute_0_4143]) ).
cnf(refute_0_4145,plain,
meet(X_42,converse(composition(top,join(X_156,one)))) = X_42,
inference(subst,[],[refute_0_4144:[bind(X_52,$fot(X_42))]]) ).
cnf(refute_0_4146,plain,
join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))) = join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))),
introduced(tautology,[refl,[$fot(join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))))]]) ).
cnf(refute_0_4147,plain,
( join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))) != join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one)))))
| meet(X_42,converse(composition(top,join(X_156,one)))) != X_42
| join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))) = join(complement(X_42),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))),join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one)))))) ),[1,1],$fot(X_42)]]) ).
cnf(refute_0_4148,plain,
( meet(X_42,converse(composition(top,join(X_156,one)))) != X_42
| join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))) = join(complement(X_42),X_42) ),
inference(resolve,[$cnf( $equal(join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))),join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one)))))) )],[refute_0_4146,refute_0_4147]) ).
cnf(refute_0_4149,plain,
join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))) = join(complement(X_42),X_42),
inference(resolve,[$cnf( $equal(meet(X_42,converse(composition(top,join(X_156,one)))),X_42) )],[refute_0_4145,refute_0_4148]) ).
cnf(refute_0_4150,plain,
join(zero,X_42) = X_42,
inference(subst,[],[refute_0_871:[bind(X_45,$fot(X_42))]]) ).
cnf(refute_0_4151,plain,
complement(join(zero,X_42)) = complement(join(zero,X_42)),
introduced(tautology,[refl,[$fot(complement(join(zero,X_42)))]]) ).
cnf(refute_0_4152,plain,
( complement(join(zero,X_42)) != complement(join(zero,X_42))
| join(zero,X_42) != X_42
| complement(join(zero,X_42)) = complement(X_42) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,X_42)),complement(join(zero,X_42))) ),[1,0],$fot(X_42)]]) ).
cnf(refute_0_4153,plain,
( join(zero,X_42) != X_42
| complement(join(zero,X_42)) = complement(X_42) ),
inference(resolve,[$cnf( $equal(complement(join(zero,X_42)),complement(join(zero,X_42))) )],[refute_0_4151,refute_0_4152]) ).
cnf(refute_0_4154,plain,
complement(join(zero,X_42)) = complement(X_42),
inference(resolve,[$cnf( $equal(join(zero,X_42),X_42) )],[refute_0_4150,refute_0_4153]) ).
cnf(refute_0_4155,plain,
join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) = join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))),
introduced(tautology,[refl,[$fot(join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))))]]) ).
cnf(refute_0_4156,plain,
( complement(join(zero,X_42)) != complement(X_42)
| join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) != join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one)))))
| join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) = join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))),join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one)))))) ),[1,0],$fot(complement(X_42))]]) ).
cnf(refute_0_4157,plain,
( complement(join(zero,X_42)) != complement(X_42)
| join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) = join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))),join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one)))))) )],[refute_0_4155,refute_0_4156]) ).
cnf(refute_0_4158,plain,
join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) = join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))),
inference(resolve,[$cnf( $equal(complement(join(zero,X_42)),complement(X_42)) )],[refute_0_4154,refute_0_4157]) ).
cnf(refute_0_4159,plain,
( join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))) != join(complement(X_42),X_42)
| join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) != join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one)))))
| join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) = join(complement(X_42),X_42) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))))),bind(Y,$fot(join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))))),bind(Z,$fot(join(complement(X_42),X_42)))]]) ).
cnf(refute_0_4160,plain,
( join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))) != join(complement(X_42),X_42)
| join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) = join(complement(X_42),X_42) ),
inference(resolve,[$cnf( $equal(join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))),join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one)))))) )],[refute_0_4158,refute_0_4159]) ).
cnf(refute_0_4161,plain,
join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) = join(complement(X_42),X_42),
inference(resolve,[$cnf( $equal(join(complement(X_42),meet(X_42,converse(composition(top,join(X_156,one))))),join(complement(X_42),X_42)) )],[refute_0_4149,refute_0_4160]) ).
cnf(refute_0_4162,plain,
( join(complement(X_42),X_42) != top
| join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) != join(complement(X_42),X_42)
| join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))))),bind(Y,$fot(join(complement(X_42),X_42))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4163,plain,
( join(complement(X_42),X_42) != top
| join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))),join(complement(X_42),X_42)) )],[refute_0_4161,refute_0_4162]) ).
cnf(refute_0_4164,plain,
join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) = top,
inference(resolve,[$cnf( $equal(join(complement(X_42),X_42),top) )],[refute_0_4122,refute_0_4163]) ).
cnf(refute_0_4165,plain,
join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))) = join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(join(zero,X_42)))),bind(B,$fot(meet(X_42,converse(composition(top,join(X_156,one))))))]]) ).
cnf(refute_0_4166,plain,
( join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) != top
| join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))) != join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one)))))
| join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))))),bind(Y,$fot(join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4167,plain,
( join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))) != top
| join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))) = top ),
inference(resolve,[$cnf( $equal(join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))),join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one)))))) )],[refute_0_4165,refute_0_4166]) ).
cnf(refute_0_4168,plain,
join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))) = top,
inference(resolve,[$cnf( $equal(join(complement(join(zero,X_42)),meet(X_42,converse(composition(top,join(X_156,one))))),top) )],[refute_0_4164,refute_0_4167]) ).
cnf(refute_0_4169,plain,
( converse(composition(top,join(X_156,one))) != join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42)))
| join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))) != top
| converse(composition(top,join(X_156,one))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(top,join(X_156,one))),top) ),[0],$fot(join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))))]]) ).
cnf(refute_0_4170,plain,
( converse(composition(top,join(X_156,one))) != join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42)))
| converse(composition(top,join(X_156,one))) = top ),
inference(resolve,[$cnf( $equal(join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42))),top) )],[refute_0_4168,refute_0_4169]) ).
cnf(refute_0_4171,plain,
converse(composition(top,join(X_156,one))) = top,
inference(resolve,[$cnf( $equal(converse(composition(top,join(X_156,one))),join(meet(X_42,converse(composition(top,join(X_156,one)))),complement(join(zero,X_42)))) )],[refute_0_4117,refute_0_4170]) ).
cnf(refute_0_4172,plain,
converse(composition(top,join(X_159,one))) = top,
inference(subst,[],[refute_0_4171:[bind(X_156,$fot(X_159))]]) ).
cnf(refute_0_4173,plain,
( converse(composition(top,join(X_159,one))) != top
| converse(converse(composition(top,join(X_159,one)))) != composition(top,join(X_159,one))
| converse(top) = composition(top,join(X_159,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,join(X_159,one)))),composition(top,join(X_159,one))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_4174,plain,
( converse(converse(composition(top,join(X_159,one)))) != composition(top,join(X_159,one))
| converse(top) = composition(top,join(X_159,one)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(X_159,one))),top) )],[refute_0_4172,refute_0_4173]) ).
cnf(refute_0_4175,plain,
converse(top) = composition(top,join(X_159,one)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,join(X_159,one)))),composition(top,join(X_159,one))) )],[refute_0_4096,refute_0_4174]) ).
cnf(refute_0_4176,plain,
( converse(top) != composition(top,join(X_159,one))
| converse(top) != top
| top = composition(top,join(X_159,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),composition(top,join(X_159,one))) ),[0],$fot(top)]]) ).
cnf(refute_0_4177,plain,
( converse(top) != composition(top,join(X_159,one))
| top = composition(top,join(X_159,one)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_4176]) ).
cnf(refute_0_4178,plain,
top = composition(top,join(X_159,one)),
inference(resolve,[$cnf( $equal(converse(top),composition(top,join(X_159,one))) )],[refute_0_4175,refute_0_4177]) ).
cnf(refute_0_4179,plain,
( top != composition(top,join(X_159,one))
| composition(top,join(X_159,one)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(composition(top,join(X_159,one))))]]) ).
cnf(refute_0_4180,plain,
composition(top,join(X_159,one)) = top,
inference(resolve,[$cnf( $equal(top,composition(top,join(X_159,one))) )],[refute_0_4178,refute_0_4179]) ).
cnf(refute_0_4181,plain,
composition(top,join(X_275,one)) = top,
inference(subst,[],[refute_0_4180:[bind(X_159,$fot(X_275))]]) ).
cnf(refute_0_4182,plain,
converse(composition(top,join(X_275,one))) = converse(composition(top,join(X_275,one))),
introduced(tautology,[refl,[$fot(converse(composition(top,join(X_275,one))))]]) ).
cnf(refute_0_4183,plain,
( composition(top,join(X_275,one)) != top
| converse(composition(top,join(X_275,one))) != converse(composition(top,join(X_275,one)))
| converse(composition(top,join(X_275,one))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(X_275,one))),converse(composition(top,join(X_275,one)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4184,plain,
( composition(top,join(X_275,one)) != top
| converse(composition(top,join(X_275,one))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(X_275,one))),converse(composition(top,join(X_275,one)))) )],[refute_0_4182,refute_0_4183]) ).
cnf(refute_0_4185,plain,
converse(composition(top,join(X_275,one))) = converse(top),
inference(resolve,[$cnf( $equal(composition(top,join(X_275,one)),top) )],[refute_0_4181,refute_0_4184]) ).
cnf(refute_0_4186,plain,
( converse(composition(top,join(X_275,one))) != converse(top)
| converse(top) != top
| converse(composition(top,join(X_275,one))) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,join(X_275,one))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4187,plain,
( converse(top) != top
| converse(composition(top,join(X_275,one))) = top ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(X_275,one))),converse(top)) )],[refute_0_4185,refute_0_4186]) ).
cnf(refute_0_4188,plain,
converse(composition(top,join(X_275,one))) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_4187]) ).
cnf(refute_0_4189,plain,
composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))) = composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))))]]) ).
cnf(refute_0_4190,plain,
( composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))) != composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one))))
| converse(composition(top,join(X_275,one))) != top
| composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))) = composition(complement(composition(complement(composition(top,complement(one))),top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))),composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4191,plain,
( converse(composition(top,join(X_275,one))) != top
| composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))) = composition(complement(composition(complement(composition(top,complement(one))),top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))),composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one))))) )],[refute_0_4189,refute_0_4190]) ).
cnf(refute_0_4192,plain,
composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))) = composition(complement(composition(complement(composition(top,complement(one))),top)),top),
inference(resolve,[$cnf( $equal(converse(composition(top,join(X_275,one))),top) )],[refute_0_4188,refute_0_4191]) ).
cnf(refute_0_4193,plain,
converse(composition(X_34,converse(composition(X_243,converse(X_242))))) = composition(composition(X_243,converse(X_242)),converse(X_34)),
inference(subst,[],[refute_0_104:[bind(A,$fot(composition(X_243,converse(X_242))))]]) ).
cnf(refute_0_4194,plain,
( converse(composition(X_243,converse(X_242))) != composition(X_242,converse(X_243))
| converse(composition(X_34,converse(composition(X_243,converse(X_242))))) != composition(composition(X_243,converse(X_242)),converse(X_34))
| converse(composition(X_34,composition(X_242,converse(X_243)))) = composition(composition(X_243,converse(X_242)),converse(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_34,converse(composition(X_243,converse(X_242))))),composition(composition(X_243,converse(X_242)),converse(X_34))) ),[0,0,1],$fot(composition(X_242,converse(X_243)))]]) ).
cnf(refute_0_4195,plain,
( converse(composition(X_34,converse(composition(X_243,converse(X_242))))) != composition(composition(X_243,converse(X_242)),converse(X_34))
| converse(composition(X_34,composition(X_242,converse(X_243)))) = composition(composition(X_243,converse(X_242)),converse(X_34)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_243,converse(X_242))),composition(X_242,converse(X_243))) )],[refute_0_1749,refute_0_4194]) ).
cnf(refute_0_4196,plain,
converse(composition(X_34,composition(X_242,converse(X_243)))) = composition(composition(X_243,converse(X_242)),converse(X_34)),
inference(resolve,[$cnf( $equal(converse(composition(X_34,converse(composition(X_243,converse(X_242))))),composition(composition(X_243,converse(X_242)),converse(X_34))) )],[refute_0_4193,refute_0_4195]) ).
cnf(refute_0_4197,plain,
composition(converse(X_242),converse(X_34)) = converse(composition(X_34,X_242)),
inference(subst,[],[refute_0_1734:[bind(A,$fot(X_34)),bind(B,$fot(X_242))]]) ).
cnf(refute_0_4198,plain,
composition(X_243,composition(converse(X_242),converse(X_34))) = composition(X_243,composition(converse(X_242),converse(X_34))),
introduced(tautology,[refl,[$fot(composition(X_243,composition(converse(X_242),converse(X_34))))]]) ).
cnf(refute_0_4199,plain,
( composition(X_243,composition(converse(X_242),converse(X_34))) != composition(X_243,composition(converse(X_242),converse(X_34)))
| composition(converse(X_242),converse(X_34)) != converse(composition(X_34,X_242))
| composition(X_243,composition(converse(X_242),converse(X_34))) = composition(X_243,converse(composition(X_34,X_242))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_243,composition(converse(X_242),converse(X_34))),composition(X_243,composition(converse(X_242),converse(X_34)))) ),[1,1],$fot(converse(composition(X_34,X_242)))]]) ).
cnf(refute_0_4200,plain,
( composition(converse(X_242),converse(X_34)) != converse(composition(X_34,X_242))
| composition(X_243,composition(converse(X_242),converse(X_34))) = composition(X_243,converse(composition(X_34,X_242))) ),
inference(resolve,[$cnf( $equal(composition(X_243,composition(converse(X_242),converse(X_34))),composition(X_243,composition(converse(X_242),converse(X_34)))) )],[refute_0_4198,refute_0_4199]) ).
cnf(refute_0_4201,plain,
composition(X_243,composition(converse(X_242),converse(X_34))) = composition(X_243,converse(composition(X_34,X_242))),
inference(resolve,[$cnf( $equal(composition(converse(X_242),converse(X_34)),converse(composition(X_34,X_242))) )],[refute_0_4197,refute_0_4200]) ).
cnf(refute_0_4202,plain,
composition(composition(X_243,converse(X_242)),converse(X_34)) = composition(X_243,composition(converse(X_242),converse(X_34))),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_243)),bind(B,$fot(converse(X_242))),bind(C,$fot(converse(X_34)))]]) ).
cnf(refute_0_4203,plain,
( composition(X_243,composition(converse(X_242),converse(X_34))) != composition(X_243,converse(composition(X_34,X_242)))
| composition(composition(X_243,converse(X_242)),converse(X_34)) != composition(X_243,composition(converse(X_242),converse(X_34)))
| composition(composition(X_243,converse(X_242)),converse(X_34)) = composition(X_243,converse(composition(X_34,X_242))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(composition(X_243,converse(X_242)),converse(X_34)))),bind(Y,$fot(composition(X_243,composition(converse(X_242),converse(X_34))))),bind(Z,$fot(composition(X_243,converse(composition(X_34,X_242)))))]]) ).
cnf(refute_0_4204,plain,
( composition(X_243,composition(converse(X_242),converse(X_34))) != composition(X_243,converse(composition(X_34,X_242)))
| composition(composition(X_243,converse(X_242)),converse(X_34)) = composition(X_243,converse(composition(X_34,X_242))) ),
inference(resolve,[$cnf( $equal(composition(composition(X_243,converse(X_242)),converse(X_34)),composition(X_243,composition(converse(X_242),converse(X_34)))) )],[refute_0_4202,refute_0_4203]) ).
cnf(refute_0_4205,plain,
composition(composition(X_243,converse(X_242)),converse(X_34)) = composition(X_243,converse(composition(X_34,X_242))),
inference(resolve,[$cnf( $equal(composition(X_243,composition(converse(X_242),converse(X_34))),composition(X_243,converse(composition(X_34,X_242)))) )],[refute_0_4201,refute_0_4204]) ).
cnf(refute_0_4206,plain,
( composition(composition(X_243,converse(X_242)),converse(X_34)) != composition(X_243,converse(composition(X_34,X_242)))
| converse(composition(X_34,composition(X_242,converse(X_243)))) != composition(composition(X_243,converse(X_242)),converse(X_34))
| converse(composition(X_34,composition(X_242,converse(X_243)))) = composition(X_243,converse(composition(X_34,X_242))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_34,composition(X_242,converse(X_243)))),composition(composition(X_243,converse(X_242)),converse(X_34))) ),[1],$fot(composition(X_243,converse(composition(X_34,X_242))))]]) ).
cnf(refute_0_4207,plain,
( converse(composition(X_34,composition(X_242,converse(X_243)))) != composition(composition(X_243,converse(X_242)),converse(X_34))
| converse(composition(X_34,composition(X_242,converse(X_243)))) = composition(X_243,converse(composition(X_34,X_242))) ),
inference(resolve,[$cnf( $equal(composition(composition(X_243,converse(X_242)),converse(X_34)),composition(X_243,converse(composition(X_34,X_242)))) )],[refute_0_4205,refute_0_4206]) ).
cnf(refute_0_4208,plain,
converse(composition(X_34,composition(X_242,converse(X_243)))) = composition(X_243,converse(composition(X_34,X_242))),
inference(resolve,[$cnf( $equal(converse(composition(X_34,composition(X_242,converse(X_243)))),composition(composition(X_243,converse(X_242)),converse(X_34))) )],[refute_0_4196,refute_0_4207]) ).
cnf(refute_0_4209,plain,
converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))) = composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))),
inference(subst,[],[refute_0_4208:[bind(X_242,$fot(join(X_275,one))),bind(X_243,$fot(complement(composition(complement(composition(top,complement(one))),top)))),bind(X_34,$fot(top))]]) ).
cnf(refute_0_4210,plain,
( composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))) != composition(complement(composition(complement(composition(top,complement(one))),top)),top)
| converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))) != composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one))))
| converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))) = composition(complement(composition(complement(composition(top,complement(one))),top)),top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),bind(Y,$fot(composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))))),bind(Z,$fot(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))]]) ).
cnf(refute_0_4211,plain,
( composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))) != composition(complement(composition(complement(composition(top,complement(one))),top)),top)
| converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))) = composition(complement(composition(complement(composition(top,complement(one))),top)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))),composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one))))) )],[refute_0_4209,refute_0_4210]) ).
cnf(refute_0_4212,plain,
converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))) = composition(complement(composition(complement(composition(top,complement(one))),top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,complement(one))),top)),converse(composition(top,join(X_275,one)))),composition(complement(composition(complement(composition(top,complement(one))),top)),top)) )],[refute_0_4192,refute_0_4211]) ).
cnf(refute_0_4213,plain,
complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))) = complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))]]) ).
cnf(refute_0_4214,plain,
( complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))) != complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))
| converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))) != composition(complement(composition(complement(composition(top,complement(one))),top)),top)
| complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))) = complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))),complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) ),[1,0],$fot(composition(complement(composition(complement(composition(top,complement(one))),top)),top))]]) ).
cnf(refute_0_4215,plain,
( converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))) != composition(complement(composition(complement(composition(top,complement(one))),top)),top)
| complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))) = complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))),complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) )],[refute_0_4213,refute_0_4214]) ).
cnf(refute_0_4216,plain,
complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))) = complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))),composition(complement(composition(complement(composition(top,complement(one))),top)),top)) )],[refute_0_4212,refute_0_4215]) ).
cnf(refute_0_4217,plain,
composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) = composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),
introduced(tautology,[refl,[$fot(composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))))]]) ).
cnf(refute_0_4218,plain,
( complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))) != complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) != composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))
| composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) = composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))) ),[1,1],$fot(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))]]) ).
cnf(refute_0_4219,plain,
( complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))) != complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) = composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))) )],[refute_0_4217,refute_0_4218]) ).
cnf(refute_0_4220,plain,
composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) = composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))),complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) )],[refute_0_4216,refute_0_4219]) ).
cnf(refute_0_4221,plain,
( composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) != composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))
| composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) != composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))) ),[0],$fot(composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))]]) ).
cnf(refute_0_4222,plain,
( composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) != composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))
| composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) )],[refute_0_4220,refute_0_4221]) ).
cnf(refute_0_4223,plain,
composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) = complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))),
inference(subst,[],[refute_0_458:[bind(X_36,$fot(complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))))]]) ).
cnf(refute_0_4224,plain,
( complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))) != complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) != complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))
| composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) = complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))))),bind(Y,$fot(complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))),bind(Z,$fot(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))]]) ).
cnf(refute_0_4225,plain,
( complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))) != complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) = complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) )],[refute_0_4223,refute_0_4224]) ).
cnf(refute_0_4226,plain,
composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) = complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))),complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) )],[refute_0_4216,refute_0_4225]) ).
cnf(refute_0_4227,plain,
( composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) != complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) != composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))
| composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))) ),[1],$fot(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))]]) ).
cnf(refute_0_4228,plain,
( composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) != composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))
| composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) )],[refute_0_4226,refute_0_4227]) ).
cnf(refute_0_4229,plain,
( composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))) != composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))
| composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))) )],[refute_0_4222,refute_0_4228]) ).
cnf(refute_0_4230,plain,
composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top)))))))),composition(one,complement(converse(composition(top,composition(join(X_275,one),converse(complement(composition(complement(composition(top,complement(one))),top))))))))) )],[refute_0_4095,refute_0_4229]) ).
cnf(refute_0_4231,plain,
( composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) != complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))) != complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) = complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) ),[0,1,1,0],$fot(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))]]) ).
cnf(refute_0_4232,plain,
( join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))) != complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) = complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) )],[refute_0_4230,refute_0_4231]) ).
cnf(refute_0_4233,plain,
join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) = complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(composition(top,complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) )],[refute_0_3995,refute_0_4232]) ).
cnf(refute_0_4234,plain,
converse(converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))))]]) ).
cnf(refute_0_4235,plain,
join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))) = complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),
inference(subst,[],[refute_0_437:[bind(A,$fot(top)),bind(B,$fot(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))]]) ).
cnf(refute_0_4236,plain,
composition(join(one,complement(composition(complement(composition(top,complement(one))),top))),complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) = composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),
inference(subst,[],[refute_0_3215:[bind(X_147,$fot(one)),bind(X_148,$fot(complement(composition(complement(composition(top,complement(one))),top))))]]) ).
cnf(refute_0_4237,plain,
( composition(join(one,complement(composition(complement(composition(top,complement(one))),top))),complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) != composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))
| join(one,complement(composition(complement(composition(top,complement(one))),top))) != top
| composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) = composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(complement(composition(top,complement(one))),top))),complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_4238,plain,
( composition(join(one,complement(composition(complement(composition(top,complement(one))),top))),complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) != composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))
| composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) = composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(composition(top,complement(one))),top))),top) )],[refute_0_4039,refute_0_4237]) ).
cnf(refute_0_4239,plain,
composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) = composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(complement(composition(top,complement(one))),top))),complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) )],[refute_0_4236,refute_0_4238]) ).
cnf(refute_0_4240,plain,
composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) = complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))),
inference(subst,[],[refute_0_458:[bind(X_36,$fot(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))]]) ).
cnf(refute_0_4241,plain,
( composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) != complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))
| composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) != composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))
| composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) = complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) ),[1],$fot(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))]]) ).
cnf(refute_0_4242,plain,
( composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) != composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))
| composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) = complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) )],[refute_0_4240,refute_0_4241]) ).
cnf(refute_0_4243,plain,
composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) = complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(one,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) )],[refute_0_4239,refute_0_4242]) ).
cnf(refute_0_4244,plain,
( composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) != complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))
| join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))) != complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))
| join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) = complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) ),[0,1,1,0],$fot(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))]]) ).
cnf(refute_0_4245,plain,
( join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))) != complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))
| join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) = complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) )],[refute_0_4243,refute_0_4244]) ).
cnf(refute_0_4246,plain,
join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) = complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) )],[refute_0_4235,refute_0_4245]) ).
cnf(refute_0_4247,plain,
composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(complement(composition(complement(composition(top,complement(one))),top)))),bind(C,$fot(top))]]) ).
cnf(refute_0_4248,plain,
converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)) = converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)))]]) ).
cnf(refute_0_4249,plain,
( composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top) != composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)) != converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top))
| converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)) = converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)),converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top))) ),[1,0],$fot(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))]]) ).
cnf(refute_0_4250,plain,
( composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top) != composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)) = converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)),converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top))) )],[refute_0_4248,refute_0_4249]) ).
cnf(refute_0_4251,plain,
converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)) = converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top),composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) )],[refute_0_4247,refute_0_4250]) ).
cnf(refute_0_4252,plain,
composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) = converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)),
inference(subst,[],[refute_0_2172:[bind(A,$fot(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))]]) ).
cnf(refute_0_4253,plain,
( composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) != converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top))
| converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)) != converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) = converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),bind(Y,$fot(converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)))),bind(Z,$fot(converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))]]) ).
cnf(refute_0_4254,plain,
( converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)) != converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) = converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))),converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top))) )],[refute_0_4252,refute_0_4253]) ).
cnf(refute_0_4255,plain,
composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) = converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(composition(complement(composition(top,complement(one))),top))),top)),converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) )],[refute_0_4251,refute_0_4254]) ).
cnf(refute_0_4256,plain,
complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) = converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))]]) ).
cnf(refute_0_4257,plain,
composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),
introduced(tautology,[refl,[$fot(composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))]]) ).
cnf(refute_0_4258,plain,
( complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) != converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))
| composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) != composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))
| composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) ),[1,1],$fot(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))]]) ).
cnf(refute_0_4259,plain,
( complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) != converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))
| composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) )],[refute_0_4257,refute_0_4258]) ).
cnf(refute_0_4260,plain,
composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) )],[refute_0_4256,refute_0_4259]) ).
cnf(refute_0_4261,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))]]) ).
cnf(refute_0_4262,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4263,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) )],[refute_0_4261,refute_0_4262]) ).
cnf(refute_0_4264,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_2910,refute_0_4263]) ).
cnf(refute_0_4265,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) != composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))
| composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) != composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))),bind(Y,$fot(composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))),bind(Z,$fot(composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))]]) ).
cnf(refute_0_4266,plain,
( composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) != composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) )],[refute_0_4264,refute_0_4265]) ).
cnf(refute_0_4267,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) )],[refute_0_4260,refute_0_4266]) ).
cnf(refute_0_4268,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) != composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))
| composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) != converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))),bind(Y,$fot(composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),bind(Z,$fot(converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))]]) ).
cnf(refute_0_4269,plain,
( composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) != converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) )],[refute_0_4267,refute_0_4268]) ).
cnf(refute_0_4270,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))),converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) )],[refute_0_4255,refute_0_4269]) ).
cnf(refute_0_4271,plain,
composition(join(converse(top),one),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),
inference(subst,[],[refute_0_79:[bind(X_150,$fot(converse(top))),bind(X_151,$fot(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))]]) ).
cnf(refute_0_4272,plain,
join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) = composition(join(converse(top),one),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),
inference(subst,[],[refute_0_73:[bind(X_147,$fot(converse(top))),bind(X_149,$fot(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))]]) ).
cnf(refute_0_4273,plain,
( composition(join(converse(top),one),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))
| join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) != composition(join(converse(top),one),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))
| join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))))),bind(Y,$fot(composition(join(converse(top),one),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))),bind(Z,$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))))]]) ).
cnf(refute_0_4274,plain,
( composition(join(converse(top),one),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))
| join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))),composition(join(converse(top),one),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) )],[refute_0_4272,refute_0_4273]) ).
cnf(refute_0_4275,plain,
join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) )],[refute_0_4271,refute_0_4274]) ).
cnf(refute_0_4276,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) != converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))
| join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) = converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))))),bind(Y,$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))))),bind(Z,$fot(converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))]]) ).
cnf(refute_0_4277,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) != converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) = converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) )],[refute_0_4275,refute_0_4276]) ).
cnf(refute_0_4278,plain,
join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) = converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))),converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) )],[refute_0_4270,refute_0_4277]) ).
cnf(refute_0_4279,plain,
( join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) != complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))
| join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) != converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) ),[0],$fot(converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))))]]) ).
cnf(refute_0_4280,plain,
( join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) != complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))
| converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))),converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) )],[refute_0_4278,refute_0_4279]) ).
cnf(refute_0_4281,plain,
( complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))) != converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))
| converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) != complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))
| converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) ),[1],$fot(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))]]) ).
cnf(refute_0_4282,plain,
( converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) != complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))
| converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) )],[refute_0_4256,refute_0_4281]) ).
cnf(refute_0_4283,plain,
( join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))) != complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))
| converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) )],[refute_0_4280,refute_0_4282]) ).
cnf(refute_0_4284,plain,
converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))),composition(converse(top),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))))),complement(complement(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))))) )],[refute_0_4246,refute_0_4283]) ).
cnf(refute_0_4285,plain,
( converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) != converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))
| converse(converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) != composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| converse(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),[0,0],$fot(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))]]) ).
cnf(refute_0_4286,plain,
( converse(converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) != composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| converse(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))),converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) )],[refute_0_4284,refute_0_4285]) ).
cnf(refute_0_4287,plain,
converse(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) )],[refute_0_4234,refute_0_4286]) ).
cnf(refute_0_4288,plain,
converse(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) = composition(top,complement(composition(complement(composition(top,complement(one))),top))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))]]) ).
cnf(refute_0_4289,plain,
( converse(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) != composition(top,complement(composition(complement(composition(top,complement(one))),top)))
| converse(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) != composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))),composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),[0],$fot(composition(top,complement(composition(complement(composition(top,complement(one))),top))))]]) ).
cnf(refute_0_4290,plain,
( converse(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))) != composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) )],[refute_0_4288,refute_0_4289]) ).
cnf(refute_0_4291,plain,
composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(composition(complement(composition(top,complement(one))),top))))),composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) )],[refute_0_4287,refute_0_4290]) ).
cnf(refute_0_4292,plain,
( composition(top,complement(composition(complement(composition(top,complement(one))),top))) != composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)) = composition(top,complement(composition(complement(composition(top,complement(one))),top))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,complement(composition(complement(composition(top,complement(one))),top))))),bind(Y,$fot(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))))]]) ).
cnf(refute_0_4293,plain,
composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)) = composition(top,complement(composition(complement(composition(top,complement(one))),top))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(composition(top,complement(one))),top))),composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) )],[refute_0_4291,refute_0_4292]) ).
cnf(refute_0_4294,plain,
complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) = composition(complement(composition(complement(composition(top,complement(one))),top)),top),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))]]) ).
cnf(refute_0_4295,plain,
composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),
introduced(tautology,[refl,[$fot(composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))]]) ).
cnf(refute_0_4296,plain,
( complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) != composition(complement(composition(complement(composition(top,complement(one))),top)),top)
| composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) != composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))
| composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) ),[1,1],$fot(composition(complement(composition(complement(composition(top,complement(one))),top)),top))]]) ).
cnf(refute_0_4297,plain,
( complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) != composition(complement(composition(complement(composition(top,complement(one))),top)),top)
| composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) )],[refute_0_4295,refute_0_4296]) ).
cnf(refute_0_4298,plain,
composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(complement(composition(complement(composition(top,complement(one))),top)),top)) )],[refute_0_4294,refute_0_4297]) ).
cnf(refute_0_4299,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))]]) ).
cnf(refute_0_4300,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) != composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4301,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) )],[refute_0_4299,refute_0_4300]) ).
cnf(refute_0_4302,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_2910,refute_0_4301]) ).
cnf(refute_0_4303,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) != composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))
| composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) != composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))),bind(Y,$fot(composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))),bind(Z,$fot(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))))]]) ).
cnf(refute_0_4304,plain,
( composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) != composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) )],[refute_0_4302,refute_0_4303]) ).
cnf(refute_0_4305,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) )],[refute_0_4298,refute_0_4304]) ).
cnf(refute_0_4306,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) != composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)) != composition(top,complement(composition(complement(composition(top,complement(one))),top)))
| composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,complement(composition(complement(composition(top,complement(one))),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))),bind(Y,$fot(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),bind(Z,$fot(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))]]) ).
cnf(refute_0_4307,plain,
( composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)) != composition(top,complement(composition(complement(composition(top,complement(one))),top)))
| composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,complement(composition(complement(composition(top,complement(one))),top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top))) )],[refute_0_4305,refute_0_4306]) ).
cnf(refute_0_4308,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(top,complement(composition(complement(composition(top,complement(one))),top))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(complement(composition(top,complement(one))),top)),top)),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) )],[refute_0_4293,refute_0_4307]) ).
cnf(refute_0_4309,plain,
composition(join(converse(top),one),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) = composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),
inference(subst,[],[refute_0_79:[bind(X_150,$fot(converse(top))),bind(X_151,$fot(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))]]) ).
cnf(refute_0_4310,plain,
join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) = composition(join(converse(top),one),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),
inference(subst,[],[refute_0_73:[bind(X_147,$fot(converse(top))),bind(X_149,$fot(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))]]) ).
cnf(refute_0_4311,plain,
( composition(join(converse(top),one),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) != composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))
| join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) != composition(join(converse(top),one),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))
| join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) = composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))))),bind(Y,$fot(composition(join(converse(top),one),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))),bind(Z,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))))]]) ).
cnf(refute_0_4312,plain,
( composition(join(converse(top),one),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) != composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))
| join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) = composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))),composition(join(converse(top),one),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) )],[refute_0_4310,refute_0_4311]) ).
cnf(refute_0_4313,plain,
join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) = composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) )],[refute_0_4309,refute_0_4312]) ).
cnf(refute_0_4314,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) != composition(top,complement(composition(complement(composition(top,complement(one))),top)))
| join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) != composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))
| join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) = composition(top,complement(composition(complement(composition(top,complement(one))),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))))),bind(Y,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))))),bind(Z,$fot(composition(top,complement(composition(complement(composition(top,complement(one))),top)))))]]) ).
cnf(refute_0_4315,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) != composition(top,complement(composition(complement(composition(top,complement(one))),top)))
| join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) = composition(top,complement(composition(complement(composition(top,complement(one))),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))),composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) )],[refute_0_4313,refute_0_4314]) ).
cnf(refute_0_4316,plain,
join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) = composition(top,complement(composition(complement(composition(top,complement(one))),top))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) )],[refute_0_4308,refute_0_4315]) ).
cnf(refute_0_4317,plain,
( join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) != complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) != composition(top,complement(composition(complement(composition(top,complement(one))),top)))
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) = complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) ),[0],$fot(composition(top,complement(composition(complement(composition(top,complement(one))),top))))]]) ).
cnf(refute_0_4318,plain,
( join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) != complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) = complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) )],[refute_0_4316,refute_0_4317]) ).
cnf(refute_0_4319,plain,
( complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))) != composition(complement(composition(complement(composition(top,complement(one))),top)),top)
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) != complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(complement(composition(complement(composition(top,complement(one))),top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(composition(top,complement(one))),top))),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) ),[1],$fot(composition(complement(composition(complement(composition(top,complement(one))),top)),top))]]) ).
cnf(refute_0_4320,plain,
( composition(top,complement(composition(complement(composition(top,complement(one))),top))) != complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(complement(composition(complement(composition(top,complement(one))),top)),top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(complement(composition(complement(composition(top,complement(one))),top)),top)) )],[refute_0_4294,refute_0_4319]) ).
cnf(refute_0_4321,plain,
( join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))) != complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(complement(composition(complement(composition(top,complement(one))),top)),top) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(composition(top,complement(one))),top))),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) )],[refute_0_4318,refute_0_4320]) ).
cnf(refute_0_4322,plain,
composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(complement(composition(complement(composition(top,complement(one))),top)),top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))),composition(converse(top),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top))))),complement(complement(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))) )],[refute_0_4233,refute_0_4321]) ).
cnf(refute_0_4323,plain,
( composition(top,complement(composition(complement(composition(top,complement(one))),top))) != composition(complement(composition(complement(composition(top,complement(one))),top)),top)
| composition(complement(composition(complement(composition(top,complement(one))),top)),top) = composition(top,complement(composition(complement(composition(top,complement(one))),top))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,complement(composition(complement(composition(top,complement(one))),top))))),bind(Y,$fot(composition(complement(composition(complement(composition(top,complement(one))),top)),top)))]]) ).
cnf(refute_0_4324,plain,
composition(complement(composition(complement(composition(top,complement(one))),top)),top) = composition(top,complement(composition(complement(composition(top,complement(one))),top))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(composition(top,complement(one))),top))),composition(complement(composition(complement(composition(top,complement(one))),top)),top)) )],[refute_0_4322,refute_0_4323]) ).
cnf(refute_0_4325,plain,
( composition(complement(composition(complement(composition(top,complement(one))),top)),top) != composition(top,complement(composition(complement(composition(top,complement(one))),top)))
| composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) != join(composition(A,top),composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) = join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top),join(composition(A,top),composition(complement(composition(complement(composition(top,complement(one))),top)),top))) ),[1,1],$fot(composition(top,complement(composition(complement(composition(top,complement(one))),top))))]]) ).
cnf(refute_0_4326,plain,
( composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) != join(composition(A,top),composition(complement(composition(complement(composition(top,complement(one))),top)),top))
| composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) = join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,complement(one))),top)),top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) )],[refute_0_4324,refute_0_4325]) ).
cnf(refute_0_4327,plain,
composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) = join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))),
inference(resolve,[$cnf( $equal(composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top),join(composition(A,top),composition(complement(composition(complement(composition(top,complement(one))),top)),top))) )],[refute_0_3994,refute_0_4326]) ).
cnf(refute_0_4328,plain,
complement(complement(composition(top,complement(one)))) = composition(top,complement(one)),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_4329,plain,
composition(complement(composition(top,complement(one))),top) = meet(composition(complement(composition(top,complement(one))),top),join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top))),
inference(subst,[],[refute_0_1221:[bind(X_125,$fot(complement(composition(top,complement(one))))),bind(X_126,$fot(composition(complement(composition(top,complement(one))),top)))]]) ).
cnf(refute_0_4330,plain,
join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))) = complement(composition(top,complement(one))),
inference(subst,[],[refute_0_437:[bind(A,$fot(complement(composition(top,complement(one))))),bind(B,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_4331,plain,
join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(composition(top,complement(composition(top,X_185))))))) = complement(converse(top)),
inference(subst,[],[refute_0_1352:[bind(X_34,$fot(top)),bind(X_35,$fot(complement(composition(top,X_185))))]]) ).
cnf(refute_0_4332,plain,
( composition(top,complement(composition(top,X_185))) != complement(composition(top,X_185))
| join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(composition(top,complement(composition(top,X_185))))))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(composition(top,complement(composition(top,X_185))))))),complement(converse(top))) ),[0,1,1,0,0],$fot(complement(composition(top,X_185)))]]) ).
cnf(refute_0_4333,plain,
( join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(composition(top,complement(composition(top,X_185))))))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_185))),complement(composition(top,X_185))) )],[refute_0_2952,refute_0_4332]) ).
cnf(refute_0_4334,plain,
join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(composition(top,complement(composition(top,X_185))))))),complement(converse(top))) )],[refute_0_4331,refute_0_4333]) ).
cnf(refute_0_4335,plain,
join(zero,composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) = composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))))]]) ).
cnf(refute_0_4336,plain,
join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) = join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))))]]) ).
cnf(refute_0_4337,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) != join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))))
| join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) = join(zero,composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))),join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4338,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) = join(zero,composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))),join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))))) )],[refute_0_4336,refute_0_4337]) ).
cnf(refute_0_4339,plain,
join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) = join(zero,composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2129,refute_0_4338]) ).
cnf(refute_0_4340,plain,
( join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) != join(zero,composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))))
| join(zero,composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) != composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))
| join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) = composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))))),bind(Y,$fot(join(zero,composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))))),bind(Z,$fot(composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))))]]) ).
cnf(refute_0_4341,plain,
( join(zero,composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) != composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))
| join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) = composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))),join(zero,composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))))) )],[refute_0_4339,refute_0_4340]) ).
cnf(refute_0_4342,plain,
join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) = composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) )],[refute_0_4335,refute_0_4341]) ).
cnf(refute_0_4343,plain,
( join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) != composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))
| composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))),complement(converse(top))) ),[0],$fot(composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))))]]) ).
cnf(refute_0_4344,plain,
( join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) != complement(converse(top))
| composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) )],[refute_0_4342,refute_0_4343]) ).
cnf(refute_0_4345,plain,
( complement(converse(top)) != zero
| composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) != complement(converse(top))
| composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))),complement(converse(top))) ),[1],$fot(zero)]]) ).
cnf(refute_0_4346,plain,
( composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) != complement(converse(top))
| composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2129,refute_0_4345]) ).
cnf(refute_0_4347,plain,
( join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) != complement(converse(top))
| composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))),complement(converse(top))) )],[refute_0_4344,refute_0_4346]) ).
cnf(refute_0_4348,plain,
composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) = zero,
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))),complement(converse(top))) )],[refute_0_4334,refute_0_4347]) ).
cnf(refute_0_4349,plain,
complement(complement(converse(composition(top,X_185)))) = converse(composition(top,X_185)),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(converse(composition(top,X_185))))]]) ).
cnf(refute_0_4350,plain,
converse(complement(composition(top,X_185))) = complement(converse(composition(top,X_185))),
inference(subst,[],[refute_0_2565:[bind(X_183,$fot(composition(top,X_185)))]]) ).
cnf(refute_0_4351,plain,
complement(converse(complement(composition(top,X_185)))) = complement(converse(complement(composition(top,X_185)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(top,X_185)))))]]) ).
cnf(refute_0_4352,plain,
( complement(converse(complement(composition(top,X_185)))) != complement(converse(complement(composition(top,X_185))))
| converse(complement(composition(top,X_185))) != complement(converse(composition(top,X_185)))
| complement(converse(complement(composition(top,X_185)))) = complement(complement(converse(composition(top,X_185)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,X_185)))),complement(converse(complement(composition(top,X_185))))) ),[1,0],$fot(complement(converse(composition(top,X_185))))]]) ).
cnf(refute_0_4353,plain,
( converse(complement(composition(top,X_185))) != complement(converse(composition(top,X_185)))
| complement(converse(complement(composition(top,X_185)))) = complement(complement(converse(composition(top,X_185)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,X_185)))),complement(converse(complement(composition(top,X_185))))) )],[refute_0_4351,refute_0_4352]) ).
cnf(refute_0_4354,plain,
complement(converse(complement(composition(top,X_185)))) = complement(complement(converse(composition(top,X_185)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,X_185))),complement(converse(composition(top,X_185)))) )],[refute_0_4350,refute_0_4353]) ).
cnf(refute_0_4355,plain,
( complement(complement(converse(composition(top,X_185)))) != converse(composition(top,X_185))
| complement(converse(complement(composition(top,X_185)))) != complement(complement(converse(composition(top,X_185))))
| complement(converse(complement(composition(top,X_185)))) = converse(composition(top,X_185)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(converse(complement(composition(top,X_185)))))),bind(Y,$fot(complement(complement(converse(composition(top,X_185)))))),bind(Z,$fot(converse(composition(top,X_185))))]]) ).
cnf(refute_0_4356,plain,
( complement(complement(converse(composition(top,X_185)))) != converse(composition(top,X_185))
| complement(converse(complement(composition(top,X_185)))) = converse(composition(top,X_185)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,X_185)))),complement(complement(converse(composition(top,X_185))))) )],[refute_0_4354,refute_0_4355]) ).
cnf(refute_0_4357,plain,
complement(converse(complement(composition(top,X_185)))) = converse(composition(top,X_185)),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,X_185)))),converse(composition(top,X_185))) )],[refute_0_4349,refute_0_4356]) ).
cnf(refute_0_4358,plain,
composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) = composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))))]]) ).
cnf(refute_0_4359,plain,
( complement(converse(complement(composition(top,X_185)))) != converse(composition(top,X_185))
| composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) != composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))
| composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) = composition(complement(composition(top,X_185)),converse(composition(top,X_185))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) ),[1,1],$fot(converse(composition(top,X_185)))]]) ).
cnf(refute_0_4360,plain,
( complement(converse(complement(composition(top,X_185)))) != converse(composition(top,X_185))
| composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) = composition(complement(composition(top,X_185)),converse(composition(top,X_185))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))),composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185)))))) )],[refute_0_4358,refute_0_4359]) ).
cnf(refute_0_4361,plain,
composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) = composition(complement(composition(top,X_185)),converse(composition(top,X_185))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,X_185)))),converse(composition(top,X_185))) )],[refute_0_4357,refute_0_4360]) ).
cnf(refute_0_4362,plain,
( composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) != composition(complement(composition(top,X_185)),converse(composition(top,X_185)))
| composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) != zero
| composition(complement(composition(top,X_185)),converse(composition(top,X_185))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))),zero) ),[0],$fot(composition(complement(composition(top,X_185)),converse(composition(top,X_185))))]]) ).
cnf(refute_0_4363,plain,
( composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))) != zero
| composition(complement(composition(top,X_185)),converse(composition(top,X_185))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))),composition(complement(composition(top,X_185)),converse(composition(top,X_185)))) )],[refute_0_4361,refute_0_4362]) ).
cnf(refute_0_4364,plain,
composition(complement(composition(top,X_185)),converse(composition(top,X_185))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_185)),complement(converse(complement(composition(top,X_185))))),zero) )],[refute_0_4348,refute_0_4363]) ).
cnf(refute_0_4365,plain,
composition(complement(composition(top,complement(one))),converse(composition(top,complement(one)))) = zero,
inference(subst,[],[refute_0_4364:[bind(X_185,$fot(complement(one)))]]) ).
cnf(refute_0_4366,plain,
( composition(complement(composition(top,complement(one))),converse(composition(top,complement(one)))) != zero
| converse(composition(top,complement(one))) != composition(top,complement(one))
| composition(complement(composition(top,complement(one))),composition(top,complement(one))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(one))),converse(composition(top,complement(one)))),zero) ),[0,1],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_4367,plain,
( composition(complement(composition(top,complement(one))),converse(composition(top,complement(one)))) != zero
| composition(complement(composition(top,complement(one))),composition(top,complement(one))) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_3609,refute_0_4366]) ).
cnf(refute_0_4368,plain,
composition(complement(composition(top,complement(one))),composition(top,complement(one))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),converse(composition(top,complement(one)))),zero) )],[refute_0_4365,refute_0_4367]) ).
cnf(refute_0_4369,plain,
( composition(complement(composition(top,complement(one))),composition(top,complement(one))) != zero
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))) != complement(composition(top,complement(one)))
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = complement(composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))),complement(composition(top,complement(one)))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_4370,plain,
( join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))) != complement(composition(top,complement(one)))
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),composition(top,complement(one))),zero) )],[refute_0_4368,refute_0_4369]) ).
cnf(refute_0_4371,plain,
join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))),complement(composition(top,complement(one)))) )],[refute_0_4330,refute_0_4370]) ).
cnf(refute_0_4372,plain,
composition(complement(composition(top,complement(one))),complement(zero)) = composition(complement(composition(top,complement(one))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(one))),complement(zero)))]]) ).
cnf(refute_0_4373,plain,
( complement(zero) != top
| composition(complement(composition(top,complement(one))),complement(zero)) != composition(complement(composition(top,complement(one))),complement(zero))
| composition(complement(composition(top,complement(one))),complement(zero)) = composition(complement(composition(top,complement(one))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(zero)),composition(complement(composition(top,complement(one))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4374,plain,
( complement(zero) != top
| composition(complement(composition(top,complement(one))),complement(zero)) = composition(complement(composition(top,complement(one))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(zero)),composition(complement(composition(top,complement(one))),complement(zero))) )],[refute_0_4372,refute_0_4373]) ).
cnf(refute_0_4375,plain,
composition(complement(composition(top,complement(one))),complement(zero)) = composition(complement(composition(top,complement(one))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1014,refute_0_4374]) ).
cnf(refute_0_4376,plain,
( complement(converse(composition(top,complement(one)))) != complement(converse(composition(top,complement(one))))
| converse(composition(top,complement(one))) != composition(top,complement(one))
| complement(converse(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(converse(composition(top,complement(one))))) ),[1,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_4377,plain,
( converse(composition(top,complement(one))) != composition(top,complement(one))
| complement(converse(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(converse(composition(top,complement(one))))) )],[refute_0_3853,refute_0_4376]) ).
cnf(refute_0_4378,plain,
complement(converse(composition(top,complement(one)))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_3609,refute_0_4377]) ).
cnf(refute_0_4379,plain,
converse(complement(composition(top,complement(one)))) = complement(converse(composition(top,complement(one)))),
inference(subst,[],[refute_0_2565:[bind(X_183,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_4380,plain,
( complement(converse(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| converse(complement(composition(top,complement(one)))) != complement(converse(composition(top,complement(one))))
| converse(complement(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(complement(composition(top,complement(one)))))),bind(Y,$fot(complement(converse(composition(top,complement(one)))))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_4381,plain,
( complement(converse(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| converse(complement(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(one)))),complement(converse(composition(top,complement(one))))) )],[refute_0_4379,refute_0_4380]) ).
cnf(refute_0_4382,plain,
converse(complement(composition(top,complement(one)))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_4378,refute_0_4381]) ).
cnf(refute_0_4383,plain,
composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(converse(complement(composition(top,complement(one)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(top,complement(one)))),complement(zero)))]]) ).
cnf(refute_0_4384,plain,
( composition(converse(complement(composition(top,complement(one)))),complement(zero)) != composition(converse(complement(composition(top,complement(one)))),complement(zero))
| converse(complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,complement(one)))),complement(zero)),composition(converse(complement(composition(top,complement(one)))),complement(zero))) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).
cnf(refute_0_4385,plain,
( converse(complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(one)))),complement(zero)),composition(converse(complement(composition(top,complement(one)))),complement(zero))) )],[refute_0_4383,refute_0_4384]) ).
cnf(refute_0_4386,plain,
composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_4382,refute_0_4385]) ).
cnf(refute_0_4387,plain,
( composition(complement(composition(top,complement(one))),complement(zero)) != composition(complement(composition(top,complement(one))),top)
| composition(converse(complement(composition(top,complement(one)))),complement(zero)) != composition(complement(composition(top,complement(one))),complement(zero))
| composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(complement(composition(top,complement(one)))),complement(zero)))),bind(Y,$fot(composition(complement(composition(top,complement(one))),complement(zero)))),bind(Z,$fot(composition(complement(composition(top,complement(one))),top)))]]) ).
cnf(refute_0_4388,plain,
( composition(complement(composition(top,complement(one))),complement(zero)) != composition(complement(composition(top,complement(one))),top)
| composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(one)))),complement(zero)),composition(complement(composition(top,complement(one))),complement(zero))) )],[refute_0_4386,refute_0_4387]) ).
cnf(refute_0_4389,plain,
composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(zero)),composition(complement(composition(top,complement(one))),top)) )],[refute_0_4375,refute_0_4388]) ).
cnf(refute_0_4390,plain,
join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))))]]) ).
cnf(refute_0_4391,plain,
( composition(converse(complement(composition(top,complement(one)))),complement(zero)) != composition(complement(composition(top,complement(one))),top)
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) != join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero)))
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(top,complement(one))),top))]]) ).
cnf(refute_0_4392,plain,
( composition(converse(complement(composition(top,complement(one)))),complement(zero)) != composition(complement(composition(top,complement(one))),top)
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero)))) )],[refute_0_4390,refute_0_4391]) ).
cnf(refute_0_4393,plain,
join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(one)))),complement(zero)),composition(complement(composition(top,complement(one))),top)) )],[refute_0_4389,refute_0_4392]) ).
cnf(refute_0_4394,plain,
( join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) != complement(composition(top,complement(one)))
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) != join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top))
| join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = complement(composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),complement(composition(top,complement(one)))) ),[0],$fot(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)))]]) ).
cnf(refute_0_4395,plain,
( join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) != complement(composition(top,complement(one)))
| join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top))) )],[refute_0_4393,refute_0_4394]) ).
cnf(refute_0_4396,plain,
join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),complement(composition(top,complement(one)))) )],[refute_0_4371,refute_0_4395]) ).
cnf(refute_0_4397,plain,
( composition(complement(composition(top,complement(one))),top) != meet(composition(complement(composition(top,complement(one))),top),join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)))
| join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) != complement(composition(top,complement(one)))
| composition(complement(composition(top,complement(one))),top) = meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(one))),top),meet(composition(complement(composition(top,complement(one))),top),join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)))) ),[1,1],$fot(complement(composition(top,complement(one))))]]) ).
cnf(refute_0_4398,plain,
( composition(complement(composition(top,complement(one))),top) != meet(composition(complement(composition(top,complement(one))),top),join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)))
| composition(complement(composition(top,complement(one))),top) = meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),complement(composition(top,complement(one)))) )],[refute_0_4396,refute_0_4397]) ).
cnf(refute_0_4399,plain,
composition(complement(composition(top,complement(one))),top) = meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),top),meet(composition(complement(composition(top,complement(one))),top),join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)))) )],[refute_0_4329,refute_0_4398]) ).
cnf(refute_0_4400,plain,
meet(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = complement(composition(top,complement(one))),
inference(subst,[],[refute_0_2627:[bind(X_41,$fot(complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_4401,plain,
meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) = meet(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(complement(composition(top,complement(one))))),bind(X_16,$fot(composition(complement(composition(top,complement(one))),top)))]]) ).
cnf(refute_0_4402,plain,
( meet(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) != complement(composition(top,complement(one)))
| meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) != meet(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top))
| meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))))),bind(Y,$fot(meet(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_4403,plain,
( meet(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) != complement(composition(top,complement(one)))
| meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))),meet(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top))) )],[refute_0_4401,refute_0_4402]) ).
cnf(refute_0_4404,plain,
meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),complement(composition(top,complement(one)))) )],[refute_0_4400,refute_0_4403]) ).
cnf(refute_0_4405,plain,
( composition(complement(composition(top,complement(one))),top) != meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one))))
| meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| composition(complement(composition(top,complement(one))),top) = complement(composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) ),[0],$fot(meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_4406,plain,
( composition(complement(composition(top,complement(one))),top) != meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one))))
| composition(complement(composition(top,complement(one))),top) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_4404,refute_0_4405]) ).
cnf(refute_0_4407,plain,
composition(complement(composition(top,complement(one))),top) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),top),meet(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one))))) )],[refute_0_4399,refute_0_4406]) ).
cnf(refute_0_4408,plain,
complement(composition(complement(composition(top,complement(one))),top)) = complement(composition(complement(composition(top,complement(one))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(composition(top,complement(one))),top)))]]) ).
cnf(refute_0_4409,plain,
( complement(composition(complement(composition(top,complement(one))),top)) != complement(composition(complement(composition(top,complement(one))),top))
| composition(complement(composition(top,complement(one))),top) != complement(composition(top,complement(one)))
| complement(composition(complement(composition(top,complement(one))),top)) = complement(complement(composition(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(composition(top,complement(one))),top)),complement(composition(complement(composition(top,complement(one))),top))) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).
cnf(refute_0_4410,plain,
( composition(complement(composition(top,complement(one))),top) != complement(composition(top,complement(one)))
| complement(composition(complement(composition(top,complement(one))),top)) = complement(complement(composition(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(top,complement(one))),top)),complement(composition(complement(composition(top,complement(one))),top))) )],[refute_0_4408,refute_0_4409]) ).
cnf(refute_0_4411,plain,
complement(composition(complement(composition(top,complement(one))),top)) = complement(complement(composition(top,complement(one)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) )],[refute_0_4407,refute_0_4410]) ).
cnf(refute_0_4412,plain,
( complement(complement(composition(top,complement(one)))) != composition(top,complement(one))
| complement(composition(complement(composition(top,complement(one))),top)) != complement(complement(composition(top,complement(one))))
| complement(composition(complement(composition(top,complement(one))),top)) = composition(top,complement(one)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(composition(complement(composition(top,complement(one))),top)))),bind(Y,$fot(complement(complement(composition(top,complement(one)))))),bind(Z,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_4413,plain,
( complement(complement(composition(top,complement(one)))) != composition(top,complement(one))
| complement(composition(complement(composition(top,complement(one))),top)) = composition(top,complement(one)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(top,complement(one))),top)),complement(complement(composition(top,complement(one))))) )],[refute_0_4411,refute_0_4412]) ).
cnf(refute_0_4414,plain,
complement(composition(complement(composition(top,complement(one))),top)) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,complement(one)))),composition(top,complement(one))) )],[refute_0_4328,refute_0_4413]) ).
cnf(refute_0_4415,plain,
join(A,complement(composition(complement(composition(top,complement(one))),top))) = join(A,complement(composition(complement(composition(top,complement(one))),top))),
introduced(tautology,[refl,[$fot(join(A,complement(composition(complement(composition(top,complement(one))),top))))]]) ).
cnf(refute_0_4416,plain,
( complement(composition(complement(composition(top,complement(one))),top)) != composition(top,complement(one))
| join(A,complement(composition(complement(composition(top,complement(one))),top))) != join(A,complement(composition(complement(composition(top,complement(one))),top)))
| join(A,complement(composition(complement(composition(top,complement(one))),top))) = join(A,composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,complement(composition(complement(composition(top,complement(one))),top))),join(A,complement(composition(complement(composition(top,complement(one))),top)))) ),[1,1],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_4417,plain,
( complement(composition(complement(composition(top,complement(one))),top)) != composition(top,complement(one))
| join(A,complement(composition(complement(composition(top,complement(one))),top))) = join(A,composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(A,complement(composition(complement(composition(top,complement(one))),top))),join(A,complement(composition(complement(composition(top,complement(one))),top)))) )],[refute_0_4415,refute_0_4416]) ).
cnf(refute_0_4418,plain,
join(A,complement(composition(complement(composition(top,complement(one))),top))) = join(A,composition(top,complement(one))),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(top,complement(one))),top)),composition(top,complement(one))) )],[refute_0_4414,refute_0_4417]) ).
cnf(refute_0_4419,plain,
composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) = composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top),
introduced(tautology,[refl,[$fot(composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top))]]) ).
cnf(refute_0_4420,plain,
( composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) != composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top)
| join(A,complement(composition(complement(composition(top,complement(one))),top))) != join(A,composition(top,complement(one)))
| composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) = composition(join(A,composition(top,complement(one))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top),composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top)) ),[1,0],$fot(join(A,composition(top,complement(one))))]]) ).
cnf(refute_0_4421,plain,
( join(A,complement(composition(complement(composition(top,complement(one))),top))) != join(A,composition(top,complement(one)))
| composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) = composition(join(A,composition(top,complement(one))),top) ),
inference(resolve,[$cnf( $equal(composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top),composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top)) )],[refute_0_4419,refute_0_4420]) ).
cnf(refute_0_4422,plain,
composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) = composition(join(A,composition(top,complement(one))),top),
inference(resolve,[$cnf( $equal(join(A,complement(composition(complement(composition(top,complement(one))),top))),join(A,composition(top,complement(one)))) )],[refute_0_4418,refute_0_4421]) ).
cnf(refute_0_4423,plain,
( composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) != composition(join(A,composition(top,complement(one))),top)
| composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) != join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top))))
| composition(join(A,composition(top,complement(one))),top) = join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top),join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top))))) ),[0],$fot(composition(join(A,composition(top,complement(one))),top))]]) ).
cnf(refute_0_4424,plain,
( composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) != join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top))))
| composition(join(A,composition(top,complement(one))),top) = join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) ),
inference(resolve,[$cnf( $equal(composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top),composition(join(A,composition(top,complement(one))),top)) )],[refute_0_4422,refute_0_4423]) ).
cnf(refute_0_4425,plain,
composition(top,composition(top,complement(one))) = composition(top,complement(one)),
inference(subst,[],[refute_0_2895:[bind(C,$fot(complement(one)))]]) ).
cnf(refute_0_4426,plain,
composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(top,complement(composition(complement(composition(top,complement(one))),top))),
introduced(tautology,[refl,[$fot(composition(top,complement(composition(complement(composition(top,complement(one))),top))))]]) ).
cnf(refute_0_4427,plain,
( complement(composition(complement(composition(top,complement(one))),top)) != composition(top,complement(one))
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) != composition(top,complement(composition(complement(composition(top,complement(one))),top)))
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(top,composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(composition(top,complement(one))),top))),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) ),[1,1],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_4428,plain,
( complement(composition(complement(composition(top,complement(one))),top)) != composition(top,complement(one))
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(top,composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(composition(top,complement(one))),top))),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) )],[refute_0_4426,refute_0_4427]) ).
cnf(refute_0_4429,plain,
composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(top,composition(top,complement(one))),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(top,complement(one))),top)),composition(top,complement(one))) )],[refute_0_4414,refute_0_4428]) ).
cnf(refute_0_4430,plain,
( composition(top,complement(composition(complement(composition(top,complement(one))),top))) != composition(top,composition(top,complement(one)))
| composition(top,composition(top,complement(one))) != composition(top,complement(one))
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(top,complement(one)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,complement(composition(complement(composition(top,complement(one))),top))))),bind(Y,$fot(composition(top,composition(top,complement(one))))),bind(Z,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_4431,plain,
( composition(top,composition(top,complement(one))) != composition(top,complement(one))
| composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(top,complement(one)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(composition(top,complement(one))),top))),composition(top,composition(top,complement(one)))) )],[refute_0_4429,refute_0_4430]) ).
cnf(refute_0_4432,plain,
composition(top,complement(composition(complement(composition(top,complement(one))),top))) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(composition(top,composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_4425,refute_0_4431]) ).
cnf(refute_0_4433,plain,
join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) = join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))),
introduced(tautology,[refl,[$fot(join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))))]]) ).
cnf(refute_0_4434,plain,
( composition(top,complement(composition(complement(composition(top,complement(one))),top))) != composition(top,complement(one))
| join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) != join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top))))
| join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) = join(composition(A,top),composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))),join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top))))) ),[1,1],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_4435,plain,
( composition(top,complement(composition(complement(composition(top,complement(one))),top))) != composition(top,complement(one))
| join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) = join(composition(A,top),composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))),join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top))))) )],[refute_0_4433,refute_0_4434]) ).
cnf(refute_0_4436,plain,
join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) = join(composition(A,top),composition(top,complement(one))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(composition(top,complement(one))),top))),composition(top,complement(one))) )],[refute_0_4432,refute_0_4435]) ).
cnf(refute_0_4437,plain,
( composition(join(A,composition(top,complement(one))),top) != join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top))))
| join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))) != join(composition(A,top),composition(top,complement(one)))
| composition(join(A,composition(top,complement(one))),top) = join(composition(A,top),composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(A,composition(top,complement(one))),top),join(composition(A,top),composition(top,complement(one)))) ),[0],$fot(join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))))]]) ).
cnf(refute_0_4438,plain,
( composition(join(A,composition(top,complement(one))),top) != join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top))))
| composition(join(A,composition(top,complement(one))),top) = join(composition(A,top),composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top)))),join(composition(A,top),composition(top,complement(one)))) )],[refute_0_4436,refute_0_4437]) ).
cnf(refute_0_4439,plain,
( composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top) != join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top))))
| composition(join(A,composition(top,complement(one))),top) = join(composition(A,top),composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(composition(join(A,composition(top,complement(one))),top),join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top))))) )],[refute_0_4424,refute_0_4438]) ).
cnf(refute_0_4440,plain,
composition(join(A,composition(top,complement(one))),top) = join(composition(A,top),composition(top,complement(one))),
inference(resolve,[$cnf( $equal(composition(join(A,complement(composition(complement(composition(top,complement(one))),top))),top),join(composition(A,top),composition(top,complement(composition(complement(composition(top,complement(one))),top))))) )],[refute_0_4327,refute_0_4439]) ).
cnf(refute_0_4441,plain,
( composition(join(A,composition(top,complement(one))),top) != join(composition(A,top),composition(top,complement(one)))
| join(composition(A,top),composition(top,complement(one))) = composition(join(A,composition(top,complement(one))),top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(A,composition(top,complement(one))),top))),bind(Y,$fot(join(composition(A,top),composition(top,complement(one)))))]]) ).
cnf(refute_0_4442,plain,
join(composition(A,top),composition(top,complement(one))) = composition(join(A,composition(top,complement(one))),top),
inference(resolve,[$cnf( $equal(composition(join(A,composition(top,complement(one))),top),join(composition(A,top),composition(top,complement(one)))) )],[refute_0_4440,refute_0_4441]) ).
cnf(refute_0_4443,plain,
( composition(join(A,complement(one)),top) != join(composition(A,top),composition(top,complement(one)))
| join(composition(A,top),composition(top,complement(one))) != composition(join(A,composition(top,complement(one))),top)
| composition(join(A,complement(one)),top) = composition(join(A,composition(top,complement(one))),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(A,complement(one)),top),composition(join(A,composition(top,complement(one))),top)) ),[0],$fot(join(composition(A,top),composition(top,complement(one))))]]) ).
cnf(refute_0_4444,plain,
( composition(join(A,complement(one)),top) != join(composition(A,top),composition(top,complement(one)))
| composition(join(A,complement(one)),top) = composition(join(A,composition(top,complement(one))),top) ),
inference(resolve,[$cnf( $equal(join(composition(A,top),composition(top,complement(one))),composition(join(A,composition(top,complement(one))),top)) )],[refute_0_4442,refute_0_4443]) ).
cnf(refute_0_4445,plain,
composition(join(A,complement(one)),top) = composition(join(A,composition(top,complement(one))),top),
inference(resolve,[$cnf( $equal(composition(join(A,complement(one)),top),join(composition(A,top),composition(top,complement(one)))) )],[refute_0_3993,refute_0_4444]) ).
cnf(refute_0_4446,plain,
( composition(join(A,complement(one)),top) != composition(join(A,composition(top,complement(one))),top)
| composition(join(A,composition(top,complement(one))),top) = composition(join(A,complement(one)),top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(A,complement(one)),top))),bind(Y,$fot(composition(join(A,composition(top,complement(one))),top)))]]) ).
cnf(refute_0_4447,plain,
composition(join(A,composition(top,complement(one))),top) = composition(join(A,complement(one)),top),
inference(resolve,[$cnf( $equal(composition(join(A,complement(one)),top),composition(join(A,composition(top,complement(one))),top)) )],[refute_0_4445,refute_0_4446]) ).
cnf(refute_0_4448,plain,
composition(join(complement(X_205),composition(top,complement(one))),top) = composition(join(complement(X_205),complement(one)),top),
inference(subst,[],[refute_0_4447:[bind(A,$fot(complement(X_205)))]]) ).
cnf(refute_0_4449,plain,
( composition(join(complement(X_205),complement(one)),top) != composition(complement(meet(X_205,one)),top)
| composition(join(complement(X_205),composition(top,complement(one))),top) != composition(join(complement(X_205),complement(one)),top)
| composition(join(complement(X_205),composition(top,complement(one))),top) = composition(complement(meet(X_205,one)),top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(complement(X_205),composition(top,complement(one))),top))),bind(Y,$fot(composition(join(complement(X_205),complement(one)),top))),bind(Z,$fot(composition(complement(meet(X_205,one)),top)))]]) ).
cnf(refute_0_4450,plain,
( composition(join(complement(X_205),complement(one)),top) != composition(complement(meet(X_205,one)),top)
| composition(join(complement(X_205),composition(top,complement(one))),top) = composition(complement(meet(X_205,one)),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(X_205),composition(top,complement(one))),top),composition(join(complement(X_205),complement(one)),top)) )],[refute_0_4448,refute_0_4449]) ).
cnf(refute_0_4451,plain,
composition(join(complement(X_205),composition(top,complement(one))),top) = composition(complement(meet(X_205,one)),top),
inference(resolve,[$cnf( $equal(composition(join(complement(X_205),complement(one)),top),composition(complement(meet(X_205,one)),top)) )],[refute_0_3989,refute_0_4450]) ).
cnf(refute_0_4452,plain,
join(complement(X_205),composition(top,composition(top,complement(one)))) = join(complement(X_205),composition(top,composition(top,complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(X_205),composition(top,composition(top,complement(one)))))]]) ).
cnf(refute_0_4453,plain,
( composition(top,composition(top,complement(one))) != composition(top,complement(one))
| join(complement(X_205),composition(top,composition(top,complement(one)))) != join(complement(X_205),composition(top,composition(top,complement(one))))
| join(complement(X_205),composition(top,composition(top,complement(one)))) = join(complement(X_205),composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_205),composition(top,composition(top,complement(one)))),join(complement(X_205),composition(top,composition(top,complement(one))))) ),[1,1],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_4454,plain,
( composition(top,composition(top,complement(one))) != composition(top,complement(one))
| join(complement(X_205),composition(top,composition(top,complement(one)))) = join(complement(X_205),composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(X_205),composition(top,composition(top,complement(one)))),join(complement(X_205),composition(top,composition(top,complement(one))))) )],[refute_0_4452,refute_0_4453]) ).
cnf(refute_0_4455,plain,
join(complement(X_205),composition(top,composition(top,complement(one)))) = join(complement(X_205),composition(top,complement(one))),
inference(resolve,[$cnf( $equal(composition(top,composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_4425,refute_0_4454]) ).
cnf(refute_0_4456,plain,
complement(X_213) = join(meet(complement(X_213),X_42),complement(join(X_42,complement(complement(X_213))))),
inference(subst,[],[refute_0_391:[bind(X_41,$fot(complement(X_213)))]]) ).
cnf(refute_0_4457,plain,
( complement(X_213) != join(meet(complement(X_213),X_42),complement(join(X_42,complement(complement(X_213)))))
| complement(complement(X_213)) != X_213
| complement(X_213) = join(meet(complement(X_213),X_42),complement(join(X_42,X_213))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_213),join(meet(complement(X_213),X_42),complement(join(X_42,complement(complement(X_213)))))) ),[1,1,0,1],$fot(X_213)]]) ).
cnf(refute_0_4458,plain,
( complement(X_213) != join(meet(complement(X_213),X_42),complement(join(X_42,complement(complement(X_213)))))
| complement(X_213) = join(meet(complement(X_213),X_42),complement(join(X_42,X_213))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_213)),X_213) )],[refute_0_3419,refute_0_4457]) ).
cnf(refute_0_4459,plain,
complement(X_213) = join(meet(complement(X_213),X_42),complement(join(X_42,X_213))),
inference(resolve,[$cnf( $equal(complement(X_213),join(meet(complement(X_213),X_42),complement(join(X_42,complement(complement(X_213)))))) )],[refute_0_4456,refute_0_4458]) ).
cnf(refute_0_4460,plain,
join(meet(complement(X_213),X_42),complement(join(X_42,X_213))) = join(complement(join(X_42,X_213)),meet(complement(X_213),X_42)),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(join(X_42,X_213)))),bind(B,$fot(meet(complement(X_213),X_42)))]]) ).
cnf(refute_0_4461,plain,
( complement(X_213) != join(meet(complement(X_213),X_42),complement(join(X_42,X_213)))
| join(meet(complement(X_213),X_42),complement(join(X_42,X_213))) != join(complement(join(X_42,X_213)),meet(complement(X_213),X_42))
| complement(X_213) = join(complement(join(X_42,X_213)),meet(complement(X_213),X_42)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_213),join(complement(join(X_42,X_213)),meet(complement(X_213),X_42))) ),[0],$fot(join(meet(complement(X_213),X_42),complement(join(X_42,X_213))))]]) ).
cnf(refute_0_4462,plain,
( complement(X_213) != join(meet(complement(X_213),X_42),complement(join(X_42,X_213)))
| complement(X_213) = join(complement(join(X_42,X_213)),meet(complement(X_213),X_42)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_213),X_42),complement(join(X_42,X_213))),join(complement(join(X_42,X_213)),meet(complement(X_213),X_42))) )],[refute_0_4460,refute_0_4461]) ).
cnf(refute_0_4463,plain,
complement(X_213) = join(complement(join(X_42,X_213)),meet(complement(X_213),X_42)),
inference(resolve,[$cnf( $equal(complement(X_213),join(meet(complement(X_213),X_42),complement(join(X_42,X_213)))) )],[refute_0_4459,refute_0_4462]) ).
cnf(refute_0_4464,plain,
complement(meet(complement(X_684),X_685)) = join(complement(join(complement(join(X_685,X_684)),meet(complement(X_684),X_685))),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))),
inference(subst,[],[refute_0_4463:[bind(X_213,$fot(meet(complement(X_684),X_685))),bind(X_42,$fot(complement(join(X_685,X_684))))]]) ).
cnf(refute_0_4465,plain,
complement(X_684) = join(complement(join(X_685,X_684)),meet(complement(X_684),X_685)),
inference(subst,[],[refute_0_4463:[bind(X_213,$fot(X_684)),bind(X_42,$fot(X_685))]]) ).
cnf(refute_0_4466,plain,
( complement(X_684) != join(complement(join(X_685,X_684)),meet(complement(X_684),X_685))
| join(complement(join(X_685,X_684)),meet(complement(X_684),X_685)) = complement(X_684) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_684))),bind(Y,$fot(join(complement(join(X_685,X_684)),meet(complement(X_684),X_685))))]]) ).
cnf(refute_0_4467,plain,
join(complement(join(X_685,X_684)),meet(complement(X_684),X_685)) = complement(X_684),
inference(resolve,[$cnf( $equal(complement(X_684),join(complement(join(X_685,X_684)),meet(complement(X_684),X_685))) )],[refute_0_4465,refute_0_4466]) ).
cnf(refute_0_4468,plain,
( complement(meet(complement(X_684),X_685)) != join(complement(join(complement(join(X_685,X_684)),meet(complement(X_684),X_685))),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))
| join(complement(join(X_685,X_684)),meet(complement(X_684),X_685)) != complement(X_684)
| complement(meet(complement(X_684),X_685)) = join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(X_684),X_685)),join(complement(join(complement(join(X_685,X_684)),meet(complement(X_684),X_685))),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))) ),[1,0,0],$fot(complement(X_684))]]) ).
cnf(refute_0_4469,plain,
( complement(meet(complement(X_684),X_685)) != join(complement(join(complement(join(X_685,X_684)),meet(complement(X_684),X_685))),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))
| complement(meet(complement(X_684),X_685)) = join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_685,X_684)),meet(complement(X_684),X_685)),complement(X_684)) )],[refute_0_4467,refute_0_4468]) ).
cnf(refute_0_4470,plain,
complement(meet(complement(X_684),X_685)) = join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_684),X_685)),join(complement(join(complement(join(X_685,X_684)),meet(complement(X_684),X_685))),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))) )],[refute_0_4464,refute_0_4469]) ).
cnf(refute_0_4471,plain,
join(X_119,join(X_120,meet(X_643,X_119))) = join(X_120,join(X_119,meet(X_643,X_119))),
inference(subst,[],[refute_0_151:[bind(X_121,$fot(meet(X_643,X_119)))]]) ).
cnf(refute_0_4472,plain,
join(X_119,meet(X_643,X_119)) = X_119,
inference(subst,[],[refute_0_1921:[bind(X_42,$fot(X_643)),bind(X_642,$fot(X_119))]]) ).
cnf(refute_0_4473,plain,
( join(X_119,join(X_120,meet(X_643,X_119))) != join(X_120,join(X_119,meet(X_643,X_119)))
| join(X_119,meet(X_643,X_119)) != X_119
| join(X_119,join(X_120,meet(X_643,X_119))) = join(X_120,X_119) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_119,join(X_120,meet(X_643,X_119))),join(X_120,join(X_119,meet(X_643,X_119)))) ),[1,1],$fot(X_119)]]) ).
cnf(refute_0_4474,plain,
( join(X_119,join(X_120,meet(X_643,X_119))) != join(X_120,join(X_119,meet(X_643,X_119)))
| join(X_119,join(X_120,meet(X_643,X_119))) = join(X_120,X_119) ),
inference(resolve,[$cnf( $equal(join(X_119,meet(X_643,X_119)),X_119) )],[refute_0_4472,refute_0_4473]) ).
cnf(refute_0_4475,plain,
join(X_119,join(X_120,meet(X_643,X_119))) = join(X_120,X_119),
inference(resolve,[$cnf( $equal(join(X_119,join(X_120,meet(X_643,X_119))),join(X_120,join(X_119,meet(X_643,X_119)))) )],[refute_0_4471,refute_0_4474]) ).
cnf(refute_0_4476,plain,
join(X_685,join(X_684,meet(complement(X_684),X_685))) = join(X_684,X_685),
inference(subst,[],[refute_0_4475:[bind(X_119,$fot(X_685)),bind(X_120,$fot(X_684)),bind(X_643,$fot(complement(X_684)))]]) ).
cnf(refute_0_4477,plain,
join(join(X_685,X_684),meet(complement(X_684),X_685)) = join(X_685,join(X_684,meet(complement(X_684),X_685))),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_685)),bind(B,$fot(X_684)),bind(C,$fot(meet(complement(X_684),X_685)))]]) ).
cnf(refute_0_4478,plain,
( join(X_685,join(X_684,meet(complement(X_684),X_685))) != join(X_684,X_685)
| join(join(X_685,X_684),meet(complement(X_684),X_685)) != join(X_685,join(X_684,meet(complement(X_684),X_685)))
| join(join(X_685,X_684),meet(complement(X_684),X_685)) = join(X_684,X_685) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(X_685,X_684),meet(complement(X_684),X_685)))),bind(Y,$fot(join(X_685,join(X_684,meet(complement(X_684),X_685))))),bind(Z,$fot(join(X_684,X_685)))]]) ).
cnf(refute_0_4479,plain,
( join(X_685,join(X_684,meet(complement(X_684),X_685))) != join(X_684,X_685)
| join(join(X_685,X_684),meet(complement(X_684),X_685)) = join(X_684,X_685) ),
inference(resolve,[$cnf( $equal(join(join(X_685,X_684),meet(complement(X_684),X_685)),join(X_685,join(X_684,meet(complement(X_684),X_685)))) )],[refute_0_4477,refute_0_4478]) ).
cnf(refute_0_4480,plain,
join(join(X_685,X_684),meet(complement(X_684),X_685)) = join(X_684,X_685),
inference(resolve,[$cnf( $equal(join(X_685,join(X_684,meet(complement(X_684),X_685))),join(X_684,X_685)) )],[refute_0_4476,refute_0_4479]) ).
cnf(refute_0_4481,plain,
complement(join(join(X_685,X_684),meet(complement(X_684),X_685))) = complement(join(join(X_685,X_684),meet(complement(X_684),X_685))),
introduced(tautology,[refl,[$fot(complement(join(join(X_685,X_684),meet(complement(X_684),X_685))))]]) ).
cnf(refute_0_4482,plain,
( complement(join(join(X_685,X_684),meet(complement(X_684),X_685))) != complement(join(join(X_685,X_684),meet(complement(X_684),X_685)))
| join(join(X_685,X_684),meet(complement(X_684),X_685)) != join(X_684,X_685)
| complement(join(join(X_685,X_684),meet(complement(X_684),X_685))) = complement(join(X_684,X_685)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(X_685,X_684),meet(complement(X_684),X_685))),complement(join(join(X_685,X_684),meet(complement(X_684),X_685)))) ),[1,0],$fot(join(X_684,X_685))]]) ).
cnf(refute_0_4483,plain,
( join(join(X_685,X_684),meet(complement(X_684),X_685)) != join(X_684,X_685)
| complement(join(join(X_685,X_684),meet(complement(X_684),X_685))) = complement(join(X_684,X_685)) ),
inference(resolve,[$cnf( $equal(complement(join(join(X_685,X_684),meet(complement(X_684),X_685))),complement(join(join(X_685,X_684),meet(complement(X_684),X_685)))) )],[refute_0_4481,refute_0_4482]) ).
cnf(refute_0_4484,plain,
complement(join(join(X_685,X_684),meet(complement(X_684),X_685))) = complement(join(X_684,X_685)),
inference(resolve,[$cnf( $equal(join(join(X_685,X_684),meet(complement(X_684),X_685)),join(X_684,X_685)) )],[refute_0_4480,refute_0_4483]) ).
cnf(refute_0_4485,plain,
converse(complement(converse(join(B,A)))) = join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))),
inference(subst,[],[refute_0_2538:[bind(X_183,$fot(join(B,A)))]]) ).
cnf(refute_0_4486,plain,
( converse(complement(converse(join(B,A)))) != join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))
| converse(join(B,A)) != converse(join(A,B))
| converse(complement(converse(join(A,B)))) = join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(B,A)))),join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))) ),[0,0,0],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_4487,plain,
( converse(complement(converse(join(B,A)))) != join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))
| converse(complement(converse(join(A,B)))) = join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))) ),
inference(resolve,[$cnf( $equal(converse(join(B,A)),converse(join(A,B))) )],[refute_0_2084,refute_0_4486]) ).
cnf(refute_0_4488,plain,
converse(complement(converse(join(A,B)))) = join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(B,A)))),join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))) )],[refute_0_4485,refute_0_4487]) ).
cnf(refute_0_4489,plain,
join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))) = converse(complement(converse(join(B,A)))),
inference(subst,[],[refute_0_2540:[bind(X_183,$fot(join(B,A)))]]) ).
cnf(refute_0_4490,plain,
( converse(complement(converse(join(A,B)))) != join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))
| join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))) != converse(complement(converse(join(B,A))))
| converse(complement(converse(join(A,B)))) = converse(complement(converse(join(B,A)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(join(A,B)))),converse(complement(converse(join(B,A))))) ),[0],$fot(join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))))]]) ).
cnf(refute_0_4491,plain,
( converse(complement(converse(join(A,B)))) != join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))
| converse(complement(converse(join(A,B)))) = converse(complement(converse(join(B,A)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A)))))),converse(complement(converse(join(B,A))))) )],[refute_0_4489,refute_0_4490]) ).
cnf(refute_0_4492,plain,
converse(complement(converse(join(A,B)))) = converse(complement(converse(join(B,A)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(A,B)))),join(complement(join(B,A)),meet(join(B,A),converse(complement(converse(join(B,A))))))) )],[refute_0_4488,refute_0_4491]) ).
cnf(refute_0_4493,plain,
converse(converse(join(A,B))) = join(A,B),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(A,B)))]]) ).
cnf(refute_0_4494,plain,
complement(converse(converse(join(A,B)))) = complement(converse(converse(join(A,B)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(A,B)))))]]) ).
cnf(refute_0_4495,plain,
( complement(converse(converse(join(A,B)))) != complement(converse(converse(join(A,B))))
| converse(converse(join(A,B))) != join(A,B)
| complement(converse(converse(join(A,B)))) = complement(join(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(A,B)))),complement(converse(converse(join(A,B))))) ),[1,0],$fot(join(A,B))]]) ).
cnf(refute_0_4496,plain,
( converse(converse(join(A,B))) != join(A,B)
| complement(converse(converse(join(A,B)))) = complement(join(A,B)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(A,B)))),complement(converse(converse(join(A,B))))) )],[refute_0_4494,refute_0_4495]) ).
cnf(refute_0_4497,plain,
complement(converse(converse(join(A,B)))) = complement(join(A,B)),
inference(resolve,[$cnf( $equal(converse(converse(join(A,B))),join(A,B)) )],[refute_0_4493,refute_0_4496]) ).
cnf(refute_0_4498,plain,
converse(complement(converse(join(A,B)))) = complement(converse(converse(join(A,B)))),
inference(subst,[],[refute_0_2565:[bind(X_183,$fot(converse(join(A,B))))]]) ).
cnf(refute_0_4499,plain,
( complement(converse(converse(join(A,B)))) != complement(join(A,B))
| converse(complement(converse(join(A,B)))) != complement(converse(converse(join(A,B))))
| converse(complement(converse(join(A,B)))) = complement(join(A,B)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(complement(converse(join(A,B)))))),bind(Y,$fot(complement(converse(converse(join(A,B)))))),bind(Z,$fot(complement(join(A,B))))]]) ).
cnf(refute_0_4500,plain,
( complement(converse(converse(join(A,B)))) != complement(join(A,B))
| converse(complement(converse(join(A,B)))) = complement(join(A,B)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(A,B)))),complement(converse(converse(join(A,B))))) )],[refute_0_4498,refute_0_4499]) ).
cnf(refute_0_4501,plain,
converse(complement(converse(join(A,B)))) = complement(join(A,B)),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(A,B)))),complement(join(A,B))) )],[refute_0_4497,refute_0_4500]) ).
cnf(refute_0_4502,plain,
( converse(complement(converse(join(A,B)))) != complement(join(A,B))
| converse(complement(converse(join(A,B)))) != converse(complement(converse(join(B,A))))
| complement(join(A,B)) = converse(complement(converse(join(B,A)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(A,B)))),converse(complement(converse(join(B,A))))) ),[0],$fot(complement(join(A,B)))]]) ).
cnf(refute_0_4503,plain,
( converse(complement(converse(join(A,B)))) != converse(complement(converse(join(B,A))))
| complement(join(A,B)) = converse(complement(converse(join(B,A)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(A,B)))),complement(join(A,B))) )],[refute_0_4501,refute_0_4502]) ).
cnf(refute_0_4504,plain,
converse(converse(join(B,A))) = join(B,A),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(B,A)))]]) ).
cnf(refute_0_4505,plain,
complement(converse(converse(join(B,A)))) = complement(converse(converse(join(B,A)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(B,A)))))]]) ).
cnf(refute_0_4506,plain,
( complement(converse(converse(join(B,A)))) != complement(converse(converse(join(B,A))))
| converse(converse(join(B,A))) != join(B,A)
| complement(converse(converse(join(B,A)))) = complement(join(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(B,A)))),complement(converse(converse(join(B,A))))) ),[1,0],$fot(join(B,A))]]) ).
cnf(refute_0_4507,plain,
( converse(converse(join(B,A))) != join(B,A)
| complement(converse(converse(join(B,A)))) = complement(join(B,A)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(B,A)))),complement(converse(converse(join(B,A))))) )],[refute_0_4505,refute_0_4506]) ).
cnf(refute_0_4508,plain,
complement(converse(converse(join(B,A)))) = complement(join(B,A)),
inference(resolve,[$cnf( $equal(converse(converse(join(B,A))),join(B,A)) )],[refute_0_4504,refute_0_4507]) ).
cnf(refute_0_4509,plain,
converse(complement(converse(join(B,A)))) = complement(converse(converse(join(B,A)))),
inference(subst,[],[refute_0_2565:[bind(X_183,$fot(converse(join(B,A))))]]) ).
cnf(refute_0_4510,plain,
( complement(converse(converse(join(B,A)))) != complement(join(B,A))
| converse(complement(converse(join(B,A)))) != complement(converse(converse(join(B,A))))
| converse(complement(converse(join(B,A)))) = complement(join(B,A)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(complement(converse(join(B,A)))))),bind(Y,$fot(complement(converse(converse(join(B,A)))))),bind(Z,$fot(complement(join(B,A))))]]) ).
cnf(refute_0_4511,plain,
( complement(converse(converse(join(B,A)))) != complement(join(B,A))
| converse(complement(converse(join(B,A)))) = complement(join(B,A)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(B,A)))),complement(converse(converse(join(B,A))))) )],[refute_0_4509,refute_0_4510]) ).
cnf(refute_0_4512,plain,
converse(complement(converse(join(B,A)))) = complement(join(B,A)),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(B,A)))),complement(join(B,A))) )],[refute_0_4508,refute_0_4511]) ).
cnf(refute_0_4513,plain,
( complement(join(A,B)) != converse(complement(converse(join(B,A))))
| converse(complement(converse(join(B,A)))) != complement(join(B,A))
| complement(join(A,B)) = complement(join(B,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(A,B)),complement(join(B,A))) ),[0],$fot(converse(complement(converse(join(B,A)))))]]) ).
cnf(refute_0_4514,plain,
( complement(join(A,B)) != converse(complement(converse(join(B,A))))
| complement(join(A,B)) = complement(join(B,A)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(B,A)))),complement(join(B,A))) )],[refute_0_4512,refute_0_4513]) ).
cnf(refute_0_4515,plain,
( converse(complement(converse(join(A,B)))) != converse(complement(converse(join(B,A))))
| complement(join(A,B)) = complement(join(B,A)) ),
inference(resolve,[$cnf( $equal(complement(join(A,B)),converse(complement(converse(join(B,A))))) )],[refute_0_4503,refute_0_4514]) ).
cnf(refute_0_4516,plain,
complement(join(A,B)) = complement(join(B,A)),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(A,B)))),converse(complement(converse(join(B,A))))) )],[refute_0_4492,refute_0_4515]) ).
cnf(refute_0_4517,plain,
( complement(join(A,B)) != complement(join(B,A))
| complement(join(B,A)) = complement(join(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(join(A,B)))),bind(Y,$fot(complement(join(B,A))))]]) ).
cnf(refute_0_4518,plain,
complement(join(B,A)) = complement(join(A,B)),
inference(resolve,[$cnf( $equal(complement(join(A,B)),complement(join(B,A))) )],[refute_0_4516,refute_0_4517]) ).
cnf(refute_0_4519,plain,
complement(join(meet(complement(X_684),X_685),join(X_685,X_684))) = complement(join(join(X_685,X_684),meet(complement(X_684),X_685))),
inference(subst,[],[refute_0_4518:[bind(A,$fot(join(X_685,X_684))),bind(B,$fot(meet(complement(X_684),X_685)))]]) ).
cnf(refute_0_4520,plain,
meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))) = complement(join(meet(complement(X_684),X_685),join(X_685,X_684))),
inference(subst,[],[refute_0_1843:[bind(X_25,$fot(meet(complement(X_684),X_685))),bind(X_615,$fot(join(X_685,X_684)))]]) ).
cnf(refute_0_4521,plain,
( complement(join(meet(complement(X_684),X_685),join(X_685,X_684))) != complement(join(join(X_685,X_684),meet(complement(X_684),X_685)))
| meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))) != complement(join(meet(complement(X_684),X_685),join(X_685,X_684)))
| meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))) = complement(join(join(X_685,X_684),meet(complement(X_684),X_685))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))),bind(Y,$fot(complement(join(meet(complement(X_684),X_685),join(X_685,X_684))))),bind(Z,$fot(complement(join(join(X_685,X_684),meet(complement(X_684),X_685)))))]]) ).
cnf(refute_0_4522,plain,
( complement(join(meet(complement(X_684),X_685),join(X_685,X_684))) != complement(join(join(X_685,X_684),meet(complement(X_684),X_685)))
| meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))) = complement(join(join(X_685,X_684),meet(complement(X_684),X_685))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))),complement(join(meet(complement(X_684),X_685),join(X_685,X_684)))) )],[refute_0_4520,refute_0_4521]) ).
cnf(refute_0_4523,plain,
meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))) = complement(join(join(X_685,X_684),meet(complement(X_684),X_685))),
inference(resolve,[$cnf( $equal(complement(join(meet(complement(X_684),X_685),join(X_685,X_684))),complement(join(join(X_685,X_684),meet(complement(X_684),X_685)))) )],[refute_0_4519,refute_0_4522]) ).
cnf(refute_0_4524,plain,
( complement(join(join(X_685,X_684),meet(complement(X_684),X_685))) != complement(join(X_684,X_685))
| meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))) != complement(join(join(X_685,X_684),meet(complement(X_684),X_685)))
| meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))) = complement(join(X_684,X_685)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))),bind(Y,$fot(complement(join(join(X_685,X_684),meet(complement(X_684),X_685))))),bind(Z,$fot(complement(join(X_684,X_685))))]]) ).
cnf(refute_0_4525,plain,
( complement(join(join(X_685,X_684),meet(complement(X_684),X_685))) != complement(join(X_684,X_685))
| meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))) = complement(join(X_684,X_685)) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))),complement(join(join(X_685,X_684),meet(complement(X_684),X_685)))) )],[refute_0_4523,refute_0_4524]) ).
cnf(refute_0_4526,plain,
meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))) = complement(join(X_684,X_685)),
inference(resolve,[$cnf( $equal(complement(join(join(X_685,X_684),meet(complement(X_684),X_685))),complement(join(X_684,X_685))) )],[refute_0_4484,refute_0_4525]) ).
cnf(refute_0_4527,plain,
join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) = join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))),
introduced(tautology,[refl,[$fot(join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))))]]) ).
cnf(refute_0_4528,plain,
( join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) != join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))
| meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))) != complement(join(X_684,X_685))
| join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) = join(X_684,complement(join(X_684,X_685))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))),join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))) ),[1,1],$fot(complement(join(X_684,X_685)))]]) ).
cnf(refute_0_4529,plain,
( meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))) != complement(join(X_684,X_685))
| join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) = join(X_684,complement(join(X_684,X_685))) ),
inference(resolve,[$cnf( $equal(join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))),join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))) )],[refute_0_4527,refute_0_4528]) ).
cnf(refute_0_4530,plain,
join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) = join(X_684,complement(join(X_684,X_685))),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))),complement(join(X_684,X_685))) )],[refute_0_4526,refute_0_4529]) ).
cnf(refute_0_4531,plain,
complement(complement(X_684)) = X_684,
inference(subst,[],[refute_0_931:[bind(X_25,$fot(X_684))]]) ).
cnf(refute_0_4532,plain,
join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) = join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))))]]) ).
cnf(refute_0_4533,plain,
( complement(complement(X_684)) != X_684
| join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) != join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))
| join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) = join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))),join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))) ),[1,0],$fot(X_684)]]) ).
cnf(refute_0_4534,plain,
( complement(complement(X_684)) != X_684
| join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) = join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))),join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))) )],[refute_0_4532,refute_0_4533]) ).
cnf(refute_0_4535,plain,
join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) = join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))),
inference(resolve,[$cnf( $equal(complement(complement(X_684)),X_684) )],[refute_0_4531,refute_0_4534]) ).
cnf(refute_0_4536,plain,
( join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) != join(X_684,complement(join(X_684,X_685)))
| join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) != join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))
| join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) = join(X_684,complement(join(X_684,X_685))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))))),bind(Y,$fot(join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))))),bind(Z,$fot(join(X_684,complement(join(X_684,X_685)))))]]) ).
cnf(refute_0_4537,plain,
( join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) != join(X_684,complement(join(X_684,X_685)))
| join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) = join(X_684,complement(join(X_684,X_685))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))),join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))) )],[refute_0_4535,refute_0_4536]) ).
cnf(refute_0_4538,plain,
join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) = join(X_684,complement(join(X_684,X_685))),
inference(resolve,[$cnf( $equal(join(X_684,meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))),join(X_684,complement(join(X_684,X_685)))) )],[refute_0_4530,refute_0_4537]) ).
cnf(refute_0_4539,plain,
( complement(meet(complement(X_684),X_685)) != join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))
| join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))) != join(X_684,complement(join(X_684,X_685)))
| complement(meet(complement(X_684),X_685)) = join(X_684,complement(join(X_684,X_685))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(complement(X_684),X_685)),join(X_684,complement(join(X_684,X_685)))) ),[0],$fot(join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))))]]) ).
cnf(refute_0_4540,plain,
( complement(meet(complement(X_684),X_685)) != join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))
| complement(meet(complement(X_684),X_685)) = join(X_684,complement(join(X_684,X_685))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684)))),join(X_684,complement(join(X_684,X_685)))) )],[refute_0_4538,refute_0_4539]) ).
cnf(refute_0_4541,plain,
complement(meet(complement(X_684),X_685)) = join(X_684,complement(join(X_684,X_685))),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_684),X_685)),join(complement(complement(X_684)),meet(complement(meet(complement(X_684),X_685)),complement(join(X_685,X_684))))) )],[refute_0_4470,refute_0_4540]) ).
cnf(refute_0_4542,plain,
complement(meet(complement(X_684),X_685)) = join(complement(X_685),X_684),
inference(subst,[],[refute_0_2702:[bind(X_716,$fot(X_685)),bind(X_717,$fot(X_684))]]) ).
cnf(refute_0_4543,plain,
( complement(meet(complement(X_684),X_685)) != join(X_684,complement(join(X_684,X_685)))
| complement(meet(complement(X_684),X_685)) != join(complement(X_685),X_684)
| join(complement(X_685),X_684) = join(X_684,complement(join(X_684,X_685))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(X_684),X_685)),join(X_684,complement(join(X_684,X_685)))) ),[0],$fot(join(complement(X_685),X_684))]]) ).
cnf(refute_0_4544,plain,
( complement(meet(complement(X_684),X_685)) != join(X_684,complement(join(X_684,X_685)))
| join(complement(X_685),X_684) = join(X_684,complement(join(X_684,X_685))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_684),X_685)),join(complement(X_685),X_684)) )],[refute_0_4542,refute_0_4543]) ).
cnf(refute_0_4545,plain,
join(complement(X_685),X_684) = join(X_684,complement(join(X_684,X_685))),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_684),X_685)),join(X_684,complement(join(X_684,X_685)))) )],[refute_0_4541,refute_0_4544]) ).
cnf(refute_0_4546,plain,
( join(complement(X_685),X_684) != join(X_684,complement(join(X_684,X_685)))
| join(X_684,complement(join(X_684,X_685))) = join(complement(X_685),X_684) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(X_685),X_684))),bind(Y,$fot(join(X_684,complement(join(X_684,X_685)))))]]) ).
cnf(refute_0_4547,plain,
join(X_684,complement(join(X_684,X_685))) = join(complement(X_685),X_684),
inference(resolve,[$cnf( $equal(join(complement(X_685),X_684),join(X_684,complement(join(X_684,X_685)))) )],[refute_0_4545,refute_0_4546]) ).
cnf(refute_0_4548,plain,
join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))) = join(complement(X_205),composition(top,composition(top,complement(one)))),
inference(subst,[],[refute_0_4547:[bind(X_684,$fot(composition(top,composition(top,complement(one))))),bind(X_685,$fot(X_205))]]) ).
cnf(refute_0_4549,plain,
( join(complement(X_205),composition(top,composition(top,complement(one)))) != join(complement(X_205),composition(top,complement(one)))
| join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))) != join(complement(X_205),composition(top,composition(top,complement(one))))
| join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))) = join(complement(X_205),composition(top,complement(one))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))))),bind(Y,$fot(join(complement(X_205),composition(top,composition(top,complement(one)))))),bind(Z,$fot(join(complement(X_205),composition(top,complement(one)))))]]) ).
cnf(refute_0_4550,plain,
( join(complement(X_205),composition(top,composition(top,complement(one)))) != join(complement(X_205),composition(top,complement(one)))
| join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))) = join(complement(X_205),composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),join(complement(X_205),composition(top,composition(top,complement(one))))) )],[refute_0_4548,refute_0_4549]) ).
cnf(refute_0_4551,plain,
join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))) = join(complement(X_205),composition(top,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(X_205),composition(top,composition(top,complement(one)))),join(complement(X_205),composition(top,complement(one)))) )],[refute_0_4455,refute_0_4550]) ).
cnf(refute_0_4552,plain,
composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top) = composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top),
introduced(tautology,[refl,[$fot(composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top))]]) ).
cnf(refute_0_4553,plain,
( composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top) != composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)
| join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))) != join(complement(X_205),composition(top,complement(one)))
| composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top) = composition(join(complement(X_205),composition(top,complement(one))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top),composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)) ),[1,0],$fot(join(complement(X_205),composition(top,complement(one))))]]) ).
cnf(refute_0_4554,plain,
( join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))) != join(complement(X_205),composition(top,complement(one)))
| composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top) = composition(join(complement(X_205),composition(top,complement(one))),top) ),
inference(resolve,[$cnf( $equal(composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top),composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)) )],[refute_0_4552,refute_0_4553]) ).
cnf(refute_0_4555,plain,
composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top) = composition(join(complement(X_205),composition(top,complement(one))),top),
inference(resolve,[$cnf( $equal(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),join(complement(X_205),composition(top,complement(one)))) )],[refute_0_4551,refute_0_4554]) ).
cnf(refute_0_4556,plain,
( composition(join(complement(X_205),composition(top,complement(one))),top) != composition(complement(meet(X_205,one)),top)
| composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top) != composition(join(complement(X_205),composition(top,complement(one))),top)
| composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top) = composition(complement(meet(X_205,one)),top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top))),bind(Y,$fot(composition(join(complement(X_205),composition(top,complement(one))),top))),bind(Z,$fot(composition(complement(meet(X_205,one)),top)))]]) ).
cnf(refute_0_4557,plain,
( composition(join(complement(X_205),composition(top,complement(one))),top) != composition(complement(meet(X_205,one)),top)
| composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top) = composition(complement(meet(X_205,one)),top) ),
inference(resolve,[$cnf( $equal(composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top),composition(join(complement(X_205),composition(top,complement(one))),top)) )],[refute_0_4555,refute_0_4556]) ).
cnf(refute_0_4558,plain,
composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top) = composition(complement(meet(X_205,one)),top),
inference(resolve,[$cnf( $equal(composition(join(complement(X_205),composition(top,complement(one))),top),composition(complement(meet(X_205,one)),top)) )],[refute_0_4451,refute_0_4557]) ).
cnf(refute_0_4559,plain,
join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)) = join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)),
introduced(tautology,[refl,[$fot(join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)))]]) ).
cnf(refute_0_4560,plain,
( composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top) != composition(complement(meet(X_205,one)),top)
| join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)) != join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top))
| join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)) = join(one,composition(complement(meet(X_205,one)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)),join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top))) ),[1,1],$fot(composition(complement(meet(X_205,one)),top))]]) ).
cnf(refute_0_4561,plain,
( composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top) != composition(complement(meet(X_205,one)),top)
| join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)) = join(one,composition(complement(meet(X_205,one)),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)),join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top))) )],[refute_0_4559,refute_0_4560]) ).
cnf(refute_0_4562,plain,
join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)) = join(one,composition(complement(meet(X_205,one)),top)),
inference(resolve,[$cnf( $equal(composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top),composition(complement(meet(X_205,one)),top)) )],[refute_0_4558,refute_0_4561]) ).
cnf(refute_0_4563,plain,
join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)) = join(one,composition(join(X_577,X_576),top)),
inference(subst,[],[refute_0_3890:[bind(X_148,$fot(join(X_577,X_576)))]]) ).
cnf(refute_0_4564,plain,
join(composition(X_148,X_149),composition(X_147,X_149)) = join(composition(X_147,X_149),composition(X_148,X_149)),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(composition(X_148,X_149))),bind(B,$fot(composition(X_147,X_149)))]]) ).
cnf(refute_0_4565,plain,
composition(join(X_147,X_148),X_149) = join(composition(X_147,X_149),composition(X_148,X_149)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(X_147)),bind(B,$fot(X_148)),bind(C,$fot(X_149))]]) ).
cnf(refute_0_4566,plain,
( composition(join(X_147,X_148),X_149) != join(composition(X_147,X_149),composition(X_148,X_149))
| join(composition(X_147,X_149),composition(X_148,X_149)) = composition(join(X_147,X_148),X_149) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_147,X_148),X_149))),bind(Y,$fot(join(composition(X_147,X_149),composition(X_148,X_149))))]]) ).
cnf(refute_0_4567,plain,
join(composition(X_147,X_149),composition(X_148,X_149)) = composition(join(X_147,X_148),X_149),
inference(resolve,[$cnf( $equal(composition(join(X_147,X_148),X_149),join(composition(X_147,X_149),composition(X_148,X_149))) )],[refute_0_4565,refute_0_4566]) ).
cnf(refute_0_4568,plain,
( join(composition(X_147,X_149),composition(X_148,X_149)) != composition(join(X_147,X_148),X_149)
| join(composition(X_148,X_149),composition(X_147,X_149)) != join(composition(X_147,X_149),composition(X_148,X_149))
| join(composition(X_148,X_149),composition(X_147,X_149)) = composition(join(X_147,X_148),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_148,X_149),composition(X_147,X_149)),join(composition(X_147,X_149),composition(X_148,X_149))) ),[1],$fot(composition(join(X_147,X_148),X_149))]]) ).
cnf(refute_0_4569,plain,
( join(composition(X_148,X_149),composition(X_147,X_149)) != join(composition(X_147,X_149),composition(X_148,X_149))
| join(composition(X_148,X_149),composition(X_147,X_149)) = composition(join(X_147,X_148),X_149) ),
inference(resolve,[$cnf( $equal(join(composition(X_147,X_149),composition(X_148,X_149)),composition(join(X_147,X_148),X_149)) )],[refute_0_4567,refute_0_4568]) ).
cnf(refute_0_4570,plain,
join(composition(X_148,X_149),composition(X_147,X_149)) = composition(join(X_147,X_148),X_149),
inference(resolve,[$cnf( $equal(join(composition(X_148,X_149),composition(X_147,X_149)),join(composition(X_147,X_149),composition(X_148,X_149))) )],[refute_0_4564,refute_0_4569]) ).
cnf(refute_0_4571,plain,
( composition(join(A,B),C) != join(composition(A,C),composition(B,C))
| join(composition(A,C),composition(B,C)) = composition(join(A,B),C) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(A,B),C))),bind(Y,$fot(join(composition(A,C),composition(B,C))))]]) ).
cnf(refute_0_4572,plain,
join(composition(A,C),composition(B,C)) = composition(join(A,B),C),
inference(resolve,[$cnf( $equal(composition(join(A,B),C),join(composition(A,C),composition(B,C))) )],[composition_distributivity_7,refute_0_4571]) ).
cnf(refute_0_4573,plain,
join(composition(X_148,X_149),composition(X_147,X_149)) = composition(join(X_148,X_147),X_149),
inference(subst,[],[refute_0_4572:[bind(A,$fot(X_148)),bind(B,$fot(X_147)),bind(C,$fot(X_149))]]) ).
cnf(refute_0_4574,plain,
( join(composition(X_148,X_149),composition(X_147,X_149)) != composition(join(X_147,X_148),X_149)
| join(composition(X_148,X_149),composition(X_147,X_149)) != composition(join(X_148,X_147),X_149)
| composition(join(X_148,X_147),X_149) = composition(join(X_147,X_148),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_148,X_149),composition(X_147,X_149)),composition(join(X_147,X_148),X_149)) ),[0],$fot(composition(join(X_148,X_147),X_149))]]) ).
cnf(refute_0_4575,plain,
( join(composition(X_148,X_149),composition(X_147,X_149)) != composition(join(X_147,X_148),X_149)
| composition(join(X_148,X_147),X_149) = composition(join(X_147,X_148),X_149) ),
inference(resolve,[$cnf( $equal(join(composition(X_148,X_149),composition(X_147,X_149)),composition(join(X_148,X_147),X_149)) )],[refute_0_4573,refute_0_4574]) ).
cnf(refute_0_4576,plain,
composition(join(X_148,X_147),X_149) = composition(join(X_147,X_148),X_149),
inference(resolve,[$cnf( $equal(join(composition(X_148,X_149),composition(X_147,X_149)),composition(join(X_147,X_148),X_149)) )],[refute_0_4570,refute_0_4575]) ).
cnf(refute_0_4577,plain,
composition(join(X_577,X_576),top) = composition(join(X_576,X_577),top),
inference(subst,[],[refute_0_4576:[bind(X_147,$fot(X_576)),bind(X_148,$fot(X_577)),bind(X_149,$fot(top))]]) ).
cnf(refute_0_4578,plain,
( composition(join(X_577,X_576),top) != composition(join(X_576,X_577),top)
| join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)) != join(one,composition(join(X_577,X_576),top))
| join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)) = join(one,composition(join(X_576,X_577),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)),join(one,composition(join(X_577,X_576),top))) ),[1,1],$fot(composition(join(X_576,X_577),top))]]) ).
cnf(refute_0_4579,plain,
( join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)) != join(one,composition(join(X_577,X_576),top))
| join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)) = join(one,composition(join(X_576,X_577),top)) ),
inference(resolve,[$cnf( $equal(composition(join(X_577,X_576),top),composition(join(X_576,X_577),top)) )],[refute_0_4577,refute_0_4578]) ).
cnf(refute_0_4580,plain,
join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)) = join(one,composition(join(X_576,X_577),top)),
inference(resolve,[$cnf( $equal(join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)),join(one,composition(join(X_577,X_576),top))) )],[refute_0_4563,refute_0_4579]) ).
cnf(refute_0_4581,plain,
( join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)) != join(one,composition(join(X_576,X_577),top))
| join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)) != join(one,composition(join(X_577,X_576),top))
| join(one,composition(join(X_577,X_576),top)) = join(one,composition(join(X_576,X_577),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)),join(one,composition(join(X_576,X_577),top))) ),[0],$fot(join(one,composition(join(X_577,X_576),top)))]]) ).
cnf(refute_0_4582,plain,
( join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)) != join(one,composition(join(X_576,X_577),top))
| join(one,composition(join(X_577,X_576),top)) = join(one,composition(join(X_576,X_577),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)),join(one,composition(join(X_577,X_576),top))) )],[refute_0_4563,refute_0_4581]) ).
cnf(refute_0_4583,plain,
join(one,composition(join(X_577,X_576),top)) = join(one,composition(join(X_576,X_577),top)),
inference(resolve,[$cnf( $equal(join(one,composition(join(complement(composition(top,complement(one))),join(X_577,X_576)),top)),join(one,composition(join(X_576,X_577),top))) )],[refute_0_4580,refute_0_4582]) ).
cnf(refute_0_4584,plain,
( join(one,composition(join(X_577,X_576),top)) != join(one,composition(join(X_576,X_577),top))
| join(one,composition(join(X_576,X_577),top)) = join(one,composition(join(X_577,X_576),top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,composition(join(X_577,X_576),top)))),bind(Y,$fot(join(one,composition(join(X_576,X_577),top))))]]) ).
cnf(refute_0_4585,plain,
join(one,composition(join(X_576,X_577),top)) = join(one,composition(join(X_577,X_576),top)),
inference(resolve,[$cnf( $equal(join(one,composition(join(X_577,X_576),top)),join(one,composition(join(X_576,X_577),top))) )],[refute_0_4583,refute_0_4584]) ).
cnf(refute_0_4586,plain,
join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top)) = join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)),
inference(subst,[],[refute_0_4585:[bind(X_576,$fot(complement(join(composition(top,composition(top,complement(one))),X_205)))),bind(X_577,$fot(composition(top,composition(top,complement(one)))))]]) ).
cnf(refute_0_4587,plain,
( join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top)) != join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top))
| join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)) != join(one,composition(complement(meet(X_205,one)),top))
| join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top)) = join(one,composition(complement(meet(X_205,one)),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top)))),bind(Y,$fot(join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)))),bind(Z,$fot(join(one,composition(complement(meet(X_205,one)),top))))]]) ).
cnf(refute_0_4588,plain,
( join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)) != join(one,composition(complement(meet(X_205,one)),top))
| join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top)) = join(one,composition(complement(meet(X_205,one)),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top)),join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top))) )],[refute_0_4586,refute_0_4587]) ).
cnf(refute_0_4589,plain,
join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top)) = join(one,composition(complement(meet(X_205,one)),top)),
inference(resolve,[$cnf( $equal(join(one,composition(join(composition(top,composition(top,complement(one))),complement(join(composition(top,composition(top,complement(one))),X_205))),top)),join(one,composition(complement(meet(X_205,one)),top))) )],[refute_0_4562,refute_0_4588]) ).
cnf(refute_0_4590,plain,
( join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top)) != join(one,composition(complement(meet(X_205,one)),top))
| top != join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top))
| top = join(one,composition(complement(meet(X_205,one)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top))) ),[1],$fot(join(one,composition(complement(meet(X_205,one)),top)))]]) ).
cnf(refute_0_4591,plain,
( top != join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top))
| top = join(one,composition(complement(meet(X_205,one)),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top)),join(one,composition(complement(meet(X_205,one)),top))) )],[refute_0_4589,refute_0_4590]) ).
cnf(refute_0_4592,plain,
top = join(one,composition(complement(meet(X_205,one)),top)),
inference(resolve,[$cnf( $equal(top,join(one,composition(join(complement(join(composition(top,composition(top,complement(one))),X_205)),composition(top,composition(top,complement(one)))),top))) )],[refute_0_3984,refute_0_4591]) ).
cnf(refute_0_4593,plain,
top = join(one,composition(complement(meet(X_857,one)),top)),
inference(subst,[],[refute_0_4592:[bind(X_205,$fot(X_857))]]) ).
cnf(refute_0_4594,plain,
meet(one,X_857) = meet(X_857,one),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(one)),bind(X_16,$fot(X_857))]]) ).
cnf(refute_0_4595,plain,
( meet(one,X_857) != meet(X_857,one)
| meet(X_857,one) = meet(one,X_857) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(one,X_857))),bind(Y,$fot(meet(X_857,one)))]]) ).
cnf(refute_0_4596,plain,
meet(X_857,one) = meet(one,X_857),
inference(resolve,[$cnf( $equal(meet(one,X_857),meet(X_857,one)) )],[refute_0_4594,refute_0_4595]) ).
cnf(refute_0_4597,plain,
( meet(X_857,one) != meet(one,X_857)
| top != join(one,composition(complement(meet(X_857,one)),top))
| top = join(one,composition(complement(meet(one,X_857)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,composition(complement(meet(X_857,one)),top))) ),[1,1,0,0],$fot(meet(one,X_857))]]) ).
cnf(refute_0_4598,plain,
( top != join(one,composition(complement(meet(X_857,one)),top))
| top = join(one,composition(complement(meet(one,X_857)),top)) ),
inference(resolve,[$cnf( $equal(meet(X_857,one),meet(one,X_857)) )],[refute_0_4596,refute_0_4597]) ).
cnf(refute_0_4599,plain,
top = join(one,composition(complement(meet(one,X_857)),top)),
inference(resolve,[$cnf( $equal(top,join(one,composition(complement(meet(X_857,one)),top))) )],[refute_0_4593,refute_0_4598]) ).
cnf(refute_0_4600,plain,
top = join(one,composition(complement(meet(one,converse(meet(X_874,one)))),top)),
inference(subst,[],[refute_0_4599:[bind(X_857,$fot(converse(meet(X_874,one))))]]) ).
cnf(refute_0_4601,plain,
meet(X_72,X_71) = meet(X_71,X_72),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(X_72)),bind(X_16,$fot(X_71))]]) ).
cnf(refute_0_4602,plain,
( meet(X_72,X_71) != meet(X_71,X_72)
| meet(X_71,X_72) = meet(X_72,X_71) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_72,X_71))),bind(Y,$fot(meet(X_71,X_72)))]]) ).
cnf(refute_0_4603,plain,
meet(X_71,X_72) = meet(X_72,X_71),
inference(resolve,[$cnf( $equal(meet(X_72,X_71),meet(X_71,X_72)) )],[refute_0_4601,refute_0_4602]) ).
cnf(refute_0_4604,plain,
( X_71 != join(meet(X_71,X_72),complement(join(X_72,complement(X_71))))
| meet(X_71,X_72) != meet(X_72,X_71)
| X_71 = join(meet(X_72,X_71),complement(join(X_72,complement(X_71)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_71,join(meet(X_71,X_72),complement(join(X_72,complement(X_71))))) ),[1,0],$fot(meet(X_72,X_71))]]) ).
cnf(refute_0_4605,plain,
( X_71 != join(meet(X_71,X_72),complement(join(X_72,complement(X_71))))
| X_71 = join(meet(X_72,X_71),complement(join(X_72,complement(X_71)))) ),
inference(resolve,[$cnf( $equal(meet(X_71,X_72),meet(X_72,X_71)) )],[refute_0_4603,refute_0_4604]) ).
cnf(refute_0_4606,plain,
X_71 = join(meet(X_72,X_71),complement(join(X_72,complement(X_71)))),
inference(resolve,[$cnf( $equal(X_71,join(meet(X_71,X_72),complement(join(X_72,complement(X_71))))) )],[refute_0_1800,refute_0_4605]) ).
cnf(refute_0_4607,plain,
converse(meet(X_549,one)) = join(meet(complement(one),converse(meet(X_549,one))),complement(join(complement(one),complement(converse(meet(X_549,one)))))),
inference(subst,[],[refute_0_4606:[bind(X_71,$fot(converse(meet(X_549,one)))),bind(X_72,$fot(complement(one)))]]) ).
cnf(refute_0_4608,plain,
meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) = complement(join(complement(X_361),meet(join(one,X_135),join(X_135,one)))),
inference(subst,[],[refute_0_364:[bind(A,$fot(X_361)),bind(X_15,$fot(join(one,X_135))),bind(X_16,$fot(join(X_135,one)))]]) ).
cnf(refute_0_4609,plain,
meet(join(one,X_135),join(X_135,one)) = meet(join(X_135,one),join(one,X_135)),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(join(one,X_135))),bind(X_16,$fot(join(X_135,one)))]]) ).
cnf(refute_0_4610,plain,
join(X_134,one) = meet(join(X_134,one),join(one,join(X_134,one))),
inference(subst,[],[refute_0_1221:[bind(X_125,$fot(one)),bind(X_126,$fot(join(X_134,one)))]]) ).
cnf(refute_0_4611,plain,
( join(X_134,one) != meet(join(X_134,one),join(one,join(X_134,one)))
| join(one,join(X_134,one)) != join(one,X_134)
| join(X_134,one) = meet(join(X_134,one),join(one,X_134)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_134,one),meet(join(X_134,one),join(one,join(X_134,one)))) ),[1,1],$fot(join(one,X_134))]]) ).
cnf(refute_0_4612,plain,
( join(X_134,one) != meet(join(X_134,one),join(one,join(X_134,one)))
| join(X_134,one) = meet(join(X_134,one),join(one,X_134)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_134,one)),join(one,X_134)) )],[refute_0_1577,refute_0_4611]) ).
cnf(refute_0_4613,plain,
join(X_134,one) = meet(join(X_134,one),join(one,X_134)),
inference(resolve,[$cnf( $equal(join(X_134,one),meet(join(X_134,one),join(one,join(X_134,one)))) )],[refute_0_4610,refute_0_4612]) ).
cnf(refute_0_4614,plain,
join(X_135,one) = meet(join(X_135,one),join(one,X_135)),
inference(subst,[],[refute_0_4613:[bind(X_134,$fot(X_135))]]) ).
cnf(refute_0_4615,plain,
( join(X_135,one) != meet(join(X_135,one),join(one,X_135))
| meet(join(X_135,one),join(one,X_135)) = join(X_135,one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_135,one))),bind(Y,$fot(meet(join(X_135,one),join(one,X_135))))]]) ).
cnf(refute_0_4616,plain,
meet(join(X_135,one),join(one,X_135)) = join(X_135,one),
inference(resolve,[$cnf( $equal(join(X_135,one),meet(join(X_135,one),join(one,X_135))) )],[refute_0_4614,refute_0_4615]) ).
cnf(refute_0_4617,plain,
( meet(join(X_135,one),join(one,X_135)) != join(X_135,one)
| meet(join(one,X_135),join(X_135,one)) != meet(join(X_135,one),join(one,X_135))
| meet(join(one,X_135),join(X_135,one)) = join(X_135,one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,X_135),join(X_135,one)),meet(join(X_135,one),join(one,X_135))) ),[1],$fot(join(X_135,one))]]) ).
cnf(refute_0_4618,plain,
( meet(join(one,X_135),join(X_135,one)) != meet(join(X_135,one),join(one,X_135))
| meet(join(one,X_135),join(X_135,one)) = join(X_135,one) ),
inference(resolve,[$cnf( $equal(meet(join(X_135,one),join(one,X_135)),join(X_135,one)) )],[refute_0_4616,refute_0_4617]) ).
cnf(refute_0_4619,plain,
meet(join(one,X_135),join(X_135,one)) = join(X_135,one),
inference(resolve,[$cnf( $equal(meet(join(one,X_135),join(X_135,one)),meet(join(X_135,one),join(one,X_135))) )],[refute_0_4609,refute_0_4618]) ).
cnf(refute_0_4620,plain,
( meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) != complement(join(complement(X_361),meet(join(one,X_135),join(X_135,one))))
| meet(join(one,X_135),join(X_135,one)) != join(X_135,one)
| meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) = complement(join(complement(X_361),join(X_135,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))),complement(join(complement(X_361),meet(join(one,X_135),join(X_135,one))))) ),[1,0,1],$fot(join(X_135,one))]]) ).
cnf(refute_0_4621,plain,
( meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) != complement(join(complement(X_361),meet(join(one,X_135),join(X_135,one))))
| meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) = complement(join(complement(X_361),join(X_135,one))) ),
inference(resolve,[$cnf( $equal(meet(join(one,X_135),join(X_135,one)),join(X_135,one)) )],[refute_0_4619,refute_0_4620]) ).
cnf(refute_0_4622,plain,
meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) = complement(join(complement(X_361),join(X_135,one))),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))),complement(join(complement(X_361),meet(join(one,X_135),join(X_135,one))))) )],[refute_0_4608,refute_0_4621]) ).
cnf(refute_0_4623,plain,
complement(meet(join(one,X_135),join(X_135,one))) = complement(meet(join(one,X_135),join(X_135,one))),
introduced(tautology,[refl,[$fot(complement(meet(join(one,X_135),join(X_135,one))))]]) ).
cnf(refute_0_4624,plain,
( complement(meet(join(one,X_135),join(X_135,one))) != complement(meet(join(one,X_135),join(X_135,one)))
| meet(join(one,X_135),join(X_135,one)) != join(X_135,one)
| complement(meet(join(one,X_135),join(X_135,one))) = complement(join(X_135,one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(one,X_135),join(X_135,one))),complement(meet(join(one,X_135),join(X_135,one)))) ),[1,0],$fot(join(X_135,one))]]) ).
cnf(refute_0_4625,plain,
( meet(join(one,X_135),join(X_135,one)) != join(X_135,one)
| complement(meet(join(one,X_135),join(X_135,one))) = complement(join(X_135,one)) ),
inference(resolve,[$cnf( $equal(complement(meet(join(one,X_135),join(X_135,one))),complement(meet(join(one,X_135),join(X_135,one)))) )],[refute_0_4623,refute_0_4624]) ).
cnf(refute_0_4626,plain,
complement(meet(join(one,X_135),join(X_135,one))) = complement(join(X_135,one)),
inference(resolve,[$cnf( $equal(meet(join(one,X_135),join(X_135,one)),join(X_135,one)) )],[refute_0_4619,refute_0_4625]) ).
cnf(refute_0_4627,plain,
meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) = meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))),
introduced(tautology,[refl,[$fot(meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))))]]) ).
cnf(refute_0_4628,plain,
( complement(meet(join(one,X_135),join(X_135,one))) != complement(join(X_135,one))
| meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) != meet(X_361,complement(meet(join(one,X_135),join(X_135,one))))
| meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) = meet(X_361,complement(join(X_135,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))),meet(X_361,complement(meet(join(one,X_135),join(X_135,one))))) ),[1,1],$fot(complement(join(X_135,one)))]]) ).
cnf(refute_0_4629,plain,
( complement(meet(join(one,X_135),join(X_135,one))) != complement(join(X_135,one))
| meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) = meet(X_361,complement(join(X_135,one))) ),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))),meet(X_361,complement(meet(join(one,X_135),join(X_135,one))))) )],[refute_0_4627,refute_0_4628]) ).
cnf(refute_0_4630,plain,
meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) = meet(X_361,complement(join(X_135,one))),
inference(resolve,[$cnf( $equal(complement(meet(join(one,X_135),join(X_135,one))),complement(join(X_135,one))) )],[refute_0_4626,refute_0_4629]) ).
cnf(refute_0_4631,plain,
( meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) != complement(join(complement(X_361),join(X_135,one)))
| meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) != meet(X_361,complement(join(X_135,one)))
| meet(X_361,complement(join(X_135,one))) = complement(join(complement(X_361),join(X_135,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))),complement(join(complement(X_361),join(X_135,one)))) ),[0],$fot(meet(X_361,complement(join(X_135,one))))]]) ).
cnf(refute_0_4632,plain,
( meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) != complement(join(complement(X_361),join(X_135,one)))
| meet(X_361,complement(join(X_135,one))) = complement(join(complement(X_361),join(X_135,one))) ),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))),meet(X_361,complement(join(X_135,one)))) )],[refute_0_4630,refute_0_4631]) ).
cnf(refute_0_4633,plain,
join(X_298,join(X_299,X_300)) = join(X_299,join(X_298,X_300)),
inference(subst,[],[refute_0_151:[bind(X_119,$fot(X_298)),bind(X_120,$fot(X_299)),bind(X_121,$fot(X_300))]]) ).
cnf(refute_0_4634,plain,
join(X_300,X_299) = join(X_299,X_300),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_300)),bind(B,$fot(X_299))]]) ).
cnf(refute_0_4635,plain,
( join(X_300,X_299) != join(X_299,X_300)
| join(X_299,X_300) = join(X_300,X_299) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_300,X_299))),bind(Y,$fot(join(X_299,X_300)))]]) ).
cnf(refute_0_4636,plain,
join(X_299,X_300) = join(X_300,X_299),
inference(resolve,[$cnf( $equal(join(X_300,X_299),join(X_299,X_300)) )],[refute_0_4634,refute_0_4635]) ).
cnf(refute_0_4637,plain,
( join(X_298,join(X_299,X_300)) != join(X_299,join(X_298,X_300))
| join(X_299,X_300) != join(X_300,X_299)
| join(X_298,join(X_300,X_299)) = join(X_299,join(X_298,X_300)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_298,join(X_299,X_300)),join(X_299,join(X_298,X_300))) ),[0,1],$fot(join(X_300,X_299))]]) ).
cnf(refute_0_4638,plain,
( join(X_298,join(X_299,X_300)) != join(X_299,join(X_298,X_300))
| join(X_298,join(X_300,X_299)) = join(X_299,join(X_298,X_300)) ),
inference(resolve,[$cnf( $equal(join(X_299,X_300),join(X_300,X_299)) )],[refute_0_4636,refute_0_4637]) ).
cnf(refute_0_4639,plain,
join(X_298,join(X_300,X_299)) = join(X_299,join(X_298,X_300)),
inference(resolve,[$cnf( $equal(join(X_298,join(X_299,X_300)),join(X_299,join(X_298,X_300))) )],[refute_0_4633,refute_0_4638]) ).
cnf(refute_0_4640,plain,
join(complement(X_361),join(X_135,one)) = join(one,join(complement(X_361),X_135)),
inference(subst,[],[refute_0_4639:[bind(X_298,$fot(complement(X_361))),bind(X_299,$fot(one)),bind(X_300,$fot(X_135))]]) ).
cnf(refute_0_4641,plain,
complement(join(complement(X_361),join(X_135,one))) = complement(join(complement(X_361),join(X_135,one))),
introduced(tautology,[refl,[$fot(complement(join(complement(X_361),join(X_135,one))))]]) ).
cnf(refute_0_4642,plain,
( complement(join(complement(X_361),join(X_135,one))) != complement(join(complement(X_361),join(X_135,one)))
| join(complement(X_361),join(X_135,one)) != join(one,join(complement(X_361),X_135))
| complement(join(complement(X_361),join(X_135,one))) = complement(join(one,join(complement(X_361),X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_361),join(X_135,one))),complement(join(complement(X_361),join(X_135,one)))) ),[1,0],$fot(join(one,join(complement(X_361),X_135)))]]) ).
cnf(refute_0_4643,plain,
( join(complement(X_361),join(X_135,one)) != join(one,join(complement(X_361),X_135))
| complement(join(complement(X_361),join(X_135,one))) = complement(join(one,join(complement(X_361),X_135))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_361),join(X_135,one))),complement(join(complement(X_361),join(X_135,one)))) )],[refute_0_4641,refute_0_4642]) ).
cnf(refute_0_4644,plain,
complement(join(complement(X_361),join(X_135,one))) = complement(join(one,join(complement(X_361),X_135))),
inference(resolve,[$cnf( $equal(join(complement(X_361),join(X_135,one)),join(one,join(complement(X_361),X_135))) )],[refute_0_4640,refute_0_4643]) ).
cnf(refute_0_4645,plain,
( complement(join(complement(X_361),join(X_135,one))) != complement(join(one,join(complement(X_361),X_135)))
| meet(X_361,complement(join(X_135,one))) != complement(join(complement(X_361),join(X_135,one)))
| meet(X_361,complement(join(X_135,one))) = complement(join(one,join(complement(X_361),X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(join(X_135,one))),complement(join(complement(X_361),join(X_135,one)))) ),[1],$fot(complement(join(one,join(complement(X_361),X_135))))]]) ).
cnf(refute_0_4646,plain,
( meet(X_361,complement(join(X_135,one))) != complement(join(complement(X_361),join(X_135,one)))
| meet(X_361,complement(join(X_135,one))) = complement(join(one,join(complement(X_361),X_135))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_361),join(X_135,one))),complement(join(one,join(complement(X_361),X_135)))) )],[refute_0_4644,refute_0_4645]) ).
cnf(refute_0_4647,plain,
( meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))) != complement(join(complement(X_361),join(X_135,one)))
| meet(X_361,complement(join(X_135,one))) = complement(join(one,join(complement(X_361),X_135))) ),
inference(resolve,[$cnf( $equal(meet(X_361,complement(join(X_135,one))),complement(join(complement(X_361),join(X_135,one)))) )],[refute_0_4632,refute_0_4646]) ).
cnf(refute_0_4648,plain,
meet(X_361,complement(join(X_135,one))) = complement(join(one,join(complement(X_361),X_135))),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(join(one,X_135),join(X_135,one)))),complement(join(complement(X_361),join(X_135,one)))) )],[refute_0_4622,refute_0_4647]) ).
cnf(refute_0_4649,plain,
meet(X_463,complement(join(complement(complement(X_463)),one))) = complement(join(one,join(complement(X_463),complement(complement(X_463))))),
inference(subst,[],[refute_0_4648:[bind(X_135,$fot(complement(complement(X_463)))),bind(X_361,$fot(X_463))]]) ).
cnf(refute_0_4650,plain,
top = join(complement(X_463),complement(complement(X_463))),
inference(subst,[],[def_top_12:[bind(A,$fot(complement(X_463)))]]) ).
cnf(refute_0_4651,plain,
( top != join(complement(X_463),complement(complement(X_463)))
| join(complement(X_463),complement(complement(X_463))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_463),complement(complement(X_463)))))]]) ).
cnf(refute_0_4652,plain,
join(complement(X_463),complement(complement(X_463))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_463),complement(complement(X_463)))) )],[refute_0_4650,refute_0_4651]) ).
cnf(refute_0_4653,plain,
( join(complement(X_463),complement(complement(X_463))) != top
| meet(X_463,complement(join(complement(complement(X_463)),one))) != complement(join(one,join(complement(X_463),complement(complement(X_463)))))
| meet(X_463,complement(join(complement(complement(X_463)),one))) = complement(join(one,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_463,complement(join(complement(complement(X_463)),one))),complement(join(one,join(complement(X_463),complement(complement(X_463)))))) ),[1,0,1],$fot(top)]]) ).
cnf(refute_0_4654,plain,
( meet(X_463,complement(join(complement(complement(X_463)),one))) != complement(join(one,join(complement(X_463),complement(complement(X_463)))))
| meet(X_463,complement(join(complement(complement(X_463)),one))) = complement(join(one,top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_463),complement(complement(X_463))),top) )],[refute_0_4652,refute_0_4653]) ).
cnf(refute_0_4655,plain,
meet(X_463,complement(join(complement(complement(X_463)),one))) = complement(join(one,top)),
inference(resolve,[$cnf( $equal(meet(X_463,complement(join(complement(complement(X_463)),one))),complement(join(one,join(complement(X_463),complement(complement(X_463)))))) )],[refute_0_4649,refute_0_4654]) ).
cnf(refute_0_4656,plain,
meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) = complement(join(complement(X_361),meet(one,complement(composition(X_313,complement(converse(X_313))))))),
inference(subst,[],[refute_0_364:[bind(A,$fot(X_361)),bind(X_15,$fot(one)),bind(X_16,$fot(complement(composition(X_313,complement(converse(X_313))))))]]) ).
cnf(refute_0_4657,plain,
X_192 = meet(X_192,converse(join(converse(B),complement(join(converse(complement(X_192)),converse(B)))))),
inference(subst,[],[refute_0_2140:[bind(A,$fot(converse(B))),bind(X_41,$fot(X_192))]]) ).
cnf(refute_0_4658,plain,
converse(join(complement(X_192),B)) = join(converse(complement(X_192)),converse(B)),
inference(subst,[],[converse_additivity_9:[bind(A,$fot(complement(X_192)))]]) ).
cnf(refute_0_4659,plain,
( converse(join(complement(X_192),B)) != join(converse(complement(X_192)),converse(B))
| join(converse(complement(X_192)),converse(B)) = converse(join(complement(X_192),B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(join(complement(X_192),B)))),bind(Y,$fot(join(converse(complement(X_192)),converse(B))))]]) ).
cnf(refute_0_4660,plain,
join(converse(complement(X_192)),converse(B)) = converse(join(complement(X_192),B)),
inference(resolve,[$cnf( $equal(converse(join(complement(X_192),B)),join(converse(complement(X_192)),converse(B))) )],[refute_0_4658,refute_0_4659]) ).
cnf(refute_0_4661,plain,
( X_192 != meet(X_192,converse(join(converse(B),complement(join(converse(complement(X_192)),converse(B))))))
| join(converse(complement(X_192)),converse(B)) != converse(join(complement(X_192),B))
| X_192 = meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(X_192,meet(X_192,converse(join(converse(B),complement(join(converse(complement(X_192)),converse(B))))))) ),[1,1,0,1,0],$fot(converse(join(complement(X_192),B)))]]) ).
cnf(refute_0_4662,plain,
( X_192 != meet(X_192,converse(join(converse(B),complement(join(converse(complement(X_192)),converse(B))))))
| X_192 = meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X_192)),converse(B)),converse(join(complement(X_192),B))) )],[refute_0_4660,refute_0_4661]) ).
cnf(refute_0_4663,plain,
X_192 = meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))),
inference(resolve,[$cnf( $equal(X_192,meet(X_192,converse(join(converse(B),complement(join(converse(complement(X_192)),converse(B))))))) )],[refute_0_4657,refute_0_4662]) ).
cnf(refute_0_4664,plain,
converse(join(converse(B),complement(converse(join(complement(X_192),B))))) = join(B,converse(complement(converse(join(complement(X_192),B))))),
inference(subst,[],[refute_0_93:[bind(A,$fot(B)),bind(X_5,$fot(complement(converse(join(complement(X_192),B)))))]]) ).
cnf(refute_0_4665,plain,
meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))) = meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))),
introduced(tautology,[refl,[$fot(meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))))]]) ).
cnf(refute_0_4666,plain,
( converse(join(converse(B),complement(converse(join(complement(X_192),B))))) != join(B,converse(complement(converse(join(complement(X_192),B)))))
| meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))) != meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B))))))
| meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))) = meet(X_192,join(B,converse(complement(converse(join(complement(X_192),B)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))),meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B))))))) ),[1,1],$fot(join(B,converse(complement(converse(join(complement(X_192),B))))))]]) ).
cnf(refute_0_4667,plain,
( converse(join(converse(B),complement(converse(join(complement(X_192),B))))) != join(B,converse(complement(converse(join(complement(X_192),B)))))
| meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))) = meet(X_192,join(B,converse(complement(converse(join(complement(X_192),B)))))) ),
inference(resolve,[$cnf( $equal(meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))),meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B))))))) )],[refute_0_4665,refute_0_4666]) ).
cnf(refute_0_4668,plain,
meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))) = meet(X_192,join(B,converse(complement(converse(join(complement(X_192),B)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(B),complement(converse(join(complement(X_192),B))))),join(B,converse(complement(converse(join(complement(X_192),B)))))) )],[refute_0_4664,refute_0_4667]) ).
cnf(refute_0_4669,plain,
( X_192 != meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B))))))
| meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))) != meet(X_192,join(B,converse(complement(converse(join(complement(X_192),B))))))
| X_192 = meet(X_192,join(B,converse(complement(converse(join(complement(X_192),B)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_192,meet(X_192,join(B,converse(complement(converse(join(complement(X_192),B))))))) ),[0],$fot(meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))))]]) ).
cnf(refute_0_4670,plain,
( X_192 != meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B))))))
| X_192 = meet(X_192,join(B,converse(complement(converse(join(complement(X_192),B)))))) ),
inference(resolve,[$cnf( $equal(meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B)))))),meet(X_192,join(B,converse(complement(converse(join(complement(X_192),B))))))) )],[refute_0_4668,refute_0_4669]) ).
cnf(refute_0_4671,plain,
X_192 = meet(X_192,join(B,converse(complement(converse(join(complement(X_192),B)))))),
inference(resolve,[$cnf( $equal(X_192,meet(X_192,converse(join(converse(B),complement(converse(join(complement(X_192),B))))))) )],[refute_0_4663,refute_0_4670]) ).
cnf(refute_0_4672,plain,
one = meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(join(complement(one),meet(one,complement(composition(X_313,complement(converse(X_313))))))))))),
inference(subst,[],[refute_0_4671:[bind(B,$fot(meet(one,complement(composition(X_313,complement(converse(X_313))))))),bind(X_192,$fot(one))]]) ).
cnf(refute_0_4673,plain,
join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) = join(complement(X_19),join(complement(X_20),meet(X_19,X_20))),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(join(complement(X_20),meet(X_19,X_20)))),bind(B,$fot(complement(X_19)))]]) ).
cnf(refute_0_4674,plain,
top = join(complement(X_19),join(complement(X_20),meet(X_19,X_20))),
inference(subst,[],[refute_0_572:[bind(X_15,$fot(X_19)),bind(X_16,$fot(X_20))]]) ).
cnf(refute_0_4675,plain,
( top != join(complement(X_19),join(complement(X_20),meet(X_19,X_20)))
| join(complement(X_19),join(complement(X_20),meet(X_19,X_20))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_19),join(complement(X_20),meet(X_19,X_20)))))]]) ).
cnf(refute_0_4676,plain,
join(complement(X_19),join(complement(X_20),meet(X_19,X_20))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_19),join(complement(X_20),meet(X_19,X_20)))) )],[refute_0_4674,refute_0_4675]) ).
cnf(refute_0_4677,plain,
( join(complement(X_19),join(complement(X_20),meet(X_19,X_20))) != top
| join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) != join(complement(X_19),join(complement(X_20),meet(X_19,X_20)))
| join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)),join(complement(X_19),join(complement(X_20),meet(X_19,X_20)))) ),[1],$fot(top)]]) ).
cnf(refute_0_4678,plain,
( join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) != join(complement(X_19),join(complement(X_20),meet(X_19,X_20)))
| join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_19),join(complement(X_20),meet(X_19,X_20))),top) )],[refute_0_4676,refute_0_4677]) ).
cnf(refute_0_4679,plain,
join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)),join(complement(X_19),join(complement(X_20),meet(X_19,X_20)))) )],[refute_0_4673,refute_0_4678]) ).
cnf(refute_0_4680,plain,
join(meet(X_19,X_20),complement(X_19)) = join(complement(X_19),meet(X_19,X_20)),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(X_19))),bind(B,$fot(meet(X_19,X_20)))]]) ).
cnf(refute_0_4681,plain,
join(complement(X_20),join(meet(X_19,X_20),complement(X_19))) = join(complement(X_20),join(meet(X_19,X_20),complement(X_19))),
introduced(tautology,[refl,[$fot(join(complement(X_20),join(meet(X_19,X_20),complement(X_19))))]]) ).
cnf(refute_0_4682,plain,
( join(complement(X_20),join(meet(X_19,X_20),complement(X_19))) != join(complement(X_20),join(meet(X_19,X_20),complement(X_19)))
| join(meet(X_19,X_20),complement(X_19)) != join(complement(X_19),meet(X_19,X_20))
| join(complement(X_20),join(meet(X_19,X_20),complement(X_19))) = join(complement(X_20),join(complement(X_19),meet(X_19,X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_20),join(meet(X_19,X_20),complement(X_19))),join(complement(X_20),join(meet(X_19,X_20),complement(X_19)))) ),[1,1],$fot(join(complement(X_19),meet(X_19,X_20)))]]) ).
cnf(refute_0_4683,plain,
( join(meet(X_19,X_20),complement(X_19)) != join(complement(X_19),meet(X_19,X_20))
| join(complement(X_20),join(meet(X_19,X_20),complement(X_19))) = join(complement(X_20),join(complement(X_19),meet(X_19,X_20))) ),
inference(resolve,[$cnf( $equal(join(complement(X_20),join(meet(X_19,X_20),complement(X_19))),join(complement(X_20),join(meet(X_19,X_20),complement(X_19)))) )],[refute_0_4681,refute_0_4682]) ).
cnf(refute_0_4684,plain,
join(complement(X_20),join(meet(X_19,X_20),complement(X_19))) = join(complement(X_20),join(complement(X_19),meet(X_19,X_20))),
inference(resolve,[$cnf( $equal(join(meet(X_19,X_20),complement(X_19)),join(complement(X_19),meet(X_19,X_20))) )],[refute_0_4680,refute_0_4683]) ).
cnf(refute_0_4685,plain,
join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) = join(complement(X_20),join(meet(X_19,X_20),complement(X_19))),
inference(subst,[],[refute_0_147:[bind(A,$fot(complement(X_20))),bind(B,$fot(meet(X_19,X_20))),bind(C,$fot(complement(X_19)))]]) ).
cnf(refute_0_4686,plain,
( join(complement(X_20),join(meet(X_19,X_20),complement(X_19))) != join(complement(X_20),join(complement(X_19),meet(X_19,X_20)))
| join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) != join(complement(X_20),join(meet(X_19,X_20),complement(X_19)))
| join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) = join(complement(X_20),join(complement(X_19),meet(X_19,X_20))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)))),bind(Y,$fot(join(complement(X_20),join(meet(X_19,X_20),complement(X_19))))),bind(Z,$fot(join(complement(X_20),join(complement(X_19),meet(X_19,X_20)))))]]) ).
cnf(refute_0_4687,plain,
( join(complement(X_20),join(meet(X_19,X_20),complement(X_19))) != join(complement(X_20),join(complement(X_19),meet(X_19,X_20)))
| join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) = join(complement(X_20),join(complement(X_19),meet(X_19,X_20))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)),join(complement(X_20),join(meet(X_19,X_20),complement(X_19)))) )],[refute_0_4685,refute_0_4686]) ).
cnf(refute_0_4688,plain,
join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) = join(complement(X_20),join(complement(X_19),meet(X_19,X_20))),
inference(resolve,[$cnf( $equal(join(complement(X_20),join(meet(X_19,X_20),complement(X_19))),join(complement(X_20),join(complement(X_19),meet(X_19,X_20)))) )],[refute_0_4684,refute_0_4687]) ).
cnf(refute_0_4689,plain,
( join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) != join(complement(X_20),join(complement(X_19),meet(X_19,X_20)))
| join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) != top
| join(complement(X_20),join(complement(X_19),meet(X_19,X_20))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)),top) ),[0],$fot(join(complement(X_20),join(complement(X_19),meet(X_19,X_20))))]]) ).
cnf(refute_0_4690,plain,
( join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)) != top
| join(complement(X_20),join(complement(X_19),meet(X_19,X_20))) = top ),
inference(resolve,[$cnf( $equal(join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)),join(complement(X_20),join(complement(X_19),meet(X_19,X_20)))) )],[refute_0_4688,refute_0_4689]) ).
cnf(refute_0_4691,plain,
join(complement(X_20),join(complement(X_19),meet(X_19,X_20))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_20),meet(X_19,X_20)),complement(X_19)),top) )],[refute_0_4679,refute_0_4690]) ).
cnf(refute_0_4692,plain,
join(complement(X_288),join(complement(complement(X_25)),meet(complement(X_25),X_288))) = top,
inference(subst,[],[refute_0_4691:[bind(X_19,$fot(complement(X_25))),bind(X_20,$fot(X_288))]]) ).
cnf(refute_0_4693,plain,
( complement(complement(X_25)) != X_25
| join(complement(X_288),join(complement(complement(X_25)),meet(complement(X_25),X_288))) != top
| join(complement(X_288),join(X_25,meet(complement(X_25),X_288))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_288),join(complement(complement(X_25)),meet(complement(X_25),X_288))),top) ),[0,1,0],$fot(X_25)]]) ).
cnf(refute_0_4694,plain,
( join(complement(X_288),join(complement(complement(X_25)),meet(complement(X_25),X_288))) != top
| join(complement(X_288),join(X_25,meet(complement(X_25),X_288))) = top ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_4693]) ).
cnf(refute_0_4695,plain,
join(complement(X_288),join(X_25,meet(complement(X_25),X_288))) = top,
inference(resolve,[$cnf( $equal(join(complement(X_288),join(complement(complement(X_25)),meet(complement(X_25),X_288))),top) )],[refute_0_4692,refute_0_4694]) ).
cnf(refute_0_4696,plain,
join(complement(one),join(composition(X_308,complement(converse(X_308))),meet(complement(composition(X_308,complement(converse(X_308)))),one))) = top,
inference(subst,[],[refute_0_4695:[bind(X_25,$fot(composition(X_308,complement(converse(X_308))))),bind(X_288,$fot(one))]]) ).
cnf(refute_0_4697,plain,
join(complement(one),join(composition(A,complement(converse(A))),X_121)) = join(join(complement(one),composition(A,complement(converse(A)))),X_121),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(complement(one))),bind(B,$fot(composition(A,complement(converse(A))))),bind(C,$fot(X_121))]]) ).
cnf(refute_0_4698,plain,
join(complement(one),composition(converse(converse(A)),complement(converse(A)))) = complement(one),
inference(subst,[],[refute_0_1359:[bind(X_11,$fot(converse(A)))]]) ).
cnf(refute_0_4699,plain,
( converse(converse(A)) != A
| join(complement(one),composition(converse(converse(A)),complement(converse(A)))) != complement(one)
| join(complement(one),composition(A,complement(converse(A)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(converse(A)),complement(converse(A)))),complement(one)) ),[0,1,0],$fot(A)]]) ).
cnf(refute_0_4700,plain,
( join(complement(one),composition(converse(converse(A)),complement(converse(A)))) != complement(one)
| join(complement(one),composition(A,complement(converse(A)))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_4699]) ).
cnf(refute_0_4701,plain,
join(complement(one),composition(A,complement(converse(A)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(A)),complement(converse(A)))),complement(one)) )],[refute_0_4698,refute_0_4700]) ).
cnf(refute_0_4702,plain,
( join(complement(one),composition(A,complement(converse(A)))) != complement(one)
| join(complement(one),join(composition(A,complement(converse(A))),X_121)) != join(join(complement(one),composition(A,complement(converse(A)))),X_121)
| join(complement(one),join(composition(A,complement(converse(A))),X_121)) = join(complement(one),X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(A,complement(converse(A))),X_121)),join(join(complement(one),composition(A,complement(converse(A)))),X_121)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_4703,plain,
( join(complement(one),join(composition(A,complement(converse(A))),X_121)) != join(join(complement(one),composition(A,complement(converse(A)))),X_121)
| join(complement(one),join(composition(A,complement(converse(A))),X_121)) = join(complement(one),X_121) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(A,complement(converse(A)))),complement(one)) )],[refute_0_4701,refute_0_4702]) ).
cnf(refute_0_4704,plain,
join(complement(one),join(composition(A,complement(converse(A))),X_121)) = join(complement(one),X_121),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(A,complement(converse(A))),X_121)),join(join(complement(one),composition(A,complement(converse(A)))),X_121)) )],[refute_0_4697,refute_0_4703]) ).
cnf(refute_0_4705,plain,
join(complement(one),join(composition(X_308,complement(converse(X_308))),meet(complement(composition(X_308,complement(converse(X_308)))),one))) = join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)),
inference(subst,[],[refute_0_4704:[bind(A,$fot(X_308)),bind(X_121,$fot(meet(complement(composition(X_308,complement(converse(X_308)))),one)))]]) ).
cnf(refute_0_4706,plain,
( join(complement(one),join(composition(X_308,complement(converse(X_308))),meet(complement(composition(X_308,complement(converse(X_308)))),one))) != join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one))
| join(complement(one),join(composition(X_308,complement(converse(X_308))),meet(complement(composition(X_308,complement(converse(X_308)))),one))) != top
| join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(X_308,complement(converse(X_308))),meet(complement(composition(X_308,complement(converse(X_308)))),one))),top) ),[0],$fot(join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)))]]) ).
cnf(refute_0_4707,plain,
( join(complement(one),join(composition(X_308,complement(converse(X_308))),meet(complement(composition(X_308,complement(converse(X_308)))),one))) != top
| join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(X_308,complement(converse(X_308))),meet(complement(composition(X_308,complement(converse(X_308)))),one))),join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one))) )],[refute_0_4705,refute_0_4706]) ).
cnf(refute_0_4708,plain,
join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)) = top,
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(X_308,complement(converse(X_308))),meet(complement(composition(X_308,complement(converse(X_308)))),one))),top) )],[refute_0_4696,refute_0_4707]) ).
cnf(refute_0_4709,plain,
meet(complement(composition(X_308,complement(converse(X_308)))),one) = meet(one,complement(composition(X_308,complement(converse(X_308))))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(one)),bind(X_16,$fot(complement(composition(X_308,complement(converse(X_308))))))]]) ).
cnf(refute_0_4710,plain,
join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)) = join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)))]]) ).
cnf(refute_0_4711,plain,
( join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)) != join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one))
| meet(complement(composition(X_308,complement(converse(X_308)))),one) != meet(one,complement(composition(X_308,complement(converse(X_308)))))
| join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)) = join(complement(one),meet(one,complement(composition(X_308,complement(converse(X_308)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)),join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one))) ),[1,1],$fot(meet(one,complement(composition(X_308,complement(converse(X_308))))))]]) ).
cnf(refute_0_4712,plain,
( meet(complement(composition(X_308,complement(converse(X_308)))),one) != meet(one,complement(composition(X_308,complement(converse(X_308)))))
| join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)) = join(complement(one),meet(one,complement(composition(X_308,complement(converse(X_308)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)),join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one))) )],[refute_0_4710,refute_0_4711]) ).
cnf(refute_0_4713,plain,
join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)) = join(complement(one),meet(one,complement(composition(X_308,complement(converse(X_308)))))),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_308,complement(converse(X_308)))),one),meet(one,complement(composition(X_308,complement(converse(X_308)))))) )],[refute_0_4709,refute_0_4712]) ).
cnf(refute_0_4714,plain,
( join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)) != join(complement(one),meet(one,complement(composition(X_308,complement(converse(X_308))))))
| join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)) != top
| join(complement(one),meet(one,complement(composition(X_308,complement(converse(X_308)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)),top) ),[0],$fot(join(complement(one),meet(one,complement(composition(X_308,complement(converse(X_308)))))))]]) ).
cnf(refute_0_4715,plain,
( join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)) != top
| join(complement(one),meet(one,complement(composition(X_308,complement(converse(X_308)))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)),join(complement(one),meet(one,complement(composition(X_308,complement(converse(X_308))))))) )],[refute_0_4713,refute_0_4714]) ).
cnf(refute_0_4716,plain,
join(complement(one),meet(one,complement(composition(X_308,complement(converse(X_308)))))) = top,
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(composition(X_308,complement(converse(X_308)))),one)),top) )],[refute_0_4708,refute_0_4715]) ).
cnf(refute_0_4717,plain,
join(complement(one),meet(one,complement(composition(X_313,complement(converse(X_313)))))) = top,
inference(subst,[],[refute_0_4716:[bind(X_308,$fot(X_313))]]) ).
cnf(refute_0_4718,plain,
( join(complement(one),meet(one,complement(composition(X_313,complement(converse(X_313)))))) != top
| one != meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(join(complement(one),meet(one,complement(composition(X_313,complement(converse(X_313)))))))))))
| one = meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(join(complement(one),meet(one,complement(composition(X_313,complement(converse(X_313)))))))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).
cnf(refute_0_4719,plain,
( one != meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(join(complement(one),meet(one,complement(composition(X_313,complement(converse(X_313)))))))))))
| one = meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(composition(X_313,complement(converse(X_313)))))),top) )],[refute_0_4717,refute_0_4718]) ).
cnf(refute_0_4720,plain,
one = meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(one,meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(join(complement(one),meet(one,complement(composition(X_313,complement(converse(X_313)))))))))))) )],[refute_0_4672,refute_0_4719]) ).
cnf(refute_0_4721,plain,
meet(A,B) = meet(meet(A,B),join(meet(A,B),complement(join(complement(A),B)))),
inference(subst,[],[refute_0_1214:[bind(X_124,$fot(complement(join(complement(A),B)))),bind(X_41,$fot(meet(A,B)))]]) ).
cnf(refute_0_4722,plain,
( A != join(meet(A,B),complement(join(complement(A),B)))
| join(meet(A,B),complement(join(complement(A),B))) = A ),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(join(meet(A,B),complement(join(complement(A),B)))))]]) ).
cnf(refute_0_4723,plain,
join(meet(A,B),complement(join(complement(A),B))) = A,
inference(resolve,[$cnf( $equal(A,join(meet(A,B),complement(join(complement(A),B)))) )],[refute_0_169,refute_0_4722]) ).
cnf(refute_0_4724,plain,
( join(meet(A,B),complement(join(complement(A),B))) != A
| meet(A,B) != meet(meet(A,B),join(meet(A,B),complement(join(complement(A),B))))
| meet(A,B) = meet(meet(A,B),A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,B),meet(meet(A,B),join(meet(A,B),complement(join(complement(A),B))))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_4725,plain,
( meet(A,B) != meet(meet(A,B),join(meet(A,B),complement(join(complement(A),B))))
| meet(A,B) = meet(meet(A,B),A) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),complement(join(complement(A),B))),A) )],[refute_0_4723,refute_0_4724]) ).
cnf(refute_0_4726,plain,
meet(A,B) = meet(meet(A,B),A),
inference(resolve,[$cnf( $equal(meet(A,B),meet(meet(A,B),join(meet(A,B),complement(join(complement(A),B))))) )],[refute_0_4721,refute_0_4725]) ).
cnf(refute_0_4727,plain,
meet(meet(A,B),A) = meet(A,meet(A,B)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(A)),bind(X_16,$fot(meet(A,B)))]]) ).
cnf(refute_0_4728,plain,
( meet(A,B) != meet(meet(A,B),A)
| meet(meet(A,B),A) != meet(A,meet(A,B))
| meet(A,B) = meet(A,meet(A,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(A,B),meet(A,meet(A,B))) ),[0],$fot(meet(meet(A,B),A))]]) ).
cnf(refute_0_4729,plain,
( meet(A,B) != meet(meet(A,B),A)
| meet(A,B) = meet(A,meet(A,B)) ),
inference(resolve,[$cnf( $equal(meet(meet(A,B),A),meet(A,meet(A,B))) )],[refute_0_4727,refute_0_4728]) ).
cnf(refute_0_4730,plain,
meet(A,B) = meet(A,meet(A,B)),
inference(resolve,[$cnf( $equal(meet(A,B),meet(meet(A,B),A)) )],[refute_0_4726,refute_0_4729]) ).
cnf(refute_0_4731,plain,
( meet(A,B) != meet(A,meet(A,B))
| meet(A,meet(A,B)) = meet(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(A,B))),bind(Y,$fot(meet(A,meet(A,B))))]]) ).
cnf(refute_0_4732,plain,
meet(A,meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(A,B),meet(A,meet(A,B))) )],[refute_0_4730,refute_0_4731]) ).
cnf(refute_0_4733,plain,
meet(one,meet(one,complement(composition(X_313,complement(converse(X_313)))))) = meet(one,complement(composition(X_313,complement(converse(X_313))))),
inference(subst,[],[refute_0_4732:[bind(A,$fot(one)),bind(B,$fot(complement(composition(X_313,complement(converse(X_313))))))]]) ).
cnf(refute_0_4734,plain,
join(zero,meet(one,complement(composition(X_313,complement(converse(X_313)))))) = meet(one,complement(composition(X_313,complement(converse(X_313))))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(one,complement(composition(X_313,complement(converse(X_313)))))))]]) ).
cnf(refute_0_4735,plain,
converse(complement(converse(top))) = converse(complement(converse(top))),
introduced(tautology,[refl,[$fot(converse(complement(converse(top))))]]) ).
cnf(refute_0_4736,plain,
( complement(converse(top)) != zero
| converse(complement(converse(top))) != converse(complement(converse(top)))
| converse(complement(converse(top))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(top))),converse(complement(converse(top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4737,plain,
( complement(converse(top)) != zero
| converse(complement(converse(top))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(top))),converse(complement(converse(top)))) )],[refute_0_4735,refute_0_4736]) ).
cnf(refute_0_4738,plain,
converse(complement(converse(top))) = converse(zero),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2129,refute_0_4737]) ).
cnf(refute_0_4739,plain,
( converse(complement(converse(top))) != converse(zero)
| converse(zero) != zero
| converse(complement(converse(top))) = zero ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(complement(converse(top))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4740,plain,
( converse(zero) != zero
| converse(complement(converse(top))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(converse(top))),converse(zero)) )],[refute_0_4738,refute_0_4739]) ).
cnf(refute_0_4741,plain,
converse(complement(converse(top))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2338,refute_0_4740]) ).
cnf(refute_0_4742,plain,
join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) = join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))),
introduced(tautology,[refl,[$fot(join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))))]]) ).
cnf(refute_0_4743,plain,
( converse(complement(converse(top))) != zero
| join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) != join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313))))))
| join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) = join(zero,meet(one,complement(composition(X_313,complement(converse(X_313)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))),join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4744,plain,
( converse(complement(converse(top))) != zero
| join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) = join(zero,meet(one,complement(composition(X_313,complement(converse(X_313)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))),join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313))))))) )],[refute_0_4742,refute_0_4743]) ).
cnf(refute_0_4745,plain,
join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) = join(zero,meet(one,complement(composition(X_313,complement(converse(X_313)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(top))),zero) )],[refute_0_4741,refute_0_4744]) ).
cnf(refute_0_4746,plain,
( join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) != join(zero,meet(one,complement(composition(X_313,complement(converse(X_313))))))
| join(zero,meet(one,complement(composition(X_313,complement(converse(X_313)))))) != meet(one,complement(composition(X_313,complement(converse(X_313)))))
| join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) = meet(one,complement(composition(X_313,complement(converse(X_313))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))))),bind(Y,$fot(join(zero,meet(one,complement(composition(X_313,complement(converse(X_313)))))))),bind(Z,$fot(meet(one,complement(composition(X_313,complement(converse(X_313)))))))]]) ).
cnf(refute_0_4747,plain,
( join(zero,meet(one,complement(composition(X_313,complement(converse(X_313)))))) != meet(one,complement(composition(X_313,complement(converse(X_313)))))
| join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) = meet(one,complement(composition(X_313,complement(converse(X_313))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))),join(zero,meet(one,complement(composition(X_313,complement(converse(X_313))))))) )],[refute_0_4745,refute_0_4746]) ).
cnf(refute_0_4748,plain,
join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) = meet(one,complement(composition(X_313,complement(converse(X_313))))),
inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(composition(X_313,complement(converse(X_313)))))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) )],[refute_0_4734,refute_0_4747]) ).
cnf(refute_0_4749,plain,
converse(join(join(converse(X_143),X_142),join(converse(X_143),X_142))) = join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))),
inference(subst,[],[refute_0_1531:[bind(X_4,$fot(join(converse(X_143),X_142))),bind(X_6,$fot(X_142)),bind(X_7,$fot(X_143))]]) ).
cnf(refute_0_4750,plain,
join(join(converse(X_143),X_142),join(converse(X_143),X_142)) = join(converse(X_143),X_142),
inference(subst,[],[refute_0_1239:[bind(X_139,$fot(join(converse(X_143),X_142)))]]) ).
cnf(refute_0_4751,plain,
( converse(join(join(converse(X_143),X_142),join(converse(X_143),X_142))) != join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142)))
| join(join(converse(X_143),X_142),join(converse(X_143),X_142)) != join(converse(X_143),X_142)
| converse(join(converse(X_143),X_142)) = join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(X_143),X_142),join(converse(X_143),X_142))),join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142)))) ),[0,0],$fot(join(converse(X_143),X_142))]]) ).
cnf(refute_0_4752,plain,
( converse(join(join(converse(X_143),X_142),join(converse(X_143),X_142))) != join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142)))
| converse(join(converse(X_143),X_142)) = join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) ),
inference(resolve,[$cnf( $equal(join(join(converse(X_143),X_142),join(converse(X_143),X_142)),join(converse(X_143),X_142)) )],[refute_0_4750,refute_0_4751]) ).
cnf(refute_0_4753,plain,
converse(join(converse(X_143),X_142)) = join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))),
inference(resolve,[$cnf( $equal(converse(join(join(converse(X_143),X_142),join(converse(X_143),X_142))),join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142)))) )],[refute_0_4749,refute_0_4752]) ).
cnf(refute_0_4754,plain,
converse(join(converse(X_143),X_142)) = join(X_143,converse(X_142)),
inference(subst,[],[refute_0_93:[bind(A,$fot(X_143)),bind(X_5,$fot(X_142))]]) ).
cnf(refute_0_4755,plain,
( converse(join(converse(X_143),X_142)) != join(X_143,converse(X_142))
| converse(join(converse(X_143),X_142)) != join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142)))
| join(X_143,converse(X_142)) = join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_143),X_142)),join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142)))) ),[0],$fot(join(X_143,converse(X_142)))]]) ).
cnf(refute_0_4756,plain,
( converse(join(converse(X_143),X_142)) != join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142)))
| join(X_143,converse(X_142)) = join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) )],[refute_0_4754,refute_0_4755]) ).
cnf(refute_0_4757,plain,
join(X_142,X_142) = X_142,
inference(subst,[],[refute_0_1239:[bind(X_139,$fot(X_142))]]) ).
cnf(refute_0_4758,plain,
converse(join(X_142,X_142)) = converse(join(X_142,X_142)),
introduced(tautology,[refl,[$fot(converse(join(X_142,X_142)))]]) ).
cnf(refute_0_4759,plain,
( converse(join(X_142,X_142)) != converse(join(X_142,X_142))
| join(X_142,X_142) != X_142
| converse(join(X_142,X_142)) = converse(X_142) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_142,X_142)),converse(join(X_142,X_142))) ),[1,0],$fot(X_142)]]) ).
cnf(refute_0_4760,plain,
( join(X_142,X_142) != X_142
| converse(join(X_142,X_142)) = converse(X_142) ),
inference(resolve,[$cnf( $equal(converse(join(X_142,X_142)),converse(join(X_142,X_142))) )],[refute_0_4758,refute_0_4759]) ).
cnf(refute_0_4761,plain,
converse(join(X_142,X_142)) = converse(X_142),
inference(resolve,[$cnf( $equal(join(X_142,X_142),X_142) )],[refute_0_4757,refute_0_4760]) ).
cnf(refute_0_4762,plain,
join(converse(join(X_142,X_142)),X_143) = join(converse(join(X_142,X_142)),X_143),
introduced(tautology,[refl,[$fot(join(converse(join(X_142,X_142)),X_143))]]) ).
cnf(refute_0_4763,plain,
( converse(join(X_142,X_142)) != converse(X_142)
| join(converse(join(X_142,X_142)),X_143) != join(converse(join(X_142,X_142)),X_143)
| join(converse(join(X_142,X_142)),X_143) = join(converse(X_142),X_143) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_142,X_142)),X_143),join(converse(join(X_142,X_142)),X_143)) ),[1,0],$fot(converse(X_142))]]) ).
cnf(refute_0_4764,plain,
( converse(join(X_142,X_142)) != converse(X_142)
| join(converse(join(X_142,X_142)),X_143) = join(converse(X_142),X_143) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_142,X_142)),X_143),join(converse(join(X_142,X_142)),X_143)) )],[refute_0_4762,refute_0_4763]) ).
cnf(refute_0_4765,plain,
join(converse(join(X_142,X_142)),X_143) = join(converse(X_142),X_143),
inference(resolve,[$cnf( $equal(converse(join(X_142,X_142)),converse(X_142)) )],[refute_0_4761,refute_0_4764]) ).
cnf(refute_0_4766,plain,
converse(join(X_142,join(X_142,converse(X_143)))) = join(converse(join(X_142,X_142)),X_143),
inference(subst,[],[refute_0_1279:[bind(A,$fot(X_143)),bind(X_119,$fot(X_142)),bind(X_120,$fot(X_142))]]) ).
cnf(refute_0_4767,plain,
join(converse(X_142),converse(join(X_142,converse(X_143)))) = converse(join(X_142,join(X_142,converse(X_143)))),
inference(subst,[],[refute_0_682:[bind(A,$fot(X_142)),bind(B,$fot(join(X_142,converse(X_143))))]]) ).
cnf(refute_0_4768,plain,
( converse(join(X_142,join(X_142,converse(X_143)))) != join(converse(join(X_142,X_142)),X_143)
| join(converse(X_142),converse(join(X_142,converse(X_143)))) != converse(join(X_142,join(X_142,converse(X_143))))
| join(converse(X_142),converse(join(X_142,converse(X_143)))) = join(converse(join(X_142,X_142)),X_143) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(X_142),converse(join(X_142,converse(X_143)))))),bind(Y,$fot(converse(join(X_142,join(X_142,converse(X_143)))))),bind(Z,$fot(join(converse(join(X_142,X_142)),X_143)))]]) ).
cnf(refute_0_4769,plain,
( converse(join(X_142,join(X_142,converse(X_143)))) != join(converse(join(X_142,X_142)),X_143)
| join(converse(X_142),converse(join(X_142,converse(X_143)))) = join(converse(join(X_142,X_142)),X_143) ),
inference(resolve,[$cnf( $equal(join(converse(X_142),converse(join(X_142,converse(X_143)))),converse(join(X_142,join(X_142,converse(X_143))))) )],[refute_0_4767,refute_0_4768]) ).
cnf(refute_0_4770,plain,
join(converse(X_142),converse(join(X_142,converse(X_143)))) = join(converse(join(X_142,X_142)),X_143),
inference(resolve,[$cnf( $equal(converse(join(X_142,join(X_142,converse(X_143)))),join(converse(join(X_142,X_142)),X_143)) )],[refute_0_4766,refute_0_4769]) ).
cnf(refute_0_4771,plain,
( join(converse(X_142),converse(join(X_142,converse(X_143)))) != join(converse(join(X_142,X_142)),X_143)
| join(converse(join(X_142,X_142)),X_143) != join(converse(X_142),X_143)
| join(converse(X_142),converse(join(X_142,converse(X_143)))) = join(converse(X_142),X_143) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(X_142),converse(join(X_142,converse(X_143)))))),bind(Y,$fot(join(converse(join(X_142,X_142)),X_143))),bind(Z,$fot(join(converse(X_142),X_143)))]]) ).
cnf(refute_0_4772,plain,
( join(converse(join(X_142,X_142)),X_143) != join(converse(X_142),X_143)
| join(converse(X_142),converse(join(X_142,converse(X_143)))) = join(converse(X_142),X_143) ),
inference(resolve,[$cnf( $equal(join(converse(X_142),converse(join(X_142,converse(X_143)))),join(converse(join(X_142,X_142)),X_143)) )],[refute_0_4770,refute_0_4771]) ).
cnf(refute_0_4773,plain,
join(converse(X_142),converse(join(X_142,converse(X_143)))) = join(converse(X_142),X_143),
inference(resolve,[$cnf( $equal(join(converse(join(X_142,X_142)),X_143),join(converse(X_142),X_143)) )],[refute_0_4765,refute_0_4772]) ).
cnf(refute_0_4774,plain,
join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))) = join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))),
introduced(tautology,[refl,[$fot(join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))))]]) ).
cnf(refute_0_4775,plain,
( join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))) != join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143)))))
| join(converse(X_142),converse(join(X_142,converse(X_143)))) != join(converse(X_142),X_143)
| join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))) = join(X_143,join(converse(X_142),X_143)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))),join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143)))))) ),[1,1],$fot(join(converse(X_142),X_143))]]) ).
cnf(refute_0_4776,plain,
( join(converse(X_142),converse(join(X_142,converse(X_143)))) != join(converse(X_142),X_143)
| join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))) = join(X_143,join(converse(X_142),X_143)) ),
inference(resolve,[$cnf( $equal(join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))),join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143)))))) )],[refute_0_4774,refute_0_4775]) ).
cnf(refute_0_4777,plain,
join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))) = join(X_143,join(converse(X_142),X_143)),
inference(resolve,[$cnf( $equal(join(converse(X_142),converse(join(X_142,converse(X_143)))),join(converse(X_142),X_143)) )],[refute_0_4773,refute_0_4776]) ).
cnf(refute_0_4778,plain,
join(join(X_143,converse(X_142)),converse(join(X_142,converse(X_143)))) = join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_143)),bind(B,$fot(converse(X_142))),bind(C,$fot(converse(join(X_142,converse(X_143)))))]]) ).
cnf(refute_0_4779,plain,
join(X_142,converse(X_143)) = join(converse(X_143),X_142),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_142)),bind(B,$fot(converse(X_143)))]]) ).
cnf(refute_0_4780,plain,
( join(X_142,converse(X_143)) != join(converse(X_143),X_142)
| join(converse(X_143),X_142) = join(X_142,converse(X_143)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_142,converse(X_143)))),bind(Y,$fot(join(converse(X_143),X_142)))]]) ).
cnf(refute_0_4781,plain,
join(converse(X_143),X_142) = join(X_142,converse(X_143)),
inference(resolve,[$cnf( $equal(join(X_142,converse(X_143)),join(converse(X_143),X_142)) )],[refute_0_4779,refute_0_4780]) ).
cnf(refute_0_4782,plain,
( converse(join(X_141,join(converse(X_143),X_142))) != join(converse(X_141),join(X_143,converse(X_142)))
| join(converse(X_143),X_142) != join(X_142,converse(X_143))
| converse(join(X_141,join(X_142,converse(X_143)))) = join(converse(X_141),join(X_143,converse(X_142))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_141,join(converse(X_143),X_142))),join(converse(X_141),join(X_143,converse(X_142)))) ),[0,0,1],$fot(join(X_142,converse(X_143)))]]) ).
cnf(refute_0_4783,plain,
( converse(join(X_141,join(converse(X_143),X_142))) != join(converse(X_141),join(X_143,converse(X_142)))
| converse(join(X_141,join(X_142,converse(X_143)))) = join(converse(X_141),join(X_143,converse(X_142))) ),
inference(resolve,[$cnf( $equal(join(converse(X_143),X_142),join(X_142,converse(X_143))) )],[refute_0_4781,refute_0_4782]) ).
cnf(refute_0_4784,plain,
converse(join(X_141,join(X_142,converse(X_143)))) = join(converse(X_141),join(X_143,converse(X_142))),
inference(resolve,[$cnf( $equal(converse(join(X_141,join(converse(X_143),X_142))),join(converse(X_141),join(X_143,converse(X_142)))) )],[refute_0_1533,refute_0_4783]) ).
cnf(refute_0_4785,plain,
converse(join(X_141,join(X_142,converse(X_143)))) = join(converse(join(X_141,X_142)),X_143),
inference(subst,[],[refute_0_1279:[bind(A,$fot(X_143)),bind(X_119,$fot(X_141)),bind(X_120,$fot(X_142))]]) ).
cnf(refute_0_4786,plain,
( converse(join(X_141,join(X_142,converse(X_143)))) != join(converse(X_141),join(X_143,converse(X_142)))
| converse(join(X_141,join(X_142,converse(X_143)))) != join(converse(join(X_141,X_142)),X_143)
| join(converse(join(X_141,X_142)),X_143) = join(converse(X_141),join(X_143,converse(X_142))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_141,join(X_142,converse(X_143)))),join(converse(X_141),join(X_143,converse(X_142)))) ),[0],$fot(join(converse(join(X_141,X_142)),X_143))]]) ).
cnf(refute_0_4787,plain,
( converse(join(X_141,join(X_142,converse(X_143)))) != join(converse(X_141),join(X_143,converse(X_142)))
| join(converse(join(X_141,X_142)),X_143) = join(converse(X_141),join(X_143,converse(X_142))) ),
inference(resolve,[$cnf( $equal(converse(join(X_141,join(X_142,converse(X_143)))),join(converse(join(X_141,X_142)),X_143)) )],[refute_0_4785,refute_0_4786]) ).
cnf(refute_0_4788,plain,
( converse(join(X_141,join(converse(X_143),X_142))) != join(X_143,converse(join(X_142,X_141)))
| join(converse(X_141),join(X_143,converse(X_142))) != converse(join(X_141,join(converse(X_143),X_142)))
| join(converse(X_141),join(X_143,converse(X_142))) = join(X_143,converse(join(X_142,X_141))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(X_141),join(X_143,converse(X_142))))),bind(Y,$fot(converse(join(X_141,join(converse(X_143),X_142))))),bind(Z,$fot(join(X_143,converse(join(X_142,X_141)))))]]) ).
cnf(refute_0_4789,plain,
( converse(join(X_141,join(converse(X_143),X_142))) != join(X_143,converse(join(X_142,X_141)))
| join(converse(X_141),join(X_143,converse(X_142))) = join(X_143,converse(join(X_142,X_141))) ),
inference(resolve,[$cnf( $equal(join(converse(X_141),join(X_143,converse(X_142))),converse(join(X_141,join(converse(X_143),X_142)))) )],[refute_0_1535,refute_0_4788]) ).
cnf(refute_0_4790,plain,
join(converse(X_141),join(X_143,converse(X_142))) = join(X_143,converse(join(X_142,X_141))),
inference(resolve,[$cnf( $equal(converse(join(X_141,join(converse(X_143),X_142))),join(X_143,converse(join(X_142,X_141)))) )],[refute_0_1552,refute_0_4789]) ).
cnf(refute_0_4791,plain,
( join(converse(X_141),join(X_143,converse(X_142))) != join(X_143,converse(join(X_142,X_141)))
| join(converse(join(X_141,X_142)),X_143) != join(converse(X_141),join(X_143,converse(X_142)))
| join(converse(join(X_141,X_142)),X_143) = join(X_143,converse(join(X_142,X_141))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_141,X_142)),X_143),join(converse(X_141),join(X_143,converse(X_142)))) ),[1],$fot(join(X_143,converse(join(X_142,X_141))))]]) ).
cnf(refute_0_4792,plain,
( join(converse(join(X_141,X_142)),X_143) != join(converse(X_141),join(X_143,converse(X_142)))
| join(converse(join(X_141,X_142)),X_143) = join(X_143,converse(join(X_142,X_141))) ),
inference(resolve,[$cnf( $equal(join(converse(X_141),join(X_143,converse(X_142))),join(X_143,converse(join(X_142,X_141)))) )],[refute_0_4790,refute_0_4791]) ).
cnf(refute_0_4793,plain,
( converse(join(X_141,join(X_142,converse(X_143)))) != join(converse(X_141),join(X_143,converse(X_142)))
| join(converse(join(X_141,X_142)),X_143) = join(X_143,converse(join(X_142,X_141))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_141,X_142)),X_143),join(converse(X_141),join(X_143,converse(X_142)))) )],[refute_0_4787,refute_0_4792]) ).
cnf(refute_0_4794,plain,
join(converse(join(X_141,X_142)),X_143) = join(X_143,converse(join(X_142,X_141))),
inference(resolve,[$cnf( $equal(converse(join(X_141,join(X_142,converse(X_143)))),join(converse(X_141),join(X_143,converse(X_142)))) )],[refute_0_4784,refute_0_4793]) ).
cnf(refute_0_4795,plain,
join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) = join(join(X_143,converse(X_142)),converse(join(X_142,converse(X_143)))),
inference(subst,[],[refute_0_4794:[bind(X_141,$fot(converse(X_143))),bind(X_143,$fot(join(X_143,converse(X_142))))]]) ).
cnf(refute_0_4796,plain,
( join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) != join(join(X_143,converse(X_142)),converse(join(X_142,converse(X_143))))
| join(join(X_143,converse(X_142)),converse(join(X_142,converse(X_143)))) != join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143)))))
| join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) = join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))))),bind(Y,$fot(join(join(X_143,converse(X_142)),converse(join(X_142,converse(X_143)))))),bind(Z,$fot(join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143)))))))]]) ).
cnf(refute_0_4797,plain,
( join(join(X_143,converse(X_142)),converse(join(X_142,converse(X_143)))) != join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143)))))
| join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) = join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))),join(join(X_143,converse(X_142)),converse(join(X_142,converse(X_143))))) )],[refute_0_4795,refute_0_4796]) ).
cnf(refute_0_4798,plain,
join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) = join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))),
inference(resolve,[$cnf( $equal(join(join(X_143,converse(X_142)),converse(join(X_142,converse(X_143)))),join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143)))))) )],[refute_0_4778,refute_0_4797]) ).
cnf(refute_0_4799,plain,
( join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))) != join(X_143,join(converse(X_142),X_143))
| join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) != join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143)))))
| join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) = join(X_143,join(converse(X_142),X_143)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))))),bind(Y,$fot(join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))))),bind(Z,$fot(join(X_143,join(converse(X_142),X_143))))]]) ).
cnf(refute_0_4800,plain,
( join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))) != join(X_143,join(converse(X_142),X_143))
| join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) = join(X_143,join(converse(X_142),X_143)) ),
inference(resolve,[$cnf( $equal(join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))),join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143)))))) )],[refute_0_4798,refute_0_4799]) ).
cnf(refute_0_4801,plain,
join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) = join(X_143,join(converse(X_142),X_143)),
inference(resolve,[$cnf( $equal(join(X_143,join(converse(X_142),converse(join(X_142,converse(X_143))))),join(X_143,join(converse(X_142),X_143))) )],[refute_0_4777,refute_0_4800]) ).
cnf(refute_0_4802,plain,
( join(X_143,converse(X_142)) != join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142)))
| join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))) != join(X_143,join(converse(X_142),X_143))
| join(X_143,converse(X_142)) = join(X_143,join(converse(X_142),X_143)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_143,converse(X_142)),join(X_143,join(converse(X_142),X_143))) ),[0],$fot(join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))))]]) ).
cnf(refute_0_4803,plain,
( join(X_143,converse(X_142)) != join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142)))
| join(X_143,converse(X_142)) = join(X_143,join(converse(X_142),X_143)) ),
inference(resolve,[$cnf( $equal(join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142))),join(X_143,join(converse(X_142),X_143))) )],[refute_0_4801,refute_0_4802]) ).
cnf(refute_0_4804,plain,
( converse(join(converse(X_143),X_142)) != join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142)))
| join(X_143,converse(X_142)) = join(X_143,join(converse(X_142),X_143)) ),
inference(resolve,[$cnf( $equal(join(X_143,converse(X_142)),join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142)))) )],[refute_0_4756,refute_0_4803]) ).
cnf(refute_0_4805,plain,
join(X_143,converse(X_142)) = join(X_143,join(converse(X_142),X_143)),
inference(resolve,[$cnf( $equal(converse(join(converse(X_143),X_142)),join(converse(join(converse(X_143),X_142)),join(X_143,converse(X_142)))) )],[refute_0_4753,refute_0_4804]) ).
cnf(refute_0_4806,plain,
( join(X_298,X_300) != join(X_300,join(X_298,X_300))
| join(X_300,join(X_298,X_300)) = join(X_298,X_300) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_298,X_300))),bind(Y,$fot(join(X_300,join(X_298,X_300))))]]) ).
cnf(refute_0_4807,plain,
join(X_300,join(X_298,X_300)) = join(X_298,X_300),
inference(resolve,[$cnf( $equal(join(X_298,X_300),join(X_300,join(X_298,X_300))) )],[refute_0_1243,refute_0_4806]) ).
cnf(refute_0_4808,plain,
join(X_143,join(converse(X_142),X_143)) = join(converse(X_142),X_143),
inference(subst,[],[refute_0_4807:[bind(X_298,$fot(converse(X_142))),bind(X_300,$fot(X_143))]]) ).
cnf(refute_0_4809,plain,
( join(X_143,converse(X_142)) != join(X_143,join(converse(X_142),X_143))
| join(X_143,join(converse(X_142),X_143)) != join(converse(X_142),X_143)
| join(X_143,converse(X_142)) = join(converse(X_142),X_143) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_143,converse(X_142)),join(converse(X_142),X_143)) ),[0],$fot(join(X_143,join(converse(X_142),X_143)))]]) ).
cnf(refute_0_4810,plain,
( join(X_143,converse(X_142)) != join(X_143,join(converse(X_142),X_143))
| join(X_143,converse(X_142)) = join(converse(X_142),X_143) ),
inference(resolve,[$cnf( $equal(join(X_143,join(converse(X_142),X_143)),join(converse(X_142),X_143)) )],[refute_0_4808,refute_0_4809]) ).
cnf(refute_0_4811,plain,
join(X_143,converse(X_142)) = join(converse(X_142),X_143),
inference(resolve,[$cnf( $equal(join(X_143,converse(X_142)),join(X_143,join(converse(X_142),X_143))) )],[refute_0_4805,refute_0_4810]) ).
cnf(refute_0_4812,plain,
join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))) = join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))),
inference(subst,[],[refute_0_4811:[bind(X_142,$fot(complement(converse(top)))),bind(X_143,$fot(meet(one,complement(composition(X_313,complement(converse(X_313)))))))]]) ).
cnf(refute_0_4813,plain,
( join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) != meet(one,complement(composition(X_313,complement(converse(X_313)))))
| join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))) != join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313))))))
| join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))) = meet(one,complement(composition(X_313,complement(converse(X_313))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))))),bind(Y,$fot(join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))))),bind(Z,$fot(meet(one,complement(composition(X_313,complement(converse(X_313)))))))]]) ).
cnf(refute_0_4814,plain,
( join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) != meet(one,complement(composition(X_313,complement(converse(X_313)))))
| join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))) = meet(one,complement(composition(X_313,complement(converse(X_313))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))),join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313))))))) )],[refute_0_4812,refute_0_4813]) ).
cnf(refute_0_4815,plain,
join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))) = meet(one,complement(composition(X_313,complement(converse(X_313))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),meet(one,complement(composition(X_313,complement(converse(X_313)))))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) )],[refute_0_4748,refute_0_4814]) ).
cnf(refute_0_4816,plain,
meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))) = meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))))]]) ).
cnf(refute_0_4817,plain,
( join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))) != meet(one,complement(composition(X_313,complement(converse(X_313)))))
| meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))) != meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))))
| meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))) = meet(one,meet(one,complement(composition(X_313,complement(converse(X_313)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))),meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))))) ),[1,1],$fot(meet(one,complement(composition(X_313,complement(converse(X_313))))))]]) ).
cnf(refute_0_4818,plain,
( join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))) != meet(one,complement(composition(X_313,complement(converse(X_313)))))
| meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))) = meet(one,meet(one,complement(composition(X_313,complement(converse(X_313)))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))),meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))))) )],[refute_0_4816,refute_0_4817]) ).
cnf(refute_0_4819,plain,
meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))) = meet(one,meet(one,complement(composition(X_313,complement(converse(X_313)))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) )],[refute_0_4815,refute_0_4818]) ).
cnf(refute_0_4820,plain,
( meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))) != meet(one,meet(one,complement(composition(X_313,complement(converse(X_313))))))
| meet(one,meet(one,complement(composition(X_313,complement(converse(X_313)))))) != meet(one,complement(composition(X_313,complement(converse(X_313)))))
| meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))) = meet(one,complement(composition(X_313,complement(converse(X_313))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))))),bind(Y,$fot(meet(one,meet(one,complement(composition(X_313,complement(converse(X_313)))))))),bind(Z,$fot(meet(one,complement(composition(X_313,complement(converse(X_313)))))))]]) ).
cnf(refute_0_4821,plain,
( meet(one,meet(one,complement(composition(X_313,complement(converse(X_313)))))) != meet(one,complement(composition(X_313,complement(converse(X_313)))))
| meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))) = meet(one,complement(composition(X_313,complement(converse(X_313))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))),meet(one,meet(one,complement(composition(X_313,complement(converse(X_313))))))) )],[refute_0_4819,refute_0_4820]) ).
cnf(refute_0_4822,plain,
meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))) = meet(one,complement(composition(X_313,complement(converse(X_313))))),
inference(resolve,[$cnf( $equal(meet(one,meet(one,complement(composition(X_313,complement(converse(X_313)))))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) )],[refute_0_4733,refute_0_4821]) ).
cnf(refute_0_4823,plain,
( meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))) != meet(one,complement(composition(X_313,complement(converse(X_313)))))
| one != meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))))
| one = meet(one,complement(composition(X_313,complement(converse(X_313))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))))) ),[1],$fot(meet(one,complement(composition(X_313,complement(converse(X_313))))))]]) ).
cnf(refute_0_4824,plain,
( one != meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))))
| one = meet(one,complement(composition(X_313,complement(converse(X_313))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top))))),meet(one,complement(composition(X_313,complement(converse(X_313)))))) )],[refute_0_4822,refute_0_4823]) ).
cnf(refute_0_4825,plain,
one = meet(one,complement(composition(X_313,complement(converse(X_313))))),
inference(resolve,[$cnf( $equal(one,meet(one,join(meet(one,complement(composition(X_313,complement(converse(X_313))))),converse(complement(converse(top)))))) )],[refute_0_4720,refute_0_4824]) ).
cnf(refute_0_4826,plain,
( one != meet(one,complement(composition(X_313,complement(converse(X_313)))))
| meet(one,complement(composition(X_313,complement(converse(X_313))))) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(meet(one,complement(composition(X_313,complement(converse(X_313)))))))]]) ).
cnf(refute_0_4827,plain,
meet(one,complement(composition(X_313,complement(converse(X_313))))) = one,
inference(resolve,[$cnf( $equal(one,meet(one,complement(composition(X_313,complement(converse(X_313)))))) )],[refute_0_4825,refute_0_4826]) ).
cnf(refute_0_4828,plain,
( meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) != complement(join(complement(X_361),meet(one,complement(composition(X_313,complement(converse(X_313)))))))
| meet(one,complement(composition(X_313,complement(converse(X_313))))) != one
| meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) = complement(join(complement(X_361),one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))),complement(join(complement(X_361),meet(one,complement(composition(X_313,complement(converse(X_313)))))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_4829,plain,
( meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) != complement(join(complement(X_361),meet(one,complement(composition(X_313,complement(converse(X_313)))))))
| meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) = complement(join(complement(X_361),one)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(X_313,complement(converse(X_313))))),one) )],[refute_0_4827,refute_0_4828]) ).
cnf(refute_0_4830,plain,
meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) = complement(join(complement(X_361),one)),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))),complement(join(complement(X_361),meet(one,complement(composition(X_313,complement(converse(X_313)))))))) )],[refute_0_4656,refute_0_4829]) ).
cnf(refute_0_4831,plain,
complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))) = complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))),
introduced(tautology,[refl,[$fot(complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))))]]) ).
cnf(refute_0_4832,plain,
( complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))) != complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))
| meet(one,complement(composition(X_313,complement(converse(X_313))))) != one
| complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))),complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4833,plain,
( meet(one,complement(composition(X_313,complement(converse(X_313))))) != one
| complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))),complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) )],[refute_0_4831,refute_0_4832]) ).
cnf(refute_0_4834,plain,
complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))) = complement(one),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(X_313,complement(converse(X_313))))),one) )],[refute_0_4827,refute_0_4833]) ).
cnf(refute_0_4835,plain,
meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) = meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))),
introduced(tautology,[refl,[$fot(meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))))]]) ).
cnf(refute_0_4836,plain,
( complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))) != complement(one)
| meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) != meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))))
| meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) = meet(X_361,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))),meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_4837,plain,
( complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))) != complement(one)
| meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) = meet(X_361,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))),meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))))) )],[refute_0_4835,refute_0_4836]) ).
cnf(refute_0_4838,plain,
meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) = meet(X_361,complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(composition(X_313,complement(converse(X_313)))))),complement(one)) )],[refute_0_4834,refute_0_4837]) ).
cnf(refute_0_4839,plain,
( meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) != complement(join(complement(X_361),one))
| meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) != meet(X_361,complement(one))
| meet(X_361,complement(one)) = complement(join(complement(X_361),one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))),complement(join(complement(X_361),one))) ),[0],$fot(meet(X_361,complement(one)))]]) ).
cnf(refute_0_4840,plain,
( meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) != complement(join(complement(X_361),one))
| meet(X_361,complement(one)) = complement(join(complement(X_361),one)) ),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))),meet(X_361,complement(one))) )],[refute_0_4838,refute_0_4839]) ).
cnf(refute_0_4841,plain,
complement(join(complement(X_361),one)) = complement(join(one,complement(X_361))),
inference(subst,[],[refute_0_4518:[bind(A,$fot(one)),bind(B,$fot(complement(X_361)))]]) ).
cnf(refute_0_4842,plain,
( complement(join(complement(X_361),one)) != complement(join(one,complement(X_361)))
| meet(X_361,complement(one)) != complement(join(complement(X_361),one))
| meet(X_361,complement(one)) = complement(join(one,complement(X_361))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_361,complement(one)),complement(join(complement(X_361),one))) ),[1],$fot(complement(join(one,complement(X_361))))]]) ).
cnf(refute_0_4843,plain,
( meet(X_361,complement(one)) != complement(join(complement(X_361),one))
| meet(X_361,complement(one)) = complement(join(one,complement(X_361))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_361),one)),complement(join(one,complement(X_361)))) )],[refute_0_4841,refute_0_4842]) ).
cnf(refute_0_4844,plain,
( meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))) != complement(join(complement(X_361),one))
| meet(X_361,complement(one)) = complement(join(one,complement(X_361))) ),
inference(resolve,[$cnf( $equal(meet(X_361,complement(one)),complement(join(complement(X_361),one))) )],[refute_0_4840,refute_0_4843]) ).
cnf(refute_0_4845,plain,
meet(X_361,complement(one)) = complement(join(one,complement(X_361))),
inference(resolve,[$cnf( $equal(meet(X_361,complement(meet(one,complement(composition(X_313,complement(converse(X_313))))))),complement(join(complement(X_361),one))) )],[refute_0_4830,refute_0_4844]) ).
cnf(refute_0_4846,plain,
meet(complement(X_25),complement(one)) = complement(join(one,complement(complement(X_25)))),
inference(subst,[],[refute_0_4845:[bind(X_361,$fot(complement(X_25)))]]) ).
cnf(refute_0_4847,plain,
( complement(complement(X_25)) != X_25
| meet(complement(X_25),complement(one)) != complement(join(one,complement(complement(X_25))))
| meet(complement(X_25),complement(one)) = complement(join(one,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_25),complement(one)),complement(join(one,complement(complement(X_25))))) ),[1,0,1],$fot(X_25)]]) ).
cnf(refute_0_4848,plain,
( meet(complement(X_25),complement(one)) != complement(join(one,complement(complement(X_25))))
| meet(complement(X_25),complement(one)) = complement(join(one,X_25)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_4847]) ).
cnf(refute_0_4849,plain,
meet(complement(X_25),complement(one)) = complement(join(one,X_25)),
inference(resolve,[$cnf( $equal(meet(complement(X_25),complement(one)),complement(join(one,complement(complement(X_25))))) )],[refute_0_4846,refute_0_4848]) ).
cnf(refute_0_4850,plain,
meet(complement(X_463),complement(one)) = complement(join(one,X_463)),
inference(subst,[],[refute_0_4849:[bind(X_25,$fot(X_463))]]) ).
cnf(refute_0_4851,plain,
( meet(X_361,complement(one)) != complement(join(one,complement(X_361)))
| complement(join(one,complement(X_361))) = meet(X_361,complement(one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_361,complement(one)))),bind(Y,$fot(complement(join(one,complement(X_361)))))]]) ).
cnf(refute_0_4852,plain,
complement(join(one,complement(X_361))) = meet(X_361,complement(one)),
inference(resolve,[$cnf( $equal(meet(X_361,complement(one)),complement(join(one,complement(X_361)))) )],[refute_0_4845,refute_0_4851]) ).
cnf(refute_0_4853,plain,
complement(join(one,complement(complement(X_463)))) = meet(complement(X_463),complement(one)),
inference(subst,[],[refute_0_4852:[bind(X_361,$fot(complement(X_463)))]]) ).
cnf(refute_0_4854,plain,
( complement(join(one,complement(complement(X_463)))) != meet(complement(X_463),complement(one))
| meet(complement(X_463),complement(one)) != complement(join(one,X_463))
| complement(join(one,complement(complement(X_463)))) = complement(join(one,X_463)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(join(one,complement(complement(X_463)))))),bind(Y,$fot(meet(complement(X_463),complement(one)))),bind(Z,$fot(complement(join(one,X_463))))]]) ).
cnf(refute_0_4855,plain,
( meet(complement(X_463),complement(one)) != complement(join(one,X_463))
| complement(join(one,complement(complement(X_463)))) = complement(join(one,X_463)) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(complement(X_463)))),meet(complement(X_463),complement(one))) )],[refute_0_4853,refute_0_4854]) ).
cnf(refute_0_4856,plain,
complement(join(one,complement(complement(X_463)))) = complement(join(one,X_463)),
inference(resolve,[$cnf( $equal(meet(complement(X_463),complement(one)),complement(join(one,X_463))) )],[refute_0_4850,refute_0_4855]) ).
cnf(refute_0_4857,plain,
meet(X_463,complement(join(one,complement(complement(X_463))))) = meet(X_463,complement(join(one,complement(complement(X_463))))),
introduced(tautology,[refl,[$fot(meet(X_463,complement(join(one,complement(complement(X_463))))))]]) ).
cnf(refute_0_4858,plain,
( complement(join(one,complement(complement(X_463)))) != complement(join(one,X_463))
| meet(X_463,complement(join(one,complement(complement(X_463))))) != meet(X_463,complement(join(one,complement(complement(X_463)))))
| meet(X_463,complement(join(one,complement(complement(X_463))))) = meet(X_463,complement(join(one,X_463))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_463,complement(join(one,complement(complement(X_463))))),meet(X_463,complement(join(one,complement(complement(X_463)))))) ),[1,1],$fot(complement(join(one,X_463)))]]) ).
cnf(refute_0_4859,plain,
( complement(join(one,complement(complement(X_463)))) != complement(join(one,X_463))
| meet(X_463,complement(join(one,complement(complement(X_463))))) = meet(X_463,complement(join(one,X_463))) ),
inference(resolve,[$cnf( $equal(meet(X_463,complement(join(one,complement(complement(X_463))))),meet(X_463,complement(join(one,complement(complement(X_463)))))) )],[refute_0_4857,refute_0_4858]) ).
cnf(refute_0_4860,plain,
meet(X_463,complement(join(one,complement(complement(X_463))))) = meet(X_463,complement(join(one,X_463))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(complement(X_463)))),complement(join(one,X_463))) )],[refute_0_4856,refute_0_4859]) ).
cnf(refute_0_4861,plain,
meet(X_463,complement(join(X_462,one))) = complement(join(one,join(complement(X_463),X_462))),
inference(subst,[],[refute_0_4648:[bind(X_135,$fot(X_462)),bind(X_361,$fot(X_463))]]) ).
cnf(refute_0_4862,plain,
join(one,X_462) = join(X_462,one),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(one)),bind(B,$fot(X_462))]]) ).
cnf(refute_0_4863,plain,
( join(one,X_462) != join(X_462,one)
| join(X_462,one) = join(one,X_462) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,X_462))),bind(Y,$fot(join(X_462,one)))]]) ).
cnf(refute_0_4864,plain,
join(X_462,one) = join(one,X_462),
inference(resolve,[$cnf( $equal(join(one,X_462),join(X_462,one)) )],[refute_0_4862,refute_0_4863]) ).
cnf(refute_0_4865,plain,
( join(X_462,one) != join(one,X_462)
| meet(X_463,complement(join(X_462,one))) != complement(join(one,join(complement(X_463),X_462)))
| meet(X_463,complement(join(one,X_462))) = complement(join(one,join(complement(X_463),X_462))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_463,complement(join(X_462,one))),complement(join(one,join(complement(X_463),X_462)))) ),[0,1,0],$fot(join(one,X_462))]]) ).
cnf(refute_0_4866,plain,
( meet(X_463,complement(join(X_462,one))) != complement(join(one,join(complement(X_463),X_462)))
| meet(X_463,complement(join(one,X_462))) = complement(join(one,join(complement(X_463),X_462))) ),
inference(resolve,[$cnf( $equal(join(X_462,one),join(one,X_462)) )],[refute_0_4864,refute_0_4865]) ).
cnf(refute_0_4867,plain,
meet(X_463,complement(join(one,X_462))) = complement(join(one,join(complement(X_463),X_462))),
inference(resolve,[$cnf( $equal(meet(X_463,complement(join(X_462,one))),complement(join(one,join(complement(X_463),X_462)))) )],[refute_0_4861,refute_0_4866]) ).
cnf(refute_0_4868,plain,
( meet(X_361,complement(join(X_135,one))) != complement(join(one,join(complement(X_361),X_135)))
| complement(join(one,join(complement(X_361),X_135))) = meet(X_361,complement(join(X_135,one))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_361,complement(join(X_135,one))))),bind(Y,$fot(complement(join(one,join(complement(X_361),X_135)))))]]) ).
cnf(refute_0_4869,plain,
complement(join(one,join(complement(X_361),X_135))) = meet(X_361,complement(join(X_135,one))),
inference(resolve,[$cnf( $equal(meet(X_361,complement(join(X_135,one))),complement(join(one,join(complement(X_361),X_135)))) )],[refute_0_4648,refute_0_4868]) ).
cnf(refute_0_4870,plain,
complement(join(one,join(complement(X_463),X_462))) = meet(X_463,complement(join(X_462,one))),
inference(subst,[],[refute_0_4869:[bind(X_135,$fot(X_462)),bind(X_361,$fot(X_463))]]) ).
cnf(refute_0_4871,plain,
( complement(join(one,join(complement(X_463),X_462))) != meet(X_463,complement(join(X_462,one)))
| meet(X_463,complement(join(one,X_462))) != complement(join(one,join(complement(X_463),X_462)))
| meet(X_463,complement(join(one,X_462))) = meet(X_463,complement(join(X_462,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_463,complement(join(one,X_462))),complement(join(one,join(complement(X_463),X_462)))) ),[1],$fot(meet(X_463,complement(join(X_462,one))))]]) ).
cnf(refute_0_4872,plain,
( meet(X_463,complement(join(one,X_462))) != complement(join(one,join(complement(X_463),X_462)))
| meet(X_463,complement(join(one,X_462))) = meet(X_463,complement(join(X_462,one))) ),
inference(resolve,[$cnf( $equal(complement(join(one,join(complement(X_463),X_462))),meet(X_463,complement(join(X_462,one)))) )],[refute_0_4870,refute_0_4871]) ).
cnf(refute_0_4873,plain,
meet(X_463,complement(join(one,X_462))) = meet(X_463,complement(join(X_462,one))),
inference(resolve,[$cnf( $equal(meet(X_463,complement(join(one,X_462))),complement(join(one,join(complement(X_463),X_462)))) )],[refute_0_4867,refute_0_4872]) ).
cnf(refute_0_4874,plain,
( meet(X_463,complement(join(one,X_462))) != meet(X_463,complement(join(X_462,one)))
| meet(X_463,complement(join(X_462,one))) = meet(X_463,complement(join(one,X_462))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_463,complement(join(one,X_462))))),bind(Y,$fot(meet(X_463,complement(join(X_462,one)))))]]) ).
cnf(refute_0_4875,plain,
meet(X_463,complement(join(X_462,one))) = meet(X_463,complement(join(one,X_462))),
inference(resolve,[$cnf( $equal(meet(X_463,complement(join(one,X_462))),meet(X_463,complement(join(X_462,one)))) )],[refute_0_4873,refute_0_4874]) ).
cnf(refute_0_4876,plain,
meet(X_463,complement(join(complement(complement(X_463)),one))) = meet(X_463,complement(join(one,complement(complement(X_463))))),
inference(subst,[],[refute_0_4875:[bind(X_462,$fot(complement(complement(X_463))))]]) ).
cnf(refute_0_4877,plain,
( meet(X_463,complement(join(complement(complement(X_463)),one))) != meet(X_463,complement(join(one,complement(complement(X_463)))))
| meet(X_463,complement(join(one,complement(complement(X_463))))) != meet(X_463,complement(join(one,X_463)))
| meet(X_463,complement(join(complement(complement(X_463)),one))) = meet(X_463,complement(join(one,X_463))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(X_463,complement(join(complement(complement(X_463)),one))))),bind(Y,$fot(meet(X_463,complement(join(one,complement(complement(X_463))))))),bind(Z,$fot(meet(X_463,complement(join(one,X_463)))))]]) ).
cnf(refute_0_4878,plain,
( meet(X_463,complement(join(one,complement(complement(X_463))))) != meet(X_463,complement(join(one,X_463)))
| meet(X_463,complement(join(complement(complement(X_463)),one))) = meet(X_463,complement(join(one,X_463))) ),
inference(resolve,[$cnf( $equal(meet(X_463,complement(join(complement(complement(X_463)),one))),meet(X_463,complement(join(one,complement(complement(X_463)))))) )],[refute_0_4876,refute_0_4877]) ).
cnf(refute_0_4879,plain,
meet(X_463,complement(join(complement(complement(X_463)),one))) = meet(X_463,complement(join(one,X_463))),
inference(resolve,[$cnf( $equal(meet(X_463,complement(join(one,complement(complement(X_463))))),meet(X_463,complement(join(one,X_463)))) )],[refute_0_4860,refute_0_4878]) ).
cnf(refute_0_4880,plain,
( meet(X_463,complement(join(complement(complement(X_463)),one))) != complement(join(one,top))
| meet(X_463,complement(join(complement(complement(X_463)),one))) != meet(X_463,complement(join(one,X_463)))
| meet(X_463,complement(join(one,X_463))) = complement(join(one,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_463,complement(join(complement(complement(X_463)),one))),complement(join(one,top))) ),[0],$fot(meet(X_463,complement(join(one,X_463))))]]) ).
cnf(refute_0_4881,plain,
( meet(X_463,complement(join(complement(complement(X_463)),one))) != complement(join(one,top))
| meet(X_463,complement(join(one,X_463))) = complement(join(one,top)) ),
inference(resolve,[$cnf( $equal(meet(X_463,complement(join(complement(complement(X_463)),one))),meet(X_463,complement(join(one,X_463)))) )],[refute_0_4879,refute_0_4880]) ).
cnf(refute_0_4882,plain,
complement(join(one,top)) = complement(join(one,top)),
introduced(tautology,[refl,[$fot(complement(join(one,top)))]]) ).
cnf(refute_0_4883,plain,
( complement(join(one,top)) != complement(join(one,top))
| join(one,top) != top
| complement(join(one,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,top)),complement(join(one,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4884,plain,
( join(one,top) != top
| complement(join(one,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(one,top)),complement(join(one,top))) )],[refute_0_4882,refute_0_4883]) ).
cnf(refute_0_4885,plain,
complement(join(one,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2871,refute_0_4884]) ).
cnf(refute_0_4886,plain,
( complement(join(one,top)) != complement(top)
| complement(top) != zero
| complement(join(one,top)) = zero ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(join(one,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4887,plain,
( complement(top) != zero
| complement(join(one,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(one,top)),complement(top)) )],[refute_0_4885,refute_0_4886]) ).
cnf(refute_0_4888,plain,
complement(join(one,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_4887]) ).
cnf(refute_0_4889,plain,
( complement(join(one,top)) != zero
| meet(X_463,complement(join(one,X_463))) != complement(join(one,top))
| meet(X_463,complement(join(one,X_463))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_463,complement(join(one,X_463))),complement(join(one,top))) ),[1],$fot(zero)]]) ).
cnf(refute_0_4890,plain,
( meet(X_463,complement(join(one,X_463))) != complement(join(one,top))
| meet(X_463,complement(join(one,X_463))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(one,top)),zero) )],[refute_0_4888,refute_0_4889]) ).
cnf(refute_0_4891,plain,
( meet(X_463,complement(join(complement(complement(X_463)),one))) != complement(join(one,top))
| meet(X_463,complement(join(one,X_463))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_463,complement(join(one,X_463))),complement(join(one,top))) )],[refute_0_4881,refute_0_4890]) ).
cnf(refute_0_4892,plain,
meet(X_463,complement(join(one,X_463))) = zero,
inference(resolve,[$cnf( $equal(meet(X_463,complement(join(complement(complement(X_463)),one))),complement(join(one,top))) )],[refute_0_4655,refute_0_4891]) ).
cnf(refute_0_4893,plain,
meet(converse(X_5),complement(join(one,converse(X_5)))) = zero,
inference(subst,[],[refute_0_4892:[bind(X_463,$fot(converse(X_5)))]]) ).
cnf(refute_0_4894,plain,
( join(one,converse(X_5)) != converse(join(one,X_5))
| meet(converse(X_5),complement(join(one,converse(X_5)))) != zero
| meet(converse(X_5),complement(converse(join(one,X_5)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_5),complement(join(one,converse(X_5)))),zero) ),[0,1,0],$fot(converse(join(one,X_5)))]]) ).
cnf(refute_0_4895,plain,
( meet(converse(X_5),complement(join(one,converse(X_5)))) != zero
| meet(converse(X_5),complement(converse(join(one,X_5)))) = zero ),
inference(resolve,[$cnf( $equal(join(one,converse(X_5)),converse(join(one,X_5))) )],[refute_0_1258,refute_0_4894]) ).
cnf(refute_0_4896,plain,
meet(converse(X_5),complement(converse(join(one,X_5)))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(X_5),complement(join(one,converse(X_5)))),zero) )],[refute_0_4893,refute_0_4895]) ).
cnf(refute_0_4897,plain,
meet(converse(meet(X_42,one)),complement(converse(join(one,meet(X_42,one))))) = zero,
inference(subst,[],[refute_0_4896:[bind(X_5,$fot(meet(X_42,one)))]]) ).
cnf(refute_0_4898,plain,
complement(complement(join(one,meet(complement(X_398),join(one,X_398))))) = join(one,meet(complement(X_398),join(one,X_398))),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(join(one,meet(complement(X_398),join(one,X_398)))))]]) ).
cnf(refute_0_4899,plain,
X_41 = join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(join(complement(X_41),join(complement(X_16),meet(X_41,X_16))))),
inference(subst,[],[refute_0_169:[bind(A,$fot(X_41)),bind(B,$fot(join(complement(X_16),meet(X_41,X_16))))]]) ).
cnf(refute_0_4900,plain,
top = join(complement(X_41),join(complement(X_16),meet(X_41,X_16))),
inference(subst,[],[refute_0_572:[bind(X_15,$fot(X_41))]]) ).
cnf(refute_0_4901,plain,
( top != join(complement(X_41),join(complement(X_16),meet(X_41,X_16)))
| join(complement(X_41),join(complement(X_16),meet(X_41,X_16))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_41),join(complement(X_16),meet(X_41,X_16)))))]]) ).
cnf(refute_0_4902,plain,
join(complement(X_41),join(complement(X_16),meet(X_41,X_16))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_41),join(complement(X_16),meet(X_41,X_16)))) )],[refute_0_4900,refute_0_4901]) ).
cnf(refute_0_4903,plain,
( X_41 != join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(join(complement(X_41),join(complement(X_16),meet(X_41,X_16)))))
| join(complement(X_41),join(complement(X_16),meet(X_41,X_16))) != top
| X_41 = join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(join(complement(X_41),join(complement(X_16),meet(X_41,X_16)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_4904,plain,
( X_41 != join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(join(complement(X_41),join(complement(X_16),meet(X_41,X_16)))))
| X_41 = join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),join(complement(X_16),meet(X_41,X_16))),top) )],[refute_0_4902,refute_0_4903]) ).
cnf(refute_0_4905,plain,
X_41 = join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(join(complement(X_41),join(complement(X_16),meet(X_41,X_16)))))) )],[refute_0_4899,refute_0_4904]) ).
cnf(refute_0_4906,plain,
join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))) = join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))))]]) ).
cnf(refute_0_4907,plain,
( complement(top) != zero
| join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))) != join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16))))
| join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))) = join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))),join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4908,plain,
( complement(top) != zero
| join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))) = join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))),join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16))))) )],[refute_0_4906,refute_0_4907]) ).
cnf(refute_0_4909,plain,
join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))) = join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_4908]) ).
cnf(refute_0_4910,plain,
join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)) = join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(top))),bind(B,$fot(meet(X_41,join(complement(X_16),meet(X_41,X_16)))))]]) ).
cnf(refute_0_4911,plain,
( join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))) != join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16))))
| join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)) != join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16))))
| join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)) = join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))))),bind(Z,$fot(join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16))))))]]) ).
cnf(refute_0_4912,plain,
( join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))) != join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16))))
| join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)) = join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)),join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16))))) )],[refute_0_4910,refute_0_4911]) ).
cnf(refute_0_4913,plain,
join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)) = join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_41,join(complement(X_16),meet(X_41,X_16)))),join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16))))) )],[refute_0_4909,refute_0_4912]) ).
cnf(refute_0_4914,plain,
( X_41 != join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top))
| join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)) != join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16))))
| X_41 = join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16))))) ),[0],$fot(join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)))]]) ).
cnf(refute_0_4915,plain,
( X_41 != join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top))
| X_41 = join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top)),join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16))))) )],[refute_0_4913,refute_0_4914]) ).
cnf(refute_0_4916,plain,
X_41 = join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,join(complement(X_16),meet(X_41,X_16))),complement(top))) )],[refute_0_4905,refute_0_4915]) ).
cnf(refute_0_4917,plain,
join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))) = meet(X_41,join(complement(X_16),meet(X_41,X_16))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(X_41,join(complement(X_16),meet(X_41,X_16)))))]]) ).
cnf(refute_0_4918,plain,
( X_41 != join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16))))
| join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))) != meet(X_41,join(complement(X_16),meet(X_41,X_16)))
| X_41 = meet(X_41,join(complement(X_16),meet(X_41,X_16))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,meet(X_41,join(complement(X_16),meet(X_41,X_16)))) ),[0],$fot(join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))))]]) ).
cnf(refute_0_4919,plain,
( X_41 != join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16))))
| X_41 = meet(X_41,join(complement(X_16),meet(X_41,X_16))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16)))),meet(X_41,join(complement(X_16),meet(X_41,X_16)))) )],[refute_0_4917,refute_0_4918]) ).
cnf(refute_0_4920,plain,
X_41 = meet(X_41,join(complement(X_16),meet(X_41,X_16))),
inference(resolve,[$cnf( $equal(X_41,join(zero,meet(X_41,join(complement(X_16),meet(X_41,X_16))))) )],[refute_0_4916,refute_0_4919]) ).
cnf(refute_0_4921,plain,
X_93 = meet(X_93,join(complement(X_92),meet(X_93,X_92))),
inference(subst,[],[refute_0_4920:[bind(X_16,$fot(X_92)),bind(X_41,$fot(X_93))]]) ).
cnf(refute_0_4922,plain,
meet(X_92,X_93) = meet(X_93,X_92),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(X_92)),bind(X_16,$fot(X_93))]]) ).
cnf(refute_0_4923,plain,
( meet(X_92,X_93) != meet(X_93,X_92)
| meet(X_93,X_92) = meet(X_92,X_93) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_92,X_93))),bind(Y,$fot(meet(X_93,X_92)))]]) ).
cnf(refute_0_4924,plain,
meet(X_93,X_92) = meet(X_92,X_93),
inference(resolve,[$cnf( $equal(meet(X_92,X_93),meet(X_93,X_92)) )],[refute_0_4922,refute_0_4923]) ).
cnf(refute_0_4925,plain,
( X_93 != meet(X_93,join(complement(X_92),meet(X_93,X_92)))
| meet(X_93,X_92) != meet(X_92,X_93)
| X_93 = meet(X_93,join(complement(X_92),meet(X_92,X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,meet(X_93,join(complement(X_92),meet(X_93,X_92)))) ),[1,1,1],$fot(meet(X_92,X_93))]]) ).
cnf(refute_0_4926,plain,
( X_93 != meet(X_93,join(complement(X_92),meet(X_93,X_92)))
| X_93 = meet(X_93,join(complement(X_92),meet(X_92,X_93))) ),
inference(resolve,[$cnf( $equal(meet(X_93,X_92),meet(X_92,X_93)) )],[refute_0_4924,refute_0_4925]) ).
cnf(refute_0_4927,plain,
X_93 = meet(X_93,join(complement(X_92),meet(X_92,X_93))),
inference(resolve,[$cnf( $equal(X_93,meet(X_93,join(complement(X_92),meet(X_93,X_92)))) )],[refute_0_4921,refute_0_4926]) ).
cnf(refute_0_4928,plain,
complement(one) = meet(complement(one),join(complement(complement(X_367)),meet(complement(X_367),complement(one)))),
inference(subst,[],[refute_0_4927:[bind(X_92,$fot(complement(X_367))),bind(X_93,$fot(complement(one)))]]) ).
cnf(refute_0_4929,plain,
meet(complement(X_367),complement(one)) = complement(join(one,X_367)),
inference(subst,[],[refute_0_4849:[bind(X_25,$fot(X_367))]]) ).
cnf(refute_0_4930,plain,
( complement(one) != meet(complement(one),join(complement(complement(X_367)),meet(complement(X_367),complement(one))))
| meet(complement(X_367),complement(one)) != complement(join(one,X_367))
| complement(one) = meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(complement(X_367)),meet(complement(X_367),complement(one))))) ),[1,1,1],$fot(complement(join(one,X_367)))]]) ).
cnf(refute_0_4931,plain,
( complement(one) != meet(complement(one),join(complement(complement(X_367)),meet(complement(X_367),complement(one))))
| complement(one) = meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_367),complement(one)),complement(join(one,X_367))) )],[refute_0_4929,refute_0_4930]) ).
cnf(refute_0_4932,plain,
complement(one) = meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(complement(X_367)),meet(complement(X_367),complement(one))))) )],[refute_0_4928,refute_0_4931]) ).
cnf(refute_0_4933,plain,
meet(complement(X_25),complement(meet(X_362,X_363))) = complement(join(complement(complement(X_25)),meet(X_362,X_363))),
inference(subst,[],[refute_0_364:[bind(A,$fot(complement(X_25))),bind(X_15,$fot(X_362)),bind(X_16,$fot(X_363))]]) ).
cnf(refute_0_4934,plain,
( complement(complement(X_25)) != X_25
| meet(complement(X_25),complement(meet(X_362,X_363))) != complement(join(complement(complement(X_25)),meet(X_362,X_363)))
| meet(complement(X_25),complement(meet(X_362,X_363))) = complement(join(X_25,meet(X_362,X_363))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_25),complement(meet(X_362,X_363))),complement(join(complement(complement(X_25)),meet(X_362,X_363)))) ),[1,0,0],$fot(X_25)]]) ).
cnf(refute_0_4935,plain,
( meet(complement(X_25),complement(meet(X_362,X_363))) != complement(join(complement(complement(X_25)),meet(X_362,X_363)))
| meet(complement(X_25),complement(meet(X_362,X_363))) = complement(join(X_25,meet(X_362,X_363))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_4934]) ).
cnf(refute_0_4936,plain,
meet(complement(X_25),complement(meet(X_362,X_363))) = complement(join(X_25,meet(X_362,X_363))),
inference(resolve,[$cnf( $equal(meet(complement(X_25),complement(meet(X_362,X_363))),complement(join(complement(complement(X_25)),meet(X_362,X_363)))) )],[refute_0_4933,refute_0_4935]) ).
cnf(refute_0_4937,plain,
meet(complement(one),complement(meet(complement(X_367),join(one,X_367)))) = complement(join(one,meet(complement(X_367),join(one,X_367)))),
inference(subst,[],[refute_0_4936:[bind(X_25,$fot(one)),bind(X_362,$fot(complement(X_367))),bind(X_363,$fot(join(one,X_367)))]]) ).
cnf(refute_0_4938,plain,
join(complement(complement(X_367)),complement(join(one,X_367))) = complement(meet(complement(X_367),join(one,X_367))),
inference(subst,[],[refute_0_356:[bind(A,$fot(complement(X_367))),bind(B,$fot(join(one,X_367)))]]) ).
cnf(refute_0_4939,plain,
meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))) = meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))))]]) ).
cnf(refute_0_4940,plain,
( join(complement(complement(X_367)),complement(join(one,X_367))) != complement(meet(complement(X_367),join(one,X_367)))
| meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))) != meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367))))
| meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))) = meet(complement(one),complement(meet(complement(X_367),join(one,X_367)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))),meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367))))) ),[1,1],$fot(complement(meet(complement(X_367),join(one,X_367))))]]) ).
cnf(refute_0_4941,plain,
( join(complement(complement(X_367)),complement(join(one,X_367))) != complement(meet(complement(X_367),join(one,X_367)))
| meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))) = meet(complement(one),complement(meet(complement(X_367),join(one,X_367)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))),meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367))))) )],[refute_0_4939,refute_0_4940]) ).
cnf(refute_0_4942,plain,
meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))) = meet(complement(one),complement(meet(complement(X_367),join(one,X_367)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_367)),complement(join(one,X_367))),complement(meet(complement(X_367),join(one,X_367)))) )],[refute_0_4938,refute_0_4941]) ).
cnf(refute_0_4943,plain,
( meet(complement(one),complement(meet(complement(X_367),join(one,X_367)))) != complement(join(one,meet(complement(X_367),join(one,X_367))))
| meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))) != meet(complement(one),complement(meet(complement(X_367),join(one,X_367))))
| meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))) = complement(join(one,meet(complement(X_367),join(one,X_367)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))))),bind(Y,$fot(meet(complement(one),complement(meet(complement(X_367),join(one,X_367)))))),bind(Z,$fot(complement(join(one,meet(complement(X_367),join(one,X_367))))))]]) ).
cnf(refute_0_4944,plain,
( meet(complement(one),complement(meet(complement(X_367),join(one,X_367)))) != complement(join(one,meet(complement(X_367),join(one,X_367))))
| meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))) = complement(join(one,meet(complement(X_367),join(one,X_367)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))),meet(complement(one),complement(meet(complement(X_367),join(one,X_367))))) )],[refute_0_4942,refute_0_4943]) ).
cnf(refute_0_4945,plain,
meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))) = complement(join(one,meet(complement(X_367),join(one,X_367)))),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(meet(complement(X_367),join(one,X_367)))),complement(join(one,meet(complement(X_367),join(one,X_367))))) )],[refute_0_4937,refute_0_4944]) ).
cnf(refute_0_4946,plain,
( complement(one) != meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367))))
| meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))) != complement(join(one,meet(complement(X_367),join(one,X_367))))
| complement(one) = complement(join(one,meet(complement(X_367),join(one,X_367)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),complement(join(one,meet(complement(X_367),join(one,X_367))))) ),[0],$fot(meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))))]]) ).
cnf(refute_0_4947,plain,
( complement(one) != meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367))))
| complement(one) = complement(join(one,meet(complement(X_367),join(one,X_367)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367)))),complement(join(one,meet(complement(X_367),join(one,X_367))))) )],[refute_0_4945,refute_0_4946]) ).
cnf(refute_0_4948,plain,
complement(one) = complement(join(one,meet(complement(X_367),join(one,X_367)))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(complement(X_367)),complement(join(one,X_367))))) )],[refute_0_4932,refute_0_4947]) ).
cnf(refute_0_4949,plain,
complement(one) = complement(join(one,meet(complement(X_398),join(one,X_398)))),
inference(subst,[],[refute_0_4948:[bind(X_367,$fot(X_398))]]) ).
cnf(refute_0_4950,plain,
( complement(one) != complement(join(one,meet(complement(X_398),join(one,X_398))))
| complement(join(one,meet(complement(X_398),join(one,X_398)))) = complement(one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(one))),bind(Y,$fot(complement(join(one,meet(complement(X_398),join(one,X_398))))))]]) ).
cnf(refute_0_4951,plain,
complement(join(one,meet(complement(X_398),join(one,X_398)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),complement(join(one,meet(complement(X_398),join(one,X_398))))) )],[refute_0_4949,refute_0_4950]) ).
cnf(refute_0_4952,plain,
( complement(complement(join(one,meet(complement(X_398),join(one,X_398))))) != join(one,meet(complement(X_398),join(one,X_398)))
| complement(join(one,meet(complement(X_398),join(one,X_398)))) != complement(one)
| complement(complement(one)) = join(one,meet(complement(X_398),join(one,X_398))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(one,meet(complement(X_398),join(one,X_398))))),join(one,meet(complement(X_398),join(one,X_398)))) ),[0,0],$fot(complement(one))]]) ).
cnf(refute_0_4953,plain,
( complement(complement(join(one,meet(complement(X_398),join(one,X_398))))) != join(one,meet(complement(X_398),join(one,X_398)))
| complement(complement(one)) = join(one,meet(complement(X_398),join(one,X_398))) ),
inference(resolve,[$cnf( $equal(complement(join(one,meet(complement(X_398),join(one,X_398)))),complement(one)) )],[refute_0_4951,refute_0_4952]) ).
cnf(refute_0_4954,plain,
complement(complement(one)) = join(one,meet(complement(X_398),join(one,X_398))),
inference(resolve,[$cnf( $equal(complement(complement(join(one,meet(complement(X_398),join(one,X_398))))),join(one,meet(complement(X_398),join(one,X_398)))) )],[refute_0_4898,refute_0_4953]) ).
cnf(refute_0_4955,plain,
( complement(complement(one)) != join(one,meet(complement(X_398),join(one,X_398)))
| complement(complement(one)) != one
| one = join(one,meet(complement(X_398),join(one,X_398))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(one,meet(complement(X_398),join(one,X_398)))) ),[0],$fot(one)]]) ).
cnf(refute_0_4956,plain,
( complement(complement(one)) != join(one,meet(complement(X_398),join(one,X_398)))
| one = join(one,meet(complement(X_398),join(one,X_398))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1413,refute_0_4955]) ).
cnf(refute_0_4957,plain,
one = join(one,meet(complement(X_398),join(one,X_398))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(one,meet(complement(X_398),join(one,X_398)))) )],[refute_0_4954,refute_0_4956]) ).
cnf(refute_0_4958,plain,
one = join(one,meet(complement(complement(meet(one,X_25))),join(one,complement(meet(one,X_25))))),
inference(subst,[],[refute_0_4957:[bind(X_398,$fot(complement(meet(one,X_25))))]]) ).
cnf(refute_0_4959,plain,
join(complement(complement(one)),join(complement(complement(X_367)),meet(complement(X_367),complement(one)))) = top,
inference(subst,[],[refute_0_4691:[bind(X_19,$fot(complement(X_367))),bind(X_20,$fot(complement(one)))]]) ).
cnf(refute_0_4960,plain,
( join(complement(complement(one)),join(complement(complement(X_367)),meet(complement(X_367),complement(one)))) != top
| meet(complement(X_367),complement(one)) != complement(join(one,X_367))
| join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),join(complement(complement(X_367)),meet(complement(X_367),complement(one)))),top) ),[0,1,1],$fot(complement(join(one,X_367)))]]) ).
cnf(refute_0_4961,plain,
( join(complement(complement(one)),join(complement(complement(X_367)),meet(complement(X_367),complement(one)))) != top
| join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) = top ),
inference(resolve,[$cnf( $equal(meet(complement(X_367),complement(one)),complement(join(one,X_367))) )],[refute_0_4929,refute_0_4960]) ).
cnf(refute_0_4962,plain,
join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) = top,
inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(complement(X_367)),meet(complement(X_367),complement(one)))),top) )],[refute_0_4959,refute_0_4961]) ).
cnf(refute_0_4963,plain,
join(one,join(complement(complement(X_367)),complement(join(one,X_367)))) = join(one,join(complement(complement(X_367)),complement(join(one,X_367)))),
introduced(tautology,[refl,[$fot(join(one,join(complement(complement(X_367)),complement(join(one,X_367)))))]]) ).
cnf(refute_0_4964,plain,
( join(complement(complement(X_367)),complement(join(one,X_367))) != complement(meet(complement(X_367),join(one,X_367)))
| join(one,join(complement(complement(X_367)),complement(join(one,X_367)))) != join(one,join(complement(complement(X_367)),complement(join(one,X_367))))
| join(one,join(complement(complement(X_367)),complement(join(one,X_367)))) = join(one,complement(meet(complement(X_367),join(one,X_367)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(complement(X_367)),complement(join(one,X_367)))),join(one,join(complement(complement(X_367)),complement(join(one,X_367))))) ),[1,1],$fot(complement(meet(complement(X_367),join(one,X_367))))]]) ).
cnf(refute_0_4965,plain,
( join(complement(complement(X_367)),complement(join(one,X_367))) != complement(meet(complement(X_367),join(one,X_367)))
| join(one,join(complement(complement(X_367)),complement(join(one,X_367)))) = join(one,complement(meet(complement(X_367),join(one,X_367)))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(complement(X_367)),complement(join(one,X_367)))),join(one,join(complement(complement(X_367)),complement(join(one,X_367))))) )],[refute_0_4963,refute_0_4964]) ).
cnf(refute_0_4966,plain,
join(one,join(complement(complement(X_367)),complement(join(one,X_367)))) = join(one,complement(meet(complement(X_367),join(one,X_367)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_367)),complement(join(one,X_367))),complement(meet(complement(X_367),join(one,X_367)))) )],[refute_0_4938,refute_0_4965]) ).
cnf(refute_0_4967,plain,
join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) = join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))),
introduced(tautology,[refl,[$fot(join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))))]]) ).
cnf(refute_0_4968,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) != join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367))))
| join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) = join(one,join(complement(complement(X_367)),complement(join(one,X_367)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))),join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4969,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) = join(one,join(complement(complement(X_367)),complement(join(one,X_367)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))),join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367))))) )],[refute_0_4967,refute_0_4968]) ).
cnf(refute_0_4970,plain,
join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) = join(one,join(complement(complement(X_367)),complement(join(one,X_367)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1413,refute_0_4969]) ).
cnf(refute_0_4971,plain,
( join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) != join(one,join(complement(complement(X_367)),complement(join(one,X_367))))
| join(one,join(complement(complement(X_367)),complement(join(one,X_367)))) != join(one,complement(meet(complement(X_367),join(one,X_367))))
| join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) = join(one,complement(meet(complement(X_367),join(one,X_367)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))))),bind(Y,$fot(join(one,join(complement(complement(X_367)),complement(join(one,X_367)))))),bind(Z,$fot(join(one,complement(meet(complement(X_367),join(one,X_367))))))]]) ).
cnf(refute_0_4972,plain,
( join(one,join(complement(complement(X_367)),complement(join(one,X_367)))) != join(one,complement(meet(complement(X_367),join(one,X_367))))
| join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) = join(one,complement(meet(complement(X_367),join(one,X_367)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))),join(one,join(complement(complement(X_367)),complement(join(one,X_367))))) )],[refute_0_4970,refute_0_4971]) ).
cnf(refute_0_4973,plain,
join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) = join(one,complement(meet(complement(X_367),join(one,X_367)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(complement(X_367)),complement(join(one,X_367)))),join(one,complement(meet(complement(X_367),join(one,X_367))))) )],[refute_0_4966,refute_0_4972]) ).
cnf(refute_0_4974,plain,
( join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) != join(one,complement(meet(complement(X_367),join(one,X_367))))
| join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) != top
| join(one,complement(meet(complement(X_367),join(one,X_367)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))),top) ),[0],$fot(join(one,complement(meet(complement(X_367),join(one,X_367)))))]]) ).
cnf(refute_0_4975,plain,
( join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))) != top
| join(one,complement(meet(complement(X_367),join(one,X_367)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))),join(one,complement(meet(complement(X_367),join(one,X_367))))) )],[refute_0_4973,refute_0_4974]) ).
cnf(refute_0_4976,plain,
join(one,complement(meet(complement(X_367),join(one,X_367)))) = top,
inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(complement(X_367)),complement(join(one,X_367)))),top) )],[refute_0_4962,refute_0_4975]) ).
cnf(refute_0_4977,plain,
join(one,complement(meet(complement(join(complement(one),X_121)),join(one,join(complement(one),X_121))))) = top,
inference(subst,[],[refute_0_4976:[bind(X_367,$fot(join(complement(one),X_121)))]]) ).
cnf(refute_0_4978,plain,
join(one,join(complement(one),X_121)) = top,
inference(subst,[],[refute_0_1175:[bind(X_119,$fot(one))]]) ).
cnf(refute_0_4979,plain,
( join(one,complement(meet(complement(join(complement(one),X_121)),join(one,join(complement(one),X_121))))) != top
| join(one,join(complement(one),X_121)) != top
| join(one,complement(meet(complement(join(complement(one),X_121)),top))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(meet(complement(join(complement(one),X_121)),join(one,join(complement(one),X_121))))),top) ),[0,1,0,1],$fot(top)]]) ).
cnf(refute_0_4980,plain,
( join(one,complement(meet(complement(join(complement(one),X_121)),join(one,join(complement(one),X_121))))) != top
| join(one,complement(meet(complement(join(complement(one),X_121)),top))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),X_121)),top) )],[refute_0_4978,refute_0_4979]) ).
cnf(refute_0_4981,plain,
join(one,complement(meet(complement(join(complement(one),X_121)),top))) = top,
inference(resolve,[$cnf( $equal(join(one,complement(meet(complement(join(complement(one),X_121)),join(one,join(complement(one),X_121))))),top) )],[refute_0_4977,refute_0_4980]) ).
cnf(refute_0_4982,plain,
complement(join(complement(one),X_121)) = meet(one,complement(X_121)),
inference(subst,[],[refute_0_1846:[bind(X_361,$fot(one)),bind(X_363,$fot(X_121))]]) ).
cnf(refute_0_4983,plain,
meet(complement(join(complement(one),X_121)),top) = complement(join(complement(one),X_121)),
inference(subst,[],[refute_0_834:[bind(X_41,$fot(complement(join(complement(one),X_121))))]]) ).
cnf(refute_0_4984,plain,
( complement(join(complement(one),X_121)) != meet(one,complement(X_121))
| meet(complement(join(complement(one),X_121)),top) != complement(join(complement(one),X_121))
| meet(complement(join(complement(one),X_121)),top) = meet(one,complement(X_121)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(join(complement(one),X_121)),top))),bind(Y,$fot(complement(join(complement(one),X_121)))),bind(Z,$fot(meet(one,complement(X_121))))]]) ).
cnf(refute_0_4985,plain,
( complement(join(complement(one),X_121)) != meet(one,complement(X_121))
| meet(complement(join(complement(one),X_121)),top) = meet(one,complement(X_121)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(one),X_121)),top),complement(join(complement(one),X_121))) )],[refute_0_4983,refute_0_4984]) ).
cnf(refute_0_4986,plain,
meet(complement(join(complement(one),X_121)),top) = meet(one,complement(X_121)),
inference(resolve,[$cnf( $equal(complement(join(complement(one),X_121)),meet(one,complement(X_121))) )],[refute_0_4982,refute_0_4985]) ).
cnf(refute_0_4987,plain,
complement(meet(complement(join(complement(one),X_121)),top)) = complement(meet(complement(join(complement(one),X_121)),top)),
introduced(tautology,[refl,[$fot(complement(meet(complement(join(complement(one),X_121)),top)))]]) ).
cnf(refute_0_4988,plain,
( complement(meet(complement(join(complement(one),X_121)),top)) != complement(meet(complement(join(complement(one),X_121)),top))
| meet(complement(join(complement(one),X_121)),top) != meet(one,complement(X_121))
| complement(meet(complement(join(complement(one),X_121)),top)) = complement(meet(one,complement(X_121))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(join(complement(one),X_121)),top)),complement(meet(complement(join(complement(one),X_121)),top))) ),[1,0],$fot(meet(one,complement(X_121)))]]) ).
cnf(refute_0_4989,plain,
( meet(complement(join(complement(one),X_121)),top) != meet(one,complement(X_121))
| complement(meet(complement(join(complement(one),X_121)),top)) = complement(meet(one,complement(X_121))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(join(complement(one),X_121)),top)),complement(meet(complement(join(complement(one),X_121)),top))) )],[refute_0_4987,refute_0_4988]) ).
cnf(refute_0_4990,plain,
complement(meet(complement(join(complement(one),X_121)),top)) = complement(meet(one,complement(X_121))),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(one),X_121)),top),meet(one,complement(X_121))) )],[refute_0_4986,refute_0_4989]) ).
cnf(refute_0_4991,plain,
join(one,complement(meet(complement(join(complement(one),X_121)),top))) = join(one,complement(meet(complement(join(complement(one),X_121)),top))),
introduced(tautology,[refl,[$fot(join(one,complement(meet(complement(join(complement(one),X_121)),top))))]]) ).
cnf(refute_0_4992,plain,
( complement(meet(complement(join(complement(one),X_121)),top)) != complement(meet(one,complement(X_121)))
| join(one,complement(meet(complement(join(complement(one),X_121)),top))) != join(one,complement(meet(complement(join(complement(one),X_121)),top)))
| join(one,complement(meet(complement(join(complement(one),X_121)),top))) = join(one,complement(meet(one,complement(X_121)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(meet(complement(join(complement(one),X_121)),top))),join(one,complement(meet(complement(join(complement(one),X_121)),top)))) ),[1,1],$fot(complement(meet(one,complement(X_121))))]]) ).
cnf(refute_0_4993,plain,
( complement(meet(complement(join(complement(one),X_121)),top)) != complement(meet(one,complement(X_121)))
| join(one,complement(meet(complement(join(complement(one),X_121)),top))) = join(one,complement(meet(one,complement(X_121)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(complement(join(complement(one),X_121)),top))),join(one,complement(meet(complement(join(complement(one),X_121)),top)))) )],[refute_0_4991,refute_0_4992]) ).
cnf(refute_0_4994,plain,
join(one,complement(meet(complement(join(complement(one),X_121)),top))) = join(one,complement(meet(one,complement(X_121)))),
inference(resolve,[$cnf( $equal(complement(meet(complement(join(complement(one),X_121)),top)),complement(meet(one,complement(X_121)))) )],[refute_0_4990,refute_0_4993]) ).
cnf(refute_0_4995,plain,
( join(one,complement(meet(complement(join(complement(one),X_121)),top))) != join(one,complement(meet(one,complement(X_121))))
| join(one,complement(meet(complement(join(complement(one),X_121)),top))) != top
| join(one,complement(meet(one,complement(X_121)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(meet(complement(join(complement(one),X_121)),top))),top) ),[0],$fot(join(one,complement(meet(one,complement(X_121)))))]]) ).
cnf(refute_0_4996,plain,
( join(one,complement(meet(complement(join(complement(one),X_121)),top))) != top
| join(one,complement(meet(one,complement(X_121)))) = top ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(complement(join(complement(one),X_121)),top))),join(one,complement(meet(one,complement(X_121))))) )],[refute_0_4994,refute_0_4995]) ).
cnf(refute_0_4997,plain,
join(one,complement(meet(one,complement(X_121)))) = top,
inference(resolve,[$cnf( $equal(join(one,complement(meet(complement(join(complement(one),X_121)),top))),top) )],[refute_0_4981,refute_0_4996]) ).
cnf(refute_0_4998,plain,
join(one,complement(meet(one,complement(complement(X_25))))) = top,
inference(subst,[],[refute_0_4997:[bind(X_121,$fot(complement(X_25)))]]) ).
cnf(refute_0_4999,plain,
( complement(complement(X_25)) != X_25
| join(one,complement(meet(one,complement(complement(X_25))))) != top
| join(one,complement(meet(one,X_25))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(meet(one,complement(complement(X_25))))),top) ),[0,1,0,1],$fot(X_25)]]) ).
cnf(refute_0_5000,plain,
( join(one,complement(meet(one,complement(complement(X_25))))) != top
| join(one,complement(meet(one,X_25))) = top ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_4999]) ).
cnf(refute_0_5001,plain,
join(one,complement(meet(one,X_25))) = top,
inference(resolve,[$cnf( $equal(join(one,complement(meet(one,complement(complement(X_25))))),top) )],[refute_0_4998,refute_0_5000]) ).
cnf(refute_0_5002,plain,
( join(one,complement(meet(one,X_25))) != top
| one != join(one,meet(complement(complement(meet(one,X_25))),join(one,complement(meet(one,X_25)))))
| one = join(one,meet(complement(complement(meet(one,X_25))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,meet(complement(complement(meet(one,X_25))),join(one,complement(meet(one,X_25)))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_5003,plain,
( one != join(one,meet(complement(complement(meet(one,X_25))),join(one,complement(meet(one,X_25)))))
| one = join(one,meet(complement(complement(meet(one,X_25))),top)) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(one,X_25))),top) )],[refute_0_5001,refute_0_5002]) ).
cnf(refute_0_5004,plain,
one = join(one,meet(complement(complement(meet(one,X_25))),top)),
inference(resolve,[$cnf( $equal(one,join(one,meet(complement(complement(meet(one,X_25))),join(one,complement(meet(one,X_25)))))) )],[refute_0_4958,refute_0_5003]) ).
cnf(refute_0_5005,plain,
complement(complement(meet(one,X_25))) = meet(one,X_25),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(meet(one,X_25)))]]) ).
cnf(refute_0_5006,plain,
meet(complement(complement(meet(one,X_25))),top) = complement(complement(meet(one,X_25))),
inference(subst,[],[refute_0_834:[bind(X_41,$fot(complement(complement(meet(one,X_25)))))]]) ).
cnf(refute_0_5007,plain,
( complement(complement(meet(one,X_25))) != meet(one,X_25)
| meet(complement(complement(meet(one,X_25))),top) != complement(complement(meet(one,X_25)))
| meet(complement(complement(meet(one,X_25))),top) = meet(one,X_25) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(complement(meet(one,X_25))),top))),bind(Y,$fot(complement(complement(meet(one,X_25))))),bind(Z,$fot(meet(one,X_25)))]]) ).
cnf(refute_0_5008,plain,
( complement(complement(meet(one,X_25))) != meet(one,X_25)
| meet(complement(complement(meet(one,X_25))),top) = meet(one,X_25) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(meet(one,X_25))),top),complement(complement(meet(one,X_25)))) )],[refute_0_5006,refute_0_5007]) ).
cnf(refute_0_5009,plain,
meet(complement(complement(meet(one,X_25))),top) = meet(one,X_25),
inference(resolve,[$cnf( $equal(complement(complement(meet(one,X_25))),meet(one,X_25)) )],[refute_0_5005,refute_0_5008]) ).
cnf(refute_0_5010,plain,
join(one,meet(complement(complement(meet(one,X_25))),top)) = join(one,meet(complement(complement(meet(one,X_25))),top)),
introduced(tautology,[refl,[$fot(join(one,meet(complement(complement(meet(one,X_25))),top)))]]) ).
cnf(refute_0_5011,plain,
( join(one,meet(complement(complement(meet(one,X_25))),top)) != join(one,meet(complement(complement(meet(one,X_25))),top))
| meet(complement(complement(meet(one,X_25))),top) != meet(one,X_25)
| join(one,meet(complement(complement(meet(one,X_25))),top)) = join(one,meet(one,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(complement(meet(one,X_25))),top)),join(one,meet(complement(complement(meet(one,X_25))),top))) ),[1,1],$fot(meet(one,X_25))]]) ).
cnf(refute_0_5012,plain,
( meet(complement(complement(meet(one,X_25))),top) != meet(one,X_25)
| join(one,meet(complement(complement(meet(one,X_25))),top)) = join(one,meet(one,X_25)) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(complement(meet(one,X_25))),top)),join(one,meet(complement(complement(meet(one,X_25))),top))) )],[refute_0_5010,refute_0_5011]) ).
cnf(refute_0_5013,plain,
join(one,meet(complement(complement(meet(one,X_25))),top)) = join(one,meet(one,X_25)),
inference(resolve,[$cnf( $equal(meet(complement(complement(meet(one,X_25))),top),meet(one,X_25)) )],[refute_0_5009,refute_0_5012]) ).
cnf(refute_0_5014,plain,
( join(one,meet(complement(complement(meet(one,X_25))),top)) != join(one,meet(one,X_25))
| one != join(one,meet(complement(complement(meet(one,X_25))),top))
| one = join(one,meet(one,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,meet(complement(complement(meet(one,X_25))),top))) ),[1],$fot(join(one,meet(one,X_25)))]]) ).
cnf(refute_0_5015,plain,
( one != join(one,meet(complement(complement(meet(one,X_25))),top))
| one = join(one,meet(one,X_25)) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(complement(meet(one,X_25))),top)),join(one,meet(one,X_25))) )],[refute_0_5013,refute_0_5014]) ).
cnf(refute_0_5016,plain,
one = join(one,meet(one,X_25)),
inference(resolve,[$cnf( $equal(one,join(one,meet(complement(complement(meet(one,X_25))),top))) )],[refute_0_5004,refute_0_5015]) ).
cnf(refute_0_5017,plain,
one = join(one,meet(one,meet(X_42,one))),
inference(subst,[],[refute_0_5016:[bind(X_25,$fot(meet(X_42,one)))]]) ).
cnf(refute_0_5018,plain,
meet(X_42,one) = meet(one,meet(X_42,one)),
inference(subst,[],[refute_0_1915:[bind(X_41,$fot(one))]]) ).
cnf(refute_0_5019,plain,
( meet(X_42,one) != meet(one,meet(X_42,one))
| meet(one,meet(X_42,one)) = meet(X_42,one) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_42,one))),bind(Y,$fot(meet(one,meet(X_42,one))))]]) ).
cnf(refute_0_5020,plain,
meet(one,meet(X_42,one)) = meet(X_42,one),
inference(resolve,[$cnf( $equal(meet(X_42,one),meet(one,meet(X_42,one))) )],[refute_0_5018,refute_0_5019]) ).
cnf(refute_0_5021,plain,
( meet(one,meet(X_42,one)) != meet(X_42,one)
| one != join(one,meet(one,meet(X_42,one)))
| one = join(one,meet(X_42,one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,meet(one,meet(X_42,one)))) ),[1,1],$fot(meet(X_42,one))]]) ).
cnf(refute_0_5022,plain,
( one != join(one,meet(one,meet(X_42,one)))
| one = join(one,meet(X_42,one)) ),
inference(resolve,[$cnf( $equal(meet(one,meet(X_42,one)),meet(X_42,one)) )],[refute_0_5020,refute_0_5021]) ).
cnf(refute_0_5023,plain,
one = join(one,meet(X_42,one)),
inference(resolve,[$cnf( $equal(one,join(one,meet(one,meet(X_42,one)))) )],[refute_0_5017,refute_0_5022]) ).
cnf(refute_0_5024,plain,
( one != join(one,meet(X_42,one))
| join(one,meet(X_42,one)) = one ),
inference(subst,[],[refute_0_2:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(X_42,one))))]]) ).
cnf(refute_0_5025,plain,
join(one,meet(X_42,one)) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(X_42,one))) )],[refute_0_5023,refute_0_5024]) ).
cnf(refute_0_5026,plain,
( join(one,meet(X_42,one)) != one
| meet(converse(meet(X_42,one)),complement(converse(join(one,meet(X_42,one))))) != zero
| meet(converse(meet(X_42,one)),complement(converse(one))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(meet(X_42,one)),complement(converse(join(one,meet(X_42,one))))),zero) ),[0,1,0,0],$fot(one)]]) ).
cnf(refute_0_5027,plain,
( meet(converse(meet(X_42,one)),complement(converse(join(one,meet(X_42,one))))) != zero
| meet(converse(meet(X_42,one)),complement(converse(one))) = zero ),
inference(resolve,[$cnf( $equal(join(one,meet(X_42,one)),one) )],[refute_0_5025,refute_0_5026]) ).
cnf(refute_0_5028,plain,
meet(converse(meet(X_42,one)),complement(converse(one))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(meet(X_42,one)),complement(converse(join(one,meet(X_42,one))))),zero) )],[refute_0_4897,refute_0_5027]) ).
cnf(refute_0_5029,plain,
complement(converse(one)) = complement(converse(one)),
introduced(tautology,[refl,[$fot(complement(converse(one)))]]) ).
cnf(refute_0_5030,plain,
( complement(converse(one)) != complement(converse(one))
| converse(one) != one
| complement(converse(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(one)),complement(converse(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5031,plain,
( converse(one) != one
| complement(converse(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(converse(one))) )],[refute_0_5029,refute_0_5030]) ).
cnf(refute_0_5032,plain,
complement(converse(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_38,refute_0_5031]) ).
cnf(refute_0_5033,plain,
meet(complement(converse(one)),converse(meet(X_42,one))) = meet(complement(converse(one)),converse(meet(X_42,one))),
introduced(tautology,[refl,[$fot(meet(complement(converse(one)),converse(meet(X_42,one))))]]) ).
cnf(refute_0_5034,plain,
( complement(converse(one)) != complement(one)
| meet(complement(converse(one)),converse(meet(X_42,one))) != meet(complement(converse(one)),converse(meet(X_42,one)))
| meet(complement(converse(one)),converse(meet(X_42,one))) = meet(complement(one),converse(meet(X_42,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(one)),converse(meet(X_42,one))),meet(complement(converse(one)),converse(meet(X_42,one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_5035,plain,
( complement(converse(one)) != complement(one)
| meet(complement(converse(one)),converse(meet(X_42,one))) = meet(complement(one),converse(meet(X_42,one))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(one)),converse(meet(X_42,one))),meet(complement(converse(one)),converse(meet(X_42,one)))) )],[refute_0_5033,refute_0_5034]) ).
cnf(refute_0_5036,plain,
meet(complement(converse(one)),converse(meet(X_42,one))) = meet(complement(one),converse(meet(X_42,one))),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(one)) )],[refute_0_5032,refute_0_5035]) ).
cnf(refute_0_5037,plain,
meet(converse(meet(X_42,one)),complement(converse(one))) = meet(complement(converse(one)),converse(meet(X_42,one))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(complement(converse(one)))),bind(X_16,$fot(converse(meet(X_42,one))))]]) ).
cnf(refute_0_5038,plain,
( meet(complement(converse(one)),converse(meet(X_42,one))) != meet(complement(one),converse(meet(X_42,one)))
| meet(converse(meet(X_42,one)),complement(converse(one))) != meet(complement(converse(one)),converse(meet(X_42,one)))
| meet(converse(meet(X_42,one)),complement(converse(one))) = meet(complement(one),converse(meet(X_42,one))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(converse(meet(X_42,one)),complement(converse(one))))),bind(Y,$fot(meet(complement(converse(one)),converse(meet(X_42,one))))),bind(Z,$fot(meet(complement(one),converse(meet(X_42,one)))))]]) ).
cnf(refute_0_5039,plain,
( meet(complement(converse(one)),converse(meet(X_42,one))) != meet(complement(one),converse(meet(X_42,one)))
| meet(converse(meet(X_42,one)),complement(converse(one))) = meet(complement(one),converse(meet(X_42,one))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(X_42,one)),complement(converse(one))),meet(complement(converse(one)),converse(meet(X_42,one)))) )],[refute_0_5037,refute_0_5038]) ).
cnf(refute_0_5040,plain,
meet(converse(meet(X_42,one)),complement(converse(one))) = meet(complement(one),converse(meet(X_42,one))),
inference(resolve,[$cnf( $equal(meet(complement(converse(one)),converse(meet(X_42,one))),meet(complement(one),converse(meet(X_42,one)))) )],[refute_0_5036,refute_0_5039]) ).
cnf(refute_0_5041,plain,
( meet(converse(meet(X_42,one)),complement(converse(one))) != meet(complement(one),converse(meet(X_42,one)))
| meet(converse(meet(X_42,one)),complement(converse(one))) != zero
| meet(complement(one),converse(meet(X_42,one))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(meet(X_42,one)),complement(converse(one))),zero) ),[0],$fot(meet(complement(one),converse(meet(X_42,one))))]]) ).
cnf(refute_0_5042,plain,
( meet(converse(meet(X_42,one)),complement(converse(one))) != zero
| meet(complement(one),converse(meet(X_42,one))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(meet(X_42,one)),complement(converse(one))),meet(complement(one),converse(meet(X_42,one)))) )],[refute_0_5040,refute_0_5041]) ).
cnf(refute_0_5043,plain,
meet(complement(one),converse(meet(X_42,one))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(meet(X_42,one)),complement(converse(one))),zero) )],[refute_0_5028,refute_0_5042]) ).
cnf(refute_0_5044,plain,
meet(complement(one),converse(meet(X_549,one))) = zero,
inference(subst,[],[refute_0_5043:[bind(X_42,$fot(X_549))]]) ).
cnf(refute_0_5045,plain,
( converse(meet(X_549,one)) != join(meet(complement(one),converse(meet(X_549,one))),complement(join(complement(one),complement(converse(meet(X_549,one))))))
| meet(complement(one),converse(meet(X_549,one))) != zero
| converse(meet(X_549,one)) = join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(X_549,one)),join(meet(complement(one),converse(meet(X_549,one))),complement(join(complement(one),complement(converse(meet(X_549,one))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5046,plain,
( converse(meet(X_549,one)) != join(meet(complement(one),converse(meet(X_549,one))),complement(join(complement(one),complement(converse(meet(X_549,one))))))
| converse(meet(X_549,one)) = join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(meet(X_549,one))),zero) )],[refute_0_5044,refute_0_5045]) ).
cnf(refute_0_5047,plain,
converse(meet(X_549,one)) = join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))),
inference(resolve,[$cnf( $equal(converse(meet(X_549,one)),join(meet(complement(one),converse(meet(X_549,one))),complement(join(complement(one),complement(converse(meet(X_549,one))))))) )],[refute_0_4607,refute_0_5046]) ).
cnf(refute_0_5048,plain,
complement(complement(converse(meet(X_549,one)))) = converse(meet(X_549,one)),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(converse(meet(X_549,one))))]]) ).
cnf(refute_0_5049,plain,
meet(one,complement(complement(converse(meet(X_549,one))))) = meet(one,complement(complement(converse(meet(X_549,one))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(converse(meet(X_549,one))))))]]) ).
cnf(refute_0_5050,plain,
( complement(complement(converse(meet(X_549,one)))) != converse(meet(X_549,one))
| meet(one,complement(complement(converse(meet(X_549,one))))) != meet(one,complement(complement(converse(meet(X_549,one)))))
| meet(one,complement(complement(converse(meet(X_549,one))))) = meet(one,converse(meet(X_549,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(converse(meet(X_549,one))))),meet(one,complement(complement(converse(meet(X_549,one)))))) ),[1,1],$fot(converse(meet(X_549,one)))]]) ).
cnf(refute_0_5051,plain,
( complement(complement(converse(meet(X_549,one)))) != converse(meet(X_549,one))
| meet(one,complement(complement(converse(meet(X_549,one))))) = meet(one,converse(meet(X_549,one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(meet(X_549,one))))),meet(one,complement(complement(converse(meet(X_549,one)))))) )],[refute_0_5049,refute_0_5050]) ).
cnf(refute_0_5052,plain,
meet(one,complement(complement(converse(meet(X_549,one))))) = meet(one,converse(meet(X_549,one))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(X_549,one)))),converse(meet(X_549,one))) )],[refute_0_5048,refute_0_5051]) ).
cnf(refute_0_5053,plain,
complement(join(complement(one),complement(converse(meet(X_549,one))))) = meet(one,complement(complement(converse(meet(X_549,one))))),
inference(subst,[],[refute_0_1846:[bind(X_361,$fot(one)),bind(X_363,$fot(complement(converse(meet(X_549,one)))))]]) ).
cnf(refute_0_5054,plain,
join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))) = complement(join(complement(one),complement(converse(meet(X_549,one))))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(complement(join(complement(one),complement(converse(meet(X_549,one)))))))]]) ).
cnf(refute_0_5055,plain,
( complement(join(complement(one),complement(converse(meet(X_549,one))))) != meet(one,complement(complement(converse(meet(X_549,one)))))
| join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))) != complement(join(complement(one),complement(converse(meet(X_549,one)))))
| join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))) = meet(one,complement(complement(converse(meet(X_549,one))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))))),bind(Y,$fot(complement(join(complement(one),complement(converse(meet(X_549,one))))))),bind(Z,$fot(meet(one,complement(complement(converse(meet(X_549,one)))))))]]) ).
cnf(refute_0_5056,plain,
( complement(join(complement(one),complement(converse(meet(X_549,one))))) != meet(one,complement(complement(converse(meet(X_549,one)))))
| join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))) = meet(one,complement(complement(converse(meet(X_549,one))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))),complement(join(complement(one),complement(converse(meet(X_549,one)))))) )],[refute_0_5054,refute_0_5055]) ).
cnf(refute_0_5057,plain,
join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))) = meet(one,complement(complement(converse(meet(X_549,one))))),
inference(resolve,[$cnf( $equal(complement(join(complement(one),complement(converse(meet(X_549,one))))),meet(one,complement(complement(converse(meet(X_549,one)))))) )],[refute_0_5053,refute_0_5056]) ).
cnf(refute_0_5058,plain,
( join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))) != meet(one,complement(complement(converse(meet(X_549,one)))))
| meet(one,complement(complement(converse(meet(X_549,one))))) != meet(one,converse(meet(X_549,one)))
| join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))) = meet(one,converse(meet(X_549,one))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))))),bind(Y,$fot(meet(one,complement(complement(converse(meet(X_549,one))))))),bind(Z,$fot(meet(one,converse(meet(X_549,one)))))]]) ).
cnf(refute_0_5059,plain,
( meet(one,complement(complement(converse(meet(X_549,one))))) != meet(one,converse(meet(X_549,one)))
| join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))) = meet(one,converse(meet(X_549,one))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))),meet(one,complement(complement(converse(meet(X_549,one)))))) )],[refute_0_5057,refute_0_5058]) ).
cnf(refute_0_5060,plain,
join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))) = meet(one,converse(meet(X_549,one))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(meet(X_549,one))))),meet(one,converse(meet(X_549,one)))) )],[refute_0_5052,refute_0_5059]) ).
cnf(refute_0_5061,plain,
( converse(meet(X_549,one)) != join(zero,complement(join(complement(one),complement(converse(meet(X_549,one))))))
| join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))) != meet(one,converse(meet(X_549,one)))
| converse(meet(X_549,one)) = meet(one,converse(meet(X_549,one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(X_549,one)),meet(one,converse(meet(X_549,one)))) ),[0],$fot(join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))))]]) ).
cnf(refute_0_5062,plain,
( converse(meet(X_549,one)) != join(zero,complement(join(complement(one),complement(converse(meet(X_549,one))))))
| converse(meet(X_549,one)) = meet(one,converse(meet(X_549,one))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(one),complement(converse(meet(X_549,one)))))),meet(one,converse(meet(X_549,one)))) )],[refute_0_5060,refute_0_5061]) ).
cnf(refute_0_5063,plain,
converse(meet(X_549,one)) = meet(one,converse(meet(X_549,one))),
inference(resolve,[$cnf( $equal(converse(meet(X_549,one)),join(zero,complement(join(complement(one),complement(converse(meet(X_549,one))))))) )],[refute_0_5047,refute_0_5062]) ).
cnf(refute_0_5064,plain,
converse(meet(X_874,one)) = meet(one,converse(meet(X_874,one))),
inference(subst,[],[refute_0_5063:[bind(X_549,$fot(X_874))]]) ).
cnf(refute_0_5065,plain,
( converse(meet(X_874,one)) != meet(one,converse(meet(X_874,one)))
| meet(one,converse(meet(X_874,one))) = converse(meet(X_874,one)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(meet(X_874,one)))),bind(Y,$fot(meet(one,converse(meet(X_874,one)))))]]) ).
cnf(refute_0_5066,plain,
meet(one,converse(meet(X_874,one))) = converse(meet(X_874,one)),
inference(resolve,[$cnf( $equal(converse(meet(X_874,one)),meet(one,converse(meet(X_874,one)))) )],[refute_0_5064,refute_0_5065]) ).
cnf(refute_0_5067,plain,
( meet(one,converse(meet(X_874,one))) != converse(meet(X_874,one))
| top != join(one,composition(complement(meet(one,converse(meet(X_874,one)))),top))
| top = join(one,composition(complement(converse(meet(X_874,one))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,composition(complement(meet(one,converse(meet(X_874,one)))),top))) ),[1,1,0,0],$fot(converse(meet(X_874,one)))]]) ).
cnf(refute_0_5068,plain,
( top != join(one,composition(complement(meet(one,converse(meet(X_874,one)))),top))
| top = join(one,composition(complement(converse(meet(X_874,one))),top)) ),
inference(resolve,[$cnf( $equal(meet(one,converse(meet(X_874,one))),converse(meet(X_874,one))) )],[refute_0_5066,refute_0_5067]) ).
cnf(refute_0_5069,plain,
top = join(one,composition(complement(converse(meet(X_874,one))),top)),
inference(resolve,[$cnf( $equal(top,join(one,composition(complement(meet(one,converse(meet(X_874,one)))),top))) )],[refute_0_4600,refute_0_5068]) ).
cnf(refute_0_5070,plain,
join(one,converse(composition(top,complement(meet(X_874,one))))) = converse(join(one,composition(top,complement(meet(X_874,one))))),
inference(subst,[],[refute_0_1258:[bind(X_5,$fot(composition(top,complement(meet(X_874,one)))))]]) ).
cnf(refute_0_5071,plain,
composition(complement(converse(meet(X_874,one))),top) = converse(composition(top,complement(meet(X_874,one)))),
inference(subst,[],[refute_0_3187:[bind(X_324,$fot(meet(X_874,one)))]]) ).
cnf(refute_0_5072,plain,
join(one,composition(complement(converse(meet(X_874,one))),top)) = join(one,composition(complement(converse(meet(X_874,one))),top)),
introduced(tautology,[refl,[$fot(join(one,composition(complement(converse(meet(X_874,one))),top)))]]) ).
cnf(refute_0_5073,plain,
( composition(complement(converse(meet(X_874,one))),top) != converse(composition(top,complement(meet(X_874,one))))
| join(one,composition(complement(converse(meet(X_874,one))),top)) != join(one,composition(complement(converse(meet(X_874,one))),top))
| join(one,composition(complement(converse(meet(X_874,one))),top)) = join(one,converse(composition(top,complement(meet(X_874,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(complement(converse(meet(X_874,one))),top)),join(one,composition(complement(converse(meet(X_874,one))),top))) ),[1,1],$fot(converse(composition(top,complement(meet(X_874,one)))))]]) ).
cnf(refute_0_5074,plain,
( composition(complement(converse(meet(X_874,one))),top) != converse(composition(top,complement(meet(X_874,one))))
| join(one,composition(complement(converse(meet(X_874,one))),top)) = join(one,converse(composition(top,complement(meet(X_874,one))))) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(converse(meet(X_874,one))),top)),join(one,composition(complement(converse(meet(X_874,one))),top))) )],[refute_0_5072,refute_0_5073]) ).
cnf(refute_0_5075,plain,
join(one,composition(complement(converse(meet(X_874,one))),top)) = join(one,converse(composition(top,complement(meet(X_874,one))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(meet(X_874,one))),top),converse(composition(top,complement(meet(X_874,one))))) )],[refute_0_5071,refute_0_5074]) ).
cnf(refute_0_5076,plain,
( join(one,composition(complement(converse(meet(X_874,one))),top)) != join(one,converse(composition(top,complement(meet(X_874,one)))))
| join(one,converse(composition(top,complement(meet(X_874,one))))) != converse(join(one,composition(top,complement(meet(X_874,one)))))
| join(one,composition(complement(converse(meet(X_874,one))),top)) = converse(join(one,composition(top,complement(meet(X_874,one))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(one,composition(complement(converse(meet(X_874,one))),top)))),bind(Y,$fot(join(one,converse(composition(top,complement(meet(X_874,one))))))),bind(Z,$fot(converse(join(one,composition(top,complement(meet(X_874,one)))))))]]) ).
cnf(refute_0_5077,plain,
( join(one,converse(composition(top,complement(meet(X_874,one))))) != converse(join(one,composition(top,complement(meet(X_874,one)))))
| join(one,composition(complement(converse(meet(X_874,one))),top)) = converse(join(one,composition(top,complement(meet(X_874,one))))) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(converse(meet(X_874,one))),top)),join(one,converse(composition(top,complement(meet(X_874,one)))))) )],[refute_0_5075,refute_0_5076]) ).
cnf(refute_0_5078,plain,
join(one,composition(complement(converse(meet(X_874,one))),top)) = converse(join(one,composition(top,complement(meet(X_874,one))))),
inference(resolve,[$cnf( $equal(join(one,converse(composition(top,complement(meet(X_874,one))))),converse(join(one,composition(top,complement(meet(X_874,one)))))) )],[refute_0_5070,refute_0_5077]) ).
cnf(refute_0_5079,plain,
( join(one,composition(complement(converse(meet(X_874,one))),top)) != converse(join(one,composition(top,complement(meet(X_874,one)))))
| top != join(one,composition(complement(converse(meet(X_874,one))),top))
| top = converse(join(one,composition(top,complement(meet(X_874,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,composition(complement(converse(meet(X_874,one))),top))) ),[1],$fot(converse(join(one,composition(top,complement(meet(X_874,one))))))]]) ).
cnf(refute_0_5080,plain,
( top != join(one,composition(complement(converse(meet(X_874,one))),top))
| top = converse(join(one,composition(top,complement(meet(X_874,one))))) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(converse(meet(X_874,one))),top)),converse(join(one,composition(top,complement(meet(X_874,one)))))) )],[refute_0_5078,refute_0_5079]) ).
cnf(refute_0_5081,plain,
top = converse(join(one,composition(top,complement(meet(X_874,one))))),
inference(resolve,[$cnf( $equal(top,join(one,composition(complement(converse(meet(X_874,one))),top))) )],[refute_0_5069,refute_0_5080]) ).
cnf(refute_0_5082,plain,
top = converse(join(one,composition(top,complement(meet(X_875,one))))),
inference(subst,[],[refute_0_5081:[bind(X_874,$fot(X_875))]]) ).
cnf(refute_0_5083,plain,
( top != converse(join(one,composition(top,complement(meet(X_875,one)))))
| converse(join(one,composition(top,complement(meet(X_875,one))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,composition(top,complement(meet(X_875,one)))))))]]) ).
cnf(refute_0_5084,plain,
converse(join(one,composition(top,complement(meet(X_875,one))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,composition(top,complement(meet(X_875,one)))))) )],[refute_0_5082,refute_0_5083]) ).
cnf(refute_0_5085,plain,
( converse(converse(join(one,composition(top,complement(meet(X_875,one)))))) != join(one,composition(top,complement(meet(X_875,one))))
| converse(join(one,composition(top,complement(meet(X_875,one))))) != top
| converse(top) = join(one,composition(top,complement(meet(X_875,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,composition(top,complement(meet(X_875,one)))))),join(one,composition(top,complement(meet(X_875,one))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_5086,plain,
( converse(converse(join(one,composition(top,complement(meet(X_875,one)))))) != join(one,composition(top,complement(meet(X_875,one))))
| converse(top) = join(one,composition(top,complement(meet(X_875,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(top,complement(meet(X_875,one))))),top) )],[refute_0_5084,refute_0_5085]) ).
cnf(refute_0_5087,plain,
converse(top) = join(one,composition(top,complement(meet(X_875,one)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,composition(top,complement(meet(X_875,one)))))),join(one,composition(top,complement(meet(X_875,one))))) )],[refute_0_3825,refute_0_5086]) ).
cnf(refute_0_5088,plain,
( converse(top) != join(one,composition(top,complement(meet(X_875,one))))
| converse(top) != top
| top = join(one,composition(top,complement(meet(X_875,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,composition(top,complement(meet(X_875,one))))) ),[0],$fot(top)]]) ).
cnf(refute_0_5089,plain,
( converse(top) != join(one,composition(top,complement(meet(X_875,one))))
| top = join(one,composition(top,complement(meet(X_875,one)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_5088]) ).
cnf(refute_0_5090,plain,
top = join(one,composition(top,complement(meet(X_875,one)))),
inference(resolve,[$cnf( $equal(converse(top),join(one,composition(top,complement(meet(X_875,one))))) )],[refute_0_5087,refute_0_5089]) ).
cnf(refute_0_5091,plain,
top = join(one,composition(top,complement(meet(X_918,one)))),
inference(subst,[],[refute_0_5090:[bind(X_875,$fot(X_918))]]) ).
cnf(refute_0_5092,plain,
meet(one,X_918) = meet(X_918,one),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(one)),bind(X_16,$fot(X_918))]]) ).
cnf(refute_0_5093,plain,
( meet(one,X_918) != meet(X_918,one)
| meet(X_918,one) = meet(one,X_918) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(one,X_918))),bind(Y,$fot(meet(X_918,one)))]]) ).
cnf(refute_0_5094,plain,
meet(X_918,one) = meet(one,X_918),
inference(resolve,[$cnf( $equal(meet(one,X_918),meet(X_918,one)) )],[refute_0_5092,refute_0_5093]) ).
cnf(refute_0_5095,plain,
( meet(X_918,one) != meet(one,X_918)
| top != join(one,composition(top,complement(meet(X_918,one))))
| top = join(one,composition(top,complement(meet(one,X_918)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,composition(top,complement(meet(X_918,one))))) ),[1,1,1,0],$fot(meet(one,X_918))]]) ).
cnf(refute_0_5096,plain,
( top != join(one,composition(top,complement(meet(X_918,one))))
| top = join(one,composition(top,complement(meet(one,X_918)))) ),
inference(resolve,[$cnf( $equal(meet(X_918,one),meet(one,X_918)) )],[refute_0_5094,refute_0_5095]) ).
cnf(refute_0_5097,plain,
top = join(one,composition(top,complement(meet(one,X_918)))),
inference(resolve,[$cnf( $equal(top,join(one,composition(top,complement(meet(X_918,one))))) )],[refute_0_5091,refute_0_5096]) ).
cnf(refute_0_5098,plain,
top = join(one,composition(top,complement(meet(one,X_1270)))),
inference(subst,[],[refute_0_5097:[bind(X_918,$fot(X_1270))]]) ).
cnf(refute_0_5099,plain,
( top != join(one,composition(top,complement(meet(one,X_1270))))
| join(one,composition(top,complement(meet(one,X_1270)))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,composition(top,complement(meet(one,X_1270))))))]]) ).
cnf(refute_0_5100,plain,
join(one,composition(top,complement(meet(one,X_1270)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,composition(top,complement(meet(one,X_1270))))) )],[refute_0_5098,refute_0_5099]) ).
cnf(refute_0_5101,plain,
( composition(converse(join(one,composition(top,complement(meet(one,X_1270))))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) != complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))
| join(one,composition(top,complement(meet(one,X_1270)))) != top
| composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,composition(top,complement(meet(one,X_1270))))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_5102,plain,
( composition(converse(join(one,composition(top,complement(meet(one,X_1270))))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) != complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))
| composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) ),
inference(resolve,[$cnf( $equal(join(one,composition(top,complement(meet(one,X_1270)))),top) )],[refute_0_5100,refute_0_5101]) ).
cnf(refute_0_5103,plain,
composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))),
inference(resolve,[$cnf( $equal(composition(converse(join(one,composition(top,complement(meet(one,X_1270))))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) )],[refute_0_3824,refute_0_5102]) ).
cnf(refute_0_5104,plain,
join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,composition(converse(join(one,composition(complement(composition(X_428,top)),top))),X_428))))) = complement(X_428),
inference(subst,[],[refute_0_2803:[bind(B,$fot(X_428)),bind(X_64,$fot(X_429)),bind(X_65,$fot(converse(join(one,composition(complement(composition(X_428,top)),top)))))]]) ).
cnf(refute_0_5105,plain,
composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) = join(X_149,composition(converse(composition(complement(composition(X_149,top)),top)),X_149)),
inference(subst,[],[refute_0_57:[bind(X_147,$fot(converse(composition(complement(composition(X_149,top)),top))))]]) ).
cnf(refute_0_5106,plain,
converse(composition(converse(A),composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))))) = composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A),
inference(subst,[],[refute_0_20:[bind(X_35,$fot(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))))]]) ).
cnf(refute_0_5107,plain,
composition(converse(A),composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))) = zero,
inference(subst,[],[refute_0_3092:[bind(A,$fot(converse(A))),bind(B,$fot(X_175))]]) ).
cnf(refute_0_5108,plain,
( composition(converse(A),composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))) != zero
| converse(composition(converse(A),composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))))) != composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)
| converse(zero) = composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))))),composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_5109,plain,
( converse(composition(converse(A),composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))))) != composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)
| converse(zero) = composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A) ),
inference(resolve,[$cnf( $equal(composition(converse(A),composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),zero) )],[refute_0_5107,refute_0_5108]) ).
cnf(refute_0_5110,plain,
converse(zero) = composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))))),composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)) )],[refute_0_5106,refute_0_5109]) ).
cnf(refute_0_5111,plain,
( converse(zero) != composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)
| converse(zero) != zero
| zero = composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)) ),[0],$fot(zero)]]) ).
cnf(refute_0_5112,plain,
( converse(zero) != composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)
| zero = composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2338,refute_0_5111]) ).
cnf(refute_0_5113,plain,
converse(composition(top,composition(converse(A),X_175))) = composition(converse(X_175),composition(A,top)),
inference(subst,[],[refute_0_2640:[bind(X_35,$fot(X_175))]]) ).
cnf(refute_0_5114,plain,
complement(converse(composition(top,composition(converse(A),X_175)))) = complement(converse(composition(top,composition(converse(A),X_175)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(converse(A),X_175)))))]]) ).
cnf(refute_0_5115,plain,
( complement(converse(composition(top,composition(converse(A),X_175)))) != complement(converse(composition(top,composition(converse(A),X_175))))
| converse(composition(top,composition(converse(A),X_175))) != composition(converse(X_175),composition(A,top))
| complement(converse(composition(top,composition(converse(A),X_175)))) = complement(composition(converse(X_175),composition(A,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(converse(A),X_175)))),complement(converse(composition(top,composition(converse(A),X_175))))) ),[1,0],$fot(composition(converse(X_175),composition(A,top)))]]) ).
cnf(refute_0_5116,plain,
( converse(composition(top,composition(converse(A),X_175))) != composition(converse(X_175),composition(A,top))
| complement(converse(composition(top,composition(converse(A),X_175)))) = complement(composition(converse(X_175),composition(A,top))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(converse(A),X_175)))),complement(converse(composition(top,composition(converse(A),X_175))))) )],[refute_0_5114,refute_0_5115]) ).
cnf(refute_0_5117,plain,
complement(converse(composition(top,composition(converse(A),X_175)))) = complement(composition(converse(X_175),composition(A,top))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(A),X_175))),composition(converse(X_175),composition(A,top))) )],[refute_0_5113,refute_0_5116]) ).
cnf(refute_0_5118,plain,
composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))) = composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))),
introduced(tautology,[refl,[$fot(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))))]]) ).
cnf(refute_0_5119,plain,
( complement(converse(composition(top,composition(converse(A),X_175)))) != complement(composition(converse(X_175),composition(A,top)))
| composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))) != composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))
| composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))) = composition(X_175,complement(composition(converse(X_175),composition(A,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))),composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))) ),[1,1],$fot(complement(composition(converse(X_175),composition(A,top))))]]) ).
cnf(refute_0_5120,plain,
( complement(converse(composition(top,composition(converse(A),X_175)))) != complement(composition(converse(X_175),composition(A,top)))
| composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))) = composition(X_175,complement(composition(converse(X_175),composition(A,top)))) ),
inference(resolve,[$cnf( $equal(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))),composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))) )],[refute_0_5118,refute_0_5119]) ).
cnf(refute_0_5121,plain,
composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))) = composition(X_175,complement(composition(converse(X_175),composition(A,top)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(converse(A),X_175)))),complement(composition(converse(X_175),composition(A,top)))) )],[refute_0_5117,refute_0_5120]) ).
cnf(refute_0_5122,plain,
converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))) = converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),
introduced(tautology,[refl,[$fot(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))))]]) ).
cnf(refute_0_5123,plain,
( composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))) != composition(X_175,complement(composition(converse(X_175),composition(A,top))))
| converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))) != converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))))
| converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))) = converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))))) ),[1,0],$fot(composition(X_175,complement(composition(converse(X_175),composition(A,top)))))]]) ).
cnf(refute_0_5124,plain,
( composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))) != composition(X_175,complement(composition(converse(X_175),composition(A,top))))
| converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))) = converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))) ),
inference(resolve,[$cnf( $equal(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))))) )],[refute_0_5122,refute_0_5123]) ).
cnf(refute_0_5125,plain,
converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))) = converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))),
inference(resolve,[$cnf( $equal(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175))))),composition(X_175,complement(composition(converse(X_175),composition(A,top))))) )],[refute_0_5121,refute_0_5124]) ).
cnf(refute_0_5126,plain,
composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A) = composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A),
introduced(tautology,[refl,[$fot(composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A))]]) ).
cnf(refute_0_5127,plain,
( composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A) != composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)
| converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))) != converse(composition(X_175,complement(composition(converse(X_175),composition(A,top)))))
| composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A) = composition(converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))),A) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A),composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)) ),[1,0],$fot(converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))))]]) ).
cnf(refute_0_5128,plain,
( converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))) != converse(composition(X_175,complement(composition(converse(X_175),composition(A,top)))))
| composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A) = composition(converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))),A) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A),composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)) )],[refute_0_5126,refute_0_5127]) ).
cnf(refute_0_5129,plain,
composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A) = composition(converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))),A),
inference(resolve,[$cnf( $equal(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),converse(composition(X_175,complement(composition(converse(X_175),composition(A,top)))))) )],[refute_0_5125,refute_0_5128]) ).
cnf(refute_0_5130,plain,
( composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A) != composition(converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))),A)
| zero != composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)
| zero = composition(converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))),A) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)) ),[1],$fot(composition(converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))),A))]]) ).
cnf(refute_0_5131,plain,
( zero != composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)
| zero = composition(converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))),A) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A),composition(converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))),A)) )],[refute_0_5129,refute_0_5130]) ).
cnf(refute_0_5132,plain,
( converse(zero) != composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)
| zero = composition(converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))),A) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)) )],[refute_0_5112,refute_0_5131]) ).
cnf(refute_0_5133,plain,
zero = composition(converse(composition(X_175,complement(composition(converse(X_175),composition(A,top))))),A),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(composition(X_175,complement(converse(composition(top,composition(converse(A),X_175)))))),A)) )],[refute_0_5110,refute_0_5132]) ).
cnf(refute_0_5134,plain,
zero = composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top))))),X_226),
inference(subst,[],[refute_0_5133:[bind(A,$fot(X_226)),bind(X_175,$fot(complement(composition(composition(X_226,top),top))))]]) ).
cnf(refute_0_5135,plain,
zero = composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top)),
inference(subst,[],[refute_0_2444:[bind(A,$fot(composition(X_226,top)))]]) ).
cnf(refute_0_5136,plain,
( zero != composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top))
| composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top)) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top))))]]) ).
cnf(refute_0_5137,plain,
composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top))) )],[refute_0_5135,refute_0_5136]) ).
cnf(refute_0_5138,plain,
( composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top)) != zero
| zero != composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top))))),X_226)
| zero = composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top))))),X_226)) ),[1,0,0,1,0],$fot(zero)]]) ).
cnf(refute_0_5139,plain,
( zero != composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top))))),X_226)
| zero = composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top)),zero) )],[refute_0_5137,refute_0_5138]) ).
cnf(refute_0_5140,plain,
zero = composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226),
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(composition(converse(complement(composition(composition(X_226,top),top))),composition(X_226,top))))),X_226)) )],[refute_0_5134,refute_0_5139]) ).
cnf(refute_0_5141,plain,
composition(complement(composition(X_226,top)),complement(zero)) = composition(complement(composition(X_226,top)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(X_226,top)),complement(zero)))]]) ).
cnf(refute_0_5142,plain,
( complement(zero) != top
| composition(complement(composition(X_226,top)),complement(zero)) != composition(complement(composition(X_226,top)),complement(zero))
| composition(complement(composition(X_226,top)),complement(zero)) = composition(complement(composition(X_226,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_226,top)),complement(zero)),composition(complement(composition(X_226,top)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5143,plain,
( complement(zero) != top
| composition(complement(composition(X_226,top)),complement(zero)) = composition(complement(composition(X_226,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_226,top)),complement(zero)),composition(complement(composition(X_226,top)),complement(zero))) )],[refute_0_5141,refute_0_5142]) ).
cnf(refute_0_5144,plain,
composition(complement(composition(X_226,top)),complement(zero)) = composition(complement(composition(X_226,top)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1014,refute_0_5143]) ).
cnf(refute_0_5145,plain,
composition(X_226,composition(top,top)) = composition(X_226,composition(top,top)),
introduced(tautology,[refl,[$fot(composition(X_226,composition(top,top)))]]) ).
cnf(refute_0_5146,plain,
( composition(X_226,composition(top,top)) != composition(X_226,composition(top,top))
| composition(top,top) != top
| composition(X_226,composition(top,top)) = composition(X_226,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_226,composition(top,top)),composition(X_226,composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5147,plain,
( composition(top,top) != top
| composition(X_226,composition(top,top)) = composition(X_226,top) ),
inference(resolve,[$cnf( $equal(composition(X_226,composition(top,top)),composition(X_226,composition(top,top))) )],[refute_0_5145,refute_0_5146]) ).
cnf(refute_0_5148,plain,
composition(X_226,composition(top,top)) = composition(X_226,top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_2892,refute_0_5147]) ).
cnf(refute_0_5149,plain,
composition(composition(X_226,top),top) = composition(X_226,composition(top,top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_226)),bind(B,$fot(top)),bind(C,$fot(top))]]) ).
cnf(refute_0_5150,plain,
( composition(X_226,composition(top,top)) != composition(X_226,top)
| composition(composition(X_226,top),top) != composition(X_226,composition(top,top))
| composition(composition(X_226,top),top) = composition(X_226,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(composition(X_226,top),top))),bind(Y,$fot(composition(X_226,composition(top,top)))),bind(Z,$fot(composition(X_226,top)))]]) ).
cnf(refute_0_5151,plain,
( composition(X_226,composition(top,top)) != composition(X_226,top)
| composition(composition(X_226,top),top) = composition(X_226,top) ),
inference(resolve,[$cnf( $equal(composition(composition(X_226,top),top),composition(X_226,composition(top,top))) )],[refute_0_5149,refute_0_5150]) ).
cnf(refute_0_5152,plain,
composition(composition(X_226,top),top) = composition(X_226,top),
inference(resolve,[$cnf( $equal(composition(X_226,composition(top,top)),composition(X_226,top)) )],[refute_0_5148,refute_0_5151]) ).
cnf(refute_0_5153,plain,
complement(composition(composition(X_226,top),top)) = complement(composition(composition(X_226,top),top)),
introduced(tautology,[refl,[$fot(complement(composition(composition(X_226,top),top)))]]) ).
cnf(refute_0_5154,plain,
( complement(composition(composition(X_226,top),top)) != complement(composition(composition(X_226,top),top))
| composition(composition(X_226,top),top) != composition(X_226,top)
| complement(composition(composition(X_226,top),top)) = complement(composition(X_226,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(composition(X_226,top),top)),complement(composition(composition(X_226,top),top))) ),[1,0],$fot(composition(X_226,top))]]) ).
cnf(refute_0_5155,plain,
( composition(composition(X_226,top),top) != composition(X_226,top)
| complement(composition(composition(X_226,top),top)) = complement(composition(X_226,top)) ),
inference(resolve,[$cnf( $equal(complement(composition(composition(X_226,top),top)),complement(composition(composition(X_226,top),top))) )],[refute_0_5153,refute_0_5154]) ).
cnf(refute_0_5156,plain,
complement(composition(composition(X_226,top),top)) = complement(composition(X_226,top)),
inference(resolve,[$cnf( $equal(composition(composition(X_226,top),top),composition(X_226,top)) )],[refute_0_5152,refute_0_5155]) ).
cnf(refute_0_5157,plain,
composition(complement(composition(composition(X_226,top),top)),complement(zero)) = composition(complement(composition(composition(X_226,top),top)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(composition(X_226,top),top)),complement(zero)))]]) ).
cnf(refute_0_5158,plain,
( complement(composition(composition(X_226,top),top)) != complement(composition(X_226,top))
| composition(complement(composition(composition(X_226,top),top)),complement(zero)) != composition(complement(composition(composition(X_226,top),top)),complement(zero))
| composition(complement(composition(composition(X_226,top),top)),complement(zero)) = composition(complement(composition(X_226,top)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(composition(X_226,top),top)),complement(zero)),composition(complement(composition(composition(X_226,top),top)),complement(zero))) ),[1,0],$fot(complement(composition(X_226,top)))]]) ).
cnf(refute_0_5159,plain,
( complement(composition(composition(X_226,top),top)) != complement(composition(X_226,top))
| composition(complement(composition(composition(X_226,top),top)),complement(zero)) = composition(complement(composition(X_226,top)),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(composition(X_226,top),top)),complement(zero)),composition(complement(composition(composition(X_226,top),top)),complement(zero))) )],[refute_0_5157,refute_0_5158]) ).
cnf(refute_0_5160,plain,
composition(complement(composition(composition(X_226,top),top)),complement(zero)) = composition(complement(composition(X_226,top)),complement(zero)),
inference(resolve,[$cnf( $equal(complement(composition(composition(X_226,top),top)),complement(composition(X_226,top))) )],[refute_0_5156,refute_0_5159]) ).
cnf(refute_0_5161,plain,
( composition(complement(composition(X_226,top)),complement(zero)) != composition(complement(composition(X_226,top)),top)
| composition(complement(composition(composition(X_226,top),top)),complement(zero)) != composition(complement(composition(X_226,top)),complement(zero))
| composition(complement(composition(composition(X_226,top),top)),complement(zero)) = composition(complement(composition(X_226,top)),top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(complement(composition(composition(X_226,top),top)),complement(zero)))),bind(Y,$fot(composition(complement(composition(X_226,top)),complement(zero)))),bind(Z,$fot(composition(complement(composition(X_226,top)),top)))]]) ).
cnf(refute_0_5162,plain,
( composition(complement(composition(X_226,top)),complement(zero)) != composition(complement(composition(X_226,top)),top)
| composition(complement(composition(composition(X_226,top),top)),complement(zero)) = composition(complement(composition(X_226,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(composition(X_226,top),top)),complement(zero)),composition(complement(composition(X_226,top)),complement(zero))) )],[refute_0_5160,refute_0_5161]) ).
cnf(refute_0_5163,plain,
composition(complement(composition(composition(X_226,top),top)),complement(zero)) = composition(complement(composition(X_226,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_226,top)),complement(zero)),composition(complement(composition(X_226,top)),top)) )],[refute_0_5144,refute_0_5162]) ).
cnf(refute_0_5164,plain,
converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))) = converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))))]]) ).
cnf(refute_0_5165,plain,
( composition(complement(composition(composition(X_226,top),top)),complement(zero)) != composition(complement(composition(X_226,top)),top)
| converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))) != converse(composition(complement(composition(composition(X_226,top),top)),complement(zero)))
| converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))) = converse(composition(complement(composition(X_226,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),converse(composition(complement(composition(composition(X_226,top),top)),complement(zero)))) ),[1,0],$fot(composition(complement(composition(X_226,top)),top))]]) ).
cnf(refute_0_5166,plain,
( composition(complement(composition(composition(X_226,top),top)),complement(zero)) != composition(complement(composition(X_226,top)),top)
| converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))) = converse(composition(complement(composition(X_226,top)),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),converse(composition(complement(composition(composition(X_226,top),top)),complement(zero)))) )],[refute_0_5164,refute_0_5165]) ).
cnf(refute_0_5167,plain,
converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))) = converse(composition(complement(composition(X_226,top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(composition(X_226,top),top)),complement(zero)),composition(complement(composition(X_226,top)),top)) )],[refute_0_5163,refute_0_5166]) ).
cnf(refute_0_5168,plain,
composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226) = composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226),
introduced(tautology,[refl,[$fot(composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226))]]) ).
cnf(refute_0_5169,plain,
( composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226) != composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226)
| converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))) != converse(composition(complement(composition(X_226,top)),top))
| composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226) = composition(converse(composition(complement(composition(X_226,top)),top)),X_226) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226),composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226)) ),[1,0],$fot(converse(composition(complement(composition(X_226,top)),top)))]]) ).
cnf(refute_0_5170,plain,
( converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))) != converse(composition(complement(composition(X_226,top)),top))
| composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226) = composition(converse(composition(complement(composition(X_226,top)),top)),X_226) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226),composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226)) )],[refute_0_5168,refute_0_5169]) ).
cnf(refute_0_5171,plain,
composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226) = composition(converse(composition(complement(composition(X_226,top)),top)),X_226),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),converse(composition(complement(composition(X_226,top)),top))) )],[refute_0_5167,refute_0_5170]) ).
cnf(refute_0_5172,plain,
( composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226) != composition(converse(composition(complement(composition(X_226,top)),top)),X_226)
| zero != composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226)
| zero = composition(converse(composition(complement(composition(X_226,top)),top)),X_226) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226)) ),[1],$fot(composition(converse(composition(complement(composition(X_226,top)),top)),X_226))]]) ).
cnf(refute_0_5173,plain,
( zero != composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226)
| zero = composition(converse(composition(complement(composition(X_226,top)),top)),X_226) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226),composition(converse(composition(complement(composition(X_226,top)),top)),X_226)) )],[refute_0_5171,refute_0_5172]) ).
cnf(refute_0_5174,plain,
zero = composition(converse(composition(complement(composition(X_226,top)),top)),X_226),
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(complement(composition(composition(X_226,top),top)),complement(zero))),X_226)) )],[refute_0_5140,refute_0_5173]) ).
cnf(refute_0_5175,plain,
zero = composition(converse(composition(complement(composition(X_149,top)),top)),X_149),
inference(subst,[],[refute_0_5174:[bind(X_226,$fot(X_149))]]) ).
cnf(refute_0_5176,plain,
( zero != composition(converse(composition(complement(composition(X_149,top)),top)),X_149)
| composition(converse(composition(complement(composition(X_149,top)),top)),X_149) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(composition(complement(composition(X_149,top)),top)),X_149)))]]) ).
cnf(refute_0_5177,plain,
composition(converse(composition(complement(composition(X_149,top)),top)),X_149) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(complement(composition(X_149,top)),top)),X_149)) )],[refute_0_5175,refute_0_5176]) ).
cnf(refute_0_5178,plain,
( composition(converse(composition(complement(composition(X_149,top)),top)),X_149) != zero
| composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) != join(X_149,composition(converse(composition(complement(composition(X_149,top)),top)),X_149))
| composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) = join(X_149,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149),join(X_149,composition(converse(composition(complement(composition(X_149,top)),top)),X_149))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_5179,plain,
( composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) != join(X_149,composition(converse(composition(complement(composition(X_149,top)),top)),X_149))
| composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) = join(X_149,zero) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(X_149,top)),top)),X_149),zero) )],[refute_0_5177,refute_0_5178]) ).
cnf(refute_0_5180,plain,
composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) = join(X_149,zero),
inference(resolve,[$cnf( $equal(composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149),join(X_149,composition(converse(composition(complement(composition(X_149,top)),top)),X_149))) )],[refute_0_5105,refute_0_5179]) ).
cnf(refute_0_5181,plain,
join(one,converse(composition(complement(composition(X_149,top)),top))) = converse(join(one,composition(complement(composition(X_149,top)),top))),
inference(subst,[],[refute_0_1258:[bind(X_5,$fot(composition(complement(composition(X_149,top)),top)))]]) ).
cnf(refute_0_5182,plain,
composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149) = composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149),
introduced(tautology,[refl,[$fot(composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149))]]) ).
cnf(refute_0_5183,plain,
( composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149) != composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149)
| join(one,converse(composition(complement(composition(X_149,top)),top))) != converse(join(one,composition(complement(composition(X_149,top)),top)))
| composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149) = composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149),composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149)) ),[1,0],$fot(converse(join(one,composition(complement(composition(X_149,top)),top))))]]) ).
cnf(refute_0_5184,plain,
( join(one,converse(composition(complement(composition(X_149,top)),top))) != converse(join(one,composition(complement(composition(X_149,top)),top)))
| composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149) = composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149),composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149)) )],[refute_0_5182,refute_0_5183]) ).
cnf(refute_0_5185,plain,
composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149) = composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149),
inference(resolve,[$cnf( $equal(join(one,converse(composition(complement(composition(X_149,top)),top))),converse(join(one,composition(complement(composition(X_149,top)),top)))) )],[refute_0_5181,refute_0_5184]) ).
cnf(refute_0_5186,plain,
composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) = composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149),
inference(subst,[],[refute_0_79:[bind(X_150,$fot(converse(composition(complement(composition(X_149,top)),top)))),bind(X_151,$fot(X_149))]]) ).
cnf(refute_0_5187,plain,
( composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) != composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149)
| composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149) != composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149)
| composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) = composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149))),bind(Y,$fot(composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149))),bind(Z,$fot(composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149)))]]) ).
cnf(refute_0_5188,plain,
( composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149) != composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149)
| composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) = composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149) ),
inference(resolve,[$cnf( $equal(composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149),composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149)) )],[refute_0_5186,refute_0_5187]) ).
cnf(refute_0_5189,plain,
composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) = composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149),
inference(resolve,[$cnf( $equal(composition(join(one,converse(composition(complement(composition(X_149,top)),top))),X_149),composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149)) )],[refute_0_5185,refute_0_5188]) ).
cnf(refute_0_5190,plain,
( composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) != composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149)
| composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) != join(X_149,zero)
| composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149) = join(X_149,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149),join(X_149,zero)) ),[0],$fot(composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149))]]) ).
cnf(refute_0_5191,plain,
( composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) != join(X_149,zero)
| composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149) = join(X_149,zero) ),
inference(resolve,[$cnf( $equal(composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149),composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149)) )],[refute_0_5189,refute_0_5190]) ).
cnf(refute_0_5192,plain,
join(X_149,zero) = X_149,
inference(subst,[],[refute_0_1072:[bind(X_41,$fot(X_149))]]) ).
cnf(refute_0_5193,plain,
( composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149) != join(X_149,zero)
| join(X_149,zero) != X_149
| composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149) = X_149 ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149),X_149) ),[0],$fot(join(X_149,zero))]]) ).
cnf(refute_0_5194,plain,
( composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149) != join(X_149,zero)
| composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149) = X_149 ),
inference(resolve,[$cnf( $equal(join(X_149,zero),X_149) )],[refute_0_5192,refute_0_5193]) ).
cnf(refute_0_5195,plain,
( composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149) != join(X_149,zero)
| composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149) = X_149 ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149),join(X_149,zero)) )],[refute_0_5191,refute_0_5194]) ).
cnf(refute_0_5196,plain,
composition(converse(join(one,composition(complement(composition(X_149,top)),top))),X_149) = X_149,
inference(resolve,[$cnf( $equal(composition(join(converse(composition(complement(composition(X_149,top)),top)),one),X_149),join(X_149,zero)) )],[refute_0_5180,refute_0_5195]) ).
cnf(refute_0_5197,plain,
composition(converse(join(one,composition(complement(composition(X_428,top)),top))),X_428) = X_428,
inference(subst,[],[refute_0_5196:[bind(X_149,$fot(X_428))]]) ).
cnf(refute_0_5198,plain,
( composition(converse(join(one,composition(complement(composition(X_428,top)),top))),X_428) != X_428
| join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,composition(converse(join(one,composition(complement(composition(X_428,top)),top))),X_428))))) != complement(X_428)
| join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) = complement(X_428) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,composition(converse(join(one,composition(complement(composition(X_428,top)),top))),X_428))))),complement(X_428)) ),[0,1,1,0,1],$fot(X_428)]]) ).
cnf(refute_0_5199,plain,
( join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,composition(converse(join(one,composition(complement(composition(X_428,top)),top))),X_428))))) != complement(X_428)
| join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) = complement(X_428) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,composition(complement(composition(X_428,top)),top))),X_428),X_428) )],[refute_0_5197,refute_0_5198]) ).
cnf(refute_0_5200,plain,
join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) = complement(X_428),
inference(resolve,[$cnf( $equal(join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,composition(converse(join(one,composition(complement(composition(X_428,top)),top))),X_428))))),complement(X_428)) )],[refute_0_5104,refute_0_5199]) ).
cnf(refute_0_5201,plain,
composition(composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429)),complement(composition(X_429,X_428))) = composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(join(one,composition(complement(composition(X_428,top)),top)))),bind(B,$fot(converse(X_429))),bind(C,$fot(complement(composition(X_429,X_428))))]]) ).
cnf(refute_0_5202,plain,
converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))) = composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429)),
inference(subst,[],[refute_0_104:[bind(A,$fot(join(one,composition(complement(composition(X_428,top)),top)))),bind(X_34,$fot(X_429))]]) ).
cnf(refute_0_5203,plain,
composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))) = composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))),
introduced(tautology,[refl,[$fot(composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))))]]) ).
cnf(refute_0_5204,plain,
( composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))) != composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))
| converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))) != composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429))
| composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))) = composition(composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429)),complement(composition(X_429,X_428))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) ),[1,0],$fot(composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429)))]]) ).
cnf(refute_0_5205,plain,
( converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))) != composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429))
| composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))) = composition(composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429)),complement(composition(X_429,X_428))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) )],[refute_0_5203,refute_0_5204]) ).
cnf(refute_0_5206,plain,
composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))) = composition(composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429)),complement(composition(X_429,X_428))),
inference(resolve,[$cnf( $equal(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429))) )],[refute_0_5202,refute_0_5205]) ).
cnf(refute_0_5207,plain,
( composition(composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429)),complement(composition(X_429,X_428))) != composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))
| composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))) != composition(composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429)),complement(composition(X_429,X_428)))
| composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))) = composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))))),bind(Y,$fot(composition(composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429)),complement(composition(X_429,X_428))))),bind(Z,$fot(composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))))]]) ).
cnf(refute_0_5208,plain,
( composition(composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429)),complement(composition(X_429,X_428))) != composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))
| composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))) = composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))),composition(composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429)),complement(composition(X_429,X_428)))) )],[refute_0_5206,refute_0_5207]) ).
cnf(refute_0_5209,plain,
composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))) = composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))),
inference(resolve,[$cnf( $equal(composition(composition(join(one,composition(complement(composition(X_428,top)),top)),converse(X_429)),complement(composition(X_429,X_428))),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) )],[refute_0_5201,refute_0_5208]) ).
cnf(refute_0_5210,plain,
join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) = join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))),
introduced(tautology,[refl,[$fot(join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))))]]) ).
cnf(refute_0_5211,plain,
( composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))) != composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))
| join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) != join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))))
| join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) = join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))),join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))))) ),[1,1],$fot(composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))))]]) ).
cnf(refute_0_5212,plain,
( composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))) != composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))
| join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) = join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))),join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))))) )],[refute_0_5210,refute_0_5211]) ).
cnf(refute_0_5213,plain,
join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) = join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428))),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) )],[refute_0_5209,refute_0_5212]) ).
cnf(refute_0_5214,plain,
( join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) != complement(X_428)
| join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) != join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))))
| join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) = complement(X_428) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))),complement(X_428)) ),[0],$fot(join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))))]]) ).
cnf(refute_0_5215,plain,
( join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))) != complement(X_428)
| join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) = complement(X_428) ),
inference(resolve,[$cnf( $equal(join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))),join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))))) )],[refute_0_5213,refute_0_5214]) ).
cnf(refute_0_5216,plain,
join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) = complement(X_428),
inference(resolve,[$cnf( $equal(join(complement(X_428),composition(converse(composition(X_429,converse(join(one,composition(complement(composition(X_428,top)),top))))),complement(composition(X_429,X_428)))),complement(X_428)) )],[refute_0_5200,refute_0_5215]) ).
cnf(refute_0_5217,plain,
composition(complement(composition(X_949,top)),top) = join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(complement(composition(complement(composition(X_949,top)),top)),top)))),
inference(subst,[],[refute_0_3368:[bind(A,$fot(composition(complement(composition(X_949,top)),top)))]]) ).
cnf(refute_0_5218,plain,
join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(composition(converse(composition(complement(composition(X_35,top)),top)),X_35))))) = complement(converse(converse(composition(complement(composition(X_35,top)),top)))),
inference(subst,[],[refute_0_1352:[bind(X_34,$fot(converse(composition(complement(composition(X_35,top)),top))))]]) ).
cnf(refute_0_5219,plain,
zero = composition(converse(composition(complement(composition(X_35,top)),top)),X_35),
inference(subst,[],[refute_0_5174:[bind(X_226,$fot(X_35))]]) ).
cnf(refute_0_5220,plain,
( zero != composition(converse(composition(complement(composition(X_35,top)),top)),X_35)
| composition(converse(composition(complement(composition(X_35,top)),top)),X_35) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(composition(complement(composition(X_35,top)),top)),X_35)))]]) ).
cnf(refute_0_5221,plain,
composition(converse(composition(complement(composition(X_35,top)),top)),X_35) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(complement(composition(X_35,top)),top)),X_35)) )],[refute_0_5219,refute_0_5220]) ).
cnf(refute_0_5222,plain,
( composition(converse(composition(complement(composition(X_35,top)),top)),X_35) != zero
| join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(composition(converse(composition(complement(composition(X_35,top)),top)),X_35))))) != complement(converse(converse(composition(complement(composition(X_35,top)),top))))
| join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))) = complement(converse(converse(composition(complement(composition(X_35,top)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(composition(converse(composition(complement(composition(X_35,top)),top)),X_35))))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_5223,plain,
( join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(composition(converse(composition(complement(composition(X_35,top)),top)),X_35))))) != complement(converse(converse(composition(complement(composition(X_35,top)),top))))
| join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))) = complement(converse(converse(composition(complement(composition(X_35,top)),top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(X_35,top)),top)),X_35),zero) )],[refute_0_5221,refute_0_5222]) ).
cnf(refute_0_5224,plain,
join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))) = complement(converse(converse(composition(complement(composition(X_35,top)),top)))),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(composition(converse(composition(complement(composition(X_35,top)),top)),X_35))))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) )],[refute_0_5218,refute_0_5223]) ).
cnf(refute_0_5225,plain,
converse(converse(composition(complement(composition(X_35,top)),top))) = composition(complement(composition(X_35,top)),top),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(complement(composition(X_35,top)),top)))]]) ).
cnf(refute_0_5226,plain,
complement(converse(converse(composition(complement(composition(X_35,top)),top)))) = complement(converse(converse(composition(complement(composition(X_35,top)),top)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(complement(composition(X_35,top)),top)))))]]) ).
cnf(refute_0_5227,plain,
( complement(converse(converse(composition(complement(composition(X_35,top)),top)))) != complement(converse(converse(composition(complement(composition(X_35,top)),top))))
| converse(converse(composition(complement(composition(X_35,top)),top))) != composition(complement(composition(X_35,top)),top)
| complement(converse(converse(composition(complement(composition(X_35,top)),top)))) = complement(composition(complement(composition(X_35,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) ),[1,0],$fot(composition(complement(composition(X_35,top)),top))]]) ).
cnf(refute_0_5228,plain,
( converse(converse(composition(complement(composition(X_35,top)),top))) != composition(complement(composition(X_35,top)),top)
| complement(converse(converse(composition(complement(composition(X_35,top)),top)))) = complement(composition(complement(composition(X_35,top)),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) )],[refute_0_5226,refute_0_5227]) ).
cnf(refute_0_5229,plain,
complement(converse(converse(composition(complement(composition(X_35,top)),top)))) = complement(composition(complement(composition(X_35,top)),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(composition(X_35,top)),top))),composition(complement(composition(X_35,top)),top)) )],[refute_0_5225,refute_0_5228]) ).
cnf(refute_0_5230,plain,
join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) = join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))),
introduced(tautology,[refl,[$fot(join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))))]]) ).
cnf(refute_0_5231,plain,
( complement(converse(converse(composition(complement(composition(X_35,top)),top)))) != complement(composition(complement(composition(X_35,top)),top))
| join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) != join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top)))))
| join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) = join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))),join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top)))))) ),[1,1],$fot(complement(composition(complement(composition(X_35,top)),top)))]]) ).
cnf(refute_0_5232,plain,
( complement(converse(converse(composition(complement(composition(X_35,top)),top)))) != complement(composition(complement(composition(X_35,top)),top))
| join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) = join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))),join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top)))))) )],[refute_0_5230,refute_0_5231]) ).
cnf(refute_0_5233,plain,
join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) = join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),complement(composition(complement(composition(X_35,top)),top))) )],[refute_0_5229,refute_0_5232]) ).
cnf(refute_0_5234,plain,
composition(X_35,complement(converse(zero))) = composition(X_35,complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(X_35,complement(converse(zero))))]]) ).
cnf(refute_0_5235,plain,
( complement(converse(zero)) != top
| composition(X_35,complement(converse(zero))) != composition(X_35,complement(converse(zero)))
| composition(X_35,complement(converse(zero))) = composition(X_35,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_35,complement(converse(zero))),composition(X_35,complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5236,plain,
( complement(converse(zero)) != top
| composition(X_35,complement(converse(zero))) = composition(X_35,top) ),
inference(resolve,[$cnf( $equal(composition(X_35,complement(converse(zero))),composition(X_35,complement(converse(zero)))) )],[refute_0_5234,refute_0_5235]) ).
cnf(refute_0_5237,plain,
composition(X_35,complement(converse(zero))) = composition(X_35,top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2246,refute_0_5236]) ).
cnf(refute_0_5238,plain,
join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) = join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))),
introduced(tautology,[refl,[$fot(join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))))]]) ).
cnf(refute_0_5239,plain,
( composition(X_35,complement(converse(zero))) != composition(X_35,top)
| join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) != join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top)))))
| join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) = join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))),join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top)))))) ),[1,0],$fot(composition(X_35,top))]]) ).
cnf(refute_0_5240,plain,
( composition(X_35,complement(converse(zero))) != composition(X_35,top)
| join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) = join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) ),
inference(resolve,[$cnf( $equal(join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))),join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top)))))) )],[refute_0_5238,refute_0_5239]) ).
cnf(refute_0_5241,plain,
join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) = join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))),
inference(resolve,[$cnf( $equal(composition(X_35,complement(converse(zero))),composition(X_35,top)) )],[refute_0_5237,refute_0_5240]) ).
cnf(refute_0_5242,plain,
( join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) != join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top)))))
| join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) != join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top)))
| join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) = join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))))),bind(Y,$fot(join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))))),bind(Z,$fot(join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top)))))]]) ).
cnf(refute_0_5243,plain,
( join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) != join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top)))
| join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) = join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))),join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top)))))) )],[refute_0_5241,refute_0_5242]) ).
cnf(refute_0_5244,plain,
join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) = join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))),
inference(resolve,[$cnf( $equal(join(composition(X_35,top),complement(converse(converse(composition(complement(composition(X_35,top)),top))))),join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top)))) )],[refute_0_5233,refute_0_5243]) ).
cnf(refute_0_5245,plain,
join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))) = join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))),
inference(subst,[],[refute_0_53:[bind(A,$fot(composition(X_35,complement(converse(zero))))),bind(B,$fot(complement(converse(converse(composition(complement(composition(X_35,top)),top))))))]]) ).
cnf(refute_0_5246,plain,
( join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))) != join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top)))))
| join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) != join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top)))
| join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))) = join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))))),bind(Y,$fot(join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))))),bind(Z,$fot(join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top)))))]]) ).
cnf(refute_0_5247,plain,
( join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) != join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top)))
| join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))) = join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))),join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top)))))) )],[refute_0_5245,refute_0_5246]) ).
cnf(refute_0_5248,plain,
join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))) = join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))),
inference(resolve,[$cnf( $equal(join(composition(X_35,complement(converse(zero))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))),join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top)))) )],[refute_0_5244,refute_0_5247]) ).
cnf(refute_0_5249,plain,
( join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))) != complement(converse(converse(composition(complement(composition(X_35,top)),top))))
| join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))) != join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top)))
| join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) = complement(converse(converse(composition(complement(composition(X_35,top)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) ),[0],$fot(join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))))]]) ).
cnf(refute_0_5250,plain,
( join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))) != complement(converse(converse(composition(complement(composition(X_35,top)),top))))
| join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) = complement(converse(converse(composition(complement(composition(X_35,top)),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))),join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top)))) )],[refute_0_5248,refute_0_5249]) ).
cnf(refute_0_5251,plain,
( complement(converse(converse(composition(complement(composition(X_35,top)),top)))) != complement(composition(complement(composition(X_35,top)),top))
| join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) != complement(converse(converse(composition(complement(composition(X_35,top)),top))))
| join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) = complement(composition(complement(composition(X_35,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) ),[1],$fot(complement(composition(complement(composition(X_35,top)),top)))]]) ).
cnf(refute_0_5252,plain,
( join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) != complement(converse(converse(composition(complement(composition(X_35,top)),top))))
| join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) = complement(composition(complement(composition(X_35,top)),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),complement(composition(complement(composition(X_35,top)),top))) )],[refute_0_5229,refute_0_5251]) ).
cnf(refute_0_5253,plain,
( join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))) != complement(converse(converse(composition(complement(composition(X_35,top)),top))))
| join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) = complement(composition(complement(composition(X_35,top)),top)) ),
inference(resolve,[$cnf( $equal(join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) )],[refute_0_5250,refute_0_5252]) ).
cnf(refute_0_5254,plain,
join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) = complement(composition(complement(composition(X_35,top)),top)),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(complement(composition(X_35,top)),top)))),composition(X_35,complement(converse(zero)))),complement(converse(converse(composition(complement(composition(X_35,top)),top))))) )],[refute_0_5224,refute_0_5253]) ).
cnf(refute_0_5255,plain,
converse(join(converse(A),complement(composition(top,complement(converse(A)))))) = join(A,converse(complement(composition(top,complement(converse(A)))))),
inference(subst,[],[refute_0_93:[bind(X_5,$fot(complement(composition(top,complement(converse(A))))))]]) ).
cnf(refute_0_5256,plain,
converse(join(converse(A),composition(complement(composition(complement(converse(A)),top)),top))) = join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))),
inference(subst,[],[refute_0_93:[bind(X_5,$fot(composition(complement(composition(complement(converse(A)),top)),top)))]]) ).
cnf(refute_0_5257,plain,
join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(composition(converse(complement(composition(B,top))),B)))) = complement(B),
inference(subst,[],[refute_0_437:[bind(A,$fot(converse(complement(composition(B,top)))))]]) ).
cnf(refute_0_5258,plain,
zero = composition(converse(complement(composition(B,top))),B),
inference(subst,[],[refute_0_2444:[bind(A,$fot(B))]]) ).
cnf(refute_0_5259,plain,
( zero != composition(converse(complement(composition(B,top))),B)
| composition(converse(complement(composition(B,top))),B) = zero ),
inference(subst,[],[refute_0_2:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(B,top))),B)))]]) ).
cnf(refute_0_5260,plain,
composition(converse(complement(composition(B,top))),B) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(B,top))),B)) )],[refute_0_5258,refute_0_5259]) ).
cnf(refute_0_5261,plain,
( composition(converse(complement(composition(B,top))),B) != zero
| join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(composition(converse(complement(composition(B,top))),B)))) != complement(B)
| join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(composition(converse(complement(composition(B,top))),B)))),complement(B)) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_5262,plain,
( join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(composition(converse(complement(composition(B,top))),B)))) != complement(B)
| join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))) = complement(B) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(B,top))),B),zero) )],[refute_0_5260,refute_0_5261]) ).
cnf(refute_0_5263,plain,
join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(composition(converse(complement(composition(B,top))),B)))),complement(B)) )],[refute_0_5257,refute_0_5262]) ).
cnf(refute_0_5264,plain,
composition(complement(composition(B,top)),complement(zero)) = composition(complement(composition(B,top)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(B,top)),complement(zero)))]]) ).
cnf(refute_0_5265,plain,
( complement(zero) != top
| composition(complement(composition(B,top)),complement(zero)) != composition(complement(composition(B,top)),complement(zero))
| composition(complement(composition(B,top)),complement(zero)) = composition(complement(composition(B,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(B,top)),complement(zero)),composition(complement(composition(B,top)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5266,plain,
( complement(zero) != top
| composition(complement(composition(B,top)),complement(zero)) = composition(complement(composition(B,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(B,top)),complement(zero)),composition(complement(composition(B,top)),complement(zero))) )],[refute_0_5264,refute_0_5265]) ).
cnf(refute_0_5267,plain,
composition(complement(composition(B,top)),complement(zero)) = composition(complement(composition(B,top)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1014,refute_0_5266]) ).
cnf(refute_0_5268,plain,
converse(converse(complement(composition(B,top)))) = complement(composition(B,top)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(composition(B,top))))]]) ).
cnf(refute_0_5269,plain,
composition(converse(converse(complement(composition(B,top)))),complement(zero)) = composition(converse(converse(complement(composition(B,top)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(complement(composition(B,top)))),complement(zero)))]]) ).
cnf(refute_0_5270,plain,
( composition(converse(converse(complement(composition(B,top)))),complement(zero)) != composition(converse(converse(complement(composition(B,top)))),complement(zero))
| converse(converse(complement(composition(B,top)))) != complement(composition(B,top))
| composition(converse(converse(complement(composition(B,top)))),complement(zero)) = composition(complement(composition(B,top)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(composition(B,top)))),complement(zero)),composition(converse(converse(complement(composition(B,top)))),complement(zero))) ),[1,0],$fot(complement(composition(B,top)))]]) ).
cnf(refute_0_5271,plain,
( converse(converse(complement(composition(B,top)))) != complement(composition(B,top))
| composition(converse(converse(complement(composition(B,top)))),complement(zero)) = composition(complement(composition(B,top)),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(B,top)))),complement(zero)),composition(converse(converse(complement(composition(B,top)))),complement(zero))) )],[refute_0_5269,refute_0_5270]) ).
cnf(refute_0_5272,plain,
composition(converse(converse(complement(composition(B,top)))),complement(zero)) = composition(complement(composition(B,top)),complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(B,top)))),complement(composition(B,top))) )],[refute_0_5268,refute_0_5271]) ).
cnf(refute_0_5273,plain,
( composition(complement(composition(B,top)),complement(zero)) != composition(complement(composition(B,top)),top)
| composition(converse(converse(complement(composition(B,top)))),complement(zero)) != composition(complement(composition(B,top)),complement(zero))
| composition(converse(converse(complement(composition(B,top)))),complement(zero)) = composition(complement(composition(B,top)),top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(converse(complement(composition(B,top)))),complement(zero)))),bind(Y,$fot(composition(complement(composition(B,top)),complement(zero)))),bind(Z,$fot(composition(complement(composition(B,top)),top)))]]) ).
cnf(refute_0_5274,plain,
( composition(complement(composition(B,top)),complement(zero)) != composition(complement(composition(B,top)),top)
| composition(converse(converse(complement(composition(B,top)))),complement(zero)) = composition(complement(composition(B,top)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(B,top)))),complement(zero)),composition(complement(composition(B,top)),complement(zero))) )],[refute_0_5272,refute_0_5273]) ).
cnf(refute_0_5275,plain,
composition(converse(converse(complement(composition(B,top)))),complement(zero)) = composition(complement(composition(B,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(B,top)),complement(zero)),composition(complement(composition(B,top)),top)) )],[refute_0_5267,refute_0_5274]) ).
cnf(refute_0_5276,plain,
join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))) = join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))))]]) ).
cnf(refute_0_5277,plain,
( composition(converse(converse(complement(composition(B,top)))),complement(zero)) != composition(complement(composition(B,top)),top)
| join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))) != join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero)))
| join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))) = join(complement(B),composition(complement(composition(B,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))),join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(B,top)),top))]]) ).
cnf(refute_0_5278,plain,
( composition(converse(converse(complement(composition(B,top)))),complement(zero)) != composition(complement(composition(B,top)),top)
| join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))) = join(complement(B),composition(complement(composition(B,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))),join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero)))) )],[refute_0_5276,refute_0_5277]) ).
cnf(refute_0_5279,plain,
join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))) = join(complement(B),composition(complement(composition(B,top)),top)),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(B,top)))),complement(zero)),composition(complement(composition(B,top)),top)) )],[refute_0_5275,refute_0_5278]) ).
cnf(refute_0_5280,plain,
( join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))) != complement(B)
| join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))) != join(complement(B),composition(complement(composition(B,top)),top))
| join(complement(B),composition(complement(composition(B,top)),top)) = complement(B) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))),complement(B)) ),[0],$fot(join(complement(B),composition(complement(composition(B,top)),top)))]]) ).
cnf(refute_0_5281,plain,
( join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))) != complement(B)
| join(complement(B),composition(complement(composition(B,top)),top)) = complement(B) ),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))),join(complement(B),composition(complement(composition(B,top)),top))) )],[refute_0_5279,refute_0_5280]) ).
cnf(refute_0_5282,plain,
join(complement(B),composition(complement(composition(B,top)),top)) = complement(B),
inference(resolve,[$cnf( $equal(join(complement(B),composition(converse(converse(complement(composition(B,top)))),complement(zero))),complement(B)) )],[refute_0_5263,refute_0_5281]) ).
cnf(refute_0_5283,plain,
join(complement(complement(X_25)),composition(complement(composition(complement(X_25),top)),top)) = complement(complement(X_25)),
inference(subst,[],[refute_0_5282:[bind(B,$fot(complement(X_25)))]]) ).
cnf(refute_0_5284,plain,
( complement(complement(X_25)) != X_25
| join(complement(complement(X_25)),composition(complement(composition(complement(X_25),top)),top)) != complement(complement(X_25))
| join(X_25,composition(complement(composition(complement(X_25),top)),top)) = complement(complement(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_25)),composition(complement(composition(complement(X_25),top)),top)),complement(complement(X_25))) ),[0,0],$fot(X_25)]]) ).
cnf(refute_0_5285,plain,
( join(complement(complement(X_25)),composition(complement(composition(complement(X_25),top)),top)) != complement(complement(X_25))
| join(X_25,composition(complement(composition(complement(X_25),top)),top)) = complement(complement(X_25)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_5284]) ).
cnf(refute_0_5286,plain,
join(X_25,composition(complement(composition(complement(X_25),top)),top)) = complement(complement(X_25)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_25)),composition(complement(composition(complement(X_25),top)),top)),complement(complement(X_25))) )],[refute_0_5283,refute_0_5285]) ).
cnf(refute_0_5287,plain,
( complement(complement(X_25)) != X_25
| join(X_25,composition(complement(composition(complement(X_25),top)),top)) != complement(complement(X_25))
| join(X_25,composition(complement(composition(complement(X_25),top)),top)) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,composition(complement(composition(complement(X_25),top)),top)),complement(complement(X_25))) ),[1],$fot(X_25)]]) ).
cnf(refute_0_5288,plain,
( join(X_25,composition(complement(composition(complement(X_25),top)),top)) != complement(complement(X_25))
| join(X_25,composition(complement(composition(complement(X_25),top)),top)) = X_25 ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_5287]) ).
cnf(refute_0_5289,plain,
join(X_25,composition(complement(composition(complement(X_25),top)),top)) = X_25,
inference(resolve,[$cnf( $equal(join(X_25,composition(complement(composition(complement(X_25),top)),top)),complement(complement(X_25))) )],[refute_0_5286,refute_0_5288]) ).
cnf(refute_0_5290,plain,
join(converse(A),composition(complement(composition(complement(converse(A)),top)),top)) = converse(A),
inference(subst,[],[refute_0_5289:[bind(X_25,$fot(converse(A)))]]) ).
cnf(refute_0_5291,plain,
( converse(join(converse(A),composition(complement(composition(complement(converse(A)),top)),top))) != join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))
| join(converse(A),composition(complement(composition(complement(converse(A)),top)),top)) != converse(A)
| converse(converse(A)) = join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),composition(complement(composition(complement(converse(A)),top)),top))),join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))) ),[0,0],$fot(converse(A))]]) ).
cnf(refute_0_5292,plain,
( converse(join(converse(A),composition(complement(composition(complement(converse(A)),top)),top))) != join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))
| converse(converse(A)) = join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))) ),
inference(resolve,[$cnf( $equal(join(converse(A),composition(complement(composition(complement(converse(A)),top)),top)),converse(A)) )],[refute_0_5290,refute_0_5291]) ).
cnf(refute_0_5293,plain,
converse(converse(A)) = join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),composition(complement(composition(complement(converse(A)),top)),top))),join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))) )],[refute_0_5256,refute_0_5292]) ).
cnf(refute_0_5294,plain,
( converse(converse(A)) != A
| converse(converse(A)) != join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))
| A = join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(A)),join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))) ),[0],$fot(A)]]) ).
cnf(refute_0_5295,plain,
( converse(converse(A)) != join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))
| A = join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_5294]) ).
cnf(refute_0_5296,plain,
composition(converse(top),complement(A)) = composition(converse(top),complement(A)),
introduced(tautology,[refl,[$fot(composition(converse(top),complement(A)))]]) ).
cnf(refute_0_5297,plain,
( composition(converse(top),complement(A)) != composition(converse(top),complement(A))
| converse(top) != top
| composition(converse(top),complement(A)) = composition(top,complement(A)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(A)),composition(converse(top),complement(A))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5298,plain,
( converse(top) != top
| composition(converse(top),complement(A)) = composition(top,complement(A)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(A)),composition(converse(top),complement(A))) )],[refute_0_5296,refute_0_5297]) ).
cnf(refute_0_5299,plain,
composition(converse(top),complement(A)) = composition(top,complement(A)),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_5298]) ).
cnf(refute_0_5300,plain,
converse(composition(converse(complement(X_324)),X_35)) = composition(converse(X_35),complement(X_324)),
inference(subst,[],[refute_0_20:[bind(A,$fot(complement(X_324)))]]) ).
cnf(refute_0_5301,plain,
( converse(complement(X_324)) != complement(converse(X_324))
| converse(composition(converse(complement(X_324)),X_35)) != composition(converse(X_35),complement(X_324))
| converse(composition(complement(converse(X_324)),X_35)) = composition(converse(X_35),complement(X_324)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(complement(X_324)),X_35)),composition(converse(X_35),complement(X_324))) ),[0,0,0],$fot(complement(converse(X_324)))]]) ).
cnf(refute_0_5302,plain,
( converse(composition(converse(complement(X_324)),X_35)) != composition(converse(X_35),complement(X_324))
| converse(composition(complement(converse(X_324)),X_35)) = composition(converse(X_35),complement(X_324)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_324)),complement(converse(X_324))) )],[refute_0_3182,refute_0_5301]) ).
cnf(refute_0_5303,plain,
converse(composition(complement(converse(X_324)),X_35)) = composition(converse(X_35),complement(X_324)),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(X_324)),X_35)),composition(converse(X_35),complement(X_324))) )],[refute_0_5300,refute_0_5302]) ).
cnf(refute_0_5304,plain,
converse(composition(complement(converse(A)),top)) = composition(converse(top),complement(A)),
inference(subst,[],[refute_0_5303:[bind(X_324,$fot(A)),bind(X_35,$fot(top))]]) ).
cnf(refute_0_5305,plain,
( composition(converse(top),complement(A)) != composition(top,complement(A))
| converse(composition(complement(converse(A)),top)) != composition(converse(top),complement(A))
| converse(composition(complement(converse(A)),top)) = composition(top,complement(A)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(complement(converse(A)),top)))),bind(Y,$fot(composition(converse(top),complement(A)))),bind(Z,$fot(composition(top,complement(A))))]]) ).
cnf(refute_0_5306,plain,
( composition(converse(top),complement(A)) != composition(top,complement(A))
| converse(composition(complement(converse(A)),top)) = composition(top,complement(A)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(A)),top)),composition(converse(top),complement(A))) )],[refute_0_5304,refute_0_5305]) ).
cnf(refute_0_5307,plain,
converse(composition(complement(converse(A)),top)) = composition(top,complement(A)),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(A)),composition(top,complement(A))) )],[refute_0_5299,refute_0_5306]) ).
cnf(refute_0_5308,plain,
complement(converse(composition(complement(converse(A)),top))) = complement(converse(composition(complement(converse(A)),top))),
introduced(tautology,[refl,[$fot(complement(converse(composition(complement(converse(A)),top))))]]) ).
cnf(refute_0_5309,plain,
( complement(converse(composition(complement(converse(A)),top))) != complement(converse(composition(complement(converse(A)),top)))
| converse(composition(complement(converse(A)),top)) != composition(top,complement(A))
| complement(converse(composition(complement(converse(A)),top))) = complement(composition(top,complement(A))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(complement(converse(A)),top))),complement(converse(composition(complement(converse(A)),top)))) ),[1,0],$fot(composition(top,complement(A)))]]) ).
cnf(refute_0_5310,plain,
( converse(composition(complement(converse(A)),top)) != composition(top,complement(A))
| complement(converse(composition(complement(converse(A)),top))) = complement(composition(top,complement(A))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(converse(A)),top))),complement(converse(composition(complement(converse(A)),top)))) )],[refute_0_5308,refute_0_5309]) ).
cnf(refute_0_5311,plain,
complement(converse(composition(complement(converse(A)),top))) = complement(composition(top,complement(A))),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(A)),top)),composition(top,complement(A))) )],[refute_0_5307,refute_0_5310]) ).
cnf(refute_0_5312,plain,
composition(top,complement(composition(top,converse(X_332)))) = complement(composition(top,converse(X_332))),
inference(subst,[],[refute_0_2925:[bind(X_161,$fot(converse(X_332)))]]) ).
cnf(refute_0_5313,plain,
( composition(top,complement(composition(top,converse(X_332)))) != complement(composition(top,converse(X_332)))
| composition(top,converse(X_332)) != converse(composition(X_332,top))
| composition(top,complement(converse(composition(X_332,top)))) = complement(composition(top,converse(X_332))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(top,converse(X_332)))),complement(composition(top,converse(X_332)))) ),[0,1,0],$fot(converse(composition(X_332,top)))]]) ).
cnf(refute_0_5314,plain,
( composition(top,complement(composition(top,converse(X_332)))) != complement(composition(top,converse(X_332)))
| composition(top,complement(converse(composition(X_332,top)))) = complement(composition(top,converse(X_332))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_332)),converse(composition(X_332,top))) )],[refute_0_2588,refute_0_5313]) ).
cnf(refute_0_5315,plain,
composition(top,complement(converse(composition(X_332,top)))) = complement(composition(top,converse(X_332))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,converse(X_332)))),complement(composition(top,converse(X_332)))) )],[refute_0_5312,refute_0_5314]) ).
cnf(refute_0_5316,plain,
complement(composition(top,converse(X_332))) = complement(composition(top,converse(X_332))),
introduced(tautology,[refl,[$fot(complement(composition(top,converse(X_332))))]]) ).
cnf(refute_0_5317,plain,
( complement(composition(top,converse(X_332))) != complement(composition(top,converse(X_332)))
| composition(top,converse(X_332)) != converse(composition(X_332,top))
| complement(composition(top,converse(X_332))) = complement(converse(composition(X_332,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,converse(X_332))),complement(composition(top,converse(X_332)))) ),[1,0],$fot(converse(composition(X_332,top)))]]) ).
cnf(refute_0_5318,plain,
( composition(top,converse(X_332)) != converse(composition(X_332,top))
| complement(composition(top,converse(X_332))) = complement(converse(composition(X_332,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,converse(X_332))),complement(composition(top,converse(X_332)))) )],[refute_0_5316,refute_0_5317]) ).
cnf(refute_0_5319,plain,
complement(composition(top,converse(X_332))) = complement(converse(composition(X_332,top))),
inference(resolve,[$cnf( $equal(composition(top,converse(X_332)),converse(composition(X_332,top))) )],[refute_0_2588,refute_0_5318]) ).
cnf(refute_0_5320,plain,
( complement(composition(top,converse(X_332))) != complement(converse(composition(X_332,top)))
| composition(top,complement(converse(composition(X_332,top)))) != complement(composition(top,converse(X_332)))
| composition(top,complement(converse(composition(X_332,top)))) = complement(converse(composition(X_332,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(X_332,top)))),complement(composition(top,converse(X_332)))) ),[1],$fot(complement(converse(composition(X_332,top))))]]) ).
cnf(refute_0_5321,plain,
( composition(top,complement(converse(composition(X_332,top)))) != complement(composition(top,converse(X_332)))
| composition(top,complement(converse(composition(X_332,top)))) = complement(converse(composition(X_332,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,converse(X_332))),complement(converse(composition(X_332,top)))) )],[refute_0_5319,refute_0_5320]) ).
cnf(refute_0_5322,plain,
composition(top,complement(converse(composition(X_332,top)))) = complement(converse(composition(X_332,top))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(X_332,top)))),complement(composition(top,converse(X_332)))) )],[refute_0_5315,refute_0_5321]) ).
cnf(refute_0_5323,plain,
composition(top,complement(converse(composition(X_332,top)))) = converse(composition(complement(composition(X_332,top)),top)),
inference(subst,[],[refute_0_3352:[bind(X_183,$fot(composition(X_332,top)))]]) ).
cnf(refute_0_5324,plain,
( composition(top,complement(converse(composition(X_332,top)))) != complement(converse(composition(X_332,top)))
| composition(top,complement(converse(composition(X_332,top)))) != converse(composition(complement(composition(X_332,top)),top))
| converse(composition(complement(composition(X_332,top)),top)) = complement(converse(composition(X_332,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(X_332,top)))),complement(converse(composition(X_332,top)))) ),[0],$fot(converse(composition(complement(composition(X_332,top)),top)))]]) ).
cnf(refute_0_5325,plain,
( composition(top,complement(converse(composition(X_332,top)))) != complement(converse(composition(X_332,top)))
| converse(composition(complement(composition(X_332,top)),top)) = complement(converse(composition(X_332,top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(X_332,top)))),converse(composition(complement(composition(X_332,top)),top))) )],[refute_0_5323,refute_0_5324]) ).
cnf(refute_0_5326,plain,
converse(composition(complement(composition(X_332,top)),top)) = complement(converse(composition(X_332,top))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(X_332,top)))),complement(converse(composition(X_332,top)))) )],[refute_0_5322,refute_0_5325]) ).
cnf(refute_0_5327,plain,
converse(composition(complement(composition(complement(converse(A)),top)),top)) = complement(converse(composition(complement(converse(A)),top))),
inference(subst,[],[refute_0_5326:[bind(X_332,$fot(complement(converse(A))))]]) ).
cnf(refute_0_5328,plain,
( complement(converse(composition(complement(converse(A)),top))) != complement(composition(top,complement(A)))
| converse(composition(complement(composition(complement(converse(A)),top)),top)) != complement(converse(composition(complement(converse(A)),top)))
| converse(composition(complement(composition(complement(converse(A)),top)),top)) = complement(composition(top,complement(A))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(complement(composition(complement(converse(A)),top)),top)))),bind(Y,$fot(complement(converse(composition(complement(converse(A)),top))))),bind(Z,$fot(complement(composition(top,complement(A)))))]]) ).
cnf(refute_0_5329,plain,
( complement(converse(composition(complement(converse(A)),top))) != complement(composition(top,complement(A)))
| converse(composition(complement(composition(complement(converse(A)),top)),top)) = complement(composition(top,complement(A))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(converse(A)),top)),top)),complement(converse(composition(complement(converse(A)),top)))) )],[refute_0_5327,refute_0_5328]) ).
cnf(refute_0_5330,plain,
converse(composition(complement(composition(complement(converse(A)),top)),top)) = complement(composition(top,complement(A))),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(converse(A)),top))),complement(composition(top,complement(A)))) )],[refute_0_5311,refute_0_5329]) ).
cnf(refute_0_5331,plain,
join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))) = join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))),
introduced(tautology,[refl,[$fot(join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))))]]) ).
cnf(refute_0_5332,plain,
( converse(composition(complement(composition(complement(converse(A)),top)),top)) != complement(composition(top,complement(A)))
| join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))) != join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))
| join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))) = join(A,complement(composition(top,complement(A)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))),join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))) ),[1,1],$fot(complement(composition(top,complement(A))))]]) ).
cnf(refute_0_5333,plain,
( converse(composition(complement(composition(complement(converse(A)),top)),top)) != complement(composition(top,complement(A)))
| join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))) = join(A,complement(composition(top,complement(A)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))),join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))) )],[refute_0_5331,refute_0_5332]) ).
cnf(refute_0_5334,plain,
join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))) = join(A,complement(composition(top,complement(A)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(converse(A)),top)),top)),complement(composition(top,complement(A)))) )],[refute_0_5330,refute_0_5333]) ).
cnf(refute_0_5335,plain,
( A != join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))
| join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))) != join(A,complement(composition(top,complement(A))))
| A = join(A,complement(composition(top,complement(A)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,join(A,complement(composition(top,complement(A))))) ),[0],$fot(join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))))]]) ).
cnf(refute_0_5336,plain,
( A != join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))
| A = join(A,complement(composition(top,complement(A)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(composition(complement(composition(complement(converse(A)),top)),top))),join(A,complement(composition(top,complement(A))))) )],[refute_0_5334,refute_0_5335]) ).
cnf(refute_0_5337,plain,
( converse(converse(A)) != join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))
| A = join(A,complement(composition(top,complement(A)))) ),
inference(resolve,[$cnf( $equal(A,join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))) )],[refute_0_5295,refute_0_5336]) ).
cnf(refute_0_5338,plain,
A = join(A,complement(composition(top,complement(A)))),
inference(resolve,[$cnf( $equal(converse(converse(A)),join(A,converse(composition(complement(composition(complement(converse(A)),top)),top)))) )],[refute_0_5293,refute_0_5337]) ).
cnf(refute_0_5339,plain,
converse(A) = join(converse(A),complement(composition(top,complement(converse(A))))),
inference(subst,[],[refute_0_5338:[bind(A,$fot(converse(A)))]]) ).
cnf(refute_0_5340,plain,
( converse(A) != join(converse(A),complement(composition(top,complement(converse(A)))))
| join(converse(A),complement(composition(top,complement(converse(A))))) = converse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(A))),bind(Y,$fot(join(converse(A),complement(composition(top,complement(converse(A)))))))]]) ).
cnf(refute_0_5341,plain,
join(converse(A),complement(composition(top,complement(converse(A))))) = converse(A),
inference(resolve,[$cnf( $equal(converse(A),join(converse(A),complement(composition(top,complement(converse(A)))))) )],[refute_0_5339,refute_0_5340]) ).
cnf(refute_0_5342,plain,
( converse(join(converse(A),complement(composition(top,complement(converse(A)))))) != join(A,converse(complement(composition(top,complement(converse(A))))))
| join(converse(A),complement(composition(top,complement(converse(A))))) != converse(A)
| converse(converse(A)) = join(A,converse(complement(composition(top,complement(converse(A)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),complement(composition(top,complement(converse(A)))))),join(A,converse(complement(composition(top,complement(converse(A))))))) ),[0,0],$fot(converse(A))]]) ).
cnf(refute_0_5343,plain,
( converse(join(converse(A),complement(composition(top,complement(converse(A)))))) != join(A,converse(complement(composition(top,complement(converse(A))))))
| converse(converse(A)) = join(A,converse(complement(composition(top,complement(converse(A)))))) ),
inference(resolve,[$cnf( $equal(join(converse(A),complement(composition(top,complement(converse(A))))),converse(A)) )],[refute_0_5341,refute_0_5342]) ).
cnf(refute_0_5344,plain,
converse(converse(A)) = join(A,converse(complement(composition(top,complement(converse(A)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),complement(composition(top,complement(converse(A)))))),join(A,converse(complement(composition(top,complement(converse(A))))))) )],[refute_0_5255,refute_0_5343]) ).
cnf(refute_0_5345,plain,
( converse(converse(A)) != A
| converse(converse(A)) != join(A,converse(complement(composition(top,complement(converse(A))))))
| A = join(A,converse(complement(composition(top,complement(converse(A)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(A)),join(A,converse(complement(composition(top,complement(converse(A))))))) ),[0],$fot(A)]]) ).
cnf(refute_0_5346,plain,
( converse(converse(A)) != join(A,converse(complement(composition(top,complement(converse(A))))))
| A = join(A,converse(complement(composition(top,complement(converse(A)))))) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_5345]) ).
cnf(refute_0_5347,plain,
composition(complement(A),converse(top)) = composition(complement(A),converse(top)),
introduced(tautology,[refl,[$fot(composition(complement(A),converse(top)))]]) ).
cnf(refute_0_5348,plain,
( composition(complement(A),converse(top)) != composition(complement(A),converse(top))
| converse(top) != top
| composition(complement(A),converse(top)) = composition(complement(A),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(A),converse(top)),composition(complement(A),converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5349,plain,
( converse(top) != top
| composition(complement(A),converse(top)) = composition(complement(A),top) ),
inference(resolve,[$cnf( $equal(composition(complement(A),converse(top)),composition(complement(A),converse(top))) )],[refute_0_5347,refute_0_5348]) ).
cnf(refute_0_5350,plain,
composition(complement(A),converse(top)) = composition(complement(A),top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_5349]) ).
cnf(refute_0_5351,plain,
converse(composition(X_34,converse(complement(X_324)))) = composition(complement(X_324),converse(X_34)),
inference(subst,[],[refute_0_104:[bind(A,$fot(complement(X_324)))]]) ).
cnf(refute_0_5352,plain,
( converse(complement(X_324)) != complement(converse(X_324))
| converse(composition(X_34,converse(complement(X_324)))) != composition(complement(X_324),converse(X_34))
| converse(composition(X_34,complement(converse(X_324)))) = composition(complement(X_324),converse(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_34,converse(complement(X_324)))),composition(complement(X_324),converse(X_34))) ),[0,0,1],$fot(complement(converse(X_324)))]]) ).
cnf(refute_0_5353,plain,
( converse(composition(X_34,converse(complement(X_324)))) != composition(complement(X_324),converse(X_34))
| converse(composition(X_34,complement(converse(X_324)))) = composition(complement(X_324),converse(X_34)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_324)),complement(converse(X_324))) )],[refute_0_3182,refute_0_5352]) ).
cnf(refute_0_5354,plain,
converse(composition(X_34,complement(converse(X_324)))) = composition(complement(X_324),converse(X_34)),
inference(resolve,[$cnf( $equal(converse(composition(X_34,converse(complement(X_324)))),composition(complement(X_324),converse(X_34))) )],[refute_0_5351,refute_0_5353]) ).
cnf(refute_0_5355,plain,
converse(composition(top,complement(converse(A)))) = composition(complement(A),converse(top)),
inference(subst,[],[refute_0_5354:[bind(X_324,$fot(A)),bind(X_34,$fot(top))]]) ).
cnf(refute_0_5356,plain,
( composition(complement(A),converse(top)) != composition(complement(A),top)
| converse(composition(top,complement(converse(A)))) != composition(complement(A),converse(top))
| converse(composition(top,complement(converse(A)))) = composition(complement(A),top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,complement(converse(A)))))),bind(Y,$fot(composition(complement(A),converse(top)))),bind(Z,$fot(composition(complement(A),top)))]]) ).
cnf(refute_0_5357,plain,
( composition(complement(A),converse(top)) != composition(complement(A),top)
| converse(composition(top,complement(converse(A)))) = composition(complement(A),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(A)))),composition(complement(A),converse(top))) )],[refute_0_5355,refute_0_5356]) ).
cnf(refute_0_5358,plain,
converse(composition(top,complement(converse(A)))) = composition(complement(A),top),
inference(resolve,[$cnf( $equal(composition(complement(A),converse(top)),composition(complement(A),top)) )],[refute_0_5350,refute_0_5357]) ).
cnf(refute_0_5359,plain,
complement(converse(composition(top,complement(converse(A))))) = complement(converse(composition(top,complement(converse(A))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(converse(A))))))]]) ).
cnf(refute_0_5360,plain,
( complement(converse(composition(top,complement(converse(A))))) != complement(converse(composition(top,complement(converse(A)))))
| converse(composition(top,complement(converse(A)))) != composition(complement(A),top)
| complement(converse(composition(top,complement(converse(A))))) = complement(composition(complement(A),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(converse(A))))),complement(converse(composition(top,complement(converse(A)))))) ),[1,0],$fot(composition(complement(A),top))]]) ).
cnf(refute_0_5361,plain,
( converse(composition(top,complement(converse(A)))) != composition(complement(A),top)
| complement(converse(composition(top,complement(converse(A))))) = complement(composition(complement(A),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(A))))),complement(converse(composition(top,complement(converse(A)))))) )],[refute_0_5359,refute_0_5360]) ).
cnf(refute_0_5362,plain,
complement(converse(composition(top,complement(converse(A))))) = complement(composition(complement(A),top)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(A)))),composition(complement(A),top)) )],[refute_0_5358,refute_0_5361]) ).
cnf(refute_0_5363,plain,
converse(complement(composition(top,complement(converse(A))))) = complement(converse(composition(top,complement(converse(A))))),
inference(subst,[],[refute_0_2565:[bind(X_183,$fot(composition(top,complement(converse(A)))))]]) ).
cnf(refute_0_5364,plain,
( complement(converse(composition(top,complement(converse(A))))) != complement(composition(complement(A),top))
| converse(complement(composition(top,complement(converse(A))))) != complement(converse(composition(top,complement(converse(A)))))
| converse(complement(composition(top,complement(converse(A))))) = complement(composition(complement(A),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(complement(composition(top,complement(converse(A))))))),bind(Y,$fot(complement(converse(composition(top,complement(converse(A))))))),bind(Z,$fot(complement(composition(complement(A),top))))]]) ).
cnf(refute_0_5365,plain,
( complement(converse(composition(top,complement(converse(A))))) != complement(composition(complement(A),top))
| converse(complement(composition(top,complement(converse(A))))) = complement(composition(complement(A),top)) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(converse(A))))),complement(converse(composition(top,complement(converse(A)))))) )],[refute_0_5363,refute_0_5364]) ).
cnf(refute_0_5366,plain,
converse(complement(composition(top,complement(converse(A))))) = complement(composition(complement(A),top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(A))))),complement(composition(complement(A),top))) )],[refute_0_5362,refute_0_5365]) ).
cnf(refute_0_5367,plain,
join(A,converse(complement(composition(top,complement(converse(A)))))) = join(A,converse(complement(composition(top,complement(converse(A)))))),
introduced(tautology,[refl,[$fot(join(A,converse(complement(composition(top,complement(converse(A)))))))]]) ).
cnf(refute_0_5368,plain,
( converse(complement(composition(top,complement(converse(A))))) != complement(composition(complement(A),top))
| join(A,converse(complement(composition(top,complement(converse(A)))))) != join(A,converse(complement(composition(top,complement(converse(A))))))
| join(A,converse(complement(composition(top,complement(converse(A)))))) = join(A,complement(composition(complement(A),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(complement(composition(top,complement(converse(A)))))),join(A,converse(complement(composition(top,complement(converse(A))))))) ),[1,1],$fot(complement(composition(complement(A),top)))]]) ).
cnf(refute_0_5369,plain,
( converse(complement(composition(top,complement(converse(A))))) != complement(composition(complement(A),top))
| join(A,converse(complement(composition(top,complement(converse(A)))))) = join(A,complement(composition(complement(A),top))) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(composition(top,complement(converse(A)))))),join(A,converse(complement(composition(top,complement(converse(A))))))) )],[refute_0_5367,refute_0_5368]) ).
cnf(refute_0_5370,plain,
join(A,converse(complement(composition(top,complement(converse(A)))))) = join(A,complement(composition(complement(A),top))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(converse(A))))),complement(composition(complement(A),top))) )],[refute_0_5366,refute_0_5369]) ).
cnf(refute_0_5371,plain,
( A != join(A,converse(complement(composition(top,complement(converse(A))))))
| join(A,converse(complement(composition(top,complement(converse(A)))))) != join(A,complement(composition(complement(A),top)))
| A = join(A,complement(composition(complement(A),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,join(A,complement(composition(complement(A),top)))) ),[0],$fot(join(A,converse(complement(composition(top,complement(converse(A)))))))]]) ).
cnf(refute_0_5372,plain,
( A != join(A,converse(complement(composition(top,complement(converse(A))))))
| A = join(A,complement(composition(complement(A),top))) ),
inference(resolve,[$cnf( $equal(join(A,converse(complement(composition(top,complement(converse(A)))))),join(A,complement(composition(complement(A),top)))) )],[refute_0_5370,refute_0_5371]) ).
cnf(refute_0_5373,plain,
( converse(converse(A)) != join(A,converse(complement(composition(top,complement(converse(A))))))
| A = join(A,complement(composition(complement(A),top))) ),
inference(resolve,[$cnf( $equal(A,join(A,converse(complement(composition(top,complement(converse(A))))))) )],[refute_0_5346,refute_0_5372]) ).
cnf(refute_0_5374,plain,
A = join(A,complement(composition(complement(A),top))),
inference(resolve,[$cnf( $equal(converse(converse(A)),join(A,converse(complement(composition(top,complement(converse(A))))))) )],[refute_0_5344,refute_0_5373]) ).
cnf(refute_0_5375,plain,
( A != join(A,complement(composition(complement(A),top)))
| join(A,complement(composition(complement(A),top))) = A ),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(join(A,complement(composition(complement(A),top)))))]]) ).
cnf(refute_0_5376,plain,
join(A,complement(composition(complement(A),top))) = A,
inference(resolve,[$cnf( $equal(A,join(A,complement(composition(complement(A),top)))) )],[refute_0_5374,refute_0_5375]) ).
cnf(refute_0_5377,plain,
join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) = composition(X_35,top),
inference(subst,[],[refute_0_5376:[bind(A,$fot(composition(X_35,top)))]]) ).
cnf(refute_0_5378,plain,
( join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) != complement(composition(complement(composition(X_35,top)),top))
| join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) != composition(X_35,top)
| composition(X_35,top) = complement(composition(complement(composition(X_35,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))),complement(composition(complement(composition(X_35,top)),top))) ),[0],$fot(composition(X_35,top))]]) ).
cnf(refute_0_5379,plain,
( join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))) != complement(composition(complement(composition(X_35,top)),top))
| composition(X_35,top) = complement(composition(complement(composition(X_35,top)),top)) ),
inference(resolve,[$cnf( $equal(join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))),composition(X_35,top)) )],[refute_0_5377,refute_0_5378]) ).
cnf(refute_0_5380,plain,
composition(X_35,top) = complement(composition(complement(composition(X_35,top)),top)),
inference(resolve,[$cnf( $equal(join(composition(X_35,top),complement(composition(complement(composition(X_35,top)),top))),complement(composition(complement(composition(X_35,top)),top))) )],[refute_0_5254,refute_0_5379]) ).
cnf(refute_0_5381,plain,
composition(X_949,top) = complement(composition(complement(composition(X_949,top)),top)),
inference(subst,[],[refute_0_5380:[bind(X_35,$fot(X_949))]]) ).
cnf(refute_0_5382,plain,
( composition(X_949,top) != complement(composition(complement(composition(X_949,top)),top))
| complement(composition(complement(composition(X_949,top)),top)) = composition(X_949,top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(X_949,top))),bind(Y,$fot(complement(composition(complement(composition(X_949,top)),top))))]]) ).
cnf(refute_0_5383,plain,
complement(composition(complement(composition(X_949,top)),top)) = composition(X_949,top),
inference(resolve,[$cnf( $equal(composition(X_949,top),complement(composition(complement(composition(X_949,top)),top))) )],[refute_0_5381,refute_0_5382]) ).
cnf(refute_0_5384,plain,
( complement(composition(complement(composition(X_949,top)),top)) != composition(X_949,top)
| composition(complement(composition(X_949,top)),top) != join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(complement(composition(complement(composition(X_949,top)),top)),top))))
| composition(complement(composition(X_949,top)),top) = join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_949,top)),top),join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(complement(composition(complement(composition(X_949,top)),top)),top))))) ),[1,1,0,1,0],$fot(composition(X_949,top))]]) ).
cnf(refute_0_5385,plain,
( composition(complement(composition(X_949,top)),top) != join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(complement(composition(complement(composition(X_949,top)),top)),top))))
| composition(complement(composition(X_949,top)),top) = join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(X_949,top)),top)),composition(X_949,top)) )],[refute_0_5383,refute_0_5384]) ).
cnf(refute_0_5386,plain,
composition(complement(composition(X_949,top)),top) = join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_949,top)),top),join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(complement(composition(complement(composition(X_949,top)),top)),top))))) )],[refute_0_5217,refute_0_5385]) ).
cnf(refute_0_5387,plain,
X_155 = meet(X_155,composition(join(X_154,one),X_155)),
inference(subst,[],[refute_0_4104:[bind(X_150,$fot(X_154)),bind(X_41,$fot(X_155))]]) ).
cnf(refute_0_5388,plain,
join(one,X_154) = join(X_154,one),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(one)),bind(B,$fot(X_154))]]) ).
cnf(refute_0_5389,plain,
( join(one,X_154) != join(X_154,one)
| join(X_154,one) = join(one,X_154) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(one,X_154))),bind(Y,$fot(join(X_154,one)))]]) ).
cnf(refute_0_5390,plain,
join(X_154,one) = join(one,X_154),
inference(resolve,[$cnf( $equal(join(one,X_154),join(X_154,one)) )],[refute_0_5388,refute_0_5389]) ).
cnf(refute_0_5391,plain,
( X_155 != meet(X_155,composition(join(X_154,one),X_155))
| join(X_154,one) != join(one,X_154)
| X_155 = meet(X_155,composition(join(one,X_154),X_155)) ),
introduced(tautology,[equality,[$cnf( $equal(X_155,meet(X_155,composition(join(X_154,one),X_155))) ),[1,1,0],$fot(join(one,X_154))]]) ).
cnf(refute_0_5392,plain,
( X_155 != meet(X_155,composition(join(X_154,one),X_155))
| X_155 = meet(X_155,composition(join(one,X_154),X_155)) ),
inference(resolve,[$cnf( $equal(join(X_154,one),join(one,X_154)) )],[refute_0_5390,refute_0_5391]) ).
cnf(refute_0_5393,plain,
X_155 = meet(X_155,composition(join(one,X_154),X_155)),
inference(resolve,[$cnf( $equal(X_155,meet(X_155,composition(join(X_154,one),X_155))) )],[refute_0_5387,refute_0_5392]) ).
cnf(refute_0_5394,plain,
X_189 = meet(X_189,composition(join(one,complement(one)),X_189)),
inference(subst,[],[refute_0_5393:[bind(X_154,$fot(complement(one))),bind(X_155,$fot(X_189))]]) ).
cnf(refute_0_5395,plain,
( X_189 != meet(X_189,composition(join(one,complement(one)),X_189))
| join(one,complement(one)) != top
| X_189 = meet(X_189,composition(top,X_189)) ),
introduced(tautology,[equality,[$cnf( $equal(X_189,meet(X_189,composition(join(one,complement(one)),X_189))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_5396,plain,
( X_189 != meet(X_189,composition(join(one,complement(one)),X_189))
| X_189 = meet(X_189,composition(top,X_189)) ),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_3547,refute_0_5395]) ).
cnf(refute_0_5397,plain,
X_189 = meet(X_189,composition(top,X_189)),
inference(resolve,[$cnf( $equal(X_189,meet(X_189,composition(join(one,complement(one)),X_189))) )],[refute_0_5394,refute_0_5396]) ).
cnf(refute_0_5398,plain,
( X_189 != meet(X_189,composition(top,X_189))
| meet(X_189,composition(top,X_189)) = X_189 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_189)),bind(Y,$fot(meet(X_189,composition(top,X_189))))]]) ).
cnf(refute_0_5399,plain,
meet(X_189,composition(top,X_189)) = X_189,
inference(resolve,[$cnf( $equal(X_189,meet(X_189,composition(top,X_189))) )],[refute_0_5397,refute_0_5398]) ).
cnf(refute_0_5400,plain,
meet(composition(X_949,top),composition(top,composition(X_949,top))) = composition(X_949,top),
inference(subst,[],[refute_0_5399:[bind(X_189,$fot(composition(X_949,top)))]]) ).
cnf(refute_0_5401,plain,
complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))) = complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))),
introduced(tautology,[refl,[$fot(complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))))]]) ).
cnf(refute_0_5402,plain,
( complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))) != complement(meet(composition(X_949,top),composition(top,composition(X_949,top))))
| meet(composition(X_949,top),composition(top,composition(X_949,top))) != composition(X_949,top)
| complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))) = complement(composition(X_949,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))),complement(meet(composition(X_949,top),composition(top,composition(X_949,top))))) ),[1,0],$fot(composition(X_949,top))]]) ).
cnf(refute_0_5403,plain,
( meet(composition(X_949,top),composition(top,composition(X_949,top))) != composition(X_949,top)
| complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))) = complement(composition(X_949,top)) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))),complement(meet(composition(X_949,top),composition(top,composition(X_949,top))))) )],[refute_0_5401,refute_0_5402]) ).
cnf(refute_0_5404,plain,
complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))) = complement(composition(X_949,top)),
inference(resolve,[$cnf( $equal(meet(composition(X_949,top),composition(top,composition(X_949,top))),composition(X_949,top)) )],[refute_0_5400,refute_0_5403]) ).
cnf(refute_0_5405,plain,
meet(X_51,X_52) = meet(X_52,X_51),
inference(subst,[],[refute_0_192:[bind(X_15,$fot(X_51)),bind(X_16,$fot(X_52))]]) ).
cnf(refute_0_5406,plain,
( meet(X_51,X_52) != meet(X_52,X_51)
| meet(X_52,X_51) = meet(X_51,X_52) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_51,X_52))),bind(Y,$fot(meet(X_52,X_51)))]]) ).
cnf(refute_0_5407,plain,
meet(X_52,X_51) = meet(X_51,X_52),
inference(resolve,[$cnf( $equal(meet(X_51,X_52),meet(X_52,X_51)) )],[refute_0_5405,refute_0_5406]) ).
cnf(refute_0_5408,plain,
( X_52 != join(meet(X_52,X_51),meet(X_52,complement(X_51)))
| meet(X_52,X_51) != meet(X_51,X_52)
| X_52 = join(meet(X_51,X_52),meet(X_52,complement(X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(X_52,join(meet(X_52,X_51),meet(X_52,complement(X_51)))) ),[1,0],$fot(meet(X_51,X_52))]]) ).
cnf(refute_0_5409,plain,
( X_52 != join(meet(X_52,X_51),meet(X_52,complement(X_51)))
| X_52 = join(meet(X_51,X_52),meet(X_52,complement(X_51))) ),
inference(resolve,[$cnf( $equal(meet(X_52,X_51),meet(X_51,X_52)) )],[refute_0_5407,refute_0_5408]) ).
cnf(refute_0_5410,plain,
X_52 = join(meet(X_51,X_52),meet(X_52,complement(X_51))),
inference(resolve,[$cnf( $equal(X_52,join(meet(X_52,X_51),meet(X_52,complement(X_51)))) )],[refute_0_181,refute_0_5409]) ).
cnf(refute_0_5411,plain,
complement(meet(X_764,X_765)) = join(meet(meet(X_765,X_764),complement(meet(X_764,X_765))),meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))),
inference(subst,[],[refute_0_5410:[bind(X_51,$fot(meet(X_765,X_764))),bind(X_52,$fot(complement(meet(X_764,X_765))))]]) ).
cnf(refute_0_5412,plain,
meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) = complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))),
inference(subst,[],[refute_0_1843:[bind(X_25,$fot(meet(X_762,X_763))),bind(X_615,$fot(complement(meet(X_763,X_762))))]]) ).
cnf(refute_0_5413,plain,
converse(join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) = join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))),
inference(subst,[],[refute_0_93:[bind(X_5,$fot(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))]]) ).
cnf(refute_0_5414,plain,
converse(top) = join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29))))),
inference(subst,[],[refute_0_694:[bind(A,$fot(X_29)),bind(X_4,$fot(converse(A)))]]) ).
cnf(refute_0_5415,plain,
( converse(top) != join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29)))))
| join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29))))) = converse(top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29)))))))]]) ).
cnf(refute_0_5416,plain,
join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) )],[refute_0_5414,refute_0_5415]) ).
cnf(refute_0_5417,plain,
( converse(join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) != join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))
| join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29))))) != converse(top)
| converse(converse(top)) = join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29)))))),join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))) ),[0,0],$fot(converse(top))]]) ).
cnf(refute_0_5418,plain,
( converse(join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) != join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))
| converse(converse(top)) = join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29))))),converse(top)) )],[refute_0_5416,refute_0_5417]) ).
cnf(refute_0_5419,plain,
converse(converse(top)) = join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(A),converse(join(X_29,complement(join(converse(converse(A)),X_29)))))),join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))) )],[refute_0_5413,refute_0_5418]) ).
cnf(refute_0_5420,plain,
( converse(converse(top)) != join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))
| converse(converse(top)) != top
| top = join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_5421,plain,
( converse(converse(top)) != join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))
| top = join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_745,refute_0_5420]) ).
cnf(refute_0_5422,plain,
join(converse(converse(A)),X_29) = join(converse(converse(A)),X_29),
introduced(tautology,[refl,[$fot(join(converse(converse(A)),X_29))]]) ).
cnf(refute_0_5423,plain,
( converse(converse(A)) != A
| join(converse(converse(A)),X_29) != join(converse(converse(A)),X_29)
| join(converse(converse(A)),X_29) = join(A,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(A)),X_29),join(converse(converse(A)),X_29)) ),[1,0],$fot(A)]]) ).
cnf(refute_0_5424,plain,
( converse(converse(A)) != A
| join(converse(converse(A)),X_29) = join(A,X_29) ),
inference(resolve,[$cnf( $equal(join(converse(converse(A)),X_29),join(converse(converse(A)),X_29)) )],[refute_0_5422,refute_0_5423]) ).
cnf(refute_0_5425,plain,
join(converse(converse(A)),X_29) = join(A,X_29),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_5424]) ).
cnf(refute_0_5426,plain,
complement(join(converse(converse(A)),X_29)) = complement(join(converse(converse(A)),X_29)),
introduced(tautology,[refl,[$fot(complement(join(converse(converse(A)),X_29)))]]) ).
cnf(refute_0_5427,plain,
( complement(join(converse(converse(A)),X_29)) != complement(join(converse(converse(A)),X_29))
| join(converse(converse(A)),X_29) != join(A,X_29)
| complement(join(converse(converse(A)),X_29)) = complement(join(A,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(converse(A)),X_29)),complement(join(converse(converse(A)),X_29))) ),[1,0],$fot(join(A,X_29))]]) ).
cnf(refute_0_5428,plain,
( join(converse(converse(A)),X_29) != join(A,X_29)
| complement(join(converse(converse(A)),X_29)) = complement(join(A,X_29)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(converse(A)),X_29)),complement(join(converse(converse(A)),X_29))) )],[refute_0_5426,refute_0_5427]) ).
cnf(refute_0_5429,plain,
complement(join(converse(converse(A)),X_29)) = complement(join(A,X_29)),
inference(resolve,[$cnf( $equal(join(converse(converse(A)),X_29),join(A,X_29)) )],[refute_0_5425,refute_0_5428]) ).
cnf(refute_0_5430,plain,
join(X_29,complement(join(converse(converse(A)),X_29))) = join(X_29,complement(join(converse(converse(A)),X_29))),
introduced(tautology,[refl,[$fot(join(X_29,complement(join(converse(converse(A)),X_29))))]]) ).
cnf(refute_0_5431,plain,
( complement(join(converse(converse(A)),X_29)) != complement(join(A,X_29))
| join(X_29,complement(join(converse(converse(A)),X_29))) != join(X_29,complement(join(converse(converse(A)),X_29)))
| join(X_29,complement(join(converse(converse(A)),X_29))) = join(X_29,complement(join(A,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_29,complement(join(converse(converse(A)),X_29))),join(X_29,complement(join(converse(converse(A)),X_29)))) ),[1,1],$fot(complement(join(A,X_29)))]]) ).
cnf(refute_0_5432,plain,
( complement(join(converse(converse(A)),X_29)) != complement(join(A,X_29))
| join(X_29,complement(join(converse(converse(A)),X_29))) = join(X_29,complement(join(A,X_29))) ),
inference(resolve,[$cnf( $equal(join(X_29,complement(join(converse(converse(A)),X_29))),join(X_29,complement(join(converse(converse(A)),X_29)))) )],[refute_0_5430,refute_0_5431]) ).
cnf(refute_0_5433,plain,
join(X_29,complement(join(converse(converse(A)),X_29))) = join(X_29,complement(join(A,X_29))),
inference(resolve,[$cnf( $equal(complement(join(converse(converse(A)),X_29)),complement(join(A,X_29))) )],[refute_0_5429,refute_0_5432]) ).
cnf(refute_0_5434,plain,
converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))) = join(X_29,complement(join(converse(converse(A)),X_29))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(X_29,complement(join(converse(converse(A)),X_29)))))]]) ).
cnf(refute_0_5435,plain,
( converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))) != join(X_29,complement(join(converse(converse(A)),X_29)))
| join(X_29,complement(join(converse(converse(A)),X_29))) != join(X_29,complement(join(A,X_29)))
| converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))) = join(X_29,complement(join(A,X_29))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))),bind(Y,$fot(join(X_29,complement(join(converse(converse(A)),X_29))))),bind(Z,$fot(join(X_29,complement(join(A,X_29)))))]]) ).
cnf(refute_0_5436,plain,
( join(X_29,complement(join(converse(converse(A)),X_29))) != join(X_29,complement(join(A,X_29)))
| converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))) = join(X_29,complement(join(A,X_29))) ),
inference(resolve,[$cnf( $equal(converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))),join(X_29,complement(join(converse(converse(A)),X_29)))) )],[refute_0_5434,refute_0_5435]) ).
cnf(refute_0_5437,plain,
converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))) = join(X_29,complement(join(A,X_29))),
inference(resolve,[$cnf( $equal(join(X_29,complement(join(converse(converse(A)),X_29))),join(X_29,complement(join(A,X_29)))) )],[refute_0_5433,refute_0_5436]) ).
cnf(refute_0_5438,plain,
join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) = join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))),
introduced(tautology,[refl,[$fot(join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))))]]) ).
cnf(refute_0_5439,plain,
( converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))) != join(X_29,complement(join(A,X_29)))
| join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) != join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))
| join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) = join(A,join(X_29,complement(join(A,X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))),join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))) ),[1,1],$fot(join(X_29,complement(join(A,X_29))))]]) ).
cnf(refute_0_5440,plain,
( converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))) != join(X_29,complement(join(A,X_29)))
| join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) = join(A,join(X_29,complement(join(A,X_29)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))),join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))) )],[refute_0_5438,refute_0_5439]) ).
cnf(refute_0_5441,plain,
join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) = join(A,join(X_29,complement(join(A,X_29)))),
inference(resolve,[$cnf( $equal(converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))),join(X_29,complement(join(A,X_29)))) )],[refute_0_5437,refute_0_5440]) ).
cnf(refute_0_5442,plain,
( join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))) != join(A,join(X_29,complement(join(A,X_29))))
| top != join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))
| top = join(A,join(X_29,complement(join(A,X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))) ),[1],$fot(join(A,join(X_29,complement(join(A,X_29)))))]]) ).
cnf(refute_0_5443,plain,
( top != join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))
| top = join(A,join(X_29,complement(join(A,X_29)))) ),
inference(resolve,[$cnf( $equal(join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29)))))),join(A,join(X_29,complement(join(A,X_29))))) )],[refute_0_5441,refute_0_5442]) ).
cnf(refute_0_5444,plain,
( converse(converse(top)) != join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))
| top = join(A,join(X_29,complement(join(A,X_29)))) ),
inference(resolve,[$cnf( $equal(top,join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))) )],[refute_0_5421,refute_0_5443]) ).
cnf(refute_0_5445,plain,
top = join(A,join(X_29,complement(join(A,X_29)))),
inference(resolve,[$cnf( $equal(converse(converse(top)),join(A,converse(converse(join(X_29,complement(join(converse(converse(A)),X_29))))))) )],[refute_0_5419,refute_0_5444]) ).
cnf(refute_0_5446,plain,
top = join(meet(A,B),join(complement(join(complement(A),B)),complement(join(meet(A,B),complement(join(complement(A),B)))))),
inference(subst,[],[refute_0_5445:[bind(A,$fot(meet(A,B))),bind(X_29,$fot(complement(join(complement(A),B))))]]) ).
cnf(refute_0_5447,plain,
( join(meet(A,B),complement(join(complement(A),B))) != A
| top != join(meet(A,B),join(complement(join(complement(A),B)),complement(join(meet(A,B),complement(join(complement(A),B))))))
| top = join(meet(A,B),join(complement(join(complement(A),B)),complement(A))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(A,B),join(complement(join(complement(A),B)),complement(join(meet(A,B),complement(join(complement(A),B))))))) ),[1,1,1,0],$fot(A)]]) ).
cnf(refute_0_5448,plain,
( top != join(meet(A,B),join(complement(join(complement(A),B)),complement(join(meet(A,B),complement(join(complement(A),B))))))
| top = join(meet(A,B),join(complement(join(complement(A),B)),complement(A))) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),complement(join(complement(A),B))),A) )],[refute_0_4723,refute_0_5447]) ).
cnf(refute_0_5449,plain,
top = join(meet(A,B),join(complement(join(complement(A),B)),complement(A))),
inference(resolve,[$cnf( $equal(top,join(meet(A,B),join(complement(join(complement(A),B)),complement(join(meet(A,B),complement(join(complement(A),B))))))) )],[refute_0_5446,refute_0_5448]) ).
cnf(refute_0_5450,plain,
meet(join(complement(A),B),A) = meet(A,join(complement(A),B)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(A)),bind(X_16,$fot(join(complement(A),B)))]]) ).
cnf(refute_0_5451,plain,
complement(meet(join(complement(A),B),A)) = complement(meet(join(complement(A),B),A)),
introduced(tautology,[refl,[$fot(complement(meet(join(complement(A),B),A)))]]) ).
cnf(refute_0_5452,plain,
( complement(meet(join(complement(A),B),A)) != complement(meet(join(complement(A),B),A))
| meet(join(complement(A),B),A) != meet(A,join(complement(A),B))
| complement(meet(join(complement(A),B),A)) = complement(meet(A,join(complement(A),B))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(complement(A),B),A)),complement(meet(join(complement(A),B),A))) ),[1,0],$fot(meet(A,join(complement(A),B)))]]) ).
cnf(refute_0_5453,plain,
( meet(join(complement(A),B),A) != meet(A,join(complement(A),B))
| complement(meet(join(complement(A),B),A)) = complement(meet(A,join(complement(A),B))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(complement(A),B),A)),complement(meet(join(complement(A),B),A))) )],[refute_0_5451,refute_0_5452]) ).
cnf(refute_0_5454,plain,
complement(meet(join(complement(A),B),A)) = complement(meet(A,join(complement(A),B))),
inference(resolve,[$cnf( $equal(meet(join(complement(A),B),A),meet(A,join(complement(A),B))) )],[refute_0_5450,refute_0_5453]) ).
cnf(refute_0_5455,plain,
join(complement(join(complement(A),B)),complement(A)) = complement(meet(join(complement(A),B),A)),
inference(subst,[],[refute_0_356:[bind(A,$fot(join(complement(A),B))),bind(B,$fot(A))]]) ).
cnf(refute_0_5456,plain,
( complement(meet(join(complement(A),B),A)) != complement(meet(A,join(complement(A),B)))
| join(complement(join(complement(A),B)),complement(A)) != complement(meet(join(complement(A),B),A))
| join(complement(join(complement(A),B)),complement(A)) = complement(meet(A,join(complement(A),B))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(join(complement(A),B)),complement(A)))),bind(Y,$fot(complement(meet(join(complement(A),B),A)))),bind(Z,$fot(complement(meet(A,join(complement(A),B)))))]]) ).
cnf(refute_0_5457,plain,
( complement(meet(join(complement(A),B),A)) != complement(meet(A,join(complement(A),B)))
| join(complement(join(complement(A),B)),complement(A)) = complement(meet(A,join(complement(A),B))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),complement(A)),complement(meet(join(complement(A),B),A))) )],[refute_0_5455,refute_0_5456]) ).
cnf(refute_0_5458,plain,
join(complement(join(complement(A),B)),complement(A)) = complement(meet(A,join(complement(A),B))),
inference(resolve,[$cnf( $equal(complement(meet(join(complement(A),B),A)),complement(meet(A,join(complement(A),B)))) )],[refute_0_5454,refute_0_5457]) ).
cnf(refute_0_5459,plain,
join(meet(A,B),join(complement(join(complement(A),B)),complement(A))) = join(meet(A,B),join(complement(join(complement(A),B)),complement(A))),
introduced(tautology,[refl,[$fot(join(meet(A,B),join(complement(join(complement(A),B)),complement(A))))]]) ).
cnf(refute_0_5460,plain,
( join(complement(join(complement(A),B)),complement(A)) != complement(meet(A,join(complement(A),B)))
| join(meet(A,B),join(complement(join(complement(A),B)),complement(A))) != join(meet(A,B),join(complement(join(complement(A),B)),complement(A)))
| join(meet(A,B),join(complement(join(complement(A),B)),complement(A))) = join(meet(A,B),complement(meet(A,join(complement(A),B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,B),join(complement(join(complement(A),B)),complement(A))),join(meet(A,B),join(complement(join(complement(A),B)),complement(A)))) ),[1,1],$fot(complement(meet(A,join(complement(A),B))))]]) ).
cnf(refute_0_5461,plain,
( join(complement(join(complement(A),B)),complement(A)) != complement(meet(A,join(complement(A),B)))
| join(meet(A,B),join(complement(join(complement(A),B)),complement(A))) = join(meet(A,B),complement(meet(A,join(complement(A),B)))) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),join(complement(join(complement(A),B)),complement(A))),join(meet(A,B),join(complement(join(complement(A),B)),complement(A)))) )],[refute_0_5459,refute_0_5460]) ).
cnf(refute_0_5462,plain,
join(meet(A,B),join(complement(join(complement(A),B)),complement(A))) = join(meet(A,B),complement(meet(A,join(complement(A),B)))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(A),B)),complement(A)),complement(meet(A,join(complement(A),B)))) )],[refute_0_5458,refute_0_5461]) ).
cnf(refute_0_5463,plain,
( join(meet(A,B),join(complement(join(complement(A),B)),complement(A))) != join(meet(A,B),complement(meet(A,join(complement(A),B))))
| top != join(meet(A,B),join(complement(join(complement(A),B)),complement(A)))
| top = join(meet(A,B),complement(meet(A,join(complement(A),B)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(A,B),join(complement(join(complement(A),B)),complement(A)))) ),[1],$fot(join(meet(A,B),complement(meet(A,join(complement(A),B)))))]]) ).
cnf(refute_0_5464,plain,
( top != join(meet(A,B),join(complement(join(complement(A),B)),complement(A)))
| top = join(meet(A,B),complement(meet(A,join(complement(A),B)))) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),join(complement(join(complement(A),B)),complement(A))),join(meet(A,B),complement(meet(A,join(complement(A),B))))) )],[refute_0_5462,refute_0_5463]) ).
cnf(refute_0_5465,plain,
top = join(meet(A,B),complement(meet(A,join(complement(A),B)))),
inference(resolve,[$cnf( $equal(top,join(meet(A,B),join(complement(join(complement(A),B)),complement(A)))) )],[refute_0_5449,refute_0_5464]) ).
cnf(refute_0_5466,plain,
complement(X_213) = join(meet(complement(X_213),B),complement(join(complement(complement(X_213)),B))),
inference(subst,[],[refute_0_169:[bind(A,$fot(complement(X_213)))]]) ).
cnf(refute_0_5467,plain,
( complement(X_213) != join(meet(complement(X_213),B),complement(join(complement(complement(X_213)),B)))
| complement(complement(X_213)) != X_213
| complement(X_213) = join(meet(complement(X_213),B),complement(join(X_213,B))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_213),join(meet(complement(X_213),B),complement(join(complement(complement(X_213)),B)))) ),[1,1,0,0],$fot(X_213)]]) ).
cnf(refute_0_5468,plain,
( complement(X_213) != join(meet(complement(X_213),B),complement(join(complement(complement(X_213)),B)))
| complement(X_213) = join(meet(complement(X_213),B),complement(join(X_213,B))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_213)),X_213) )],[refute_0_3419,refute_0_5467]) ).
cnf(refute_0_5469,plain,
complement(X_213) = join(meet(complement(X_213),B),complement(join(X_213,B))),
inference(resolve,[$cnf( $equal(complement(X_213),join(meet(complement(X_213),B),complement(join(complement(complement(X_213)),B)))) )],[refute_0_5466,refute_0_5468]) ).
cnf(refute_0_5470,plain,
join(meet(complement(X_213),B),complement(join(X_213,B))) = join(complement(join(X_213,B)),meet(complement(X_213),B)),
inference(subst,[],[refute_0_53:[bind(A,$fot(complement(join(X_213,B)))),bind(B,$fot(meet(complement(X_213),B)))]]) ).
cnf(refute_0_5471,plain,
( complement(X_213) != join(meet(complement(X_213),B),complement(join(X_213,B)))
| join(meet(complement(X_213),B),complement(join(X_213,B))) != join(complement(join(X_213,B)),meet(complement(X_213),B))
| complement(X_213) = join(complement(join(X_213,B)),meet(complement(X_213),B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_213),join(complement(join(X_213,B)),meet(complement(X_213),B))) ),[0],$fot(join(meet(complement(X_213),B),complement(join(X_213,B))))]]) ).
cnf(refute_0_5472,plain,
( complement(X_213) != join(meet(complement(X_213),B),complement(join(X_213,B)))
| complement(X_213) = join(complement(join(X_213,B)),meet(complement(X_213),B)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_213),B),complement(join(X_213,B))),join(complement(join(X_213,B)),meet(complement(X_213),B))) )],[refute_0_5470,refute_0_5471]) ).
cnf(refute_0_5473,plain,
complement(X_213) = join(complement(join(X_213,B)),meet(complement(X_213),B)),
inference(resolve,[$cnf( $equal(complement(X_213),join(meet(complement(X_213),B),complement(join(X_213,B)))) )],[refute_0_5469,refute_0_5472]) ).
cnf(refute_0_5474,plain,
complement(meet(X_51,X_52)) = join(complement(join(meet(X_51,X_52),meet(X_52,complement(X_51)))),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))),
inference(subst,[],[refute_0_5473:[bind(B,$fot(meet(X_52,complement(X_51)))),bind(X_213,$fot(meet(X_51,X_52)))]]) ).
cnf(refute_0_5475,plain,
( X_52 != join(meet(X_51,X_52),meet(X_52,complement(X_51)))
| join(meet(X_51,X_52),meet(X_52,complement(X_51))) = X_52 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_52)),bind(Y,$fot(join(meet(X_51,X_52),meet(X_52,complement(X_51)))))]]) ).
cnf(refute_0_5476,plain,
join(meet(X_51,X_52),meet(X_52,complement(X_51))) = X_52,
inference(resolve,[$cnf( $equal(X_52,join(meet(X_51,X_52),meet(X_52,complement(X_51)))) )],[refute_0_5410,refute_0_5475]) ).
cnf(refute_0_5477,plain,
( complement(meet(X_51,X_52)) != join(complement(join(meet(X_51,X_52),meet(X_52,complement(X_51)))),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))))
| join(meet(X_51,X_52),meet(X_52,complement(X_51))) != X_52
| complement(meet(X_51,X_52)) = join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_51,X_52)),join(complement(join(meet(X_51,X_52),meet(X_52,complement(X_51)))),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))))) ),[1,0,0],$fot(X_52)]]) ).
cnf(refute_0_5478,plain,
( complement(meet(X_51,X_52)) != join(complement(join(meet(X_51,X_52),meet(X_52,complement(X_51)))),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))))
| complement(meet(X_51,X_52)) = join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_51,X_52),meet(X_52,complement(X_51))),X_52) )],[refute_0_5476,refute_0_5477]) ).
cnf(refute_0_5479,plain,
complement(meet(X_51,X_52)) = join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))),
inference(resolve,[$cnf( $equal(complement(meet(X_51,X_52)),join(complement(join(meet(X_51,X_52),meet(X_52,complement(X_51)))),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))))) )],[refute_0_5474,refute_0_5478]) ).
cnf(refute_0_5480,plain,
complement(meet(X_614,complement(meet(X_716,complement(X_717))))) = join(complement(X_614),meet(X_716,complement(X_717))),
inference(subst,[],[refute_0_2695:[bind(X_615,$fot(meet(X_716,complement(X_717))))]]) ).
cnf(refute_0_5481,plain,
( complement(meet(X_614,complement(meet(X_716,complement(X_717))))) != join(complement(X_614),meet(X_716,complement(X_717)))
| complement(meet(X_716,complement(X_717))) != join(complement(X_716),X_717)
| complement(meet(X_614,join(complement(X_716),X_717))) = join(complement(X_614),meet(X_716,complement(X_717))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_614,complement(meet(X_716,complement(X_717))))),join(complement(X_614),meet(X_716,complement(X_717)))) ),[0,0,1],$fot(join(complement(X_716),X_717))]]) ).
cnf(refute_0_5482,plain,
( complement(meet(X_614,complement(meet(X_716,complement(X_717))))) != join(complement(X_614),meet(X_716,complement(X_717)))
| complement(meet(X_614,join(complement(X_716),X_717))) = join(complement(X_614),meet(X_716,complement(X_717))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_716,complement(X_717))),join(complement(X_716),X_717)) )],[refute_0_2696,refute_0_5481]) ).
cnf(refute_0_5483,plain,
complement(meet(X_614,join(complement(X_716),X_717))) = join(complement(X_614),meet(X_716,complement(X_717))),
inference(resolve,[$cnf( $equal(complement(meet(X_614,complement(meet(X_716,complement(X_717))))),join(complement(X_614),meet(X_716,complement(X_717)))) )],[refute_0_5480,refute_0_5482]) ).
cnf(refute_0_5484,plain,
( complement(meet(X_614,join(complement(X_716),X_717))) != join(complement(X_614),meet(X_716,complement(X_717)))
| join(complement(X_614),meet(X_716,complement(X_717))) = complement(meet(X_614,join(complement(X_716),X_717))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(meet(X_614,join(complement(X_716),X_717))))),bind(Y,$fot(join(complement(X_614),meet(X_716,complement(X_717)))))]]) ).
cnf(refute_0_5485,plain,
join(complement(X_614),meet(X_716,complement(X_717))) = complement(meet(X_614,join(complement(X_716),X_717))),
inference(resolve,[$cnf( $equal(complement(meet(X_614,join(complement(X_716),X_717))),join(complement(X_614),meet(X_716,complement(X_717)))) )],[refute_0_5483,refute_0_5484]) ).
cnf(refute_0_5486,plain,
join(complement(X_52),meet(X_52,complement(X_51))) = complement(meet(X_52,join(complement(X_52),X_51))),
inference(subst,[],[refute_0_5485:[bind(X_614,$fot(X_52)),bind(X_716,$fot(X_52)),bind(X_717,$fot(X_51))]]) ).
cnf(refute_0_5487,plain,
join(X_51,X_51) = X_51,
inference(subst,[],[refute_0_1239:[bind(X_139,$fot(X_51))]]) ).
cnf(refute_0_5488,plain,
complement(join(X_51,X_51)) = complement(join(X_51,X_51)),
introduced(tautology,[refl,[$fot(complement(join(X_51,X_51)))]]) ).
cnf(refute_0_5489,plain,
( complement(join(X_51,X_51)) != complement(join(X_51,X_51))
| join(X_51,X_51) != X_51
| complement(join(X_51,X_51)) = complement(X_51) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_51,X_51)),complement(join(X_51,X_51))) ),[1,0],$fot(X_51)]]) ).
cnf(refute_0_5490,plain,
( join(X_51,X_51) != X_51
| complement(join(X_51,X_51)) = complement(X_51) ),
inference(resolve,[$cnf( $equal(complement(join(X_51,X_51)),complement(join(X_51,X_51))) )],[refute_0_5488,refute_0_5489]) ).
cnf(refute_0_5491,plain,
complement(join(X_51,X_51)) = complement(X_51),
inference(resolve,[$cnf( $equal(join(X_51,X_51),X_51) )],[refute_0_5487,refute_0_5490]) ).
cnf(refute_0_5492,plain,
meet(X_52,complement(join(X_51,X_51))) = meet(X_52,complement(join(X_51,X_51))),
introduced(tautology,[refl,[$fot(meet(X_52,complement(join(X_51,X_51))))]]) ).
cnf(refute_0_5493,plain,
( complement(join(X_51,X_51)) != complement(X_51)
| meet(X_52,complement(join(X_51,X_51))) != meet(X_52,complement(join(X_51,X_51)))
| meet(X_52,complement(join(X_51,X_51))) = meet(X_52,complement(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_52,complement(join(X_51,X_51))),meet(X_52,complement(join(X_51,X_51)))) ),[1,1],$fot(complement(X_51))]]) ).
cnf(refute_0_5494,plain,
( complement(join(X_51,X_51)) != complement(X_51)
| meet(X_52,complement(join(X_51,X_51))) = meet(X_52,complement(X_51)) ),
inference(resolve,[$cnf( $equal(meet(X_52,complement(join(X_51,X_51))),meet(X_52,complement(join(X_51,X_51)))) )],[refute_0_5492,refute_0_5493]) ).
cnf(refute_0_5495,plain,
meet(X_52,complement(join(X_51,X_51))) = meet(X_52,complement(X_51)),
inference(resolve,[$cnf( $equal(complement(join(X_51,X_51)),complement(X_51)) )],[refute_0_5491,refute_0_5494]) ).
cnf(refute_0_5496,plain,
X_192 = meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))))))),
inference(subst,[],[refute_0_2140:[bind(A,$fot(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))),bind(X_41,$fot(X_192))]]) ).
cnf(refute_0_5497,plain,
converse(top) = join(X_30,converse(join(X_29,complement(join(converse(X_30),X_29))))),
inference(subst,[],[refute_0_694:[bind(A,$fot(X_29)),bind(X_4,$fot(X_30))]]) ).
cnf(refute_0_5498,plain,
join(X_29,converse(X_30)) = join(converse(X_30),X_29),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_29)),bind(B,$fot(converse(X_30)))]]) ).
cnf(refute_0_5499,plain,
( join(X_29,converse(X_30)) != join(converse(X_30),X_29)
| join(converse(X_30),X_29) = join(X_29,converse(X_30)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_29,converse(X_30)))),bind(Y,$fot(join(converse(X_30),X_29)))]]) ).
cnf(refute_0_5500,plain,
join(converse(X_30),X_29) = join(X_29,converse(X_30)),
inference(resolve,[$cnf( $equal(join(X_29,converse(X_30)),join(converse(X_30),X_29)) )],[refute_0_5498,refute_0_5499]) ).
cnf(refute_0_5501,plain,
( converse(top) != join(X_30,converse(join(X_29,complement(join(converse(X_30),X_29)))))
| join(converse(X_30),X_29) != join(X_29,converse(X_30))
| converse(top) = join(X_30,converse(join(X_29,complement(join(X_29,converse(X_30)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_30,converse(join(X_29,complement(join(converse(X_30),X_29)))))) ),[1,1,0,1,0],$fot(join(X_29,converse(X_30)))]]) ).
cnf(refute_0_5502,plain,
( converse(top) != join(X_30,converse(join(X_29,complement(join(converse(X_30),X_29)))))
| converse(top) = join(X_30,converse(join(X_29,complement(join(X_29,converse(X_30)))))) ),
inference(resolve,[$cnf( $equal(join(converse(X_30),X_29),join(X_29,converse(X_30))) )],[refute_0_5500,refute_0_5501]) ).
cnf(refute_0_5503,plain,
converse(top) = join(X_30,converse(join(X_29,complement(join(X_29,converse(X_30)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_30,converse(join(X_29,complement(join(converse(X_30),X_29)))))) )],[refute_0_5497,refute_0_5502]) ).
cnf(refute_0_5504,plain,
( converse(top) != join(X_30,converse(join(X_29,complement(join(X_29,converse(X_30))))))
| converse(top) != top
| top = join(X_30,converse(join(X_29,complement(join(X_29,converse(X_30)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_30,converse(join(X_29,complement(join(X_29,converse(X_30))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_5505,plain,
( converse(top) != join(X_30,converse(join(X_29,complement(join(X_29,converse(X_30))))))
| top = join(X_30,converse(join(X_29,complement(join(X_29,converse(X_30)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_5504]) ).
cnf(refute_0_5506,plain,
top = join(X_30,converse(join(X_29,complement(join(X_29,converse(X_30)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_30,converse(join(X_29,complement(join(X_29,converse(X_30))))))) )],[refute_0_5503,refute_0_5505]) ).
cnf(refute_0_5507,plain,
top = join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))),
inference(subst,[],[refute_0_5506:[bind(X_30,$fot(converse(complement(X_192))))]]) ).
cnf(refute_0_5508,plain,
( top != join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))
| join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))))]]) ).
cnf(refute_0_5509,plain,
join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))) )],[refute_0_5507,refute_0_5508]) ).
cnf(refute_0_5510,plain,
( X_192 != meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))))))
| join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))) != top
| X_192 = meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_192,meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_5511,plain,
( X_192 != meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))))))
| X_192 = meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))),top) )],[refute_0_5509,refute_0_5510]) ).
cnf(refute_0_5512,plain,
X_192 = meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))),
inference(resolve,[$cnf( $equal(X_192,meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(join(converse(complement(X_192)),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))))))) )],[refute_0_5496,refute_0_5511]) ).
cnf(refute_0_5513,plain,
join(zero,join(X_29,complement(join(X_29,complement(X_192))))) = join(X_29,complement(join(X_29,complement(X_192)))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(join(X_29,complement(join(X_29,complement(X_192))))))]]) ).
cnf(refute_0_5514,plain,
converse(converse(complement(X_192))) = complement(X_192),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(complement(X_192)))]]) ).
cnf(refute_0_5515,plain,
join(X_29,converse(converse(complement(X_192)))) = join(X_29,converse(converse(complement(X_192)))),
introduced(tautology,[refl,[$fot(join(X_29,converse(converse(complement(X_192)))))]]) ).
cnf(refute_0_5516,plain,
( converse(converse(complement(X_192))) != complement(X_192)
| join(X_29,converse(converse(complement(X_192)))) != join(X_29,converse(converse(complement(X_192))))
| join(X_29,converse(converse(complement(X_192)))) = join(X_29,complement(X_192)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_29,converse(converse(complement(X_192)))),join(X_29,converse(converse(complement(X_192))))) ),[1,1],$fot(complement(X_192))]]) ).
cnf(refute_0_5517,plain,
( converse(converse(complement(X_192))) != complement(X_192)
| join(X_29,converse(converse(complement(X_192)))) = join(X_29,complement(X_192)) ),
inference(resolve,[$cnf( $equal(join(X_29,converse(converse(complement(X_192)))),join(X_29,converse(converse(complement(X_192))))) )],[refute_0_5515,refute_0_5516]) ).
cnf(refute_0_5518,plain,
join(X_29,converse(converse(complement(X_192)))) = join(X_29,complement(X_192)),
inference(resolve,[$cnf( $equal(converse(converse(complement(X_192))),complement(X_192)) )],[refute_0_5514,refute_0_5517]) ).
cnf(refute_0_5519,plain,
complement(join(X_29,converse(converse(complement(X_192))))) = complement(join(X_29,converse(converse(complement(X_192))))),
introduced(tautology,[refl,[$fot(complement(join(X_29,converse(converse(complement(X_192))))))]]) ).
cnf(refute_0_5520,plain,
( complement(join(X_29,converse(converse(complement(X_192))))) != complement(join(X_29,converse(converse(complement(X_192)))))
| join(X_29,converse(converse(complement(X_192)))) != join(X_29,complement(X_192))
| complement(join(X_29,converse(converse(complement(X_192))))) = complement(join(X_29,complement(X_192))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_29,converse(converse(complement(X_192))))),complement(join(X_29,converse(converse(complement(X_192)))))) ),[1,0],$fot(join(X_29,complement(X_192)))]]) ).
cnf(refute_0_5521,plain,
( join(X_29,converse(converse(complement(X_192)))) != join(X_29,complement(X_192))
| complement(join(X_29,converse(converse(complement(X_192))))) = complement(join(X_29,complement(X_192))) ),
inference(resolve,[$cnf( $equal(complement(join(X_29,converse(converse(complement(X_192))))),complement(join(X_29,converse(converse(complement(X_192)))))) )],[refute_0_5519,refute_0_5520]) ).
cnf(refute_0_5522,plain,
complement(join(X_29,converse(converse(complement(X_192))))) = complement(join(X_29,complement(X_192))),
inference(resolve,[$cnf( $equal(join(X_29,converse(converse(complement(X_192)))),join(X_29,complement(X_192))) )],[refute_0_5518,refute_0_5521]) ).
cnf(refute_0_5523,plain,
join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))) = join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))),
introduced(tautology,[refl,[$fot(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))]]) ).
cnf(refute_0_5524,plain,
( complement(join(X_29,converse(converse(complement(X_192))))) != complement(join(X_29,complement(X_192)))
| join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))) != join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))
| join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))) = join(X_29,complement(join(X_29,complement(X_192)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) ),[1,1],$fot(complement(join(X_29,complement(X_192))))]]) ).
cnf(refute_0_5525,plain,
( complement(join(X_29,converse(converse(complement(X_192))))) != complement(join(X_29,complement(X_192)))
| join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))) = join(X_29,complement(join(X_29,complement(X_192)))) ),
inference(resolve,[$cnf( $equal(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) )],[refute_0_5523,refute_0_5524]) ).
cnf(refute_0_5526,plain,
join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))) = join(X_29,complement(join(X_29,complement(X_192)))),
inference(resolve,[$cnf( $equal(complement(join(X_29,converse(converse(complement(X_192))))),complement(join(X_29,complement(X_192)))) )],[refute_0_5522,refute_0_5525]) ).
cnf(refute_0_5527,plain,
join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),
introduced(tautology,[refl,[$fot(join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))]]) ).
cnf(refute_0_5528,plain,
( join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))) != join(X_29,complement(join(X_29,complement(X_192))))
| join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) != join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))
| join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(zero,join(X_29,complement(join(X_29,complement(X_192))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))) ),[1,1],$fot(join(X_29,complement(join(X_29,complement(X_192)))))]]) ).
cnf(refute_0_5529,plain,
( join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))) != join(X_29,complement(join(X_29,complement(X_192))))
| join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(zero,join(X_29,complement(join(X_29,complement(X_192))))) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))) )],[refute_0_5527,refute_0_5528]) ).
cnf(refute_0_5530,plain,
join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(zero,join(X_29,complement(join(X_29,complement(X_192))))),
inference(resolve,[$cnf( $equal(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))),join(X_29,complement(join(X_29,complement(X_192))))) )],[refute_0_5526,refute_0_5529]) ).
cnf(refute_0_5531,plain,
join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),
introduced(tautology,[refl,[$fot(join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))]]) ).
cnf(refute_0_5532,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) != join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))
| join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5533,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))) )],[refute_0_5531,refute_0_5532]) ).
cnf(refute_0_5534,plain,
join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),
inference(resolve,[$cnf( $equal(converse(complement(top)),zero) )],[refute_0_2345,refute_0_5533]) ).
cnf(refute_0_5535,plain,
( join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) != join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))
| join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) != join(zero,join(X_29,complement(join(X_29,complement(X_192)))))
| join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(zero,join(X_29,complement(join(X_29,complement(X_192))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))),bind(Y,$fot(join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))),bind(Z,$fot(join(zero,join(X_29,complement(join(X_29,complement(X_192)))))))]]) ).
cnf(refute_0_5536,plain,
( join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) != join(zero,join(X_29,complement(join(X_29,complement(X_192)))))
| join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(zero,join(X_29,complement(join(X_29,complement(X_192))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))) )],[refute_0_5534,refute_0_5535]) ).
cnf(refute_0_5537,plain,
join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(zero,join(X_29,complement(join(X_29,complement(X_192))))),
inference(resolve,[$cnf( $equal(join(zero,join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),join(zero,join(X_29,complement(join(X_29,complement(X_192)))))) )],[refute_0_5530,refute_0_5536]) ).
cnf(refute_0_5538,plain,
( join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) != join(zero,join(X_29,complement(join(X_29,complement(X_192)))))
| join(zero,join(X_29,complement(join(X_29,complement(X_192))))) != join(X_29,complement(join(X_29,complement(X_192))))
| join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(X_29,complement(join(X_29,complement(X_192)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))),bind(Y,$fot(join(zero,join(X_29,complement(join(X_29,complement(X_192))))))),bind(Z,$fot(join(X_29,complement(join(X_29,complement(X_192))))))]]) ).
cnf(refute_0_5539,plain,
( join(zero,join(X_29,complement(join(X_29,complement(X_192))))) != join(X_29,complement(join(X_29,complement(X_192))))
| join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(X_29,complement(join(X_29,complement(X_192)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),join(zero,join(X_29,complement(join(X_29,complement(X_192)))))) )],[refute_0_5537,refute_0_5538]) ).
cnf(refute_0_5540,plain,
join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) = join(X_29,complement(join(X_29,complement(X_192)))),
inference(resolve,[$cnf( $equal(join(zero,join(X_29,complement(join(X_29,complement(X_192))))),join(X_29,complement(join(X_29,complement(X_192))))) )],[refute_0_5513,refute_0_5539]) ).
cnf(refute_0_5541,plain,
converse(join(complement(top),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))) = join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),
inference(subst,[],[refute_0_128:[bind(A,$fot(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))),bind(X_4,$fot(complement(top)))]]) ).
cnf(refute_0_5542,plain,
converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))) = converse(join(complement(top),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))),
inference(subst,[],[refute_0_2084:[bind(A,$fot(complement(top))),bind(B,$fot(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))))]]) ).
cnf(refute_0_5543,plain,
( converse(join(complement(top),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))) != join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))
| converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))) != converse(join(complement(top),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))))
| converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))) = join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))))),bind(Y,$fot(converse(join(complement(top),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))))),bind(Z,$fot(join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))))]]) ).
cnf(refute_0_5544,plain,
( converse(join(complement(top),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))) != join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))
| converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))) = join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))),converse(join(complement(top),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))))) )],[refute_0_5542,refute_0_5543]) ).
cnf(refute_0_5545,plain,
converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))) = join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(top),converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))),join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))) )],[refute_0_5541,refute_0_5544]) ).
cnf(refute_0_5546,plain,
( converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))) != join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))
| join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) != join(X_29,complement(join(X_29,complement(X_192))))
| converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))) = join(X_29,complement(join(X_29,complement(X_192)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))))),bind(Y,$fot(join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))))),bind(Z,$fot(join(X_29,complement(join(X_29,complement(X_192))))))]]) ).
cnf(refute_0_5547,plain,
( join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))) != join(X_29,complement(join(X_29,complement(X_192))))
| converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))) = join(X_29,complement(join(X_29,complement(X_192)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))),join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192)))))))) )],[refute_0_5545,refute_0_5546]) ).
cnf(refute_0_5548,plain,
converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))) = join(X_29,complement(join(X_29,complement(X_192)))),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),join(X_29,complement(join(X_29,complement(X_192))))) )],[refute_0_5540,refute_0_5547]) ).
cnf(refute_0_5549,plain,
meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))) = meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))),
introduced(tautology,[refl,[$fot(meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))))]]) ).
cnf(refute_0_5550,plain,
( converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))) != join(X_29,complement(join(X_29,complement(X_192))))
| meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))) != meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))))
| meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))) = meet(X_192,join(X_29,complement(join(X_29,complement(X_192))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))),meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))))) ),[1,1],$fot(join(X_29,complement(join(X_29,complement(X_192)))))]]) ).
cnf(refute_0_5551,plain,
( converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))) != join(X_29,complement(join(X_29,complement(X_192))))
| meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))) = meet(X_192,join(X_29,complement(join(X_29,complement(X_192))))) ),
inference(resolve,[$cnf( $equal(meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))),meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))))) )],[refute_0_5549,refute_0_5550]) ).
cnf(refute_0_5552,plain,
meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))) = meet(X_192,join(X_29,complement(join(X_29,complement(X_192))))),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))),join(X_29,complement(join(X_29,complement(X_192))))) )],[refute_0_5548,refute_0_5551]) ).
cnf(refute_0_5553,plain,
( X_192 != meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))))
| meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))) != meet(X_192,join(X_29,complement(join(X_29,complement(X_192)))))
| X_192 = meet(X_192,join(X_29,complement(join(X_29,complement(X_192))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_192,meet(X_192,join(X_29,complement(join(X_29,complement(X_192)))))) ),[0],$fot(meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))))]]) ).
cnf(refute_0_5554,plain,
( X_192 != meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))))
| X_192 = meet(X_192,join(X_29,complement(join(X_29,complement(X_192))))) ),
inference(resolve,[$cnf( $equal(meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top)))),meet(X_192,join(X_29,complement(join(X_29,complement(X_192)))))) )],[refute_0_5552,refute_0_5553]) ).
cnf(refute_0_5555,plain,
X_192 = meet(X_192,join(X_29,complement(join(X_29,complement(X_192))))),
inference(resolve,[$cnf( $equal(X_192,meet(X_192,converse(join(converse(join(X_29,complement(join(X_29,converse(converse(complement(X_192))))))),complement(top))))) )],[refute_0_5512,refute_0_5554]) ).
cnf(refute_0_5556,plain,
complement(X_213) = meet(complement(X_213),join(X_29,complement(join(X_29,complement(complement(X_213)))))),
inference(subst,[],[refute_0_5555:[bind(X_192,$fot(complement(X_213)))]]) ).
cnf(refute_0_5557,plain,
( complement(X_213) != meet(complement(X_213),join(X_29,complement(join(X_29,complement(complement(X_213))))))
| complement(complement(X_213)) != X_213
| complement(X_213) = meet(complement(X_213),join(X_29,complement(join(X_29,X_213)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_213),meet(complement(X_213),join(X_29,complement(join(X_29,complement(complement(X_213))))))) ),[1,1,1,0,1],$fot(X_213)]]) ).
cnf(refute_0_5558,plain,
( complement(X_213) != meet(complement(X_213),join(X_29,complement(join(X_29,complement(complement(X_213))))))
| complement(X_213) = meet(complement(X_213),join(X_29,complement(join(X_29,X_213)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_213)),X_213) )],[refute_0_3419,refute_0_5557]) ).
cnf(refute_0_5559,plain,
complement(X_213) = meet(complement(X_213),join(X_29,complement(join(X_29,X_213)))),
inference(resolve,[$cnf( $equal(complement(X_213),meet(complement(X_213),join(X_29,complement(join(X_29,complement(complement(X_213))))))) )],[refute_0_5556,refute_0_5558]) ).
cnf(refute_0_5560,plain,
complement(join(complement(X_16),join(meet(X_15,X_16),X_121))) = meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121)))))),
inference(subst,[],[refute_0_5559:[bind(X_213,$fot(join(complement(X_16),join(meet(X_15,X_16),X_121)))),bind(X_29,$fot(complement(X_15)))]]) ).
cnf(refute_0_5561,plain,
join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) = join(join(complement(X_15),join(complement(X_16),meet(X_15,X_16))),X_121),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(complement(X_15))),bind(B,$fot(join(complement(X_16),meet(X_15,X_16)))),bind(C,$fot(X_121))]]) ).
cnf(refute_0_5562,plain,
( top != join(complement(X_15),join(complement(X_16),meet(X_15,X_16)))
| join(complement(X_15),join(complement(X_16),meet(X_15,X_16))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_15),join(complement(X_16),meet(X_15,X_16)))))]]) ).
cnf(refute_0_5563,plain,
join(complement(X_15),join(complement(X_16),meet(X_15,X_16))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_15),join(complement(X_16),meet(X_15,X_16)))) )],[refute_0_572,refute_0_5562]) ).
cnf(refute_0_5564,plain,
( join(complement(X_15),join(complement(X_16),meet(X_15,X_16))) != top
| join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) != join(join(complement(X_15),join(complement(X_16),meet(X_15,X_16))),X_121)
| join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) = join(top,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)),join(join(complement(X_15),join(complement(X_16),meet(X_15,X_16))),X_121)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5565,plain,
( join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) != join(join(complement(X_15),join(complement(X_16),meet(X_15,X_16))),X_121)
| join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) = join(top,X_121) ),
inference(resolve,[$cnf( $equal(join(complement(X_15),join(complement(X_16),meet(X_15,X_16))),top) )],[refute_0_5563,refute_0_5564]) ).
cnf(refute_0_5566,plain,
join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) = join(top,X_121),
inference(resolve,[$cnf( $equal(join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)),join(join(complement(X_15),join(complement(X_16),meet(X_15,X_16))),X_121)) )],[refute_0_5561,refute_0_5565]) ).
cnf(refute_0_5567,plain,
join(join(complement(X_16),meet(X_15,X_16)),X_121) = join(complement(X_16),join(meet(X_15,X_16),X_121)),
inference(subst,[],[refute_0_147:[bind(A,$fot(complement(X_16))),bind(B,$fot(meet(X_15,X_16))),bind(C,$fot(X_121))]]) ).
cnf(refute_0_5568,plain,
join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) = join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)),
introduced(tautology,[refl,[$fot(join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)))]]) ).
cnf(refute_0_5569,plain,
( join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) != join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121))
| join(join(complement(X_16),meet(X_15,X_16)),X_121) != join(complement(X_16),join(meet(X_15,X_16),X_121))
| join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) = join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)),join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121))) ),[1,1],$fot(join(complement(X_16),join(meet(X_15,X_16),X_121)))]]) ).
cnf(refute_0_5570,plain,
( join(join(complement(X_16),meet(X_15,X_16)),X_121) != join(complement(X_16),join(meet(X_15,X_16),X_121))
| join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) = join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))) ),
inference(resolve,[$cnf( $equal(join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)),join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121))) )],[refute_0_5568,refute_0_5569]) ).
cnf(refute_0_5571,plain,
join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) = join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))),
inference(resolve,[$cnf( $equal(join(join(complement(X_16),meet(X_15,X_16)),X_121),join(complement(X_16),join(meet(X_15,X_16),X_121))) )],[refute_0_5567,refute_0_5570]) ).
cnf(refute_0_5572,plain,
( join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) != join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121)))
| join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) != join(top,X_121)
| join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))) = join(top,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)),join(top,X_121)) ),[0],$fot(join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))))]]) ).
cnf(refute_0_5573,plain,
( join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) != join(top,X_121)
| join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))) = join(top,X_121) ),
inference(resolve,[$cnf( $equal(join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)),join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121)))) )],[refute_0_5571,refute_0_5572]) ).
cnf(refute_0_5574,plain,
( join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))) != join(top,X_121)
| join(top,X_121) != top
| join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))),top) ),[0],$fot(join(top,X_121))]]) ).
cnf(refute_0_5575,plain,
( join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))) != join(top,X_121)
| join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))) = top ),
inference(resolve,[$cnf( $equal(join(top,X_121),top) )],[refute_0_1172,refute_0_5574]) ).
cnf(refute_0_5576,plain,
( join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)) != join(top,X_121)
| join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))),join(top,X_121)) )],[refute_0_5573,refute_0_5575]) ).
cnf(refute_0_5577,plain,
join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))) = top,
inference(resolve,[$cnf( $equal(join(complement(X_15),join(join(complement(X_16),meet(X_15,X_16)),X_121)),join(top,X_121)) )],[refute_0_5566,refute_0_5576]) ).
cnf(refute_0_5578,plain,
( complement(join(complement(X_16),join(meet(X_15,X_16),X_121))) != meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))))))
| join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))) != top
| complement(join(complement(X_16),join(meet(X_15,X_16),X_121))) = meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_5579,plain,
( complement(join(complement(X_16),join(meet(X_15,X_16),X_121))) != meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))))))
| complement(join(complement(X_16),join(meet(X_15,X_16),X_121))) = meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))),top) )],[refute_0_5577,refute_0_5578]) ).
cnf(refute_0_5580,plain,
complement(join(complement(X_16),join(meet(X_15,X_16),X_121))) = meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(join(complement(X_15),join(complement(X_16),join(meet(X_15,X_16),X_121))))))) )],[refute_0_5560,refute_0_5579]) ).
cnf(refute_0_5581,plain,
complement(join(complement(X_16),join(meet(X_15,X_16),X_121))) = meet(X_16,complement(join(meet(X_15,X_16),X_121))),
inference(subst,[],[refute_0_1846:[bind(X_361,$fot(X_16)),bind(X_363,$fot(join(meet(X_15,X_16),X_121)))]]) ).
cnf(refute_0_5582,plain,
( complement(join(complement(X_16),join(meet(X_15,X_16),X_121))) != meet(X_16,complement(join(meet(X_15,X_16),X_121)))
| complement(join(complement(X_16),join(meet(X_15,X_16),X_121))) != meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top)))
| meet(X_16,complement(join(meet(X_15,X_16),X_121))) = meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top)))) ),[0],$fot(meet(X_16,complement(join(meet(X_15,X_16),X_121))))]]) ).
cnf(refute_0_5583,plain,
( complement(join(complement(X_16),join(meet(X_15,X_16),X_121))) != meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top)))
| meet(X_16,complement(join(meet(X_15,X_16),X_121))) = meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),meet(X_16,complement(join(meet(X_15,X_16),X_121)))) )],[refute_0_5581,refute_0_5582]) ).
cnf(refute_0_5584,plain,
join(A,join(meet(A,X_641),C)) = join(join(A,meet(A,X_641)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(B,$fot(meet(A,X_641)))]]) ).
cnf(refute_0_5585,plain,
join(A,meet(A,X_641)) = A,
inference(subst,[],[refute_0_1904:[bind(X_51,$fot(X_641)),bind(X_52,$fot(A))]]) ).
cnf(refute_0_5586,plain,
( join(A,join(meet(A,X_641),C)) != join(join(A,meet(A,X_641)),C)
| join(A,meet(A,X_641)) != A
| join(A,join(meet(A,X_641),C)) = join(A,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,join(meet(A,X_641),C)),join(join(A,meet(A,X_641)),C)) ),[1,0],$fot(A)]]) ).
cnf(refute_0_5587,plain,
( join(A,join(meet(A,X_641),C)) != join(join(A,meet(A,X_641)),C)
| join(A,join(meet(A,X_641),C)) = join(A,C) ),
inference(resolve,[$cnf( $equal(join(A,meet(A,X_641)),A) )],[refute_0_5585,refute_0_5586]) ).
cnf(refute_0_5588,plain,
join(A,join(meet(A,X_641),C)) = join(A,C),
inference(resolve,[$cnf( $equal(join(A,join(meet(A,X_641),C)),join(join(A,meet(A,X_641)),C)) )],[refute_0_5584,refute_0_5587]) ).
cnf(refute_0_5589,plain,
join(X_15,join(meet(X_15,X_16),X_121)) = join(X_15,X_121),
inference(subst,[],[refute_0_5588:[bind(A,$fot(X_15)),bind(C,$fot(X_121)),bind(X_641,$fot(X_16))]]) ).
cnf(refute_0_5590,plain,
meet(X_15,top) = X_15,
inference(subst,[],[refute_0_834:[bind(X_41,$fot(X_15))]]) ).
cnf(refute_0_5591,plain,
complement(complement(top)) = top,
inference(subst,[],[refute_0_931:[bind(X_25,$fot(top))]]) ).
cnf(refute_0_5592,plain,
meet(X_15,complement(complement(top))) = meet(X_15,complement(complement(top))),
introduced(tautology,[refl,[$fot(meet(X_15,complement(complement(top))))]]) ).
cnf(refute_0_5593,plain,
( complement(complement(top)) != top
| meet(X_15,complement(complement(top))) != meet(X_15,complement(complement(top)))
| meet(X_15,complement(complement(top))) = meet(X_15,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_15,complement(complement(top))),meet(X_15,complement(complement(top)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5594,plain,
( complement(complement(top)) != top
| meet(X_15,complement(complement(top))) = meet(X_15,top) ),
inference(resolve,[$cnf( $equal(meet(X_15,complement(complement(top))),meet(X_15,complement(complement(top)))) )],[refute_0_5592,refute_0_5593]) ).
cnf(refute_0_5595,plain,
meet(X_15,complement(complement(top))) = meet(X_15,top),
inference(resolve,[$cnf( $equal(complement(complement(top)),top) )],[refute_0_5591,refute_0_5594]) ).
cnf(refute_0_5596,plain,
( meet(X_15,complement(complement(top))) != meet(X_15,top)
| meet(X_15,top) != X_15
| meet(X_15,complement(complement(top))) = X_15 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(X_15,complement(complement(top))))),bind(Y,$fot(meet(X_15,top))),bind(Z,$fot(X_15))]]) ).
cnf(refute_0_5597,plain,
( meet(X_15,top) != X_15
| meet(X_15,complement(complement(top))) = X_15 ),
inference(resolve,[$cnf( $equal(meet(X_15,complement(complement(top))),meet(X_15,top)) )],[refute_0_5595,refute_0_5596]) ).
cnf(refute_0_5598,plain,
meet(X_15,complement(complement(top))) = X_15,
inference(resolve,[$cnf( $equal(meet(X_15,top),X_15) )],[refute_0_5590,refute_0_5597]) ).
cnf(refute_0_5599,plain,
join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)) = join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)),
introduced(tautology,[refl,[$fot(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))]]) ).
cnf(refute_0_5600,plain,
( join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)) != join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))
| meet(X_15,complement(complement(top))) != X_15
| join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)) = join(X_15,join(meet(X_15,X_16),X_121)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)),join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))) ),[1,0],$fot(X_15)]]) ).
cnf(refute_0_5601,plain,
( meet(X_15,complement(complement(top))) != X_15
| join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)) = join(X_15,join(meet(X_15,X_16),X_121)) ),
inference(resolve,[$cnf( $equal(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)),join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))) )],[refute_0_5599,refute_0_5600]) ).
cnf(refute_0_5602,plain,
join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)) = join(X_15,join(meet(X_15,X_16),X_121)),
inference(resolve,[$cnf( $equal(meet(X_15,complement(complement(top))),X_15) )],[refute_0_5598,refute_0_5601]) ).
cnf(refute_0_5603,plain,
( join(X_15,join(meet(X_15,X_16),X_121)) != join(X_15,X_121)
| join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)) != join(X_15,join(meet(X_15,X_16),X_121))
| join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)) = join(X_15,X_121) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))),bind(Y,$fot(join(X_15,join(meet(X_15,X_16),X_121)))),bind(Z,$fot(join(X_15,X_121)))]]) ).
cnf(refute_0_5604,plain,
( join(X_15,join(meet(X_15,X_16),X_121)) != join(X_15,X_121)
| join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)) = join(X_15,X_121) ),
inference(resolve,[$cnf( $equal(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)),join(X_15,join(meet(X_15,X_16),X_121))) )],[refute_0_5602,refute_0_5603]) ).
cnf(refute_0_5605,plain,
join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)) = join(X_15,X_121),
inference(resolve,[$cnf( $equal(join(X_15,join(meet(X_15,X_16),X_121)),join(X_15,X_121)) )],[refute_0_5589,refute_0_5604]) ).
cnf(refute_0_5606,plain,
complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))) = complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))]]) ).
cnf(refute_0_5607,plain,
( complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))) != complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))
| join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)) != join(X_15,X_121)
| complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))) = complement(join(X_15,X_121)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))),complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) ),[1,0],$fot(join(X_15,X_121))]]) ).
cnf(refute_0_5608,plain,
( join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)) != join(X_15,X_121)
| complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))) = complement(join(X_15,X_121)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))),complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) )],[refute_0_5606,refute_0_5607]) ).
cnf(refute_0_5609,plain,
complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))) = complement(join(X_15,X_121)),
inference(resolve,[$cnf( $equal(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)),join(X_15,X_121)) )],[refute_0_5605,refute_0_5608]) ).
cnf(refute_0_5610,plain,
meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) = meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))),
introduced(tautology,[refl,[$fot(meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))))]]) ).
cnf(refute_0_5611,plain,
( complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))) != complement(join(X_15,X_121))
| meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) != meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))
| meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) = meet(X_16,complement(join(X_15,X_121))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))),meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))) ),[1,1],$fot(complement(join(X_15,X_121)))]]) ).
cnf(refute_0_5612,plain,
( complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))) != complement(join(X_15,X_121))
| meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) = meet(X_16,complement(join(X_15,X_121))) ),
inference(resolve,[$cnf( $equal(meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))),meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))) )],[refute_0_5610,refute_0_5611]) ).
cnf(refute_0_5613,plain,
meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) = meet(X_16,complement(join(X_15,X_121))),
inference(resolve,[$cnf( $equal(complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))),complement(join(X_15,X_121))) )],[refute_0_5609,refute_0_5612]) ).
cnf(refute_0_5614,plain,
meet(X_614,complement(join(X_119,X_121))) = complement(join(complement(X_614),join(X_119,X_121))),
inference(subst,[],[refute_0_1834:[bind(X_361,$fot(X_614)),bind(X_363,$fot(join(X_119,X_121)))]]) ).
cnf(refute_0_5615,plain,
join(X_119,join(complement(X_614),X_121)) = join(complement(X_614),join(X_119,X_121)),
inference(subst,[],[refute_0_151:[bind(X_120,$fot(complement(X_614)))]]) ).
cnf(refute_0_5616,plain,
( join(X_119,join(complement(X_614),X_121)) != join(complement(X_614),join(X_119,X_121))
| join(complement(X_614),join(X_119,X_121)) = join(X_119,join(complement(X_614),X_121)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_119,join(complement(X_614),X_121)))),bind(Y,$fot(join(complement(X_614),join(X_119,X_121))))]]) ).
cnf(refute_0_5617,plain,
join(complement(X_614),join(X_119,X_121)) = join(X_119,join(complement(X_614),X_121)),
inference(resolve,[$cnf( $equal(join(X_119,join(complement(X_614),X_121)),join(complement(X_614),join(X_119,X_121))) )],[refute_0_5615,refute_0_5616]) ).
cnf(refute_0_5618,plain,
( join(complement(X_614),join(X_119,X_121)) != join(X_119,join(complement(X_614),X_121))
| meet(X_614,complement(join(X_119,X_121))) != complement(join(complement(X_614),join(X_119,X_121)))
| meet(X_614,complement(join(X_119,X_121))) = complement(join(X_119,join(complement(X_614),X_121))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_614,complement(join(X_119,X_121))),complement(join(complement(X_614),join(X_119,X_121)))) ),[1,0],$fot(join(X_119,join(complement(X_614),X_121)))]]) ).
cnf(refute_0_5619,plain,
( meet(X_614,complement(join(X_119,X_121))) != complement(join(complement(X_614),join(X_119,X_121)))
| meet(X_614,complement(join(X_119,X_121))) = complement(join(X_119,join(complement(X_614),X_121))) ),
inference(resolve,[$cnf( $equal(join(complement(X_614),join(X_119,X_121)),join(X_119,join(complement(X_614),X_121))) )],[refute_0_5617,refute_0_5618]) ).
cnf(refute_0_5620,plain,
meet(X_614,complement(join(X_119,X_121))) = complement(join(X_119,join(complement(X_614),X_121))),
inference(resolve,[$cnf( $equal(meet(X_614,complement(join(X_119,X_121))),complement(join(complement(X_614),join(X_119,X_121)))) )],[refute_0_5614,refute_0_5619]) ).
cnf(refute_0_5621,plain,
( meet(X_614,complement(join(X_119,X_121))) != complement(join(X_119,join(complement(X_614),X_121)))
| complement(join(X_119,join(complement(X_614),X_121))) = meet(X_614,complement(join(X_119,X_121))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_614,complement(join(X_119,X_121))))),bind(Y,$fot(complement(join(X_119,join(complement(X_614),X_121)))))]]) ).
cnf(refute_0_5622,plain,
complement(join(X_119,join(complement(X_614),X_121))) = meet(X_614,complement(join(X_119,X_121))),
inference(resolve,[$cnf( $equal(meet(X_614,complement(join(X_119,X_121))),complement(join(X_119,join(complement(X_614),X_121)))) )],[refute_0_5620,refute_0_5621]) ).
cnf(refute_0_5623,plain,
complement(join(meet(X_15,complement(complement(top))),join(complement(X_16),join(meet(X_15,X_16),X_121)))) = meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))),
inference(subst,[],[refute_0_5622:[bind(X_119,$fot(meet(X_15,complement(complement(top))))),bind(X_121,$fot(join(meet(X_15,X_16),X_121))),bind(X_614,$fot(X_16))]]) ).
cnf(refute_0_5624,plain,
meet(join(complement(X_614),X_615),complement(X_363)) = complement(join(complement(join(complement(X_614),X_615)),X_363)),
inference(subst,[],[refute_0_1834:[bind(X_361,$fot(join(complement(X_614),X_615)))]]) ).
cnf(refute_0_5625,plain,
( complement(join(complement(X_614),X_615)) != meet(X_614,complement(X_615))
| meet(join(complement(X_614),X_615),complement(X_363)) != complement(join(complement(join(complement(X_614),X_615)),X_363))
| meet(join(complement(X_614),X_615),complement(X_363)) = complement(join(meet(X_614,complement(X_615)),X_363)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_614),X_615),complement(X_363)),complement(join(complement(join(complement(X_614),X_615)),X_363))) ),[1,0,0],$fot(meet(X_614,complement(X_615)))]]) ).
cnf(refute_0_5626,plain,
( meet(join(complement(X_614),X_615),complement(X_363)) != complement(join(complement(join(complement(X_614),X_615)),X_363))
| meet(join(complement(X_614),X_615),complement(X_363)) = complement(join(meet(X_614,complement(X_615)),X_363)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_614),X_615)),meet(X_614,complement(X_615))) )],[refute_0_2692,refute_0_5625]) ).
cnf(refute_0_5627,plain,
meet(join(complement(X_614),X_615),complement(X_363)) = complement(join(meet(X_614,complement(X_615)),X_363)),
inference(resolve,[$cnf( $equal(meet(join(complement(X_614),X_615),complement(X_363)),complement(join(complement(join(complement(X_614),X_615)),X_363))) )],[refute_0_5624,refute_0_5626]) ).
cnf(refute_0_5628,plain,
meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))) = complement(join(meet(X_15,complement(complement(top))),join(complement(X_16),join(meet(X_15,X_16),X_121)))),
inference(subst,[],[refute_0_5627:[bind(X_363,$fot(join(complement(X_16),join(meet(X_15,X_16),X_121)))),bind(X_614,$fot(X_15)),bind(X_615,$fot(complement(top)))]]) ).
cnf(refute_0_5629,plain,
( complement(join(meet(X_15,complement(complement(top))),join(complement(X_16),join(meet(X_15,X_16),X_121)))) != meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))
| meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))) != complement(join(meet(X_15,complement(complement(top))),join(complement(X_16),join(meet(X_15,X_16),X_121))))
| meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))) = meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))))),bind(Y,$fot(complement(join(meet(X_15,complement(complement(top))),join(complement(X_16),join(meet(X_15,X_16),X_121)))))),bind(Z,$fot(meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))))]]) ).
cnf(refute_0_5630,plain,
( complement(join(meet(X_15,complement(complement(top))),join(complement(X_16),join(meet(X_15,X_16),X_121)))) != meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))
| meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))) = meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))),complement(join(meet(X_15,complement(complement(top))),join(complement(X_16),join(meet(X_15,X_16),X_121))))) )],[refute_0_5628,refute_0_5629]) ).
cnf(refute_0_5631,plain,
meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))) = meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))),
inference(resolve,[$cnf( $equal(complement(join(meet(X_15,complement(complement(top))),join(complement(X_16),join(meet(X_15,X_16),X_121)))),meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))) )],[refute_0_5623,refute_0_5630]) ).
cnf(refute_0_5632,plain,
meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) = meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(join(complement(X_15),complement(top)))),bind(X_16,$fot(complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))))]]) ).
cnf(refute_0_5633,plain,
( meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) != meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121))))
| meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))) != meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))
| meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) = meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))))),bind(Y,$fot(meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))))),bind(Z,$fot(meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))))]]) ).
cnf(refute_0_5634,plain,
( meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))) != meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))
| meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) = meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))),meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121))))) )],[refute_0_5632,refute_0_5633]) ).
cnf(refute_0_5635,plain,
meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) = meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_15),complement(top)),complement(join(complement(X_16),join(meet(X_15,X_16),X_121)))),meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))) )],[refute_0_5631,refute_0_5634]) ).
cnf(refute_0_5636,plain,
( meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) != meet(X_16,complement(join(X_15,X_121)))
| meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) != meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))
| meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) = meet(X_16,complement(join(X_15,X_121))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))))),bind(Y,$fot(meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))))),bind(Z,$fot(meet(X_16,complement(join(X_15,X_121)))))]]) ).
cnf(refute_0_5637,plain,
( meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))) != meet(X_16,complement(join(X_15,X_121)))
| meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) = meet(X_16,complement(join(X_15,X_121))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))),meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121))))) )],[refute_0_5635,refute_0_5636]) ).
cnf(refute_0_5638,plain,
meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) = meet(X_16,complement(join(X_15,X_121))),
inference(resolve,[$cnf( $equal(meet(X_16,complement(join(meet(X_15,complement(complement(top))),join(meet(X_15,X_16),X_121)))),meet(X_16,complement(join(X_15,X_121)))) )],[refute_0_5613,refute_0_5637]) ).
cnf(refute_0_5639,plain,
( meet(X_16,complement(join(meet(X_15,X_16),X_121))) != meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top)))
| meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))) != meet(X_16,complement(join(X_15,X_121)))
| meet(X_16,complement(join(meet(X_15,X_16),X_121))) = meet(X_16,complement(join(X_15,X_121))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_16,complement(join(meet(X_15,X_16),X_121))),meet(X_16,complement(join(X_15,X_121)))) ),[0],$fot(meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))))]]) ).
cnf(refute_0_5640,plain,
( meet(X_16,complement(join(meet(X_15,X_16),X_121))) != meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top)))
| meet(X_16,complement(join(meet(X_15,X_16),X_121))) = meet(X_16,complement(join(X_15,X_121))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top))),meet(X_16,complement(join(X_15,X_121)))) )],[refute_0_5638,refute_0_5639]) ).
cnf(refute_0_5641,plain,
( complement(join(complement(X_16),join(meet(X_15,X_16),X_121))) != meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top)))
| meet(X_16,complement(join(meet(X_15,X_16),X_121))) = meet(X_16,complement(join(X_15,X_121))) ),
inference(resolve,[$cnf( $equal(meet(X_16,complement(join(meet(X_15,X_16),X_121))),meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top)))) )],[refute_0_5583,refute_0_5640]) ).
cnf(refute_0_5642,plain,
meet(X_16,complement(join(meet(X_15,X_16),X_121))) = meet(X_16,complement(join(X_15,X_121))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),meet(complement(join(complement(X_16),join(meet(X_15,X_16),X_121))),join(complement(X_15),complement(top)))) )],[refute_0_5580,refute_0_5641]) ).
cnf(refute_0_5643,plain,
meet(X_52,complement(join(meet(X_51,X_52),X_51))) = meet(X_52,complement(join(X_51,X_51))),
inference(subst,[],[refute_0_5642:[bind(X_121,$fot(X_51)),bind(X_15,$fot(X_51)),bind(X_16,$fot(X_52))]]) ).
cnf(refute_0_5644,plain,
meet(complement(X_718),complement(join(complement(X_361),X_363))) = complement(join(X_718,join(complement(X_361),X_363))),
inference(subst,[],[refute_0_1843:[bind(X_25,$fot(X_718)),bind(X_615,$fot(join(complement(X_361),X_363)))]]) ).
cnf(refute_0_5645,plain,
( complement(join(complement(X_361),X_363)) != meet(X_361,complement(X_363))
| meet(complement(X_718),complement(join(complement(X_361),X_363))) != complement(join(X_718,join(complement(X_361),X_363)))
| meet(complement(X_718),meet(X_361,complement(X_363))) = complement(join(X_718,join(complement(X_361),X_363))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_718),complement(join(complement(X_361),X_363))),complement(join(X_718,join(complement(X_361),X_363)))) ),[0,1],$fot(meet(X_361,complement(X_363)))]]) ).
cnf(refute_0_5646,plain,
( meet(complement(X_718),complement(join(complement(X_361),X_363))) != complement(join(X_718,join(complement(X_361),X_363)))
| meet(complement(X_718),meet(X_361,complement(X_363))) = complement(join(X_718,join(complement(X_361),X_363))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_361),X_363)),meet(X_361,complement(X_363))) )],[refute_0_1846,refute_0_5645]) ).
cnf(refute_0_5647,plain,
meet(complement(X_718),meet(X_361,complement(X_363))) = complement(join(X_718,join(complement(X_361),X_363))),
inference(resolve,[$cnf( $equal(meet(complement(X_718),complement(join(complement(X_361),X_363))),complement(join(X_718,join(complement(X_361),X_363)))) )],[refute_0_5644,refute_0_5646]) ).
cnf(refute_0_5648,plain,
complement(join(X_718,join(complement(X_361),X_363))) = meet(X_361,complement(join(X_718,X_363))),
inference(subst,[],[refute_0_5622:[bind(X_119,$fot(X_718)),bind(X_121,$fot(X_363)),bind(X_614,$fot(X_361))]]) ).
cnf(refute_0_5649,plain,
( complement(join(X_718,join(complement(X_361),X_363))) != meet(X_361,complement(join(X_718,X_363)))
| meet(complement(X_718),meet(X_361,complement(X_363))) != complement(join(X_718,join(complement(X_361),X_363)))
| meet(complement(X_718),meet(X_361,complement(X_363))) = meet(X_361,complement(join(X_718,X_363))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_718),meet(X_361,complement(X_363))),complement(join(X_718,join(complement(X_361),X_363)))) ),[1],$fot(meet(X_361,complement(join(X_718,X_363))))]]) ).
cnf(refute_0_5650,plain,
( meet(complement(X_718),meet(X_361,complement(X_363))) != complement(join(X_718,join(complement(X_361),X_363)))
| meet(complement(X_718),meet(X_361,complement(X_363))) = meet(X_361,complement(join(X_718,X_363))) ),
inference(resolve,[$cnf( $equal(complement(join(X_718,join(complement(X_361),X_363))),meet(X_361,complement(join(X_718,X_363)))) )],[refute_0_5648,refute_0_5649]) ).
cnf(refute_0_5651,plain,
meet(complement(X_718),meet(X_361,complement(X_363))) = meet(X_361,complement(join(X_718,X_363))),
inference(resolve,[$cnf( $equal(meet(complement(X_718),meet(X_361,complement(X_363))),complement(join(X_718,join(complement(X_361),X_363)))) )],[refute_0_5647,refute_0_5650]) ).
cnf(refute_0_5652,plain,
meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))) = meet(X_52,complement(join(meet(X_51,X_52),X_51))),
inference(subst,[],[refute_0_5651:[bind(X_361,$fot(X_52)),bind(X_363,$fot(X_51)),bind(X_718,$fot(meet(X_51,X_52)))]]) ).
cnf(refute_0_5653,plain,
( meet(X_52,complement(join(meet(X_51,X_52),X_51))) != meet(X_52,complement(join(X_51,X_51)))
| meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))) != meet(X_52,complement(join(meet(X_51,X_52),X_51)))
| meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))) = meet(X_52,complement(join(X_51,X_51))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))))),bind(Y,$fot(meet(X_52,complement(join(meet(X_51,X_52),X_51))))),bind(Z,$fot(meet(X_52,complement(join(X_51,X_51)))))]]) ).
cnf(refute_0_5654,plain,
( meet(X_52,complement(join(meet(X_51,X_52),X_51))) != meet(X_52,complement(join(X_51,X_51)))
| meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))) = meet(X_52,complement(join(X_51,X_51))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))),meet(X_52,complement(join(meet(X_51,X_52),X_51)))) )],[refute_0_5652,refute_0_5653]) ).
cnf(refute_0_5655,plain,
meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))) = meet(X_52,complement(join(X_51,X_51))),
inference(resolve,[$cnf( $equal(meet(X_52,complement(join(meet(X_51,X_52),X_51))),meet(X_52,complement(join(X_51,X_51)))) )],[refute_0_5643,refute_0_5654]) ).
cnf(refute_0_5656,plain,
( meet(X_52,complement(join(X_51,X_51))) != meet(X_52,complement(X_51))
| meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))) != meet(X_52,complement(join(X_51,X_51)))
| meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))) = meet(X_52,complement(X_51)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))))),bind(Y,$fot(meet(X_52,complement(join(X_51,X_51))))),bind(Z,$fot(meet(X_52,complement(X_51))))]]) ).
cnf(refute_0_5657,plain,
( meet(X_52,complement(join(X_51,X_51))) != meet(X_52,complement(X_51))
| meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))) = meet(X_52,complement(X_51)) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))),meet(X_52,complement(join(X_51,X_51)))) )],[refute_0_5655,refute_0_5656]) ).
cnf(refute_0_5658,plain,
meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))) = meet(X_52,complement(X_51)),
inference(resolve,[$cnf( $equal(meet(X_52,complement(join(X_51,X_51))),meet(X_52,complement(X_51))) )],[refute_0_5495,refute_0_5657]) ).
cnf(refute_0_5659,plain,
join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))) = join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))),
introduced(tautology,[refl,[$fot(join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))))]]) ).
cnf(refute_0_5660,plain,
( join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))) != join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))))
| meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))) != meet(X_52,complement(X_51))
| join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))) = join(complement(X_52),meet(X_52,complement(X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))),join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))))) ),[1,1],$fot(meet(X_52,complement(X_51)))]]) ).
cnf(refute_0_5661,plain,
( meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))) != meet(X_52,complement(X_51))
| join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))) = join(complement(X_52),meet(X_52,complement(X_51))) ),
inference(resolve,[$cnf( $equal(join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))),join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))))) )],[refute_0_5659,refute_0_5660]) ).
cnf(refute_0_5662,plain,
join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))) = join(complement(X_52),meet(X_52,complement(X_51))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))),meet(X_52,complement(X_51))) )],[refute_0_5658,refute_0_5661]) ).
cnf(refute_0_5663,plain,
( join(complement(X_52),meet(X_52,complement(X_51))) != complement(meet(X_52,join(complement(X_52),X_51)))
| join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))) != join(complement(X_52),meet(X_52,complement(X_51)))
| join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))) = complement(meet(X_52,join(complement(X_52),X_51))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))))),bind(Y,$fot(join(complement(X_52),meet(X_52,complement(X_51))))),bind(Z,$fot(complement(meet(X_52,join(complement(X_52),X_51)))))]]) ).
cnf(refute_0_5664,plain,
( join(complement(X_52),meet(X_52,complement(X_51))) != complement(meet(X_52,join(complement(X_52),X_51)))
| join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))) = complement(meet(X_52,join(complement(X_52),X_51))) ),
inference(resolve,[$cnf( $equal(join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))),join(complement(X_52),meet(X_52,complement(X_51)))) )],[refute_0_5662,refute_0_5663]) ).
cnf(refute_0_5665,plain,
join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))) = complement(meet(X_52,join(complement(X_52),X_51))),
inference(resolve,[$cnf( $equal(join(complement(X_52),meet(X_52,complement(X_51))),complement(meet(X_52,join(complement(X_52),X_51)))) )],[refute_0_5486,refute_0_5664]) ).
cnf(refute_0_5666,plain,
( complement(meet(X_51,X_52)) != join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))))
| join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))) != complement(meet(X_52,join(complement(X_52),X_51)))
| complement(meet(X_51,X_52)) = complement(meet(X_52,join(complement(X_52),X_51))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(X_51,X_52)),complement(meet(X_52,join(complement(X_52),X_51)))) ),[0],$fot(join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))))]]) ).
cnf(refute_0_5667,plain,
( complement(meet(X_51,X_52)) != join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))))
| complement(meet(X_51,X_52)) = complement(meet(X_52,join(complement(X_52),X_51))) ),
inference(resolve,[$cnf( $equal(join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51)))),complement(meet(X_52,join(complement(X_52),X_51)))) )],[refute_0_5665,refute_0_5666]) ).
cnf(refute_0_5668,plain,
complement(meet(X_51,X_52)) = complement(meet(X_52,join(complement(X_52),X_51))),
inference(resolve,[$cnf( $equal(complement(meet(X_51,X_52)),join(complement(X_52),meet(complement(meet(X_51,X_52)),meet(X_52,complement(X_51))))) )],[refute_0_5479,refute_0_5667]) ).
cnf(refute_0_5669,plain,
( complement(meet(X_51,X_52)) != complement(meet(X_52,join(complement(X_52),X_51)))
| complement(meet(X_52,join(complement(X_52),X_51))) = complement(meet(X_51,X_52)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(meet(X_51,X_52)))),bind(Y,$fot(complement(meet(X_52,join(complement(X_52),X_51)))))]]) ).
cnf(refute_0_5670,plain,
complement(meet(X_52,join(complement(X_52),X_51))) = complement(meet(X_51,X_52)),
inference(resolve,[$cnf( $equal(complement(meet(X_51,X_52)),complement(meet(X_52,join(complement(X_52),X_51)))) )],[refute_0_5668,refute_0_5669]) ).
cnf(refute_0_5671,plain,
complement(meet(A,join(complement(A),B))) = complement(meet(B,A)),
inference(subst,[],[refute_0_5670:[bind(X_51,$fot(B)),bind(X_52,$fot(A))]]) ).
cnf(refute_0_5672,plain,
join(meet(A,B),complement(meet(A,join(complement(A),B)))) = join(meet(A,B),complement(meet(A,join(complement(A),B)))),
introduced(tautology,[refl,[$fot(join(meet(A,B),complement(meet(A,join(complement(A),B)))))]]) ).
cnf(refute_0_5673,plain,
( complement(meet(A,join(complement(A),B))) != complement(meet(B,A))
| join(meet(A,B),complement(meet(A,join(complement(A),B)))) != join(meet(A,B),complement(meet(A,join(complement(A),B))))
| join(meet(A,B),complement(meet(A,join(complement(A),B)))) = join(meet(A,B),complement(meet(B,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,B),complement(meet(A,join(complement(A),B)))),join(meet(A,B),complement(meet(A,join(complement(A),B))))) ),[1,1],$fot(complement(meet(B,A)))]]) ).
cnf(refute_0_5674,plain,
( complement(meet(A,join(complement(A),B))) != complement(meet(B,A))
| join(meet(A,B),complement(meet(A,join(complement(A),B)))) = join(meet(A,B),complement(meet(B,A))) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),complement(meet(A,join(complement(A),B)))),join(meet(A,B),complement(meet(A,join(complement(A),B))))) )],[refute_0_5672,refute_0_5673]) ).
cnf(refute_0_5675,plain,
join(meet(A,B),complement(meet(A,join(complement(A),B)))) = join(meet(A,B),complement(meet(B,A))),
inference(resolve,[$cnf( $equal(complement(meet(A,join(complement(A),B))),complement(meet(B,A))) )],[refute_0_5671,refute_0_5674]) ).
cnf(refute_0_5676,plain,
( join(meet(A,B),complement(meet(A,join(complement(A),B)))) != join(meet(A,B),complement(meet(B,A)))
| top != join(meet(A,B),complement(meet(A,join(complement(A),B))))
| top = join(meet(A,B),complement(meet(B,A))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(A,B),complement(meet(A,join(complement(A),B))))) ),[1],$fot(join(meet(A,B),complement(meet(B,A))))]]) ).
cnf(refute_0_5677,plain,
( top != join(meet(A,B),complement(meet(A,join(complement(A),B))))
| top = join(meet(A,B),complement(meet(B,A))) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),complement(meet(A,join(complement(A),B)))),join(meet(A,B),complement(meet(B,A)))) )],[refute_0_5675,refute_0_5676]) ).
cnf(refute_0_5678,plain,
top = join(meet(A,B),complement(meet(B,A))),
inference(resolve,[$cnf( $equal(top,join(meet(A,B),complement(meet(A,join(complement(A),B))))) )],[refute_0_5465,refute_0_5677]) ).
cnf(refute_0_5679,plain,
top = join(meet(X_762,X_763),complement(meet(X_763,X_762))),
inference(subst,[],[refute_0_5678:[bind(A,$fot(X_762)),bind(B,$fot(X_763))]]) ).
cnf(refute_0_5680,plain,
( top != join(meet(X_762,X_763),complement(meet(X_763,X_762)))
| join(meet(X_762,X_763),complement(meet(X_763,X_762))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(meet(X_762,X_763),complement(meet(X_763,X_762)))))]]) ).
cnf(refute_0_5681,plain,
join(meet(X_762,X_763),complement(meet(X_763,X_762))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(X_762,X_763),complement(meet(X_763,X_762)))) )],[refute_0_5679,refute_0_5680]) ).
cnf(refute_0_5682,plain,
( join(meet(X_762,X_763),complement(meet(X_763,X_762))) != top
| meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) != complement(join(meet(X_762,X_763),complement(meet(X_763,X_762))))
| meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))),complement(join(meet(X_762,X_763),complement(meet(X_763,X_762))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5683,plain,
( meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) != complement(join(meet(X_762,X_763),complement(meet(X_763,X_762))))
| meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(meet(X_762,X_763),complement(meet(X_763,X_762))),top) )],[refute_0_5681,refute_0_5682]) ).
cnf(refute_0_5684,plain,
meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))),complement(join(meet(X_762,X_763),complement(meet(X_763,X_762))))) )],[refute_0_5412,refute_0_5683]) ).
cnf(refute_0_5685,plain,
join(X_615,complement(X_614)) = join(complement(X_614),X_615),
inference(subst,[],[maddux1_join_commutativity_1:[bind(A,$fot(X_615)),bind(B,$fot(complement(X_614)))]]) ).
cnf(refute_0_5686,plain,
( join(X_615,complement(X_614)) != join(complement(X_614),X_615)
| join(complement(X_614),X_615) = join(X_615,complement(X_614)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_615,complement(X_614)))),bind(Y,$fot(join(complement(X_614),X_615)))]]) ).
cnf(refute_0_5687,plain,
join(complement(X_614),X_615) = join(X_615,complement(X_614)),
inference(resolve,[$cnf( $equal(join(X_615,complement(X_614)),join(complement(X_614),X_615)) )],[refute_0_5685,refute_0_5686]) ).
cnf(refute_0_5688,plain,
( join(complement(X_614),X_615) != join(X_615,complement(X_614))
| meet(X_614,complement(X_615)) != complement(join(complement(X_614),X_615))
| meet(X_614,complement(X_615)) = complement(join(X_615,complement(X_614))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_614,complement(X_615)),complement(join(complement(X_614),X_615))) ),[1,0],$fot(join(X_615,complement(X_614)))]]) ).
cnf(refute_0_5689,plain,
( meet(X_614,complement(X_615)) != complement(join(complement(X_614),X_615))
| meet(X_614,complement(X_615)) = complement(join(X_615,complement(X_614))) ),
inference(resolve,[$cnf( $equal(join(complement(X_614),X_615),join(X_615,complement(X_614))) )],[refute_0_5687,refute_0_5688]) ).
cnf(refute_0_5690,plain,
meet(X_614,complement(X_615)) = complement(join(X_615,complement(X_614))),
inference(resolve,[$cnf( $equal(meet(X_614,complement(X_615)),complement(join(complement(X_614),X_615))) )],[refute_0_2690,refute_0_5689]) ).
cnf(refute_0_5691,plain,
( meet(X_614,complement(X_615)) != complement(join(X_615,complement(X_614)))
| complement(join(X_615,complement(X_614))) = meet(X_614,complement(X_615)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_614,complement(X_615)))),bind(Y,$fot(complement(join(X_615,complement(X_614)))))]]) ).
cnf(refute_0_5692,plain,
complement(join(X_615,complement(X_614))) = meet(X_614,complement(X_615)),
inference(resolve,[$cnf( $equal(meet(X_614,complement(X_615)),complement(join(X_615,complement(X_614)))) )],[refute_0_5690,refute_0_5691]) ).
cnf(refute_0_5693,plain,
complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))) = meet(meet(X_763,X_762),complement(meet(X_762,X_763))),
inference(subst,[],[refute_0_5692:[bind(X_614,$fot(meet(X_763,X_762))),bind(X_615,$fot(meet(X_762,X_763)))]]) ).
cnf(refute_0_5694,plain,
( complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))) != meet(meet(X_763,X_762),complement(meet(X_762,X_763)))
| meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) != complement(join(meet(X_762,X_763),complement(meet(X_763,X_762))))
| meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) = meet(meet(X_763,X_762),complement(meet(X_762,X_763))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))))),bind(Y,$fot(complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))))),bind(Z,$fot(meet(meet(X_763,X_762),complement(meet(X_762,X_763)))))]]) ).
cnf(refute_0_5695,plain,
( complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))) != meet(meet(X_763,X_762),complement(meet(X_762,X_763)))
| meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) = meet(meet(X_763,X_762),complement(meet(X_762,X_763))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))),complement(join(meet(X_762,X_763),complement(meet(X_763,X_762))))) )],[refute_0_5412,refute_0_5694]) ).
cnf(refute_0_5696,plain,
meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) = meet(meet(X_763,X_762),complement(meet(X_762,X_763))),
inference(resolve,[$cnf( $equal(complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))),meet(meet(X_763,X_762),complement(meet(X_762,X_763)))) )],[refute_0_5693,refute_0_5695]) ).
cnf(refute_0_5697,plain,
( meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) != complement(top)
| meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) != meet(meet(X_763,X_762),complement(meet(X_762,X_763)))
| meet(meet(X_763,X_762),complement(meet(X_762,X_763))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))),complement(top)) ),[0],$fot(meet(meet(X_763,X_762),complement(meet(X_762,X_763))))]]) ).
cnf(refute_0_5698,plain,
( meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) != complement(top)
| meet(meet(X_763,X_762),complement(meet(X_762,X_763))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))),meet(meet(X_763,X_762),complement(meet(X_762,X_763)))) )],[refute_0_5696,refute_0_5697]) ).
cnf(refute_0_5699,plain,
( complement(top) != zero
| meet(meet(X_763,X_762),complement(meet(X_762,X_763))) != complement(top)
| meet(meet(X_763,X_762),complement(meet(X_762,X_763))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_5700,plain,
( meet(meet(X_763,X_762),complement(meet(X_762,X_763))) != complement(top)
| meet(meet(X_763,X_762),complement(meet(X_762,X_763))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_5699]) ).
cnf(refute_0_5701,plain,
( meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))) != complement(top)
| meet(meet(X_763,X_762),complement(meet(X_762,X_763))) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),complement(top)) )],[refute_0_5698,refute_0_5700]) ).
cnf(refute_0_5702,plain,
meet(meet(X_763,X_762),complement(meet(X_762,X_763))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(meet(X_762,X_763)),complement(complement(meet(X_763,X_762)))),complement(top)) )],[refute_0_5684,refute_0_5701]) ).
cnf(refute_0_5703,plain,
meet(meet(X_765,X_764),complement(meet(X_764,X_765))) = zero,
inference(subst,[],[refute_0_5702:[bind(X_762,$fot(X_764)),bind(X_763,$fot(X_765))]]) ).
cnf(refute_0_5704,plain,
( complement(meet(X_764,X_765)) != join(meet(meet(X_765,X_764),complement(meet(X_764,X_765))),meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))))
| meet(meet(X_765,X_764),complement(meet(X_764,X_765))) != zero
| complement(meet(X_764,X_765)) = join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_764,X_765)),join(meet(meet(X_765,X_764),complement(meet(X_764,X_765))),meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5705,plain,
( complement(meet(X_764,X_765)) != join(meet(meet(X_765,X_764),complement(meet(X_764,X_765))),meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))))
| complement(meet(X_764,X_765)) = join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_765,X_764),complement(meet(X_764,X_765))),zero) )],[refute_0_5703,refute_0_5704]) ).
cnf(refute_0_5706,plain,
complement(meet(X_764,X_765)) = join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))),
inference(resolve,[$cnf( $equal(complement(meet(X_764,X_765)),join(meet(meet(X_765,X_764),complement(meet(X_764,X_765))),meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))))) )],[refute_0_5411,refute_0_5705]) ).
cnf(refute_0_5707,plain,
complement(meet(X_762,X_763)) = join(complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))),
inference(subst,[],[refute_0_5473:[bind(B,$fot(complement(meet(X_763,X_762)))),bind(X_213,$fot(meet(X_762,X_763)))]]) ).
cnf(refute_0_5708,plain,
( complement(meet(X_762,X_763)) != join(complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762))))
| join(meet(X_762,X_763),complement(meet(X_763,X_762))) != top
| complement(meet(X_762,X_763)) = join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_762,X_763)),join(complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_5709,plain,
( complement(meet(X_762,X_763)) != join(complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762))))
| complement(meet(X_762,X_763)) = join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_762,X_763),complement(meet(X_763,X_762))),top) )],[refute_0_5681,refute_0_5708]) ).
cnf(refute_0_5710,plain,
complement(meet(X_762,X_763)) = join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))),
inference(resolve,[$cnf( $equal(complement(meet(X_762,X_763)),join(complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762))))) )],[refute_0_5707,refute_0_5709]) ).
cnf(refute_0_5711,plain,
complement(complement(meet(X_762,X_763))) = meet(X_762,X_763),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(meet(X_762,X_763)))]]) ).
cnf(refute_0_5712,plain,
join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) = join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))),
introduced(tautology,[refl,[$fot(join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))))]]) ).
cnf(refute_0_5713,plain,
( complement(complement(meet(X_762,X_763))) != meet(X_762,X_763)
| join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) != join(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))
| join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) = join(meet(X_763,X_762),meet(X_762,X_763)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))),join(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))) ),[1,1],$fot(meet(X_762,X_763))]]) ).
cnf(refute_0_5714,plain,
( complement(complement(meet(X_762,X_763))) != meet(X_762,X_763)
| join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) = join(meet(X_763,X_762),meet(X_762,X_763)) ),
inference(resolve,[$cnf( $equal(join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))),join(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))) )],[refute_0_5712,refute_0_5713]) ).
cnf(refute_0_5715,plain,
join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) = join(meet(X_763,X_762),meet(X_762,X_763)),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_762,X_763))),meet(X_762,X_763)) )],[refute_0_5711,refute_0_5714]) ).
cnf(refute_0_5716,plain,
join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)) = join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))),
inference(subst,[],[refute_0_140:[bind(X_119,$fot(meet(X_763,X_762))),bind(X_120,$fot(complement(complement(meet(X_762,X_763)))))]]) ).
cnf(refute_0_5717,plain,
meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))) = join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),
inference(subst,[],[refute_0_940:[bind(X_69,$fot(join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))))]]) ).
cnf(refute_0_5718,plain,
( join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)) != join(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))
| meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))) != join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))
| meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))) = join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))))),bind(Y,$fot(join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))),bind(Z,$fot(join(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))))]]) ).
cnf(refute_0_5719,plain,
( join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)) != join(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))
| meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))) = join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))),join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))) )],[refute_0_5717,refute_0_5718]) ).
cnf(refute_0_5720,plain,
meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))) = join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),join(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))) )],[refute_0_5716,refute_0_5719]) ).
cnf(refute_0_5721,plain,
( join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) != join(meet(X_763,X_762),meet(X_762,X_763))
| meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))) != join(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))
| meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))) = join(meet(X_763,X_762),meet(X_762,X_763)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))))),bind(Y,$fot(join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))))),bind(Z,$fot(join(meet(X_763,X_762),meet(X_762,X_763))))]]) ).
cnf(refute_0_5722,plain,
( join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) != join(meet(X_763,X_762),meet(X_762,X_763))
| meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))) = join(meet(X_763,X_762),meet(X_762,X_763)) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))),join(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))) )],[refute_0_5720,refute_0_5721]) ).
cnf(refute_0_5723,plain,
meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))) = join(meet(X_763,X_762),meet(X_762,X_763)),
inference(resolve,[$cnf( $equal(join(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))),join(meet(X_763,X_762),meet(X_762,X_763))) )],[refute_0_5715,refute_0_5722]) ).
cnf(refute_0_5724,plain,
complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))) = complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))))]]) ).
cnf(refute_0_5725,plain,
( complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))) != complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))))
| meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))) != join(meet(X_763,X_762),meet(X_762,X_763))
| complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))) = complement(join(meet(X_763,X_762),meet(X_762,X_763))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))),complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))))) ),[1,0],$fot(join(meet(X_763,X_762),meet(X_762,X_763)))]]) ).
cnf(refute_0_5726,plain,
( meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))) != join(meet(X_763,X_762),meet(X_762,X_763))
| complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))) = complement(join(meet(X_763,X_762),meet(X_762,X_763))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))),complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))))) )],[refute_0_5724,refute_0_5725]) ).
cnf(refute_0_5727,plain,
complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))) = complement(join(meet(X_763,X_762),meet(X_762,X_763))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))),join(meet(X_763,X_762),meet(X_762,X_763))) )],[refute_0_5723,refute_0_5726]) ).
cnf(refute_0_5728,plain,
join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))) = complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))),
inference(subst,[],[refute_0_5485:[bind(X_614,$fot(top)),bind(X_716,$fot(complement(meet(X_762,X_763)))),bind(X_717,$fot(meet(X_763,X_762)))]]) ).
cnf(refute_0_5729,plain,
( complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))) != complement(join(meet(X_763,X_762),meet(X_762,X_763)))
| join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))) != complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))))
| join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))) = complement(join(meet(X_763,X_762),meet(X_762,X_763))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))))),bind(Y,$fot(complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))))),bind(Z,$fot(complement(join(meet(X_763,X_762),meet(X_762,X_763)))))]]) ).
cnf(refute_0_5730,plain,
( complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))) != complement(join(meet(X_763,X_762),meet(X_762,X_763)))
| join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))) = complement(join(meet(X_763,X_762),meet(X_762,X_763))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))),complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762))))) )],[refute_0_5728,refute_0_5729]) ).
cnf(refute_0_5731,plain,
join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))) = complement(join(meet(X_763,X_762),meet(X_762,X_763))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))),complement(join(meet(X_763,X_762),meet(X_762,X_763)))) )],[refute_0_5727,refute_0_5730]) ).
cnf(refute_0_5732,plain,
( complement(meet(X_762,X_763)) != join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762))))
| join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))) != complement(join(meet(X_763,X_762),meet(X_762,X_763)))
| complement(meet(X_762,X_763)) = complement(join(meet(X_763,X_762),meet(X_762,X_763))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(X_762,X_763)),complement(join(meet(X_763,X_762),meet(X_762,X_763)))) ),[0],$fot(join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))))]]) ).
cnf(refute_0_5733,plain,
( complement(meet(X_762,X_763)) != join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762))))
| complement(meet(X_762,X_763)) = complement(join(meet(X_763,X_762),meet(X_762,X_763))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762)))),complement(join(meet(X_763,X_762),meet(X_762,X_763)))) )],[refute_0_5731,refute_0_5732]) ).
cnf(refute_0_5734,plain,
complement(meet(X_762,X_763)) = complement(join(meet(X_763,X_762),meet(X_762,X_763))),
inference(resolve,[$cnf( $equal(complement(meet(X_762,X_763)),join(complement(top),meet(complement(meet(X_762,X_763)),complement(meet(X_763,X_762))))) )],[refute_0_5710,refute_0_5733]) ).
cnf(refute_0_5735,plain,
( complement(meet(X_762,X_763)) != complement(join(meet(X_763,X_762),meet(X_762,X_763)))
| complement(join(meet(X_763,X_762),meet(X_762,X_763))) = complement(meet(X_762,X_763)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(meet(X_762,X_763)))),bind(Y,$fot(complement(join(meet(X_763,X_762),meet(X_762,X_763)))))]]) ).
cnf(refute_0_5736,plain,
complement(join(meet(X_763,X_762),meet(X_762,X_763))) = complement(meet(X_762,X_763)),
inference(resolve,[$cnf( $equal(complement(meet(X_762,X_763)),complement(join(meet(X_763,X_762),meet(X_762,X_763)))) )],[refute_0_5734,refute_0_5735]) ).
cnf(refute_0_5737,plain,
complement(join(meet(X_764,X_765),meet(X_765,X_764))) = complement(meet(X_765,X_764)),
inference(subst,[],[refute_0_5736:[bind(X_762,$fot(X_765)),bind(X_763,$fot(X_764))]]) ).
cnf(refute_0_5738,plain,
meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))) = complement(join(meet(X_764,X_765),meet(X_765,X_764))),
inference(subst,[],[refute_0_1843:[bind(X_25,$fot(meet(X_764,X_765))),bind(X_615,$fot(meet(X_765,X_764)))]]) ).
cnf(refute_0_5739,plain,
( complement(join(meet(X_764,X_765),meet(X_765,X_764))) != complement(meet(X_765,X_764))
| meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))) != complement(join(meet(X_764,X_765),meet(X_765,X_764)))
| meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))) = complement(meet(X_765,X_764)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))))),bind(Y,$fot(complement(join(meet(X_764,X_765),meet(X_765,X_764))))),bind(Z,$fot(complement(meet(X_765,X_764))))]]) ).
cnf(refute_0_5740,plain,
( complement(join(meet(X_764,X_765),meet(X_765,X_764))) != complement(meet(X_765,X_764))
| meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))) = complement(meet(X_765,X_764)) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))),complement(join(meet(X_764,X_765),meet(X_765,X_764)))) )],[refute_0_5738,refute_0_5739]) ).
cnf(refute_0_5741,plain,
meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))) = complement(meet(X_765,X_764)),
inference(resolve,[$cnf( $equal(complement(join(meet(X_764,X_765),meet(X_765,X_764))),complement(meet(X_765,X_764))) )],[refute_0_5737,refute_0_5740]) ).
cnf(refute_0_5742,plain,
join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))) = meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))))]]) ).
cnf(refute_0_5743,plain,
( join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))) != meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))
| meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))) != complement(meet(X_765,X_764))
| join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))) = complement(meet(X_765,X_764)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))))),bind(Y,$fot(meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))))),bind(Z,$fot(complement(meet(X_765,X_764))))]]) ).
cnf(refute_0_5744,plain,
( meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))) != complement(meet(X_765,X_764))
| join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))) = complement(meet(X_765,X_764)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))),meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))) )],[refute_0_5742,refute_0_5743]) ).
cnf(refute_0_5745,plain,
join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))) = complement(meet(X_765,X_764)),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))),complement(meet(X_765,X_764))) )],[refute_0_5741,refute_0_5744]) ).
cnf(refute_0_5746,plain,
( complement(meet(X_764,X_765)) != join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))))
| join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))) != complement(meet(X_765,X_764))
| complement(meet(X_764,X_765)) = complement(meet(X_765,X_764)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))) ),[0],$fot(join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))))]]) ).
cnf(refute_0_5747,plain,
( complement(meet(X_764,X_765)) != join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))))
| complement(meet(X_764,X_765)) = complement(meet(X_765,X_764)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764)))),complement(meet(X_765,X_764))) )],[refute_0_5745,refute_0_5746]) ).
cnf(refute_0_5748,plain,
complement(meet(X_764,X_765)) = complement(meet(X_765,X_764)),
inference(resolve,[$cnf( $equal(complement(meet(X_764,X_765)),join(zero,meet(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))))) )],[refute_0_5706,refute_0_5747]) ).
cnf(refute_0_5749,plain,
( complement(meet(X_764,X_765)) != complement(meet(X_765,X_764))
| complement(meet(X_765,X_764)) = complement(meet(X_764,X_765)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(meet(X_764,X_765)))),bind(Y,$fot(complement(meet(X_765,X_764))))]]) ).
cnf(refute_0_5750,plain,
complement(meet(X_765,X_764)) = complement(meet(X_764,X_765)),
inference(resolve,[$cnf( $equal(complement(meet(X_764,X_765)),complement(meet(X_765,X_764))) )],[refute_0_5748,refute_0_5749]) ).
cnf(refute_0_5751,plain,
complement(meet(composition(top,composition(X_949,top)),composition(X_949,top))) = complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))),
inference(subst,[],[refute_0_5750:[bind(X_764,$fot(composition(X_949,top))),bind(X_765,$fot(composition(top,composition(X_949,top))))]]) ).
cnf(refute_0_5752,plain,
complement(meet(X_614,complement(composition(complement(composition(X_949,top)),top)))) = join(complement(X_614),composition(complement(composition(X_949,top)),top)),
inference(subst,[],[refute_0_2695:[bind(X_615,$fot(composition(complement(composition(X_949,top)),top)))]]) ).
cnf(refute_0_5753,plain,
( complement(composition(complement(composition(X_949,top)),top)) != composition(X_949,top)
| complement(meet(X_614,complement(composition(complement(composition(X_949,top)),top)))) != join(complement(X_614),composition(complement(composition(X_949,top)),top))
| complement(meet(X_614,composition(X_949,top))) = join(complement(X_614),composition(complement(composition(X_949,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_614,complement(composition(complement(composition(X_949,top)),top)))),join(complement(X_614),composition(complement(composition(X_949,top)),top))) ),[0,0,1],$fot(composition(X_949,top))]]) ).
cnf(refute_0_5754,plain,
( complement(meet(X_614,complement(composition(complement(composition(X_949,top)),top)))) != join(complement(X_614),composition(complement(composition(X_949,top)),top))
| complement(meet(X_614,composition(X_949,top))) = join(complement(X_614),composition(complement(composition(X_949,top)),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(X_949,top)),top)),composition(X_949,top)) )],[refute_0_5383,refute_0_5753]) ).
cnf(refute_0_5755,plain,
complement(meet(X_614,composition(X_949,top))) = join(complement(X_614),composition(complement(composition(X_949,top)),top)),
inference(resolve,[$cnf( $equal(complement(meet(X_614,complement(composition(complement(composition(X_949,top)),top)))),join(complement(X_614),composition(complement(composition(X_949,top)),top))) )],[refute_0_5752,refute_0_5754]) ).
cnf(refute_0_5756,plain,
( complement(meet(X_614,composition(X_949,top))) != join(complement(X_614),composition(complement(composition(X_949,top)),top))
| join(complement(X_614),composition(complement(composition(X_949,top)),top)) = complement(meet(X_614,composition(X_949,top))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(meet(X_614,composition(X_949,top))))),bind(Y,$fot(join(complement(X_614),composition(complement(composition(X_949,top)),top))))]]) ).
cnf(refute_0_5757,plain,
join(complement(X_614),composition(complement(composition(X_949,top)),top)) = complement(meet(X_614,composition(X_949,top))),
inference(resolve,[$cnf( $equal(complement(meet(X_614,composition(X_949,top))),join(complement(X_614),composition(complement(composition(X_949,top)),top))) )],[refute_0_5755,refute_0_5756]) ).
cnf(refute_0_5758,plain,
join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)) = complement(meet(composition(top,composition(X_949,top)),composition(X_949,top))),
inference(subst,[],[refute_0_5757:[bind(X_614,$fot(composition(top,composition(X_949,top))))]]) ).
cnf(refute_0_5759,plain,
( complement(meet(composition(top,composition(X_949,top)),composition(X_949,top))) != complement(meet(composition(X_949,top),composition(top,composition(X_949,top))))
| join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)) != complement(meet(composition(top,composition(X_949,top)),composition(X_949,top)))
| join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)) = complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)))),bind(Y,$fot(complement(meet(composition(top,composition(X_949,top)),composition(X_949,top))))),bind(Z,$fot(complement(meet(composition(X_949,top),composition(top,composition(X_949,top))))))]]) ).
cnf(refute_0_5760,plain,
( complement(meet(composition(top,composition(X_949,top)),composition(X_949,top))) != complement(meet(composition(X_949,top),composition(top,composition(X_949,top))))
| join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)) = complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)),complement(meet(composition(top,composition(X_949,top)),composition(X_949,top)))) )],[refute_0_5758,refute_0_5759]) ).
cnf(refute_0_5761,plain,
join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)) = complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))),
inference(resolve,[$cnf( $equal(complement(meet(composition(top,composition(X_949,top)),composition(X_949,top))),complement(meet(composition(X_949,top),composition(top,composition(X_949,top))))) )],[refute_0_5751,refute_0_5760]) ).
cnf(refute_0_5762,plain,
( complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))) != complement(composition(X_949,top))
| join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)) != complement(meet(composition(X_949,top),composition(top,composition(X_949,top))))
| join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)) = complement(composition(X_949,top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)))),bind(Y,$fot(complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))))),bind(Z,$fot(complement(composition(X_949,top))))]]) ).
cnf(refute_0_5763,plain,
( complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))) != complement(composition(X_949,top))
| join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)) = complement(composition(X_949,top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)),complement(meet(composition(X_949,top),composition(top,composition(X_949,top))))) )],[refute_0_5761,refute_0_5762]) ).
cnf(refute_0_5764,plain,
join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)) = complement(composition(X_949,top)),
inference(resolve,[$cnf( $equal(complement(meet(composition(X_949,top),composition(top,composition(X_949,top)))),complement(composition(X_949,top))) )],[refute_0_5404,refute_0_5763]) ).
cnf(refute_0_5765,plain,
join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))) = join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)),
inference(subst,[],[refute_0_140:[bind(X_119,$fot(complement(composition(top,composition(X_949,top))))),bind(X_120,$fot(composition(complement(composition(X_949,top)),top)))]]) ).
cnf(refute_0_5766,plain,
( join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)) != complement(composition(X_949,top))
| join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))) != join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top))
| join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))) = complement(composition(X_949,top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))))),bind(Y,$fot(join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)))),bind(Z,$fot(complement(composition(X_949,top))))]]) ).
cnf(refute_0_5767,plain,
( join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)) != complement(composition(X_949,top))
| join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))) = complement(composition(X_949,top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))),join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top))) )],[refute_0_5765,refute_0_5766]) ).
cnf(refute_0_5768,plain,
join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))) = complement(composition(X_949,top)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(X_949,top))),composition(complement(composition(X_949,top)),top)),complement(composition(X_949,top))) )],[refute_0_5764,refute_0_5767]) ).
cnf(refute_0_5769,plain,
composition(X_949,composition(top,top)) = composition(X_949,composition(top,top)),
introduced(tautology,[refl,[$fot(composition(X_949,composition(top,top)))]]) ).
cnf(refute_0_5770,plain,
( composition(X_949,composition(top,top)) != composition(X_949,composition(top,top))
| composition(top,top) != top
| composition(X_949,composition(top,top)) = composition(X_949,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_949,composition(top,top)),composition(X_949,composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5771,plain,
( composition(top,top) != top
| composition(X_949,composition(top,top)) = composition(X_949,top) ),
inference(resolve,[$cnf( $equal(composition(X_949,composition(top,top)),composition(X_949,composition(top,top))) )],[refute_0_5769,refute_0_5770]) ).
cnf(refute_0_5772,plain,
composition(X_949,composition(top,top)) = composition(X_949,top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_2892,refute_0_5771]) ).
cnf(refute_0_5773,plain,
composition(composition(X_949,top),top) = composition(X_949,composition(top,top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_949)),bind(B,$fot(top)),bind(C,$fot(top))]]) ).
cnf(refute_0_5774,plain,
( composition(X_949,composition(top,top)) != composition(X_949,top)
| composition(composition(X_949,top),top) != composition(X_949,composition(top,top))
| composition(composition(X_949,top),top) = composition(X_949,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(composition(X_949,top),top))),bind(Y,$fot(composition(X_949,composition(top,top)))),bind(Z,$fot(composition(X_949,top)))]]) ).
cnf(refute_0_5775,plain,
( composition(X_949,composition(top,top)) != composition(X_949,top)
| composition(composition(X_949,top),top) = composition(X_949,top) ),
inference(resolve,[$cnf( $equal(composition(composition(X_949,top),top),composition(X_949,composition(top,top))) )],[refute_0_5773,refute_0_5774]) ).
cnf(refute_0_5776,plain,
composition(composition(X_949,top),top) = composition(X_949,top),
inference(resolve,[$cnf( $equal(composition(X_949,composition(top,top)),composition(X_949,top)) )],[refute_0_5772,refute_0_5775]) ).
cnf(refute_0_5777,plain,
composition(top,composition(composition(X_949,top),top)) = composition(top,composition(composition(X_949,top),top)),
introduced(tautology,[refl,[$fot(composition(top,composition(composition(X_949,top),top)))]]) ).
cnf(refute_0_5778,plain,
( composition(composition(X_949,top),top) != composition(X_949,top)
| composition(top,composition(composition(X_949,top),top)) != composition(top,composition(composition(X_949,top),top))
| composition(top,composition(composition(X_949,top),top)) = composition(top,composition(X_949,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(X_949,top),top)),composition(top,composition(composition(X_949,top),top))) ),[1,1],$fot(composition(X_949,top))]]) ).
cnf(refute_0_5779,plain,
( composition(composition(X_949,top),top) != composition(X_949,top)
| composition(top,composition(composition(X_949,top),top)) = composition(top,composition(X_949,top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(X_949,top),top)),composition(top,composition(composition(X_949,top),top))) )],[refute_0_5777,refute_0_5778]) ).
cnf(refute_0_5780,plain,
composition(top,composition(composition(X_949,top),top)) = composition(top,composition(X_949,top)),
inference(resolve,[$cnf( $equal(composition(composition(X_949,top),top),composition(X_949,top)) )],[refute_0_5776,refute_0_5779]) ).
cnf(refute_0_5781,plain,
complement(composition(top,composition(composition(X_949,top),top))) = complement(composition(top,composition(composition(X_949,top),top))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(composition(X_949,top),top))))]]) ).
cnf(refute_0_5782,plain,
( complement(composition(top,composition(composition(X_949,top),top))) != complement(composition(top,composition(composition(X_949,top),top)))
| composition(top,composition(composition(X_949,top),top)) != composition(top,composition(X_949,top))
| complement(composition(top,composition(composition(X_949,top),top))) = complement(composition(top,composition(X_949,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(composition(X_949,top),top))),complement(composition(top,composition(composition(X_949,top),top)))) ),[1,0],$fot(composition(top,composition(X_949,top)))]]) ).
cnf(refute_0_5783,plain,
( composition(top,composition(composition(X_949,top),top)) != composition(top,composition(X_949,top))
| complement(composition(top,composition(composition(X_949,top),top))) = complement(composition(top,composition(X_949,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(composition(X_949,top),top))),complement(composition(top,composition(composition(X_949,top),top)))) )],[refute_0_5781,refute_0_5782]) ).
cnf(refute_0_5784,plain,
complement(composition(top,composition(composition(X_949,top),top))) = complement(composition(top,composition(X_949,top))),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(X_949,top),top)),composition(top,composition(X_949,top))) )],[refute_0_5780,refute_0_5783]) ).
cnf(refute_0_5785,plain,
join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))) = join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))),
introduced(tautology,[refl,[$fot(join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))))]]) ).
cnf(refute_0_5786,plain,
( complement(composition(top,composition(composition(X_949,top),top))) != complement(composition(top,composition(X_949,top)))
| join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))) != join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top))))
| join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))) = join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))),join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top))))) ),[1,1],$fot(complement(composition(top,composition(X_949,top))))]]) ).
cnf(refute_0_5787,plain,
( complement(composition(top,composition(composition(X_949,top),top))) != complement(composition(top,composition(X_949,top)))
| join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))) = join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))),join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top))))) )],[refute_0_5785,refute_0_5786]) ).
cnf(refute_0_5788,plain,
join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))) = join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(composition(X_949,top),top))),complement(composition(top,composition(X_949,top)))) )],[refute_0_5784,refute_0_5787]) ).
cnf(refute_0_5789,plain,
( join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))) != complement(composition(X_949,top))
| join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))) != join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top))))
| join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))) = complement(composition(X_949,top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))))),bind(Y,$fot(join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))))),bind(Z,$fot(complement(composition(X_949,top))))]]) ).
cnf(refute_0_5790,plain,
( join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))) != complement(composition(X_949,top))
| join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))) = complement(composition(X_949,top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))),join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top))))) )],[refute_0_5788,refute_0_5789]) ).
cnf(refute_0_5791,plain,
join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))) = complement(composition(X_949,top)),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(X_949,top)))),complement(composition(X_949,top))) )],[refute_0_5768,refute_0_5790]) ).
cnf(refute_0_5792,plain,
( composition(complement(composition(X_949,top)),top) != join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top))))
| join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))) != complement(composition(X_949,top))
| composition(complement(composition(X_949,top)),top) = complement(composition(X_949,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(composition(X_949,top)),top),complement(composition(X_949,top))) ),[0],$fot(join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))))]]) ).
cnf(refute_0_5793,plain,
( composition(complement(composition(X_949,top)),top) != join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top))))
| composition(complement(composition(X_949,top)),top) = complement(composition(X_949,top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top)))),complement(composition(X_949,top))) )],[refute_0_5791,refute_0_5792]) ).
cnf(refute_0_5794,plain,
composition(complement(composition(X_949,top)),top) = complement(composition(X_949,top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_949,top)),top),join(composition(complement(composition(X_949,top)),top),complement(composition(top,composition(composition(X_949,top),top))))) )],[refute_0_5386,refute_0_5793]) ).
cnf(refute_0_5795,plain,
composition(complement(composition(X_428,top)),top) = complement(composition(X_428,top)),
inference(subst,[],[refute_0_5794:[bind(X_949,$fot(X_428))]]) ).
cnf(refute_0_5796,plain,
join(one,composition(complement(composition(X_428,top)),top)) = join(one,composition(complement(composition(X_428,top)),top)),
introduced(tautology,[refl,[$fot(join(one,composition(complement(composition(X_428,top)),top)))]]) ).
cnf(refute_0_5797,plain,
( composition(complement(composition(X_428,top)),top) != complement(composition(X_428,top))
| join(one,composition(complement(composition(X_428,top)),top)) != join(one,composition(complement(composition(X_428,top)),top))
| join(one,composition(complement(composition(X_428,top)),top)) = join(one,complement(composition(X_428,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(complement(composition(X_428,top)),top)),join(one,composition(complement(composition(X_428,top)),top))) ),[1,1],$fot(complement(composition(X_428,top)))]]) ).
cnf(refute_0_5798,plain,
( composition(complement(composition(X_428,top)),top) != complement(composition(X_428,top))
| join(one,composition(complement(composition(X_428,top)),top)) = join(one,complement(composition(X_428,top))) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(composition(X_428,top)),top)),join(one,composition(complement(composition(X_428,top)),top))) )],[refute_0_5796,refute_0_5797]) ).
cnf(refute_0_5799,plain,
join(one,composition(complement(composition(X_428,top)),top)) = join(one,complement(composition(X_428,top))),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_428,top)),top),complement(composition(X_428,top))) )],[refute_0_5795,refute_0_5798]) ).
cnf(refute_0_5800,plain,
composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))) = composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))),
introduced(tautology,[refl,[$fot(composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))))]]) ).
cnf(refute_0_5801,plain,
( composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))) != composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))
| join(one,composition(complement(composition(X_428,top)),top)) != join(one,complement(composition(X_428,top)))
| composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))) = composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) ),[1,0],$fot(join(one,complement(composition(X_428,top))))]]) ).
cnf(refute_0_5802,plain,
( join(one,composition(complement(composition(X_428,top)),top)) != join(one,complement(composition(X_428,top)))
| composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))) = composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428)))) ),
inference(resolve,[$cnf( $equal(composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) )],[refute_0_5800,refute_0_5801]) ).
cnf(refute_0_5803,plain,
composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))) = composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428)))),
inference(resolve,[$cnf( $equal(join(one,composition(complement(composition(X_428,top)),top)),join(one,complement(composition(X_428,top)))) )],[refute_0_5799,refute_0_5802]) ).
cnf(refute_0_5804,plain,
join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) = join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))),
introduced(tautology,[refl,[$fot(join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))))]]) ).
cnf(refute_0_5805,plain,
( composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))) != composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428))))
| join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) != join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))))
| join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) = join(complement(X_428),composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))),join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))))) ),[1,1],$fot(composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428)))))]]) ).
cnf(refute_0_5806,plain,
( composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))) != composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428))))
| join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) = join(complement(X_428),composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))),join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))))) )],[refute_0_5804,refute_0_5805]) ).
cnf(refute_0_5807,plain,
join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) = join(complement(X_428),composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428))))),
inference(resolve,[$cnf( $equal(composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428)))),composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428))))) )],[refute_0_5803,refute_0_5806]) ).
cnf(refute_0_5808,plain,
( join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) != complement(X_428)
| join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) != join(complement(X_428),composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428)))))
| join(complement(X_428),composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428))))) = complement(X_428) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))),complement(X_428)) ),[0],$fot(join(complement(X_428),composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428))))))]]) ).
cnf(refute_0_5809,plain,
( join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))) != complement(X_428)
| join(complement(X_428),composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428))))) = complement(X_428) ),
inference(resolve,[$cnf( $equal(join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))),join(complement(X_428),composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428)))))) )],[refute_0_5807,refute_0_5808]) ).
cnf(refute_0_5810,plain,
join(complement(X_428),composition(join(one,complement(composition(X_428,top))),composition(converse(X_429),complement(composition(X_429,X_428))))) = complement(X_428),
inference(resolve,[$cnf( $equal(join(complement(X_428),composition(join(one,composition(complement(composition(X_428,top)),top)),composition(converse(X_429),complement(composition(X_429,X_428))))),complement(X_428)) )],[refute_0_5216,refute_0_5809]) ).
cnf(refute_0_5811,plain,
join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))))))) = complement(complement(composition(X_429,top))),
inference(subst,[],[refute_0_5810:[bind(X_428,$fot(complement(composition(X_429,top)))),bind(X_429,$fot(converse(composition(X_429,join(one,X_152)))))]]) ).
cnf(refute_0_5812,plain,
join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,composition(join(one,X_152),top))))) = complement(top),
inference(subst,[],[refute_0_2803:[bind(B,$fot(top)),bind(X_64,$fot(X_429)),bind(X_65,$fot(join(one,X_152)))]]) ).
cnf(refute_0_5813,plain,
composition(join(join(complement(composition(top,top)),X_152),one),top) = join(top,composition(join(complement(composition(top,top)),X_152),top)),
inference(subst,[],[refute_0_57:[bind(X_147,$fot(join(complement(composition(top,top)),X_152))),bind(X_149,$fot(top))]]) ).
cnf(refute_0_5814,plain,
composition(join(complement(composition(top,top)),X_152),top) = composition(X_152,top),
inference(subst,[],[refute_0_2851:[bind(X_148,$fot(X_152))]]) ).
cnf(refute_0_5815,plain,
( composition(join(complement(composition(top,top)),X_152),top) != composition(X_152,top)
| composition(join(join(complement(composition(top,top)),X_152),one),top) != join(top,composition(join(complement(composition(top,top)),X_152),top))
| composition(join(join(complement(composition(top,top)),X_152),one),top) = join(top,composition(X_152,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(complement(composition(top,top)),X_152),one),top),join(top,composition(join(complement(composition(top,top)),X_152),top))) ),[1,1],$fot(composition(X_152,top))]]) ).
cnf(refute_0_5816,plain,
( composition(join(join(complement(composition(top,top)),X_152),one),top) != join(top,composition(join(complement(composition(top,top)),X_152),top))
| composition(join(join(complement(composition(top,top)),X_152),one),top) = join(top,composition(X_152,top)) ),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,top)),X_152),top),composition(X_152,top)) )],[refute_0_5814,refute_0_5815]) ).
cnf(refute_0_5817,plain,
composition(join(join(complement(composition(top,top)),X_152),one),top) = join(top,composition(X_152,top)),
inference(resolve,[$cnf( $equal(composition(join(join(complement(composition(top,top)),X_152),one),top),join(top,composition(join(complement(composition(top,top)),X_152),top))) )],[refute_0_5813,refute_0_5816]) ).
cnf(refute_0_5818,plain,
composition(join(join(complement(composition(top,top)),X_152),one),top) = composition(join(one,join(complement(composition(top,top)),X_152)),top),
inference(subst,[],[refute_0_79:[bind(X_150,$fot(join(complement(composition(top,top)),X_152))),bind(X_151,$fot(top))]]) ).
cnf(refute_0_5819,plain,
( composition(join(join(complement(composition(top,top)),X_152),one),top) != composition(join(one,join(complement(composition(top,top)),X_152)),top)
| composition(join(join(complement(composition(top,top)),X_152),one),top) != join(top,composition(X_152,top))
| composition(join(one,join(complement(composition(top,top)),X_152)),top) = join(top,composition(X_152,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(complement(composition(top,top)),X_152),one),top),join(top,composition(X_152,top))) ),[0],$fot(composition(join(one,join(complement(composition(top,top)),X_152)),top))]]) ).
cnf(refute_0_5820,plain,
( composition(join(join(complement(composition(top,top)),X_152),one),top) != join(top,composition(X_152,top))
| composition(join(one,join(complement(composition(top,top)),X_152)),top) = join(top,composition(X_152,top)) ),
inference(resolve,[$cnf( $equal(composition(join(join(complement(composition(top,top)),X_152),one),top),composition(join(one,join(complement(composition(top,top)),X_152)),top)) )],[refute_0_5818,refute_0_5819]) ).
cnf(refute_0_5821,plain,
join(top,composition(X_152,top)) = composition(join(X_152,one),top),
inference(subst,[],[refute_0_73:[bind(X_147,$fot(X_152)),bind(X_149,$fot(top))]]) ).
cnf(refute_0_5822,plain,
( composition(join(one,join(complement(composition(top,top)),X_152)),top) != join(top,composition(X_152,top))
| join(top,composition(X_152,top)) != composition(join(X_152,one),top)
| composition(join(one,join(complement(composition(top,top)),X_152)),top) = composition(join(X_152,one),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(complement(composition(top,top)),X_152)),top),composition(join(X_152,one),top)) ),[0],$fot(join(top,composition(X_152,top)))]]) ).
cnf(refute_0_5823,plain,
( composition(join(one,join(complement(composition(top,top)),X_152)),top) != join(top,composition(X_152,top))
| composition(join(one,join(complement(composition(top,top)),X_152)),top) = composition(join(X_152,one),top) ),
inference(resolve,[$cnf( $equal(join(top,composition(X_152,top)),composition(join(X_152,one),top)) )],[refute_0_5821,refute_0_5822]) ).
cnf(refute_0_5824,plain,
( composition(join(join(complement(composition(top,top)),X_152),one),top) != join(top,composition(X_152,top))
| composition(join(one,join(complement(composition(top,top)),X_152)),top) = composition(join(X_152,one),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(complement(composition(top,top)),X_152)),top),join(top,composition(X_152,top))) )],[refute_0_5820,refute_0_5823]) ).
cnf(refute_0_5825,plain,
composition(join(one,join(complement(composition(top,top)),X_152)),top) = composition(join(X_152,one),top),
inference(resolve,[$cnf( $equal(composition(join(join(complement(composition(top,top)),X_152),one),top),join(top,composition(X_152,top))) )],[refute_0_5817,refute_0_5824]) ).
cnf(refute_0_5826,plain,
composition(join(A,join(complement(composition(top,top)),X_152)),top) = join(composition(A,top),composition(join(complement(composition(top,top)),X_152),top)),
inference(subst,[],[composition_distributivity_7:[bind(B,$fot(join(complement(composition(top,top)),X_152))),bind(C,$fot(top))]]) ).
cnf(refute_0_5827,plain,
( composition(join(A,join(complement(composition(top,top)),X_152)),top) != join(composition(A,top),composition(join(complement(composition(top,top)),X_152),top))
| composition(join(complement(composition(top,top)),X_152),top) != composition(X_152,top)
| composition(join(A,join(complement(composition(top,top)),X_152)),top) = join(composition(A,top),composition(X_152,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(A,join(complement(composition(top,top)),X_152)),top),join(composition(A,top),composition(join(complement(composition(top,top)),X_152),top))) ),[1,1],$fot(composition(X_152,top))]]) ).
cnf(refute_0_5828,plain,
( composition(join(A,join(complement(composition(top,top)),X_152)),top) != join(composition(A,top),composition(join(complement(composition(top,top)),X_152),top))
| composition(join(A,join(complement(composition(top,top)),X_152)),top) = join(composition(A,top),composition(X_152,top)) ),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,top)),X_152),top),composition(X_152,top)) )],[refute_0_5814,refute_0_5827]) ).
cnf(refute_0_5829,plain,
composition(join(A,join(complement(composition(top,top)),X_152)),top) = join(composition(A,top),composition(X_152,top)),
inference(resolve,[$cnf( $equal(composition(join(A,join(complement(composition(top,top)),X_152)),top),join(composition(A,top),composition(join(complement(composition(top,top)),X_152),top))) )],[refute_0_5826,refute_0_5828]) ).
cnf(refute_0_5830,plain,
join(composition(A,top),composition(X_152,top)) = composition(join(A,X_152),top),
inference(subst,[],[refute_0_4572:[bind(B,$fot(X_152)),bind(C,$fot(top))]]) ).
cnf(refute_0_5831,plain,
( composition(join(A,join(complement(composition(top,top)),X_152)),top) != join(composition(A,top),composition(X_152,top))
| join(composition(A,top),composition(X_152,top)) != composition(join(A,X_152),top)
| composition(join(A,join(complement(composition(top,top)),X_152)),top) = composition(join(A,X_152),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(A,join(complement(composition(top,top)),X_152)),top),composition(join(A,X_152),top)) ),[0],$fot(join(composition(A,top),composition(X_152,top)))]]) ).
cnf(refute_0_5832,plain,
( composition(join(A,join(complement(composition(top,top)),X_152)),top) != join(composition(A,top),composition(X_152,top))
| composition(join(A,join(complement(composition(top,top)),X_152)),top) = composition(join(A,X_152),top) ),
inference(resolve,[$cnf( $equal(join(composition(A,top),composition(X_152,top)),composition(join(A,X_152),top)) )],[refute_0_5830,refute_0_5831]) ).
cnf(refute_0_5833,plain,
composition(join(A,join(complement(composition(top,top)),X_152)),top) = composition(join(A,X_152),top),
inference(resolve,[$cnf( $equal(composition(join(A,join(complement(composition(top,top)),X_152)),top),join(composition(A,top),composition(X_152,top))) )],[refute_0_5829,refute_0_5832]) ).
cnf(refute_0_5834,plain,
composition(join(one,join(complement(composition(top,top)),X_152)),top) = composition(join(one,X_152),top),
inference(subst,[],[refute_0_5833:[bind(A,$fot(one))]]) ).
cnf(refute_0_5835,plain,
( composition(join(one,join(complement(composition(top,top)),X_152)),top) != composition(join(X_152,one),top)
| composition(join(one,join(complement(composition(top,top)),X_152)),top) != composition(join(one,X_152),top)
| composition(join(one,X_152),top) = composition(join(X_152,one),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(complement(composition(top,top)),X_152)),top),composition(join(X_152,one),top)) ),[0],$fot(composition(join(one,X_152),top))]]) ).
cnf(refute_0_5836,plain,
( composition(join(one,join(complement(composition(top,top)),X_152)),top) != composition(join(X_152,one),top)
| composition(join(one,X_152),top) = composition(join(X_152,one),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(complement(composition(top,top)),X_152)),top),composition(join(one,X_152),top)) )],[refute_0_5834,refute_0_5835]) ).
cnf(refute_0_5837,plain,
composition(join(one,X_152),top) = composition(join(X_152,one),top),
inference(resolve,[$cnf( $equal(composition(join(one,join(complement(composition(top,top)),X_152)),top),composition(join(X_152,one),top)) )],[refute_0_5825,refute_0_5836]) ).
cnf(refute_0_5838,plain,
composition(join(top,B),top) = join(composition(top,top),composition(B,top)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(top)),bind(C,$fot(top))]]) ).
cnf(refute_0_5839,plain,
( composition(join(top,B),top) != join(composition(top,top),composition(B,top))
| composition(top,top) != top
| composition(join(top,B),top) = join(top,composition(B,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,B),top),join(composition(top,top),composition(B,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5840,plain,
( composition(join(top,B),top) != join(composition(top,top),composition(B,top))
| composition(join(top,B),top) = join(top,composition(B,top)) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_2892,refute_0_5839]) ).
cnf(refute_0_5841,plain,
composition(join(top,B),top) = join(top,composition(B,top)),
inference(resolve,[$cnf( $equal(composition(join(top,B),top),join(composition(top,top),composition(B,top))) )],[refute_0_5838,refute_0_5840]) ).
cnf(refute_0_5842,plain,
composition(join(top,B),top) = composition(join(top,B),top),
introduced(tautology,[refl,[$fot(composition(join(top,B),top))]]) ).
cnf(refute_0_5843,plain,
( composition(join(top,B),top) != composition(join(top,B),top)
| join(top,B) != top
| composition(join(top,B),top) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,B),top),composition(join(top,B),top)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5844,plain,
( join(top,B) != top
| composition(join(top,B),top) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(join(top,B),top),composition(join(top,B),top)) )],[refute_0_5842,refute_0_5843]) ).
cnf(refute_0_5845,plain,
composition(join(top,B),top) = composition(top,top),
inference(resolve,[$cnf( $equal(join(top,B),top) )],[refute_0_1171,refute_0_5844]) ).
cnf(refute_0_5846,plain,
( composition(join(top,B),top) != composition(top,top)
| composition(top,top) != top
| composition(join(top,B),top) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(top,B),top))),bind(Y,$fot(composition(top,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_5847,plain,
( composition(top,top) != top
| composition(join(top,B),top) = top ),
inference(resolve,[$cnf( $equal(composition(join(top,B),top),composition(top,top)) )],[refute_0_5845,refute_0_5846]) ).
cnf(refute_0_5848,plain,
composition(join(top,B),top) = top,
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_2892,refute_0_5847]) ).
cnf(refute_0_5849,plain,
( composition(join(top,B),top) != join(top,composition(B,top))
| composition(join(top,B),top) != top
| top = join(top,composition(B,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,B),top),join(top,composition(B,top))) ),[0],$fot(top)]]) ).
cnf(refute_0_5850,plain,
( composition(join(top,B),top) != join(top,composition(B,top))
| top = join(top,composition(B,top)) ),
inference(resolve,[$cnf( $equal(composition(join(top,B),top),top) )],[refute_0_5848,refute_0_5849]) ).
cnf(refute_0_5851,plain,
join(top,composition(B,top)) = composition(join(B,one),top),
inference(subst,[],[refute_0_73:[bind(X_147,$fot(B)),bind(X_149,$fot(top))]]) ).
cnf(refute_0_5852,plain,
( join(top,composition(B,top)) != composition(join(B,one),top)
| top != join(top,composition(B,top))
| top = composition(join(B,one),top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,composition(B,top))) ),[1],$fot(composition(join(B,one),top))]]) ).
cnf(refute_0_5853,plain,
( top != join(top,composition(B,top))
| top = composition(join(B,one),top) ),
inference(resolve,[$cnf( $equal(join(top,composition(B,top)),composition(join(B,one),top)) )],[refute_0_5851,refute_0_5852]) ).
cnf(refute_0_5854,plain,
( composition(join(top,B),top) != join(top,composition(B,top))
| top = composition(join(B,one),top) ),
inference(resolve,[$cnf( $equal(top,join(top,composition(B,top))) )],[refute_0_5850,refute_0_5853]) ).
cnf(refute_0_5855,plain,
top = composition(join(B,one),top),
inference(resolve,[$cnf( $equal(composition(join(top,B),top),join(top,composition(B,top))) )],[refute_0_5841,refute_0_5854]) ).
cnf(refute_0_5856,plain,
( top != composition(join(B,one),top)
| composition(join(B,one),top) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(composition(join(B,one),top)))]]) ).
cnf(refute_0_5857,plain,
composition(join(B,one),top) = top,
inference(resolve,[$cnf( $equal(top,composition(join(B,one),top)) )],[refute_0_5855,refute_0_5856]) ).
cnf(refute_0_5858,plain,
composition(join(X_152,one),top) = top,
inference(subst,[],[refute_0_5857:[bind(B,$fot(X_152))]]) ).
cnf(refute_0_5859,plain,
( composition(join(X_152,one),top) != top
| composition(join(one,X_152),top) != composition(join(X_152,one),top)
| composition(join(one,X_152),top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,X_152),top),composition(join(X_152,one),top)) ),[1],$fot(top)]]) ).
cnf(refute_0_5860,plain,
( composition(join(one,X_152),top) != composition(join(X_152,one),top)
| composition(join(one,X_152),top) = top ),
inference(resolve,[$cnf( $equal(composition(join(X_152,one),top),top) )],[refute_0_5858,refute_0_5859]) ).
cnf(refute_0_5861,plain,
composition(join(one,X_152),top) = top,
inference(resolve,[$cnf( $equal(composition(join(one,X_152),top),composition(join(X_152,one),top)) )],[refute_0_5837,refute_0_5860]) ).
cnf(refute_0_5862,plain,
( composition(join(one,X_152),top) != top
| join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,composition(join(one,X_152),top))))) != complement(top)
| join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,composition(join(one,X_152),top))))),complement(top)) ),[0,1,1,0,1],$fot(top)]]) ).
cnf(refute_0_5863,plain,
( join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,composition(join(one,X_152),top))))) != complement(top)
| join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(join(one,X_152),top),top) )],[refute_0_5861,refute_0_5862]) ).
cnf(refute_0_5864,plain,
join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,composition(join(one,X_152),top))))),complement(top)) )],[refute_0_5812,refute_0_5863]) ).
cnf(refute_0_5865,plain,
join(zero,composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) = composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))))]]) ).
cnf(refute_0_5866,plain,
join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) = join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))))]]) ).
cnf(refute_0_5867,plain,
( complement(top) != zero
| join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) != join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))))
| join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) = join(zero,composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))),join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5868,plain,
( complement(top) != zero
| join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) = join(zero,composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))),join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))))) )],[refute_0_5866,refute_0_5867]) ).
cnf(refute_0_5869,plain,
join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) = join(zero,composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_5868]) ).
cnf(refute_0_5870,plain,
( join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) != join(zero,composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))))
| join(zero,composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) != composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))
| join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) = composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))))),bind(Y,$fot(join(zero,composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))))),bind(Z,$fot(composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))))]]) ).
cnf(refute_0_5871,plain,
( join(zero,composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) != composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))
| join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) = composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))),join(zero,composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))))) )],[refute_0_5869,refute_0_5870]) ).
cnf(refute_0_5872,plain,
join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) = composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) )],[refute_0_5865,refute_0_5871]) ).
cnf(refute_0_5873,plain,
( join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) != complement(top)
| join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) != composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))
| composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))),complement(top)) ),[0],$fot(composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))))]]) ).
cnf(refute_0_5874,plain,
( join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) != complement(top)
| composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) )],[refute_0_5872,refute_0_5873]) ).
cnf(refute_0_5875,plain,
( complement(top) != zero
| composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))) != complement(top)
| composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_5876,plain,
( composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))) != complement(top)
| composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_5875]) ).
cnf(refute_0_5877,plain,
( join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))) != complement(top)
| composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))),complement(top)) )],[refute_0_5874,refute_0_5876]) ).
cnf(refute_0_5878,plain,
composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top)))),complement(top)) )],[refute_0_5864,refute_0_5877]) ).
cnf(refute_0_5879,plain,
( composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))) != zero
| join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))))))) != complement(complement(composition(X_429,top)))
| join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = complement(complement(composition(X_429,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))))))),complement(complement(composition(X_429,top)))) ),[0,1,1,1,0],$fot(zero)]]) ).
cnf(refute_0_5880,plain,
( join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))))))) != complement(complement(composition(X_429,top)))
| join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = complement(complement(composition(X_429,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))),zero) )],[refute_0_5878,refute_0_5879]) ).
cnf(refute_0_5881,plain,
join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = complement(complement(composition(X_429,top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(composition(converse(composition(X_429,join(one,X_152))),complement(composition(X_429,top))))))),complement(complement(composition(X_429,top)))) )],[refute_0_5811,refute_0_5880]) ).
cnf(refute_0_5882,plain,
join(B,join(B,C)) = join(join(B,B),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(B))]]) ).
cnf(refute_0_5883,plain,
join(B,B) = B,
inference(subst,[],[refute_0_1239:[bind(X_139,$fot(B))]]) ).
cnf(refute_0_5884,plain,
( join(B,B) != B
| join(B,join(B,C)) != join(join(B,B),C)
| join(B,join(B,C)) = join(B,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(B,join(B,C)),join(join(B,B),C)) ),[1,0],$fot(B)]]) ).
cnf(refute_0_5885,plain,
( join(B,join(B,C)) != join(join(B,B),C)
| join(B,join(B,C)) = join(B,C) ),
inference(resolve,[$cnf( $equal(join(B,B),B) )],[refute_0_5883,refute_0_5884]) ).
cnf(refute_0_5886,plain,
join(B,join(B,C)) = join(B,C),
inference(resolve,[$cnf( $equal(join(B,join(B,C)),join(join(B,B),C)) )],[refute_0_5882,refute_0_5885]) ).
cnf(refute_0_5887,plain,
join(one,join(one,composition(X_429,top))) = join(one,composition(X_429,top)),
inference(subst,[],[refute_0_5886:[bind(B,$fot(one)),bind(C,$fot(composition(X_429,top)))]]) ).
cnf(refute_0_5888,plain,
composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)) = composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)),
introduced(tautology,[refl,[$fot(composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)))]]) ).
cnf(refute_0_5889,plain,
( composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)) != composition(join(one,join(one,composition(X_429,top))),composition(X_429,top))
| join(one,join(one,composition(X_429,top))) != join(one,composition(X_429,top))
| composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)) = composition(join(one,composition(X_429,top)),composition(X_429,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)),composition(join(one,join(one,composition(X_429,top))),composition(X_429,top))) ),[1,0],$fot(join(one,composition(X_429,top)))]]) ).
cnf(refute_0_5890,plain,
( join(one,join(one,composition(X_429,top))) != join(one,composition(X_429,top))
| composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)) = composition(join(one,composition(X_429,top)),composition(X_429,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)),composition(join(one,join(one,composition(X_429,top))),composition(X_429,top))) )],[refute_0_5888,refute_0_5889]) ).
cnf(refute_0_5891,plain,
composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)) = composition(join(one,composition(X_429,top)),composition(X_429,top)),
inference(resolve,[$cnf( $equal(join(one,join(one,composition(X_429,top))),join(one,composition(X_429,top))) )],[refute_0_5887,refute_0_5890]) ).
cnf(refute_0_5892,plain,
composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149) = join(X_149,composition(join(X_972,complement(converse(composition(X_149,top)))),X_149)),
inference(subst,[],[refute_0_57:[bind(X_147,$fot(join(X_972,complement(converse(composition(X_149,top))))))]]) ).
cnf(refute_0_5893,plain,
composition(join(X_972,complement(converse(composition(X_149,top)))),X_149) = composition(X_972,X_149),
inference(subst,[],[refute_0_2577:[bind(X_147,$fot(X_972))]]) ).
cnf(refute_0_5894,plain,
( composition(join(X_972,complement(converse(composition(X_149,top)))),X_149) != composition(X_972,X_149)
| composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149) != join(X_149,composition(join(X_972,complement(converse(composition(X_149,top)))),X_149))
| composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149) = join(X_149,composition(X_972,X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149),join(X_149,composition(join(X_972,complement(converse(composition(X_149,top)))),X_149))) ),[1,1],$fot(composition(X_972,X_149))]]) ).
cnf(refute_0_5895,plain,
( composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149) != join(X_149,composition(join(X_972,complement(converse(composition(X_149,top)))),X_149))
| composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149) = join(X_149,composition(X_972,X_149)) ),
inference(resolve,[$cnf( $equal(composition(join(X_972,complement(converse(composition(X_149,top)))),X_149),composition(X_972,X_149)) )],[refute_0_5893,refute_0_5894]) ).
cnf(refute_0_5896,plain,
composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149) = join(X_149,composition(X_972,X_149)),
inference(resolve,[$cnf( $equal(composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149),join(X_149,composition(join(X_972,complement(converse(composition(X_149,top)))),X_149))) )],[refute_0_5892,refute_0_5895]) ).
cnf(refute_0_5897,plain,
composition(X_148,X_149) = meet(composition(X_148,X_149),join(composition(X_147,X_149),composition(X_148,X_149))),
inference(subst,[],[refute_0_1221:[bind(X_125,$fot(composition(X_147,X_149))),bind(X_126,$fot(composition(X_148,X_149)))]]) ).
cnf(refute_0_5898,plain,
( composition(X_148,X_149) != meet(composition(X_148,X_149),join(composition(X_147,X_149),composition(X_148,X_149)))
| join(composition(X_147,X_149),composition(X_148,X_149)) != composition(join(X_147,X_148),X_149)
| composition(X_148,X_149) = meet(composition(X_148,X_149),composition(join(X_147,X_148),X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_148,X_149),meet(composition(X_148,X_149),join(composition(X_147,X_149),composition(X_148,X_149)))) ),[1,1],$fot(composition(join(X_147,X_148),X_149))]]) ).
cnf(refute_0_5899,plain,
( composition(X_148,X_149) != meet(composition(X_148,X_149),join(composition(X_147,X_149),composition(X_148,X_149)))
| composition(X_148,X_149) = meet(composition(X_148,X_149),composition(join(X_147,X_148),X_149)) ),
inference(resolve,[$cnf( $equal(join(composition(X_147,X_149),composition(X_148,X_149)),composition(join(X_147,X_148),X_149)) )],[refute_0_4567,refute_0_5898]) ).
cnf(refute_0_5900,plain,
composition(X_148,X_149) = meet(composition(X_148,X_149),composition(join(X_147,X_148),X_149)),
inference(resolve,[$cnf( $equal(composition(X_148,X_149),meet(composition(X_148,X_149),join(composition(X_147,X_149),composition(X_148,X_149)))) )],[refute_0_5897,refute_0_5899]) ).
cnf(refute_0_5901,plain,
composition(join(X_568,X_567),X_149) = meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_568,X_567)),X_149)),
inference(subst,[],[refute_0_5900:[bind(X_147,$fot(converse(X_569))),bind(X_148,$fot(join(X_568,X_567)))]]) ).
cnf(refute_0_5902,plain,
join(converse(X_569),join(X_568,X_567)) = join(converse(X_569),join(X_567,X_568)),
inference(subst,[],[refute_0_1646:[bind(X_23,$fot(X_567)),bind(X_24,$fot(X_568)),bind(X_4,$fot(X_569))]]) ).
cnf(refute_0_5903,plain,
( composition(join(X_568,X_567),X_149) != meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_568,X_567)),X_149))
| join(converse(X_569),join(X_568,X_567)) != join(converse(X_569),join(X_567,X_568))
| composition(join(X_568,X_567),X_149) = meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_567,X_568)),X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_568,X_567),X_149),meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_568,X_567)),X_149))) ),[1,1,0],$fot(join(converse(X_569),join(X_567,X_568)))]]) ).
cnf(refute_0_5904,plain,
( composition(join(X_568,X_567),X_149) != meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_568,X_567)),X_149))
| composition(join(X_568,X_567),X_149) = meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_567,X_568)),X_149)) ),
inference(resolve,[$cnf( $equal(join(converse(X_569),join(X_568,X_567)),join(converse(X_569),join(X_567,X_568))) )],[refute_0_5902,refute_0_5903]) ).
cnf(refute_0_5905,plain,
composition(join(X_568,X_567),X_149) = meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_567,X_568)),X_149)),
inference(resolve,[$cnf( $equal(composition(join(X_568,X_567),X_149),meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_568,X_567)),X_149))) )],[refute_0_5901,refute_0_5904]) ).
cnf(refute_0_5906,plain,
composition(join(X_577,X_576),X_149) = meet(composition(join(X_577,X_576),X_149),composition(join(X_147,join(X_577,X_576)),X_149)),
inference(subst,[],[refute_0_5900:[bind(X_148,$fot(join(X_577,X_576)))]]) ).
cnf(refute_0_5907,plain,
composition(join(X_577,X_576),X_149) = composition(join(X_576,X_577),X_149),
inference(subst,[],[refute_0_4576:[bind(X_147,$fot(X_576)),bind(X_148,$fot(X_577))]]) ).
cnf(refute_0_5908,plain,
( composition(join(X_577,X_576),X_149) != composition(join(X_576,X_577),X_149)
| composition(join(X_577,X_576),X_149) != meet(composition(join(X_577,X_576),X_149),composition(join(X_147,join(X_577,X_576)),X_149))
| composition(join(X_577,X_576),X_149) = meet(composition(join(X_576,X_577),X_149),composition(join(X_147,join(X_577,X_576)),X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_577,X_576),X_149),meet(composition(join(X_577,X_576),X_149),composition(join(X_147,join(X_577,X_576)),X_149))) ),[1,0],$fot(composition(join(X_576,X_577),X_149))]]) ).
cnf(refute_0_5909,plain,
( composition(join(X_577,X_576),X_149) != meet(composition(join(X_577,X_576),X_149),composition(join(X_147,join(X_577,X_576)),X_149))
| composition(join(X_577,X_576),X_149) = meet(composition(join(X_576,X_577),X_149),composition(join(X_147,join(X_577,X_576)),X_149)) ),
inference(resolve,[$cnf( $equal(composition(join(X_577,X_576),X_149),composition(join(X_576,X_577),X_149)) )],[refute_0_5907,refute_0_5908]) ).
cnf(refute_0_5910,plain,
composition(join(X_577,X_576),X_149) = meet(composition(join(X_576,X_577),X_149),composition(join(X_147,join(X_577,X_576)),X_149)),
inference(resolve,[$cnf( $equal(composition(join(X_577,X_576),X_149),meet(composition(join(X_577,X_576),X_149),composition(join(X_147,join(X_577,X_576)),X_149))) )],[refute_0_5906,refute_0_5909]) ).
cnf(refute_0_5911,plain,
( composition(join(X_577,X_576),X_149) != meet(composition(join(X_576,X_577),X_149),composition(join(X_147,join(X_577,X_576)),X_149))
| meet(composition(join(X_576,X_577),X_149),composition(join(X_147,join(X_577,X_576)),X_149)) = composition(join(X_577,X_576),X_149) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_577,X_576),X_149))),bind(Y,$fot(meet(composition(join(X_576,X_577),X_149),composition(join(X_147,join(X_577,X_576)),X_149))))]]) ).
cnf(refute_0_5912,plain,
meet(composition(join(X_576,X_577),X_149),composition(join(X_147,join(X_577,X_576)),X_149)) = composition(join(X_577,X_576),X_149),
inference(resolve,[$cnf( $equal(composition(join(X_577,X_576),X_149),meet(composition(join(X_576,X_577),X_149),composition(join(X_147,join(X_577,X_576)),X_149))) )],[refute_0_5910,refute_0_5911]) ).
cnf(refute_0_5913,plain,
meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_567,X_568)),X_149)) = composition(join(X_567,X_568),X_149),
inference(subst,[],[refute_0_5912:[bind(X_147,$fot(converse(X_569))),bind(X_576,$fot(X_568)),bind(X_577,$fot(X_567))]]) ).
cnf(refute_0_5914,plain,
( composition(join(X_568,X_567),X_149) != meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_567,X_568)),X_149))
| meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_567,X_568)),X_149)) != composition(join(X_567,X_568),X_149)
| composition(join(X_568,X_567),X_149) = composition(join(X_567,X_568),X_149) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_568,X_567),X_149),composition(join(X_567,X_568),X_149)) ),[0],$fot(meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_567,X_568)),X_149)))]]) ).
cnf(refute_0_5915,plain,
( composition(join(X_568,X_567),X_149) != meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_567,X_568)),X_149))
| composition(join(X_568,X_567),X_149) = composition(join(X_567,X_568),X_149) ),
inference(resolve,[$cnf( $equal(meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_567,X_568)),X_149)),composition(join(X_567,X_568),X_149)) )],[refute_0_5913,refute_0_5914]) ).
cnf(refute_0_5916,plain,
composition(join(X_568,X_567),X_149) = composition(join(X_567,X_568),X_149),
inference(resolve,[$cnf( $equal(composition(join(X_568,X_567),X_149),meet(composition(join(X_568,X_567),X_149),composition(join(converse(X_569),join(X_567,X_568)),X_149))) )],[refute_0_5905,refute_0_5915]) ).
cnf(refute_0_5917,plain,
( composition(join(X_568,X_567),X_149) != composition(join(X_567,X_568),X_149)
| composition(join(X_567,X_568),X_149) = composition(join(X_568,X_567),X_149) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(X_568,X_567),X_149))),bind(Y,$fot(composition(join(X_567,X_568),X_149)))]]) ).
cnf(refute_0_5918,plain,
composition(join(X_567,X_568),X_149) = composition(join(X_568,X_567),X_149),
inference(resolve,[$cnf( $equal(composition(join(X_568,X_567),X_149),composition(join(X_567,X_568),X_149)) )],[refute_0_5916,refute_0_5917]) ).
cnf(refute_0_5919,plain,
composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149) = composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149),
inference(subst,[],[refute_0_5918:[bind(X_567,$fot(join(X_972,complement(converse(composition(X_149,top)))))),bind(X_568,$fot(one))]]) ).
cnf(refute_0_5920,plain,
( composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149) != composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149)
| composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149) != join(X_149,composition(X_972,X_149))
| composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149) = join(X_149,composition(X_972,X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149),join(X_149,composition(X_972,X_149))) ),[0],$fot(composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149))]]) ).
cnf(refute_0_5921,plain,
( composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149) != join(X_149,composition(X_972,X_149))
| composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149) = join(X_149,composition(X_972,X_149)) ),
inference(resolve,[$cnf( $equal(composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149),composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149)) )],[refute_0_5919,refute_0_5920]) ).
cnf(refute_0_5922,plain,
join(X_149,composition(X_972,X_149)) = composition(join(X_972,one),X_149),
inference(subst,[],[refute_0_73:[bind(X_147,$fot(X_972))]]) ).
cnf(refute_0_5923,plain,
( composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149) != join(X_149,composition(X_972,X_149))
| join(X_149,composition(X_972,X_149)) != composition(join(X_972,one),X_149)
| composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149) = composition(join(X_972,one),X_149) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149),composition(join(X_972,one),X_149)) ),[0],$fot(join(X_149,composition(X_972,X_149)))]]) ).
cnf(refute_0_5924,plain,
( composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149) != join(X_149,composition(X_972,X_149))
| composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149) = composition(join(X_972,one),X_149) ),
inference(resolve,[$cnf( $equal(join(X_149,composition(X_972,X_149)),composition(join(X_972,one),X_149)) )],[refute_0_5922,refute_0_5923]) ).
cnf(refute_0_5925,plain,
( composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149) != join(X_149,composition(X_972,X_149))
| composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149) = composition(join(X_972,one),X_149) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149),join(X_149,composition(X_972,X_149))) )],[refute_0_5921,refute_0_5924]) ).
cnf(refute_0_5926,plain,
composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149) = composition(join(X_972,one),X_149),
inference(resolve,[$cnf( $equal(composition(join(join(X_972,complement(converse(composition(X_149,top)))),one),X_149),join(X_149,composition(X_972,X_149))) )],[refute_0_5896,refute_0_5925]) ).
cnf(refute_0_5927,plain,
composition(join(A,join(X_972,complement(converse(composition(C,top))))),C) = join(composition(A,C),composition(join(X_972,complement(converse(composition(C,top)))),C)),
inference(subst,[],[composition_distributivity_7:[bind(B,$fot(join(X_972,complement(converse(composition(C,top))))))]]) ).
cnf(refute_0_5928,plain,
composition(join(X_972,complement(converse(composition(C,top)))),C) = composition(X_972,C),
inference(subst,[],[refute_0_2577:[bind(X_147,$fot(X_972)),bind(X_149,$fot(C))]]) ).
cnf(refute_0_5929,plain,
( composition(join(A,join(X_972,complement(converse(composition(C,top))))),C) != join(composition(A,C),composition(join(X_972,complement(converse(composition(C,top)))),C))
| composition(join(X_972,complement(converse(composition(C,top)))),C) != composition(X_972,C)
| composition(join(A,join(X_972,complement(converse(composition(C,top))))),C) = join(composition(A,C),composition(X_972,C)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(A,join(X_972,complement(converse(composition(C,top))))),C),join(composition(A,C),composition(join(X_972,complement(converse(composition(C,top)))),C))) ),[1,1],$fot(composition(X_972,C))]]) ).
cnf(refute_0_5930,plain,
( composition(join(A,join(X_972,complement(converse(composition(C,top))))),C) != join(composition(A,C),composition(join(X_972,complement(converse(composition(C,top)))),C))
| composition(join(A,join(X_972,complement(converse(composition(C,top))))),C) = join(composition(A,C),composition(X_972,C)) ),
inference(resolve,[$cnf( $equal(composition(join(X_972,complement(converse(composition(C,top)))),C),composition(X_972,C)) )],[refute_0_5928,refute_0_5929]) ).
cnf(refute_0_5931,plain,
composition(join(A,join(X_972,complement(converse(composition(C,top))))),C) = join(composition(A,C),composition(X_972,C)),
inference(resolve,[$cnf( $equal(composition(join(A,join(X_972,complement(converse(composition(C,top))))),C),join(composition(A,C),composition(join(X_972,complement(converse(composition(C,top)))),C))) )],[refute_0_5927,refute_0_5930]) ).
cnf(refute_0_5932,plain,
join(composition(A,C),composition(X_972,C)) = composition(join(A,X_972),C),
inference(subst,[],[refute_0_4572:[bind(B,$fot(X_972))]]) ).
cnf(refute_0_5933,plain,
( composition(join(A,join(X_972,complement(converse(composition(C,top))))),C) != join(composition(A,C),composition(X_972,C))
| join(composition(A,C),composition(X_972,C)) != composition(join(A,X_972),C)
| composition(join(A,join(X_972,complement(converse(composition(C,top))))),C) = composition(join(A,X_972),C) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(A,join(X_972,complement(converse(composition(C,top))))),C),composition(join(A,X_972),C)) ),[0],$fot(join(composition(A,C),composition(X_972,C)))]]) ).
cnf(refute_0_5934,plain,
( composition(join(A,join(X_972,complement(converse(composition(C,top))))),C) != join(composition(A,C),composition(X_972,C))
| composition(join(A,join(X_972,complement(converse(composition(C,top))))),C) = composition(join(A,X_972),C) ),
inference(resolve,[$cnf( $equal(join(composition(A,C),composition(X_972,C)),composition(join(A,X_972),C)) )],[refute_0_5932,refute_0_5933]) ).
cnf(refute_0_5935,plain,
composition(join(A,join(X_972,complement(converse(composition(C,top))))),C) = composition(join(A,X_972),C),
inference(resolve,[$cnf( $equal(composition(join(A,join(X_972,complement(converse(composition(C,top))))),C),join(composition(A,C),composition(X_972,C))) )],[refute_0_5931,refute_0_5934]) ).
cnf(refute_0_5936,plain,
composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149) = composition(join(one,X_972),X_149),
inference(subst,[],[refute_0_5935:[bind(A,$fot(one)),bind(C,$fot(X_149))]]) ).
cnf(refute_0_5937,plain,
( composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149) != composition(join(X_972,one),X_149)
| composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149) != composition(join(one,X_972),X_149)
| composition(join(one,X_972),X_149) = composition(join(X_972,one),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149),composition(join(X_972,one),X_149)) ),[0],$fot(composition(join(one,X_972),X_149))]]) ).
cnf(refute_0_5938,plain,
( composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149) != composition(join(X_972,one),X_149)
| composition(join(one,X_972),X_149) = composition(join(X_972,one),X_149) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149),composition(join(one,X_972),X_149)) )],[refute_0_5936,refute_0_5937]) ).
cnf(refute_0_5939,plain,
composition(join(one,X_972),X_149) = composition(join(X_972,one),X_149),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_972,complement(converse(composition(X_149,top))))),X_149),composition(join(X_972,one),X_149)) )],[refute_0_5926,refute_0_5938]) ).
cnf(refute_0_5940,plain,
( composition(join(one,X_972),X_149) != composition(join(X_972,one),X_149)
| composition(join(X_972,one),X_149) = composition(join(one,X_972),X_149) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(join(one,X_972),X_149))),bind(Y,$fot(composition(join(X_972,one),X_149)))]]) ).
cnf(refute_0_5941,plain,
composition(join(X_972,one),X_149) = composition(join(one,X_972),X_149),
inference(resolve,[$cnf( $equal(composition(join(one,X_972),X_149),composition(join(X_972,one),X_149)) )],[refute_0_5939,refute_0_5940]) ).
cnf(refute_0_5942,plain,
composition(join(join(one,composition(X_429,top)),one),composition(X_429,top)) = composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)),
inference(subst,[],[refute_0_5941:[bind(X_149,$fot(composition(X_429,top))),bind(X_972,$fot(join(one,composition(X_429,top))))]]) ).
cnf(refute_0_5943,plain,
( composition(join(join(one,composition(X_429,top)),one),composition(X_429,top)) != composition(join(one,join(one,composition(X_429,top))),composition(X_429,top))
| composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)) != composition(join(one,composition(X_429,top)),composition(X_429,top))
| composition(join(join(one,composition(X_429,top)),one),composition(X_429,top)) = composition(join(one,composition(X_429,top)),composition(X_429,top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(join(one,composition(X_429,top)),one),composition(X_429,top)))),bind(Y,$fot(composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)))),bind(Z,$fot(composition(join(one,composition(X_429,top)),composition(X_429,top))))]]) ).
cnf(refute_0_5944,plain,
( composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)) != composition(join(one,composition(X_429,top)),composition(X_429,top))
| composition(join(join(one,composition(X_429,top)),one),composition(X_429,top)) = composition(join(one,composition(X_429,top)),composition(X_429,top)) ),
inference(resolve,[$cnf( $equal(composition(join(join(one,composition(X_429,top)),one),composition(X_429,top)),composition(join(one,join(one,composition(X_429,top))),composition(X_429,top))) )],[refute_0_5942,refute_0_5943]) ).
cnf(refute_0_5945,plain,
composition(join(join(one,composition(X_429,top)),one),composition(X_429,top)) = composition(join(one,composition(X_429,top)),composition(X_429,top)),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,composition(X_429,top))),composition(X_429,top)),composition(join(one,composition(X_429,top)),composition(X_429,top))) )],[refute_0_5891,refute_0_5944]) ).
cnf(refute_0_5946,plain,
join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))) = composition(join(join(one,composition(X_429,top)),one),composition(X_429,top)),
inference(subst,[],[refute_0_73:[bind(X_147,$fot(join(one,composition(X_429,top)))),bind(X_149,$fot(composition(X_429,top)))]]) ).
cnf(refute_0_5947,plain,
( composition(join(join(one,composition(X_429,top)),one),composition(X_429,top)) != composition(join(one,composition(X_429,top)),composition(X_429,top))
| join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))) != composition(join(join(one,composition(X_429,top)),one),composition(X_429,top))
| join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))) = composition(join(one,composition(X_429,top)),composition(X_429,top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))))),bind(Y,$fot(composition(join(join(one,composition(X_429,top)),one),composition(X_429,top)))),bind(Z,$fot(composition(join(one,composition(X_429,top)),composition(X_429,top))))]]) ).
cnf(refute_0_5948,plain,
( composition(join(join(one,composition(X_429,top)),one),composition(X_429,top)) != composition(join(one,composition(X_429,top)),composition(X_429,top))
| join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))) = composition(join(one,composition(X_429,top)),composition(X_429,top)) ),
inference(resolve,[$cnf( $equal(join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))),composition(join(join(one,composition(X_429,top)),one),composition(X_429,top))) )],[refute_0_5946,refute_0_5947]) ).
cnf(refute_0_5949,plain,
join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))) = composition(join(one,composition(X_429,top)),composition(X_429,top)),
inference(resolve,[$cnf( $equal(composition(join(join(one,composition(X_429,top)),one),composition(X_429,top)),composition(join(one,composition(X_429,top)),composition(X_429,top))) )],[refute_0_5945,refute_0_5948]) ).
cnf(refute_0_5950,plain,
composition(X_429,composition(join(one,X_152),top)) = composition(X_429,composition(join(one,X_152),top)),
introduced(tautology,[refl,[$fot(composition(X_429,composition(join(one,X_152),top)))]]) ).
cnf(refute_0_5951,plain,
( composition(X_429,composition(join(one,X_152),top)) != composition(X_429,composition(join(one,X_152),top))
| composition(join(one,X_152),top) != top
| composition(X_429,composition(join(one,X_152),top)) = composition(X_429,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_429,composition(join(one,X_152),top)),composition(X_429,composition(join(one,X_152),top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5952,plain,
( composition(join(one,X_152),top) != top
| composition(X_429,composition(join(one,X_152),top)) = composition(X_429,top) ),
inference(resolve,[$cnf( $equal(composition(X_429,composition(join(one,X_152),top)),composition(X_429,composition(join(one,X_152),top))) )],[refute_0_5950,refute_0_5951]) ).
cnf(refute_0_5953,plain,
composition(X_429,composition(join(one,X_152),top)) = composition(X_429,top),
inference(resolve,[$cnf( $equal(composition(join(one,X_152),top),top) )],[refute_0_5861,refute_0_5952]) ).
cnf(refute_0_5954,plain,
composition(composition(X_429,join(one,X_152)),top) = composition(X_429,composition(join(one,X_152),top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_429)),bind(B,$fot(join(one,X_152))),bind(C,$fot(top))]]) ).
cnf(refute_0_5955,plain,
( composition(X_429,composition(join(one,X_152),top)) != composition(X_429,top)
| composition(composition(X_429,join(one,X_152)),top) != composition(X_429,composition(join(one,X_152),top))
| composition(composition(X_429,join(one,X_152)),top) = composition(X_429,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(composition(X_429,join(one,X_152)),top))),bind(Y,$fot(composition(X_429,composition(join(one,X_152),top)))),bind(Z,$fot(composition(X_429,top)))]]) ).
cnf(refute_0_5956,plain,
( composition(X_429,composition(join(one,X_152),top)) != composition(X_429,top)
| composition(composition(X_429,join(one,X_152)),top) = composition(X_429,top) ),
inference(resolve,[$cnf( $equal(composition(composition(X_429,join(one,X_152)),top),composition(X_429,composition(join(one,X_152),top))) )],[refute_0_5954,refute_0_5955]) ).
cnf(refute_0_5957,plain,
composition(composition(X_429,join(one,X_152)),top) = composition(X_429,top),
inference(resolve,[$cnf( $equal(composition(X_429,composition(join(one,X_152),top)),composition(X_429,top)) )],[refute_0_5953,refute_0_5956]) ).
cnf(refute_0_5958,plain,
composition(composition(X_429,join(one,X_152)),complement(zero)) = composition(composition(X_429,join(one,X_152)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(composition(X_429,join(one,X_152)),complement(zero)))]]) ).
cnf(refute_0_5959,plain,
( complement(zero) != top
| composition(composition(X_429,join(one,X_152)),complement(zero)) != composition(composition(X_429,join(one,X_152)),complement(zero))
| composition(composition(X_429,join(one,X_152)),complement(zero)) = composition(composition(X_429,join(one,X_152)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(X_429,join(one,X_152)),complement(zero)),composition(composition(X_429,join(one,X_152)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5960,plain,
( complement(zero) != top
| composition(composition(X_429,join(one,X_152)),complement(zero)) = composition(composition(X_429,join(one,X_152)),top) ),
inference(resolve,[$cnf( $equal(composition(composition(X_429,join(one,X_152)),complement(zero)),composition(composition(X_429,join(one,X_152)),complement(zero))) )],[refute_0_5958,refute_0_5959]) ).
cnf(refute_0_5961,plain,
composition(composition(X_429,join(one,X_152)),complement(zero)) = composition(composition(X_429,join(one,X_152)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1014,refute_0_5960]) ).
cnf(refute_0_5962,plain,
converse(converse(composition(X_429,join(one,X_152)))) = composition(X_429,join(one,X_152)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(X_429,join(one,X_152))))]]) ).
cnf(refute_0_5963,plain,
composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) = composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))]]) ).
cnf(refute_0_5964,plain,
( composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) != composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))
| converse(converse(composition(X_429,join(one,X_152)))) != composition(X_429,join(one,X_152))
| composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) = composition(composition(X_429,join(one,X_152)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) ),[1,0],$fot(composition(X_429,join(one,X_152)))]]) ).
cnf(refute_0_5965,plain,
( converse(converse(composition(X_429,join(one,X_152)))) != composition(X_429,join(one,X_152))
| composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) = composition(composition(X_429,join(one,X_152)),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) )],[refute_0_5963,refute_0_5964]) ).
cnf(refute_0_5966,plain,
composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) = composition(composition(X_429,join(one,X_152)),complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_429,join(one,X_152)))),composition(X_429,join(one,X_152))) )],[refute_0_5962,refute_0_5965]) ).
cnf(refute_0_5967,plain,
( composition(composition(X_429,join(one,X_152)),complement(zero)) != composition(composition(X_429,join(one,X_152)),top)
| composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) != composition(composition(X_429,join(one,X_152)),complement(zero))
| composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) = composition(composition(X_429,join(one,X_152)),top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),bind(Y,$fot(composition(composition(X_429,join(one,X_152)),complement(zero)))),bind(Z,$fot(composition(composition(X_429,join(one,X_152)),top)))]]) ).
cnf(refute_0_5968,plain,
( composition(composition(X_429,join(one,X_152)),complement(zero)) != composition(composition(X_429,join(one,X_152)),top)
| composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) = composition(composition(X_429,join(one,X_152)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)),composition(composition(X_429,join(one,X_152)),complement(zero))) )],[refute_0_5966,refute_0_5967]) ).
cnf(refute_0_5969,plain,
composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) = composition(composition(X_429,join(one,X_152)),top),
inference(resolve,[$cnf( $equal(composition(composition(X_429,join(one,X_152)),complement(zero)),composition(composition(X_429,join(one,X_152)),top)) )],[refute_0_5961,refute_0_5968]) ).
cnf(refute_0_5970,plain,
( composition(composition(X_429,join(one,X_152)),top) != composition(X_429,top)
| composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) != composition(composition(X_429,join(one,X_152)),top)
| composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) = composition(X_429,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),bind(Y,$fot(composition(composition(X_429,join(one,X_152)),top))),bind(Z,$fot(composition(X_429,top)))]]) ).
cnf(refute_0_5971,plain,
( composition(composition(X_429,join(one,X_152)),top) != composition(X_429,top)
| composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) = composition(X_429,top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)),composition(composition(X_429,join(one,X_152)),top)) )],[refute_0_5969,refute_0_5970]) ).
cnf(refute_0_5972,plain,
composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) = composition(X_429,top),
inference(resolve,[$cnf( $equal(composition(composition(X_429,join(one,X_152)),top),composition(X_429,top)) )],[refute_0_5957,refute_0_5971]) ).
cnf(refute_0_5973,plain,
composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) = composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))),
introduced(tautology,[refl,[$fot(composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))))]]) ).
cnf(refute_0_5974,plain,
( composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) != composition(X_429,top)
| composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) != composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))
| composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) = composition(join(one,composition(X_429,top)),composition(X_429,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))),composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) ),[1,1],$fot(composition(X_429,top))]]) ).
cnf(refute_0_5975,plain,
( composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)) != composition(X_429,top)
| composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) = composition(join(one,composition(X_429,top)),composition(X_429,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))),composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) )],[refute_0_5973,refute_0_5974]) ).
cnf(refute_0_5976,plain,
composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) = composition(join(one,composition(X_429,top)),composition(X_429,top)),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)),composition(X_429,top)) )],[refute_0_5972,refute_0_5975]) ).
cnf(refute_0_5977,plain,
complement(complement(composition(X_429,top))) = composition(X_429,top),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(composition(X_429,top)))]]) ).
cnf(refute_0_5978,plain,
composition(complement(composition(X_429,top)),top) = complement(composition(X_429,top)),
inference(subst,[],[refute_0_5794:[bind(X_949,$fot(X_429))]]) ).
cnf(refute_0_5979,plain,
complement(composition(complement(composition(X_429,top)),top)) = complement(composition(complement(composition(X_429,top)),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(composition(X_429,top)),top)))]]) ).
cnf(refute_0_5980,plain,
( complement(composition(complement(composition(X_429,top)),top)) != complement(composition(complement(composition(X_429,top)),top))
| composition(complement(composition(X_429,top)),top) != complement(composition(X_429,top))
| complement(composition(complement(composition(X_429,top)),top)) = complement(complement(composition(X_429,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(composition(X_429,top)),top)),complement(composition(complement(composition(X_429,top)),top))) ),[1,0],$fot(complement(composition(X_429,top)))]]) ).
cnf(refute_0_5981,plain,
( composition(complement(composition(X_429,top)),top) != complement(composition(X_429,top))
| complement(composition(complement(composition(X_429,top)),top)) = complement(complement(composition(X_429,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(X_429,top)),top)),complement(composition(complement(composition(X_429,top)),top))) )],[refute_0_5979,refute_0_5980]) ).
cnf(refute_0_5982,plain,
complement(composition(complement(composition(X_429,top)),top)) = complement(complement(composition(X_429,top))),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_429,top)),top),complement(composition(X_429,top))) )],[refute_0_5978,refute_0_5981]) ).
cnf(refute_0_5983,plain,
( complement(complement(composition(X_429,top))) != composition(X_429,top)
| complement(composition(complement(composition(X_429,top)),top)) != complement(complement(composition(X_429,top)))
| complement(composition(complement(composition(X_429,top)),top)) = composition(X_429,top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(composition(complement(composition(X_429,top)),top)))),bind(Y,$fot(complement(complement(composition(X_429,top))))),bind(Z,$fot(composition(X_429,top)))]]) ).
cnf(refute_0_5984,plain,
( complement(complement(composition(X_429,top))) != composition(X_429,top)
| complement(composition(complement(composition(X_429,top)),top)) = composition(X_429,top) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(X_429,top)),top)),complement(complement(composition(X_429,top)))) )],[refute_0_5982,refute_0_5983]) ).
cnf(refute_0_5985,plain,
complement(composition(complement(composition(X_429,top)),top)) = composition(X_429,top),
inference(resolve,[$cnf( $equal(complement(complement(composition(X_429,top))),composition(X_429,top)) )],[refute_0_5977,refute_0_5984]) ).
cnf(refute_0_5986,plain,
join(one,complement(composition(complement(composition(X_429,top)),top))) = join(one,complement(composition(complement(composition(X_429,top)),top))),
introduced(tautology,[refl,[$fot(join(one,complement(composition(complement(composition(X_429,top)),top))))]]) ).
cnf(refute_0_5987,plain,
( complement(composition(complement(composition(X_429,top)),top)) != composition(X_429,top)
| join(one,complement(composition(complement(composition(X_429,top)),top))) != join(one,complement(composition(complement(composition(X_429,top)),top)))
| join(one,complement(composition(complement(composition(X_429,top)),top))) = join(one,composition(X_429,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(complement(composition(X_429,top)),top))),join(one,complement(composition(complement(composition(X_429,top)),top)))) ),[1,1],$fot(composition(X_429,top))]]) ).
cnf(refute_0_5988,plain,
( complement(composition(complement(composition(X_429,top)),top)) != composition(X_429,top)
| join(one,complement(composition(complement(composition(X_429,top)),top))) = join(one,composition(X_429,top)) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(composition(X_429,top)),top))),join(one,complement(composition(complement(composition(X_429,top)),top)))) )],[refute_0_5986,refute_0_5987]) ).
cnf(refute_0_5989,plain,
join(one,complement(composition(complement(composition(X_429,top)),top))) = join(one,composition(X_429,top)),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(X_429,top)),top)),composition(X_429,top)) )],[refute_0_5985,refute_0_5988]) ).
cnf(refute_0_5990,plain,
composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) = composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))),
introduced(tautology,[refl,[$fot(composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))))]]) ).
cnf(refute_0_5991,plain,
( composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) != composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))
| join(one,complement(composition(complement(composition(X_429,top)),top))) != join(one,composition(X_429,top))
| composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) = composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) ),[1,0],$fot(join(one,composition(X_429,top)))]]) ).
cnf(refute_0_5992,plain,
( join(one,complement(composition(complement(composition(X_429,top)),top))) != join(one,composition(X_429,top))
| composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) = composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) )],[refute_0_5990,refute_0_5991]) ).
cnf(refute_0_5993,plain,
composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) = composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(composition(X_429,top)),top))),join(one,composition(X_429,top))) )],[refute_0_5989,refute_0_5992]) ).
cnf(refute_0_5994,plain,
( composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) != composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))
| composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) != composition(join(one,composition(X_429,top)),composition(X_429,top))
| composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) = composition(join(one,composition(X_429,top)),composition(X_429,top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))))),bind(Y,$fot(composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))))),bind(Z,$fot(composition(join(one,composition(X_429,top)),composition(X_429,top))))]]) ).
cnf(refute_0_5995,plain,
( composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) != composition(join(one,composition(X_429,top)),composition(X_429,top))
| composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) = composition(join(one,composition(X_429,top)),composition(X_429,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))),composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) )],[refute_0_5993,refute_0_5994]) ).
cnf(refute_0_5996,plain,
composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) = composition(join(one,composition(X_429,top)),composition(X_429,top)),
inference(resolve,[$cnf( $equal(composition(join(one,composition(X_429,top)),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))),composition(join(one,composition(X_429,top)),composition(X_429,top))) )],[refute_0_5976,refute_0_5995]) ).
cnf(refute_0_5997,plain,
join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),
introduced(tautology,[refl,[$fot(join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))))]]) ).
cnf(refute_0_5998,plain,
( composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) != composition(join(one,composition(X_429,top)),composition(X_429,top))
| join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) != join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))))
| join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))))) ),[1,1],$fot(composition(join(one,composition(X_429,top)),composition(X_429,top)))]]) ).
cnf(refute_0_5999,plain,
( composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))) != composition(join(one,composition(X_429,top)),composition(X_429,top))
| join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))))) )],[refute_0_5997,refute_0_5998]) ).
cnf(refute_0_6000,plain,
join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))),composition(join(one,composition(X_429,top)),composition(X_429,top))) )],[refute_0_5996,refute_0_5999]) ).
cnf(refute_0_6001,plain,
join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),
introduced(tautology,[refl,[$fot(join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))))]]) ).
cnf(refute_0_6002,plain,
( complement(complement(composition(X_429,top))) != composition(X_429,top)
| join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) != join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))))
| join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))))) ),[1,0],$fot(composition(X_429,top))]]) ).
cnf(refute_0_6003,plain,
( complement(complement(composition(X_429,top))) != composition(X_429,top)
| join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))))) )],[refute_0_6001,refute_0_6002]) ).
cnf(refute_0_6004,plain,
join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),
inference(resolve,[$cnf( $equal(complement(complement(composition(X_429,top))),composition(X_429,top)) )],[refute_0_5977,refute_0_6003]) ).
cnf(refute_0_6005,plain,
( join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) != join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))))
| join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) != join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top)))
| join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))))),bind(Y,$fot(join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))))),bind(Z,$fot(join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top)))))]]) ).
cnf(refute_0_6006,plain,
( join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) != join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top)))
| join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero))))) )],[refute_0_6004,refute_0_6005]) ).
cnf(refute_0_6007,plain,
join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))),
inference(resolve,[$cnf( $equal(join(composition(X_429,top),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top)))) )],[refute_0_6000,refute_0_6006]) ).
cnf(refute_0_6008,plain,
( join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) != join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top)))
| join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))) != composition(join(one,composition(X_429,top)),composition(X_429,top))
| join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = composition(join(one,composition(X_429,top)),composition(X_429,top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))))),bind(Y,$fot(join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))))),bind(Z,$fot(composition(join(one,composition(X_429,top)),composition(X_429,top))))]]) ).
cnf(refute_0_6009,plain,
( join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))) != composition(join(one,composition(X_429,top)),composition(X_429,top))
| join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = composition(join(one,composition(X_429,top)),composition(X_429,top)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top)))) )],[refute_0_6007,refute_0_6008]) ).
cnf(refute_0_6010,plain,
join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) = composition(join(one,composition(X_429,top)),composition(X_429,top)),
inference(resolve,[$cnf( $equal(join(composition(X_429,top),composition(join(one,composition(X_429,top)),composition(X_429,top))),composition(join(one,composition(X_429,top)),composition(X_429,top))) )],[refute_0_5949,refute_0_6009]) ).
cnf(refute_0_6011,plain,
( join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) != complement(complement(composition(X_429,top)))
| join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) != composition(join(one,composition(X_429,top)),composition(X_429,top))
| composition(join(one,composition(X_429,top)),composition(X_429,top)) = complement(complement(composition(X_429,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),complement(complement(composition(X_429,top)))) ),[0],$fot(composition(join(one,composition(X_429,top)),composition(X_429,top)))]]) ).
cnf(refute_0_6012,plain,
( join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) != complement(complement(composition(X_429,top)))
| composition(join(one,composition(X_429,top)),composition(X_429,top)) = complement(complement(composition(X_429,top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),composition(join(one,composition(X_429,top)),composition(X_429,top))) )],[refute_0_6010,refute_0_6011]) ).
cnf(refute_0_6013,plain,
( complement(complement(composition(X_429,top))) != composition(X_429,top)
| composition(join(one,composition(X_429,top)),composition(X_429,top)) != complement(complement(composition(X_429,top)))
| composition(join(one,composition(X_429,top)),composition(X_429,top)) = composition(X_429,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,composition(X_429,top)),composition(X_429,top)),complement(complement(composition(X_429,top)))) ),[1],$fot(composition(X_429,top))]]) ).
cnf(refute_0_6014,plain,
( composition(join(one,composition(X_429,top)),composition(X_429,top)) != complement(complement(composition(X_429,top)))
| composition(join(one,composition(X_429,top)),composition(X_429,top)) = composition(X_429,top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(X_429,top))),composition(X_429,top)) )],[refute_0_5977,refute_0_6013]) ).
cnf(refute_0_6015,plain,
( join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))) != complement(complement(composition(X_429,top)))
| composition(join(one,composition(X_429,top)),composition(X_429,top)) = composition(X_429,top) ),
inference(resolve,[$cnf( $equal(composition(join(one,composition(X_429,top)),composition(X_429,top)),complement(complement(composition(X_429,top)))) )],[refute_0_6012,refute_0_6014]) ).
cnf(refute_0_6016,plain,
composition(join(one,composition(X_429,top)),composition(X_429,top)) = composition(X_429,top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X_429,top))),composition(join(one,complement(composition(complement(composition(X_429,top)),top))),composition(converse(converse(composition(X_429,join(one,X_152)))),complement(zero)))),complement(complement(composition(X_429,top)))) )],[refute_0_5881,refute_0_6015]) ).
cnf(refute_0_6017,plain,
composition(join(one,composition(complement(meet(one,X_857)),top)),composition(complement(meet(one,X_857)),top)) = composition(complement(meet(one,X_857)),top),
inference(subst,[],[refute_0_6016:[bind(X_429,$fot(complement(meet(one,X_857))))]]) ).
cnf(refute_0_6018,plain,
( top != join(one,composition(complement(meet(one,X_857)),top))
| join(one,composition(complement(meet(one,X_857)),top)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(one,composition(complement(meet(one,X_857)),top))))]]) ).
cnf(refute_0_6019,plain,
join(one,composition(complement(meet(one,X_857)),top)) = top,
inference(resolve,[$cnf( $equal(top,join(one,composition(complement(meet(one,X_857)),top))) )],[refute_0_4599,refute_0_6018]) ).
cnf(refute_0_6020,plain,
( composition(join(one,composition(complement(meet(one,X_857)),top)),composition(complement(meet(one,X_857)),top)) != composition(complement(meet(one,X_857)),top)
| join(one,composition(complement(meet(one,X_857)),top)) != top
| composition(top,composition(complement(meet(one,X_857)),top)) = composition(complement(meet(one,X_857)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,composition(complement(meet(one,X_857)),top)),composition(complement(meet(one,X_857)),top)),composition(complement(meet(one,X_857)),top)) ),[0,0],$fot(top)]]) ).
cnf(refute_0_6021,plain,
( composition(join(one,composition(complement(meet(one,X_857)),top)),composition(complement(meet(one,X_857)),top)) != composition(complement(meet(one,X_857)),top)
| composition(top,composition(complement(meet(one,X_857)),top)) = composition(complement(meet(one,X_857)),top) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(meet(one,X_857)),top)),top) )],[refute_0_6019,refute_0_6020]) ).
cnf(refute_0_6022,plain,
composition(top,composition(complement(meet(one,X_857)),top)) = composition(complement(meet(one,X_857)),top),
inference(resolve,[$cnf( $equal(composition(join(one,composition(complement(meet(one,X_857)),top)),composition(complement(meet(one,X_857)),top)),composition(complement(meet(one,X_857)),top)) )],[refute_0_6017,refute_0_6021]) ).
cnf(refute_0_6023,plain,
composition(top,composition(complement(meet(one,X_1270)),top)) = composition(complement(meet(one,X_1270)),top),
inference(subst,[],[refute_0_6022:[bind(X_857,$fot(X_1270))]]) ).
cnf(refute_0_6024,plain,
composition(composition(top,complement(meet(one,X_1270))),top) = composition(top,composition(complement(meet(one,X_1270)),top)),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(complement(meet(one,X_1270)))),bind(C,$fot(top))]]) ).
cnf(refute_0_6025,plain,
( composition(composition(top,complement(meet(one,X_1270))),top) != composition(top,composition(complement(meet(one,X_1270)),top))
| composition(top,composition(complement(meet(one,X_1270)),top)) != composition(complement(meet(one,X_1270)),top)
| composition(composition(top,complement(meet(one,X_1270))),top) = composition(complement(meet(one,X_1270)),top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(composition(top,complement(meet(one,X_1270))),top))),bind(Y,$fot(composition(top,composition(complement(meet(one,X_1270)),top)))),bind(Z,$fot(composition(complement(meet(one,X_1270)),top)))]]) ).
cnf(refute_0_6026,plain,
( composition(top,composition(complement(meet(one,X_1270)),top)) != composition(complement(meet(one,X_1270)),top)
| composition(composition(top,complement(meet(one,X_1270))),top) = composition(complement(meet(one,X_1270)),top) ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(meet(one,X_1270))),top),composition(top,composition(complement(meet(one,X_1270)),top))) )],[refute_0_6024,refute_0_6025]) ).
cnf(refute_0_6027,plain,
composition(composition(top,complement(meet(one,X_1270))),top) = composition(complement(meet(one,X_1270)),top),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(meet(one,X_1270)),top)),composition(complement(meet(one,X_1270)),top)) )],[refute_0_6023,refute_0_6026]) ).
cnf(refute_0_6028,plain,
composition(top,composition(composition(top,complement(meet(one,X_1270))),top)) = composition(top,composition(composition(top,complement(meet(one,X_1270))),top)),
introduced(tautology,[refl,[$fot(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))]]) ).
cnf(refute_0_6029,plain,
( composition(composition(top,complement(meet(one,X_1270))),top) != composition(complement(meet(one,X_1270)),top)
| composition(top,composition(composition(top,complement(meet(one,X_1270))),top)) != composition(top,composition(composition(top,complement(meet(one,X_1270))),top))
| composition(top,composition(composition(top,complement(meet(one,X_1270))),top)) = composition(top,composition(complement(meet(one,X_1270)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)),composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) ),[1,1],$fot(composition(complement(meet(one,X_1270)),top))]]) ).
cnf(refute_0_6030,plain,
( composition(composition(top,complement(meet(one,X_1270))),top) != composition(complement(meet(one,X_1270)),top)
| composition(top,composition(composition(top,complement(meet(one,X_1270))),top)) = composition(top,composition(complement(meet(one,X_1270)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)),composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) )],[refute_0_6028,refute_0_6029]) ).
cnf(refute_0_6031,plain,
composition(top,composition(composition(top,complement(meet(one,X_1270))),top)) = composition(top,composition(complement(meet(one,X_1270)),top)),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(meet(one,X_1270))),top),composition(complement(meet(one,X_1270)),top)) )],[refute_0_6027,refute_0_6030]) ).
cnf(refute_0_6032,plain,
( composition(top,composition(complement(meet(one,X_1270)),top)) != composition(complement(meet(one,X_1270)),top)
| composition(top,composition(composition(top,complement(meet(one,X_1270))),top)) != composition(top,composition(complement(meet(one,X_1270)),top))
| composition(top,composition(composition(top,complement(meet(one,X_1270))),top)) = composition(complement(meet(one,X_1270)),top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),bind(Y,$fot(composition(top,composition(complement(meet(one,X_1270)),top)))),bind(Z,$fot(composition(complement(meet(one,X_1270)),top)))]]) ).
cnf(refute_0_6033,plain,
( composition(top,composition(complement(meet(one,X_1270)),top)) != composition(complement(meet(one,X_1270)),top)
| composition(top,composition(composition(top,complement(meet(one,X_1270))),top)) = composition(complement(meet(one,X_1270)),top) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)),composition(top,composition(complement(meet(one,X_1270)),top))) )],[refute_0_6031,refute_0_6032]) ).
cnf(refute_0_6034,plain,
composition(top,composition(composition(top,complement(meet(one,X_1270))),top)) = composition(complement(meet(one,X_1270)),top),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(meet(one,X_1270)),top)),composition(complement(meet(one,X_1270)),top)) )],[refute_0_6023,refute_0_6033]) ).
cnf(refute_0_6035,plain,
complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) = complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))))]]) ).
cnf(refute_0_6036,plain,
( complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) != complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))
| composition(top,composition(composition(top,complement(meet(one,X_1270))),top)) != composition(complement(meet(one,X_1270)),top)
| complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) = complement(composition(complement(meet(one,X_1270)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) ),[1,0],$fot(composition(complement(meet(one,X_1270)),top))]]) ).
cnf(refute_0_6037,plain,
( composition(top,composition(composition(top,complement(meet(one,X_1270))),top)) != composition(complement(meet(one,X_1270)),top)
| complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) = complement(composition(complement(meet(one,X_1270)),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) )],[refute_0_6035,refute_0_6036]) ).
cnf(refute_0_6038,plain,
complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) = complement(composition(complement(meet(one,X_1270)),top)),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)),composition(complement(meet(one,X_1270)),top)) )],[refute_0_6034,refute_0_6037]) ).
cnf(refute_0_6039,plain,
composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),
introduced(tautology,[refl,[$fot(composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))))]]) ).
cnf(refute_0_6040,plain,
( complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) != complement(composition(complement(meet(one,X_1270)),top))
| composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) != composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))))
| composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = composition(top,complement(composition(complement(meet(one,X_1270)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))))) ),[1,1],$fot(complement(composition(complement(meet(one,X_1270)),top)))]]) ).
cnf(refute_0_6041,plain,
( complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) != complement(composition(complement(meet(one,X_1270)),top))
| composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = composition(top,complement(composition(complement(meet(one,X_1270)),top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))))) )],[refute_0_6039,refute_0_6040]) ).
cnf(refute_0_6042,plain,
composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = composition(top,complement(composition(complement(meet(one,X_1270)),top))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))),complement(composition(complement(meet(one,X_1270)),top))) )],[refute_0_6038,refute_0_6041]) ).
cnf(refute_0_6043,plain,
composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),
introduced(tautology,[refl,[$fot(composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))))]]) ).
cnf(refute_0_6044,plain,
( composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) != composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))))
| converse(top) != top
| composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6045,plain,
( converse(top) != top
| composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))))) )],[refute_0_6043,refute_0_6044]) ).
cnf(refute_0_6046,plain,
composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_6045]) ).
cnf(refute_0_6047,plain,
( composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) != composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))))
| composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) != composition(top,complement(composition(complement(meet(one,X_1270)),top)))
| composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = composition(top,complement(composition(complement(meet(one,X_1270)),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))))),bind(Y,$fot(composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))))),bind(Z,$fot(composition(top,complement(composition(complement(meet(one,X_1270)),top)))))]]) ).
cnf(refute_0_6048,plain,
( composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) != composition(top,complement(composition(complement(meet(one,X_1270)),top)))
| composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = composition(top,complement(composition(complement(meet(one,X_1270)),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))))) )],[refute_0_6046,refute_0_6047]) ).
cnf(refute_0_6049,plain,
composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) = composition(top,complement(composition(complement(meet(one,X_1270)),top))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),composition(top,complement(composition(complement(meet(one,X_1270)),top)))) )],[refute_0_6042,refute_0_6048]) ).
cnf(refute_0_6050,plain,
( composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) != complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))
| composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) != composition(top,complement(composition(complement(meet(one,X_1270)),top)))
| composition(top,complement(composition(complement(meet(one,X_1270)),top))) = complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) ),[0],$fot(composition(top,complement(composition(complement(meet(one,X_1270)),top))))]]) ).
cnf(refute_0_6051,plain,
( composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) != complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))
| composition(top,complement(composition(complement(meet(one,X_1270)),top))) = complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),composition(top,complement(composition(complement(meet(one,X_1270)),top)))) )],[refute_0_6049,refute_0_6050]) ).
cnf(refute_0_6052,plain,
( complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))) != complement(composition(complement(meet(one,X_1270)),top))
| composition(top,complement(composition(complement(meet(one,X_1270)),top))) != complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))
| composition(top,complement(composition(complement(meet(one,X_1270)),top))) = complement(composition(complement(meet(one,X_1270)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(meet(one,X_1270)),top))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) ),[1],$fot(complement(composition(complement(meet(one,X_1270)),top)))]]) ).
cnf(refute_0_6053,plain,
( composition(top,complement(composition(complement(meet(one,X_1270)),top))) != complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))
| composition(top,complement(composition(complement(meet(one,X_1270)),top))) = complement(composition(complement(meet(one,X_1270)),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top))),complement(composition(complement(meet(one,X_1270)),top))) )],[refute_0_6038,refute_0_6052]) ).
cnf(refute_0_6054,plain,
( composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) != complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))
| composition(top,complement(composition(complement(meet(one,X_1270)),top))) = complement(composition(complement(meet(one,X_1270)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(meet(one,X_1270)),top))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) )],[refute_0_6051,refute_0_6053]) ).
cnf(refute_0_6055,plain,
composition(top,complement(composition(complement(meet(one,X_1270)),top))) = complement(composition(complement(meet(one,X_1270)),top)),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))),complement(composition(top,composition(composition(top,complement(meet(one,X_1270))),top)))) )],[refute_0_5103,refute_0_6054]) ).
cnf(refute_0_6056,plain,
composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) = complement(composition(complement(meet(one,converse(X_1418))),top)),
inference(subst,[],[refute_0_6055:[bind(X_1270,$fot(converse(X_1418)))]]) ).
cnf(refute_0_6057,plain,
( complement(composition(complement(meet(one,converse(X_1418))),top)) != complement(converse(composition(top,complement(meet(one,X_1418)))))
| composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) != complement(composition(complement(meet(one,converse(X_1418))),top))
| composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) = complement(converse(composition(top,complement(meet(one,X_1418))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))))),bind(Y,$fot(complement(composition(complement(meet(one,converse(X_1418))),top)))),bind(Z,$fot(complement(converse(composition(top,complement(meet(one,X_1418)))))))]]) ).
cnf(refute_0_6058,plain,
( complement(composition(complement(meet(one,converse(X_1418))),top)) != complement(converse(composition(top,complement(meet(one,X_1418)))))
| composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) = complement(converse(composition(top,complement(meet(one,X_1418))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))),complement(composition(complement(meet(one,converse(X_1418))),top))) )],[refute_0_6056,refute_0_6057]) ).
cnf(refute_0_6059,plain,
composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) = complement(converse(composition(top,complement(meet(one,X_1418))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(meet(one,converse(X_1418))),top)),complement(converse(composition(top,complement(meet(one,X_1418)))))) )],[refute_0_3803,refute_0_6058]) ).
cnf(refute_0_6060,plain,
( composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) != complement(converse(composition(top,complement(meet(one,X_1418)))))
| composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) != composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top)))
| complement(converse(composition(top,complement(meet(one,X_1418))))) = composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))),composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top)))) ),[0],$fot(complement(converse(composition(top,complement(meet(one,X_1418))))))]]) ).
cnf(refute_0_6061,plain,
( composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) != composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top)))
| complement(converse(composition(top,complement(meet(one,X_1418))))) = composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))),complement(converse(composition(top,complement(meet(one,X_1418)))))) )],[refute_0_6059,refute_0_6060]) ).
cnf(refute_0_6062,plain,
converse(composition(complement(X_324),B)) = composition(converse(B),converse(complement(X_324))),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(complement(X_324)))]]) ).
cnf(refute_0_6063,plain,
( converse(complement(X_324)) != complement(converse(X_324))
| converse(composition(complement(X_324),B)) != composition(converse(B),converse(complement(X_324)))
| converse(composition(complement(X_324),B)) = composition(converse(B),complement(converse(X_324))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(X_324),B)),composition(converse(B),converse(complement(X_324)))) ),[1,1],$fot(complement(converse(X_324)))]]) ).
cnf(refute_0_6064,plain,
( converse(composition(complement(X_324),B)) != composition(converse(B),converse(complement(X_324)))
| converse(composition(complement(X_324),B)) = composition(converse(B),complement(converse(X_324))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_324)),complement(converse(X_324))) )],[refute_0_3182,refute_0_6063]) ).
cnf(refute_0_6065,plain,
converse(composition(complement(X_324),B)) = composition(converse(B),complement(converse(X_324))),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_324),B)),composition(converse(B),converse(complement(X_324)))) )],[refute_0_6062,refute_0_6064]) ).
cnf(refute_0_6066,plain,
( converse(composition(complement(X_324),B)) != composition(converse(B),complement(converse(X_324)))
| composition(converse(B),complement(converse(X_324))) = converse(composition(complement(X_324),B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(complement(X_324),B)))),bind(Y,$fot(composition(converse(B),complement(converse(X_324)))))]]) ).
cnf(refute_0_6067,plain,
composition(converse(B),complement(converse(X_324))) = converse(composition(complement(X_324),B)),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_324),B)),composition(converse(B),complement(converse(X_324)))) )],[refute_0_6065,refute_0_6066]) ).
cnf(refute_0_6068,plain,
composition(converse(meet(one,converse(X_1418))),complement(converse(composition(top,complement(meet(one,X_1418)))))) = converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))),
inference(subst,[],[refute_0_6067:[bind(B,$fot(meet(one,converse(X_1418)))),bind(X_324,$fot(composition(top,complement(meet(one,X_1418)))))]]) ).
cnf(refute_0_6069,plain,
complement(composition(complement(converse(meet(one,X_1418))),top)) = complement(composition(complement(converse(meet(one,X_1418))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(converse(meet(one,X_1418))),top)))]]) ).
cnf(refute_0_6070,plain,
( complement(composition(complement(converse(meet(one,X_1418))),top)) != complement(composition(complement(converse(meet(one,X_1418))),top))
| composition(complement(converse(meet(one,X_1418))),top) != converse(composition(top,complement(meet(one,X_1418))))
| complement(composition(complement(converse(meet(one,X_1418))),top)) = complement(converse(composition(top,complement(meet(one,X_1418))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(meet(one,X_1418))),top)),complement(composition(complement(converse(meet(one,X_1418))),top))) ),[1,0],$fot(converse(composition(top,complement(meet(one,X_1418)))))]]) ).
cnf(refute_0_6071,plain,
( composition(complement(converse(meet(one,X_1418))),top) != converse(composition(top,complement(meet(one,X_1418))))
| complement(composition(complement(converse(meet(one,X_1418))),top)) = complement(converse(composition(top,complement(meet(one,X_1418))))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(meet(one,X_1418))),top)),complement(composition(complement(converse(meet(one,X_1418))),top))) )],[refute_0_6069,refute_0_6070]) ).
cnf(refute_0_6072,plain,
complement(composition(complement(converse(meet(one,X_1418))),top)) = complement(converse(composition(top,complement(meet(one,X_1418))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(meet(one,X_1418))),top),converse(composition(top,complement(meet(one,X_1418))))) )],[refute_0_3792,refute_0_6071]) ).
cnf(refute_0_6073,plain,
composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) = composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))),
introduced(tautology,[refl,[$fot(composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))))]]) ).
cnf(refute_0_6074,plain,
( complement(composition(complement(converse(meet(one,X_1418))),top)) != complement(converse(composition(top,complement(meet(one,X_1418)))))
| composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) != composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top)))
| composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) = composition(converse(meet(one,converse(X_1418))),complement(converse(composition(top,complement(meet(one,X_1418)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))),composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top)))) ),[1,1],$fot(complement(converse(composition(top,complement(meet(one,X_1418))))))]]) ).
cnf(refute_0_6075,plain,
( complement(composition(complement(converse(meet(one,X_1418))),top)) != complement(converse(composition(top,complement(meet(one,X_1418)))))
| composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) = composition(converse(meet(one,converse(X_1418))),complement(converse(composition(top,complement(meet(one,X_1418)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))),composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top)))) )],[refute_0_6073,refute_0_6074]) ).
cnf(refute_0_6076,plain,
composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) = composition(converse(meet(one,converse(X_1418))),complement(converse(composition(top,complement(meet(one,X_1418)))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(meet(one,X_1418))),top)),complement(converse(composition(top,complement(meet(one,X_1418)))))) )],[refute_0_6072,refute_0_6075]) ).
cnf(refute_0_6077,plain,
( composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) != composition(converse(meet(one,converse(X_1418))),complement(converse(composition(top,complement(meet(one,X_1418))))))
| composition(converse(meet(one,converse(X_1418))),complement(converse(composition(top,complement(meet(one,X_1418)))))) != converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))
| composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) = converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))))),bind(Y,$fot(composition(converse(meet(one,converse(X_1418))),complement(converse(composition(top,complement(meet(one,X_1418)))))))),bind(Z,$fot(converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))))]]) ).
cnf(refute_0_6078,plain,
( composition(converse(meet(one,converse(X_1418))),complement(converse(composition(top,complement(meet(one,X_1418)))))) != converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))
| composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) = converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))),composition(converse(meet(one,converse(X_1418))),complement(converse(composition(top,complement(meet(one,X_1418))))))) )],[refute_0_6076,refute_0_6077]) ).
cnf(refute_0_6079,plain,
composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) = converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,converse(X_1418))),complement(converse(composition(top,complement(meet(one,X_1418)))))),converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))) )],[refute_0_6068,refute_0_6078]) ).
cnf(refute_0_6080,plain,
( complement(converse(composition(top,complement(meet(one,X_1418))))) != composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top)))
| composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))) != converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))
| complement(converse(composition(top,complement(meet(one,X_1418))))) = converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(composition(top,complement(meet(one,X_1418))))),converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))) ),[0],$fot(composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))))]]) ).
cnf(refute_0_6081,plain,
( complement(converse(composition(top,complement(meet(one,X_1418))))) != composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top)))
| complement(converse(composition(top,complement(meet(one,X_1418))))) = converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top))),converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))) )],[refute_0_6079,refute_0_6080]) ).
cnf(refute_0_6082,plain,
( composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))) != composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top)))
| complement(converse(composition(top,complement(meet(one,X_1418))))) = converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(meet(one,X_1418))))),composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top)))) )],[refute_0_6061,refute_0_6081]) ).
cnf(refute_0_6083,plain,
complement(converse(composition(top,complement(meet(one,X_1418))))) = converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(meet(one,converse(X_1418))),top))),composition(converse(meet(one,converse(X_1418))),complement(composition(complement(converse(meet(one,X_1418))),top)))) )],[refute_0_3791,refute_0_6082]) ).
cnf(refute_0_6084,plain,
converse(converse(composition(top,complement(meet(one,X_1418))))) = composition(top,complement(meet(one,X_1418))),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(top,complement(meet(one,X_1418)))))]]) ).
cnf(refute_0_6085,plain,
complement(converse(converse(composition(top,complement(meet(one,X_1418)))))) = complement(converse(converse(composition(top,complement(meet(one,X_1418)))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(top,complement(meet(one,X_1418)))))))]]) ).
cnf(refute_0_6086,plain,
( complement(converse(converse(composition(top,complement(meet(one,X_1418)))))) != complement(converse(converse(composition(top,complement(meet(one,X_1418))))))
| converse(converse(composition(top,complement(meet(one,X_1418))))) != composition(top,complement(meet(one,X_1418)))
| complement(converse(converse(composition(top,complement(meet(one,X_1418)))))) = complement(composition(top,complement(meet(one,X_1418)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(top,complement(meet(one,X_1418)))))),complement(converse(converse(composition(top,complement(meet(one,X_1418))))))) ),[1,0],$fot(composition(top,complement(meet(one,X_1418))))]]) ).
cnf(refute_0_6087,plain,
( converse(converse(composition(top,complement(meet(one,X_1418))))) != composition(top,complement(meet(one,X_1418)))
| complement(converse(converse(composition(top,complement(meet(one,X_1418)))))) = complement(composition(top,complement(meet(one,X_1418)))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,complement(meet(one,X_1418)))))),complement(converse(converse(composition(top,complement(meet(one,X_1418))))))) )],[refute_0_6085,refute_0_6086]) ).
cnf(refute_0_6088,plain,
complement(converse(converse(composition(top,complement(meet(one,X_1418)))))) = complement(composition(top,complement(meet(one,X_1418)))),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(meet(one,X_1418))))),composition(top,complement(meet(one,X_1418)))) )],[refute_0_6084,refute_0_6087]) ).
cnf(refute_0_6089,plain,
converse(complement(converse(composition(top,complement(meet(one,X_1418)))))) = complement(converse(converse(composition(top,complement(meet(one,X_1418)))))),
inference(subst,[],[refute_0_2565:[bind(X_183,$fot(converse(composition(top,complement(meet(one,X_1418))))))]]) ).
cnf(refute_0_6090,plain,
( complement(converse(converse(composition(top,complement(meet(one,X_1418)))))) != complement(composition(top,complement(meet(one,X_1418))))
| converse(complement(converse(composition(top,complement(meet(one,X_1418)))))) != complement(converse(converse(composition(top,complement(meet(one,X_1418))))))
| converse(complement(converse(composition(top,complement(meet(one,X_1418)))))) = complement(composition(top,complement(meet(one,X_1418)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(complement(converse(composition(top,complement(meet(one,X_1418)))))))),bind(Y,$fot(complement(converse(converse(composition(top,complement(meet(one,X_1418)))))))),bind(Z,$fot(complement(composition(top,complement(meet(one,X_1418))))))]]) ).
cnf(refute_0_6091,plain,
( complement(converse(converse(composition(top,complement(meet(one,X_1418)))))) != complement(composition(top,complement(meet(one,X_1418))))
| converse(complement(converse(composition(top,complement(meet(one,X_1418)))))) = complement(composition(top,complement(meet(one,X_1418)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(meet(one,X_1418)))))),complement(converse(converse(composition(top,complement(meet(one,X_1418))))))) )],[refute_0_6089,refute_0_6090]) ).
cnf(refute_0_6092,plain,
converse(complement(converse(composition(top,complement(meet(one,X_1418)))))) = complement(composition(top,complement(meet(one,X_1418)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,complement(meet(one,X_1418)))))),complement(composition(top,complement(meet(one,X_1418))))) )],[refute_0_6088,refute_0_6091]) ).
cnf(refute_0_6093,plain,
composition(join(one,complement(meet(one,X_370))),complement(converse(composition(top,complement(meet(one,X_370)))))) = composition(one,complement(converse(composition(top,complement(meet(one,X_370)))))),
inference(subst,[],[refute_0_3215:[bind(X_147,$fot(one)),bind(X_148,$fot(complement(meet(one,X_370))))]]) ).
cnf(refute_0_6094,plain,
join(one,complement(meet(one,X_370))) = top,
inference(subst,[],[refute_0_5001:[bind(X_25,$fot(X_370))]]) ).
cnf(refute_0_6095,plain,
( composition(join(one,complement(meet(one,X_370))),complement(converse(composition(top,complement(meet(one,X_370)))))) != composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))
| join(one,complement(meet(one,X_370))) != top
| composition(top,complement(converse(composition(top,complement(meet(one,X_370)))))) = composition(one,complement(converse(composition(top,complement(meet(one,X_370)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(meet(one,X_370))),complement(converse(composition(top,complement(meet(one,X_370)))))),composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_6096,plain,
( composition(join(one,complement(meet(one,X_370))),complement(converse(composition(top,complement(meet(one,X_370)))))) != composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))
| composition(top,complement(converse(composition(top,complement(meet(one,X_370)))))) = composition(one,complement(converse(composition(top,complement(meet(one,X_370)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(one,X_370))),top) )],[refute_0_6094,refute_0_6095]) ).
cnf(refute_0_6097,plain,
composition(top,complement(converse(composition(top,complement(meet(one,X_370)))))) = composition(one,complement(converse(composition(top,complement(meet(one,X_370)))))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(meet(one,X_370))),complement(converse(composition(top,complement(meet(one,X_370)))))),composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))) )],[refute_0_6093,refute_0_6096]) ).
cnf(refute_0_6098,plain,
composition(top,complement(converse(composition(top,complement(meet(one,X_370)))))) = converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)),
inference(subst,[],[refute_0_3352:[bind(X_183,$fot(composition(top,complement(meet(one,X_370)))))]]) ).
cnf(refute_0_6099,plain,
( composition(top,complement(converse(composition(top,complement(meet(one,X_370)))))) != composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))
| composition(top,complement(converse(composition(top,complement(meet(one,X_370)))))) != converse(composition(complement(composition(top,complement(meet(one,X_370)))),top))
| converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)) = composition(one,complement(converse(composition(top,complement(meet(one,X_370)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(meet(one,X_370)))))),composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))) ),[0],$fot(converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)))]]) ).
cnf(refute_0_6100,plain,
( composition(top,complement(converse(composition(top,complement(meet(one,X_370)))))) != composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))
| converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)) = composition(one,complement(converse(composition(top,complement(meet(one,X_370)))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(meet(one,X_370)))))),converse(composition(complement(composition(top,complement(meet(one,X_370)))),top))) )],[refute_0_6098,refute_0_6099]) ).
cnf(refute_0_6101,plain,
composition(one,complement(converse(composition(top,complement(meet(one,X_370)))))) = complement(converse(composition(top,complement(meet(one,X_370))))),
inference(subst,[],[refute_0_458:[bind(X_36,$fot(complement(converse(composition(top,complement(meet(one,X_370)))))))]]) ).
cnf(refute_0_6102,plain,
( composition(one,complement(converse(composition(top,complement(meet(one,X_370)))))) != complement(converse(composition(top,complement(meet(one,X_370)))))
| converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)) != composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))
| converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)) = complement(converse(composition(top,complement(meet(one,X_370))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)),composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))) ),[1],$fot(complement(converse(composition(top,complement(meet(one,X_370))))))]]) ).
cnf(refute_0_6103,plain,
( converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)) != composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))
| converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)) = complement(converse(composition(top,complement(meet(one,X_370))))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,complement(meet(one,X_370)))))),complement(converse(composition(top,complement(meet(one,X_370)))))) )],[refute_0_6101,refute_0_6102]) ).
cnf(refute_0_6104,plain,
( composition(top,complement(converse(composition(top,complement(meet(one,X_370)))))) != composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))
| converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)) = complement(converse(composition(top,complement(meet(one,X_370))))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)),composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))) )],[refute_0_6100,refute_0_6103]) ).
cnf(refute_0_6105,plain,
converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)) = complement(converse(composition(top,complement(meet(one,X_370))))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(meet(one,X_370)))))),composition(one,complement(converse(composition(top,complement(meet(one,X_370))))))) )],[refute_0_6097,refute_0_6104]) ).
cnf(refute_0_6106,plain,
converse(composition(top,composition(complement(composition(top,X_161)),top))) = composition(top,composition(complement(composition(top,X_161)),converse(composition(top,complement(composition(top,X_161)))))),
inference(subst,[],[refute_0_3506:[bind(X_161,$fot(complement(composition(top,X_161))))]]) ).
cnf(refute_0_6107,plain,
( composition(top,complement(composition(top,X_161))) != complement(composition(top,X_161))
| converse(composition(top,composition(complement(composition(top,X_161)),top))) != composition(top,composition(complement(composition(top,X_161)),converse(composition(top,complement(composition(top,X_161))))))
| converse(composition(top,composition(complement(composition(top,X_161)),top))) = composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,X_161)),top))),composition(top,composition(complement(composition(top,X_161)),converse(composition(top,complement(composition(top,X_161))))))) ),[1,1,1,0],$fot(complement(composition(top,X_161)))]]) ).
cnf(refute_0_6108,plain,
( converse(composition(top,composition(complement(composition(top,X_161)),top))) != composition(top,composition(complement(composition(top,X_161)),converse(composition(top,complement(composition(top,X_161))))))
| converse(composition(top,composition(complement(composition(top,X_161)),top))) = composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_161))),complement(composition(top,X_161))) )],[refute_0_2925,refute_0_6107]) ).
cnf(refute_0_6109,plain,
converse(composition(top,composition(complement(composition(top,X_161)),top))) = composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,X_161)),top))),composition(top,composition(complement(composition(top,X_161)),converse(composition(top,complement(composition(top,X_161))))))) )],[refute_0_6106,refute_0_6108]) ).
cnf(refute_0_6110,plain,
composition(top,composition(complement(composition(top,X_185)),C)) = composition(composition(top,complement(composition(top,X_185))),C),
inference(subst,[],[composition_associativity_5:[bind(A,$fot(top)),bind(B,$fot(complement(composition(top,X_185))))]]) ).
cnf(refute_0_6111,plain,
( composition(top,complement(composition(top,X_185))) != complement(composition(top,X_185))
| composition(top,composition(complement(composition(top,X_185)),C)) != composition(composition(top,complement(composition(top,X_185))),C)
| composition(top,composition(complement(composition(top,X_185)),C)) = composition(complement(composition(top,X_185)),C) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(composition(top,X_185)),C)),composition(composition(top,complement(composition(top,X_185))),C)) ),[1,0],$fot(complement(composition(top,X_185)))]]) ).
cnf(refute_0_6112,plain,
( composition(top,composition(complement(composition(top,X_185)),C)) != composition(composition(top,complement(composition(top,X_185))),C)
| composition(top,composition(complement(composition(top,X_185)),C)) = composition(complement(composition(top,X_185)),C) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_185))),complement(composition(top,X_185))) )],[refute_0_2952,refute_0_6111]) ).
cnf(refute_0_6113,plain,
composition(top,composition(complement(composition(top,X_185)),C)) = composition(complement(composition(top,X_185)),C),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,X_185)),C)),composition(composition(top,complement(composition(top,X_185))),C)) )],[refute_0_6110,refute_0_6112]) ).
cnf(refute_0_6114,plain,
composition(top,composition(complement(composition(top,X_161)),top)) = composition(complement(composition(top,X_161)),top),
inference(subst,[],[refute_0_6113:[bind(C,$fot(top)),bind(X_185,$fot(X_161))]]) ).
cnf(refute_0_6115,plain,
converse(composition(top,composition(X_528,converse(composition(top,X_528))))) = composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)),
inference(subst,[],[converse_multiplicativity_10:[bind(A,$fot(top)),bind(B,$fot(composition(X_528,converse(composition(top,X_528)))))]]) ).
cnf(refute_0_6116,plain,
converse(composition(top,composition(X_528,top))) = composition(top,composition(X_528,converse(composition(top,X_528)))),
inference(subst,[],[refute_0_3506:[bind(X_161,$fot(X_528))]]) ).
cnf(refute_0_6117,plain,
( converse(composition(top,composition(X_528,top))) != composition(top,composition(X_528,converse(composition(top,X_528))))
| composition(top,composition(X_528,converse(composition(top,X_528)))) = converse(composition(top,composition(X_528,top))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(top,composition(X_528,top))))),bind(Y,$fot(composition(top,composition(X_528,converse(composition(top,X_528))))))]]) ).
cnf(refute_0_6118,plain,
composition(top,composition(X_528,converse(composition(top,X_528)))) = converse(composition(top,composition(X_528,top))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(X_528,top))),composition(top,composition(X_528,converse(composition(top,X_528))))) )],[refute_0_6116,refute_0_6117]) ).
cnf(refute_0_6119,plain,
( composition(top,composition(X_528,converse(composition(top,X_528)))) != converse(composition(top,composition(X_528,top)))
| converse(composition(top,composition(X_528,converse(composition(top,X_528))))) != composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))
| converse(converse(composition(top,composition(X_528,top)))) = composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(X_528,converse(composition(top,X_528))))),composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))) ),[0,0],$fot(converse(composition(top,composition(X_528,top))))]]) ).
cnf(refute_0_6120,plain,
( converse(composition(top,composition(X_528,converse(composition(top,X_528))))) != composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))
| converse(converse(composition(top,composition(X_528,top)))) = composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(X_528,converse(composition(top,X_528)))),converse(composition(top,composition(X_528,top)))) )],[refute_0_6118,refute_0_6119]) ).
cnf(refute_0_6121,plain,
converse(converse(composition(top,composition(X_528,top)))) = composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(X_528,converse(composition(top,X_528))))),composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))) )],[refute_0_6115,refute_0_6120]) ).
cnf(refute_0_6122,plain,
converse(converse(composition(top,composition(X_528,top)))) = composition(top,composition(X_528,top)),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(composition(top,composition(X_528,top))))]]) ).
cnf(refute_0_6123,plain,
( converse(converse(composition(top,composition(X_528,top)))) != composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))
| converse(converse(composition(top,composition(X_528,top)))) != composition(top,composition(X_528,top))
| composition(top,composition(X_528,top)) = composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,composition(X_528,top)))),composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))) ),[0],$fot(composition(top,composition(X_528,top)))]]) ).
cnf(refute_0_6124,plain,
( converse(converse(composition(top,composition(X_528,top)))) != composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))
| composition(top,composition(X_528,top)) = composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,composition(X_528,top)))),composition(top,composition(X_528,top))) )],[refute_0_6122,refute_0_6123]) ).
cnf(refute_0_6125,plain,
composition(composition(top,X_528),converse(composition(top,X_528))) = composition(top,composition(X_528,converse(composition(top,X_528)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(X_528)),bind(C,$fot(converse(composition(top,X_528))))]]) ).
cnf(refute_0_6126,plain,
( composition(composition(top,X_528),converse(composition(top,X_528))) != composition(top,composition(X_528,converse(composition(top,X_528))))
| composition(top,composition(X_528,converse(composition(top,X_528)))) != converse(composition(top,composition(X_528,top)))
| composition(composition(top,X_528),converse(composition(top,X_528))) = converse(composition(top,composition(X_528,top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(composition(top,X_528),converse(composition(top,X_528))))),bind(Y,$fot(composition(top,composition(X_528,converse(composition(top,X_528)))))),bind(Z,$fot(converse(composition(top,composition(X_528,top)))))]]) ).
cnf(refute_0_6127,plain,
( composition(top,composition(X_528,converse(composition(top,X_528)))) != converse(composition(top,composition(X_528,top)))
| composition(composition(top,X_528),converse(composition(top,X_528))) = converse(composition(top,composition(X_528,top))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,X_528),converse(composition(top,X_528))),composition(top,composition(X_528,converse(composition(top,X_528))))) )],[refute_0_6125,refute_0_6126]) ).
cnf(refute_0_6128,plain,
composition(composition(top,X_528),converse(composition(top,X_528))) = converse(composition(top,composition(X_528,top))),
inference(resolve,[$cnf( $equal(composition(top,composition(X_528,converse(composition(top,X_528)))),converse(composition(top,composition(X_528,top)))) )],[refute_0_6118,refute_0_6127]) ).
cnf(refute_0_6129,plain,
converse(composition(top,composition(X_528,converse(composition(top,X_528))))) = composition(composition(top,X_528),converse(composition(top,X_528))),
inference(subst,[],[refute_0_4208:[bind(X_242,$fot(X_528)),bind(X_243,$fot(composition(top,X_528))),bind(X_34,$fot(top))]]) ).
cnf(refute_0_6130,plain,
( composition(composition(top,X_528),converse(composition(top,X_528))) != converse(composition(top,composition(X_528,top)))
| converse(composition(top,composition(X_528,converse(composition(top,X_528))))) != composition(composition(top,X_528),converse(composition(top,X_528)))
| converse(composition(top,composition(X_528,converse(composition(top,X_528))))) = converse(composition(top,composition(X_528,top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,composition(X_528,converse(composition(top,X_528))))))),bind(Y,$fot(composition(composition(top,X_528),converse(composition(top,X_528))))),bind(Z,$fot(converse(composition(top,composition(X_528,top)))))]]) ).
cnf(refute_0_6131,plain,
( composition(composition(top,X_528),converse(composition(top,X_528))) != converse(composition(top,composition(X_528,top)))
| converse(composition(top,composition(X_528,converse(composition(top,X_528))))) = converse(composition(top,composition(X_528,top))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(X_528,converse(composition(top,X_528))))),composition(composition(top,X_528),converse(composition(top,X_528)))) )],[refute_0_6129,refute_0_6130]) ).
cnf(refute_0_6132,plain,
converse(composition(top,composition(X_528,converse(composition(top,X_528))))) = converse(composition(top,composition(X_528,top))),
inference(resolve,[$cnf( $equal(composition(composition(top,X_528),converse(composition(top,X_528))),converse(composition(top,composition(X_528,top)))) )],[refute_0_6128,refute_0_6131]) ).
cnf(refute_0_6133,plain,
composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)) = converse(composition(top,composition(X_528,converse(composition(top,X_528))))),
inference(subst,[],[refute_0_1734:[bind(A,$fot(top)),bind(B,$fot(composition(X_528,converse(composition(top,X_528)))))]]) ).
cnf(refute_0_6134,plain,
( composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)) != converse(composition(top,composition(X_528,converse(composition(top,X_528)))))
| converse(composition(top,composition(X_528,converse(composition(top,X_528))))) != converse(composition(top,composition(X_528,top)))
| composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)) = converse(composition(top,composition(X_528,top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)))),bind(Y,$fot(converse(composition(top,composition(X_528,converse(composition(top,X_528))))))),bind(Z,$fot(converse(composition(top,composition(X_528,top)))))]]) ).
cnf(refute_0_6135,plain,
( converse(composition(top,composition(X_528,converse(composition(top,X_528))))) != converse(composition(top,composition(X_528,top)))
| composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)) = converse(composition(top,composition(X_528,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)),converse(composition(top,composition(X_528,converse(composition(top,X_528)))))) )],[refute_0_6133,refute_0_6134]) ).
cnf(refute_0_6136,plain,
composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)) = converse(composition(top,composition(X_528,top))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(X_528,converse(composition(top,X_528))))),converse(composition(top,composition(X_528,top)))) )],[refute_0_6132,refute_0_6135]) ).
cnf(refute_0_6137,plain,
( composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)) != converse(composition(top,composition(X_528,top)))
| composition(top,composition(X_528,top)) != composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))
| composition(top,composition(X_528,top)) = converse(composition(top,composition(X_528,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(X_528,top)),composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))) ),[1],$fot(converse(composition(top,composition(X_528,top))))]]) ).
cnf(refute_0_6138,plain,
( composition(top,composition(X_528,top)) != composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))
| composition(top,composition(X_528,top)) = converse(composition(top,composition(X_528,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top)),converse(composition(top,composition(X_528,top)))) )],[refute_0_6136,refute_0_6137]) ).
cnf(refute_0_6139,plain,
( converse(converse(composition(top,composition(X_528,top)))) != composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))
| composition(top,composition(X_528,top)) = converse(composition(top,composition(X_528,top))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(X_528,top)),composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))) )],[refute_0_6124,refute_0_6138]) ).
cnf(refute_0_6140,plain,
composition(top,composition(X_528,top)) = converse(composition(top,composition(X_528,top))),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,composition(X_528,top)))),composition(converse(composition(X_528,converse(composition(top,X_528)))),converse(top))) )],[refute_0_6121,refute_0_6139]) ).
cnf(refute_0_6141,plain,
( composition(top,composition(X_528,top)) != converse(composition(top,composition(X_528,top)))
| converse(composition(top,composition(X_528,top))) = composition(top,composition(X_528,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,composition(X_528,top)))),bind(Y,$fot(converse(composition(top,composition(X_528,top)))))]]) ).
cnf(refute_0_6142,plain,
converse(composition(top,composition(X_528,top))) = composition(top,composition(X_528,top)),
inference(resolve,[$cnf( $equal(composition(top,composition(X_528,top)),converse(composition(top,composition(X_528,top)))) )],[refute_0_6140,refute_0_6141]) ).
cnf(refute_0_6143,plain,
converse(composition(top,composition(complement(composition(top,X_161)),top))) = composition(top,composition(complement(composition(top,X_161)),top)),
inference(subst,[],[refute_0_6142:[bind(X_528,$fot(complement(composition(top,X_161))))]]) ).
cnf(refute_0_6144,plain,
( composition(top,composition(complement(composition(top,X_161)),top)) != composition(complement(composition(top,X_161)),top)
| converse(composition(top,composition(complement(composition(top,X_161)),top))) != composition(top,composition(complement(composition(top,X_161)),top))
| converse(composition(top,composition(complement(composition(top,X_161)),top))) = composition(complement(composition(top,X_161)),top) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(top,composition(complement(composition(top,X_161)),top))))),bind(Y,$fot(composition(top,composition(complement(composition(top,X_161)),top)))),bind(Z,$fot(composition(complement(composition(top,X_161)),top)))]]) ).
cnf(refute_0_6145,plain,
( composition(top,composition(complement(composition(top,X_161)),top)) != composition(complement(composition(top,X_161)),top)
| converse(composition(top,composition(complement(composition(top,X_161)),top))) = composition(complement(composition(top,X_161)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,X_161)),top))),composition(top,composition(complement(composition(top,X_161)),top))) )],[refute_0_6143,refute_0_6144]) ).
cnf(refute_0_6146,plain,
converse(composition(top,composition(complement(composition(top,X_161)),top))) = composition(complement(composition(top,X_161)),top),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,X_161)),top)),composition(complement(composition(top,X_161)),top)) )],[refute_0_6114,refute_0_6145]) ).
cnf(refute_0_6147,plain,
( converse(composition(top,composition(complement(composition(top,X_161)),top))) != composition(complement(composition(top,X_161)),top)
| converse(composition(top,composition(complement(composition(top,X_161)),top))) != composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))))
| composition(complement(composition(top,X_161)),top) = composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,X_161)),top))),composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))))) ),[0],$fot(composition(complement(composition(top,X_161)),top))]]) ).
cnf(refute_0_6148,plain,
( converse(composition(top,composition(complement(composition(top,X_161)),top))) != composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))))
| composition(complement(composition(top,X_161)),top) = composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,X_161)),top))),composition(complement(composition(top,X_161)),top)) )],[refute_0_6146,refute_0_6147]) ).
cnf(refute_0_6149,plain,
converse(composition(complement(composition(top,composition(top,C))),top)) = composition(complement(composition(top,C)),complement(converse(composition(top,composition(top,C))))),
inference(subst,[],[refute_0_3452:[bind(X_213,$fot(composition(top,C)))]]) ).
cnf(refute_0_6150,plain,
( composition(top,composition(top,C)) != composition(top,C)
| converse(composition(complement(composition(top,composition(top,C))),top)) != composition(complement(composition(top,C)),complement(converse(composition(top,composition(top,C)))))
| converse(composition(complement(composition(top,composition(top,C))),top)) = composition(complement(composition(top,C)),complement(converse(composition(top,C)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,composition(top,C))),top)),composition(complement(composition(top,C)),complement(converse(composition(top,composition(top,C)))))) ),[1,1,0,0],$fot(composition(top,C))]]) ).
cnf(refute_0_6151,plain,
( converse(composition(complement(composition(top,composition(top,C))),top)) != composition(complement(composition(top,C)),complement(converse(composition(top,composition(top,C)))))
| converse(composition(complement(composition(top,composition(top,C))),top)) = composition(complement(composition(top,C)),complement(converse(composition(top,C)))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,C)),composition(top,C)) )],[refute_0_2895,refute_0_6150]) ).
cnf(refute_0_6152,plain,
converse(composition(complement(composition(top,composition(top,C))),top)) = composition(complement(composition(top,C)),complement(converse(composition(top,C)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,composition(top,C))),top)),composition(complement(composition(top,C)),complement(converse(composition(top,composition(top,C)))))) )],[refute_0_6149,refute_0_6151]) ).
cnf(refute_0_6153,plain,
complement(composition(top,composition(top,C))) = complement(composition(top,composition(top,C))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(top,C))))]]) ).
cnf(refute_0_6154,plain,
( complement(composition(top,composition(top,C))) != complement(composition(top,composition(top,C)))
| composition(top,composition(top,C)) != composition(top,C)
| complement(composition(top,composition(top,C))) = complement(composition(top,C)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(top,C))),complement(composition(top,composition(top,C)))) ),[1,0],$fot(composition(top,C))]]) ).
cnf(refute_0_6155,plain,
( composition(top,composition(top,C)) != composition(top,C)
| complement(composition(top,composition(top,C))) = complement(composition(top,C)) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(top,C))),complement(composition(top,composition(top,C)))) )],[refute_0_6153,refute_0_6154]) ).
cnf(refute_0_6156,plain,
complement(composition(top,composition(top,C))) = complement(composition(top,C)),
inference(resolve,[$cnf( $equal(composition(top,composition(top,C)),composition(top,C)) )],[refute_0_2895,refute_0_6155]) ).
cnf(refute_0_6157,plain,
composition(complement(composition(top,composition(top,C))),top) = composition(complement(composition(top,composition(top,C))),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,composition(top,C))),top))]]) ).
cnf(refute_0_6158,plain,
( complement(composition(top,composition(top,C))) != complement(composition(top,C))
| composition(complement(composition(top,composition(top,C))),top) != composition(complement(composition(top,composition(top,C))),top)
| composition(complement(composition(top,composition(top,C))),top) = composition(complement(composition(top,C)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,composition(top,C))),top),composition(complement(composition(top,composition(top,C))),top)) ),[1,0],$fot(complement(composition(top,C)))]]) ).
cnf(refute_0_6159,plain,
( complement(composition(top,composition(top,C))) != complement(composition(top,C))
| composition(complement(composition(top,composition(top,C))),top) = composition(complement(composition(top,C)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,composition(top,C))),top),composition(complement(composition(top,composition(top,C))),top)) )],[refute_0_6157,refute_0_6158]) ).
cnf(refute_0_6160,plain,
composition(complement(composition(top,composition(top,C))),top) = composition(complement(composition(top,C)),top),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(top,C))),complement(composition(top,C))) )],[refute_0_6156,refute_0_6159]) ).
cnf(refute_0_6161,plain,
converse(composition(complement(composition(top,composition(top,C))),top)) = converse(composition(complement(composition(top,composition(top,C))),top)),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(top,composition(top,C))),top)))]]) ).
cnf(refute_0_6162,plain,
( composition(complement(composition(top,composition(top,C))),top) != composition(complement(composition(top,C)),top)
| converse(composition(complement(composition(top,composition(top,C))),top)) != converse(composition(complement(composition(top,composition(top,C))),top))
| converse(composition(complement(composition(top,composition(top,C))),top)) = converse(composition(complement(composition(top,C)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,composition(top,C))),top)),converse(composition(complement(composition(top,composition(top,C))),top))) ),[1,0],$fot(composition(complement(composition(top,C)),top))]]) ).
cnf(refute_0_6163,plain,
( composition(complement(composition(top,composition(top,C))),top) != composition(complement(composition(top,C)),top)
| converse(composition(complement(composition(top,composition(top,C))),top)) = converse(composition(complement(composition(top,C)),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,composition(top,C))),top)),converse(composition(complement(composition(top,composition(top,C))),top))) )],[refute_0_6161,refute_0_6162]) ).
cnf(refute_0_6164,plain,
converse(composition(complement(composition(top,composition(top,C))),top)) = converse(composition(complement(composition(top,C)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,composition(top,C))),top),composition(complement(composition(top,C)),top)) )],[refute_0_6160,refute_0_6163]) ).
cnf(refute_0_6165,plain,
( converse(composition(complement(composition(top,composition(top,C))),top)) != composition(complement(composition(top,C)),complement(converse(composition(top,C))))
| converse(composition(complement(composition(top,composition(top,C))),top)) != converse(composition(complement(composition(top,C)),top))
| converse(composition(complement(composition(top,C)),top)) = composition(complement(composition(top,C)),complement(converse(composition(top,C)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,composition(top,C))),top)),composition(complement(composition(top,C)),complement(converse(composition(top,C))))) ),[0],$fot(converse(composition(complement(composition(top,C)),top)))]]) ).
cnf(refute_0_6166,plain,
( converse(composition(complement(composition(top,composition(top,C))),top)) != composition(complement(composition(top,C)),complement(converse(composition(top,C))))
| converse(composition(complement(composition(top,C)),top)) = composition(complement(composition(top,C)),complement(converse(composition(top,C)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,composition(top,C))),top)),converse(composition(complement(composition(top,C)),top))) )],[refute_0_6164,refute_0_6165]) ).
cnf(refute_0_6167,plain,
converse(composition(complement(composition(top,C)),top)) = composition(complement(composition(top,C)),complement(converse(composition(top,C)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,composition(top,C))),top)),composition(complement(composition(top,C)),complement(converse(composition(top,C))))) )],[refute_0_6152,refute_0_6166]) ).
cnf(refute_0_6168,plain,
( converse(composition(complement(composition(top,C)),top)) != composition(complement(composition(top,C)),complement(converse(composition(top,C))))
| composition(complement(composition(top,C)),complement(converse(composition(top,C)))) = converse(composition(complement(composition(top,C)),top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(complement(composition(top,C)),top)))),bind(Y,$fot(composition(complement(composition(top,C)),complement(converse(composition(top,C))))))]]) ).
cnf(refute_0_6169,plain,
composition(complement(composition(top,C)),complement(converse(composition(top,C)))) = converse(composition(complement(composition(top,C)),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,C)),top)),composition(complement(composition(top,C)),complement(converse(composition(top,C))))) )],[refute_0_6167,refute_0_6168]) ).
cnf(refute_0_6170,plain,
composition(complement(composition(top,X_161)),complement(converse(composition(top,X_161)))) = converse(composition(complement(composition(top,X_161)),top)),
inference(subst,[],[refute_0_6169:[bind(C,$fot(X_161))]]) ).
cnf(refute_0_6171,plain,
composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))) = composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))))]]) ).
cnf(refute_0_6172,plain,
( composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))) != composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))
| converse(complement(composition(top,X_161))) != complement(converse(composition(top,X_161)))
| composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))) = composition(complement(composition(top,X_161)),complement(converse(composition(top,X_161)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))),composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) ),[1,1],$fot(complement(converse(composition(top,X_161))))]]) ).
cnf(refute_0_6173,plain,
( converse(complement(composition(top,X_161))) != complement(converse(composition(top,X_161)))
| composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))) = composition(complement(composition(top,X_161)),complement(converse(composition(top,X_161)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))),composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) )],[refute_0_6171,refute_0_6172]) ).
cnf(refute_0_6174,plain,
composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))) = composition(complement(composition(top,X_161)),complement(converse(composition(top,X_161)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,X_161))),complement(converse(composition(top,X_161)))) )],[refute_0_3481,refute_0_6173]) ).
cnf(refute_0_6175,plain,
( composition(complement(composition(top,X_161)),complement(converse(composition(top,X_161)))) != converse(composition(complement(composition(top,X_161)),top))
| composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))) != composition(complement(composition(top,X_161)),complement(converse(composition(top,X_161))))
| composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))) = converse(composition(complement(composition(top,X_161)),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))))),bind(Y,$fot(composition(complement(composition(top,X_161)),complement(converse(composition(top,X_161)))))),bind(Z,$fot(converse(composition(complement(composition(top,X_161)),top))))]]) ).
cnf(refute_0_6176,plain,
( composition(complement(composition(top,X_161)),complement(converse(composition(top,X_161)))) != converse(composition(complement(composition(top,X_161)),top))
| composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))) = converse(composition(complement(composition(top,X_161)),top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))),composition(complement(composition(top,X_161)),complement(converse(composition(top,X_161))))) )],[refute_0_6174,refute_0_6175]) ).
cnf(refute_0_6177,plain,
composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))) = converse(composition(complement(composition(top,X_161)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_161)),complement(converse(composition(top,X_161)))),converse(composition(complement(composition(top,X_161)),top))) )],[refute_0_6170,refute_0_6176]) ).
cnf(refute_0_6178,plain,
composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) = composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))),
inference(subst,[],[refute_0_6113:[bind(C,$fot(converse(complement(composition(top,X_161))))),bind(X_185,$fot(X_161))]]) ).
cnf(refute_0_6179,plain,
( composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))) != converse(composition(complement(composition(top,X_161)),top))
| composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) != composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))
| composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) = converse(composition(complement(composition(top,X_161)),top)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))))),bind(Y,$fot(composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))))),bind(Z,$fot(converse(composition(complement(composition(top,X_161)),top))))]]) ).
cnf(refute_0_6180,plain,
( composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))) != converse(composition(complement(composition(top,X_161)),top))
| composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) = converse(composition(complement(composition(top,X_161)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))),composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) )],[refute_0_6178,refute_0_6179]) ).
cnf(refute_0_6181,plain,
composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) = converse(composition(complement(composition(top,X_161)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))),converse(composition(complement(composition(top,X_161)),top))) )],[refute_0_6177,refute_0_6180]) ).
cnf(refute_0_6182,plain,
( composition(complement(composition(top,X_161)),top) != composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))))
| composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))) != converse(composition(complement(composition(top,X_161)),top))
| composition(complement(composition(top,X_161)),top) = converse(composition(complement(composition(top,X_161)),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(composition(top,X_161)),top),converse(composition(complement(composition(top,X_161)),top))) ),[0],$fot(composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))))]]) ).
cnf(refute_0_6183,plain,
( composition(complement(composition(top,X_161)),top) != composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))))
| composition(complement(composition(top,X_161)),top) = converse(composition(complement(composition(top,X_161)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161))))),converse(composition(complement(composition(top,X_161)),top))) )],[refute_0_6181,refute_0_6182]) ).
cnf(refute_0_6184,plain,
( converse(composition(top,composition(complement(composition(top,X_161)),top))) != composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))))
| composition(complement(composition(top,X_161)),top) = converse(composition(complement(composition(top,X_161)),top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_161)),top),composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))))) )],[refute_0_6148,refute_0_6183]) ).
cnf(refute_0_6185,plain,
composition(complement(composition(top,X_161)),top) = converse(composition(complement(composition(top,X_161)),top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,X_161)),top))),composition(top,composition(complement(composition(top,X_161)),converse(complement(composition(top,X_161)))))) )],[refute_0_6109,refute_0_6184]) ).
cnf(refute_0_6186,plain,
( composition(complement(composition(top,X_161)),top) != converse(composition(complement(composition(top,X_161)),top))
| converse(composition(complement(composition(top,X_161)),top)) = composition(complement(composition(top,X_161)),top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(complement(composition(top,X_161)),top))),bind(Y,$fot(converse(composition(complement(composition(top,X_161)),top))))]]) ).
cnf(refute_0_6187,plain,
converse(composition(complement(composition(top,X_161)),top)) = composition(complement(composition(top,X_161)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_161)),top),converse(composition(complement(composition(top,X_161)),top))) )],[refute_0_6185,refute_0_6186]) ).
cnf(refute_0_6188,plain,
converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)) = composition(complement(composition(top,complement(meet(one,X_370)))),top),
inference(subst,[],[refute_0_6187:[bind(X_161,$fot(complement(meet(one,X_370))))]]) ).
cnf(refute_0_6189,plain,
( converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)) != complement(converse(composition(top,complement(meet(one,X_370)))))
| converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)) != composition(complement(composition(top,complement(meet(one,X_370)))),top)
| composition(complement(composition(top,complement(meet(one,X_370)))),top) = complement(converse(composition(top,complement(meet(one,X_370))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)),complement(converse(composition(top,complement(meet(one,X_370)))))) ),[0],$fot(composition(complement(composition(top,complement(meet(one,X_370)))),top))]]) ).
cnf(refute_0_6190,plain,
( converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)) != complement(converse(composition(top,complement(meet(one,X_370)))))
| composition(complement(composition(top,complement(meet(one,X_370)))),top) = complement(converse(composition(top,complement(meet(one,X_370))))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)),composition(complement(composition(top,complement(meet(one,X_370)))),top)) )],[refute_0_6188,refute_0_6189]) ).
cnf(refute_0_6191,plain,
composition(complement(composition(top,complement(meet(one,X_370)))),top) = complement(converse(composition(top,complement(meet(one,X_370))))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(meet(one,X_370)))),top)),complement(converse(composition(top,complement(meet(one,X_370)))))) )],[refute_0_6105,refute_0_6190]) ).
cnf(refute_0_6192,plain,
composition(complement(composition(top,complement(meet(one,X_1418)))),top) = complement(converse(composition(top,complement(meet(one,X_1418))))),
inference(subst,[],[refute_0_6191:[bind(X_370,$fot(X_1418))]]) ).
cnf(refute_0_6193,plain,
converse(composition(A,complement(converse(composition(top,complement(A)))))) = composition(converse(complement(converse(composition(top,complement(A))))),converse(A)),
inference(subst,[],[converse_multiplicativity_10:[bind(B,$fot(complement(converse(composition(top,complement(A))))))]]) ).
cnf(refute_0_6194,plain,
composition(join(X_224,complement(X_224)),complement(converse(composition(top,complement(X_224))))) = composition(X_224,complement(converse(composition(top,complement(X_224))))),
inference(subst,[],[refute_0_3215:[bind(X_147,$fot(X_224)),bind(X_148,$fot(complement(X_224)))]]) ).
cnf(refute_0_6195,plain,
top = join(X_224,complement(X_224)),
inference(subst,[],[def_top_12:[bind(A,$fot(X_224))]]) ).
cnf(refute_0_6196,plain,
( top != join(X_224,complement(X_224))
| join(X_224,complement(X_224)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(X_224,complement(X_224))))]]) ).
cnf(refute_0_6197,plain,
join(X_224,complement(X_224)) = top,
inference(resolve,[$cnf( $equal(top,join(X_224,complement(X_224))) )],[refute_0_6195,refute_0_6196]) ).
cnf(refute_0_6198,plain,
( composition(join(X_224,complement(X_224)),complement(converse(composition(top,complement(X_224))))) != composition(X_224,complement(converse(composition(top,complement(X_224)))))
| join(X_224,complement(X_224)) != top
| composition(top,complement(converse(composition(top,complement(X_224))))) = composition(X_224,complement(converse(composition(top,complement(X_224))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_224,complement(X_224)),complement(converse(composition(top,complement(X_224))))),composition(X_224,complement(converse(composition(top,complement(X_224)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_6199,plain,
( composition(join(X_224,complement(X_224)),complement(converse(composition(top,complement(X_224))))) != composition(X_224,complement(converse(composition(top,complement(X_224)))))
| composition(top,complement(converse(composition(top,complement(X_224))))) = composition(X_224,complement(converse(composition(top,complement(X_224))))) ),
inference(resolve,[$cnf( $equal(join(X_224,complement(X_224)),top) )],[refute_0_6197,refute_0_6198]) ).
cnf(refute_0_6200,plain,
composition(top,complement(converse(composition(top,complement(X_224))))) = composition(X_224,complement(converse(composition(top,complement(X_224))))),
inference(resolve,[$cnf( $equal(composition(join(X_224,complement(X_224)),complement(converse(composition(top,complement(X_224))))),composition(X_224,complement(converse(composition(top,complement(X_224)))))) )],[refute_0_6194,refute_0_6199]) ).
cnf(refute_0_6201,plain,
composition(top,complement(converse(composition(top,complement(X_224))))) = converse(composition(complement(composition(top,complement(X_224))),top)),
inference(subst,[],[refute_0_3352:[bind(X_183,$fot(composition(top,complement(X_224))))]]) ).
cnf(refute_0_6202,plain,
( composition(top,complement(converse(composition(top,complement(X_224))))) != composition(X_224,complement(converse(composition(top,complement(X_224)))))
| composition(top,complement(converse(composition(top,complement(X_224))))) != converse(composition(complement(composition(top,complement(X_224))),top))
| converse(composition(complement(composition(top,complement(X_224))),top)) = composition(X_224,complement(converse(composition(top,complement(X_224))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(X_224))))),composition(X_224,complement(converse(composition(top,complement(X_224)))))) ),[0],$fot(converse(composition(complement(composition(top,complement(X_224))),top)))]]) ).
cnf(refute_0_6203,plain,
( composition(top,complement(converse(composition(top,complement(X_224))))) != composition(X_224,complement(converse(composition(top,complement(X_224)))))
| converse(composition(complement(composition(top,complement(X_224))),top)) = composition(X_224,complement(converse(composition(top,complement(X_224))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(X_224))))),converse(composition(complement(composition(top,complement(X_224))),top))) )],[refute_0_6201,refute_0_6202]) ).
cnf(refute_0_6204,plain,
converse(composition(complement(composition(top,complement(X_224))),top)) = composition(X_224,complement(converse(composition(top,complement(X_224))))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(X_224))))),composition(X_224,complement(converse(composition(top,complement(X_224)))))) )],[refute_0_6200,refute_0_6203]) ).
cnf(refute_0_6205,plain,
converse(composition(complement(composition(top,complement(X_224))),top)) = composition(complement(composition(top,complement(X_224))),top),
inference(subst,[],[refute_0_6187:[bind(X_161,$fot(complement(X_224)))]]) ).
cnf(refute_0_6206,plain,
( converse(composition(complement(composition(top,complement(X_224))),top)) != composition(X_224,complement(converse(composition(top,complement(X_224)))))
| converse(composition(complement(composition(top,complement(X_224))),top)) != composition(complement(composition(top,complement(X_224))),top)
| composition(complement(composition(top,complement(X_224))),top) = composition(X_224,complement(converse(composition(top,complement(X_224))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(X_224))),top)),composition(X_224,complement(converse(composition(top,complement(X_224)))))) ),[0],$fot(composition(complement(composition(top,complement(X_224))),top))]]) ).
cnf(refute_0_6207,plain,
( converse(composition(complement(composition(top,complement(X_224))),top)) != composition(X_224,complement(converse(composition(top,complement(X_224)))))
| composition(complement(composition(top,complement(X_224))),top) = composition(X_224,complement(converse(composition(top,complement(X_224))))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(X_224))),top)),composition(complement(composition(top,complement(X_224))),top)) )],[refute_0_6205,refute_0_6206]) ).
cnf(refute_0_6208,plain,
composition(complement(composition(top,complement(X_224))),top) = composition(X_224,complement(converse(composition(top,complement(X_224))))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(X_224))),top)),composition(X_224,complement(converse(composition(top,complement(X_224)))))) )],[refute_0_6204,refute_0_6207]) ).
cnf(refute_0_6209,plain,
composition(complement(composition(top,complement(A))),top) = composition(A,complement(converse(composition(top,complement(A))))),
inference(subst,[],[refute_0_6208:[bind(X_224,$fot(A))]]) ).
cnf(refute_0_6210,plain,
( composition(complement(composition(top,complement(A))),top) != composition(A,complement(converse(composition(top,complement(A)))))
| composition(A,complement(converse(composition(top,complement(A))))) = composition(complement(composition(top,complement(A))),top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(complement(composition(top,complement(A))),top))),bind(Y,$fot(composition(A,complement(converse(composition(top,complement(A)))))))]]) ).
cnf(refute_0_6211,plain,
composition(A,complement(converse(composition(top,complement(A))))) = composition(complement(composition(top,complement(A))),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(A))),top),composition(A,complement(converse(composition(top,complement(A)))))) )],[refute_0_6209,refute_0_6210]) ).
cnf(refute_0_6212,plain,
( composition(A,complement(converse(composition(top,complement(A))))) != composition(complement(composition(top,complement(A))),top)
| converse(composition(A,complement(converse(composition(top,complement(A)))))) != composition(converse(complement(converse(composition(top,complement(A))))),converse(A))
| converse(composition(complement(composition(top,complement(A))),top)) = composition(converse(complement(converse(composition(top,complement(A))))),converse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(A,complement(converse(composition(top,complement(A)))))),composition(converse(complement(converse(composition(top,complement(A))))),converse(A))) ),[0,0],$fot(composition(complement(composition(top,complement(A))),top))]]) ).
cnf(refute_0_6213,plain,
( converse(composition(A,complement(converse(composition(top,complement(A)))))) != composition(converse(complement(converse(composition(top,complement(A))))),converse(A))
| converse(composition(complement(composition(top,complement(A))),top)) = composition(converse(complement(converse(composition(top,complement(A))))),converse(A)) ),
inference(resolve,[$cnf( $equal(composition(A,complement(converse(composition(top,complement(A))))),composition(complement(composition(top,complement(A))),top)) )],[refute_0_6211,refute_0_6212]) ).
cnf(refute_0_6214,plain,
converse(composition(complement(composition(top,complement(A))),top)) = composition(converse(complement(converse(composition(top,complement(A))))),converse(A)),
inference(resolve,[$cnf( $equal(converse(composition(A,complement(converse(composition(top,complement(A)))))),composition(converse(complement(converse(composition(top,complement(A))))),converse(A))) )],[refute_0_6193,refute_0_6213]) ).
cnf(refute_0_6215,plain,
converse(composition(complement(composition(top,complement(A))),top)) = composition(complement(composition(top,complement(A))),top),
inference(subst,[],[refute_0_6187:[bind(X_161,$fot(complement(A)))]]) ).
cnf(refute_0_6216,plain,
( converse(composition(complement(composition(top,complement(A))),top)) != composition(complement(composition(top,complement(A))),top)
| converse(composition(complement(composition(top,complement(A))),top)) != composition(converse(complement(converse(composition(top,complement(A))))),converse(A))
| composition(complement(composition(top,complement(A))),top) = composition(converse(complement(converse(composition(top,complement(A))))),converse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(A))),top)),composition(converse(complement(converse(composition(top,complement(A))))),converse(A))) ),[0],$fot(composition(complement(composition(top,complement(A))),top))]]) ).
cnf(refute_0_6217,plain,
( converse(composition(complement(composition(top,complement(A))),top)) != composition(converse(complement(converse(composition(top,complement(A))))),converse(A))
| composition(complement(composition(top,complement(A))),top) = composition(converse(complement(converse(composition(top,complement(A))))),converse(A)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(A))),top)),composition(complement(composition(top,complement(A))),top)) )],[refute_0_6215,refute_0_6216]) ).
cnf(refute_0_6218,plain,
converse(composition(A,complement(converse(composition(top,complement(A)))))) = composition(complement(composition(top,complement(A))),converse(A)),
inference(subst,[],[refute_0_5354:[bind(X_324,$fot(composition(top,complement(A)))),bind(X_34,$fot(A))]]) ).
cnf(refute_0_6219,plain,
composition(converse(complement(converse(composition(top,complement(A))))),converse(A)) = converse(composition(A,complement(converse(composition(top,complement(A)))))),
inference(subst,[],[refute_0_1734:[bind(B,$fot(complement(converse(composition(top,complement(A))))))]]) ).
cnf(refute_0_6220,plain,
( composition(converse(complement(converse(composition(top,complement(A))))),converse(A)) != converse(composition(A,complement(converse(composition(top,complement(A))))))
| converse(composition(A,complement(converse(composition(top,complement(A)))))) != composition(complement(composition(top,complement(A))),converse(A))
| composition(converse(complement(converse(composition(top,complement(A))))),converse(A)) = composition(complement(composition(top,complement(A))),converse(A)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(complement(converse(composition(top,complement(A))))),converse(A)))),bind(Y,$fot(converse(composition(A,complement(converse(composition(top,complement(A)))))))),bind(Z,$fot(composition(complement(composition(top,complement(A))),converse(A))))]]) ).
cnf(refute_0_6221,plain,
( converse(composition(A,complement(converse(composition(top,complement(A)))))) != composition(complement(composition(top,complement(A))),converse(A))
| composition(converse(complement(converse(composition(top,complement(A))))),converse(A)) = composition(complement(composition(top,complement(A))),converse(A)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(A))))),converse(A)),converse(composition(A,complement(converse(composition(top,complement(A))))))) )],[refute_0_6219,refute_0_6220]) ).
cnf(refute_0_6222,plain,
composition(converse(complement(converse(composition(top,complement(A))))),converse(A)) = composition(complement(composition(top,complement(A))),converse(A)),
inference(resolve,[$cnf( $equal(converse(composition(A,complement(converse(composition(top,complement(A)))))),composition(complement(composition(top,complement(A))),converse(A))) )],[refute_0_6218,refute_0_6221]) ).
cnf(refute_0_6223,plain,
( composition(complement(composition(top,complement(A))),top) != composition(converse(complement(converse(composition(top,complement(A))))),converse(A))
| composition(converse(complement(converse(composition(top,complement(A))))),converse(A)) != composition(complement(composition(top,complement(A))),converse(A))
| composition(complement(composition(top,complement(A))),top) = composition(complement(composition(top,complement(A))),converse(A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(composition(top,complement(A))),top),composition(complement(composition(top,complement(A))),converse(A))) ),[0],$fot(composition(converse(complement(converse(composition(top,complement(A))))),converse(A)))]]) ).
cnf(refute_0_6224,plain,
( composition(complement(composition(top,complement(A))),top) != composition(converse(complement(converse(composition(top,complement(A))))),converse(A))
| composition(complement(composition(top,complement(A))),top) = composition(complement(composition(top,complement(A))),converse(A)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(A))))),converse(A)),composition(complement(composition(top,complement(A))),converse(A))) )],[refute_0_6222,refute_0_6223]) ).
cnf(refute_0_6225,plain,
( converse(composition(complement(composition(top,complement(A))),top)) != composition(converse(complement(converse(composition(top,complement(A))))),converse(A))
| composition(complement(composition(top,complement(A))),top) = composition(complement(composition(top,complement(A))),converse(A)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(A))),top),composition(converse(complement(converse(composition(top,complement(A))))),converse(A))) )],[refute_0_6217,refute_0_6224]) ).
cnf(refute_0_6226,plain,
composition(complement(composition(top,complement(A))),top) = composition(complement(composition(top,complement(A))),converse(A)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(A))),top)),composition(converse(complement(converse(composition(top,complement(A))))),converse(A))) )],[refute_0_6214,refute_0_6225]) ).
cnf(refute_0_6227,plain,
( composition(complement(composition(top,complement(A))),top) != composition(complement(composition(top,complement(A))),converse(A))
| composition(complement(composition(top,complement(A))),converse(A)) = composition(complement(composition(top,complement(A))),top) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(complement(composition(top,complement(A))),top))),bind(Y,$fot(composition(complement(composition(top,complement(A))),converse(A))))]]) ).
cnf(refute_0_6228,plain,
composition(complement(composition(top,complement(A))),converse(A)) = composition(complement(composition(top,complement(A))),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(A))),top),composition(complement(composition(top,complement(A))),converse(A))) )],[refute_0_6226,refute_0_6227]) ).
cnf(refute_0_6229,plain,
composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))) = composition(complement(composition(top,complement(meet(one,X_1418)))),top),
inference(subst,[],[refute_0_6228:[bind(A,$fot(meet(one,X_1418)))]]) ).
cnf(refute_0_6230,plain,
( composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))) != composition(complement(composition(top,complement(meet(one,X_1418)))),top)
| composition(complement(composition(top,complement(meet(one,X_1418)))),top) != complement(converse(composition(top,complement(meet(one,X_1418)))))
| composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))) = complement(converse(composition(top,complement(meet(one,X_1418))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))))),bind(Y,$fot(composition(complement(composition(top,complement(meet(one,X_1418)))),top))),bind(Z,$fot(complement(converse(composition(top,complement(meet(one,X_1418)))))))]]) ).
cnf(refute_0_6231,plain,
( composition(complement(composition(top,complement(meet(one,X_1418)))),top) != complement(converse(composition(top,complement(meet(one,X_1418)))))
| composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))) = complement(converse(composition(top,complement(meet(one,X_1418))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))),composition(complement(composition(top,complement(meet(one,X_1418)))),top)) )],[refute_0_6229,refute_0_6230]) ).
cnf(refute_0_6232,plain,
composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))) = complement(converse(composition(top,complement(meet(one,X_1418))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(meet(one,X_1418)))),top),complement(converse(composition(top,complement(meet(one,X_1418)))))) )],[refute_0_6192,refute_0_6231]) ).
cnf(refute_0_6233,plain,
complement(complement(meet(one,converse(X_1418)))) = meet(one,converse(X_1418)),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(meet(one,converse(X_1418))))]]) ).
cnf(refute_0_6234,plain,
( complement(complement(meet(one,converse(X_1418)))) != meet(one,converse(X_1418))
| complement(meet(one,converse(X_1418))) != complement(converse(meet(one,X_1418)))
| complement(complement(converse(meet(one,X_1418)))) = meet(one,converse(X_1418)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(meet(one,converse(X_1418)))),meet(one,converse(X_1418))) ),[0,0],$fot(complement(converse(meet(one,X_1418))))]]) ).
cnf(refute_0_6235,plain,
( complement(complement(meet(one,converse(X_1418)))) != meet(one,converse(X_1418))
| complement(complement(converse(meet(one,X_1418)))) = meet(one,converse(X_1418)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(X_1418))),complement(converse(meet(one,X_1418)))) )],[refute_0_3788,refute_0_6234]) ).
cnf(refute_0_6236,plain,
complement(complement(converse(meet(one,X_1418)))) = meet(one,converse(X_1418)),
inference(resolve,[$cnf( $equal(complement(complement(meet(one,converse(X_1418)))),meet(one,converse(X_1418))) )],[refute_0_6233,refute_0_6235]) ).
cnf(refute_0_6237,plain,
complement(complement(converse(meet(one,X_1418)))) = converse(meet(one,X_1418)),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(converse(meet(one,X_1418))))]]) ).
cnf(refute_0_6238,plain,
( complement(complement(converse(meet(one,X_1418)))) != converse(meet(one,X_1418))
| complement(complement(converse(meet(one,X_1418)))) != meet(one,converse(X_1418))
| converse(meet(one,X_1418)) = meet(one,converse(X_1418)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(meet(one,X_1418)))),meet(one,converse(X_1418))) ),[0],$fot(converse(meet(one,X_1418)))]]) ).
cnf(refute_0_6239,plain,
( complement(complement(converse(meet(one,X_1418)))) != meet(one,converse(X_1418))
| converse(meet(one,X_1418)) = meet(one,converse(X_1418)) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,X_1418)))),converse(meet(one,X_1418))) )],[refute_0_6237,refute_0_6238]) ).
cnf(refute_0_6240,plain,
converse(meet(one,X_1418)) = meet(one,converse(X_1418)),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,X_1418)))),meet(one,converse(X_1418))) )],[refute_0_6236,refute_0_6239]) ).
cnf(refute_0_6241,plain,
( converse(meet(one,X_1418)) != meet(one,converse(X_1418))
| meet(one,converse(X_1418)) = converse(meet(one,X_1418)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(meet(one,X_1418)))),bind(Y,$fot(meet(one,converse(X_1418))))]]) ).
cnf(refute_0_6242,plain,
meet(one,converse(X_1418)) = converse(meet(one,X_1418)),
inference(resolve,[$cnf( $equal(converse(meet(one,X_1418)),meet(one,converse(X_1418))) )],[refute_0_6240,refute_0_6241]) ).
cnf(refute_0_6243,plain,
composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))) = composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))]]) ).
cnf(refute_0_6244,plain,
( composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))) != composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))
| meet(one,converse(X_1418)) != converse(meet(one,X_1418))
| composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))) = composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))),composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) ),[1,1],$fot(converse(meet(one,X_1418)))]]) ).
cnf(refute_0_6245,plain,
( meet(one,converse(X_1418)) != converse(meet(one,X_1418))
| composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))) = composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))),composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) )],[refute_0_6243,refute_0_6244]) ).
cnf(refute_0_6246,plain,
composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))) = composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))),
inference(resolve,[$cnf( $equal(meet(one,converse(X_1418)),converse(meet(one,X_1418))) )],[refute_0_6242,refute_0_6245]) ).
cnf(refute_0_6247,plain,
( composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))) != complement(converse(composition(top,complement(meet(one,X_1418)))))
| composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))) != composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418)))
| composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))) = complement(converse(composition(top,complement(meet(one,X_1418))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))),bind(Y,$fot(composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))))),bind(Z,$fot(complement(converse(composition(top,complement(meet(one,X_1418)))))))]]) ).
cnf(refute_0_6248,plain,
( composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))) != complement(converse(composition(top,complement(meet(one,X_1418)))))
| composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))) = complement(converse(composition(top,complement(meet(one,X_1418))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))),composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418)))) )],[refute_0_6246,refute_0_6247]) ).
cnf(refute_0_6249,plain,
composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))) = complement(converse(composition(top,complement(meet(one,X_1418))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(meet(one,X_1418)))),converse(meet(one,X_1418))),complement(converse(composition(top,complement(meet(one,X_1418)))))) )],[refute_0_6232,refute_0_6248]) ).
cnf(refute_0_6250,plain,
converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) = converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))))]]) ).
cnf(refute_0_6251,plain,
( composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))) != complement(converse(composition(top,complement(meet(one,X_1418)))))
| converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) != converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))
| converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) = converse(complement(converse(composition(top,complement(meet(one,X_1418)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))),converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))) ),[1,0],$fot(complement(converse(composition(top,complement(meet(one,X_1418))))))]]) ).
cnf(refute_0_6252,plain,
( composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))) != complement(converse(composition(top,complement(meet(one,X_1418)))))
| converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) = converse(complement(converse(composition(top,complement(meet(one,X_1418)))))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))),converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))) )],[refute_0_6250,refute_0_6251]) ).
cnf(refute_0_6253,plain,
converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) = converse(complement(converse(composition(top,complement(meet(one,X_1418)))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))),complement(converse(composition(top,complement(meet(one,X_1418)))))) )],[refute_0_6249,refute_0_6252]) ).
cnf(refute_0_6254,plain,
( converse(complement(converse(composition(top,complement(meet(one,X_1418)))))) != complement(composition(top,complement(meet(one,X_1418))))
| converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) != converse(complement(converse(composition(top,complement(meet(one,X_1418))))))
| converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) = complement(composition(top,complement(meet(one,X_1418)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))))),bind(Y,$fot(converse(complement(converse(composition(top,complement(meet(one,X_1418)))))))),bind(Z,$fot(complement(composition(top,complement(meet(one,X_1418))))))]]) ).
cnf(refute_0_6255,plain,
( converse(complement(converse(composition(top,complement(meet(one,X_1418)))))) != complement(composition(top,complement(meet(one,X_1418))))
| converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) = complement(composition(top,complement(meet(one,X_1418)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))),converse(complement(converse(composition(top,complement(meet(one,X_1418))))))) )],[refute_0_6253,refute_0_6254]) ).
cnf(refute_0_6256,plain,
converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) = complement(composition(top,complement(meet(one,X_1418)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(meet(one,X_1418)))))),complement(composition(top,complement(meet(one,X_1418))))) )],[refute_0_6092,refute_0_6255]) ).
cnf(refute_0_6257,plain,
( complement(converse(composition(top,complement(meet(one,X_1418))))) != converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))
| converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))) != complement(composition(top,complement(meet(one,X_1418))))
| complement(converse(composition(top,complement(meet(one,X_1418))))) = complement(composition(top,complement(meet(one,X_1418)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(composition(top,complement(meet(one,X_1418))))),complement(composition(top,complement(meet(one,X_1418))))) ),[0],$fot(converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))))]]) ).
cnf(refute_0_6258,plain,
( complement(converse(composition(top,complement(meet(one,X_1418))))) != converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))
| complement(converse(composition(top,complement(meet(one,X_1418))))) = complement(composition(top,complement(meet(one,X_1418)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418)))),complement(composition(top,complement(meet(one,X_1418))))) )],[refute_0_6256,refute_0_6257]) ).
cnf(refute_0_6259,plain,
complement(converse(composition(top,complement(meet(one,X_1418))))) = complement(composition(top,complement(meet(one,X_1418)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(meet(one,X_1418))))),converse(composition(complement(composition(top,complement(meet(one,X_1418)))),meet(one,converse(X_1418))))) )],[refute_0_6083,refute_0_6258]) ).
cnf(refute_0_6260,plain,
complement(converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),
inference(subst,[],[refute_0_6259:[bind(X_1418,$fot(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))]]) ).
cnf(refute_0_6261,plain,
join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))) = complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),
inference(subst,[],[refute_0_356:[bind(A,$fot(one)),bind(B,$fot(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))]]) ).
cnf(refute_0_6262,plain,
composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) = composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),
introduced(tautology,[refl,[$fot(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))]]) ).
cnf(refute_0_6263,plain,
( composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) != composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))) != complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))
| composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),[1,1],$fot(complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))]]) ).
cnf(refute_0_6264,plain,
( join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))) != complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))
| composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) ),
inference(resolve,[$cnf( $equal(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) )],[refute_0_6262,refute_0_6263]) ).
cnf(refute_0_6265,plain,
composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) )],[refute_0_6261,refute_0_6264]) ).
cnf(refute_0_6266,plain,
converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),
introduced(tautology,[refl,[$fot(converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))]]) ).
cnf(refute_0_6267,plain,
( composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) != composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) ),[1,0],$fot(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))]]) ).
cnf(refute_0_6268,plain,
( composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) != composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) )],[refute_0_6266,refute_0_6267]) ).
cnf(refute_0_6269,plain,
converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),
inference(resolve,[$cnf( $equal(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) )],[refute_0_6265,refute_0_6268]) ).
cnf(refute_0_6270,plain,
converse(composition(X_1395,join(converse(converse(A)),X_1396))) = converse(join(composition(X_1395,converse(converse(A))),composition(X_1395,X_1396))),
inference(subst,[],[refute_0_1758:[bind(A,$fot(X_1395)),bind(B,$fot(X_1396)),bind(X_147,$fot(converse(A)))]]) ).
cnf(refute_0_6271,plain,
( converse(composition(X_1395,join(converse(converse(A)),X_1396))) != converse(join(composition(X_1395,converse(converse(A))),composition(X_1395,X_1396)))
| converse(converse(A)) != A
| converse(composition(X_1395,join(converse(converse(A)),X_1396))) = converse(join(composition(X_1395,A),composition(X_1395,X_1396))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_1395,join(converse(converse(A)),X_1396))),converse(join(composition(X_1395,converse(converse(A))),composition(X_1395,X_1396)))) ),[1,0,0,1],$fot(A)]]) ).
cnf(refute_0_6272,plain,
( converse(composition(X_1395,join(converse(converse(A)),X_1396))) != converse(join(composition(X_1395,converse(converse(A))),composition(X_1395,X_1396)))
| converse(composition(X_1395,join(converse(converse(A)),X_1396))) = converse(join(composition(X_1395,A),composition(X_1395,X_1396))) ),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_6271]) ).
cnf(refute_0_6273,plain,
converse(composition(X_1395,join(converse(converse(A)),X_1396))) = converse(join(composition(X_1395,A),composition(X_1395,X_1396))),
inference(resolve,[$cnf( $equal(converse(composition(X_1395,join(converse(converse(A)),X_1396))),converse(join(composition(X_1395,converse(converse(A))),composition(X_1395,X_1396)))) )],[refute_0_6270,refute_0_6272]) ).
cnf(refute_0_6274,plain,
join(converse(converse(A)),X_1396) = join(converse(converse(A)),X_1396),
introduced(tautology,[refl,[$fot(join(converse(converse(A)),X_1396))]]) ).
cnf(refute_0_6275,plain,
( converse(converse(A)) != A
| join(converse(converse(A)),X_1396) != join(converse(converse(A)),X_1396)
| join(converse(converse(A)),X_1396) = join(A,X_1396) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(A)),X_1396),join(converse(converse(A)),X_1396)) ),[1,0],$fot(A)]]) ).
cnf(refute_0_6276,plain,
( converse(converse(A)) != A
| join(converse(converse(A)),X_1396) = join(A,X_1396) ),
inference(resolve,[$cnf( $equal(join(converse(converse(A)),X_1396),join(converse(converse(A)),X_1396)) )],[refute_0_6274,refute_0_6275]) ).
cnf(refute_0_6277,plain,
join(converse(converse(A)),X_1396) = join(A,X_1396),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_6276]) ).
cnf(refute_0_6278,plain,
composition(X_1395,join(converse(converse(A)),X_1396)) = composition(X_1395,join(converse(converse(A)),X_1396)),
introduced(tautology,[refl,[$fot(composition(X_1395,join(converse(converse(A)),X_1396)))]]) ).
cnf(refute_0_6279,plain,
( composition(X_1395,join(converse(converse(A)),X_1396)) != composition(X_1395,join(converse(converse(A)),X_1396))
| join(converse(converse(A)),X_1396) != join(A,X_1396)
| composition(X_1395,join(converse(converse(A)),X_1396)) = composition(X_1395,join(A,X_1396)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_1395,join(converse(converse(A)),X_1396)),composition(X_1395,join(converse(converse(A)),X_1396))) ),[1,1],$fot(join(A,X_1396))]]) ).
cnf(refute_0_6280,plain,
( join(converse(converse(A)),X_1396) != join(A,X_1396)
| composition(X_1395,join(converse(converse(A)),X_1396)) = composition(X_1395,join(A,X_1396)) ),
inference(resolve,[$cnf( $equal(composition(X_1395,join(converse(converse(A)),X_1396)),composition(X_1395,join(converse(converse(A)),X_1396))) )],[refute_0_6278,refute_0_6279]) ).
cnf(refute_0_6281,plain,
composition(X_1395,join(converse(converse(A)),X_1396)) = composition(X_1395,join(A,X_1396)),
inference(resolve,[$cnf( $equal(join(converse(converse(A)),X_1396),join(A,X_1396)) )],[refute_0_6277,refute_0_6280]) ).
cnf(refute_0_6282,plain,
converse(composition(X_1395,join(converse(converse(A)),X_1396))) = converse(composition(X_1395,join(converse(converse(A)),X_1396))),
introduced(tautology,[refl,[$fot(converse(composition(X_1395,join(converse(converse(A)),X_1396))))]]) ).
cnf(refute_0_6283,plain,
( composition(X_1395,join(converse(converse(A)),X_1396)) != composition(X_1395,join(A,X_1396))
| converse(composition(X_1395,join(converse(converse(A)),X_1396))) != converse(composition(X_1395,join(converse(converse(A)),X_1396)))
| converse(composition(X_1395,join(converse(converse(A)),X_1396))) = converse(composition(X_1395,join(A,X_1396))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_1395,join(converse(converse(A)),X_1396))),converse(composition(X_1395,join(converse(converse(A)),X_1396)))) ),[1,0],$fot(composition(X_1395,join(A,X_1396)))]]) ).
cnf(refute_0_6284,plain,
( composition(X_1395,join(converse(converse(A)),X_1396)) != composition(X_1395,join(A,X_1396))
| converse(composition(X_1395,join(converse(converse(A)),X_1396))) = converse(composition(X_1395,join(A,X_1396))) ),
inference(resolve,[$cnf( $equal(converse(composition(X_1395,join(converse(converse(A)),X_1396))),converse(composition(X_1395,join(converse(converse(A)),X_1396)))) )],[refute_0_6282,refute_0_6283]) ).
cnf(refute_0_6285,plain,
converse(composition(X_1395,join(converse(converse(A)),X_1396))) = converse(composition(X_1395,join(A,X_1396))),
inference(resolve,[$cnf( $equal(composition(X_1395,join(converse(converse(A)),X_1396)),composition(X_1395,join(A,X_1396))) )],[refute_0_6281,refute_0_6284]) ).
cnf(refute_0_6286,plain,
( converse(composition(X_1395,join(converse(converse(A)),X_1396))) != converse(composition(X_1395,join(A,X_1396)))
| converse(composition(X_1395,join(converse(converse(A)),X_1396))) != converse(join(composition(X_1395,A),composition(X_1395,X_1396)))
| converse(composition(X_1395,join(A,X_1396))) = converse(join(composition(X_1395,A),composition(X_1395,X_1396))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_1395,join(converse(converse(A)),X_1396))),converse(join(composition(X_1395,A),composition(X_1395,X_1396)))) ),[0],$fot(converse(composition(X_1395,join(A,X_1396))))]]) ).
cnf(refute_0_6287,plain,
( converse(composition(X_1395,join(converse(converse(A)),X_1396))) != converse(join(composition(X_1395,A),composition(X_1395,X_1396)))
| converse(composition(X_1395,join(A,X_1396))) = converse(join(composition(X_1395,A),composition(X_1395,X_1396))) ),
inference(resolve,[$cnf( $equal(converse(composition(X_1395,join(converse(converse(A)),X_1396))),converse(composition(X_1395,join(A,X_1396)))) )],[refute_0_6285,refute_0_6286]) ).
cnf(refute_0_6288,plain,
converse(composition(X_1395,join(A,X_1396))) = converse(join(composition(X_1395,A),composition(X_1395,X_1396))),
inference(resolve,[$cnf( $equal(converse(composition(X_1395,join(converse(converse(A)),X_1396))),converse(join(composition(X_1395,A),composition(X_1395,X_1396)))) )],[refute_0_6273,refute_0_6287]) ).
cnf(refute_0_6289,plain,
( converse(composition(X_1395,join(A,X_1396))) != converse(join(composition(X_1395,A),composition(X_1395,X_1396)))
| converse(join(composition(X_1395,A),composition(X_1395,X_1396))) = converse(composition(X_1395,join(A,X_1396))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(converse(composition(X_1395,join(A,X_1396))))),bind(Y,$fot(converse(join(composition(X_1395,A),composition(X_1395,X_1396)))))]]) ).
cnf(refute_0_6290,plain,
converse(join(composition(X_1395,A),composition(X_1395,X_1396))) = converse(composition(X_1395,join(A,X_1396))),
inference(resolve,[$cnf( $equal(converse(composition(X_1395,join(A,X_1396))),converse(join(composition(X_1395,A),composition(X_1395,X_1396)))) )],[refute_0_6288,refute_0_6289]) ).
cnf(refute_0_6291,plain,
converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),
inference(subst,[],[refute_0_6290:[bind(A,$fot(complement(one))),bind(X_1395,$fot(top)),bind(X_1396,$fot(complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))]]) ).
cnf(refute_0_6292,plain,
( converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))),bind(Y,$fot(converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))),bind(Z,$fot(converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))]]) ).
cnf(refute_0_6293,plain,
( converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) )],[refute_0_6291,refute_0_6292]) ).
cnf(refute_0_6294,plain,
converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),
inference(resolve,[$cnf( $equal(converse(composition(top,join(complement(one),complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) )],[refute_0_6269,refute_0_6293]) ).
cnf(refute_0_6295,plain,
complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),
introduced(tautology,[refl,[$fot(complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))]]) ).
cnf(refute_0_6296,plain,
( complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))
| converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = complement(converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))) ),[1,0],$fot(converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))]]) ).
cnf(refute_0_6297,plain,
( converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = complement(converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))) )],[refute_0_6295,refute_0_6296]) ).
cnf(refute_0_6298,plain,
complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = complement(converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),
inference(resolve,[$cnf( $equal(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) )],[refute_0_6294,refute_0_6297]) ).
cnf(refute_0_6299,plain,
( complement(converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != complement(converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))
| complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))),bind(Y,$fot(complement(converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))),bind(Z,$fot(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))]]) ).
cnf(refute_0_6300,plain,
( complement(converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),complement(converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))) )],[refute_0_6298,refute_0_6299]) ).
cnf(refute_0_6301,plain,
complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) )],[refute_0_6260,refute_0_6300]) ).
cnf(refute_0_6302,plain,
( complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) != complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))
| complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) = complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))))),bind(Y,$fot(complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))),bind(Z,$fot(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))]]) ).
cnf(refute_0_6303,plain,
( complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) = complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))),complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))) )],[refute_0_3384,refute_0_6302]) ).
cnf(refute_0_6304,plain,
complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) = complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),
inference(resolve,[$cnf( $equal(complement(converse(join(composition(top,complement(one)),composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) )],[refute_0_6301,refute_0_6303]) ).
cnf(refute_0_6305,plain,
( complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) != complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) != complement(converse(top))
| complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))),complement(converse(top))) ),[0],$fot(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))]]) ).
cnf(refute_0_6306,plain,
( complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) != complement(converse(top))
| complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))),complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) )],[refute_0_6304,refute_0_6305]) ).
cnf(refute_0_6307,plain,
( complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != complement(converse(top))
| complement(converse(top)) != zero
| complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),zero) ),[0],$fot(complement(converse(top)))]]) ).
cnf(refute_0_6308,plain,
( complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != complement(converse(top))
| complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2129,refute_0_6307]) ).
cnf(refute_0_6309,plain,
( complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))) != complement(converse(top))
| complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = zero ),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),complement(converse(top))) )],[refute_0_6306,refute_0_6308]) ).
cnf(refute_0_6310,plain,
complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = zero,
inference(resolve,[$cnf( $equal(complement(converse(join(composition(top,complement(composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))),composition(top,complement(one))))),complement(converse(top))) )],[refute_0_3713,refute_0_6309]) ).
cnf(refute_0_6311,plain,
( complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != zero
| join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),X_95),X_121)) != join(X_95,X_121)
| join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)) = join(X_95,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),X_95),X_121)),join(X_95,X_121)) ),[0,1,0,0],$fot(zero)]]) ).
cnf(refute_0_6312,plain,
( join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),X_95),X_121)) != join(X_95,X_121)
| join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)) = join(X_95,X_121) ),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),zero) )],[refute_0_6310,refute_0_6311]) ).
cnf(refute_0_6313,plain,
join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)) = join(X_95,X_121),
inference(resolve,[$cnf( $equal(join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),X_95),X_121)),join(X_95,X_121)) )],[refute_0_3376,refute_0_6312]) ).
cnf(refute_0_6314,plain,
join(zero,join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) = join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))))]]) ).
cnf(refute_0_6315,plain,
meet(zero,X_95) = zero,
inference(subst,[],[refute_0_1127:[bind(X_63,$fot(X_95))]]) ).
cnf(refute_0_6316,plain,
join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) = join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))),
introduced(tautology,[refl,[$fot(join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))))]]) ).
cnf(refute_0_6317,plain,
( join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) != join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)))
| meet(zero,X_95) != zero
| join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) = join(zero,join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))),join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6318,plain,
( meet(zero,X_95) != zero
| join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) = join(zero,join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))),join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)))) )],[refute_0_6316,refute_0_6317]) ).
cnf(refute_0_6319,plain,
join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) = join(zero,join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))),
inference(resolve,[$cnf( $equal(meet(zero,X_95),zero) )],[refute_0_6315,refute_0_6318]) ).
cnf(refute_0_6320,plain,
( join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) != join(zero,join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)))
| join(zero,join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) != join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))
| join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) = join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))))),bind(Y,$fot(join(zero,join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))))),bind(Z,$fot(join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))))]]) ).
cnf(refute_0_6321,plain,
( join(zero,join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) != join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))
| join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) = join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))),join(zero,join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)))) )],[refute_0_6319,refute_0_6320]) ).
cnf(refute_0_6322,plain,
join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) = join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)),
inference(resolve,[$cnf( $equal(join(zero,join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) )],[refute_0_6314,refute_0_6321]) ).
cnf(refute_0_6323,plain,
converse(join(converse(A),join(converse(B),converse(X_1571)))) = join(converse(join(converse(A),converse(B))),X_1571),
inference(subst,[],[refute_0_1279:[bind(A,$fot(X_1571)),bind(X_119,$fot(converse(A))),bind(X_120,$fot(converse(B)))]]) ).
cnf(refute_0_6324,plain,
( converse(join(converse(A),join(converse(B),converse(X_1571)))) != join(converse(join(converse(A),converse(B))),X_1571)
| join(converse(A),converse(B)) != converse(join(A,B))
| converse(join(converse(A),join(converse(B),converse(X_1571)))) = join(converse(converse(join(A,B))),X_1571) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(converse(B),converse(X_1571)))),join(converse(join(converse(A),converse(B))),X_1571)) ),[1,0,0],$fot(converse(join(A,B)))]]) ).
cnf(refute_0_6325,plain,
( converse(join(converse(A),join(converse(B),converse(X_1571)))) != join(converse(join(converse(A),converse(B))),X_1571)
| converse(join(converse(A),join(converse(B),converse(X_1571)))) = join(converse(converse(join(A,B))),X_1571) ),
inference(resolve,[$cnf( $equal(join(converse(A),converse(B)),converse(join(A,B))) )],[refute_0_682,refute_0_6324]) ).
cnf(refute_0_6326,plain,
converse(join(converse(A),join(converse(B),converse(X_1571)))) = join(converse(converse(join(A,B))),X_1571),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(converse(B),converse(X_1571)))),join(converse(join(converse(A),converse(B))),X_1571)) )],[refute_0_6323,refute_0_6325]) ).
cnf(refute_0_6327,plain,
join(X_1571,converse(converse(A))) = join(X_1571,converse(converse(A))),
introduced(tautology,[refl,[$fot(join(X_1571,converse(converse(A))))]]) ).
cnf(refute_0_6328,plain,
( converse(converse(A)) != A
| join(X_1571,converse(converse(A))) != join(X_1571,converse(converse(A)))
| join(X_1571,converse(converse(A))) = join(X_1571,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_1571,converse(converse(A))),join(X_1571,converse(converse(A)))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_6329,plain,
( converse(converse(A)) != A
| join(X_1571,converse(converse(A))) = join(X_1571,A) ),
inference(resolve,[$cnf( $equal(join(X_1571,converse(converse(A))),join(X_1571,converse(converse(A)))) )],[refute_0_6327,refute_0_6328]) ).
cnf(refute_0_6330,plain,
join(X_1571,converse(converse(A))) = join(X_1571,A),
inference(resolve,[$cnf( $equal(converse(converse(A)),A) )],[converse_idempotence_8,refute_0_6329]) ).
cnf(refute_0_6331,plain,
converse(join(converse(X_1571),converse(A))) = join(X_1571,converse(converse(A))),
inference(subst,[],[refute_0_93:[bind(A,$fot(X_1571)),bind(X_5,$fot(converse(A)))]]) ).
cnf(refute_0_6332,plain,
( converse(join(converse(X_1571),converse(A))) != join(X_1571,converse(converse(A)))
| join(X_1571,converse(converse(A))) != join(X_1571,A)
| converse(join(converse(X_1571),converse(A))) = join(X_1571,A) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(converse(X_1571),converse(A))))),bind(Y,$fot(join(X_1571,converse(converse(A))))),bind(Z,$fot(join(X_1571,A)))]]) ).
cnf(refute_0_6333,plain,
( join(X_1571,converse(converse(A))) != join(X_1571,A)
| converse(join(converse(X_1571),converse(A))) = join(X_1571,A) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_1571),converse(A))),join(X_1571,converse(converse(A)))) )],[refute_0_6331,refute_0_6332]) ).
cnf(refute_0_6334,plain,
converse(join(converse(X_1571),converse(A))) = join(X_1571,A),
inference(resolve,[$cnf( $equal(join(X_1571,converse(converse(A))),join(X_1571,A)) )],[refute_0_6330,refute_0_6333]) ).
cnf(refute_0_6335,plain,
join(B,converse(join(converse(X_1571),converse(A)))) = join(B,converse(join(converse(X_1571),converse(A)))),
introduced(tautology,[refl,[$fot(join(B,converse(join(converse(X_1571),converse(A)))))]]) ).
cnf(refute_0_6336,plain,
( converse(join(converse(X_1571),converse(A))) != join(X_1571,A)
| join(B,converse(join(converse(X_1571),converse(A)))) != join(B,converse(join(converse(X_1571),converse(A))))
| join(B,converse(join(converse(X_1571),converse(A)))) = join(B,join(X_1571,A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(B,converse(join(converse(X_1571),converse(A)))),join(B,converse(join(converse(X_1571),converse(A))))) ),[1,1],$fot(join(X_1571,A))]]) ).
cnf(refute_0_6337,plain,
( converse(join(converse(X_1571),converse(A))) != join(X_1571,A)
| join(B,converse(join(converse(X_1571),converse(A)))) = join(B,join(X_1571,A)) ),
inference(resolve,[$cnf( $equal(join(B,converse(join(converse(X_1571),converse(A)))),join(B,converse(join(converse(X_1571),converse(A))))) )],[refute_0_6335,refute_0_6336]) ).
cnf(refute_0_6338,plain,
join(B,converse(join(converse(X_1571),converse(A)))) = join(B,join(X_1571,A)),
inference(resolve,[$cnf( $equal(converse(join(converse(X_1571),converse(A))),join(X_1571,A)) )],[refute_0_6334,refute_0_6337]) ).
cnf(refute_0_6339,plain,
converse(join(converse(A),join(converse(B),converse(X_1571)))) = join(B,converse(join(converse(X_1571),converse(A)))),
inference(subst,[],[refute_0_1552:[bind(X_141,$fot(converse(A))),bind(X_142,$fot(converse(X_1571))),bind(X_143,$fot(B))]]) ).
cnf(refute_0_6340,plain,
( converse(join(converse(A),join(converse(B),converse(X_1571)))) != join(B,converse(join(converse(X_1571),converse(A))))
| join(B,converse(join(converse(X_1571),converse(A)))) != join(B,join(X_1571,A))
| converse(join(converse(A),join(converse(B),converse(X_1571)))) = join(B,join(X_1571,A)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(join(converse(A),join(converse(B),converse(X_1571)))))),bind(Y,$fot(join(B,converse(join(converse(X_1571),converse(A)))))),bind(Z,$fot(join(B,join(X_1571,A))))]]) ).
cnf(refute_0_6341,plain,
( join(B,converse(join(converse(X_1571),converse(A)))) != join(B,join(X_1571,A))
| converse(join(converse(A),join(converse(B),converse(X_1571)))) = join(B,join(X_1571,A)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(converse(B),converse(X_1571)))),join(B,converse(join(converse(X_1571),converse(A))))) )],[refute_0_6339,refute_0_6340]) ).
cnf(refute_0_6342,plain,
converse(join(converse(A),join(converse(B),converse(X_1571)))) = join(B,join(X_1571,A)),
inference(resolve,[$cnf( $equal(join(B,converse(join(converse(X_1571),converse(A)))),join(B,join(X_1571,A))) )],[refute_0_6338,refute_0_6341]) ).
cnf(refute_0_6343,plain,
( converse(join(converse(A),join(converse(B),converse(X_1571)))) != join(B,join(X_1571,A))
| converse(join(converse(A),join(converse(B),converse(X_1571)))) != join(converse(converse(join(A,B))),X_1571)
| join(B,join(X_1571,A)) = join(converse(converse(join(A,B))),X_1571) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(A),join(converse(B),converse(X_1571)))),join(converse(converse(join(A,B))),X_1571)) ),[0],$fot(join(B,join(X_1571,A)))]]) ).
cnf(refute_0_6344,plain,
( converse(join(converse(A),join(converse(B),converse(X_1571)))) != join(converse(converse(join(A,B))),X_1571)
| join(B,join(X_1571,A)) = join(converse(converse(join(A,B))),X_1571) ),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(converse(B),converse(X_1571)))),join(B,join(X_1571,A))) )],[refute_0_6342,refute_0_6343]) ).
cnf(refute_0_6345,plain,
join(join(A,B),X_1571) = join(A,join(B,X_1571)),
inference(subst,[],[refute_0_147:[bind(C,$fot(X_1571))]]) ).
cnf(refute_0_6346,plain,
join(converse(converse(join(A,B))),X_1571) = join(converse(converse(join(A,B))),X_1571),
introduced(tautology,[refl,[$fot(join(converse(converse(join(A,B))),X_1571))]]) ).
cnf(refute_0_6347,plain,
( converse(converse(join(A,B))) != join(A,B)
| join(converse(converse(join(A,B))),X_1571) != join(converse(converse(join(A,B))),X_1571)
| join(converse(converse(join(A,B))),X_1571) = join(join(A,B),X_1571) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(join(A,B))),X_1571),join(converse(converse(join(A,B))),X_1571)) ),[1,0],$fot(join(A,B))]]) ).
cnf(refute_0_6348,plain,
( converse(converse(join(A,B))) != join(A,B)
| join(converse(converse(join(A,B))),X_1571) = join(join(A,B),X_1571) ),
inference(resolve,[$cnf( $equal(join(converse(converse(join(A,B))),X_1571),join(converse(converse(join(A,B))),X_1571)) )],[refute_0_6346,refute_0_6347]) ).
cnf(refute_0_6349,plain,
join(converse(converse(join(A,B))),X_1571) = join(join(A,B),X_1571),
inference(resolve,[$cnf( $equal(converse(converse(join(A,B))),join(A,B)) )],[refute_0_4493,refute_0_6348]) ).
cnf(refute_0_6350,plain,
( join(converse(converse(join(A,B))),X_1571) != join(join(A,B),X_1571)
| join(join(A,B),X_1571) != join(A,join(B,X_1571))
| join(converse(converse(join(A,B))),X_1571) = join(A,join(B,X_1571)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(converse(converse(join(A,B))),X_1571))),bind(Y,$fot(join(join(A,B),X_1571))),bind(Z,$fot(join(A,join(B,X_1571))))]]) ).
cnf(refute_0_6351,plain,
( join(join(A,B),X_1571) != join(A,join(B,X_1571))
| join(converse(converse(join(A,B))),X_1571) = join(A,join(B,X_1571)) ),
inference(resolve,[$cnf( $equal(join(converse(converse(join(A,B))),X_1571),join(join(A,B),X_1571)) )],[refute_0_6349,refute_0_6350]) ).
cnf(refute_0_6352,plain,
join(converse(converse(join(A,B))),X_1571) = join(A,join(B,X_1571)),
inference(resolve,[$cnf( $equal(join(join(A,B),X_1571),join(A,join(B,X_1571))) )],[refute_0_6345,refute_0_6351]) ).
cnf(refute_0_6353,plain,
( join(B,join(X_1571,A)) != join(converse(converse(join(A,B))),X_1571)
| join(converse(converse(join(A,B))),X_1571) != join(A,join(B,X_1571))
| join(B,join(X_1571,A)) = join(A,join(B,X_1571)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(B,join(X_1571,A)),join(A,join(B,X_1571))) ),[0],$fot(join(converse(converse(join(A,B))),X_1571))]]) ).
cnf(refute_0_6354,plain,
( join(B,join(X_1571,A)) != join(converse(converse(join(A,B))),X_1571)
| join(B,join(X_1571,A)) = join(A,join(B,X_1571)) ),
inference(resolve,[$cnf( $equal(join(converse(converse(join(A,B))),X_1571),join(A,join(B,X_1571))) )],[refute_0_6352,refute_0_6353]) ).
cnf(refute_0_6355,plain,
( converse(join(converse(A),join(converse(B),converse(X_1571)))) != join(converse(converse(join(A,B))),X_1571)
| join(B,join(X_1571,A)) = join(A,join(B,X_1571)) ),
inference(resolve,[$cnf( $equal(join(B,join(X_1571,A)),join(converse(converse(join(A,B))),X_1571)) )],[refute_0_6344,refute_0_6354]) ).
cnf(refute_0_6356,plain,
join(B,join(X_1571,A)) = join(A,join(B,X_1571)),
inference(resolve,[$cnf( $equal(converse(join(converse(A),join(converse(B),converse(X_1571)))),join(converse(converse(join(A,B))),X_1571)) )],[refute_0_6326,refute_0_6355]) ).
cnf(refute_0_6357,plain,
( join(B,join(X_1571,A)) != join(A,join(B,X_1571))
| join(A,join(B,X_1571)) = join(B,join(X_1571,A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(B,join(X_1571,A)))),bind(Y,$fot(join(A,join(B,X_1571))))]]) ).
cnf(refute_0_6358,plain,
join(A,join(B,X_1571)) = join(B,join(X_1571,A)),
inference(resolve,[$cnf( $equal(join(B,join(X_1571,A)),join(A,join(B,X_1571))) )],[refute_0_6356,refute_0_6357]) ).
cnf(refute_0_6359,plain,
join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)) = join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))),
inference(subst,[],[refute_0_6358:[bind(A,$fot(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))),bind(B,$fot(meet(zero,X_95))),bind(X_1571,$fot(X_121))]]) ).
cnf(refute_0_6360,plain,
( join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)) != join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)))
| join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) != join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))
| join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)) = join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)))),bind(Y,$fot(join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))))),bind(Z,$fot(join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))))]]) ).
cnf(refute_0_6361,plain,
( join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) != join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))
| join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)) = join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)),join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)))) )],[refute_0_6359,refute_0_6360]) ).
cnf(refute_0_6362,plain,
join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)) = join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)),
inference(resolve,[$cnf( $equal(join(meet(zero,X_95),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) )],[refute_0_6322,refute_0_6361]) ).
cnf(refute_0_6363,plain,
( join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)) != join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))
| join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)) != join(X_95,X_121)
| join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) = join(X_95,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)),join(X_95,X_121)) ),[0],$fot(join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)))]]) ).
cnf(refute_0_6364,plain,
( join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)) != join(X_95,X_121)
| join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) = join(X_95,X_121) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) )],[refute_0_6362,refute_0_6363]) ).
cnf(refute_0_6365,plain,
join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) = join(X_95,X_121),
inference(resolve,[$cnf( $equal(join(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),join(meet(zero,X_95),X_121)),join(X_95,X_121)) )],[refute_0_6313,refute_0_6364]) ).
cnf(refute_0_6366,plain,
meet(top,X_95) = X_95,
inference(subst,[],[refute_0_940:[bind(X_69,$fot(X_95))]]) ).
cnf(refute_0_6367,plain,
join(composition(X_147,X_149),join(composition(X_148,X_149),C)) = join(join(composition(X_147,X_149),composition(X_148,X_149)),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(composition(X_147,X_149))),bind(B,$fot(composition(X_148,X_149)))]]) ).
cnf(refute_0_6368,plain,
( join(composition(X_147,X_149),composition(X_148,X_149)) != composition(join(X_147,X_148),X_149)
| join(composition(X_147,X_149),join(composition(X_148,X_149),C)) != join(join(composition(X_147,X_149),composition(X_148,X_149)),C)
| join(composition(X_147,X_149),join(composition(X_148,X_149),C)) = join(composition(join(X_147,X_148),X_149),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_147,X_149),join(composition(X_148,X_149),C)),join(join(composition(X_147,X_149),composition(X_148,X_149)),C)) ),[1,0],$fot(composition(join(X_147,X_148),X_149))]]) ).
cnf(refute_0_6369,plain,
( join(composition(X_147,X_149),join(composition(X_148,X_149),C)) != join(join(composition(X_147,X_149),composition(X_148,X_149)),C)
| join(composition(X_147,X_149),join(composition(X_148,X_149),C)) = join(composition(join(X_147,X_148),X_149),C) ),
inference(resolve,[$cnf( $equal(join(composition(X_147,X_149),composition(X_148,X_149)),composition(join(X_147,X_148),X_149)) )],[refute_0_4567,refute_0_6368]) ).
cnf(refute_0_6370,plain,
join(composition(X_147,X_149),join(composition(X_148,X_149),C)) = join(composition(join(X_147,X_148),X_149),C),
inference(resolve,[$cnf( $equal(join(composition(X_147,X_149),join(composition(X_148,X_149),C)),join(join(composition(X_147,X_149),composition(X_148,X_149)),C)) )],[refute_0_6367,refute_0_6369]) ).
cnf(refute_0_6371,plain,
join(composition(X_1385,top),join(composition(X_1386,top),complement(composition(X_1386,composition(top,X_1386))))) = join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386)))),
inference(subst,[],[refute_0_6370:[bind(C,$fot(complement(composition(X_1386,composition(top,X_1386))))),bind(X_147,$fot(X_1385)),bind(X_148,$fot(X_1386)),bind(X_149,$fot(top))]]) ).
cnf(refute_0_6372,plain,
complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) = complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038)))),
inference(subst,[],[refute_0_5748:[bind(X_764,$fot(composition(X_1038,composition(top,X_1038)))),bind(X_765,$fot(complement(composition(X_1038,top))))]]) ).
cnf(refute_0_6373,plain,
meet(X_614,complement(composition(complement(complement(X_614)),top))) = complement(join(complement(X_614),composition(complement(complement(X_614)),top))),
inference(subst,[],[refute_0_1834:[bind(X_361,$fot(X_614)),bind(X_363,$fot(composition(complement(complement(X_614)),top)))]]) ).
cnf(refute_0_6374,plain,
top = join(complement(X_614),composition(complement(complement(X_614)),top)),
inference(subst,[],[refute_0_3239:[bind(A,$fot(complement(X_614)))]]) ).
cnf(refute_0_6375,plain,
( top != join(complement(X_614),composition(complement(complement(X_614)),top))
| join(complement(X_614),composition(complement(complement(X_614)),top)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_614),composition(complement(complement(X_614)),top))))]]) ).
cnf(refute_0_6376,plain,
join(complement(X_614),composition(complement(complement(X_614)),top)) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_614),composition(complement(complement(X_614)),top))) )],[refute_0_6374,refute_0_6375]) ).
cnf(refute_0_6377,plain,
( join(complement(X_614),composition(complement(complement(X_614)),top)) != top
| meet(X_614,complement(composition(complement(complement(X_614)),top))) != complement(join(complement(X_614),composition(complement(complement(X_614)),top)))
| meet(X_614,complement(composition(complement(complement(X_614)),top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_614,complement(composition(complement(complement(X_614)),top))),complement(join(complement(X_614),composition(complement(complement(X_614)),top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6378,plain,
( meet(X_614,complement(composition(complement(complement(X_614)),top))) != complement(join(complement(X_614),composition(complement(complement(X_614)),top)))
| meet(X_614,complement(composition(complement(complement(X_614)),top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_614),composition(complement(complement(X_614)),top)),top) )],[refute_0_6376,refute_0_6377]) ).
cnf(refute_0_6379,plain,
meet(X_614,complement(composition(complement(complement(X_614)),top))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_614,complement(composition(complement(complement(X_614)),top))),complement(join(complement(X_614),composition(complement(complement(X_614)),top)))) )],[refute_0_6373,refute_0_6378]) ).
cnf(refute_0_6380,plain,
complement(complement(X_614)) = X_614,
inference(subst,[],[refute_0_931:[bind(X_25,$fot(X_614))]]) ).
cnf(refute_0_6381,plain,
composition(complement(complement(X_614)),top) = composition(complement(complement(X_614)),top),
introduced(tautology,[refl,[$fot(composition(complement(complement(X_614)),top))]]) ).
cnf(refute_0_6382,plain,
( complement(complement(X_614)) != X_614
| composition(complement(complement(X_614)),top) != composition(complement(complement(X_614)),top)
| composition(complement(complement(X_614)),top) = composition(X_614,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(X_614)),top),composition(complement(complement(X_614)),top)) ),[1,0],$fot(X_614)]]) ).
cnf(refute_0_6383,plain,
( complement(complement(X_614)) != X_614
| composition(complement(complement(X_614)),top) = composition(X_614,top) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(X_614)),top),composition(complement(complement(X_614)),top)) )],[refute_0_6381,refute_0_6382]) ).
cnf(refute_0_6384,plain,
composition(complement(complement(X_614)),top) = composition(X_614,top),
inference(resolve,[$cnf( $equal(complement(complement(X_614)),X_614) )],[refute_0_6380,refute_0_6383]) ).
cnf(refute_0_6385,plain,
complement(composition(complement(complement(X_614)),top)) = complement(composition(complement(complement(X_614)),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(complement(X_614)),top)))]]) ).
cnf(refute_0_6386,plain,
( complement(composition(complement(complement(X_614)),top)) != complement(composition(complement(complement(X_614)),top))
| composition(complement(complement(X_614)),top) != composition(X_614,top)
| complement(composition(complement(complement(X_614)),top)) = complement(composition(X_614,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(complement(X_614)),top)),complement(composition(complement(complement(X_614)),top))) ),[1,0],$fot(composition(X_614,top))]]) ).
cnf(refute_0_6387,plain,
( composition(complement(complement(X_614)),top) != composition(X_614,top)
| complement(composition(complement(complement(X_614)),top)) = complement(composition(X_614,top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(complement(X_614)),top)),complement(composition(complement(complement(X_614)),top))) )],[refute_0_6385,refute_0_6386]) ).
cnf(refute_0_6388,plain,
complement(composition(complement(complement(X_614)),top)) = complement(composition(X_614,top)),
inference(resolve,[$cnf( $equal(composition(complement(complement(X_614)),top),composition(X_614,top)) )],[refute_0_6384,refute_0_6387]) ).
cnf(refute_0_6389,plain,
meet(X_614,complement(composition(complement(complement(X_614)),top))) = meet(X_614,complement(composition(complement(complement(X_614)),top))),
introduced(tautology,[refl,[$fot(meet(X_614,complement(composition(complement(complement(X_614)),top))))]]) ).
cnf(refute_0_6390,plain,
( complement(composition(complement(complement(X_614)),top)) != complement(composition(X_614,top))
| meet(X_614,complement(composition(complement(complement(X_614)),top))) != meet(X_614,complement(composition(complement(complement(X_614)),top)))
| meet(X_614,complement(composition(complement(complement(X_614)),top))) = meet(X_614,complement(composition(X_614,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_614,complement(composition(complement(complement(X_614)),top))),meet(X_614,complement(composition(complement(complement(X_614)),top)))) ),[1,1],$fot(complement(composition(X_614,top)))]]) ).
cnf(refute_0_6391,plain,
( complement(composition(complement(complement(X_614)),top)) != complement(composition(X_614,top))
| meet(X_614,complement(composition(complement(complement(X_614)),top))) = meet(X_614,complement(composition(X_614,top))) ),
inference(resolve,[$cnf( $equal(meet(X_614,complement(composition(complement(complement(X_614)),top))),meet(X_614,complement(composition(complement(complement(X_614)),top)))) )],[refute_0_6389,refute_0_6390]) ).
cnf(refute_0_6392,plain,
meet(X_614,complement(composition(complement(complement(X_614)),top))) = meet(X_614,complement(composition(X_614,top))),
inference(resolve,[$cnf( $equal(complement(composition(complement(complement(X_614)),top)),complement(composition(X_614,top))) )],[refute_0_6388,refute_0_6391]) ).
cnf(refute_0_6393,plain,
( meet(X_614,complement(composition(complement(complement(X_614)),top))) != complement(top)
| meet(X_614,complement(composition(complement(complement(X_614)),top))) != meet(X_614,complement(composition(X_614,top)))
| meet(X_614,complement(composition(X_614,top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_614,complement(composition(complement(complement(X_614)),top))),complement(top)) ),[0],$fot(meet(X_614,complement(composition(X_614,top))))]]) ).
cnf(refute_0_6394,plain,
( meet(X_614,complement(composition(complement(complement(X_614)),top))) != complement(top)
| meet(X_614,complement(composition(X_614,top))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_614,complement(composition(complement(complement(X_614)),top))),meet(X_614,complement(composition(X_614,top)))) )],[refute_0_6392,refute_0_6393]) ).
cnf(refute_0_6395,plain,
( complement(top) != zero
| meet(X_614,complement(composition(X_614,top))) != complement(top)
| meet(X_614,complement(composition(X_614,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_614,complement(composition(X_614,top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_6396,plain,
( meet(X_614,complement(composition(X_614,top))) != complement(top)
| meet(X_614,complement(composition(X_614,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_6395]) ).
cnf(refute_0_6397,plain,
( meet(X_614,complement(composition(complement(complement(X_614)),top))) != complement(top)
| meet(X_614,complement(composition(X_614,top))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_614,complement(composition(X_614,top))),complement(top)) )],[refute_0_6394,refute_0_6396]) ).
cnf(refute_0_6398,plain,
meet(X_614,complement(composition(X_614,top))) = zero,
inference(resolve,[$cnf( $equal(meet(X_614,complement(composition(complement(complement(X_614)),top))),complement(top)) )],[refute_0_6379,refute_0_6397]) ).
cnf(refute_0_6399,plain,
meet(converse(X_35),complement(composition(converse(X_35),top))) = zero,
inference(subst,[],[refute_0_6398:[bind(X_614,$fot(converse(X_35)))]]) ).
cnf(refute_0_6400,plain,
( composition(converse(X_35),top) != converse(composition(top,X_35))
| meet(converse(X_35),complement(composition(converse(X_35),top))) != zero
| meet(converse(X_35),complement(converse(composition(top,X_35)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_35),complement(composition(converse(X_35),top))),zero) ),[0,1,0],$fot(converse(composition(top,X_35)))]]) ).
cnf(refute_0_6401,plain,
( meet(converse(X_35),complement(composition(converse(X_35),top))) != zero
| meet(converse(X_35),complement(converse(composition(top,X_35)))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(X_35),top),converse(composition(top,X_35))) )],[refute_0_2377,refute_0_6400]) ).
cnf(refute_0_6402,plain,
meet(converse(X_35),complement(converse(composition(top,X_35)))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(X_35),complement(composition(converse(X_35),top))),zero) )],[refute_0_6399,refute_0_6401]) ).
cnf(refute_0_6403,plain,
meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,composition(X_1005,composition(top,X_1005)))))) = zero,
inference(subst,[],[refute_0_6402:[bind(X_35,$fot(composition(X_1005,composition(top,X_1005))))]]) ).
cnf(refute_0_6404,plain,
composition(join(converse(complement(composition(X_149,top))),X_148),X_149) = join(composition(converse(complement(composition(X_149,top))),X_149),composition(X_148,X_149)),
inference(subst,[],[composition_distributivity_7:[bind(A,$fot(converse(complement(composition(X_149,top))))),bind(B,$fot(X_148)),bind(C,$fot(X_149))]]) ).
cnf(refute_0_6405,plain,
( composition(converse(complement(composition(X_149,top))),X_149) != zero
| composition(join(converse(complement(composition(X_149,top))),X_148),X_149) != join(composition(converse(complement(composition(X_149,top))),X_149),composition(X_148,X_149))
| composition(join(converse(complement(composition(X_149,top))),X_148),X_149) = join(zero,composition(X_148,X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_149,top))),X_148),X_149),join(composition(converse(complement(composition(X_149,top))),X_149),composition(X_148,X_149))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6406,plain,
( composition(join(converse(complement(composition(X_149,top))),X_148),X_149) != join(composition(converse(complement(composition(X_149,top))),X_149),composition(X_148,X_149))
| composition(join(converse(complement(composition(X_149,top))),X_148),X_149) = join(zero,composition(X_148,X_149)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_149,top))),X_149),zero) )],[refute_0_2447,refute_0_6405]) ).
cnf(refute_0_6407,plain,
composition(join(converse(complement(composition(X_149,top))),X_148),X_149) = join(zero,composition(X_148,X_149)),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_149,top))),X_148),X_149),join(composition(converse(complement(composition(X_149,top))),X_149),composition(X_148,X_149))) )],[refute_0_6404,refute_0_6406]) ).
cnf(refute_0_6408,plain,
join(zero,composition(X_148,X_149)) = composition(X_148,X_149),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(composition(X_148,X_149)))]]) ).
cnf(refute_0_6409,plain,
( composition(join(converse(complement(composition(X_149,top))),X_148),X_149) != join(zero,composition(X_148,X_149))
| join(zero,composition(X_148,X_149)) != composition(X_148,X_149)
| composition(join(converse(complement(composition(X_149,top))),X_148),X_149) = composition(X_148,X_149) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(converse(complement(composition(X_149,top))),X_148),X_149),composition(X_148,X_149)) ),[0],$fot(join(zero,composition(X_148,X_149)))]]) ).
cnf(refute_0_6410,plain,
( composition(join(converse(complement(composition(X_149,top))),X_148),X_149) != join(zero,composition(X_148,X_149))
| composition(join(converse(complement(composition(X_149,top))),X_148),X_149) = composition(X_148,X_149) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_148,X_149)),composition(X_148,X_149)) )],[refute_0_6408,refute_0_6409]) ).
cnf(refute_0_6411,plain,
composition(join(converse(complement(composition(X_149,top))),X_148),X_149) = composition(X_148,X_149),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_149,top))),X_148),X_149),join(zero,composition(X_148,X_149))) )],[refute_0_6407,refute_0_6410]) ).
cnf(refute_0_6412,plain,
join(converse(complement(composition(X_149,top))),X_148) = join(converse(complement(composition(X_149,top))),X_148),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(X_149,top))),X_148))]]) ).
cnf(refute_0_6413,plain,
( converse(complement(composition(X_149,top))) != complement(converse(composition(X_149,top)))
| join(converse(complement(composition(X_149,top))),X_148) != join(converse(complement(composition(X_149,top))),X_148)
| join(converse(complement(composition(X_149,top))),X_148) = join(complement(converse(composition(X_149,top))),X_148) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(X_149,top))),X_148),join(converse(complement(composition(X_149,top))),X_148)) ),[1,0],$fot(complement(converse(composition(X_149,top))))]]) ).
cnf(refute_0_6414,plain,
( converse(complement(composition(X_149,top))) != complement(converse(composition(X_149,top)))
| join(converse(complement(composition(X_149,top))),X_148) = join(complement(converse(composition(X_149,top))),X_148) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(X_149,top))),X_148),join(converse(complement(composition(X_149,top))),X_148)) )],[refute_0_6412,refute_0_6413]) ).
cnf(refute_0_6415,plain,
join(converse(complement(composition(X_149,top))),X_148) = join(complement(converse(composition(X_149,top))),X_148),
inference(resolve,[$cnf( $equal(converse(complement(composition(X_149,top))),complement(converse(composition(X_149,top)))) )],[refute_0_2566,refute_0_6414]) ).
cnf(refute_0_6416,plain,
composition(join(converse(complement(composition(X_149,top))),X_148),X_149) = composition(join(converse(complement(composition(X_149,top))),X_148),X_149),
introduced(tautology,[refl,[$fot(composition(join(converse(complement(composition(X_149,top))),X_148),X_149))]]) ).
cnf(refute_0_6417,plain,
( composition(join(converse(complement(composition(X_149,top))),X_148),X_149) != composition(join(converse(complement(composition(X_149,top))),X_148),X_149)
| join(converse(complement(composition(X_149,top))),X_148) != join(complement(converse(composition(X_149,top))),X_148)
| composition(join(converse(complement(composition(X_149,top))),X_148),X_149) = composition(join(complement(converse(composition(X_149,top))),X_148),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_149,top))),X_148),X_149),composition(join(converse(complement(composition(X_149,top))),X_148),X_149)) ),[1,0],$fot(join(complement(converse(composition(X_149,top))),X_148))]]) ).
cnf(refute_0_6418,plain,
( join(converse(complement(composition(X_149,top))),X_148) != join(complement(converse(composition(X_149,top))),X_148)
| composition(join(converse(complement(composition(X_149,top))),X_148),X_149) = composition(join(complement(converse(composition(X_149,top))),X_148),X_149) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_149,top))),X_148),X_149),composition(join(converse(complement(composition(X_149,top))),X_148),X_149)) )],[refute_0_6416,refute_0_6417]) ).
cnf(refute_0_6419,plain,
composition(join(converse(complement(composition(X_149,top))),X_148),X_149) = composition(join(complement(converse(composition(X_149,top))),X_148),X_149),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(X_149,top))),X_148),join(complement(converse(composition(X_149,top))),X_148)) )],[refute_0_6415,refute_0_6418]) ).
cnf(refute_0_6420,plain,
( composition(join(converse(complement(composition(X_149,top))),X_148),X_149) != composition(X_148,X_149)
| composition(join(converse(complement(composition(X_149,top))),X_148),X_149) != composition(join(complement(converse(composition(X_149,top))),X_148),X_149)
| composition(join(complement(converse(composition(X_149,top))),X_148),X_149) = composition(X_148,X_149) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_149,top))),X_148),X_149),composition(X_148,X_149)) ),[0],$fot(composition(join(complement(converse(composition(X_149,top))),X_148),X_149))]]) ).
cnf(refute_0_6421,plain,
( composition(join(converse(complement(composition(X_149,top))),X_148),X_149) != composition(X_148,X_149)
| composition(join(complement(converse(composition(X_149,top))),X_148),X_149) = composition(X_148,X_149) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_149,top))),X_148),X_149),composition(join(complement(converse(composition(X_149,top))),X_148),X_149)) )],[refute_0_6419,refute_0_6420]) ).
cnf(refute_0_6422,plain,
composition(join(complement(converse(composition(X_149,top))),X_148),X_149) = composition(X_148,X_149),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_149,top))),X_148),X_149),composition(X_148,X_149)) )],[refute_0_6411,refute_0_6421]) ).
cnf(refute_0_6423,plain,
composition(join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top)),X_1004) = composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004),
inference(subst,[],[refute_0_6422:[bind(X_148,$fot(composition(complement(complement(converse(composition(X_1004,top)))),top))),bind(X_149,$fot(X_1004))]]) ).
cnf(refute_0_6424,plain,
top = join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top)),
inference(subst,[],[refute_0_3239:[bind(A,$fot(complement(converse(composition(X_1004,top)))))]]) ).
cnf(refute_0_6425,plain,
( top != join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top))
| join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top))))]]) ).
cnf(refute_0_6426,plain,
join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top)) = top,
inference(resolve,[$cnf( $equal(top,join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top))) )],[refute_0_6424,refute_0_6425]) ).
cnf(refute_0_6427,plain,
( composition(join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top)),X_1004) != composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004)
| join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top)) != top
| composition(top,X_1004) = composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top)),X_1004),composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004)) ),[0,0],$fot(top)]]) ).
cnf(refute_0_6428,plain,
( composition(join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top)),X_1004) != composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004)
| composition(top,X_1004) = composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top)),top) )],[refute_0_6426,refute_0_6427]) ).
cnf(refute_0_6429,plain,
composition(top,X_1004) = composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(composition(X_1004,top))),composition(complement(complement(converse(composition(X_1004,top)))),top)),X_1004),composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004)) )],[refute_0_6423,refute_0_6428]) ).
cnf(refute_0_6430,plain,
converse(composition(converse(A),composition(top,composition(X_533,top)))) = composition(converse(composition(top,composition(X_533,top))),A),
inference(subst,[],[refute_0_20:[bind(X_35,$fot(composition(top,composition(X_533,top))))]]) ).
cnf(refute_0_6431,plain,
composition(top,composition(X_533,top)) = converse(composition(top,composition(X_533,top))),
inference(subst,[],[refute_0_6140:[bind(X_528,$fot(X_533))]]) ).
cnf(refute_0_6432,plain,
( composition(top,composition(X_533,top)) != converse(composition(top,composition(X_533,top)))
| converse(composition(top,composition(X_533,top))) = composition(top,composition(X_533,top)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,composition(X_533,top)))),bind(Y,$fot(converse(composition(top,composition(X_533,top)))))]]) ).
cnf(refute_0_6433,plain,
converse(composition(top,composition(X_533,top))) = composition(top,composition(X_533,top)),
inference(resolve,[$cnf( $equal(composition(top,composition(X_533,top)),converse(composition(top,composition(X_533,top)))) )],[refute_0_6431,refute_0_6432]) ).
cnf(refute_0_6434,plain,
( converse(composition(converse(A),composition(top,composition(X_533,top)))) != composition(converse(composition(top,composition(X_533,top))),A)
| converse(composition(top,composition(X_533,top))) != composition(top,composition(X_533,top))
| converse(composition(converse(A),composition(top,composition(X_533,top)))) = composition(composition(top,composition(X_533,top)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),composition(top,composition(X_533,top)))),composition(converse(composition(top,composition(X_533,top))),A)) ),[1,0],$fot(composition(top,composition(X_533,top)))]]) ).
cnf(refute_0_6435,plain,
( converse(composition(converse(A),composition(top,composition(X_533,top)))) != composition(converse(composition(top,composition(X_533,top))),A)
| converse(composition(converse(A),composition(top,composition(X_533,top)))) = composition(composition(top,composition(X_533,top)),A) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(X_533,top))),composition(top,composition(X_533,top))) )],[refute_0_6433,refute_0_6434]) ).
cnf(refute_0_6436,plain,
converse(composition(converse(A),composition(top,composition(X_533,top)))) = composition(composition(top,composition(X_533,top)),A),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),composition(top,composition(X_533,top)))),composition(converse(composition(top,composition(X_533,top))),A)) )],[refute_0_6430,refute_0_6435]) ).
cnf(refute_0_6437,plain,
composition(converse(composition(X_533,top)),composition(top,A)) = composition(top,composition(converse(X_533),composition(top,A))),
inference(subst,[],[refute_0_2593:[bind(C,$fot(composition(top,A))),bind(X_332,$fot(X_533))]]) ).
cnf(refute_0_6438,plain,
composition(converse(composition(top,composition(X_533,top))),A) = composition(converse(composition(X_533,top)),composition(top,A)),
inference(subst,[],[refute_0_3632:[bind(C,$fot(A)),bind(X_172,$fot(composition(X_533,top)))]]) ).
cnf(refute_0_6439,plain,
( composition(converse(composition(X_533,top)),composition(top,A)) != composition(top,composition(converse(X_533),composition(top,A)))
| composition(converse(composition(top,composition(X_533,top))),A) != composition(converse(composition(X_533,top)),composition(top,A))
| composition(converse(composition(top,composition(X_533,top))),A) = composition(top,composition(converse(X_533),composition(top,A))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(composition(top,composition(X_533,top))),A))),bind(Y,$fot(composition(converse(composition(X_533,top)),composition(top,A)))),bind(Z,$fot(composition(top,composition(converse(X_533),composition(top,A)))))]]) ).
cnf(refute_0_6440,plain,
( composition(converse(composition(X_533,top)),composition(top,A)) != composition(top,composition(converse(X_533),composition(top,A)))
| composition(converse(composition(top,composition(X_533,top))),A) = composition(top,composition(converse(X_533),composition(top,A))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,composition(X_533,top))),A),composition(converse(composition(X_533,top)),composition(top,A))) )],[refute_0_6438,refute_0_6439]) ).
cnf(refute_0_6441,plain,
composition(converse(composition(top,composition(X_533,top))),A) = composition(top,composition(converse(X_533),composition(top,A))),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_533,top)),composition(top,A)),composition(top,composition(converse(X_533),composition(top,A)))) )],[refute_0_6437,refute_0_6440]) ).
cnf(refute_0_6442,plain,
( composition(converse(composition(top,composition(X_533,top))),A) != composition(top,composition(converse(X_533),composition(top,A)))
| converse(composition(converse(A),composition(top,composition(X_533,top)))) != composition(converse(composition(top,composition(X_533,top))),A)
| converse(composition(converse(A),composition(top,composition(X_533,top)))) = composition(top,composition(converse(X_533),composition(top,A))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(converse(A),composition(top,composition(X_533,top)))))),bind(Y,$fot(composition(converse(composition(top,composition(X_533,top))),A))),bind(Z,$fot(composition(top,composition(converse(X_533),composition(top,A)))))]]) ).
cnf(refute_0_6443,plain,
( composition(converse(composition(top,composition(X_533,top))),A) != composition(top,composition(converse(X_533),composition(top,A)))
| converse(composition(converse(A),composition(top,composition(X_533,top)))) = composition(top,composition(converse(X_533),composition(top,A))) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),composition(top,composition(X_533,top)))),composition(converse(composition(top,composition(X_533,top))),A)) )],[refute_0_6430,refute_0_6442]) ).
cnf(refute_0_6444,plain,
converse(composition(converse(A),composition(top,composition(X_533,top)))) = composition(top,composition(converse(X_533),composition(top,A))),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,composition(X_533,top))),A),composition(top,composition(converse(X_533),composition(top,A)))) )],[refute_0_6441,refute_0_6443]) ).
cnf(refute_0_6445,plain,
( converse(composition(converse(A),composition(top,composition(X_533,top)))) != composition(composition(top,composition(X_533,top)),A)
| converse(composition(converse(A),composition(top,composition(X_533,top)))) != composition(top,composition(converse(X_533),composition(top,A)))
| composition(top,composition(converse(X_533),composition(top,A))) = composition(composition(top,composition(X_533,top)),A) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(A),composition(top,composition(X_533,top)))),composition(composition(top,composition(X_533,top)),A)) ),[0],$fot(composition(top,composition(converse(X_533),composition(top,A))))]]) ).
cnf(refute_0_6446,plain,
( converse(composition(converse(A),composition(top,composition(X_533,top)))) != composition(composition(top,composition(X_533,top)),A)
| composition(top,composition(converse(X_533),composition(top,A))) = composition(composition(top,composition(X_533,top)),A) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),composition(top,composition(X_533,top)))),composition(top,composition(converse(X_533),composition(top,A)))) )],[refute_0_6444,refute_0_6445]) ).
cnf(refute_0_6447,plain,
composition(composition(X_533,top),A) = composition(X_533,composition(top,A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_533)),bind(B,$fot(top)),bind(C,$fot(A))]]) ).
cnf(refute_0_6448,plain,
composition(top,composition(composition(X_533,top),A)) = composition(top,composition(composition(X_533,top),A)),
introduced(tautology,[refl,[$fot(composition(top,composition(composition(X_533,top),A)))]]) ).
cnf(refute_0_6449,plain,
( composition(composition(X_533,top),A) != composition(X_533,composition(top,A))
| composition(top,composition(composition(X_533,top),A)) != composition(top,composition(composition(X_533,top),A))
| composition(top,composition(composition(X_533,top),A)) = composition(top,composition(X_533,composition(top,A))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(X_533,top),A)),composition(top,composition(composition(X_533,top),A))) ),[1,1],$fot(composition(X_533,composition(top,A)))]]) ).
cnf(refute_0_6450,plain,
( composition(composition(X_533,top),A) != composition(X_533,composition(top,A))
| composition(top,composition(composition(X_533,top),A)) = composition(top,composition(X_533,composition(top,A))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(X_533,top),A)),composition(top,composition(composition(X_533,top),A))) )],[refute_0_6448,refute_0_6449]) ).
cnf(refute_0_6451,plain,
composition(top,composition(composition(X_533,top),A)) = composition(top,composition(X_533,composition(top,A))),
inference(resolve,[$cnf( $equal(composition(composition(X_533,top),A),composition(X_533,composition(top,A))) )],[refute_0_6447,refute_0_6450]) ).
cnf(refute_0_6452,plain,
composition(composition(top,composition(X_533,top)),A) = composition(top,composition(composition(X_533,top),A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(top)),bind(B,$fot(composition(X_533,top))),bind(C,$fot(A))]]) ).
cnf(refute_0_6453,plain,
( composition(composition(top,composition(X_533,top)),A) != composition(top,composition(composition(X_533,top),A))
| composition(top,composition(composition(X_533,top),A)) != composition(top,composition(X_533,composition(top,A)))
| composition(composition(top,composition(X_533,top)),A) = composition(top,composition(X_533,composition(top,A))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(composition(top,composition(X_533,top)),A))),bind(Y,$fot(composition(top,composition(composition(X_533,top),A)))),bind(Z,$fot(composition(top,composition(X_533,composition(top,A)))))]]) ).
cnf(refute_0_6454,plain,
( composition(top,composition(composition(X_533,top),A)) != composition(top,composition(X_533,composition(top,A)))
| composition(composition(top,composition(X_533,top)),A) = composition(top,composition(X_533,composition(top,A))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,composition(X_533,top)),A),composition(top,composition(composition(X_533,top),A))) )],[refute_0_6452,refute_0_6453]) ).
cnf(refute_0_6455,plain,
composition(composition(top,composition(X_533,top)),A) = composition(top,composition(X_533,composition(top,A))),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(X_533,top),A)),composition(top,composition(X_533,composition(top,A)))) )],[refute_0_6451,refute_0_6454]) ).
cnf(refute_0_6456,plain,
( composition(composition(top,composition(X_533,top)),A) != composition(top,composition(X_533,composition(top,A)))
| composition(top,composition(converse(X_533),composition(top,A))) != composition(composition(top,composition(X_533,top)),A)
| composition(top,composition(converse(X_533),composition(top,A))) = composition(top,composition(X_533,composition(top,A))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(X_533),composition(top,A))),composition(composition(top,composition(X_533,top)),A)) ),[1],$fot(composition(top,composition(X_533,composition(top,A))))]]) ).
cnf(refute_0_6457,plain,
( composition(top,composition(converse(X_533),composition(top,A))) != composition(composition(top,composition(X_533,top)),A)
| composition(top,composition(converse(X_533),composition(top,A))) = composition(top,composition(X_533,composition(top,A))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,composition(X_533,top)),A),composition(top,composition(X_533,composition(top,A)))) )],[refute_0_6455,refute_0_6456]) ).
cnf(refute_0_6458,plain,
( converse(composition(converse(A),composition(top,composition(X_533,top)))) != composition(composition(top,composition(X_533,top)),A)
| composition(top,composition(converse(X_533),composition(top,A))) = composition(top,composition(X_533,composition(top,A))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_533),composition(top,A))),composition(composition(top,composition(X_533,top)),A)) )],[refute_0_6446,refute_0_6457]) ).
cnf(refute_0_6459,plain,
composition(top,composition(converse(X_533),composition(top,A))) = composition(top,composition(X_533,composition(top,A))),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),composition(top,composition(X_533,top)))),composition(composition(top,composition(X_533,top)),A)) )],[refute_0_6436,refute_0_6458]) ).
cnf(refute_0_6460,plain,
composition(top,composition(converse(X_1004),composition(top,X_1004))) = composition(top,composition(X_1004,composition(top,X_1004))),
inference(subst,[],[refute_0_6459:[bind(A,$fot(X_1004)),bind(X_533,$fot(X_1004))]]) ).
cnf(refute_0_6461,plain,
composition(converse(composition(X_1004,top)),composition(top,X_1004)) = composition(top,composition(converse(X_1004),composition(top,X_1004))),
inference(subst,[],[refute_0_2593:[bind(C,$fot(composition(top,X_1004))),bind(X_332,$fot(X_1004))]]) ).
cnf(refute_0_6462,plain,
( composition(converse(composition(X_1004,top)),composition(top,X_1004)) != composition(top,composition(converse(X_1004),composition(top,X_1004)))
| composition(top,composition(converse(X_1004),composition(top,X_1004))) != composition(top,composition(X_1004,composition(top,X_1004)))
| composition(converse(composition(X_1004,top)),composition(top,X_1004)) = composition(top,composition(X_1004,composition(top,X_1004))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(converse(composition(X_1004,top)),composition(top,X_1004)))),bind(Y,$fot(composition(top,composition(converse(X_1004),composition(top,X_1004))))),bind(Z,$fot(composition(top,composition(X_1004,composition(top,X_1004)))))]]) ).
cnf(refute_0_6463,plain,
( composition(top,composition(converse(X_1004),composition(top,X_1004))) != composition(top,composition(X_1004,composition(top,X_1004)))
| composition(converse(composition(X_1004,top)),composition(top,X_1004)) = composition(top,composition(X_1004,composition(top,X_1004))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_1004,top)),composition(top,X_1004)),composition(top,composition(converse(X_1004),composition(top,X_1004)))) )],[refute_0_6461,refute_0_6462]) ).
cnf(refute_0_6464,plain,
composition(converse(composition(X_1004,top)),composition(top,X_1004)) = composition(top,composition(X_1004,composition(top,X_1004))),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_1004),composition(top,X_1004))),composition(top,composition(X_1004,composition(top,X_1004)))) )],[refute_0_6460,refute_0_6463]) ).
cnf(refute_0_6465,plain,
complement(complement(converse(composition(X_1004,top)))) = converse(composition(X_1004,top)),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(converse(composition(X_1004,top))))]]) ).
cnf(refute_0_6466,plain,
composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)) = composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)),
introduced(tautology,[refl,[$fot(composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)))]]) ).
cnf(refute_0_6467,plain,
( complement(complement(converse(composition(X_1004,top)))) != converse(composition(X_1004,top))
| composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)) != composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004))
| composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)) = composition(converse(composition(X_1004,top)),composition(top,X_1004)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)),composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004))) ),[1,0],$fot(converse(composition(X_1004,top)))]]) ).
cnf(refute_0_6468,plain,
( complement(complement(converse(composition(X_1004,top)))) != converse(composition(X_1004,top))
| composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)) = composition(converse(composition(X_1004,top)),composition(top,X_1004)) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)),composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004))) )],[refute_0_6466,refute_0_6467]) ).
cnf(refute_0_6469,plain,
composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)) = composition(converse(composition(X_1004,top)),composition(top,X_1004)),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(X_1004,top)))),converse(composition(X_1004,top))) )],[refute_0_6465,refute_0_6468]) ).
cnf(refute_0_6470,plain,
( composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)) != composition(converse(composition(X_1004,top)),composition(top,X_1004))
| composition(converse(composition(X_1004,top)),composition(top,X_1004)) != composition(top,composition(X_1004,composition(top,X_1004)))
| composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)) = composition(top,composition(X_1004,composition(top,X_1004))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)))),bind(Y,$fot(composition(converse(composition(X_1004,top)),composition(top,X_1004)))),bind(Z,$fot(composition(top,composition(X_1004,composition(top,X_1004)))))]]) ).
cnf(refute_0_6471,plain,
( composition(converse(composition(X_1004,top)),composition(top,X_1004)) != composition(top,composition(X_1004,composition(top,X_1004)))
| composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)) = composition(top,composition(X_1004,composition(top,X_1004))) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)),composition(converse(composition(X_1004,top)),composition(top,X_1004))) )],[refute_0_6469,refute_0_6470]) ).
cnf(refute_0_6472,plain,
composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)) = composition(top,composition(X_1004,composition(top,X_1004))),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_1004,top)),composition(top,X_1004)),composition(top,composition(X_1004,composition(top,X_1004)))) )],[refute_0_6464,refute_0_6471]) ).
cnf(refute_0_6473,plain,
composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004) = composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)),
inference(subst,[],[refute_0_4:[bind(A,$fot(complement(complement(converse(composition(X_1004,top)))))),bind(B,$fot(top)),bind(C,$fot(X_1004))]]) ).
cnf(refute_0_6474,plain,
( composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)) != composition(top,composition(X_1004,composition(top,X_1004)))
| composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004) != composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004))
| composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004) = composition(top,composition(X_1004,composition(top,X_1004))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004))),bind(Y,$fot(composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)))),bind(Z,$fot(composition(top,composition(X_1004,composition(top,X_1004)))))]]) ).
cnf(refute_0_6475,plain,
( composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)) != composition(top,composition(X_1004,composition(top,X_1004)))
| composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004) = composition(top,composition(X_1004,composition(top,X_1004))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004),composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004))) )],[refute_0_6473,refute_0_6474]) ).
cnf(refute_0_6476,plain,
composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004) = composition(top,composition(X_1004,composition(top,X_1004))),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(composition(X_1004,top)))),composition(top,X_1004)),composition(top,composition(X_1004,composition(top,X_1004)))) )],[refute_0_6472,refute_0_6475]) ).
cnf(refute_0_6477,plain,
( composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004) != composition(top,composition(X_1004,composition(top,X_1004)))
| composition(top,X_1004) != composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004)
| composition(top,X_1004) = composition(top,composition(X_1004,composition(top,X_1004))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,X_1004),composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004)) ),[1],$fot(composition(top,composition(X_1004,composition(top,X_1004))))]]) ).
cnf(refute_0_6478,plain,
( composition(top,X_1004) != composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004)
| composition(top,X_1004) = composition(top,composition(X_1004,composition(top,X_1004))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004),composition(top,composition(X_1004,composition(top,X_1004)))) )],[refute_0_6476,refute_0_6477]) ).
cnf(refute_0_6479,plain,
composition(top,X_1004) = composition(top,composition(X_1004,composition(top,X_1004))),
inference(resolve,[$cnf( $equal(composition(top,X_1004),composition(composition(complement(complement(converse(composition(X_1004,top)))),top),X_1004)) )],[refute_0_6429,refute_0_6478]) ).
cnf(refute_0_6480,plain,
composition(top,X_1005) = composition(top,composition(X_1005,composition(top,X_1005))),
inference(subst,[],[refute_0_6479:[bind(X_1004,$fot(X_1005))]]) ).
cnf(refute_0_6481,plain,
( composition(top,X_1005) != composition(top,composition(X_1005,composition(top,X_1005)))
| composition(top,composition(X_1005,composition(top,X_1005))) = composition(top,X_1005) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(composition(top,X_1005))),bind(Y,$fot(composition(top,composition(X_1005,composition(top,X_1005)))))]]) ).
cnf(refute_0_6482,plain,
composition(top,composition(X_1005,composition(top,X_1005))) = composition(top,X_1005),
inference(resolve,[$cnf( $equal(composition(top,X_1005),composition(top,composition(X_1005,composition(top,X_1005)))) )],[refute_0_6480,refute_0_6481]) ).
cnf(refute_0_6483,plain,
( composition(top,composition(X_1005,composition(top,X_1005))) != composition(top,X_1005)
| meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,composition(X_1005,composition(top,X_1005)))))) != zero
| meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,X_1005)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,composition(X_1005,composition(top,X_1005)))))),zero) ),[0,1,0,0],$fot(composition(top,X_1005))]]) ).
cnf(refute_0_6484,plain,
( meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,composition(X_1005,composition(top,X_1005)))))) != zero
| meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,X_1005)))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,composition(X_1005,composition(top,X_1005))),composition(top,X_1005)) )],[refute_0_6482,refute_0_6483]) ).
cnf(refute_0_6485,plain,
meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,X_1005)))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,composition(X_1005,composition(top,X_1005)))))),zero) )],[refute_0_6403,refute_0_6484]) ).
cnf(refute_0_6486,plain,
meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,X_1005)))) = meet(complement(converse(composition(top,X_1005))),converse(composition(X_1005,composition(top,X_1005)))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(complement(converse(composition(top,X_1005))))),bind(X_16,$fot(converse(composition(X_1005,composition(top,X_1005)))))]]) ).
cnf(refute_0_6487,plain,
( meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,X_1005)))) != meet(complement(converse(composition(top,X_1005))),converse(composition(X_1005,composition(top,X_1005))))
| meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,X_1005)))) != zero
| meet(complement(converse(composition(top,X_1005))),converse(composition(X_1005,composition(top,X_1005)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,X_1005)))),zero) ),[0],$fot(meet(complement(converse(composition(top,X_1005))),converse(composition(X_1005,composition(top,X_1005)))))]]) ).
cnf(refute_0_6488,plain,
( meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,X_1005)))) != zero
| meet(complement(converse(composition(top,X_1005))),converse(composition(X_1005,composition(top,X_1005)))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,X_1005)))),meet(complement(converse(composition(top,X_1005))),converse(composition(X_1005,composition(top,X_1005))))) )],[refute_0_6486,refute_0_6487]) ).
cnf(refute_0_6489,plain,
meet(complement(converse(composition(top,X_1005))),converse(composition(X_1005,composition(top,X_1005)))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(composition(X_1005,composition(top,X_1005))),complement(converse(composition(top,X_1005)))),zero) )],[refute_0_6485,refute_0_6488]) ).
cnf(refute_0_6490,plain,
meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),composition(top,converse(A))))) = zero,
inference(subst,[],[refute_0_6489:[bind(X_1005,$fot(converse(A)))]]) ).
cnf(refute_0_6491,plain,
( composition(top,converse(A)) != converse(composition(A,top))
| meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),composition(top,converse(A))))) != zero
| meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),composition(top,converse(A))))),zero) ),[0,1,0,1],$fot(converse(composition(A,top)))]]) ).
cnf(refute_0_6492,plain,
( meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),composition(top,converse(A))))) != zero
| meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,converse(A)),converse(composition(A,top))) )],[refute_0_2172,refute_0_6491]) ).
cnf(refute_0_6493,plain,
meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),composition(top,converse(A))))),zero) )],[refute_0_6490,refute_0_6492]) ).
cnf(refute_0_6494,plain,
composition(converse(top),A) = composition(converse(top),A),
introduced(tautology,[refl,[$fot(composition(converse(top),A))]]) ).
cnf(refute_0_6495,plain,
( composition(converse(top),A) != composition(converse(top),A)
| converse(top) != top
| composition(converse(top),A) = composition(top,A) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),A),composition(converse(top),A)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6496,plain,
( converse(top) != top
| composition(converse(top),A) = composition(top,A) ),
inference(resolve,[$cnf( $equal(composition(converse(top),A),composition(converse(top),A)) )],[refute_0_6494,refute_0_6495]) ).
cnf(refute_0_6497,plain,
composition(converse(top),A) = composition(top,A),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_2122,refute_0_6496]) ).
cnf(refute_0_6498,plain,
converse(composition(converse(A),top)) = composition(converse(top),A),
inference(subst,[],[refute_0_20:[bind(X_35,$fot(top))]]) ).
cnf(refute_0_6499,plain,
composition(top,converse(converse(A))) = converse(composition(converse(A),top)),
inference(subst,[],[refute_0_2172:[bind(A,$fot(converse(A)))]]) ).
cnf(refute_0_6500,plain,
( composition(top,converse(converse(A))) != converse(composition(converse(A),top))
| converse(composition(converse(A),top)) != composition(converse(top),A)
| composition(top,converse(converse(A))) = composition(converse(top),A) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,converse(converse(A))))),bind(Y,$fot(converse(composition(converse(A),top)))),bind(Z,$fot(composition(converse(top),A)))]]) ).
cnf(refute_0_6501,plain,
( converse(composition(converse(A),top)) != composition(converse(top),A)
| composition(top,converse(converse(A))) = composition(converse(top),A) ),
inference(resolve,[$cnf( $equal(composition(top,converse(converse(A))),converse(composition(converse(A),top))) )],[refute_0_6499,refute_0_6500]) ).
cnf(refute_0_6502,plain,
composition(top,converse(converse(A))) = composition(converse(top),A),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),top)),composition(converse(top),A)) )],[refute_0_6498,refute_0_6501]) ).
cnf(refute_0_6503,plain,
( composition(converse(top),A) != composition(top,A)
| composition(top,converse(converse(A))) != composition(converse(top),A)
| composition(top,converse(converse(A))) = composition(top,A) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(top,converse(converse(A))))),bind(Y,$fot(composition(converse(top),A))),bind(Z,$fot(composition(top,A)))]]) ).
cnf(refute_0_6504,plain,
( composition(converse(top),A) != composition(top,A)
| composition(top,converse(converse(A))) = composition(top,A) ),
inference(resolve,[$cnf( $equal(composition(top,converse(converse(A))),composition(converse(top),A)) )],[refute_0_6502,refute_0_6503]) ).
cnf(refute_0_6505,plain,
composition(top,converse(converse(A))) = composition(top,A),
inference(resolve,[$cnf( $equal(composition(converse(top),A),composition(top,A)) )],[refute_0_6497,refute_0_6504]) ).
cnf(refute_0_6506,plain,
composition(A,composition(top,converse(converse(A)))) = composition(A,composition(top,converse(converse(A)))),
introduced(tautology,[refl,[$fot(composition(A,composition(top,converse(converse(A)))))]]) ).
cnf(refute_0_6507,plain,
( composition(A,composition(top,converse(converse(A)))) != composition(A,composition(top,converse(converse(A))))
| composition(top,converse(converse(A))) != composition(top,A)
| composition(A,composition(top,converse(converse(A)))) = composition(A,composition(top,A)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(A,composition(top,converse(converse(A)))),composition(A,composition(top,converse(converse(A))))) ),[1,1],$fot(composition(top,A))]]) ).
cnf(refute_0_6508,plain,
( composition(top,converse(converse(A))) != composition(top,A)
| composition(A,composition(top,converse(converse(A)))) = composition(A,composition(top,A)) ),
inference(resolve,[$cnf( $equal(composition(A,composition(top,converse(converse(A)))),composition(A,composition(top,converse(converse(A))))) )],[refute_0_6506,refute_0_6507]) ).
cnf(refute_0_6509,plain,
composition(A,composition(top,converse(converse(A)))) = composition(A,composition(top,A)),
inference(resolve,[$cnf( $equal(composition(top,converse(converse(A))),composition(top,A)) )],[refute_0_6505,refute_0_6508]) ).
cnf(refute_0_6510,plain,
composition(composition(A,top),converse(converse(A))) = composition(A,composition(top,converse(converse(A)))),
inference(subst,[],[refute_0_4:[bind(B,$fot(top)),bind(C,$fot(converse(converse(A))))]]) ).
cnf(refute_0_6511,plain,
converse(composition(converse(A),converse(composition(A,top)))) = composition(composition(A,top),converse(converse(A))),
inference(subst,[],[refute_0_104:[bind(A,$fot(composition(A,top))),bind(X_34,$fot(converse(A)))]]) ).
cnf(refute_0_6512,plain,
( composition(composition(A,top),converse(converse(A))) != composition(A,composition(top,converse(converse(A))))
| converse(composition(converse(A),converse(composition(A,top)))) != composition(composition(A,top),converse(converse(A)))
| converse(composition(converse(A),converse(composition(A,top)))) = composition(A,composition(top,converse(converse(A)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(converse(A),converse(composition(A,top)))))),bind(Y,$fot(composition(composition(A,top),converse(converse(A))))),bind(Z,$fot(composition(A,composition(top,converse(converse(A))))))]]) ).
cnf(refute_0_6513,plain,
( composition(composition(A,top),converse(converse(A))) != composition(A,composition(top,converse(converse(A))))
| converse(composition(converse(A),converse(composition(A,top)))) = composition(A,composition(top,converse(converse(A)))) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),converse(composition(A,top)))),composition(composition(A,top),converse(converse(A)))) )],[refute_0_6511,refute_0_6512]) ).
cnf(refute_0_6514,plain,
converse(composition(converse(A),converse(composition(A,top)))) = composition(A,composition(top,converse(converse(A)))),
inference(resolve,[$cnf( $equal(composition(composition(A,top),converse(converse(A))),composition(A,composition(top,converse(converse(A))))) )],[refute_0_6510,refute_0_6513]) ).
cnf(refute_0_6515,plain,
( composition(A,composition(top,converse(converse(A)))) != composition(A,composition(top,A))
| converse(composition(converse(A),converse(composition(A,top)))) != composition(A,composition(top,converse(converse(A))))
| converse(composition(converse(A),converse(composition(A,top)))) = composition(A,composition(top,A)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(converse(composition(converse(A),converse(composition(A,top)))))),bind(Y,$fot(composition(A,composition(top,converse(converse(A)))))),bind(Z,$fot(composition(A,composition(top,A))))]]) ).
cnf(refute_0_6516,plain,
( composition(A,composition(top,converse(converse(A)))) != composition(A,composition(top,A))
| converse(composition(converse(A),converse(composition(A,top)))) = composition(A,composition(top,A)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),converse(composition(A,top)))),composition(A,composition(top,converse(converse(A))))) )],[refute_0_6514,refute_0_6515]) ).
cnf(refute_0_6517,plain,
converse(composition(converse(A),converse(composition(A,top)))) = composition(A,composition(top,A)),
inference(resolve,[$cnf( $equal(composition(A,composition(top,converse(converse(A)))),composition(A,composition(top,A))) )],[refute_0_6509,refute_0_6516]) ).
cnf(refute_0_6518,plain,
meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))) = meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))),
introduced(tautology,[refl,[$fot(meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))))]]) ).
cnf(refute_0_6519,plain,
( converse(composition(converse(A),converse(composition(A,top)))) != composition(A,composition(top,A))
| meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))) != meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top)))))
| meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))) = meet(complement(composition(A,top)),composition(A,composition(top,A))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))),meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top)))))) ),[1,1],$fot(composition(A,composition(top,A)))]]) ).
cnf(refute_0_6520,plain,
( converse(composition(converse(A),converse(composition(A,top)))) != composition(A,composition(top,A))
| meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))) = meet(complement(composition(A,top)),composition(A,composition(top,A))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))),meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top)))))) )],[refute_0_6518,refute_0_6519]) ).
cnf(refute_0_6521,plain,
meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))) = meet(complement(composition(A,top)),composition(A,composition(top,A))),
inference(resolve,[$cnf( $equal(converse(composition(converse(A),converse(composition(A,top)))),composition(A,composition(top,A))) )],[refute_0_6517,refute_0_6520]) ).
cnf(refute_0_6522,plain,
meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) = meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))),
introduced(tautology,[refl,[$fot(meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))))]]) ).
cnf(refute_0_6523,plain,
( complement(converse(composition(top,converse(A)))) != complement(composition(A,top))
| meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) != meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top)))))
| meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) = meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))),meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top)))))) ),[1,0],$fot(complement(composition(A,top)))]]) ).
cnf(refute_0_6524,plain,
( complement(converse(composition(top,converse(A)))) != complement(composition(A,top))
| meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) = meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))),meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top)))))) )],[refute_0_6522,refute_0_6523]) ).
cnf(refute_0_6525,plain,
meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) = meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(A)))),complement(composition(A,top))) )],[refute_0_2432,refute_0_6524]) ).
cnf(refute_0_6526,plain,
( meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))) != meet(complement(composition(A,top)),composition(A,composition(top,A)))
| meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) != meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top)))))
| meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) = meet(complement(composition(A,top)),composition(A,composition(top,A))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))))),bind(Y,$fot(meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))))),bind(Z,$fot(meet(complement(composition(A,top)),composition(A,composition(top,A)))))]]) ).
cnf(refute_0_6527,plain,
( meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))) != meet(complement(composition(A,top)),composition(A,composition(top,A)))
| meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) = meet(complement(composition(A,top)),composition(A,composition(top,A))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))),meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top)))))) )],[refute_0_6525,refute_0_6526]) ).
cnf(refute_0_6528,plain,
meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) = meet(complement(composition(A,top)),composition(A,composition(top,A))),
inference(resolve,[$cnf( $equal(meet(complement(composition(A,top)),converse(composition(converse(A),converse(composition(A,top))))),meet(complement(composition(A,top)),composition(A,composition(top,A)))) )],[refute_0_6521,refute_0_6527]) ).
cnf(refute_0_6529,plain,
( meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) != meet(complement(composition(A,top)),composition(A,composition(top,A)))
| meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) != zero
| meet(complement(composition(A,top)),composition(A,composition(top,A))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))),zero) ),[0],$fot(meet(complement(composition(A,top)),composition(A,composition(top,A))))]]) ).
cnf(refute_0_6530,plain,
( meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))) != zero
| meet(complement(composition(A,top)),composition(A,composition(top,A))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))),meet(complement(composition(A,top)),composition(A,composition(top,A)))) )],[refute_0_6528,refute_0_6529]) ).
cnf(refute_0_6531,plain,
meet(complement(composition(A,top)),composition(A,composition(top,A))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(A)))),converse(composition(converse(A),converse(composition(A,top))))),zero) )],[refute_0_6493,refute_0_6530]) ).
cnf(refute_0_6532,plain,
meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038))) = zero,
inference(subst,[],[refute_0_6531:[bind(A,$fot(X_1038))]]) ).
cnf(refute_0_6533,plain,
( complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) != complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038))))
| meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038))) != zero
| complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))),complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6534,plain,
( complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) != complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038))))
| complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038))),zero) )],[refute_0_6532,refute_0_6533]) ).
cnf(refute_0_6535,plain,
complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) = complement(zero),
inference(resolve,[$cnf( $equal(complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))),complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038))))) )],[refute_0_6372,refute_0_6534]) ).
cnf(refute_0_6536,plain,
join(complement(composition(X_1038,composition(top,X_1038))),composition(X_1038,top)) = join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))),
inference(subst,[],[refute_0_140:[bind(X_119,$fot(composition(X_1038,top))),bind(X_120,$fot(complement(composition(X_1038,composition(top,X_1038)))))]]) ).
cnf(refute_0_6537,plain,
complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038)))) = join(complement(composition(X_1038,composition(top,X_1038))),composition(X_1038,top)),
inference(subst,[],[refute_0_2702:[bind(X_716,$fot(composition(X_1038,composition(top,X_1038)))),bind(X_717,$fot(composition(X_1038,top)))]]) ).
cnf(refute_0_6538,plain,
( complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038)))) != join(complement(composition(X_1038,composition(top,X_1038))),composition(X_1038,top))
| join(complement(composition(X_1038,composition(top,X_1038))),composition(X_1038,top)) != join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038))))
| complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038)))) = join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038)))))),bind(Y,$fot(join(complement(composition(X_1038,composition(top,X_1038))),composition(X_1038,top)))),bind(Z,$fot(join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038))))))]]) ).
cnf(refute_0_6539,plain,
( join(complement(composition(X_1038,composition(top,X_1038))),composition(X_1038,top)) != join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038))))
| complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038)))) = join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038)))),join(complement(composition(X_1038,composition(top,X_1038))),composition(X_1038,top))) )],[refute_0_6537,refute_0_6538]) ).
cnf(refute_0_6540,plain,
complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038)))) = join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))),
inference(resolve,[$cnf( $equal(join(complement(composition(X_1038,composition(top,X_1038))),composition(X_1038,top)),join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038))))) )],[refute_0_6536,refute_0_6539]) ).
cnf(refute_0_6541,plain,
( complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038)))) != join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038))))
| complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) != complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038))))
| complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) = join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))))),bind(Y,$fot(complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038)))))),bind(Z,$fot(join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038))))))]]) ).
cnf(refute_0_6542,plain,
( complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038)))) != join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038))))
| complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) = join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))),complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038))))) )],[refute_0_6372,refute_0_6541]) ).
cnf(refute_0_6543,plain,
complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) = join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))),
inference(resolve,[$cnf( $equal(complement(meet(complement(composition(X_1038,top)),composition(X_1038,composition(top,X_1038)))),join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038))))) )],[refute_0_6540,refute_0_6542]) ).
cnf(refute_0_6544,plain,
( complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) != complement(zero)
| complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) != join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038))))
| join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))),complement(zero)) ),[0],$fot(join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))))]]) ).
cnf(refute_0_6545,plain,
( complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) != complement(zero)
| join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))),join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038))))) )],[refute_0_6543,refute_0_6544]) ).
cnf(refute_0_6546,plain,
( complement(zero) != top
| join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))) != complement(zero)
| join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))),complement(zero)) ),[1],$fot(top)]]) ).
cnf(refute_0_6547,plain,
( join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))) != complement(zero)
| join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))) = top ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1014,refute_0_6546]) ).
cnf(refute_0_6548,plain,
( complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))) != complement(zero)
| join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))) = top ),
inference(resolve,[$cnf( $equal(join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))),complement(zero)) )],[refute_0_6545,refute_0_6547]) ).
cnf(refute_0_6549,plain,
join(composition(X_1038,top),complement(composition(X_1038,composition(top,X_1038)))) = top,
inference(resolve,[$cnf( $equal(complement(meet(composition(X_1038,composition(top,X_1038)),complement(composition(X_1038,top)))),complement(zero)) )],[refute_0_6535,refute_0_6548]) ).
cnf(refute_0_6550,plain,
join(composition(X_1386,top),complement(composition(X_1386,composition(top,X_1386)))) = top,
inference(subst,[],[refute_0_6549:[bind(X_1038,$fot(X_1386))]]) ).
cnf(refute_0_6551,plain,
( join(composition(X_1385,top),join(composition(X_1386,top),complement(composition(X_1386,composition(top,X_1386))))) != join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386))))
| join(composition(X_1386,top),complement(composition(X_1386,composition(top,X_1386)))) != top
| join(composition(X_1385,top),top) = join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_1385,top),join(composition(X_1386,top),complement(composition(X_1386,composition(top,X_1386))))),join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_6552,plain,
( join(composition(X_1385,top),join(composition(X_1386,top),complement(composition(X_1386,composition(top,X_1386))))) != join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386))))
| join(composition(X_1385,top),top) = join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386)))) ),
inference(resolve,[$cnf( $equal(join(composition(X_1386,top),complement(composition(X_1386,composition(top,X_1386)))),top) )],[refute_0_6550,refute_0_6551]) ).
cnf(refute_0_6553,plain,
join(composition(X_1385,top),top) = join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386)))),
inference(resolve,[$cnf( $equal(join(composition(X_1385,top),join(composition(X_1386,top),complement(composition(X_1386,composition(top,X_1386))))),join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386))))) )],[refute_0_6371,refute_0_6552]) ).
cnf(refute_0_6554,plain,
composition(join(X_1385,one),top) = top,
inference(subst,[],[refute_0_5857:[bind(B,$fot(X_1385))]]) ).
cnf(refute_0_6555,plain,
join(top,composition(X_1385,top)) = composition(join(X_1385,one),top),
inference(subst,[],[refute_0_73:[bind(X_147,$fot(X_1385)),bind(X_149,$fot(top))]]) ).
cnf(refute_0_6556,plain,
( composition(join(X_1385,one),top) != top
| join(top,composition(X_1385,top)) != composition(join(X_1385,one),top)
| join(top,composition(X_1385,top)) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(top,composition(X_1385,top)))),bind(Y,$fot(composition(join(X_1385,one),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_6557,plain,
( composition(join(X_1385,one),top) != top
| join(top,composition(X_1385,top)) = top ),
inference(resolve,[$cnf( $equal(join(top,composition(X_1385,top)),composition(join(X_1385,one),top)) )],[refute_0_6555,refute_0_6556]) ).
cnf(refute_0_6558,plain,
join(top,composition(X_1385,top)) = top,
inference(resolve,[$cnf( $equal(composition(join(X_1385,one),top),top) )],[refute_0_6554,refute_0_6557]) ).
cnf(refute_0_6559,plain,
join(composition(X_1385,top),top) = join(top,composition(X_1385,top)),
inference(subst,[],[refute_0_140:[bind(X_119,$fot(top)),bind(X_120,$fot(composition(X_1385,top)))]]) ).
cnf(refute_0_6560,plain,
( join(composition(X_1385,top),top) != join(top,composition(X_1385,top))
| join(top,composition(X_1385,top)) != top
| join(composition(X_1385,top),top) = top ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(composition(X_1385,top),top))),bind(Y,$fot(join(top,composition(X_1385,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_6561,plain,
( join(top,composition(X_1385,top)) != top
| join(composition(X_1385,top),top) = top ),
inference(resolve,[$cnf( $equal(join(composition(X_1385,top),top),join(top,composition(X_1385,top))) )],[refute_0_6559,refute_0_6560]) ).
cnf(refute_0_6562,plain,
join(composition(X_1385,top),top) = top,
inference(resolve,[$cnf( $equal(join(top,composition(X_1385,top)),top) )],[refute_0_6558,refute_0_6561]) ).
cnf(refute_0_6563,plain,
( join(composition(X_1385,top),top) != join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386))))
| join(composition(X_1385,top),top) != top
| top = join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_1385,top),top),join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386))))) ),[0],$fot(top)]]) ).
cnf(refute_0_6564,plain,
( join(composition(X_1385,top),top) != join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386))))
| top = join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386)))) ),
inference(resolve,[$cnf( $equal(join(composition(X_1385,top),top),top) )],[refute_0_6562,refute_0_6563]) ).
cnf(refute_0_6565,plain,
top = join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386)))),
inference(resolve,[$cnf( $equal(join(composition(X_1385,top),top),join(composition(join(X_1385,X_1386),top),complement(composition(X_1386,composition(top,X_1386))))) )],[refute_0_6553,refute_0_6564]) ).
cnf(refute_0_6566,plain,
top = join(composition(join(X_1388,complement(composition(top,complement(X_1388)))),top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))),
inference(subst,[],[refute_0_6565:[bind(X_1385,$fot(X_1388)),bind(X_1386,$fot(complement(composition(top,complement(X_1388)))))]]) ).
cnf(refute_0_6567,plain,
X_1388 = join(X_1388,complement(composition(top,complement(X_1388)))),
inference(subst,[],[refute_0_5338:[bind(A,$fot(X_1388))]]) ).
cnf(refute_0_6568,plain,
( X_1388 != join(X_1388,complement(composition(top,complement(X_1388))))
| join(X_1388,complement(composition(top,complement(X_1388)))) = X_1388 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_1388)),bind(Y,$fot(join(X_1388,complement(composition(top,complement(X_1388))))))]]) ).
cnf(refute_0_6569,plain,
join(X_1388,complement(composition(top,complement(X_1388)))) = X_1388,
inference(resolve,[$cnf( $equal(X_1388,join(X_1388,complement(composition(top,complement(X_1388))))) )],[refute_0_6567,refute_0_6568]) ).
cnf(refute_0_6570,plain,
( join(X_1388,complement(composition(top,complement(X_1388)))) != X_1388
| top != join(composition(join(X_1388,complement(composition(top,complement(X_1388)))),top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))
| top = join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(composition(join(X_1388,complement(composition(top,complement(X_1388)))),top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))) ),[1,0,0],$fot(X_1388)]]) ).
cnf(refute_0_6571,plain,
( top != join(composition(join(X_1388,complement(composition(top,complement(X_1388)))),top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))
| top = join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))) ),
inference(resolve,[$cnf( $equal(join(X_1388,complement(composition(top,complement(X_1388)))),X_1388) )],[refute_0_6569,refute_0_6570]) ).
cnf(refute_0_6572,plain,
top = join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))),
inference(resolve,[$cnf( $equal(top,join(composition(join(X_1388,complement(composition(top,complement(X_1388)))),top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))) )],[refute_0_6566,refute_0_6571]) ).
cnf(refute_0_6573,plain,
complement(complement(composition(top,complement(X_1388)))) = composition(top,complement(X_1388)),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(composition(top,complement(X_1388))))]]) ).
cnf(refute_0_6574,plain,
composition(top,complement(composition(top,X_161))) = composition(top,composition(complement(composition(top,X_161)),composition(top,complement(composition(top,X_161))))),
inference(subst,[],[refute_0_6479:[bind(X_1004,$fot(complement(composition(top,X_161))))]]) ).
cnf(refute_0_6575,plain,
( composition(top,complement(composition(top,X_161))) != complement(composition(top,X_161))
| composition(top,complement(composition(top,X_161))) != composition(top,composition(complement(composition(top,X_161)),composition(top,complement(composition(top,X_161)))))
| composition(top,complement(composition(top,X_161))) = composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(top,X_161))),composition(top,composition(complement(composition(top,X_161)),composition(top,complement(composition(top,X_161)))))) ),[1,1,1],$fot(complement(composition(top,X_161)))]]) ).
cnf(refute_0_6576,plain,
( composition(top,complement(composition(top,X_161))) != composition(top,composition(complement(composition(top,X_161)),composition(top,complement(composition(top,X_161)))))
| composition(top,complement(composition(top,X_161))) = composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_161))),complement(composition(top,X_161))) )],[refute_0_2925,refute_0_6575]) ).
cnf(refute_0_6577,plain,
composition(top,complement(composition(top,X_161))) = composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_161))),composition(top,composition(complement(composition(top,X_161)),composition(top,complement(composition(top,X_161)))))) )],[refute_0_6574,refute_0_6576]) ).
cnf(refute_0_6578,plain,
( composition(top,complement(composition(top,X_161))) != complement(composition(top,X_161))
| composition(top,complement(composition(top,X_161))) != composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161))))
| complement(composition(top,X_161)) = composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(top,X_161))),composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161))))) ),[0],$fot(complement(composition(top,X_161)))]]) ).
cnf(refute_0_6579,plain,
( composition(top,complement(composition(top,X_161))) != composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161))))
| complement(composition(top,X_161)) = composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_161))),complement(composition(top,X_161))) )],[refute_0_2925,refute_0_6578]) ).
cnf(refute_0_6580,plain,
composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161)))) = composition(complement(composition(top,X_161)),complement(composition(top,X_161))),
inference(subst,[],[refute_0_6113:[bind(C,$fot(complement(composition(top,X_161)))),bind(X_185,$fot(X_161))]]) ).
cnf(refute_0_6581,plain,
( complement(composition(top,X_161)) != composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161))))
| composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161)))) != composition(complement(composition(top,X_161)),complement(composition(top,X_161)))
| complement(composition(top,X_161)) = composition(complement(composition(top,X_161)),complement(composition(top,X_161))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,X_161)),composition(complement(composition(top,X_161)),complement(composition(top,X_161)))) ),[0],$fot(composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161)))))]]) ).
cnf(refute_0_6582,plain,
( complement(composition(top,X_161)) != composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161))))
| complement(composition(top,X_161)) = composition(complement(composition(top,X_161)),complement(composition(top,X_161))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161)))),composition(complement(composition(top,X_161)),complement(composition(top,X_161)))) )],[refute_0_6580,refute_0_6581]) ).
cnf(refute_0_6583,plain,
( composition(top,complement(composition(top,X_161))) != composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161))))
| complement(composition(top,X_161)) = composition(complement(composition(top,X_161)),complement(composition(top,X_161))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,X_161)),composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161))))) )],[refute_0_6579,refute_0_6582]) ).
cnf(refute_0_6584,plain,
complement(composition(top,X_161)) = composition(complement(composition(top,X_161)),complement(composition(top,X_161))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_161))),composition(top,composition(complement(composition(top,X_161)),complement(composition(top,X_161))))) )],[refute_0_6577,refute_0_6583]) ).
cnf(refute_0_6585,plain,
( complement(composition(top,X_161)) != composition(complement(composition(top,X_161)),complement(composition(top,X_161)))
| composition(complement(composition(top,X_161)),complement(composition(top,X_161))) = complement(composition(top,X_161)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(composition(top,X_161)))),bind(Y,$fot(composition(complement(composition(top,X_161)),complement(composition(top,X_161)))))]]) ).
cnf(refute_0_6586,plain,
composition(complement(composition(top,X_161)),complement(composition(top,X_161))) = complement(composition(top,X_161)),
inference(resolve,[$cnf( $equal(complement(composition(top,X_161)),composition(complement(composition(top,X_161)),complement(composition(top,X_161)))) )],[refute_0_6584,refute_0_6585]) ).
cnf(refute_0_6587,plain,
composition(complement(composition(top,complement(X_1388))),complement(composition(top,complement(X_1388)))) = complement(composition(top,complement(X_1388))),
inference(subst,[],[refute_0_6586:[bind(X_161,$fot(complement(X_1388)))]]) ).
cnf(refute_0_6588,plain,
composition(top,complement(composition(top,complement(X_1388)))) = complement(composition(top,complement(X_1388))),
inference(subst,[],[refute_0_2925:[bind(X_161,$fot(complement(X_1388)))]]) ).
cnf(refute_0_6589,plain,
composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))) = composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))]]) ).
cnf(refute_0_6590,plain,
( composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))) != composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))
| composition(top,complement(composition(top,complement(X_1388)))) != complement(composition(top,complement(X_1388)))
| composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))) = composition(complement(composition(top,complement(X_1388))),complement(composition(top,complement(X_1388)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))),composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) ),[1,1],$fot(complement(composition(top,complement(X_1388))))]]) ).
cnf(refute_0_6591,plain,
( composition(top,complement(composition(top,complement(X_1388)))) != complement(composition(top,complement(X_1388)))
| composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))) = composition(complement(composition(top,complement(X_1388))),complement(composition(top,complement(X_1388)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))),composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) )],[refute_0_6589,refute_0_6590]) ).
cnf(refute_0_6592,plain,
composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))) = composition(complement(composition(top,complement(X_1388))),complement(composition(top,complement(X_1388)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,complement(X_1388)))),complement(composition(top,complement(X_1388)))) )],[refute_0_6588,refute_0_6591]) ).
cnf(refute_0_6593,plain,
( composition(complement(composition(top,complement(X_1388))),complement(composition(top,complement(X_1388)))) != complement(composition(top,complement(X_1388)))
| composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))) != composition(complement(composition(top,complement(X_1388))),complement(composition(top,complement(X_1388))))
| composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))) = complement(composition(top,complement(X_1388))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))),bind(Y,$fot(composition(complement(composition(top,complement(X_1388))),complement(composition(top,complement(X_1388)))))),bind(Z,$fot(complement(composition(top,complement(X_1388)))))]]) ).
cnf(refute_0_6594,plain,
( composition(complement(composition(top,complement(X_1388))),complement(composition(top,complement(X_1388)))) != complement(composition(top,complement(X_1388)))
| composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))) = complement(composition(top,complement(X_1388))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))),composition(complement(composition(top,complement(X_1388))),complement(composition(top,complement(X_1388))))) )],[refute_0_6592,refute_0_6593]) ).
cnf(refute_0_6595,plain,
composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))) = complement(composition(top,complement(X_1388))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(X_1388))),complement(composition(top,complement(X_1388)))),complement(composition(top,complement(X_1388)))) )],[refute_0_6587,refute_0_6594]) ).
cnf(refute_0_6596,plain,
complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) = complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))),
introduced(tautology,[refl,[$fot(complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))]]) ).
cnf(refute_0_6597,plain,
( complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) != complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))
| composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))) != complement(composition(top,complement(X_1388)))
| complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) = complement(complement(composition(top,complement(X_1388)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))) ),[1,0],$fot(complement(composition(top,complement(X_1388))))]]) ).
cnf(refute_0_6598,plain,
( composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))) != complement(composition(top,complement(X_1388)))
| complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) = complement(complement(composition(top,complement(X_1388)))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))) )],[refute_0_6596,refute_0_6597]) ).
cnf(refute_0_6599,plain,
complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) = complement(complement(composition(top,complement(X_1388)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))),complement(composition(top,complement(X_1388)))) )],[refute_0_6595,refute_0_6598]) ).
cnf(refute_0_6600,plain,
( complement(complement(composition(top,complement(X_1388)))) != composition(top,complement(X_1388))
| complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) != complement(complement(composition(top,complement(X_1388))))
| complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) = composition(top,complement(X_1388)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))),bind(Y,$fot(complement(complement(composition(top,complement(X_1388)))))),bind(Z,$fot(composition(top,complement(X_1388))))]]) ).
cnf(refute_0_6601,plain,
( complement(complement(composition(top,complement(X_1388)))) != composition(top,complement(X_1388))
| complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) = composition(top,complement(X_1388)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))),complement(complement(composition(top,complement(X_1388))))) )],[refute_0_6599,refute_0_6600]) ).
cnf(refute_0_6602,plain,
complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) = composition(top,complement(X_1388)),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,complement(X_1388)))),composition(top,complement(X_1388))) )],[refute_0_6573,refute_0_6601]) ).
cnf(refute_0_6603,plain,
join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))) = join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))),
introduced(tautology,[refl,[$fot(join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))))]]) ).
cnf(refute_0_6604,plain,
( complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) != composition(top,complement(X_1388))
| join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))) != join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))
| join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))) = join(composition(X_1388,top),composition(top,complement(X_1388))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))),join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))) ),[1,1],$fot(composition(top,complement(X_1388)))]]) ).
cnf(refute_0_6605,plain,
( complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))) != composition(top,complement(X_1388))
| join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))) = join(composition(X_1388,top),composition(top,complement(X_1388))) ),
inference(resolve,[$cnf( $equal(join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))),join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))) )],[refute_0_6603,refute_0_6604]) ).
cnf(refute_0_6606,plain,
join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))) = join(composition(X_1388,top),composition(top,complement(X_1388))),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))),composition(top,complement(X_1388))) )],[refute_0_6602,refute_0_6605]) ).
cnf(refute_0_6607,plain,
( join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))) != join(composition(X_1388,top),composition(top,complement(X_1388)))
| top != join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))
| top = join(composition(X_1388,top),composition(top,complement(X_1388))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))) ),[1],$fot(join(composition(X_1388,top),composition(top,complement(X_1388))))]]) ).
cnf(refute_0_6608,plain,
( top != join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))
| top = join(composition(X_1388,top),composition(top,complement(X_1388))) ),
inference(resolve,[$cnf( $equal(join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388))))))),join(composition(X_1388,top),composition(top,complement(X_1388)))) )],[refute_0_6606,refute_0_6607]) ).
cnf(refute_0_6609,plain,
top = join(composition(X_1388,top),composition(top,complement(X_1388))),
inference(resolve,[$cnf( $equal(top,join(composition(X_1388,top),complement(composition(complement(composition(top,complement(X_1388))),composition(top,complement(composition(top,complement(X_1388)))))))) )],[refute_0_6572,refute_0_6608]) ).
cnf(refute_0_6610,plain,
top = join(composition(complement(X_25),top),composition(top,complement(complement(X_25)))),
inference(subst,[],[refute_0_6609:[bind(X_1388,$fot(complement(X_25)))]]) ).
cnf(refute_0_6611,plain,
( complement(complement(X_25)) != X_25
| top != join(composition(complement(X_25),top),composition(top,complement(complement(X_25))))
| top = join(composition(complement(X_25),top),composition(top,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(composition(complement(X_25),top),composition(top,complement(complement(X_25))))) ),[1,1,1],$fot(X_25)]]) ).
cnf(refute_0_6612,plain,
( top != join(composition(complement(X_25),top),composition(top,complement(complement(X_25))))
| top = join(composition(complement(X_25),top),composition(top,X_25)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_6611]) ).
cnf(refute_0_6613,plain,
top = join(composition(complement(X_25),top),composition(top,X_25)),
inference(resolve,[$cnf( $equal(top,join(composition(complement(X_25),top),composition(top,complement(complement(X_25))))) )],[refute_0_6610,refute_0_6612]) ).
cnf(refute_0_6614,plain,
join(composition(complement(X_25),top),composition(top,X_25)) = join(composition(top,X_25),composition(complement(X_25),top)),
inference(subst,[],[refute_0_140:[bind(X_119,$fot(composition(top,X_25))),bind(X_120,$fot(composition(complement(X_25),top)))]]) ).
cnf(refute_0_6615,plain,
( join(composition(complement(X_25),top),composition(top,X_25)) != join(composition(top,X_25),composition(complement(X_25),top))
| top != join(composition(complement(X_25),top),composition(top,X_25))
| top = join(composition(top,X_25),composition(complement(X_25),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(composition(complement(X_25),top),composition(top,X_25))) ),[1],$fot(join(composition(top,X_25),composition(complement(X_25),top)))]]) ).
cnf(refute_0_6616,plain,
( top != join(composition(complement(X_25),top),composition(top,X_25))
| top = join(composition(top,X_25),composition(complement(X_25),top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(X_25),top),composition(top,X_25)),join(composition(top,X_25),composition(complement(X_25),top))) )],[refute_0_6614,refute_0_6615]) ).
cnf(refute_0_6617,plain,
top = join(composition(top,X_25),composition(complement(X_25),top)),
inference(resolve,[$cnf( $equal(top,join(composition(complement(X_25),top),composition(top,X_25))) )],[refute_0_6613,refute_0_6616]) ).
cnf(refute_0_6618,plain,
top = join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),top)),
inference(subst,[],[refute_0_6617:[bind(X_25,$fot(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))]]) ).
cnf(refute_0_6619,plain,
( complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != zero
| top != join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),top))
| top = join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),top))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_6620,plain,
( top != join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),top))
| top = join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top)) ),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),zero) )],[refute_0_6310,refute_0_6619]) ).
cnf(refute_0_6621,plain,
top = join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top)),
inference(resolve,[$cnf( $equal(top,join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(complement(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),top))) )],[refute_0_6618,refute_0_6620]) ).
cnf(refute_0_6622,plain,
join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))]]) ).
cnf(refute_0_6623,plain,
composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),
inference(subst,[],[refute_0_2895:[bind(C,$fot(complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))]]) ).
cnf(refute_0_6624,plain,
join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),
introduced(tautology,[refl,[$fot(join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))]]) ).
cnf(refute_0_6625,plain,
( composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))
| join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))) ),[1,1],$fot(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))]]) ).
cnf(refute_0_6626,plain,
( composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))) )],[refute_0_6624,refute_0_6625]) ).
cnf(refute_0_6627,plain,
join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),
inference(resolve,[$cnf( $equal(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) )],[refute_0_6623,refute_0_6626]) ).
cnf(refute_0_6628,plain,
join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),
introduced(tautology,[refl,[$fot(join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))]]) ).
cnf(refute_0_6629,plain,
( composition(zero,top) != zero
| join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))
| join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6630,plain,
( composition(zero,top) != zero
| join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))) )],[refute_0_6628,refute_0_6629]) ).
cnf(refute_0_6631,plain,
join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),
inference(resolve,[$cnf( $equal(composition(zero,top),zero) )],[refute_0_2863,refute_0_6630]) ).
cnf(refute_0_6632,plain,
( join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))
| join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))),bind(Y,$fot(join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))),bind(Z,$fot(join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))]]) ).
cnf(refute_0_6633,plain,
( join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))) )],[refute_0_6631,refute_0_6632]) ).
cnf(refute_0_6634,plain,
join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),
inference(resolve,[$cnf( $equal(join(zero,composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) )],[refute_0_6627,refute_0_6633]) ).
cnf(refute_0_6635,plain,
( join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))
| join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))),bind(Y,$fot(join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))),bind(Z,$fot(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))]]) ).
cnf(refute_0_6636,plain,
( join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) != composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) )],[refute_0_6634,refute_0_6635]) ).
cnf(refute_0_6637,plain,
join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) )],[refute_0_6622,refute_0_6636]) ).
cnf(refute_0_6638,plain,
join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) = join(join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188)))),C),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(meet(X_1188,complement(X_1187)))),bind(B,$fot(meet(X_1188,join(X_1187,complement(X_1188)))))]]) ).
cnf(refute_0_6639,plain,
X_41 = join(meet(X_41,join(X_119,X_120)),complement(join(join(X_119,X_120),complement(X_41)))),
inference(subst,[],[refute_0_391:[bind(X_42,$fot(join(X_119,X_120)))]]) ).
cnf(refute_0_6640,plain,
join(X_119,join(X_120,complement(X_41))) = join(join(X_119,X_120),complement(X_41)),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(X_119)),bind(B,$fot(X_120)),bind(C,$fot(complement(X_41)))]]) ).
cnf(refute_0_6641,plain,
( join(X_119,join(X_120,complement(X_41))) != join(join(X_119,X_120),complement(X_41))
| join(join(X_119,X_120),complement(X_41)) = join(X_119,join(X_120,complement(X_41))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_119,join(X_120,complement(X_41))))),bind(Y,$fot(join(join(X_119,X_120),complement(X_41))))]]) ).
cnf(refute_0_6642,plain,
join(join(X_119,X_120),complement(X_41)) = join(X_119,join(X_120,complement(X_41))),
inference(resolve,[$cnf( $equal(join(X_119,join(X_120,complement(X_41))),join(join(X_119,X_120),complement(X_41))) )],[refute_0_6640,refute_0_6641]) ).
cnf(refute_0_6643,plain,
( X_41 != join(meet(X_41,join(X_119,X_120)),complement(join(join(X_119,X_120),complement(X_41))))
| join(join(X_119,X_120),complement(X_41)) != join(X_119,join(X_120,complement(X_41)))
| X_41 = join(meet(X_41,join(X_119,X_120)),complement(join(X_119,join(X_120,complement(X_41))))) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,join(X_119,X_120)),complement(join(join(X_119,X_120),complement(X_41))))) ),[1,1,0],$fot(join(X_119,join(X_120,complement(X_41))))]]) ).
cnf(refute_0_6644,plain,
( X_41 != join(meet(X_41,join(X_119,X_120)),complement(join(join(X_119,X_120),complement(X_41))))
| X_41 = join(meet(X_41,join(X_119,X_120)),complement(join(X_119,join(X_120,complement(X_41))))) ),
inference(resolve,[$cnf( $equal(join(join(X_119,X_120),complement(X_41)),join(X_119,join(X_120,complement(X_41)))) )],[refute_0_6642,refute_0_6643]) ).
cnf(refute_0_6645,plain,
X_41 = join(meet(X_41,join(X_119,X_120)),complement(join(X_119,join(X_120,complement(X_41))))),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,join(X_119,X_120)),complement(join(join(X_119,X_120),complement(X_41))))) )],[refute_0_6639,refute_0_6644]) ).
cnf(refute_0_6646,plain,
X_865 = join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(join(X_864,complement(X_865)),join(X_864,complement(X_865))))),
inference(subst,[],[refute_0_6645:[bind(X_119,$fot(join(X_864,complement(X_865)))),bind(X_120,$fot(X_864)),bind(X_41,$fot(X_865))]]) ).
cnf(refute_0_6647,plain,
join(join(X_864,complement(X_865)),join(X_864,complement(X_865))) = join(X_864,complement(X_865)),
inference(subst,[],[refute_0_1239:[bind(X_139,$fot(join(X_864,complement(X_865))))]]) ).
cnf(refute_0_6648,plain,
( X_865 != join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(join(X_864,complement(X_865)),join(X_864,complement(X_865)))))
| join(join(X_864,complement(X_865)),join(X_864,complement(X_865))) != join(X_864,complement(X_865))
| X_865 = join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_865,join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(join(X_864,complement(X_865)),join(X_864,complement(X_865)))))) ),[1,1,0],$fot(join(X_864,complement(X_865)))]]) ).
cnf(refute_0_6649,plain,
( X_865 != join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(join(X_864,complement(X_865)),join(X_864,complement(X_865)))))
| X_865 = join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))) ),
inference(resolve,[$cnf( $equal(join(join(X_864,complement(X_865)),join(X_864,complement(X_865))),join(X_864,complement(X_865))) )],[refute_0_6647,refute_0_6648]) ).
cnf(refute_0_6650,plain,
X_865 = join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))),
inference(resolve,[$cnf( $equal(X_865,join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(join(X_864,complement(X_865)),join(X_864,complement(X_865)))))) )],[refute_0_6646,refute_0_6649]) ).
cnf(refute_0_6651,plain,
join(X_864,join(X_864,complement(X_865))) = join(X_864,complement(X_865)),
inference(subst,[],[refute_0_5886:[bind(B,$fot(X_864)),bind(C,$fot(complement(X_865)))]]) ).
cnf(refute_0_6652,plain,
join(join(X_864,complement(X_865)),X_864) = join(X_864,join(X_864,complement(X_865))),
inference(subst,[],[refute_0_140:[bind(X_119,$fot(X_864)),bind(X_120,$fot(join(X_864,complement(X_865))))]]) ).
cnf(refute_0_6653,plain,
( join(X_864,join(X_864,complement(X_865))) != join(X_864,complement(X_865))
| join(join(X_864,complement(X_865)),X_864) != join(X_864,join(X_864,complement(X_865)))
| join(join(X_864,complement(X_865)),X_864) = join(X_864,complement(X_865)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(X_864,complement(X_865)),X_864))),bind(Y,$fot(join(X_864,join(X_864,complement(X_865))))),bind(Z,$fot(join(X_864,complement(X_865))))]]) ).
cnf(refute_0_6654,plain,
( join(X_864,join(X_864,complement(X_865))) != join(X_864,complement(X_865))
| join(join(X_864,complement(X_865)),X_864) = join(X_864,complement(X_865)) ),
inference(resolve,[$cnf( $equal(join(join(X_864,complement(X_865)),X_864),join(X_864,join(X_864,complement(X_865)))) )],[refute_0_6652,refute_0_6653]) ).
cnf(refute_0_6655,plain,
join(join(X_864,complement(X_865)),X_864) = join(X_864,complement(X_865)),
inference(resolve,[$cnf( $equal(join(X_864,join(X_864,complement(X_865))),join(X_864,complement(X_865))) )],[refute_0_6651,refute_0_6654]) ).
cnf(refute_0_6656,plain,
meet(X_865,join(join(X_864,complement(X_865)),X_864)) = meet(X_865,join(join(X_864,complement(X_865)),X_864)),
introduced(tautology,[refl,[$fot(meet(X_865,join(join(X_864,complement(X_865)),X_864)))]]) ).
cnf(refute_0_6657,plain,
( join(join(X_864,complement(X_865)),X_864) != join(X_864,complement(X_865))
| meet(X_865,join(join(X_864,complement(X_865)),X_864)) != meet(X_865,join(join(X_864,complement(X_865)),X_864))
| meet(X_865,join(join(X_864,complement(X_865)),X_864)) = meet(X_865,join(X_864,complement(X_865))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_865,join(join(X_864,complement(X_865)),X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))) ),[1,1],$fot(join(X_864,complement(X_865)))]]) ).
cnf(refute_0_6658,plain,
( join(join(X_864,complement(X_865)),X_864) != join(X_864,complement(X_865))
| meet(X_865,join(join(X_864,complement(X_865)),X_864)) = meet(X_865,join(X_864,complement(X_865))) ),
inference(resolve,[$cnf( $equal(meet(X_865,join(join(X_864,complement(X_865)),X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))) )],[refute_0_6656,refute_0_6657]) ).
cnf(refute_0_6659,plain,
meet(X_865,join(join(X_864,complement(X_865)),X_864)) = meet(X_865,join(X_864,complement(X_865))),
inference(resolve,[$cnf( $equal(join(join(X_864,complement(X_865)),X_864),join(X_864,complement(X_865))) )],[refute_0_6655,refute_0_6658]) ).
cnf(refute_0_6660,plain,
join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))) = join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))),
introduced(tautology,[refl,[$fot(join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))))]]) ).
cnf(refute_0_6661,plain,
( join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))) != join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864)))
| meet(X_865,join(join(X_864,complement(X_865)),X_864)) != meet(X_865,join(X_864,complement(X_865)))
| join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))) = join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))),join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864)))) ),[1,1],$fot(meet(X_865,join(X_864,complement(X_865))))]]) ).
cnf(refute_0_6662,plain,
( meet(X_865,join(join(X_864,complement(X_865)),X_864)) != meet(X_865,join(X_864,complement(X_865)))
| join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))) = join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))),join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864)))) )],[refute_0_6660,refute_0_6661]) ).
cnf(refute_0_6663,plain,
join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))) = join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865)))),
inference(resolve,[$cnf( $equal(meet(X_865,join(join(X_864,complement(X_865)),X_864)),meet(X_865,join(X_864,complement(X_865)))) )],[refute_0_6659,refute_0_6662]) ).
cnf(refute_0_6664,plain,
complement(join(X_864,complement(X_865))) = meet(X_865,complement(X_864)),
inference(subst,[],[refute_0_5692:[bind(X_614,$fot(X_865)),bind(X_615,$fot(X_864))]]) ).
cnf(refute_0_6665,plain,
join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))) = join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))),
introduced(tautology,[refl,[$fot(join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))))]]) ).
cnf(refute_0_6666,plain,
( complement(join(X_864,complement(X_865))) != meet(X_865,complement(X_864))
| join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))) != join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864)))
| join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))) = join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))),join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864)))) ),[1,0],$fot(meet(X_865,complement(X_864)))]]) ).
cnf(refute_0_6667,plain,
( complement(join(X_864,complement(X_865))) != meet(X_865,complement(X_864))
| join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))) = join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))),join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864)))) )],[refute_0_6665,refute_0_6666]) ).
cnf(refute_0_6668,plain,
join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))) = join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))),
inference(resolve,[$cnf( $equal(complement(join(X_864,complement(X_865))),meet(X_865,complement(X_864))) )],[refute_0_6664,refute_0_6667]) ).
cnf(refute_0_6669,plain,
( join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))) != join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864)))
| join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))) != join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865))))
| join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))) = join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))))),bind(Y,$fot(join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))))),bind(Z,$fot(join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865))))))]]) ).
cnf(refute_0_6670,plain,
( join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))) != join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865))))
| join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))) = join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))),join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864)))) )],[refute_0_6668,refute_0_6669]) ).
cnf(refute_0_6671,plain,
join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))) = join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865)))),
inference(resolve,[$cnf( $equal(join(meet(X_865,complement(X_864)),meet(X_865,join(join(X_864,complement(X_865)),X_864))),join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865))))) )],[refute_0_6663,refute_0_6670]) ).
cnf(refute_0_6672,plain,
join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))) = join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))),
inference(subst,[],[refute_0_140:[bind(X_119,$fot(complement(join(X_864,complement(X_865))))),bind(X_120,$fot(meet(X_865,join(join(X_864,complement(X_865)),X_864))))]]) ).
cnf(refute_0_6673,plain,
( join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))) != join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865))))
| join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))) != join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864)))
| join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))) = join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))))),bind(Y,$fot(join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))))),bind(Z,$fot(join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865))))))]]) ).
cnf(refute_0_6674,plain,
( join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))) != join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865))))
| join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))) = join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))),join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864)))) )],[refute_0_6672,refute_0_6673]) ).
cnf(refute_0_6675,plain,
join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))) = join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865)))),
inference(resolve,[$cnf( $equal(join(complement(join(X_864,complement(X_865))),meet(X_865,join(join(X_864,complement(X_865)),X_864))),join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865))))) )],[refute_0_6671,refute_0_6674]) ).
cnf(refute_0_6676,plain,
( X_865 != join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865))))
| join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))) != join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865))))
| X_865 = join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_865,join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865))))) ),[0],$fot(join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))))]]) ).
cnf(refute_0_6677,plain,
( X_865 != join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865))))
| X_865 = join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865)))),join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865))))) )],[refute_0_6675,refute_0_6676]) ).
cnf(refute_0_6678,plain,
X_865 = join(meet(X_865,complement(X_864)),meet(X_865,join(X_864,complement(X_865)))),
inference(resolve,[$cnf( $equal(X_865,join(meet(X_865,join(join(X_864,complement(X_865)),X_864)),complement(join(X_864,complement(X_865))))) )],[refute_0_6650,refute_0_6677]) ).
cnf(refute_0_6679,plain,
X_1188 = join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188)))),
inference(subst,[],[refute_0_6678:[bind(X_864,$fot(X_1187)),bind(X_865,$fot(X_1188))]]) ).
cnf(refute_0_6680,plain,
( X_1188 != join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188))))
| join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188)))) = X_1188 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_1188)),bind(Y,$fot(join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188))))))]]) ).
cnf(refute_0_6681,plain,
join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188)))) = X_1188,
inference(resolve,[$cnf( $equal(X_1188,join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188))))) )],[refute_0_6679,refute_0_6680]) ).
cnf(refute_0_6682,plain,
( join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) != join(join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188)))),C)
| join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188)))) != X_1188
| join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) = join(X_1188,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)),join(join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188)))),C)) ),[1,0],$fot(X_1188)]]) ).
cnf(refute_0_6683,plain,
( join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) != join(join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188)))),C)
| join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) = join(X_1188,C) ),
inference(resolve,[$cnf( $equal(join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188)))),X_1188) )],[refute_0_6681,refute_0_6682]) ).
cnf(refute_0_6684,plain,
join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) = join(X_1188,C),
inference(resolve,[$cnf( $equal(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)),join(join(meet(X_1188,complement(X_1187)),meet(X_1188,join(X_1187,complement(X_1188)))),C)) )],[refute_0_6638,refute_0_6683]) ).
cnf(refute_0_6685,plain,
join(X_298,join(meet(X_41,B),meet(X_41,complement(B)))) = join(meet(X_41,B),join(X_298,meet(X_41,complement(B)))),
inference(subst,[],[refute_0_151:[bind(X_119,$fot(X_298)),bind(X_120,$fot(meet(X_41,B))),bind(X_121,$fot(meet(X_41,complement(B))))]]) ).
cnf(refute_0_6686,plain,
( X_41 != join(meet(X_41,B),meet(X_41,complement(B)))
| join(meet(X_41,B),meet(X_41,complement(B))) = X_41 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_41)),bind(Y,$fot(join(meet(X_41,B),meet(X_41,complement(B)))))]]) ).
cnf(refute_0_6687,plain,
join(meet(X_41,B),meet(X_41,complement(B))) = X_41,
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,B),meet(X_41,complement(B)))) )],[refute_0_180,refute_0_6686]) ).
cnf(refute_0_6688,plain,
( join(X_298,join(meet(X_41,B),meet(X_41,complement(B)))) != join(meet(X_41,B),join(X_298,meet(X_41,complement(B))))
| join(meet(X_41,B),meet(X_41,complement(B))) != X_41
| join(X_298,X_41) = join(meet(X_41,B),join(X_298,meet(X_41,complement(B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_298,join(meet(X_41,B),meet(X_41,complement(B)))),join(meet(X_41,B),join(X_298,meet(X_41,complement(B))))) ),[0,1],$fot(X_41)]]) ).
cnf(refute_0_6689,plain,
( join(X_298,join(meet(X_41,B),meet(X_41,complement(B)))) != join(meet(X_41,B),join(X_298,meet(X_41,complement(B))))
| join(X_298,X_41) = join(meet(X_41,B),join(X_298,meet(X_41,complement(B)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,B),meet(X_41,complement(B))),X_41) )],[refute_0_6687,refute_0_6688]) ).
cnf(refute_0_6690,plain,
join(X_298,X_41) = join(meet(X_41,B),join(X_298,meet(X_41,complement(B)))),
inference(resolve,[$cnf( $equal(join(X_298,join(meet(X_41,B),meet(X_41,complement(B)))),join(meet(X_41,B),join(X_298,meet(X_41,complement(B))))) )],[refute_0_6685,refute_0_6689]) ).
cnf(refute_0_6691,plain,
( join(X_298,X_41) != join(meet(X_41,B),join(X_298,meet(X_41,complement(B))))
| join(meet(X_41,B),join(X_298,meet(X_41,complement(B)))) = join(X_298,X_41) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_298,X_41))),bind(Y,$fot(join(meet(X_41,B),join(X_298,meet(X_41,complement(B))))))]]) ).
cnf(refute_0_6692,plain,
join(meet(X_41,B),join(X_298,meet(X_41,complement(B)))) = join(X_298,X_41),
inference(resolve,[$cnf( $equal(join(X_298,X_41),join(meet(X_41,B),join(X_298,meet(X_41,complement(B))))) )],[refute_0_6690,refute_0_6691]) ).
cnf(refute_0_6693,plain,
join(meet(X_1188,X_1187),join(C,meet(X_1188,complement(X_1187)))) = join(C,X_1188),
inference(subst,[],[refute_0_6692:[bind(B,$fot(X_1187)),bind(X_298,$fot(C)),bind(X_41,$fot(X_1188))]]) ).
cnf(refute_0_6694,plain,
join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)) = join(meet(X_1188,X_1187),join(C,meet(X_1188,complement(X_1187)))),
inference(subst,[],[refute_0_6358:[bind(A,$fot(meet(X_1188,complement(X_1187)))),bind(B,$fot(meet(X_1188,X_1187))),bind(X_1571,$fot(C))]]) ).
cnf(refute_0_6695,plain,
( join(meet(X_1188,X_1187),join(C,meet(X_1188,complement(X_1187)))) != join(C,X_1188)
| join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)) != join(meet(X_1188,X_1187),join(C,meet(X_1188,complement(X_1187))))
| join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)) = join(C,X_1188) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)))),bind(Y,$fot(join(meet(X_1188,X_1187),join(C,meet(X_1188,complement(X_1187)))))),bind(Z,$fot(join(C,X_1188)))]]) ).
cnf(refute_0_6696,plain,
( join(meet(X_1188,X_1187),join(C,meet(X_1188,complement(X_1187)))) != join(C,X_1188)
| join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)) = join(C,X_1188) ),
inference(resolve,[$cnf( $equal(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)),join(meet(X_1188,X_1187),join(C,meet(X_1188,complement(X_1187))))) )],[refute_0_6694,refute_0_6695]) ).
cnf(refute_0_6697,plain,
join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)) = join(C,X_1188),
inference(resolve,[$cnf( $equal(join(meet(X_1188,X_1187),join(C,meet(X_1188,complement(X_1187)))),join(C,X_1188)) )],[refute_0_6693,refute_0_6696]) ).
cnf(refute_0_6698,plain,
meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) = complement(join(complement(join(X_687,X_686)),meet(complement(X_687),X_686))),
inference(subst,[],[refute_0_1834:[bind(X_361,$fot(join(X_687,X_686))),bind(X_363,$fot(meet(complement(X_687),X_686)))]]) ).
cnf(refute_0_6699,plain,
complement(X_687) = join(complement(join(X_687,X_686)),meet(complement(X_687),X_686)),
inference(subst,[],[refute_0_5473:[bind(B,$fot(X_686)),bind(X_213,$fot(X_687))]]) ).
cnf(refute_0_6700,plain,
( complement(X_687) != join(complement(join(X_687,X_686)),meet(complement(X_687),X_686))
| join(complement(join(X_687,X_686)),meet(complement(X_687),X_686)) = complement(X_687) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(complement(X_687))),bind(Y,$fot(join(complement(join(X_687,X_686)),meet(complement(X_687),X_686))))]]) ).
cnf(refute_0_6701,plain,
join(complement(join(X_687,X_686)),meet(complement(X_687),X_686)) = complement(X_687),
inference(resolve,[$cnf( $equal(complement(X_687),join(complement(join(X_687,X_686)),meet(complement(X_687),X_686))) )],[refute_0_6699,refute_0_6700]) ).
cnf(refute_0_6702,plain,
( join(complement(join(X_687,X_686)),meet(complement(X_687),X_686)) != complement(X_687)
| meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) != complement(join(complement(join(X_687,X_686)),meet(complement(X_687),X_686)))
| meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) = complement(complement(X_687)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))),complement(join(complement(join(X_687,X_686)),meet(complement(X_687),X_686)))) ),[1,0],$fot(complement(X_687))]]) ).
cnf(refute_0_6703,plain,
( meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) != complement(join(complement(join(X_687,X_686)),meet(complement(X_687),X_686)))
| meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) = complement(complement(X_687)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_687,X_686)),meet(complement(X_687),X_686)),complement(X_687)) )],[refute_0_6701,refute_0_6702]) ).
cnf(refute_0_6704,plain,
meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) = complement(complement(X_687)),
inference(resolve,[$cnf( $equal(meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))),complement(join(complement(join(X_687,X_686)),meet(complement(X_687),X_686)))) )],[refute_0_6698,refute_0_6703]) ).
cnf(refute_0_6705,plain,
complement(complement(X_687)) = X_687,
inference(subst,[],[refute_0_931:[bind(X_25,$fot(X_687))]]) ).
cnf(refute_0_6706,plain,
( complement(complement(X_687)) != X_687
| meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) != complement(complement(X_687))
| meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) = X_687 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))),complement(complement(X_687))) ),[1],$fot(X_687)]]) ).
cnf(refute_0_6707,plain,
( meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) != complement(complement(X_687))
| meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) = X_687 ),
inference(resolve,[$cnf( $equal(complement(complement(X_687)),X_687) )],[refute_0_6705,refute_0_6706]) ).
cnf(refute_0_6708,plain,
meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) = X_687,
inference(resolve,[$cnf( $equal(meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))),complement(complement(X_687))) )],[refute_0_6704,refute_0_6707]) ).
cnf(refute_0_6709,plain,
complement(meet(complement(X_687),X_686)) = join(complement(X_686),X_687),
inference(subst,[],[refute_0_2702:[bind(X_716,$fot(X_686)),bind(X_717,$fot(X_687))]]) ).
cnf(refute_0_6710,plain,
meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) = meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))),
introduced(tautology,[refl,[$fot(meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))))]]) ).
cnf(refute_0_6711,plain,
( complement(meet(complement(X_687),X_686)) != join(complement(X_686),X_687)
| meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) != meet(join(X_687,X_686),complement(meet(complement(X_687),X_686)))
| meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) = meet(join(X_687,X_686),join(complement(X_686),X_687)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))),meet(join(X_687,X_686),complement(meet(complement(X_687),X_686)))) ),[1,1],$fot(join(complement(X_686),X_687))]]) ).
cnf(refute_0_6712,plain,
( complement(meet(complement(X_687),X_686)) != join(complement(X_686),X_687)
| meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) = meet(join(X_687,X_686),join(complement(X_686),X_687)) ),
inference(resolve,[$cnf( $equal(meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))),meet(join(X_687,X_686),complement(meet(complement(X_687),X_686)))) )],[refute_0_6710,refute_0_6711]) ).
cnf(refute_0_6713,plain,
meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) = meet(join(X_687,X_686),join(complement(X_686),X_687)),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_687),X_686)),join(complement(X_686),X_687)) )],[refute_0_6709,refute_0_6712]) ).
cnf(refute_0_6714,plain,
( meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) != X_687
| meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) != meet(join(X_687,X_686),join(complement(X_686),X_687))
| meet(join(X_687,X_686),join(complement(X_686),X_687)) = X_687 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))),X_687) ),[0],$fot(meet(join(X_687,X_686),join(complement(X_686),X_687)))]]) ).
cnf(refute_0_6715,plain,
( meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))) != X_687
| meet(join(X_687,X_686),join(complement(X_686),X_687)) = X_687 ),
inference(resolve,[$cnf( $equal(meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))),meet(join(X_687,X_686),join(complement(X_686),X_687))) )],[refute_0_6713,refute_0_6714]) ).
cnf(refute_0_6716,plain,
meet(join(X_687,X_686),join(complement(X_686),X_687)) = X_687,
inference(resolve,[$cnf( $equal(meet(join(X_687,X_686),complement(meet(complement(X_687),X_686))),X_687) )],[refute_0_6708,refute_0_6715]) ).
cnf(refute_0_6717,plain,
meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))) = meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),
inference(subst,[],[refute_0_6716:[bind(X_686,$fot(X_1533)),bind(X_687,$fot(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))))]]) ).
cnf(refute_0_6718,plain,
join(X_640,complement(X_1533)) = join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))),
inference(subst,[],[refute_0_2795:[bind(X_25,$fot(complement(X_1533)))]]) ).
cnf(refute_0_6719,plain,
( join(X_640,complement(X_1533)) != join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))
| join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) = join(X_640,complement(X_1533)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_640,complement(X_1533)))),bind(Y,$fot(join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))))]]) ).
cnf(refute_0_6720,plain,
join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) = join(X_640,complement(X_1533)),
inference(resolve,[$cnf( $equal(join(X_640,complement(X_1533)),join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))) )],[refute_0_6718,refute_0_6719]) ).
cnf(refute_0_6721,plain,
( join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) != join(X_640,complement(X_1533))
| meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))) != meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))
| meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))) = meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) ),[0,1],$fot(join(X_640,complement(X_1533)))]]) ).
cnf(refute_0_6722,plain,
( meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))) != meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))
| meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))) = meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) ),
inference(resolve,[$cnf( $equal(join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))),join(X_640,complement(X_1533))) )],[refute_0_6720,refute_0_6721]) ).
cnf(refute_0_6723,plain,
meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))) = meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(complement(X_1533),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) )],[refute_0_6717,refute_0_6722]) ).
cnf(refute_0_6724,plain,
meet(join(X_640,complement(X_1533)),meet(X_1533,X_640)) = meet(meet(X_1533,X_640),join(X_640,complement(X_1533))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(meet(X_1533,X_640))),bind(X_16,$fot(join(X_640,complement(X_1533))))]]) ).
cnf(refute_0_6725,plain,
complement(complement(X_1533)) = X_1533,
inference(subst,[],[refute_0_931:[bind(X_25,$fot(X_1533))]]) ).
cnf(refute_0_6726,plain,
meet(complement(complement(X_1533)),X_640) = meet(complement(complement(X_1533)),X_640),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_1533)),X_640))]]) ).
cnf(refute_0_6727,plain,
( complement(complement(X_1533)) != X_1533
| meet(complement(complement(X_1533)),X_640) != meet(complement(complement(X_1533)),X_640)
| meet(complement(complement(X_1533)),X_640) = meet(X_1533,X_640) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_1533)),X_640),meet(complement(complement(X_1533)),X_640)) ),[1,0],$fot(X_1533)]]) ).
cnf(refute_0_6728,plain,
( complement(complement(X_1533)) != X_1533
| meet(complement(complement(X_1533)),X_640) = meet(X_1533,X_640) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_1533)),X_640),meet(complement(complement(X_1533)),X_640)) )],[refute_0_6726,refute_0_6727]) ).
cnf(refute_0_6729,plain,
meet(complement(complement(X_1533)),X_640) = meet(X_1533,X_640),
inference(resolve,[$cnf( $equal(complement(complement(X_1533)),X_1533) )],[refute_0_6725,refute_0_6728]) ).
cnf(refute_0_6730,plain,
meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) = meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),
introduced(tautology,[refl,[$fot(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))]]) ).
cnf(refute_0_6731,plain,
( meet(complement(complement(X_1533)),X_640) != meet(X_1533,X_640)
| meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) != meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))
| meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) = meet(join(X_640,complement(X_1533)),meet(X_1533,X_640)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) ),[1,1],$fot(meet(X_1533,X_640))]]) ).
cnf(refute_0_6732,plain,
( meet(complement(complement(X_1533)),X_640) != meet(X_1533,X_640)
| meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) = meet(join(X_640,complement(X_1533)),meet(X_1533,X_640)) ),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) )],[refute_0_6730,refute_0_6731]) ).
cnf(refute_0_6733,plain,
meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) = meet(join(X_640,complement(X_1533)),meet(X_1533,X_640)),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_1533)),X_640),meet(X_1533,X_640)) )],[refute_0_6729,refute_0_6732]) ).
cnf(refute_0_6734,plain,
( meet(join(X_640,complement(X_1533)),meet(X_1533,X_640)) != meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))
| meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) != meet(join(X_640,complement(X_1533)),meet(X_1533,X_640))
| meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) = meet(meet(X_1533,X_640),join(X_640,complement(X_1533))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))),bind(Y,$fot(meet(join(X_640,complement(X_1533)),meet(X_1533,X_640)))),bind(Z,$fot(meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))]]) ).
cnf(refute_0_6735,plain,
( meet(join(X_640,complement(X_1533)),meet(X_1533,X_640)) != meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))
| meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) = meet(meet(X_1533,X_640),join(X_640,complement(X_1533))) ),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),meet(join(X_640,complement(X_1533)),meet(X_1533,X_640))) )],[refute_0_6733,refute_0_6734]) ).
cnf(refute_0_6736,plain,
meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) = meet(meet(X_1533,X_640),join(X_640,complement(X_1533))),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),meet(X_1533,X_640)),meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) )],[refute_0_6724,refute_0_6735]) ).
cnf(refute_0_6737,plain,
join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) = join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))),
introduced(tautology,[refl,[$fot(join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))))]]) ).
cnf(refute_0_6738,plain,
( join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) != join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))
| meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) != meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))
| join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) = join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))),join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))) ),[1,1],$fot(meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))]]) ).
cnf(refute_0_6739,plain,
( meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) != meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))
| join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) = join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) ),
inference(resolve,[$cnf( $equal(join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))),join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))) )],[refute_0_6737,refute_0_6738]) ).
cnf(refute_0_6740,plain,
join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) = join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) )],[refute_0_6736,refute_0_6739]) ).
cnf(refute_0_6741,plain,
join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533) = join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))),
inference(subst,[],[refute_0_140:[bind(X_119,$fot(X_1533)),bind(X_120,$fot(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))))]]) ).
cnf(refute_0_6742,plain,
( join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) != join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))
| join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533) != join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))
| join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533) = join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533))),bind(Y,$fot(join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))))),bind(Z,$fot(join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))))]]) ).
cnf(refute_0_6743,plain,
( join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) != join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))
| join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533) = join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))) )],[refute_0_6741,refute_0_6742]) ).
cnf(refute_0_6744,plain,
join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533) = join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))),
inference(resolve,[$cnf( $equal(join(X_1533,meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) )],[refute_0_6740,refute_0_6743]) ).
cnf(refute_0_6745,plain,
meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)) = meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)),
introduced(tautology,[refl,[$fot(meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)))]]) ).
cnf(refute_0_6746,plain,
( join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533) != join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))
| meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)) != meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533))
| meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)) = meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)),meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533))) ),[1,1],$fot(join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))]]) ).
cnf(refute_0_6747,plain,
( join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533) != join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))
| meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)) = meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) ),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)),meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533))) )],[refute_0_6745,refute_0_6746]) ).
cnf(refute_0_6748,plain,
meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)) = meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))),
inference(resolve,[$cnf( $equal(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) )],[refute_0_6744,refute_0_6747]) ).
cnf(refute_0_6749,plain,
meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))) = meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(join(X_640,complement(X_1533)))),bind(X_16,$fot(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)))]]) ).
cnf(refute_0_6750,plain,
( meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)) != meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))
| meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))) != meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533))
| meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))) = meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))))),bind(Y,$fot(meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)))),bind(Z,$fot(meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))))]]) ).
cnf(refute_0_6751,plain,
( meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)) != meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))
| meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))) = meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))),meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533))) )],[refute_0_6749,refute_0_6750]) ).
cnf(refute_0_6752,plain,
meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))) = meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533)),meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))) )],[refute_0_6748,refute_0_6751]) ).
cnf(refute_0_6753,plain,
( meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))) != meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))
| meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))) != meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))
| meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) ),[0],$fot(meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))))]]) ).
cnf(refute_0_6754,plain,
( meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))) != meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))
| meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))),meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))) )],[refute_0_6752,refute_0_6753]) ).
cnf(refute_0_6755,plain,
( meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) != meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))
| meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)) != meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))
| meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(meet(X_1533,X_640),join(X_640,complement(X_1533))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))),meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) ),[0],$fot(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)))]]) ).
cnf(refute_0_6756,plain,
( meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) != meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))
| meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(meet(X_1533,X_640),join(X_640,complement(X_1533))) ),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) )],[refute_0_6736,refute_0_6755]) ).
cnf(refute_0_6757,plain,
( meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))) != meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))
| meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(meet(X_1533,X_640),join(X_640,complement(X_1533))) ),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) )],[refute_0_6754,refute_0_6756]) ).
cnf(refute_0_6758,plain,
meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(meet(X_1533,X_640),join(X_640,complement(X_1533))),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640)),X_1533),join(X_640,complement(X_1533))),meet(join(X_640,complement(X_1533)),meet(complement(complement(X_1533)),X_640))) )],[refute_0_6723,refute_0_6757]) ).
cnf(refute_0_6759,plain,
meet(join(X_640,complement(X_1533)),X_1533) = meet(X_1533,join(X_640,complement(X_1533))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(X_1533)),bind(X_16,$fot(join(X_640,complement(X_1533))))]]) ).
cnf(refute_0_6760,plain,
join(X_1533,meet(X_1533,X_640)) = X_1533,
inference(subst,[],[refute_0_1904:[bind(X_51,$fot(X_640)),bind(X_52,$fot(X_1533))]]) ).
cnf(refute_0_6761,plain,
meet(meet(X_1533,X_640),join(X_640,complement(X_1533))) = meet(X_1533,X_640),
inference(subst,[],[refute_0_2996:[bind(X_1574,$fot(complement(X_1533))),bind(X_1575,$fot(X_1533)),bind(X_1576,$fot(X_640))]]) ).
cnf(refute_0_6762,plain,
join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) = join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))),
introduced(tautology,[refl,[$fot(join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))]]) ).
cnf(refute_0_6763,plain,
( join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) != join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))
| meet(meet(X_1533,X_640),join(X_640,complement(X_1533))) != meet(X_1533,X_640)
| join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) = join(X_1533,meet(X_1533,X_640)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) ),[1,1],$fot(meet(X_1533,X_640))]]) ).
cnf(refute_0_6764,plain,
( meet(meet(X_1533,X_640),join(X_640,complement(X_1533))) != meet(X_1533,X_640)
| join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) = join(X_1533,meet(X_1533,X_640)) ),
inference(resolve,[$cnf( $equal(join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) )],[refute_0_6762,refute_0_6763]) ).
cnf(refute_0_6765,plain,
join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) = join(X_1533,meet(X_1533,X_640)),
inference(resolve,[$cnf( $equal(meet(meet(X_1533,X_640),join(X_640,complement(X_1533))),meet(X_1533,X_640)) )],[refute_0_6761,refute_0_6764]) ).
cnf(refute_0_6766,plain,
( join(X_1533,meet(X_1533,X_640)) != X_1533
| join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) != join(X_1533,meet(X_1533,X_640))
| join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) = X_1533 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))),bind(Y,$fot(join(X_1533,meet(X_1533,X_640)))),bind(Z,$fot(X_1533))]]) ).
cnf(refute_0_6767,plain,
( join(X_1533,meet(X_1533,X_640)) != X_1533
| join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) = X_1533 ),
inference(resolve,[$cnf( $equal(join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))),join(X_1533,meet(X_1533,X_640))) )],[refute_0_6765,refute_0_6766]) ).
cnf(refute_0_6768,plain,
join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) = X_1533,
inference(resolve,[$cnf( $equal(join(X_1533,meet(X_1533,X_640)),X_1533) )],[refute_0_6760,refute_0_6767]) ).
cnf(refute_0_6769,plain,
meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))),
introduced(tautology,[refl,[$fot(meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))))]]) ).
cnf(refute_0_6770,plain,
( join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) != X_1533
| meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) != meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))
| meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(join(X_640,complement(X_1533)),X_1533) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))),meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))) ),[1,1],$fot(X_1533)]]) ).
cnf(refute_0_6771,plain,
( join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) != X_1533
| meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(join(X_640,complement(X_1533)),X_1533) ),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))),meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))))) )],[refute_0_6769,refute_0_6770]) ).
cnf(refute_0_6772,plain,
meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(join(X_640,complement(X_1533)),X_1533),
inference(resolve,[$cnf( $equal(join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))),X_1533) )],[refute_0_6768,refute_0_6771]) ).
cnf(refute_0_6773,plain,
( meet(join(X_640,complement(X_1533)),X_1533) != meet(X_1533,join(X_640,complement(X_1533)))
| meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) != meet(join(X_640,complement(X_1533)),X_1533)
| meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(X_1533,join(X_640,complement(X_1533))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))))),bind(Y,$fot(meet(join(X_640,complement(X_1533)),X_1533))),bind(Z,$fot(meet(X_1533,join(X_640,complement(X_1533)))))]]) ).
cnf(refute_0_6774,plain,
( meet(join(X_640,complement(X_1533)),X_1533) != meet(X_1533,join(X_640,complement(X_1533)))
| meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(X_1533,join(X_640,complement(X_1533))) ),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))),meet(join(X_640,complement(X_1533)),X_1533)) )],[refute_0_6772,refute_0_6773]) ).
cnf(refute_0_6775,plain,
meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) = meet(X_1533,join(X_640,complement(X_1533))),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),X_1533),meet(X_1533,join(X_640,complement(X_1533)))) )],[refute_0_6759,refute_0_6774]) ).
cnf(refute_0_6776,plain,
( meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) != meet(X_1533,join(X_640,complement(X_1533)))
| meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) != meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))
| meet(X_1533,join(X_640,complement(X_1533))) = meet(meet(X_1533,X_640),join(X_640,complement(X_1533))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))),meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) ),[0],$fot(meet(X_1533,join(X_640,complement(X_1533))))]]) ).
cnf(refute_0_6777,plain,
( meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) != meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))
| meet(X_1533,join(X_640,complement(X_1533))) = meet(meet(X_1533,X_640),join(X_640,complement(X_1533))) ),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))),meet(X_1533,join(X_640,complement(X_1533)))) )],[refute_0_6775,refute_0_6776]) ).
cnf(refute_0_6778,plain,
( meet(X_1533,join(X_640,complement(X_1533))) != meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))
| meet(meet(X_1533,X_640),join(X_640,complement(X_1533))) != meet(X_1533,X_640)
| meet(X_1533,join(X_640,complement(X_1533))) = meet(X_1533,X_640) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_1533,join(X_640,complement(X_1533))),meet(X_1533,X_640)) ),[0],$fot(meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))]]) ).
cnf(refute_0_6779,plain,
( meet(X_1533,join(X_640,complement(X_1533))) != meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))
| meet(X_1533,join(X_640,complement(X_1533))) = meet(X_1533,X_640) ),
inference(resolve,[$cnf( $equal(meet(meet(X_1533,X_640),join(X_640,complement(X_1533))),meet(X_1533,X_640)) )],[refute_0_6761,refute_0_6778]) ).
cnf(refute_0_6780,plain,
( meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))) != meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))
| meet(X_1533,join(X_640,complement(X_1533))) = meet(X_1533,X_640) ),
inference(resolve,[$cnf( $equal(meet(X_1533,join(X_640,complement(X_1533))),meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) )],[refute_0_6777,refute_0_6779]) ).
cnf(refute_0_6781,plain,
meet(X_1533,join(X_640,complement(X_1533))) = meet(X_1533,X_640),
inference(resolve,[$cnf( $equal(meet(join(X_640,complement(X_1533)),join(X_1533,meet(meet(X_1533,X_640),join(X_640,complement(X_1533))))),meet(meet(X_1533,X_640),join(X_640,complement(X_1533)))) )],[refute_0_6758,refute_0_6780]) ).
cnf(refute_0_6782,plain,
meet(X_1188,join(X_1187,complement(X_1188))) = meet(X_1188,X_1187),
inference(subst,[],[refute_0_6781:[bind(X_1533,$fot(X_1188)),bind(X_640,$fot(X_1187))]]) ).
cnf(refute_0_6783,plain,
join(meet(X_1188,join(X_1187,complement(X_1188))),C) = join(meet(X_1188,join(X_1187,complement(X_1188))),C),
introduced(tautology,[refl,[$fot(join(meet(X_1188,join(X_1187,complement(X_1188))),C))]]) ).
cnf(refute_0_6784,plain,
( join(meet(X_1188,join(X_1187,complement(X_1188))),C) != join(meet(X_1188,join(X_1187,complement(X_1188))),C)
| meet(X_1188,join(X_1187,complement(X_1188))) != meet(X_1188,X_1187)
| join(meet(X_1188,join(X_1187,complement(X_1188))),C) = join(meet(X_1188,X_1187),C) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1188,join(X_1187,complement(X_1188))),C),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) ),[1,0],$fot(meet(X_1188,X_1187))]]) ).
cnf(refute_0_6785,plain,
( meet(X_1188,join(X_1187,complement(X_1188))) != meet(X_1188,X_1187)
| join(meet(X_1188,join(X_1187,complement(X_1188))),C) = join(meet(X_1188,X_1187),C) ),
inference(resolve,[$cnf( $equal(join(meet(X_1188,join(X_1187,complement(X_1188))),C),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) )],[refute_0_6783,refute_0_6784]) ).
cnf(refute_0_6786,plain,
join(meet(X_1188,join(X_1187,complement(X_1188))),C) = join(meet(X_1188,X_1187),C),
inference(resolve,[$cnf( $equal(meet(X_1188,join(X_1187,complement(X_1188))),meet(X_1188,X_1187)) )],[refute_0_6782,refute_0_6785]) ).
cnf(refute_0_6787,plain,
join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) = join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)),
introduced(tautology,[refl,[$fot(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)))]]) ).
cnf(refute_0_6788,plain,
( join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) != join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C))
| join(meet(X_1188,join(X_1187,complement(X_1188))),C) != join(meet(X_1188,X_1187),C)
| join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) = join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)),join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C))) ),[1,1],$fot(join(meet(X_1188,X_1187),C))]]) ).
cnf(refute_0_6789,plain,
( join(meet(X_1188,join(X_1187,complement(X_1188))),C) != join(meet(X_1188,X_1187),C)
| join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) = join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)) ),
inference(resolve,[$cnf( $equal(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)),join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C))) )],[refute_0_6787,refute_0_6788]) ).
cnf(refute_0_6790,plain,
join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) = join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)),
inference(resolve,[$cnf( $equal(join(meet(X_1188,join(X_1187,complement(X_1188))),C),join(meet(X_1188,X_1187),C)) )],[refute_0_6786,refute_0_6789]) ).
cnf(refute_0_6791,plain,
( join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)) != join(C,X_1188)
| join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) != join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C))
| join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) = join(C,X_1188) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)))),bind(Y,$fot(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)))),bind(Z,$fot(join(C,X_1188)))]]) ).
cnf(refute_0_6792,plain,
( join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)) != join(C,X_1188)
| join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) = join(C,X_1188) ),
inference(resolve,[$cnf( $equal(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)),join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C))) )],[refute_0_6790,refute_0_6791]) ).
cnf(refute_0_6793,plain,
join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) = join(C,X_1188),
inference(resolve,[$cnf( $equal(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,X_1187),C)),join(C,X_1188)) )],[refute_0_6697,refute_0_6792]) ).
cnf(refute_0_6794,plain,
( join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) != join(C,X_1188)
| join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) != join(X_1188,C)
| join(C,X_1188) = join(X_1188,C) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)),join(X_1188,C)) ),[0],$fot(join(C,X_1188))]]) ).
cnf(refute_0_6795,plain,
( join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)) != join(X_1188,C)
| join(C,X_1188) = join(X_1188,C) ),
inference(resolve,[$cnf( $equal(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)),join(C,X_1188)) )],[refute_0_6793,refute_0_6794]) ).
cnf(refute_0_6796,plain,
join(C,X_1188) = join(X_1188,C),
inference(resolve,[$cnf( $equal(join(meet(X_1188,complement(X_1187)),join(meet(X_1188,join(X_1187,complement(X_1188))),C)),join(X_1188,C)) )],[refute_0_6684,refute_0_6795]) ).
cnf(refute_0_6797,plain,
( join(C,X_1188) != join(X_1188,C)
| join(X_1188,C) = join(C,X_1188) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(C,X_1188))),bind(Y,$fot(join(X_1188,C)))]]) ).
cnf(refute_0_6798,plain,
join(X_1188,C) = join(C,X_1188),
inference(resolve,[$cnf( $equal(join(C,X_1188),join(X_1188,C)) )],[refute_0_6796,refute_0_6797]) ).
cnf(refute_0_6799,plain,
join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top)) = join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),
inference(subst,[],[refute_0_6798:[bind(C,$fot(composition(zero,top))),bind(X_1188,$fot(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))]]) ).
cnf(refute_0_6800,plain,
( join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top)) != join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))
| join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top)) = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top)))),bind(Y,$fot(join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))))),bind(Z,$fot(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))]]) ).
cnf(refute_0_6801,plain,
( join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))) != composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top)) = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top)),join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))) )],[refute_0_6799,refute_0_6800]) ).
cnf(refute_0_6802,plain,
join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top)) = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),
inference(resolve,[$cnf( $equal(join(composition(zero,top),composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))),composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) )],[refute_0_6637,refute_0_6801]) ).
cnf(refute_0_6803,plain,
( join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top)) != composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| top != join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top))
| top = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top))) ),[1],$fot(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))))]]) ).
cnf(refute_0_6804,plain,
( top != join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top))
| top = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top)),composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) )],[refute_0_6802,refute_0_6803]) ).
cnf(refute_0_6805,plain,
top = composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),
inference(resolve,[$cnf( $equal(top,join(composition(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))),composition(zero,top))) )],[refute_0_6621,refute_0_6804]) ).
cnf(refute_0_6806,plain,
( top != composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))
| composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))))]]) ).
cnf(refute_0_6807,plain,
composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) = top,
inference(resolve,[$cnf( $equal(top,composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one)))))))) )],[refute_0_6805,refute_0_6806]) ).
cnf(refute_0_6808,plain,
meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95) = meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),
introduced(tautology,[refl,[$fot(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))]]) ).
cnf(refute_0_6809,plain,
( composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) != top
| meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95) != meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)
| meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95) = meet(top,X_95) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6810,plain,
( composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))) != top
| meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95) = meet(top,X_95) ),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) )],[refute_0_6808,refute_0_6809]) ).
cnf(refute_0_6811,plain,
meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95) = meet(top,X_95),
inference(resolve,[$cnf( $equal(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),top) )],[refute_0_6807,refute_0_6810]) ).
cnf(refute_0_6812,plain,
( meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95) != meet(top,X_95)
| meet(top,X_95) != X_95
| meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95) = X_95 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))),bind(Y,$fot(meet(top,X_95))),bind(Z,$fot(X_95))]]) ).
cnf(refute_0_6813,plain,
( meet(top,X_95) != X_95
| meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95) = X_95 ),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),meet(top,X_95)) )],[refute_0_6811,refute_0_6812]) ).
cnf(refute_0_6814,plain,
meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95) = X_95,
inference(resolve,[$cnf( $equal(meet(top,X_95),X_95) )],[refute_0_6366,refute_0_6813]) ).
cnf(refute_0_6815,plain,
join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) = join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)),
introduced(tautology,[refl,[$fot(join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)))]]) ).
cnf(refute_0_6816,plain,
( join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) != join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))
| meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95) != X_95
| join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) = join(X_121,X_95) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) ),[1,1],$fot(X_95)]]) ).
cnf(refute_0_6817,plain,
( meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95) != X_95
| join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) = join(X_121,X_95) ),
inference(resolve,[$cnf( $equal(join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)),join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95))) )],[refute_0_6815,refute_0_6816]) ).
cnf(refute_0_6818,plain,
join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) = join(X_121,X_95),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95),X_95) )],[refute_0_6814,refute_0_6817]) ).
cnf(refute_0_6819,plain,
( join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) != join(X_121,X_95)
| join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) != join(X_95,X_121)
| join(X_121,X_95) = join(X_95,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)),join(X_95,X_121)) ),[0],$fot(join(X_121,X_95))]]) ).
cnf(refute_0_6820,plain,
( join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)) != join(X_95,X_121)
| join(X_121,X_95) = join(X_95,X_121) ),
inference(resolve,[$cnf( $equal(join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)),join(X_121,X_95)) )],[refute_0_6818,refute_0_6819]) ).
cnf(refute_0_6821,plain,
join(X_121,X_95) = join(X_95,X_121),
inference(resolve,[$cnf( $equal(join(X_121,meet(composition(top,complement(meet(one,composition(complement(one),composition(complement(one),composition(complement(one),complement(one))))))),X_95)),join(X_95,X_121)) )],[refute_0_6365,refute_0_6820]) ).
cnf(refute_0_6822,plain,
( join(X_121,X_95) != join(X_95,X_121)
| join(X_95,X_121) = join(X_121,X_95) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_121,X_95))),bind(Y,$fot(join(X_95,X_121)))]]) ).
cnf(refute_0_6823,plain,
join(X_95,X_121) = join(X_121,X_95),
inference(resolve,[$cnf( $equal(join(X_121,X_95),join(X_95,X_121)) )],[refute_0_6821,refute_0_6822]) ).
cnf(refute_0_6824,plain,
join(complement(composition(top,composition(complement(X_1924),top))),X_1924) = join(X_1924,complement(composition(top,composition(complement(X_1924),top)))),
inference(subst,[],[refute_0_6823:[bind(X_121,$fot(X_1924)),bind(X_95,$fot(complement(composition(top,composition(complement(X_1924),top)))))]]) ).
cnf(refute_0_6825,plain,
( join(X_1924,complement(composition(top,composition(complement(X_1924),top)))) != X_1924
| join(complement(composition(top,composition(complement(X_1924),top))),X_1924) != join(X_1924,complement(composition(top,composition(complement(X_1924),top))))
| join(complement(composition(top,composition(complement(X_1924),top))),X_1924) = X_1924 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(composition(top,composition(complement(X_1924),top))),X_1924))),bind(Y,$fot(join(X_1924,complement(composition(top,composition(complement(X_1924),top)))))),bind(Z,$fot(X_1924))]]) ).
cnf(refute_0_6826,plain,
( join(X_1924,complement(composition(top,composition(complement(X_1924),top)))) != X_1924
| join(complement(composition(top,composition(complement(X_1924),top))),X_1924) = X_1924 ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(complement(X_1924),top))),X_1924),join(X_1924,complement(composition(top,composition(complement(X_1924),top))))) )],[refute_0_6824,refute_0_6825]) ).
cnf(refute_0_6827,plain,
join(complement(composition(top,composition(complement(X_1924),top))),X_1924) = X_1924,
inference(resolve,[$cnf( $equal(join(X_1924,complement(composition(top,composition(complement(X_1924),top)))),X_1924) )],[refute_0_3375,refute_0_6826]) ).
cnf(refute_0_6828,plain,
complement(meet(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),X_716)) = join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),
inference(subst,[],[refute_0_2702:[bind(X_717,$fot(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))))]]) ).
cnf(refute_0_6829,plain,
( complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != complement(X_1924)
| complement(meet(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),X_716)) != join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))
| complement(meet(complement(X_1924),X_716)) = join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),X_716)),join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))) ),[0,0,0],$fot(complement(X_1924))]]) ).
cnf(refute_0_6830,plain,
( complement(meet(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),X_716)) != join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))
| complement(meet(complement(X_1924),X_716)) = join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),complement(X_1924)) )],[refute_0_2980,refute_0_6829]) ).
cnf(refute_0_6831,plain,
complement(meet(complement(X_1924),X_716)) = join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),X_716)),join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))) )],[refute_0_6828,refute_0_6830]) ).
cnf(refute_0_6832,plain,
complement(meet(complement(X_1924),X_716)) = join(complement(X_716),X_1924),
inference(subst,[],[refute_0_2702:[bind(X_717,$fot(X_1924))]]) ).
cnf(refute_0_6833,plain,
( complement(meet(complement(X_1924),X_716)) != join(complement(X_716),X_1924)
| complement(meet(complement(X_1924),X_716)) != join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))
| join(complement(X_716),X_1924) = join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(X_1924),X_716)),join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))) ),[0],$fot(join(complement(X_716),X_1924))]]) ).
cnf(refute_0_6834,plain,
( complement(meet(complement(X_1924),X_716)) != join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))
| join(complement(X_716),X_1924) = join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_1924),X_716)),join(complement(X_716),X_1924)) )],[refute_0_6832,refute_0_6833]) ).
cnf(refute_0_6835,plain,
join(complement(X_716),X_1924) = join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_1924),X_716)),join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))) )],[refute_0_6831,refute_0_6834]) ).
cnf(refute_0_6836,plain,
( join(complement(X_716),X_1924) != join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))
| join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(complement(X_716),X_1924) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(X_716),X_1924))),bind(Y,$fot(join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))))]]) ).
cnf(refute_0_6837,plain,
join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(complement(X_716),X_1924),
inference(resolve,[$cnf( $equal(join(complement(X_716),X_1924),join(complement(X_716),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))) )],[refute_0_6835,refute_0_6836]) ).
cnf(refute_0_6838,plain,
join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(complement(composition(top,composition(complement(X_1924),top))),X_1924),
inference(subst,[],[refute_0_6837:[bind(X_716,$fot(composition(top,composition(complement(X_1924),top))))]]) ).
cnf(refute_0_6839,plain,
( join(complement(composition(top,composition(complement(X_1924),top))),X_1924) != X_1924
| join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != join(complement(composition(top,composition(complement(X_1924),top))),X_1924)
| join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = X_1924 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))))),bind(Y,$fot(join(complement(composition(top,composition(complement(X_1924),top))),X_1924))),bind(Z,$fot(X_1924))]]) ).
cnf(refute_0_6840,plain,
( join(complement(composition(top,composition(complement(X_1924),top))),X_1924) != X_1924
| join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = X_1924 ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),join(complement(composition(top,composition(complement(X_1924),top))),X_1924)) )],[refute_0_6838,refute_0_6839]) ).
cnf(refute_0_6841,plain,
join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = X_1924,
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(complement(X_1924),top))),X_1924),X_1924) )],[refute_0_6827,refute_0_6840]) ).
cnf(refute_0_6842,plain,
complement(meet(complement(meet(X_765,X_764)),X_1910)) = join(complement(X_1910),meet(X_765,X_764)),
inference(subst,[],[refute_0_2702:[bind(X_716,$fot(X_1910)),bind(X_717,$fot(meet(X_765,X_764)))]]) ).
cnf(refute_0_6843,plain,
( complement(meet(X_765,X_764)) != complement(meet(X_764,X_765))
| complement(meet(complement(meet(X_765,X_764)),X_1910)) != join(complement(X_1910),meet(X_765,X_764))
| complement(meet(complement(meet(X_764,X_765)),X_1910)) = join(complement(X_1910),meet(X_765,X_764)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(meet(X_765,X_764)),X_1910)),join(complement(X_1910),meet(X_765,X_764))) ),[0,0,0],$fot(complement(meet(X_764,X_765)))]]) ).
cnf(refute_0_6844,plain,
( complement(meet(complement(meet(X_765,X_764)),X_1910)) != join(complement(X_1910),meet(X_765,X_764))
| complement(meet(complement(meet(X_764,X_765)),X_1910)) = join(complement(X_1910),meet(X_765,X_764)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_765,X_764)),complement(meet(X_764,X_765))) )],[refute_0_5750,refute_0_6843]) ).
cnf(refute_0_6845,plain,
complement(meet(complement(meet(X_764,X_765)),X_1910)) = join(complement(X_1910),meet(X_765,X_764)),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(X_765,X_764)),X_1910)),join(complement(X_1910),meet(X_765,X_764))) )],[refute_0_6842,refute_0_6844]) ).
cnf(refute_0_6846,plain,
complement(meet(complement(meet(X_764,X_765)),X_1910)) = join(complement(X_1910),meet(X_764,X_765)),
inference(subst,[],[refute_0_2702:[bind(X_716,$fot(X_1910)),bind(X_717,$fot(meet(X_764,X_765)))]]) ).
cnf(refute_0_6847,plain,
( complement(meet(complement(meet(X_764,X_765)),X_1910)) != join(complement(X_1910),meet(X_764,X_765))
| complement(meet(complement(meet(X_764,X_765)),X_1910)) != join(complement(X_1910),meet(X_765,X_764))
| join(complement(X_1910),meet(X_764,X_765)) = join(complement(X_1910),meet(X_765,X_764)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(meet(X_764,X_765)),X_1910)),join(complement(X_1910),meet(X_765,X_764))) ),[0],$fot(join(complement(X_1910),meet(X_764,X_765)))]]) ).
cnf(refute_0_6848,plain,
( complement(meet(complement(meet(X_764,X_765)),X_1910)) != join(complement(X_1910),meet(X_765,X_764))
| join(complement(X_1910),meet(X_764,X_765)) = join(complement(X_1910),meet(X_765,X_764)) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(X_764,X_765)),X_1910)),join(complement(X_1910),meet(X_764,X_765))) )],[refute_0_6846,refute_0_6847]) ).
cnf(refute_0_6849,plain,
join(complement(X_1910),meet(X_764,X_765)) = join(complement(X_1910),meet(X_765,X_764)),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(X_764,X_765)),X_1910)),join(complement(X_1910),meet(X_765,X_764))) )],[refute_0_6845,refute_0_6848]) ).
cnf(refute_0_6850,plain,
( join(complement(X_1910),meet(X_764,X_765)) != join(complement(X_1910),meet(X_765,X_764))
| join(complement(X_1910),meet(X_765,X_764)) = join(complement(X_1910),meet(X_764,X_765)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(complement(X_1910),meet(X_764,X_765)))),bind(Y,$fot(join(complement(X_1910),meet(X_765,X_764))))]]) ).
cnf(refute_0_6851,plain,
join(complement(X_1910),meet(X_765,X_764)) = join(complement(X_1910),meet(X_764,X_765)),
inference(resolve,[$cnf( $equal(join(complement(X_1910),meet(X_764,X_765)),join(complement(X_1910),meet(X_765,X_764))) )],[refute_0_6849,refute_0_6850]) ).
cnf(refute_0_6852,plain,
join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924)) = join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),
inference(subst,[],[refute_0_6851:[bind(X_1910,$fot(composition(top,composition(complement(X_1924),top)))),bind(X_764,$fot(X_1924)),bind(X_765,$fot(composition(top,composition(converse(join(X_1925,one)),X_1924))))]]) ).
cnf(refute_0_6853,plain,
( join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != X_1924
| join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924)) != join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))
| join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924)) = X_1924 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924)))),bind(Y,$fot(join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))))),bind(Z,$fot(X_1924))]]) ).
cnf(refute_0_6854,plain,
( join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != X_1924
| join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924)) = X_1924 ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924)),join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))) )],[refute_0_6852,refute_0_6853]) ).
cnf(refute_0_6855,plain,
join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924)) = X_1924,
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(complement(X_1924),top))),meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),X_1924) )],[refute_0_6841,refute_0_6854]) ).
cnf(refute_0_6856,plain,
join(meet(X_41,B),join(meet(X_41,complement(B)),X_121)) = join(join(meet(X_41,B),meet(X_41,complement(B))),X_121),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(meet(X_41,B))),bind(B,$fot(meet(X_41,complement(B)))),bind(C,$fot(X_121))]]) ).
cnf(refute_0_6857,plain,
( join(meet(X_41,B),join(meet(X_41,complement(B)),X_121)) != join(join(meet(X_41,B),meet(X_41,complement(B))),X_121)
| join(meet(X_41,B),meet(X_41,complement(B))) != X_41
| join(meet(X_41,B),join(meet(X_41,complement(B)),X_121)) = join(X_41,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_41,B),join(meet(X_41,complement(B)),X_121)),join(join(meet(X_41,B),meet(X_41,complement(B))),X_121)) ),[1,0],$fot(X_41)]]) ).
cnf(refute_0_6858,plain,
( join(meet(X_41,B),join(meet(X_41,complement(B)),X_121)) != join(join(meet(X_41,B),meet(X_41,complement(B))),X_121)
| join(meet(X_41,B),join(meet(X_41,complement(B)),X_121)) = join(X_41,X_121) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,B),meet(X_41,complement(B))),X_41) )],[refute_0_6687,refute_0_6857]) ).
cnf(refute_0_6859,plain,
join(meet(X_41,B),join(meet(X_41,complement(B)),X_121)) = join(X_41,X_121),
inference(resolve,[$cnf( $equal(join(meet(X_41,B),join(meet(X_41,complement(B)),X_121)),join(join(meet(X_41,B),meet(X_41,complement(B))),X_121)) )],[refute_0_6856,refute_0_6858]) ).
cnf(refute_0_6860,plain,
join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),X_1613)) = join(meet(X_763,X_762),X_1613),
inference(subst,[],[refute_0_6859:[bind(B,$fot(meet(X_762,X_763))),bind(X_121,$fot(X_1613)),bind(X_41,$fot(meet(X_763,X_762)))]]) ).
cnf(refute_0_6861,plain,
( join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),X_1613)) != join(meet(X_763,X_762),X_1613)
| meet(meet(X_763,X_762),complement(meet(X_762,X_763))) != zero
| join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) = join(meet(X_763,X_762),X_1613) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),X_1613)),join(meet(X_763,X_762),X_1613)) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_6862,plain,
( join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),X_1613)) != join(meet(X_763,X_762),X_1613)
| join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) = join(meet(X_763,X_762),X_1613) ),
inference(resolve,[$cnf( $equal(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),zero) )],[refute_0_5702,refute_0_6861]) ).
cnf(refute_0_6863,plain,
join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) = join(meet(X_763,X_762),X_1613),
inference(resolve,[$cnf( $equal(join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),X_1613)),join(meet(X_763,X_762),X_1613)) )],[refute_0_6860,refute_0_6862]) ).
cnf(refute_0_6864,plain,
complement(complement(meet(X_763,X_762))) = join(complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),
inference(subst,[],[refute_0_4463:[bind(X_213,$fot(complement(meet(X_763,X_762)))),bind(X_42,$fot(meet(X_762,X_763)))]]) ).
cnf(refute_0_6865,plain,
( complement(complement(meet(X_763,X_762))) != join(complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))
| join(meet(X_762,X_763),complement(meet(X_763,X_762))) != top
| complement(complement(meet(X_763,X_762))) = join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(meet(X_763,X_762))),join(complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_6866,plain,
( complement(complement(meet(X_763,X_762))) != join(complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))
| complement(complement(meet(X_763,X_762))) = join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) ),
inference(resolve,[$cnf( $equal(join(meet(X_762,X_763),complement(meet(X_763,X_762))),top) )],[refute_0_5681,refute_0_6865]) ).
cnf(refute_0_6867,plain,
complement(complement(meet(X_763,X_762))) = join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_763,X_762))),join(complement(join(meet(X_762,X_763),complement(meet(X_763,X_762)))),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))) )],[refute_0_6864,refute_0_6866]) ).
cnf(refute_0_6868,plain,
complement(complement(meet(X_763,X_762))) = meet(X_763,X_762),
inference(subst,[],[refute_0_931:[bind(X_25,$fot(meet(X_763,X_762)))]]) ).
cnf(refute_0_6869,plain,
( complement(complement(meet(X_763,X_762))) != join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))
| complement(complement(meet(X_763,X_762))) != meet(X_763,X_762)
| meet(X_763,X_762) = join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(meet(X_763,X_762))),join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))) ),[0],$fot(meet(X_763,X_762))]]) ).
cnf(refute_0_6870,plain,
( complement(complement(meet(X_763,X_762))) != join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))
| meet(X_763,X_762) = join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) ),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_763,X_762))),meet(X_763,X_762)) )],[refute_0_6868,refute_0_6869]) ).
cnf(refute_0_6871,plain,
join(zero,meet(meet(X_762,X_763),meet(X_763,X_762))) = meet(meet(X_762,X_763),meet(X_763,X_762)),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(meet(meet(X_762,X_763),meet(X_763,X_762))))]]) ).
cnf(refute_0_6872,plain,
meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))) = meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))),
introduced(tautology,[refl,[$fot(meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))))]]) ).
cnf(refute_0_6873,plain,
( complement(complement(meet(X_763,X_762))) != meet(X_763,X_762)
| meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))) != meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762))))
| meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))) = meet(meet(X_762,X_763),meet(X_763,X_762)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))),meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762))))) ),[1,1],$fot(meet(X_763,X_762))]]) ).
cnf(refute_0_6874,plain,
( complement(complement(meet(X_763,X_762))) != meet(X_763,X_762)
| meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))) = meet(meet(X_762,X_763),meet(X_763,X_762)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))),meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762))))) )],[refute_0_6872,refute_0_6873]) ).
cnf(refute_0_6875,plain,
meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))) = meet(meet(X_762,X_763),meet(X_763,X_762)),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_763,X_762))),meet(X_763,X_762)) )],[refute_0_6868,refute_0_6874]) ).
cnf(refute_0_6876,plain,
meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)) = meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(meet(X_762,X_763))),bind(X_16,$fot(complement(complement(meet(X_763,X_762)))))]]) ).
cnf(refute_0_6877,plain,
( meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)) != meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762))))
| meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))) != meet(meet(X_762,X_763),meet(X_763,X_762))
| meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)) = meet(meet(X_762,X_763),meet(X_763,X_762)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))),bind(Y,$fot(meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))))),bind(Z,$fot(meet(meet(X_762,X_763),meet(X_763,X_762))))]]) ).
cnf(refute_0_6878,plain,
( meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))) != meet(meet(X_762,X_763),meet(X_763,X_762))
| meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)) = meet(meet(X_762,X_763),meet(X_763,X_762)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)),meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762))))) )],[refute_0_6876,refute_0_6877]) ).
cnf(refute_0_6879,plain,
meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)) = meet(meet(X_762,X_763),meet(X_763,X_762)),
inference(resolve,[$cnf( $equal(meet(meet(X_762,X_763),complement(complement(meet(X_763,X_762)))),meet(meet(X_762,X_763),meet(X_763,X_762))) )],[refute_0_6875,refute_0_6878]) ).
cnf(refute_0_6880,plain,
join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))))]]) ).
cnf(refute_0_6881,plain,
( join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) != join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))
| meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)) != meet(meet(X_762,X_763),meet(X_763,X_762))
| join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = join(zero,meet(meet(X_762,X_763),meet(X_763,X_762))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))) ),[1,1],$fot(meet(meet(X_762,X_763),meet(X_763,X_762)))]]) ).
cnf(refute_0_6882,plain,
( meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)) != meet(meet(X_762,X_763),meet(X_763,X_762))
| join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = join(zero,meet(meet(X_762,X_763),meet(X_763,X_762))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))) )],[refute_0_6880,refute_0_6881]) ).
cnf(refute_0_6883,plain,
join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = join(zero,meet(meet(X_762,X_763),meet(X_763,X_762))),
inference(resolve,[$cnf( $equal(meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)),meet(meet(X_762,X_763),meet(X_763,X_762))) )],[refute_0_6879,refute_0_6882]) ).
cnf(refute_0_6884,plain,
join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))))]]) ).
cnf(refute_0_6885,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) != join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))
| join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6886,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))) )],[refute_0_6884,refute_0_6885]) ).
cnf(refute_0_6887,plain,
join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_6886]) ).
cnf(refute_0_6888,plain,
( join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) != join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))
| join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) != join(zero,meet(meet(X_762,X_763),meet(X_763,X_762)))
| join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = join(zero,meet(meet(X_762,X_763),meet(X_763,X_762))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))))),bind(Y,$fot(join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))))),bind(Z,$fot(join(zero,meet(meet(X_762,X_763),meet(X_763,X_762)))))]]) ).
cnf(refute_0_6889,plain,
( join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) != join(zero,meet(meet(X_762,X_763),meet(X_763,X_762)))
| join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = join(zero,meet(meet(X_762,X_763),meet(X_763,X_762))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))) )],[refute_0_6887,refute_0_6888]) ).
cnf(refute_0_6890,plain,
join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = join(zero,meet(meet(X_762,X_763),meet(X_763,X_762))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),join(zero,meet(meet(X_762,X_763),meet(X_763,X_762)))) )],[refute_0_6883,refute_0_6889]) ).
cnf(refute_0_6891,plain,
( join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) != join(zero,meet(meet(X_762,X_763),meet(X_763,X_762)))
| join(zero,meet(meet(X_762,X_763),meet(X_763,X_762))) != meet(meet(X_762,X_763),meet(X_763,X_762))
| join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = meet(meet(X_762,X_763),meet(X_763,X_762)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))))),bind(Y,$fot(join(zero,meet(meet(X_762,X_763),meet(X_763,X_762))))),bind(Z,$fot(meet(meet(X_762,X_763),meet(X_763,X_762))))]]) ).
cnf(refute_0_6892,plain,
( join(zero,meet(meet(X_762,X_763),meet(X_763,X_762))) != meet(meet(X_762,X_763),meet(X_763,X_762))
| join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = meet(meet(X_762,X_763),meet(X_763,X_762)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),join(zero,meet(meet(X_762,X_763),meet(X_763,X_762)))) )],[refute_0_6890,refute_0_6891]) ).
cnf(refute_0_6893,plain,
join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) = meet(meet(X_762,X_763),meet(X_763,X_762)),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_762,X_763),meet(X_763,X_762))),meet(meet(X_762,X_763),meet(X_763,X_762))) )],[refute_0_6871,refute_0_6892]) ).
cnf(refute_0_6894,plain,
( join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))) != meet(meet(X_762,X_763),meet(X_763,X_762))
| meet(X_763,X_762) != join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))
| meet(X_763,X_762) = meet(meet(X_762,X_763),meet(X_763,X_762)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_763,X_762),join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))) ),[1],$fot(meet(meet(X_762,X_763),meet(X_763,X_762)))]]) ).
cnf(refute_0_6895,plain,
( meet(X_763,X_762) != join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))
| meet(X_763,X_762) = meet(meet(X_762,X_763),meet(X_763,X_762)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763))),meet(meet(X_762,X_763),meet(X_763,X_762))) )],[refute_0_6893,refute_0_6894]) ).
cnf(refute_0_6896,plain,
( complement(complement(meet(X_763,X_762))) != join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))
| meet(X_763,X_762) = meet(meet(X_762,X_763),meet(X_763,X_762)) ),
inference(resolve,[$cnf( $equal(meet(X_763,X_762),join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))) )],[refute_0_6870,refute_0_6895]) ).
cnf(refute_0_6897,plain,
meet(X_763,X_762) = meet(meet(X_762,X_763),meet(X_763,X_762)),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_763,X_762))),join(complement(top),meet(complement(complement(meet(X_763,X_762))),meet(X_762,X_763)))) )],[refute_0_6867,refute_0_6896]) ).
cnf(refute_0_6898,plain,
( meet(X_763,X_762) != meet(meet(X_762,X_763),meet(X_763,X_762))
| meet(meet(X_762,X_763),meet(X_763,X_762)) = meet(X_763,X_762) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_763,X_762))),bind(Y,$fot(meet(meet(X_762,X_763),meet(X_763,X_762))))]]) ).
cnf(refute_0_6899,plain,
meet(meet(X_762,X_763),meet(X_763,X_762)) = meet(X_763,X_762),
inference(resolve,[$cnf( $equal(meet(X_763,X_762),meet(meet(X_762,X_763),meet(X_763,X_762))) )],[refute_0_6897,refute_0_6898]) ).
cnf(refute_0_6900,plain,
meet(meet(X_763,X_762),meet(X_762,X_763)) = meet(X_762,X_763),
inference(subst,[],[refute_0_6899:[bind(X_762,$fot(X_763)),bind(X_763,$fot(X_762))]]) ).
cnf(refute_0_6901,plain,
join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))) = join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))),
introduced(tautology,[refl,[$fot(join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))))]]) ).
cnf(refute_0_6902,plain,
( join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))) != join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))
| meet(meet(X_763,X_762),meet(X_762,X_763)) != meet(X_762,X_763)
| join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))) = join(X_1613,meet(X_762,X_763)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))),join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))) ),[1,1],$fot(meet(X_762,X_763))]]) ).
cnf(refute_0_6903,plain,
( meet(meet(X_763,X_762),meet(X_762,X_763)) != meet(X_762,X_763)
| join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))) = join(X_1613,meet(X_762,X_763)) ),
inference(resolve,[$cnf( $equal(join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))),join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))) )],[refute_0_6901,refute_0_6902]) ).
cnf(refute_0_6904,plain,
join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))) = join(X_1613,meet(X_762,X_763)),
inference(resolve,[$cnf( $equal(meet(meet(X_763,X_762),meet(X_762,X_763)),meet(X_762,X_763)) )],[refute_0_6900,refute_0_6903]) ).
cnf(refute_0_6905,plain,
join(zero,join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))) = join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))))]]) ).
cnf(refute_0_6906,plain,
join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),X_1613)) = join(join(X_577,X_576),X_1613),
inference(subst,[],[refute_0_6859:[bind(B,$fot(composition(join(X_576,X_577),top))),bind(X_121,$fot(X_1613)),bind(X_41,$fot(join(X_577,X_576)))]]) ).
cnf(refute_0_6907,plain,
meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) = complement(join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top))),
inference(subst,[],[refute_0_1834:[bind(X_361,$fot(join(X_577,X_576))),bind(X_363,$fot(composition(join(X_576,X_577),top)))]]) ).
cnf(refute_0_6908,plain,
top = join(complement(X_25),composition(complement(complement(X_25)),top)),
inference(subst,[],[refute_0_3239:[bind(A,$fot(complement(X_25)))]]) ).
cnf(refute_0_6909,plain,
( complement(complement(X_25)) != X_25
| top != join(complement(X_25),composition(complement(complement(X_25)),top))
| top = join(complement(X_25),composition(X_25,top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_25),composition(complement(complement(X_25)),top))) ),[1,1,0],$fot(X_25)]]) ).
cnf(refute_0_6910,plain,
( top != join(complement(X_25),composition(complement(complement(X_25)),top))
| top = join(complement(X_25),composition(X_25,top)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_931,refute_0_6909]) ).
cnf(refute_0_6911,plain,
top = join(complement(X_25),composition(X_25,top)),
inference(resolve,[$cnf( $equal(top,join(complement(X_25),composition(complement(complement(X_25)),top))) )],[refute_0_6908,refute_0_6910]) ).
cnf(refute_0_6912,plain,
top = join(complement(join(X_577,X_576)),composition(join(X_577,X_576),top)),
inference(subst,[],[refute_0_6911:[bind(X_25,$fot(join(X_577,X_576)))]]) ).
cnf(refute_0_6913,plain,
( composition(join(X_577,X_576),top) != composition(join(X_576,X_577),top)
| top != join(complement(join(X_577,X_576)),composition(join(X_577,X_576),top))
| top = join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(X_577,X_576)),composition(join(X_577,X_576),top))) ),[1,1],$fot(composition(join(X_576,X_577),top))]]) ).
cnf(refute_0_6914,plain,
( top != join(complement(join(X_577,X_576)),composition(join(X_577,X_576),top))
| top = join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top)) ),
inference(resolve,[$cnf( $equal(composition(join(X_577,X_576),top),composition(join(X_576,X_577),top)) )],[refute_0_4577,refute_0_6913]) ).
cnf(refute_0_6915,plain,
top = join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top)),
inference(resolve,[$cnf( $equal(top,join(complement(join(X_577,X_576)),composition(join(X_577,X_576),top))) )],[refute_0_6912,refute_0_6914]) ).
cnf(refute_0_6916,plain,
( top != join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top))
| join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top)) = top ),
inference(subst,[],[refute_0_2:[bind(X,$fot(top)),bind(Y,$fot(join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top))))]]) ).
cnf(refute_0_6917,plain,
join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top)) = top,
inference(resolve,[$cnf( $equal(top,join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top))) )],[refute_0_6915,refute_0_6916]) ).
cnf(refute_0_6918,plain,
( join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top)) != top
| meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) != complement(join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top)))
| meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),complement(join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6919,plain,
( meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) != complement(join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top)))
| meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top)),top) )],[refute_0_6917,refute_0_6918]) ).
cnf(refute_0_6920,plain,
meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) = complement(top),
inference(resolve,[$cnf( $equal(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),complement(join(complement(join(X_577,X_576)),composition(join(X_576,X_577),top)))) )],[refute_0_6907,refute_0_6919]) ).
cnf(refute_0_6921,plain,
( complement(top) != zero
| meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) != complement(top)
| meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_6922,plain,
( meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) != complement(top)
| meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_266,refute_0_6921]) ).
cnf(refute_0_6923,plain,
meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) = zero,
inference(resolve,[$cnf( $equal(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),complement(top)) )],[refute_0_6920,refute_0_6922]) ).
cnf(refute_0_6924,plain,
( join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),X_1613)) != join(join(X_577,X_576),X_1613)
| meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) != zero
| join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) = join(join(X_577,X_576),X_1613) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),X_1613)),join(join(X_577,X_576),X_1613)) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_6925,plain,
( join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),X_1613)) != join(join(X_577,X_576),X_1613)
| join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) = join(join(X_577,X_576),X_1613) ),
inference(resolve,[$cnf( $equal(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),zero) )],[refute_0_6923,refute_0_6924]) ).
cnf(refute_0_6926,plain,
join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) = join(join(X_577,X_576),X_1613),
inference(resolve,[$cnf( $equal(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),X_1613)),join(join(X_577,X_576),X_1613)) )],[refute_0_6906,refute_0_6925]) ).
cnf(refute_0_6927,plain,
join(X_577,X_576) = meet(join(X_577,X_576),composition(join(X_577,X_576),top)),
inference(subst,[],[refute_0_2370:[bind(X_41,$fot(join(X_577,X_576)))]]) ).
cnf(refute_0_6928,plain,
( composition(join(X_577,X_576),top) != composition(join(X_576,X_577),top)
| join(X_577,X_576) != meet(join(X_577,X_576),composition(join(X_577,X_576),top))
| join(X_577,X_576) = meet(join(X_577,X_576),composition(join(X_576,X_577),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_577,X_576),meet(join(X_577,X_576),composition(join(X_577,X_576),top))) ),[1,1],$fot(composition(join(X_576,X_577),top))]]) ).
cnf(refute_0_6929,plain,
( join(X_577,X_576) != meet(join(X_577,X_576),composition(join(X_577,X_576),top))
| join(X_577,X_576) = meet(join(X_577,X_576),composition(join(X_576,X_577),top)) ),
inference(resolve,[$cnf( $equal(composition(join(X_577,X_576),top),composition(join(X_576,X_577),top)) )],[refute_0_4577,refute_0_6928]) ).
cnf(refute_0_6930,plain,
join(X_577,X_576) = meet(join(X_577,X_576),composition(join(X_576,X_577),top)),
inference(resolve,[$cnf( $equal(join(X_577,X_576),meet(join(X_577,X_576),composition(join(X_577,X_576),top))) )],[refute_0_6927,refute_0_6929]) ).
cnf(refute_0_6931,plain,
( join(X_577,X_576) != meet(join(X_577,X_576),composition(join(X_576,X_577),top))
| meet(join(X_577,X_576),composition(join(X_576,X_577),top)) = join(X_577,X_576) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_577,X_576))),bind(Y,$fot(meet(join(X_577,X_576),composition(join(X_576,X_577),top))))]]) ).
cnf(refute_0_6932,plain,
meet(join(X_577,X_576),composition(join(X_576,X_577),top)) = join(X_577,X_576),
inference(resolve,[$cnf( $equal(join(X_577,X_576),meet(join(X_577,X_576),composition(join(X_576,X_577),top))) )],[refute_0_6930,refute_0_6931]) ).
cnf(refute_0_6933,plain,
join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) = join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),
introduced(tautology,[refl,[$fot(join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))))]]) ).
cnf(refute_0_6934,plain,
( join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) != join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))
| meet(join(X_577,X_576),composition(join(X_576,X_577),top)) != join(X_577,X_576)
| join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) = join(X_1613,join(X_577,X_576)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) ),[1,1],$fot(join(X_577,X_576))]]) ).
cnf(refute_0_6935,plain,
( meet(join(X_577,X_576),composition(join(X_576,X_577),top)) != join(X_577,X_576)
| join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) = join(X_1613,join(X_577,X_576)) ),
inference(resolve,[$cnf( $equal(join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) )],[refute_0_6933,refute_0_6934]) ).
cnf(refute_0_6936,plain,
join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) = join(X_1613,join(X_577,X_576)),
inference(resolve,[$cnf( $equal(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(X_577,X_576)) )],[refute_0_6932,refute_0_6935]) ).
cnf(refute_0_6937,plain,
join(zero,join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) = join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))))]]) ).
cnf(refute_0_6938,plain,
join(meet(X_51,X_52),join(meet(X_52,complement(X_51)),X_121)) = join(join(meet(X_51,X_52),meet(X_52,complement(X_51))),X_121),
inference(subst,[],[maddux2_join_associativity_2:[bind(A,$fot(meet(X_51,X_52))),bind(B,$fot(meet(X_52,complement(X_51)))),bind(C,$fot(X_121))]]) ).
cnf(refute_0_6939,plain,
( join(meet(X_51,X_52),join(meet(X_52,complement(X_51)),X_121)) != join(join(meet(X_51,X_52),meet(X_52,complement(X_51))),X_121)
| join(meet(X_51,X_52),meet(X_52,complement(X_51))) != X_52
| join(meet(X_51,X_52),join(meet(X_52,complement(X_51)),X_121)) = join(X_52,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_51,X_52),join(meet(X_52,complement(X_51)),X_121)),join(join(meet(X_51,X_52),meet(X_52,complement(X_51))),X_121)) ),[1,0],$fot(X_52)]]) ).
cnf(refute_0_6940,plain,
( join(meet(X_51,X_52),join(meet(X_52,complement(X_51)),X_121)) != join(join(meet(X_51,X_52),meet(X_52,complement(X_51))),X_121)
| join(meet(X_51,X_52),join(meet(X_52,complement(X_51)),X_121)) = join(X_52,X_121) ),
inference(resolve,[$cnf( $equal(join(meet(X_51,X_52),meet(X_52,complement(X_51))),X_52) )],[refute_0_5476,refute_0_6939]) ).
cnf(refute_0_6941,plain,
join(meet(X_51,X_52),join(meet(X_52,complement(X_51)),X_121)) = join(X_52,X_121),
inference(resolve,[$cnf( $equal(join(meet(X_51,X_52),join(meet(X_52,complement(X_51)),X_121)),join(join(meet(X_51,X_52),meet(X_52,complement(X_51))),X_121)) )],[refute_0_6938,refute_0_6940]) ).
cnf(refute_0_6942,plain,
join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),X_1607)) = join(join(X_577,X_576),X_1607),
inference(subst,[],[refute_0_6941:[bind(X_121,$fot(X_1607)),bind(X_51,$fot(composition(join(X_576,X_577),top))),bind(X_52,$fot(join(X_577,X_576)))]]) ).
cnf(refute_0_6943,plain,
( join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),X_1607)) != join(join(X_577,X_576),X_1607)
| meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))) != zero
| join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) = join(join(X_577,X_576),X_1607) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),X_1607)),join(join(X_577,X_576),X_1607)) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_6944,plain,
( join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),X_1607)) != join(join(X_577,X_576),X_1607)
| join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) = join(join(X_577,X_576),X_1607) ),
inference(resolve,[$cnf( $equal(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),zero) )],[refute_0_6923,refute_0_6943]) ).
cnf(refute_0_6945,plain,
join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) = join(join(X_577,X_576),X_1607),
inference(resolve,[$cnf( $equal(join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(meet(join(X_577,X_576),complement(composition(join(X_576,X_577),top))),X_1607)),join(join(X_577,X_576),X_1607)) )],[refute_0_6942,refute_0_6944]) ).
cnf(refute_0_6946,plain,
join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) = join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),
introduced(tautology,[refl,[$fot(join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))))]]) ).
cnf(refute_0_6947,plain,
( join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) != join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))
| meet(join(X_577,X_576),composition(join(X_576,X_577),top)) != join(X_577,X_576)
| join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) = join(X_1607,join(X_577,X_576)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) ),[1,1],$fot(join(X_577,X_576))]]) ).
cnf(refute_0_6948,plain,
( meet(join(X_577,X_576),composition(join(X_576,X_577),top)) != join(X_577,X_576)
| join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) = join(X_1607,join(X_577,X_576)) ),
inference(resolve,[$cnf( $equal(join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) )],[refute_0_6946,refute_0_6947]) ).
cnf(refute_0_6949,plain,
join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) = join(X_1607,join(X_577,X_576)),
inference(resolve,[$cnf( $equal(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(X_577,X_576)) )],[refute_0_6932,refute_0_6948]) ).
cnf(refute_0_6950,plain,
join(zero,join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) = join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))))]]) ).
cnf(refute_0_6951,plain,
join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607)) = join(zero,join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))),
inference(subst,[],[refute_0_6358:[bind(A,$fot(meet(join(X_577,X_576),composition(join(X_576,X_577),top)))),bind(B,$fot(zero)),bind(X_1571,$fot(X_1607))]]) ).
cnf(refute_0_6952,plain,
( join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607)) != join(zero,join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))))
| join(zero,join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) != join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))
| join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607)) = join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607)))),bind(Y,$fot(join(zero,join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))))),bind(Z,$fot(join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))))]]) ).
cnf(refute_0_6953,plain,
( join(zero,join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) != join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))
| join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607)) = join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607)),join(zero,join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))))) )],[refute_0_6951,refute_0_6952]) ).
cnf(refute_0_6954,plain,
join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607)) = join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),
inference(resolve,[$cnf( $equal(join(zero,join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))),join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) )],[refute_0_6950,refute_0_6953]) ).
cnf(refute_0_6955,plain,
join(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) = join(meet(X_763,X_762),X_1590),
inference(subst,[],[refute_0_3405:[bind(X_121,$fot(X_1590)),bind(X_51,$fot(complement(meet(X_762,X_763)))),bind(X_52,$fot(meet(X_763,X_762)))]]) ).
cnf(refute_0_6956,plain,
( join(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) != join(meet(X_763,X_762),X_1590)
| meet(meet(X_763,X_762),complement(meet(X_762,X_763))) != zero
| join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) = join(meet(X_763,X_762),X_1590) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)),join(meet(X_763,X_762),X_1590)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_6957,plain,
( join(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) != join(meet(X_763,X_762),X_1590)
| join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) = join(meet(X_763,X_762),X_1590) ),
inference(resolve,[$cnf( $equal(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),zero) )],[refute_0_5702,refute_0_6956]) ).
cnf(refute_0_6958,plain,
join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) = join(meet(X_763,X_762),X_1590),
inference(resolve,[$cnf( $equal(join(meet(meet(X_763,X_762),complement(meet(X_762,X_763))),join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)),join(meet(X_763,X_762),X_1590)) )],[refute_0_6955,refute_0_6957]) ).
cnf(refute_0_6959,plain,
meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) = meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))),
introduced(tautology,[refl,[$fot(meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))))]]) ).
cnf(refute_0_6960,plain,
( complement(complement(meet(X_762,X_763))) != meet(X_762,X_763)
| meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) != meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))
| meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) = meet(meet(X_763,X_762),meet(X_762,X_763)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))),meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))) ),[1,1],$fot(meet(X_762,X_763))]]) ).
cnf(refute_0_6961,plain,
( complement(complement(meet(X_762,X_763))) != meet(X_762,X_763)
| meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) = meet(meet(X_763,X_762),meet(X_762,X_763)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))),meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))) )],[refute_0_6959,refute_0_6960]) ).
cnf(refute_0_6962,plain,
meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) = meet(meet(X_763,X_762),meet(X_762,X_763)),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_762,X_763))),meet(X_762,X_763)) )],[refute_0_5711,refute_0_6961]) ).
cnf(refute_0_6963,plain,
( meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) != meet(meet(X_763,X_762),meet(X_762,X_763))
| meet(meet(X_763,X_762),meet(X_762,X_763)) != meet(X_762,X_763)
| meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) = meet(X_762,X_763) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))))),bind(Y,$fot(meet(meet(X_763,X_762),meet(X_762,X_763)))),bind(Z,$fot(meet(X_762,X_763)))]]) ).
cnf(refute_0_6964,plain,
( meet(meet(X_763,X_762),meet(X_762,X_763)) != meet(X_762,X_763)
| meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) = meet(X_762,X_763) ),
inference(resolve,[$cnf( $equal(meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))),meet(meet(X_763,X_762),meet(X_762,X_763))) )],[refute_0_6962,refute_0_6963]) ).
cnf(refute_0_6965,plain,
meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) = meet(X_762,X_763),
inference(resolve,[$cnf( $equal(meet(meet(X_763,X_762),meet(X_762,X_763)),meet(X_762,X_763)) )],[refute_0_6900,refute_0_6964]) ).
cnf(refute_0_6966,plain,
meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)) = meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))),
inference(subst,[],[refute_0_289:[bind(X_15,$fot(meet(X_763,X_762))),bind(X_16,$fot(complement(complement(meet(X_762,X_763)))))]]) ).
cnf(refute_0_6967,plain,
( meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)) != meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))
| meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) != meet(X_762,X_763)
| meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)) = meet(X_762,X_763) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)))),bind(Y,$fot(meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))))),bind(Z,$fot(meet(X_762,X_763)))]]) ).
cnf(refute_0_6968,plain,
( meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))) != meet(X_762,X_763)
| meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)) = meet(X_762,X_763) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763))))) )],[refute_0_6966,refute_0_6967]) ).
cnf(refute_0_6969,plain,
meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)) = meet(X_762,X_763),
inference(resolve,[$cnf( $equal(meet(meet(X_763,X_762),complement(complement(meet(X_762,X_763)))),meet(X_762,X_763)) )],[refute_0_6965,refute_0_6968]) ).
cnf(refute_0_6970,plain,
join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590) = join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590),
introduced(tautology,[refl,[$fot(join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590))]]) ).
cnf(refute_0_6971,plain,
( join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590) != join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)
| meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)) != meet(X_762,X_763)
| join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590) = join(meet(X_762,X_763),X_1590) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590),join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) ),[1,0],$fot(meet(X_762,X_763))]]) ).
cnf(refute_0_6972,plain,
( meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)) != meet(X_762,X_763)
| join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590) = join(meet(X_762,X_763),X_1590) ),
inference(resolve,[$cnf( $equal(join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590),join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) )],[refute_0_6970,refute_0_6971]) ).
cnf(refute_0_6973,plain,
join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590) = join(meet(X_762,X_763),X_1590),
inference(resolve,[$cnf( $equal(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),meet(X_762,X_763)) )],[refute_0_6969,refute_0_6972]) ).
cnf(refute_0_6974,plain,
join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) = join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590),
inference(subst,[],[refute_0_871:[bind(X_45,$fot(join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)))]]) ).
cnf(refute_0_6975,plain,
( join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590) != join(meet(X_762,X_763),X_1590)
| join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) != join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)
| join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) = join(meet(X_762,X_763),X_1590) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)))),bind(Y,$fot(join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590))),bind(Z,$fot(join(meet(X_762,X_763),X_1590)))]]) ).
cnf(refute_0_6976,plain,
( join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590) != join(meet(X_762,X_763),X_1590)
| join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) = join(meet(X_762,X_763),X_1590) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)),join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) )],[refute_0_6974,refute_0_6975]) ).
cnf(refute_0_6977,plain,
join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) = join(meet(X_762,X_763),X_1590),
inference(resolve,[$cnf( $equal(join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590),join(meet(X_762,X_763),X_1590)) )],[refute_0_6973,refute_0_6976]) ).
cnf(refute_0_6978,plain,
( join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) != join(meet(X_762,X_763),X_1590)
| join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) != join(meet(X_763,X_762),X_1590)
| join(meet(X_762,X_763),X_1590) = join(meet(X_763,X_762),X_1590) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)),join(meet(X_763,X_762),X_1590)) ),[0],$fot(join(meet(X_762,X_763),X_1590))]]) ).
cnf(refute_0_6979,plain,
( join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)) != join(meet(X_763,X_762),X_1590)
| join(meet(X_762,X_763),X_1590) = join(meet(X_763,X_762),X_1590) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)),join(meet(X_762,X_763),X_1590)) )],[refute_0_6977,refute_0_6978]) ).
cnf(refute_0_6980,plain,
join(meet(X_762,X_763),X_1590) = join(meet(X_763,X_762),X_1590),
inference(resolve,[$cnf( $equal(join(zero,join(meet(complement(complement(meet(X_762,X_763))),meet(X_763,X_762)),X_1590)),join(meet(X_763,X_762),X_1590)) )],[refute_0_6958,refute_0_6979]) ).
cnf(refute_0_6981,plain,
( join(meet(X_762,X_763),X_1590) != join(meet(X_763,X_762),X_1590)
| join(meet(X_763,X_762),X_1590) = join(meet(X_762,X_763),X_1590) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(meet(X_762,X_763),X_1590))),bind(Y,$fot(join(meet(X_763,X_762),X_1590)))]]) ).
cnf(refute_0_6982,plain,
join(meet(X_763,X_762),X_1590) = join(meet(X_762,X_763),X_1590),
inference(resolve,[$cnf( $equal(join(meet(X_762,X_763),X_1590),join(meet(X_763,X_762),X_1590)) )],[refute_0_6980,refute_0_6981]) ).
cnf(refute_0_6983,plain,
join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) = join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607)),
inference(subst,[],[refute_0_6982:[bind(X_1590,$fot(join(zero,X_1607))),bind(X_762,$fot(join(X_577,X_576))),bind(X_763,$fot(composition(join(X_576,X_577),top)))]]) ).
cnf(refute_0_6984,plain,
( join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) != join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607))
| join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607)) != join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))
| join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) = join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)))),bind(Y,$fot(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607)))),bind(Z,$fot(join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))))]]) ).
cnf(refute_0_6985,plain,
( join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607)) != join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))
| join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) = join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)),join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607))) )],[refute_0_6983,refute_0_6984]) ).
cnf(refute_0_6986,plain,
join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) = join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),
inference(resolve,[$cnf( $equal(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1607)),join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) )],[refute_0_6954,refute_0_6985]) ).
cnf(refute_0_6987,plain,
( join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) != join(X_1607,join(X_577,X_576))
| join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) != join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))
| join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) = join(X_1607,join(X_577,X_576)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)))),bind(Y,$fot(join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))))),bind(Z,$fot(join(X_1607,join(X_577,X_576))))]]) ).
cnf(refute_0_6988,plain,
( join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) != join(X_1607,join(X_577,X_576))
| join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) = join(X_1607,join(X_577,X_576)) ),
inference(resolve,[$cnf( $equal(join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)),join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) )],[refute_0_6986,refute_0_6987]) ).
cnf(refute_0_6989,plain,
join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) = join(X_1607,join(X_577,X_576)),
inference(resolve,[$cnf( $equal(join(X_1607,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),join(X_1607,join(X_577,X_576))) )],[refute_0_6949,refute_0_6988]) ).
cnf(refute_0_6990,plain,
( join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) != join(X_1607,join(X_577,X_576))
| join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) != join(join(X_577,X_576),X_1607)
| join(X_1607,join(X_577,X_576)) = join(join(X_577,X_576),X_1607) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)),join(join(X_577,X_576),X_1607)) ),[0],$fot(join(X_1607,join(X_577,X_576)))]]) ).
cnf(refute_0_6991,plain,
( join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) != join(join(X_577,X_576),X_1607)
| join(X_1607,join(X_577,X_576)) = join(join(X_577,X_576),X_1607) ),
inference(resolve,[$cnf( $equal(join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)),join(X_1607,join(X_577,X_576))) )],[refute_0_6989,refute_0_6990]) ).
cnf(refute_0_6992,plain,
join(join(X_577,X_576),X_1607) = join(X_577,join(X_576,X_1607)),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_577)),bind(B,$fot(X_576)),bind(C,$fot(X_1607))]]) ).
cnf(refute_0_6993,plain,
( join(X_1607,join(X_577,X_576)) != join(join(X_577,X_576),X_1607)
| join(join(X_577,X_576),X_1607) != join(X_577,join(X_576,X_1607))
| join(X_1607,join(X_577,X_576)) = join(X_577,join(X_576,X_1607)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_1607,join(X_577,X_576)),join(X_577,join(X_576,X_1607))) ),[0],$fot(join(join(X_577,X_576),X_1607))]]) ).
cnf(refute_0_6994,plain,
( join(X_1607,join(X_577,X_576)) != join(join(X_577,X_576),X_1607)
| join(X_1607,join(X_577,X_576)) = join(X_577,join(X_576,X_1607)) ),
inference(resolve,[$cnf( $equal(join(join(X_577,X_576),X_1607),join(X_577,join(X_576,X_1607))) )],[refute_0_6992,refute_0_6993]) ).
cnf(refute_0_6995,plain,
( join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)) != join(join(X_577,X_576),X_1607)
| join(X_1607,join(X_577,X_576)) = join(X_577,join(X_576,X_1607)) ),
inference(resolve,[$cnf( $equal(join(X_1607,join(X_577,X_576)),join(join(X_577,X_576),X_1607)) )],[refute_0_6991,refute_0_6994]) ).
cnf(refute_0_6996,plain,
join(X_1607,join(X_577,X_576)) = join(X_577,join(X_576,X_1607)),
inference(resolve,[$cnf( $equal(join(meet(composition(join(X_576,X_577),top),join(X_577,X_576)),join(zero,X_1607)),join(join(X_577,X_576),X_1607)) )],[refute_0_6945,refute_0_6995]) ).
cnf(refute_0_6997,plain,
join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) = join(zero,join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))),
inference(subst,[],[refute_0_6996:[bind(X_1607,$fot(meet(join(X_577,X_576),composition(join(X_576,X_577),top)))),bind(X_576,$fot(X_1613)),bind(X_577,$fot(zero))]]) ).
cnf(refute_0_6998,plain,
( join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) != join(zero,join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))))
| join(zero,join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) != join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))
| join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) = join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)))),bind(Y,$fot(join(zero,join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))))),bind(Z,$fot(join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))))]]) ).
cnf(refute_0_6999,plain,
( join(zero,join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) != join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))
| join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) = join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)),join(zero,join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))))) )],[refute_0_6997,refute_0_6998]) ).
cnf(refute_0_7000,plain,
join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) = join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),
inference(resolve,[$cnf( $equal(join(zero,join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))),join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) )],[refute_0_6937,refute_0_6999]) ).
cnf(refute_0_7001,plain,
( join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) != join(X_1613,join(X_577,X_576))
| join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) != join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))
| join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) = join(X_1613,join(X_577,X_576)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)))),bind(Y,$fot(join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))))),bind(Z,$fot(join(X_1613,join(X_577,X_576))))]]) ).
cnf(refute_0_7002,plain,
( join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))) != join(X_1613,join(X_577,X_576))
| join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) = join(X_1613,join(X_577,X_576)) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)),join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top)))) )],[refute_0_7000,refute_0_7001]) ).
cnf(refute_0_7003,plain,
join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) = join(X_1613,join(X_577,X_576)),
inference(resolve,[$cnf( $equal(join(X_1613,meet(join(X_577,X_576),composition(join(X_576,X_577),top))),join(X_1613,join(X_577,X_576))) )],[refute_0_6936,refute_0_7002]) ).
cnf(refute_0_7004,plain,
( join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) != join(X_1613,join(X_577,X_576))
| join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) != join(join(X_577,X_576),X_1613)
| join(X_1613,join(X_577,X_576)) = join(join(X_577,X_576),X_1613) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)),join(join(X_577,X_576),X_1613)) ),[0],$fot(join(X_1613,join(X_577,X_576)))]]) ).
cnf(refute_0_7005,plain,
( join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) != join(join(X_577,X_576),X_1613)
| join(X_1613,join(X_577,X_576)) = join(join(X_577,X_576),X_1613) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)),join(X_1613,join(X_577,X_576))) )],[refute_0_7003,refute_0_7004]) ).
cnf(refute_0_7006,plain,
join(join(X_577,X_576),X_1613) = join(X_577,join(X_576,X_1613)),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_577)),bind(B,$fot(X_576)),bind(C,$fot(X_1613))]]) ).
cnf(refute_0_7007,plain,
( join(X_1613,join(X_577,X_576)) != join(join(X_577,X_576),X_1613)
| join(join(X_577,X_576),X_1613) != join(X_577,join(X_576,X_1613))
| join(X_1613,join(X_577,X_576)) = join(X_577,join(X_576,X_1613)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_1613,join(X_577,X_576)),join(X_577,join(X_576,X_1613))) ),[0],$fot(join(join(X_577,X_576),X_1613))]]) ).
cnf(refute_0_7008,plain,
( join(X_1613,join(X_577,X_576)) != join(join(X_577,X_576),X_1613)
| join(X_1613,join(X_577,X_576)) = join(X_577,join(X_576,X_1613)) ),
inference(resolve,[$cnf( $equal(join(join(X_577,X_576),X_1613),join(X_577,join(X_576,X_1613))) )],[refute_0_7006,refute_0_7007]) ).
cnf(refute_0_7009,plain,
( join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)) != join(join(X_577,X_576),X_1613)
| join(X_1613,join(X_577,X_576)) = join(X_577,join(X_576,X_1613)) ),
inference(resolve,[$cnf( $equal(join(X_1613,join(X_577,X_576)),join(join(X_577,X_576),X_1613)) )],[refute_0_7005,refute_0_7008]) ).
cnf(refute_0_7010,plain,
join(X_1613,join(X_577,X_576)) = join(X_577,join(X_576,X_1613)),
inference(resolve,[$cnf( $equal(join(meet(join(X_577,X_576),composition(join(X_576,X_577),top)),join(zero,X_1613)),join(join(X_577,X_576),X_1613)) )],[refute_0_6926,refute_0_7009]) ).
cnf(refute_0_7011,plain,
join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) = join(zero,join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))),
inference(subst,[],[refute_0_7010:[bind(X_1613,$fot(meet(meet(X_763,X_762),meet(X_762,X_763)))),bind(X_576,$fot(X_1613)),bind(X_577,$fot(zero))]]) ).
cnf(refute_0_7012,plain,
( join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) != join(zero,join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))))
| join(zero,join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))) != join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))
| join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) = join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)))),bind(Y,$fot(join(zero,join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))))),bind(Z,$fot(join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))))]]) ).
cnf(refute_0_7013,plain,
( join(zero,join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))) != join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))
| join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) = join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)),join(zero,join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))))) )],[refute_0_7011,refute_0_7012]) ).
cnf(refute_0_7014,plain,
join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) = join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))),
inference(resolve,[$cnf( $equal(join(zero,join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))),join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))) )],[refute_0_6905,refute_0_7013]) ).
cnf(refute_0_7015,plain,
( join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))) != join(X_1613,meet(X_762,X_763))
| join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) != join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))
| join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) = join(X_1613,meet(X_762,X_763)) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)))),bind(Y,$fot(join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))))),bind(Z,$fot(join(X_1613,meet(X_762,X_763))))]]) ).
cnf(refute_0_7016,plain,
( join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))) != join(X_1613,meet(X_762,X_763))
| join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) = join(X_1613,meet(X_762,X_763)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)),join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763)))) )],[refute_0_7014,refute_0_7015]) ).
cnf(refute_0_7017,plain,
join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) = join(X_1613,meet(X_762,X_763)),
inference(resolve,[$cnf( $equal(join(X_1613,meet(meet(X_763,X_762),meet(X_762,X_763))),join(X_1613,meet(X_762,X_763))) )],[refute_0_6904,refute_0_7016]) ).
cnf(refute_0_7018,plain,
( join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) != join(X_1613,meet(X_762,X_763))
| join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) != join(meet(X_763,X_762),X_1613)
| join(X_1613,meet(X_762,X_763)) = join(meet(X_763,X_762),X_1613) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)),join(meet(X_763,X_762),X_1613)) ),[0],$fot(join(X_1613,meet(X_762,X_763)))]]) ).
cnf(refute_0_7019,plain,
( join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)) != join(meet(X_763,X_762),X_1613)
| join(X_1613,meet(X_762,X_763)) = join(meet(X_763,X_762),X_1613) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)),join(X_1613,meet(X_762,X_763))) )],[refute_0_7017,refute_0_7018]) ).
cnf(refute_0_7020,plain,
join(X_1613,meet(X_762,X_763)) = join(meet(X_763,X_762),X_1613),
inference(resolve,[$cnf( $equal(join(meet(meet(X_763,X_762),meet(X_762,X_763)),join(zero,X_1613)),join(meet(X_763,X_762),X_1613)) )],[refute_0_6863,refute_0_7019]) ).
cnf(refute_0_7021,plain,
( join(X_1613,meet(X_762,X_763)) != join(meet(X_763,X_762),X_1613)
| join(meet(X_763,X_762),X_1613) = join(X_1613,meet(X_762,X_763)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_1613,meet(X_762,X_763)))),bind(Y,$fot(join(meet(X_763,X_762),X_1613)))]]) ).
cnf(refute_0_7022,plain,
join(meet(X_763,X_762),X_1613) = join(X_1613,meet(X_762,X_763)),
inference(resolve,[$cnf( $equal(join(X_1613,meet(X_762,X_763)),join(meet(X_763,X_762),X_1613)) )],[refute_0_7020,refute_0_7021]) ).
cnf(refute_0_7023,plain,
join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top)))) = join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924)),
inference(subst,[],[refute_0_7022:[bind(X_1613,$fot(complement(composition(top,composition(complement(X_1924),top))))),bind(X_762,$fot(composition(top,composition(converse(join(X_1925,one)),X_1924)))),bind(X_763,$fot(X_1924))]]) ).
cnf(refute_0_7024,plain,
( join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924)) != X_1924
| join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top)))) != join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924))
| join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top)))) = X_1924 ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top)))))),bind(Y,$fot(join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924)))),bind(Z,$fot(X_1924))]]) ).
cnf(refute_0_7025,plain,
( join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924)) != X_1924
| join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top)))) = X_1924 ),
inference(resolve,[$cnf( $equal(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top)))),join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924))) )],[refute_0_7023,refute_0_7024]) ).
cnf(refute_0_7026,plain,
join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top)))) = X_1924,
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(complement(X_1924),top))),meet(composition(top,composition(converse(join(X_1925,one)),X_1924)),X_1924)),X_1924) )],[refute_0_6855,refute_0_7025]) ).
cnf(refute_0_7027,plain,
( join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top)))) != X_1924
| meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top))))
| meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) = X_1924 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top))))) ),[1],$fot(X_1924)]]) ).
cnf(refute_0_7028,plain,
( meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top))))
| meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) = X_1924 ),
inference(resolve,[$cnf( $equal(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top)))),X_1924) )],[refute_0_7026,refute_0_7027]) ).
cnf(refute_0_7029,plain,
meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) = X_1924,
inference(resolve,[$cnf( $equal(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),complement(composition(top,composition(complement(X_1924),top))))) )],[refute_0_3372,refute_0_7028]) ).
cnf(refute_0_7030,plain,
join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),
introduced(tautology,[refl,[$fot(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))))]]) ).
cnf(refute_0_7031,plain,
( join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))
| meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) != X_1924
| join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(X_640,X_1924) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))) ),[1,1],$fot(X_1924)]]) ).
cnf(refute_0_7032,plain,
( meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) != X_1924
| join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(X_640,X_1924) ),
inference(resolve,[$cnf( $equal(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))))) )],[refute_0_7030,refute_0_7031]) ).
cnf(refute_0_7033,plain,
join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) = join(X_640,X_1924),
inference(resolve,[$cnf( $equal(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),X_1924) )],[refute_0_7029,refute_0_7032]) ).
cnf(refute_0_7034,plain,
( join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != join(X_640,X_1924)
| join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))
| join(X_640,X_1924) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))) ),[0],$fot(join(X_640,X_1924))]]) ).
cnf(refute_0_7035,plain,
( join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))
| join(X_640,X_1924) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) ),
inference(resolve,[$cnf( $equal(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),join(X_640,X_1924)) )],[refute_0_7033,refute_0_7034]) ).
cnf(refute_0_7036,plain,
join(join(X_213,meet(complement(X_213),X_643)),meet(X_643,join(X_213,meet(complement(X_213),X_643)))) = join(X_213,meet(complement(X_213),X_643)),
inference(subst,[],[refute_0_1921:[bind(X_42,$fot(X_643)),bind(X_642,$fot(join(X_213,meet(complement(X_213),X_643))))]]) ).
cnf(refute_0_7037,plain,
X_93 = meet(X_93,join(complement(complement(X_213)),meet(complement(X_213),X_93))),
inference(subst,[],[refute_0_4927:[bind(X_92,$fot(complement(X_213)))]]) ).
cnf(refute_0_7038,plain,
( X_93 != meet(X_93,join(complement(complement(X_213)),meet(complement(X_213),X_93)))
| complement(complement(X_213)) != X_213
| X_93 = meet(X_93,join(X_213,meet(complement(X_213),X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,meet(X_93,join(complement(complement(X_213)),meet(complement(X_213),X_93)))) ),[1,1,0],$fot(X_213)]]) ).
cnf(refute_0_7039,plain,
( X_93 != meet(X_93,join(complement(complement(X_213)),meet(complement(X_213),X_93)))
| X_93 = meet(X_93,join(X_213,meet(complement(X_213),X_93))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_213)),X_213) )],[refute_0_3419,refute_0_7038]) ).
cnf(refute_0_7040,plain,
X_93 = meet(X_93,join(X_213,meet(complement(X_213),X_93))),
inference(resolve,[$cnf( $equal(X_93,meet(X_93,join(complement(complement(X_213)),meet(complement(X_213),X_93)))) )],[refute_0_7037,refute_0_7039]) ).
cnf(refute_0_7041,plain,
X_643 = meet(X_643,join(X_213,meet(complement(X_213),X_643))),
inference(subst,[],[refute_0_7040:[bind(X_93,$fot(X_643))]]) ).
cnf(refute_0_7042,plain,
( X_643 != meet(X_643,join(X_213,meet(complement(X_213),X_643)))
| meet(X_643,join(X_213,meet(complement(X_213),X_643))) = X_643 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_643)),bind(Y,$fot(meet(X_643,join(X_213,meet(complement(X_213),X_643)))))]]) ).
cnf(refute_0_7043,plain,
meet(X_643,join(X_213,meet(complement(X_213),X_643))) = X_643,
inference(resolve,[$cnf( $equal(X_643,meet(X_643,join(X_213,meet(complement(X_213),X_643)))) )],[refute_0_7041,refute_0_7042]) ).
cnf(refute_0_7044,plain,
( join(join(X_213,meet(complement(X_213),X_643)),meet(X_643,join(X_213,meet(complement(X_213),X_643)))) != join(X_213,meet(complement(X_213),X_643))
| meet(X_643,join(X_213,meet(complement(X_213),X_643))) != X_643
| join(join(X_213,meet(complement(X_213),X_643)),X_643) = join(X_213,meet(complement(X_213),X_643)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_213,meet(complement(X_213),X_643)),meet(X_643,join(X_213,meet(complement(X_213),X_643)))),join(X_213,meet(complement(X_213),X_643))) ),[0,1],$fot(X_643)]]) ).
cnf(refute_0_7045,plain,
( join(join(X_213,meet(complement(X_213),X_643)),meet(X_643,join(X_213,meet(complement(X_213),X_643)))) != join(X_213,meet(complement(X_213),X_643))
| join(join(X_213,meet(complement(X_213),X_643)),X_643) = join(X_213,meet(complement(X_213),X_643)) ),
inference(resolve,[$cnf( $equal(meet(X_643,join(X_213,meet(complement(X_213),X_643))),X_643) )],[refute_0_7043,refute_0_7044]) ).
cnf(refute_0_7046,plain,
join(join(X_213,meet(complement(X_213),X_643)),X_643) = join(X_213,meet(complement(X_213),X_643)),
inference(resolve,[$cnf( $equal(join(join(X_213,meet(complement(X_213),X_643)),meet(X_643,join(X_213,meet(complement(X_213),X_643)))),join(X_213,meet(complement(X_213),X_643))) )],[refute_0_7036,refute_0_7045]) ).
cnf(refute_0_7047,plain,
join(X_643,join(X_213,meet(complement(X_213),X_643))) = join(X_213,X_643),
inference(subst,[],[refute_0_4475:[bind(X_119,$fot(X_643)),bind(X_120,$fot(X_213)),bind(X_643,$fot(complement(X_213)))]]) ).
cnf(refute_0_7048,plain,
join(join(X_213,meet(complement(X_213),X_643)),X_643) = join(X_643,join(X_213,meet(complement(X_213),X_643))),
inference(subst,[],[refute_0_140:[bind(X_119,$fot(X_643)),bind(X_120,$fot(join(X_213,meet(complement(X_213),X_643))))]]) ).
cnf(refute_0_7049,plain,
( join(X_643,join(X_213,meet(complement(X_213),X_643))) != join(X_213,X_643)
| join(join(X_213,meet(complement(X_213),X_643)),X_643) != join(X_643,join(X_213,meet(complement(X_213),X_643)))
| join(join(X_213,meet(complement(X_213),X_643)),X_643) = join(X_213,X_643) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(join(X_213,meet(complement(X_213),X_643)),X_643))),bind(Y,$fot(join(X_643,join(X_213,meet(complement(X_213),X_643))))),bind(Z,$fot(join(X_213,X_643)))]]) ).
cnf(refute_0_7050,plain,
( join(X_643,join(X_213,meet(complement(X_213),X_643))) != join(X_213,X_643)
| join(join(X_213,meet(complement(X_213),X_643)),X_643) = join(X_213,X_643) ),
inference(resolve,[$cnf( $equal(join(join(X_213,meet(complement(X_213),X_643)),X_643),join(X_643,join(X_213,meet(complement(X_213),X_643)))) )],[refute_0_7048,refute_0_7049]) ).
cnf(refute_0_7051,plain,
join(join(X_213,meet(complement(X_213),X_643)),X_643) = join(X_213,X_643),
inference(resolve,[$cnf( $equal(join(X_643,join(X_213,meet(complement(X_213),X_643))),join(X_213,X_643)) )],[refute_0_7047,refute_0_7050]) ).
cnf(refute_0_7052,plain,
( join(join(X_213,meet(complement(X_213),X_643)),X_643) != join(X_213,X_643)
| join(join(X_213,meet(complement(X_213),X_643)),X_643) != join(X_213,meet(complement(X_213),X_643))
| join(X_213,X_643) = join(X_213,meet(complement(X_213),X_643)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_213,meet(complement(X_213),X_643)),X_643),join(X_213,meet(complement(X_213),X_643))) ),[0],$fot(join(X_213,X_643))]]) ).
cnf(refute_0_7053,plain,
( join(join(X_213,meet(complement(X_213),X_643)),X_643) != join(X_213,meet(complement(X_213),X_643))
| join(X_213,X_643) = join(X_213,meet(complement(X_213),X_643)) ),
inference(resolve,[$cnf( $equal(join(join(X_213,meet(complement(X_213),X_643)),X_643),join(X_213,X_643)) )],[refute_0_7051,refute_0_7052]) ).
cnf(refute_0_7054,plain,
join(X_213,X_643) = join(X_213,meet(complement(X_213),X_643)),
inference(resolve,[$cnf( $equal(join(join(X_213,meet(complement(X_213),X_643)),X_643),join(X_213,meet(complement(X_213),X_643))) )],[refute_0_7046,refute_0_7053]) ).
cnf(refute_0_7055,plain,
( join(X_213,X_643) != join(X_213,meet(complement(X_213),X_643))
| join(X_213,meet(complement(X_213),X_643)) = join(X_213,X_643) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_213,X_643))),bind(Y,$fot(join(X_213,meet(complement(X_213),X_643))))]]) ).
cnf(refute_0_7056,plain,
join(X_213,meet(complement(X_213),X_643)) = join(X_213,X_643),
inference(resolve,[$cnf( $equal(join(X_213,X_643),join(X_213,meet(complement(X_213),X_643))) )],[refute_0_7054,refute_0_7055]) ).
cnf(refute_0_7057,plain,
join(X_1924,meet(complement(X_1924),X_640)) = join(X_1924,X_640),
inference(subst,[],[refute_0_7056:[bind(X_213,$fot(X_1924)),bind(X_643,$fot(X_640))]]) ).
cnf(refute_0_7058,plain,
join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) = join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)),
introduced(tautology,[refl,[$fot(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)))]]) ).
cnf(refute_0_7059,plain,
( join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))
| meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) != X_1924
| join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) = join(X_1924,meet(complement(X_1924),X_640)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))) ),[1,0],$fot(X_1924)]]) ).
cnf(refute_0_7060,plain,
( meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))) != X_1924
| join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) = join(X_1924,meet(complement(X_1924),X_640)) ),
inference(resolve,[$cnf( $equal(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))) )],[refute_0_7058,refute_0_7059]) ).
cnf(refute_0_7061,plain,
join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) = join(X_1924,meet(complement(X_1924),X_640)),
inference(resolve,[$cnf( $equal(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),X_1924) )],[refute_0_7029,refute_0_7060]) ).
cnf(refute_0_7062,plain,
( join(X_1924,meet(complement(X_1924),X_640)) != join(X_1924,X_640)
| join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) != join(X_1924,meet(complement(X_1924),X_640))
| join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) = join(X_1924,X_640) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)))),bind(Y,$fot(join(X_1924,meet(complement(X_1924),X_640)))),bind(Z,$fot(join(X_1924,X_640)))]]) ).
cnf(refute_0_7063,plain,
( join(X_1924,meet(complement(X_1924),X_640)) != join(X_1924,X_640)
| join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) = join(X_1924,X_640) ),
inference(resolve,[$cnf( $equal(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)),join(X_1924,meet(complement(X_1924),X_640))) )],[refute_0_7061,refute_0_7062]) ).
cnf(refute_0_7064,plain,
join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) = join(X_1924,X_640),
inference(resolve,[$cnf( $equal(join(X_1924,meet(complement(X_1924),X_640)),join(X_1924,X_640)) )],[refute_0_7057,refute_0_7063]) ).
cnf(refute_0_7065,plain,
( join(X_640,X_1924) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))
| join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)) != join(X_1924,X_640)
| join(X_640,X_1924) = join(X_1924,X_640) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_640,X_1924),join(X_1924,X_640)) ),[0],$fot(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)))]]) ).
cnf(refute_0_7066,plain,
( join(X_640,X_1924) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))
| join(X_640,X_1924) = join(X_1924,X_640) ),
inference(resolve,[$cnf( $equal(join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640)),join(X_1924,X_640)) )],[refute_0_7064,refute_0_7065]) ).
cnf(refute_0_7067,plain,
( join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))) != join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))
| join(X_640,X_1924) = join(X_1924,X_640) ),
inference(resolve,[$cnf( $equal(join(X_640,X_1924),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))) )],[refute_0_7035,refute_0_7066]) ).
cnf(refute_0_7068,plain,
join(X_640,X_1924) = join(X_1924,X_640),
inference(resolve,[$cnf( $equal(join(X_640,meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924)))),join(meet(X_1924,composition(top,composition(converse(join(X_1925,one)),X_1924))),meet(complement(X_1924),X_640))) )],[refute_0_3008,refute_0_7067]) ).
cnf(refute_0_7069,plain,
( join(X_640,X_1924) != join(X_1924,X_640)
| join(X_1924,X_640) = join(X_640,X_1924) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(X_640,X_1924))),bind(Y,$fot(join(X_1924,X_640)))]]) ).
cnf(refute_0_7070,plain,
join(X_1924,X_640) = join(X_640,X_1924),
inference(resolve,[$cnf( $equal(join(X_640,X_1924),join(X_1924,X_640)) )],[refute_0_7068,refute_0_7069]) ).
cnf(refute_0_7071,plain,
join(composition(X_42,composition(converse(X_42),X_42)),X_42) = join(X_42,composition(X_42,composition(converse(X_42),X_42))),
inference(subst,[],[refute_0_7070:[bind(X_1924,$fot(composition(X_42,composition(converse(X_42),X_42)))),bind(X_640,$fot(X_42))]]) ).
cnf(refute_0_7072,plain,
( join(X_42,composition(X_42,composition(converse(X_42),X_42))) != composition(X_42,join(one,composition(converse(X_42),X_42)))
| join(composition(X_42,composition(converse(X_42),X_42)),X_42) != join(X_42,composition(X_42,composition(converse(X_42),X_42)))
| join(composition(X_42,composition(converse(X_42),X_42)),X_42) = composition(X_42,join(one,composition(converse(X_42),X_42))) ),
inference(subst,[],[refute_0_131:[bind(X,$fot(join(composition(X_42,composition(converse(X_42),X_42)),X_42))),bind(Y,$fot(join(X_42,composition(X_42,composition(converse(X_42),X_42))))),bind(Z,$fot(composition(X_42,join(one,composition(converse(X_42),X_42)))))]]) ).
cnf(refute_0_7073,plain,
( join(X_42,composition(X_42,composition(converse(X_42),X_42))) != composition(X_42,join(one,composition(converse(X_42),X_42)))
| join(composition(X_42,composition(converse(X_42),X_42)),X_42) = composition(X_42,join(one,composition(converse(X_42),X_42))) ),
inference(resolve,[$cnf( $equal(join(composition(X_42,composition(converse(X_42),X_42)),X_42),join(X_42,composition(X_42,composition(converse(X_42),X_42)))) )],[refute_0_7071,refute_0_7072]) ).
cnf(refute_0_7074,plain,
join(composition(X_42,composition(converse(X_42),X_42)),X_42) = composition(X_42,join(one,composition(converse(X_42),X_42))),
inference(resolve,[$cnf( $equal(join(X_42,composition(X_42,composition(converse(X_42),X_42))),composition(X_42,join(one,composition(converse(X_42),X_42)))) )],[refute_0_2769,refute_0_7073]) ).
cnf(refute_0_7075,plain,
( join(composition(X_42,composition(converse(X_42),X_42)),X_42) != composition(X_42,composition(converse(X_42),X_42))
| join(composition(X_42,composition(converse(X_42),X_42)),X_42) != composition(X_42,join(one,composition(converse(X_42),X_42)))
| composition(X_42,join(one,composition(converse(X_42),X_42))) = composition(X_42,composition(converse(X_42),X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_42,composition(converse(X_42),X_42)),X_42),composition(X_42,composition(converse(X_42),X_42))) ),[0],$fot(composition(X_42,join(one,composition(converse(X_42),X_42))))]]) ).
cnf(refute_0_7076,plain,
( join(composition(X_42,composition(converse(X_42),X_42)),X_42) != composition(X_42,composition(converse(X_42),X_42))
| composition(X_42,join(one,composition(converse(X_42),X_42))) = composition(X_42,composition(converse(X_42),X_42)) ),
inference(resolve,[$cnf( $equal(join(composition(X_42,composition(converse(X_42),X_42)),X_42),composition(X_42,join(one,composition(converse(X_42),X_42)))) )],[refute_0_7074,refute_0_7075]) ).
cnf(refute_0_7077,plain,
composition(X_42,join(one,composition(converse(X_42),X_42))) = composition(X_42,composition(converse(X_42),X_42)),
inference(resolve,[$cnf( $equal(join(composition(X_42,composition(converse(X_42),X_42)),X_42),composition(X_42,composition(converse(X_42),X_42))) )],[refute_0_2766,refute_0_7076]) ).
cnf(refute_0_7078,plain,
composition(sk1,join(one,composition(converse(sk1),sk1))) = composition(sk1,composition(converse(sk1),sk1)),
inference(subst,[],[refute_0_7077:[bind(X_42,$fot(sk1))]]) ).
cnf(refute_0_7079,plain,
( composition(sk1,composition(converse(sk1),sk1)) != composition(sk1,composition(converse(sk1),sk1))
| composition(sk1,join(one,composition(converse(sk1),sk1))) != composition(sk1,composition(converse(sk1),sk1))
| composition(sk1,join(one,composition(converse(sk1),sk1))) = composition(sk1,composition(converse(sk1),sk1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(sk1,join(one,composition(converse(sk1),sk1))),composition(sk1,composition(converse(sk1),sk1))) ),[1],$fot(composition(sk1,composition(converse(sk1),sk1)))]]) ).
cnf(refute_0_7080,plain,
( composition(sk1,composition(converse(sk1),sk1)) != composition(sk1,composition(converse(sk1),sk1))
| composition(sk1,join(one,composition(converse(sk1),sk1))) = composition(sk1,composition(converse(sk1),sk1)) ),
inference(resolve,[$cnf( $equal(composition(sk1,join(one,composition(converse(sk1),sk1))),composition(sk1,composition(converse(sk1),sk1))) )],[refute_0_7078,refute_0_7079]) ).
cnf(refute_0_7081,plain,
composition(sk1,composition(converse(sk1),sk1)) != composition(sk1,composition(converse(sk1),sk1)),
inference(resolve,[$cnf( $equal(composition(sk1,join(one,composition(converse(sk1),sk1))),composition(sk1,composition(converse(sk1),sk1))) )],[refute_0_7080,refute_0_1798]) ).
cnf(refute_0_7082,plain,
composition(sk1,composition(converse(sk1),sk1)) = composition(sk1,composition(converse(sk1),sk1)),
introduced(tautology,[refl,[$fot(composition(sk1,composition(converse(sk1),sk1)))]]) ).
cnf(refute_0_7083,plain,
$false,
inference(resolve,[$cnf( $equal(composition(sk1,composition(converse(sk1),sk1)),composition(sk1,composition(converse(sk1),sk1))) )],[refute_0_7082,refute_0_7081]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL045-2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n022.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 15:52:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 247.26/247.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 247.26/247.48
% 247.26/247.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 248.05/248.35
%------------------------------------------------------------------------------