%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL042+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 19:45:49 EDT 2022
% Result : Theorem 186.85s 187.05s
% Output : CNFRefutation 187.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 187
% Number of leaves : 1090
% Syntax : Number of formulae : 4629 (2311 unt; 0 def)
% Number of atoms : 7971 (7970 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 6686 (3344 ~;3337 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 6868 ( 154 sgn 94 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).
fof(composition_associativity,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(modular_law_2,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) ).
fof(goals,conjecture,
! [X0] :
( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
=> join(composition(converse(X0),X0),one) = one ) ).
fof(subgoal_0,plain,
! [X0] :
( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
=> join(composition(converse(X0),X0),one) = one ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
=> join(composition(converse(X0),X0),one) = one ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_1,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[maddux3_a_kind_of_de_Morgan]) ).
fof(normalize_0_3,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_5,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_7,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_9,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_11,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_13,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_15,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_17,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_19,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_21,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_23,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
? [X0] :
( join(composition(converse(X0),X0),one) != one
& ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_25,plain,
( join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) != one
& ! [X1] : meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))) = zero ),
inference(skolemize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X1] : meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))) = zero,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X1] : meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))) = zero,
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),
inference(canonicalize,[],[modular_law_2]) ).
fof(normalize_0_29,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_0_31,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) != one,
inference(conjunct,[],[normalize_0_25]) ).
cnf(refute_0_0,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
join(meet(X_239,X_238),join(meet(X_238,complement(X_239)),X2)) = join(join(meet(X_239,X_238),meet(X_238,complement(X_239))),X2),
inference(subst,[],[refute_0_0:[bind(X0,$fot(meet(X_239,X_238))),bind(X1,$fot(meet(X_238,complement(X_239))))]]) ).
cnf(refute_0_2,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_8,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_10,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) ),[0],$fot(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_11,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_14,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_15,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_16,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_18,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) ),[1,1],$fot(meet(X0,X1))]]) ).
cnf(refute_0_19,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_22,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_21]) ).
cnf(refute_0_23,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),bind(Y,$fot(join(complement(join(complement(X0),X1)),meet(X0,X1)))),bind(Z,$fot(join(meet(X0,X1),complement(join(complement(X0),X1)))))]]) ).
cnf(refute_0_24,plain,
( join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_13,refute_0_24]) ).
cnf(refute_0_26,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(meet(X0,X1),complement(join(complement(X0),X1)))) ),[0],$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_27,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_12,refute_0_27]) ).
cnf(refute_0_29,plain,
X_96 = join(meet(X_96,X_97),complement(join(complement(X_96),X_97))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(X_96)),bind(X1,$fot(X_97))]]) ).
cnf(refute_0_30,plain,
meet(X_7,X_8) = complement(join(complement(X_7),complement(X_8))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_7)),bind(X1,$fot(X_8))]]) ).
cnf(refute_0_31,plain,
join(complement(X_8),complement(X_7)) = join(complement(X_7),complement(X_8)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(complement(X_8))),bind(X1,$fot(complement(X_7)))]]) ).
cnf(refute_0_32,plain,
( join(complement(X_8),complement(X_7)) != join(complement(X_7),complement(X_8))
| join(complement(X_7),complement(X_8)) = join(complement(X_8),complement(X_7)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_8),complement(X_7)))),bind(Y,$fot(join(complement(X_7),complement(X_8))))]]) ).
cnf(refute_0_33,plain,
join(complement(X_7),complement(X_8)) = join(complement(X_8),complement(X_7)),
inference(resolve,[$cnf( $equal(join(complement(X_8),complement(X_7)),join(complement(X_7),complement(X_8))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( join(complement(X_7),complement(X_8)) != join(complement(X_8),complement(X_7))
| meet(X_7,X_8) != complement(join(complement(X_7),complement(X_8)))
| meet(X_7,X_8) = complement(join(complement(X_8),complement(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_7,X_8),complement(join(complement(X_7),complement(X_8)))) ),[1,0],$fot(join(complement(X_8),complement(X_7)))]]) ).
cnf(refute_0_35,plain,
( meet(X_7,X_8) != complement(join(complement(X_7),complement(X_8)))
| meet(X_7,X_8) = complement(join(complement(X_8),complement(X_7))) ),
inference(resolve,[$cnf( $equal(join(complement(X_7),complement(X_8)),join(complement(X_8),complement(X_7))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
meet(X_7,X_8) = complement(join(complement(X_8),complement(X_7))),
inference(resolve,[$cnf( $equal(meet(X_7,X_8),complement(join(complement(X_7),complement(X_8)))) )],[refute_0_30,refute_0_35]) ).
cnf(refute_0_37,plain,
complement(join(complement(X_8),complement(X_7))) = meet(X_8,X_7),
inference(subst,[],[refute_0_16:[bind(X0,$fot(X_8)),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_38,plain,
( complement(join(complement(X_8),complement(X_7))) != meet(X_8,X_7)
| meet(X_7,X_8) != complement(join(complement(X_8),complement(X_7)))
| meet(X_7,X_8) = meet(X_8,X_7) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_7,X_8),complement(join(complement(X_8),complement(X_7)))) ),[1],$fot(meet(X_8,X_7))]]) ).
cnf(refute_0_39,plain,
( meet(X_7,X_8) != complement(join(complement(X_8),complement(X_7)))
| meet(X_7,X_8) = meet(X_8,X_7) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_8),complement(X_7))),meet(X_8,X_7)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
meet(X_7,X_8) = meet(X_8,X_7),
inference(resolve,[$cnf( $equal(meet(X_7,X_8),complement(join(complement(X_8),complement(X_7)))) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
meet(X_97,X_96) = meet(X_96,X_97),
inference(subst,[],[refute_0_40:[bind(X_7,$fot(X_97)),bind(X_8,$fot(X_96))]]) ).
cnf(refute_0_42,plain,
( meet(X_97,X_96) != meet(X_96,X_97)
| meet(X_96,X_97) = meet(X_97,X_96) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_97,X_96))),bind(Y,$fot(meet(X_96,X_97)))]]) ).
cnf(refute_0_43,plain,
meet(X_96,X_97) = meet(X_97,X_96),
inference(resolve,[$cnf( $equal(meet(X_97,X_96),meet(X_96,X_97)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( X_96 != join(meet(X_96,X_97),complement(join(complement(X_96),X_97)))
| meet(X_96,X_97) != meet(X_97,X_96)
| X_96 = join(meet(X_97,X_96),complement(join(complement(X_96),X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(X_96,join(meet(X_96,X_97),complement(join(complement(X_96),X_97)))) ),[1,0],$fot(meet(X_97,X_96))]]) ).
cnf(refute_0_45,plain,
( X_96 != join(meet(X_96,X_97),complement(join(complement(X_96),X_97)))
| X_96 = join(meet(X_97,X_96),complement(join(complement(X_96),X_97))) ),
inference(resolve,[$cnf( $equal(meet(X_96,X_97),meet(X_97,X_96)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
X_96 = join(meet(X_97,X_96),complement(join(complement(X_96),X_97))),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,X_97),complement(join(complement(X_96),X_97)))) )],[refute_0_29,refute_0_45]) ).
cnf(refute_0_47,plain,
meet(X0,join(zero,complement(X_19))) = complement(join(complement(X0),complement(join(zero,complement(X_19))))),
inference(subst,[],[refute_0_14:[bind(X1,$fot(join(zero,complement(X_19))))]]) ).
cnf(refute_0_48,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(top))]]) ).
cnf(refute_0_49,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_50,plain,
zero = meet(join(complement(X_7),complement(X_8)),complement(join(complement(X_7),complement(X_8)))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(complement(X_7),complement(X_8))))]]) ).
cnf(refute_0_51,plain,
( meet(X_7,X_8) != complement(join(complement(X_7),complement(X_8)))
| complement(join(complement(X_7),complement(X_8))) = meet(X_7,X_8) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_7,X_8))),bind(Y,$fot(complement(join(complement(X_7),complement(X_8)))))]]) ).
cnf(refute_0_52,plain,
complement(join(complement(X_7),complement(X_8))) = meet(X_7,X_8),
inference(resolve,[$cnf( $equal(meet(X_7,X_8),complement(join(complement(X_7),complement(X_8)))) )],[refute_0_30,refute_0_51]) ).
cnf(refute_0_53,plain,
( complement(join(complement(X_7),complement(X_8))) != meet(X_7,X_8)
| zero != meet(join(complement(X_7),complement(X_8)),complement(join(complement(X_7),complement(X_8))))
| zero = meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_7),complement(X_8)),complement(join(complement(X_7),complement(X_8))))) ),[1,1],$fot(meet(X_7,X_8))]]) ).
cnf(refute_0_54,plain,
( zero != meet(join(complement(X_7),complement(X_8)),complement(join(complement(X_7),complement(X_8))))
| zero = meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_7),complement(X_8))),meet(X_7,X_8)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
zero = meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_7),complement(X_8)),complement(join(complement(X_7),complement(X_8))))) )],[refute_0_50,refute_0_54]) ).
cnf(refute_0_56,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_57,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_58,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
join(meet(X_7,X_8),complement(meet(X_7,X_8))) = top,
inference(subst,[],[refute_0_58:[bind(X0,$fot(meet(X_7,X_8)))]]) ).
cnf(refute_0_60,plain,
complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))) = complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))))]]) ).
cnf(refute_0_61,plain,
( complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))) != complement(join(meet(X_7,X_8),complement(meet(X_7,X_8))))
| join(meet(X_7,X_8),complement(meet(X_7,X_8))) != top
| complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))),complement(join(meet(X_7,X_8),complement(meet(X_7,X_8))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_62,plain,
( join(meet(X_7,X_8),complement(meet(X_7,X_8))) != top
| complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))),complement(join(meet(X_7,X_8),complement(meet(X_7,X_8))))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_7,X_8),complement(meet(X_7,X_8))),top) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
meet(join(complement(X_7),complement(X_8)),X1) = complement(join(complement(join(complement(X_7),complement(X_8))),complement(X1))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(join(complement(X_7),complement(X_8))))]]) ).
cnf(refute_0_65,plain,
( complement(join(complement(X_7),complement(X_8))) != meet(X_7,X_8)
| meet(join(complement(X_7),complement(X_8)),X1) != complement(join(complement(join(complement(X_7),complement(X_8))),complement(X1)))
| meet(join(complement(X_7),complement(X_8)),X1) = complement(join(meet(X_7,X_8),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_7),complement(X_8)),X1),complement(join(complement(join(complement(X_7),complement(X_8))),complement(X1)))) ),[1,0,0],$fot(meet(X_7,X_8))]]) ).
cnf(refute_0_66,plain,
( meet(join(complement(X_7),complement(X_8)),X1) != complement(join(complement(join(complement(X_7),complement(X_8))),complement(X1)))
| meet(join(complement(X_7),complement(X_8)),X1) = complement(join(meet(X_7,X_8),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_7),complement(X_8))),meet(X_7,X_8)) )],[refute_0_52,refute_0_65]) ).
cnf(refute_0_67,plain,
meet(join(complement(X_7),complement(X_8)),X1) = complement(join(meet(X_7,X_8),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_7),complement(X_8)),X1),complement(join(complement(join(complement(X_7),complement(X_8))),complement(X1)))) )],[refute_0_64,refute_0_66]) ).
cnf(refute_0_68,plain,
meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8)) = complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))),
inference(subst,[],[refute_0_67:[bind(X1,$fot(meet(X_7,X_8)))]]) ).
cnf(refute_0_69,plain,
( complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))) != complement(top)
| meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8)) != complement(join(meet(X_7,X_8),complement(meet(X_7,X_8))))
| meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8)) = complement(top) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8)))),bind(Y,$fot(complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_70,plain,
( complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))) != complement(top)
| meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8)),complement(join(meet(X_7,X_8),complement(meet(X_7,X_8))))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_7,X_8),complement(meet(X_7,X_8)))),complement(top)) )],[refute_0_63,refute_0_70]) ).
cnf(refute_0_72,plain,
( meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8)) != complement(top)
| zero != meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_73,plain,
( zero != meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8)),complement(top)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_7),complement(X_8)),meet(X_7,X_8))) )],[refute_0_55,refute_0_73]) ).
cnf(refute_0_75,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_76,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( complement(top) != zero
| meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_78,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_48,refute_0_78]) ).
cnf(refute_0_80,plain,
meet(top,X_19) = complement(join(zero,complement(X_19))),
inference(subst,[],[refute_0_79:[bind(X1,$fot(X_19))]]) ).
cnf(refute_0_81,plain,
( meet(top,X_19) != complement(join(zero,complement(X_19)))
| complement(join(zero,complement(X_19))) = meet(top,X_19) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(top,X_19))),bind(Y,$fot(complement(join(zero,complement(X_19)))))]]) ).
cnf(refute_0_82,plain,
complement(join(zero,complement(X_19))) = meet(top,X_19),
inference(resolve,[$cnf( $equal(meet(top,X_19),complement(join(zero,complement(X_19)))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( complement(join(zero,complement(X_19))) != meet(top,X_19)
| meet(X0,join(zero,complement(X_19))) != complement(join(complement(X0),complement(join(zero,complement(X_19)))))
| meet(X0,join(zero,complement(X_19))) = complement(join(complement(X0),meet(top,X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_19))),complement(join(complement(X0),complement(join(zero,complement(X_19)))))) ),[1,0,1],$fot(meet(top,X_19))]]) ).
cnf(refute_0_84,plain,
( meet(X0,join(zero,complement(X_19))) != complement(join(complement(X0),complement(join(zero,complement(X_19)))))
| meet(X0,join(zero,complement(X_19))) = complement(join(complement(X0),meet(top,X_19))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_19))),meet(top,X_19)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
meet(X0,join(zero,complement(X_19))) = complement(join(complement(X0),meet(top,X_19))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_19))),complement(join(complement(X0),complement(join(zero,complement(X_19)))))) )],[refute_0_47,refute_0_84]) ).
cnf(refute_0_86,plain,
join(zero,join(zero,X2)) = join(join(zero,zero),X2),
inference(subst,[],[refute_0_0:[bind(X0,$fot(zero)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_87,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_88,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_89,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) ),[0],$fot(join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_90,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
join(complement(X_65),composition(converse(one),complement(composition(one,X_65)))) = complement(X_65),
inference(subst,[],[refute_0_91:[bind(X0,$fot(one)),bind(X1,$fot(X_65))]]) ).
cnf(refute_0_93,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_94,plain,
converse(composition(converse(X0),X_12)) = composition(converse(X_12),converse(converse(X0))),
inference(subst,[],[refute_0_93:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_12))]]) ).
cnf(refute_0_95,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_96,plain,
( converse(composition(converse(X0),X_12)) != composition(converse(X_12),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_12)) = composition(converse(X_12),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_12)),composition(converse(X_12),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_97,plain,
( converse(composition(converse(X0),X_12)) != composition(converse(X_12),converse(converse(X0)))
| converse(composition(converse(X0),X_12)) = composition(converse(X_12),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
converse(composition(converse(X0),X_12)) = composition(converse(X_12),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_12)),composition(converse(X_12),converse(converse(X0)))) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
converse(composition(converse(X_13),one)) = composition(converse(one),X_13),
inference(subst,[],[refute_0_98:[bind(X0,$fot(X_13)),bind(X_12,$fot(one))]]) ).
cnf(refute_0_100,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_101,plain,
composition(converse(X_13),one) = converse(X_13),
inference(subst,[],[refute_0_100:[bind(X0,$fot(converse(X_13)))]]) ).
cnf(refute_0_102,plain,
( composition(converse(X_13),one) != converse(X_13)
| converse(composition(converse(X_13),one)) != composition(converse(one),X_13)
| converse(converse(X_13)) = composition(converse(one),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_13),one)),composition(converse(one),X_13)) ),[0,0],$fot(converse(X_13))]]) ).
cnf(refute_0_103,plain,
( converse(composition(converse(X_13),one)) != composition(converse(one),X_13)
| converse(converse(X_13)) = composition(converse(one),X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(X_13),one),converse(X_13)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
converse(converse(X_13)) = composition(converse(one),X_13),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_13),one)),composition(converse(one),X_13)) )],[refute_0_99,refute_0_103]) ).
cnf(refute_0_105,plain,
converse(converse(X_13)) = X_13,
inference(subst,[],[refute_0_95:[bind(X0,$fot(X_13))]]) ).
cnf(refute_0_106,plain,
( converse(converse(X_13)) != X_13
| converse(converse(X_13)) != composition(converse(one),X_13)
| X_13 = composition(converse(one),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_13)),composition(converse(one),X_13)) ),[0],$fot(X_13)]]) ).
cnf(refute_0_107,plain,
( converse(converse(X_13)) != composition(converse(one),X_13)
| X_13 = composition(converse(one),X_13) ),
inference(resolve,[$cnf( $equal(converse(converse(X_13)),X_13) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
X_13 = composition(converse(one),X_13),
inference(resolve,[$cnf( $equal(converse(converse(X_13)),composition(converse(one),X_13)) )],[refute_0_104,refute_0_107]) ).
cnf(refute_0_109,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_100:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_110,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_108:[bind(X_13,$fot(one))]]) ).
cnf(refute_0_111,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_112,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_114,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_109,refute_0_114]) ).
cnf(refute_0_116,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_117,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
composition(converse(one),X_13) = composition(converse(one),X_13),
introduced(tautology,[refl,[$fot(composition(converse(one),X_13))]]) ).
cnf(refute_0_119,plain,
( composition(converse(one),X_13) != composition(converse(one),X_13)
| converse(one) != one
| composition(converse(one),X_13) = composition(one,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_13),composition(converse(one),X_13)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_120,plain,
( converse(one) != one
| composition(converse(one),X_13) = composition(one,X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_13),composition(converse(one),X_13)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
composition(converse(one),X_13) = composition(one,X_13),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
( X_13 != composition(converse(one),X_13)
| composition(converse(one),X_13) != composition(one,X_13)
| X_13 = composition(one,X_13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_13,composition(one,X_13)) ),[0],$fot(composition(converse(one),X_13))]]) ).
cnf(refute_0_123,plain,
( X_13 != composition(converse(one),X_13)
| X_13 = composition(one,X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_13),composition(one,X_13)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
X_13 = composition(one,X_13),
inference(resolve,[$cnf( $equal(X_13,composition(converse(one),X_13)) )],[refute_0_108,refute_0_123]) ).
cnf(refute_0_125,plain,
X_65 = composition(one,X_65),
inference(subst,[],[refute_0_124:[bind(X_13,$fot(X_65))]]) ).
cnf(refute_0_126,plain,
( X_65 != composition(one,X_65)
| composition(one,X_65) = X_65 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_65)),bind(Y,$fot(composition(one,X_65)))]]) ).
cnf(refute_0_127,plain,
composition(one,X_65) = X_65,
inference(resolve,[$cnf( $equal(X_65,composition(one,X_65)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
( composition(one,X_65) != X_65
| join(complement(X_65),composition(converse(one),complement(composition(one,X_65)))) != complement(X_65)
| join(complement(X_65),composition(converse(one),complement(X_65))) = complement(X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),composition(converse(one),complement(composition(one,X_65)))),complement(X_65)) ),[0,1,1,0],$fot(X_65)]]) ).
cnf(refute_0_129,plain,
( join(complement(X_65),composition(converse(one),complement(composition(one,X_65)))) != complement(X_65)
| join(complement(X_65),composition(converse(one),complement(X_65))) = complement(X_65) ),
inference(resolve,[$cnf( $equal(composition(one,X_65),X_65) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
join(complement(X_65),composition(converse(one),complement(X_65))) = complement(X_65),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(converse(one),complement(composition(one,X_65)))),complement(X_65)) )],[refute_0_92,refute_0_129]) ).
cnf(refute_0_131,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_132,plain,
converse(join(X_25,one)) = join(converse(X_25),converse(one)),
inference(subst,[],[refute_0_131:[bind(X0,$fot(X_25)),bind(X1,$fot(one))]]) ).
cnf(refute_0_133,plain,
( converse(join(X_25,one)) != join(converse(X_25),converse(one))
| converse(one) != one
| converse(join(X_25,one)) = join(converse(X_25),one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_25,one)),join(converse(X_25),converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_134,plain,
( converse(join(X_25,one)) != join(converse(X_25),converse(one))
| converse(join(X_25,one)) = join(converse(X_25),one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_117,refute_0_133]) ).
cnf(refute_0_135,plain,
converse(join(X_25,one)) = join(converse(X_25),one),
inference(resolve,[$cnf( $equal(converse(join(X_25,one)),join(converse(X_25),converse(one))) )],[refute_0_132,refute_0_134]) ).
cnf(refute_0_136,plain,
join(converse(X_25),one) = join(one,converse(X_25)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_25)))]]) ).
cnf(refute_0_137,plain,
( converse(join(X_25,one)) != join(converse(X_25),one)
| join(converse(X_25),one) != join(one,converse(X_25))
| converse(join(X_25,one)) = join(one,converse(X_25)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_25,one)),join(one,converse(X_25))) ),[0],$fot(join(converse(X_25),one))]]) ).
cnf(refute_0_138,plain,
( converse(join(X_25,one)) != join(converse(X_25),one)
| converse(join(X_25,one)) = join(one,converse(X_25)) ),
inference(resolve,[$cnf( $equal(join(converse(X_25),one),join(one,converse(X_25))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
converse(join(X_25,one)) = join(one,converse(X_25)),
inference(resolve,[$cnf( $equal(converse(join(X_25,one)),join(converse(X_25),one)) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_0_139:[bind(X_25,$fot(one))]]) ).
cnf(refute_0_141,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(one) != one
| converse(join(one,one)) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_142,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_117,refute_0_141]) ).
cnf(refute_0_143,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_140,refute_0_142]) ).
cnf(refute_0_144,plain,
( converse(join(X_25,one)) != join(one,converse(X_25))
| join(one,converse(X_25)) = converse(join(X_25,one)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X_25,one)))),bind(Y,$fot(join(one,converse(X_25))))]]) ).
cnf(refute_0_145,plain,
join(one,converse(X_25)) = converse(join(X_25,one)),
inference(resolve,[$cnf( $equal(converse(join(X_25,one)),join(one,converse(X_25))) )],[refute_0_139,refute_0_144]) ).
cnf(refute_0_146,plain,
join(one,converse(one)) = converse(join(one,one)),
inference(subst,[],[refute_0_145:[bind(X_25,$fot(one))]]) ).
cnf(refute_0_147,plain,
( converse(join(one,one)) != join(one,one)
| join(one,converse(one)) != converse(join(one,one))
| join(one,converse(one)) = join(one,one) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,converse(one)))),bind(Y,$fot(converse(join(one,one)))),bind(Z,$fot(join(one,one)))]]) ).
cnf(refute_0_148,plain,
( converse(join(one,one)) != join(one,one)
| join(one,converse(one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(join(one,converse(one)),converse(join(one,one))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
join(one,converse(one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_143,refute_0_148]) ).
cnf(refute_0_150,plain,
composition(join(one,converse(one)),complement(X_65)) = composition(join(one,converse(one)),complement(X_65)),
introduced(tautology,[refl,[$fot(composition(join(one,converse(one)),complement(X_65)))]]) ).
cnf(refute_0_151,plain,
( composition(join(one,converse(one)),complement(X_65)) != composition(join(one,converse(one)),complement(X_65))
| join(one,converse(one)) != join(one,one)
| composition(join(one,converse(one)),complement(X_65)) = composition(join(one,one),complement(X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(one)),complement(X_65)),composition(join(one,converse(one)),complement(X_65))) ),[1,0],$fot(join(one,one))]]) ).
cnf(refute_0_152,plain,
( join(one,converse(one)) != join(one,one)
| composition(join(one,converse(one)),complement(X_65)) = composition(join(one,one),complement(X_65)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(one)),complement(X_65)),composition(join(one,converse(one)),complement(X_65))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
composition(join(one,converse(one)),complement(X_65)) = composition(join(one,one),complement(X_65)),
inference(resolve,[$cnf( $equal(join(one,converse(one)),join(one,one)) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_155,plain,
composition(join(X_58,one),X_60) = join(composition(X_58,X_60),composition(one,X_60)),
inference(subst,[],[refute_0_154:[bind(X0,$fot(X_58)),bind(X1,$fot(one)),bind(X2,$fot(X_60))]]) ).
cnf(refute_0_156,plain,
X_60 = composition(one,X_60),
inference(subst,[],[refute_0_124:[bind(X_13,$fot(X_60))]]) ).
cnf(refute_0_157,plain,
( X_60 != composition(one,X_60)
| composition(one,X_60) = X_60 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_60)),bind(Y,$fot(composition(one,X_60)))]]) ).
cnf(refute_0_158,plain,
composition(one,X_60) = X_60,
inference(resolve,[$cnf( $equal(X_60,composition(one,X_60)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
( composition(join(X_58,one),X_60) != join(composition(X_58,X_60),composition(one,X_60))
| composition(one,X_60) != X_60
| composition(join(X_58,one),X_60) = join(composition(X_58,X_60),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_58,one),X_60),join(composition(X_58,X_60),composition(one,X_60))) ),[1,1],$fot(X_60)]]) ).
cnf(refute_0_160,plain,
( composition(join(X_58,one),X_60) != join(composition(X_58,X_60),composition(one,X_60))
| composition(join(X_58,one),X_60) = join(composition(X_58,X_60),X_60) ),
inference(resolve,[$cnf( $equal(composition(one,X_60),X_60) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
composition(join(X_58,one),X_60) = join(composition(X_58,X_60),X_60),
inference(resolve,[$cnf( $equal(composition(join(X_58,one),X_60),join(composition(X_58,X_60),composition(one,X_60))) )],[refute_0_155,refute_0_160]) ).
cnf(refute_0_162,plain,
join(composition(X_58,X_60),X_60) = join(X_60,composition(X_58,X_60)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(X_60)),bind(X1,$fot(composition(X_58,X_60)))]]) ).
cnf(refute_0_163,plain,
( composition(join(X_58,one),X_60) != join(composition(X_58,X_60),X_60)
| join(composition(X_58,X_60),X_60) != join(X_60,composition(X_58,X_60))
| composition(join(X_58,one),X_60) = join(X_60,composition(X_58,X_60)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_58,one),X_60),join(X_60,composition(X_58,X_60))) ),[0],$fot(join(composition(X_58,X_60),X_60))]]) ).
cnf(refute_0_164,plain,
( composition(join(X_58,one),X_60) != join(composition(X_58,X_60),X_60)
| composition(join(X_58,one),X_60) = join(X_60,composition(X_58,X_60)) ),
inference(resolve,[$cnf( $equal(join(composition(X_58,X_60),X_60),join(X_60,composition(X_58,X_60))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
composition(join(X_58,one),X_60) = join(X_60,composition(X_58,X_60)),
inference(resolve,[$cnf( $equal(composition(join(X_58,one),X_60),join(composition(X_58,X_60),X_60)) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
composition(join(X_61,one),X_62) = join(X_62,composition(X_61,X_62)),
inference(subst,[],[refute_0_165:[bind(X_58,$fot(X_61)),bind(X_60,$fot(X_62))]]) ).
cnf(refute_0_167,plain,
join(one,X_61) = join(X_61,one),
inference(subst,[],[refute_0_3:[bind(X0,$fot(one)),bind(X1,$fot(X_61))]]) ).
cnf(refute_0_168,plain,
( join(one,X_61) != join(X_61,one)
| join(X_61,one) = join(one,X_61) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,X_61))),bind(Y,$fot(join(X_61,one)))]]) ).
cnf(refute_0_169,plain,
join(X_61,one) = join(one,X_61),
inference(resolve,[$cnf( $equal(join(one,X_61),join(X_61,one)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( composition(join(X_61,one),X_62) != join(X_62,composition(X_61,X_62))
| join(X_61,one) != join(one,X_61)
| composition(join(one,X_61),X_62) = join(X_62,composition(X_61,X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_61,one),X_62),join(X_62,composition(X_61,X_62))) ),[0,0],$fot(join(one,X_61))]]) ).
cnf(refute_0_171,plain,
( composition(join(X_61,one),X_62) != join(X_62,composition(X_61,X_62))
| composition(join(one,X_61),X_62) = join(X_62,composition(X_61,X_62)) ),
inference(resolve,[$cnf( $equal(join(X_61,one),join(one,X_61)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
composition(join(one,X_61),X_62) = join(X_62,composition(X_61,X_62)),
inference(resolve,[$cnf( $equal(composition(join(X_61,one),X_62),join(X_62,composition(X_61,X_62))) )],[refute_0_166,refute_0_171]) ).
cnf(refute_0_173,plain,
( composition(join(X_58,one),X_60) != join(X_60,composition(X_58,X_60))
| join(X_60,composition(X_58,X_60)) = composition(join(X_58,one),X_60) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(X_58,one),X_60))),bind(Y,$fot(join(X_60,composition(X_58,X_60))))]]) ).
cnf(refute_0_174,plain,
join(X_60,composition(X_58,X_60)) = composition(join(X_58,one),X_60),
inference(resolve,[$cnf( $equal(composition(join(X_58,one),X_60),join(X_60,composition(X_58,X_60))) )],[refute_0_165,refute_0_173]) ).
cnf(refute_0_175,plain,
join(X_62,composition(X_61,X_62)) = composition(join(X_61,one),X_62),
inference(subst,[],[refute_0_174:[bind(X_58,$fot(X_61)),bind(X_60,$fot(X_62))]]) ).
cnf(refute_0_176,plain,
( composition(join(one,X_61),X_62) != join(X_62,composition(X_61,X_62))
| join(X_62,composition(X_61,X_62)) != composition(join(X_61,one),X_62)
| composition(join(one,X_61),X_62) = composition(join(X_61,one),X_62) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_61),X_62),composition(join(X_61,one),X_62)) ),[0],$fot(join(X_62,composition(X_61,X_62)))]]) ).
cnf(refute_0_177,plain,
( composition(join(one,X_61),X_62) != join(X_62,composition(X_61,X_62))
| composition(join(one,X_61),X_62) = composition(join(X_61,one),X_62) ),
inference(resolve,[$cnf( $equal(join(X_62,composition(X_61,X_62)),composition(join(X_61,one),X_62)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
composition(join(one,X_61),X_62) = composition(join(X_61,one),X_62),
inference(resolve,[$cnf( $equal(composition(join(one,X_61),X_62),join(X_62,composition(X_61,X_62))) )],[refute_0_172,refute_0_177]) ).
cnf(refute_0_179,plain,
( composition(join(one,X_61),X_62) != composition(join(X_61,one),X_62)
| composition(join(X_61,one),X_62) = composition(join(one,X_61),X_62) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(one,X_61),X_62))),bind(Y,$fot(composition(join(X_61,one),X_62)))]]) ).
cnf(refute_0_180,plain,
composition(join(X_61,one),X_62) = composition(join(one,X_61),X_62),
inference(resolve,[$cnf( $equal(composition(join(one,X_61),X_62),composition(join(X_61,one),X_62)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
composition(join(converse(one),one),complement(X_65)) = composition(join(one,converse(one)),complement(X_65)),
inference(subst,[],[refute_0_180:[bind(X_61,$fot(converse(one))),bind(X_62,$fot(complement(X_65)))]]) ).
cnf(refute_0_182,plain,
join(complement(X_65),composition(converse(one),complement(X_65))) = composition(join(converse(one),one),complement(X_65)),
inference(subst,[],[refute_0_174:[bind(X_58,$fot(converse(one))),bind(X_60,$fot(complement(X_65)))]]) ).
cnf(refute_0_183,plain,
( composition(join(converse(one),one),complement(X_65)) != composition(join(one,converse(one)),complement(X_65))
| join(complement(X_65),composition(converse(one),complement(X_65))) != composition(join(converse(one),one),complement(X_65))
| join(complement(X_65),composition(converse(one),complement(X_65))) = composition(join(one,converse(one)),complement(X_65)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(X_65),composition(converse(one),complement(X_65))))),bind(Y,$fot(composition(join(converse(one),one),complement(X_65)))),bind(Z,$fot(composition(join(one,converse(one)),complement(X_65))))]]) ).
cnf(refute_0_184,plain,
( composition(join(converse(one),one),complement(X_65)) != composition(join(one,converse(one)),complement(X_65))
| join(complement(X_65),composition(converse(one),complement(X_65))) = composition(join(one,converse(one)),complement(X_65)) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(converse(one),complement(X_65))),composition(join(converse(one),one),complement(X_65))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
join(complement(X_65),composition(converse(one),complement(X_65))) = composition(join(one,converse(one)),complement(X_65)),
inference(resolve,[$cnf( $equal(composition(join(converse(one),one),complement(X_65)),composition(join(one,converse(one)),complement(X_65))) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
( composition(join(one,converse(one)),complement(X_65)) != composition(join(one,one),complement(X_65))
| join(complement(X_65),composition(converse(one),complement(X_65))) != composition(join(one,converse(one)),complement(X_65))
| join(complement(X_65),composition(converse(one),complement(X_65))) = composition(join(one,one),complement(X_65)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(X_65),composition(converse(one),complement(X_65))))),bind(Y,$fot(composition(join(one,converse(one)),complement(X_65)))),bind(Z,$fot(composition(join(one,one),complement(X_65))))]]) ).
cnf(refute_0_187,plain,
( composition(join(one,converse(one)),complement(X_65)) != composition(join(one,one),complement(X_65))
| join(complement(X_65),composition(converse(one),complement(X_65))) = composition(join(one,one),complement(X_65)) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(converse(one),complement(X_65))),composition(join(one,converse(one)),complement(X_65))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
join(complement(X_65),composition(converse(one),complement(X_65))) = composition(join(one,one),complement(X_65)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(one)),complement(X_65)),composition(join(one,one),complement(X_65))) )],[refute_0_153,refute_0_187]) ).
cnf(refute_0_189,plain,
( join(complement(X_65),composition(converse(one),complement(X_65))) != complement(X_65)
| join(complement(X_65),composition(converse(one),complement(X_65))) != composition(join(one,one),complement(X_65))
| composition(join(one,one),complement(X_65)) = complement(X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),composition(converse(one),complement(X_65))),complement(X_65)) ),[0],$fot(composition(join(one,one),complement(X_65)))]]) ).
cnf(refute_0_190,plain,
( join(complement(X_65),composition(converse(one),complement(X_65))) != complement(X_65)
| composition(join(one,one),complement(X_65)) = complement(X_65) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(converse(one),complement(X_65))),composition(join(one,one),complement(X_65))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
composition(join(one,one),complement(X_65)) = complement(X_65),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(converse(one),complement(X_65))),complement(X_65)) )],[refute_0_130,refute_0_190]) ).
cnf(refute_0_192,plain,
composition(join(one,one),complement(top)) = complement(top),
inference(subst,[],[refute_0_191:[bind(X_65,$fot(top))]]) ).
cnf(refute_0_193,plain,
( complement(top) != zero
| composition(join(one,one),complement(top)) != complement(top)
| composition(join(one,one),zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),complement(top)),complement(top)) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_194,plain,
( composition(join(one,one),complement(top)) != complement(top)
| composition(join(one,one),zero) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_193]) ).
cnf(refute_0_195,plain,
composition(join(one,one),zero) = complement(top),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(top)),complement(top)) )],[refute_0_192,refute_0_194]) ).
cnf(refute_0_196,plain,
composition(join(one,one),X_62) = join(X_62,composition(one,X_62)),
inference(subst,[],[refute_0_165:[bind(X_58,$fot(one)),bind(X_60,$fot(X_62))]]) ).
cnf(refute_0_197,plain,
X_62 = composition(one,X_62),
inference(subst,[],[refute_0_124:[bind(X_13,$fot(X_62))]]) ).
cnf(refute_0_198,plain,
( X_62 != composition(one,X_62)
| composition(one,X_62) = X_62 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_62)),bind(Y,$fot(composition(one,X_62)))]]) ).
cnf(refute_0_199,plain,
composition(one,X_62) = X_62,
inference(resolve,[$cnf( $equal(X_62,composition(one,X_62)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
( composition(join(one,one),X_62) != join(X_62,composition(one,X_62))
| composition(one,X_62) != X_62
| composition(join(one,one),X_62) = join(X_62,X_62) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_62),join(X_62,composition(one,X_62))) ),[1,1],$fot(X_62)]]) ).
cnf(refute_0_201,plain,
( composition(join(one,one),X_62) != join(X_62,composition(one,X_62))
| composition(join(one,one),X_62) = join(X_62,X_62) ),
inference(resolve,[$cnf( $equal(composition(one,X_62),X_62) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
composition(join(one,one),X_62) = join(X_62,X_62),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_62),join(X_62,composition(one,X_62))) )],[refute_0_196,refute_0_201]) ).
cnf(refute_0_203,plain,
composition(join(one,one),zero) = join(zero,zero),
inference(subst,[],[refute_0_202:[bind(X_62,$fot(zero))]]) ).
cnf(refute_0_204,plain,
( composition(join(one,one),zero) != complement(top)
| composition(join(one,one),zero) != join(zero,zero)
| join(zero,zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),zero),complement(top)) ),[0],$fot(join(zero,zero))]]) ).
cnf(refute_0_205,plain,
( composition(join(one,one),zero) != complement(top)
| join(zero,zero) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),zero),join(zero,zero)) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
( complement(top) != zero
| join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_207,plain,
( join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_206]) ).
cnf(refute_0_208,plain,
( composition(join(one,one),zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,zero),complement(top)) )],[refute_0_205,refute_0_207]) ).
cnf(refute_0_209,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(composition(join(one,one),zero),complement(top)) )],[refute_0_195,refute_0_208]) ).
cnf(refute_0_210,plain,
( join(zero,join(zero,X2)) != join(join(zero,zero),X2)
| join(zero,zero) != zero
| join(zero,join(zero,X2)) = join(zero,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X2)),join(join(zero,zero),X2)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_211,plain,
( join(zero,join(zero,X2)) != join(join(zero,zero),X2)
| join(zero,join(zero,X2)) = join(zero,X2) ),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
join(zero,join(zero,X2)) = join(zero,X2),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X2)),join(join(zero,zero),X2)) )],[refute_0_86,refute_0_211]) ).
cnf(refute_0_213,plain,
join(zero,join(zero,meet(X_98,top))) = join(zero,meet(X_98,top)),
inference(subst,[],[refute_0_212:[bind(X2,$fot(meet(X_98,top)))]]) ).
cnf(refute_0_214,plain,
X_96 = join(meet(X_96,top),complement(join(complement(X_96),top))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(X_96)),bind(X1,$fot(top))]]) ).
cnf(refute_0_215,plain,
join(X_34,join(complement(X_34),X_36)) = join(join(X_34,complement(X_34)),X_36),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_34)),bind(X1,$fot(complement(X_34))),bind(X2,$fot(X_36))]]) ).
cnf(refute_0_216,plain,
top = join(X_34,complement(X_34)),
inference(subst,[],[refute_0_56:[bind(X0,$fot(X_34))]]) ).
cnf(refute_0_217,plain,
( top != join(X_34,complement(X_34))
| join(X_34,complement(X_34)) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(X_34,complement(X_34))))]]) ).
cnf(refute_0_218,plain,
join(X_34,complement(X_34)) = top,
inference(resolve,[$cnf( $equal(top,join(X_34,complement(X_34))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
( join(X_34,complement(X_34)) != top
| join(X_34,join(complement(X_34),X_36)) != join(join(X_34,complement(X_34)),X_36)
| join(X_34,join(complement(X_34),X_36)) = join(top,X_36) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(complement(X_34),X_36)),join(join(X_34,complement(X_34)),X_36)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_220,plain,
( join(X_34,join(complement(X_34),X_36)) != join(join(X_34,complement(X_34)),X_36)
| join(X_34,join(complement(X_34),X_36)) = join(top,X_36) ),
inference(resolve,[$cnf( $equal(join(X_34,complement(X_34)),top) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
join(X_34,join(complement(X_34),X_36)) = join(top,X_36),
inference(resolve,[$cnf( $equal(join(X_34,join(complement(X_34),X_36)),join(join(X_34,complement(X_34)),X_36)) )],[refute_0_215,refute_0_220]) ).
cnf(refute_0_222,plain,
join(X_41,join(complement(X_41),complement(complement(X_41)))) = join(top,complement(complement(X_41))),
inference(subst,[],[refute_0_221:[bind(X_34,$fot(X_41)),bind(X_36,$fot(complement(complement(X_41))))]]) ).
cnf(refute_0_223,plain,
top = join(complement(X_41),complement(complement(X_41))),
inference(subst,[],[refute_0_56:[bind(X0,$fot(complement(X_41)))]]) ).
cnf(refute_0_224,plain,
( top != join(complement(X_41),complement(complement(X_41)))
| join(complement(X_41),complement(complement(X_41))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_41),complement(complement(X_41)))))]]) ).
cnf(refute_0_225,plain,
join(complement(X_41),complement(complement(X_41))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_41),complement(complement(X_41)))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
( join(X_41,join(complement(X_41),complement(complement(X_41)))) != join(top,complement(complement(X_41)))
| join(complement(X_41),complement(complement(X_41))) != top
| join(X_41,top) = join(top,complement(complement(X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_41,join(complement(X_41),complement(complement(X_41)))),join(top,complement(complement(X_41)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_227,plain,
( join(X_41,join(complement(X_41),complement(complement(X_41)))) != join(top,complement(complement(X_41)))
| join(X_41,top) = join(top,complement(complement(X_41))) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),complement(complement(X_41))),top) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
join(X_41,top) = join(top,complement(complement(X_41))),
inference(resolve,[$cnf( $equal(join(X_41,join(complement(X_41),complement(complement(X_41)))),join(top,complement(complement(X_41)))) )],[refute_0_222,refute_0_227]) ).
cnf(refute_0_229,plain,
join(X_34,join(complement(X_34),complement(X_34))) = join(top,complement(X_34)),
inference(subst,[],[refute_0_221:[bind(X_36,$fot(complement(X_34)))]]) ).
cnf(refute_0_230,plain,
( converse(one) != one
| join(complement(X_65),composition(converse(one),complement(composition(one,X_65)))) != complement(X_65)
| join(complement(X_65),composition(one,complement(composition(one,X_65)))) = complement(X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),composition(converse(one),complement(composition(one,X_65)))),complement(X_65)) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_231,plain,
( join(complement(X_65),composition(converse(one),complement(composition(one,X_65)))) != complement(X_65)
| join(complement(X_65),composition(one,complement(composition(one,X_65)))) = complement(X_65) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_117,refute_0_230]) ).
cnf(refute_0_232,plain,
join(complement(X_65),composition(one,complement(composition(one,X_65)))) = complement(X_65),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(converse(one),complement(composition(one,X_65)))),complement(X_65)) )],[refute_0_92,refute_0_231]) ).
cnf(refute_0_233,plain,
complement(composition(one,X_65)) = complement(composition(one,X_65)),
introduced(tautology,[refl,[$fot(complement(composition(one,X_65)))]]) ).
cnf(refute_0_234,plain,
( complement(composition(one,X_65)) != complement(composition(one,X_65))
| composition(one,X_65) != X_65
| complement(composition(one,X_65)) = complement(X_65) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(one,X_65)),complement(composition(one,X_65))) ),[1,0],$fot(X_65)]]) ).
cnf(refute_0_235,plain,
( composition(one,X_65) != X_65
| complement(composition(one,X_65)) = complement(X_65) ),
inference(resolve,[$cnf( $equal(complement(composition(one,X_65)),complement(composition(one,X_65))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
complement(composition(one,X_65)) = complement(X_65),
inference(resolve,[$cnf( $equal(composition(one,X_65),X_65) )],[refute_0_127,refute_0_235]) ).
cnf(refute_0_237,plain,
( X_13 != composition(one,X_13)
| composition(one,X_13) = X_13 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_13)),bind(Y,$fot(composition(one,X_13)))]]) ).
cnf(refute_0_238,plain,
composition(one,X_13) = X_13,
inference(resolve,[$cnf( $equal(X_13,composition(one,X_13)) )],[refute_0_124,refute_0_237]) ).
cnf(refute_0_239,plain,
composition(one,complement(composition(one,X_65))) = complement(composition(one,X_65)),
inference(subst,[],[refute_0_238:[bind(X_13,$fot(complement(composition(one,X_65))))]]) ).
cnf(refute_0_240,plain,
( complement(composition(one,X_65)) != complement(X_65)
| composition(one,complement(composition(one,X_65))) != complement(composition(one,X_65))
| composition(one,complement(composition(one,X_65))) = complement(X_65) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(one,complement(composition(one,X_65))))),bind(Y,$fot(complement(composition(one,X_65)))),bind(Z,$fot(complement(X_65)))]]) ).
cnf(refute_0_241,plain,
( complement(composition(one,X_65)) != complement(X_65)
| composition(one,complement(composition(one,X_65))) = complement(X_65) ),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(one,X_65))),complement(composition(one,X_65))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
composition(one,complement(composition(one,X_65))) = complement(X_65),
inference(resolve,[$cnf( $equal(complement(composition(one,X_65)),complement(X_65)) )],[refute_0_236,refute_0_241]) ).
cnf(refute_0_243,plain,
join(complement(X_65),composition(one,complement(composition(one,X_65)))) = join(complement(X_65),composition(one,complement(composition(one,X_65)))),
introduced(tautology,[refl,[$fot(join(complement(X_65),composition(one,complement(composition(one,X_65)))))]]) ).
cnf(refute_0_244,plain,
( composition(one,complement(composition(one,X_65))) != complement(X_65)
| join(complement(X_65),composition(one,complement(composition(one,X_65)))) != join(complement(X_65),composition(one,complement(composition(one,X_65))))
| join(complement(X_65),composition(one,complement(composition(one,X_65)))) = join(complement(X_65),complement(X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),composition(one,complement(composition(one,X_65)))),join(complement(X_65),composition(one,complement(composition(one,X_65))))) ),[1,1],$fot(complement(X_65))]]) ).
cnf(refute_0_245,plain,
( composition(one,complement(composition(one,X_65))) != complement(X_65)
| join(complement(X_65),composition(one,complement(composition(one,X_65)))) = join(complement(X_65),complement(X_65)) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(one,complement(composition(one,X_65)))),join(complement(X_65),composition(one,complement(composition(one,X_65))))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
join(complement(X_65),composition(one,complement(composition(one,X_65)))) = join(complement(X_65),complement(X_65)),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(one,X_65))),complement(X_65)) )],[refute_0_242,refute_0_245]) ).
cnf(refute_0_247,plain,
( join(complement(X_65),composition(one,complement(composition(one,X_65)))) != complement(X_65)
| join(complement(X_65),composition(one,complement(composition(one,X_65)))) != join(complement(X_65),complement(X_65))
| join(complement(X_65),complement(X_65)) = complement(X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),composition(one,complement(composition(one,X_65)))),complement(X_65)) ),[0],$fot(join(complement(X_65),complement(X_65)))]]) ).
cnf(refute_0_248,plain,
( join(complement(X_65),composition(one,complement(composition(one,X_65)))) != complement(X_65)
| join(complement(X_65),complement(X_65)) = complement(X_65) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(one,complement(composition(one,X_65)))),join(complement(X_65),complement(X_65))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
join(complement(X_65),complement(X_65)) = complement(X_65),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(one,complement(composition(one,X_65)))),complement(X_65)) )],[refute_0_232,refute_0_248]) ).
cnf(refute_0_250,plain,
join(complement(X_34),complement(X_34)) = complement(X_34),
inference(subst,[],[refute_0_249:[bind(X_65,$fot(X_34))]]) ).
cnf(refute_0_251,plain,
( join(X_34,join(complement(X_34),complement(X_34))) != join(top,complement(X_34))
| join(complement(X_34),complement(X_34)) != complement(X_34)
| join(X_34,complement(X_34)) = join(top,complement(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(complement(X_34),complement(X_34))),join(top,complement(X_34))) ),[0,1],$fot(complement(X_34))]]) ).
cnf(refute_0_252,plain,
( join(X_34,join(complement(X_34),complement(X_34))) != join(top,complement(X_34))
| join(X_34,complement(X_34)) = join(top,complement(X_34)) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),complement(X_34)),complement(X_34)) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
join(X_34,complement(X_34)) = join(top,complement(X_34)),
inference(resolve,[$cnf( $equal(join(X_34,join(complement(X_34),complement(X_34))),join(top,complement(X_34))) )],[refute_0_229,refute_0_252]) ).
cnf(refute_0_254,plain,
( join(X_34,complement(X_34)) != join(top,complement(X_34))
| join(X_34,complement(X_34)) != top
| top = join(top,complement(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,complement(X_34)),join(top,complement(X_34))) ),[0],$fot(top)]]) ).
cnf(refute_0_255,plain,
( join(X_34,complement(X_34)) != join(top,complement(X_34))
| top = join(top,complement(X_34)) ),
inference(resolve,[$cnf( $equal(join(X_34,complement(X_34)),top) )],[refute_0_218,refute_0_254]) ).
cnf(refute_0_256,plain,
top = join(top,complement(X_34)),
inference(resolve,[$cnf( $equal(join(X_34,complement(X_34)),join(top,complement(X_34))) )],[refute_0_253,refute_0_255]) ).
cnf(refute_0_257,plain,
( top != join(top,complement(X_34))
| join(top,complement(X_34)) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_34))))]]) ).
cnf(refute_0_258,plain,
join(top,complement(X_34)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_34))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
join(top,complement(complement(X_41))) = top,
inference(subst,[],[refute_0_258:[bind(X_34,$fot(complement(X_41)))]]) ).
cnf(refute_0_260,plain,
( join(X_41,top) != join(top,complement(complement(X_41)))
| join(top,complement(complement(X_41))) != top
| join(X_41,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_41,top),top) ),[0],$fot(join(top,complement(complement(X_41))))]]) ).
cnf(refute_0_261,plain,
( join(X_41,top) != join(top,complement(complement(X_41)))
| join(X_41,top) = top ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(X_41))),top) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
join(X_41,top) = top,
inference(resolve,[$cnf( $equal(join(X_41,top),join(top,complement(complement(X_41)))) )],[refute_0_228,refute_0_261]) ).
cnf(refute_0_263,plain,
join(complement(X_96),top) = top,
inference(subst,[],[refute_0_262:[bind(X_41,$fot(complement(X_96)))]]) ).
cnf(refute_0_264,plain,
( X_96 != join(meet(X_96,top),complement(join(complement(X_96),top)))
| join(complement(X_96),top) != top
| X_96 = join(meet(X_96,top),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_96,join(meet(X_96,top),complement(join(complement(X_96),top)))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_265,plain,
( X_96 != join(meet(X_96,top),complement(join(complement(X_96),top)))
| X_96 = join(meet(X_96,top),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_96),top),top) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
X_96 = join(meet(X_96,top),complement(top)),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,top),complement(join(complement(X_96),top)))) )],[refute_0_214,refute_0_265]) ).
cnf(refute_0_267,plain,
join(complement(top),meet(X_96,top)) = join(complement(top),meet(X_96,top)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_96,top)))]]) ).
cnf(refute_0_268,plain,
( complement(top) != zero
| join(complement(top),meet(X_96,top)) != join(complement(top),meet(X_96,top))
| join(complement(top),meet(X_96,top)) = join(zero,meet(X_96,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_96,top)),join(complement(top),meet(X_96,top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_269,plain,
( complement(top) != zero
| join(complement(top),meet(X_96,top)) = join(zero,meet(X_96,top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_96,top)),join(complement(top),meet(X_96,top))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
join(complement(top),meet(X_96,top)) = join(zero,meet(X_96,top)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_269]) ).
cnf(refute_0_271,plain,
join(meet(X_96,top),complement(top)) = join(complement(top),meet(X_96,top)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_96,top)))]]) ).
cnf(refute_0_272,plain,
( join(complement(top),meet(X_96,top)) != join(zero,meet(X_96,top))
| join(meet(X_96,top),complement(top)) != join(complement(top),meet(X_96,top))
| join(meet(X_96,top),complement(top)) = join(zero,meet(X_96,top)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(X_96,top),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_96,top)))),bind(Z,$fot(join(zero,meet(X_96,top))))]]) ).
cnf(refute_0_273,plain,
( join(complement(top),meet(X_96,top)) != join(zero,meet(X_96,top))
| join(meet(X_96,top),complement(top)) = join(zero,meet(X_96,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,top),complement(top)),join(complement(top),meet(X_96,top))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
join(meet(X_96,top),complement(top)) = join(zero,meet(X_96,top)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_96,top)),join(zero,meet(X_96,top))) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
( X_96 != join(meet(X_96,top),complement(top))
| join(meet(X_96,top),complement(top)) != join(zero,meet(X_96,top))
| X_96 = join(zero,meet(X_96,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,join(zero,meet(X_96,top))) ),[0],$fot(join(meet(X_96,top),complement(top)))]]) ).
cnf(refute_0_276,plain,
( X_96 != join(meet(X_96,top),complement(top))
| X_96 = join(zero,meet(X_96,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,top),complement(top)),join(zero,meet(X_96,top))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
X_96 = join(zero,meet(X_96,top)),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,top),complement(top))) )],[refute_0_266,refute_0_276]) ).
cnf(refute_0_278,plain,
X_98 = join(zero,meet(X_98,top)),
inference(subst,[],[refute_0_277:[bind(X_96,$fot(X_98))]]) ).
cnf(refute_0_279,plain,
( X_98 != join(zero,meet(X_98,top))
| join(zero,meet(X_98,top)) = X_98 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_98)),bind(Y,$fot(join(zero,meet(X_98,top))))]]) ).
cnf(refute_0_280,plain,
join(zero,meet(X_98,top)) = X_98,
inference(resolve,[$cnf( $equal(X_98,join(zero,meet(X_98,top))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
( join(zero,join(zero,meet(X_98,top))) != join(zero,meet(X_98,top))
| join(zero,meet(X_98,top)) != X_98
| join(zero,X_98) = join(zero,meet(X_98,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X_98,top))),join(zero,meet(X_98,top))) ),[0,1],$fot(X_98)]]) ).
cnf(refute_0_282,plain,
( join(zero,join(zero,meet(X_98,top))) != join(zero,meet(X_98,top))
| join(zero,X_98) = join(zero,meet(X_98,top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_98,top)),X_98) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
join(zero,X_98) = join(zero,meet(X_98,top)),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X_98,top))),join(zero,meet(X_98,top))) )],[refute_0_213,refute_0_282]) ).
cnf(refute_0_284,plain,
( join(zero,X_98) != join(zero,meet(X_98,top))
| join(zero,meet(X_98,top)) != X_98
| join(zero,X_98) = X_98 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,X_98),X_98) ),[0],$fot(join(zero,meet(X_98,top)))]]) ).
cnf(refute_0_285,plain,
( join(zero,X_98) != join(zero,meet(X_98,top))
| join(zero,X_98) = X_98 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_98,top)),X_98) )],[refute_0_280,refute_0_284]) ).
cnf(refute_0_286,plain,
join(zero,X_98) = X_98,
inference(resolve,[$cnf( $equal(join(zero,X_98),join(zero,meet(X_98,top))) )],[refute_0_283,refute_0_285]) ).
cnf(refute_0_287,plain,
join(zero,complement(X_19)) = complement(X_19),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(complement(X_19)))]]) ).
cnf(refute_0_288,plain,
meet(X0,join(zero,complement(X_19))) = meet(X0,join(zero,complement(X_19))),
introduced(tautology,[refl,[$fot(meet(X0,join(zero,complement(X_19))))]]) ).
cnf(refute_0_289,plain,
( join(zero,complement(X_19)) != complement(X_19)
| meet(X0,join(zero,complement(X_19))) != meet(X0,join(zero,complement(X_19)))
| meet(X0,join(zero,complement(X_19))) = meet(X0,complement(X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_19))),meet(X0,join(zero,complement(X_19)))) ),[1,1],$fot(complement(X_19))]]) ).
cnf(refute_0_290,plain,
( join(zero,complement(X_19)) != complement(X_19)
| meet(X0,join(zero,complement(X_19))) = meet(X0,complement(X_19)) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_19))),meet(X0,join(zero,complement(X_19)))) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
meet(X0,join(zero,complement(X_19))) = meet(X0,complement(X_19)),
inference(resolve,[$cnf( $equal(join(zero,complement(X_19)),complement(X_19)) )],[refute_0_287,refute_0_290]) ).
cnf(refute_0_292,plain,
( meet(X0,join(zero,complement(X_19))) != complement(join(complement(X0),meet(top,X_19)))
| meet(X0,join(zero,complement(X_19))) != meet(X0,complement(X_19))
| meet(X0,complement(X_19)) = complement(join(complement(X0),meet(top,X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_19))),complement(join(complement(X0),meet(top,X_19)))) ),[0],$fot(meet(X0,complement(X_19)))]]) ).
cnf(refute_0_293,plain,
( meet(X0,join(zero,complement(X_19))) != complement(join(complement(X0),meet(top,X_19)))
| meet(X0,complement(X_19)) = complement(join(complement(X0),meet(top,X_19))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_19))),meet(X0,complement(X_19))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
meet(top,X_98) = meet(X_98,top),
inference(subst,[],[refute_0_40:[bind(X_7,$fot(top)),bind(X_8,$fot(X_98))]]) ).
cnf(refute_0_295,plain,
( meet(top,X_98) != meet(X_98,top)
| meet(X_98,top) = meet(top,X_98) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(top,X_98))),bind(Y,$fot(meet(X_98,top)))]]) ).
cnf(refute_0_296,plain,
meet(X_98,top) = meet(top,X_98),
inference(resolve,[$cnf( $equal(meet(top,X_98),meet(X_98,top)) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
( X_98 != join(zero,meet(X_98,top))
| meet(X_98,top) != meet(top,X_98)
| X_98 = join(zero,meet(top,X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(X_98,join(zero,meet(X_98,top))) ),[1,1],$fot(meet(top,X_98))]]) ).
cnf(refute_0_298,plain,
( X_98 != join(zero,meet(X_98,top))
| X_98 = join(zero,meet(top,X_98)) ),
inference(resolve,[$cnf( $equal(meet(X_98,top),meet(top,X_98)) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
X_98 = join(zero,meet(top,X_98)),
inference(resolve,[$cnf( $equal(X_98,join(zero,meet(X_98,top))) )],[refute_0_278,refute_0_298]) ).
cnf(refute_0_300,plain,
join(zero,meet(top,X_98)) = meet(top,X_98),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(meet(top,X_98)))]]) ).
cnf(refute_0_301,plain,
( X_98 != join(zero,meet(top,X_98))
| join(zero,meet(top,X_98)) != meet(top,X_98)
| X_98 = meet(top,X_98) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_98,meet(top,X_98)) ),[0],$fot(join(zero,meet(top,X_98)))]]) ).
cnf(refute_0_302,plain,
( X_98 != join(zero,meet(top,X_98))
| X_98 = meet(top,X_98) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_98)),meet(top,X_98)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
X_98 = meet(top,X_98),
inference(resolve,[$cnf( $equal(X_98,join(zero,meet(top,X_98))) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
( X_98 != meet(top,X_98)
| meet(top,X_98) = X_98 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_98)),bind(Y,$fot(meet(top,X_98)))]]) ).
cnf(refute_0_305,plain,
meet(top,X_98) = X_98,
inference(resolve,[$cnf( $equal(X_98,meet(top,X_98)) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
meet(top,X_19) = X_19,
inference(subst,[],[refute_0_305:[bind(X_98,$fot(X_19))]]) ).
cnf(refute_0_307,plain,
join(complement(X0),meet(top,X_19)) = join(complement(X0),meet(top,X_19)),
introduced(tautology,[refl,[$fot(join(complement(X0),meet(top,X_19)))]]) ).
cnf(refute_0_308,plain,
( join(complement(X0),meet(top,X_19)) != join(complement(X0),meet(top,X_19))
| meet(top,X_19) != X_19
| join(complement(X0),meet(top,X_19)) = join(complement(X0),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),meet(top,X_19)),join(complement(X0),meet(top,X_19))) ),[1,1],$fot(X_19)]]) ).
cnf(refute_0_309,plain,
( meet(top,X_19) != X_19
| join(complement(X0),meet(top,X_19)) = join(complement(X0),X_19) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_19)),join(complement(X0),meet(top,X_19))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
join(complement(X0),meet(top,X_19)) = join(complement(X0),X_19),
inference(resolve,[$cnf( $equal(meet(top,X_19),X_19) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
complement(join(complement(X0),meet(top,X_19))) = complement(join(complement(X0),meet(top,X_19))),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),meet(top,X_19))))]]) ).
cnf(refute_0_312,plain,
( complement(join(complement(X0),meet(top,X_19))) != complement(join(complement(X0),meet(top,X_19)))
| join(complement(X0),meet(top,X_19)) != join(complement(X0),X_19)
| complement(join(complement(X0),meet(top,X_19))) = complement(join(complement(X0),X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),meet(top,X_19))),complement(join(complement(X0),meet(top,X_19)))) ),[1,0],$fot(join(complement(X0),X_19))]]) ).
cnf(refute_0_313,plain,
( join(complement(X0),meet(top,X_19)) != join(complement(X0),X_19)
| complement(join(complement(X0),meet(top,X_19))) = complement(join(complement(X0),X_19)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_19))),complement(join(complement(X0),meet(top,X_19)))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
complement(join(complement(X0),meet(top,X_19))) = complement(join(complement(X0),X_19)),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_19)),join(complement(X0),X_19)) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
( complement(join(complement(X0),meet(top,X_19))) != complement(join(complement(X0),X_19))
| meet(X0,complement(X_19)) != complement(join(complement(X0),meet(top,X_19)))
| meet(X0,complement(X_19)) = complement(join(complement(X0),X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(X_19)),complement(join(complement(X0),meet(top,X_19)))) ),[1],$fot(complement(join(complement(X0),X_19)))]]) ).
cnf(refute_0_316,plain,
( meet(X0,complement(X_19)) != complement(join(complement(X0),meet(top,X_19)))
| meet(X0,complement(X_19)) = complement(join(complement(X0),X_19)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_19))),complement(join(complement(X0),X_19))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
( meet(X0,join(zero,complement(X_19))) != complement(join(complement(X0),meet(top,X_19)))
| meet(X0,complement(X_19)) = complement(join(complement(X0),X_19)) ),
inference(resolve,[$cnf( $equal(meet(X0,complement(X_19)),complement(join(complement(X0),meet(top,X_19)))) )],[refute_0_293,refute_0_316]) ).
cnf(refute_0_318,plain,
meet(X0,complement(X_19)) = complement(join(complement(X0),X_19)),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_19))),complement(join(complement(X0),meet(top,X_19)))) )],[refute_0_85,refute_0_317]) ).
cnf(refute_0_319,plain,
( meet(X0,complement(X_19)) != complement(join(complement(X0),X_19))
| complement(join(complement(X0),X_19)) = meet(X0,complement(X_19)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X0,complement(X_19)))),bind(Y,$fot(complement(join(complement(X0),X_19))))]]) ).
cnf(refute_0_320,plain,
complement(join(complement(X0),X_19)) = meet(X0,complement(X_19)),
inference(resolve,[$cnf( $equal(meet(X0,complement(X_19)),complement(join(complement(X0),X_19))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
complement(join(complement(X_96),X_97)) = meet(X_96,complement(X_97)),
inference(subst,[],[refute_0_320:[bind(X0,$fot(X_96)),bind(X_19,$fot(X_97))]]) ).
cnf(refute_0_322,plain,
join(meet(X_97,X_96),complement(join(complement(X_96),X_97))) = join(meet(X_97,X_96),complement(join(complement(X_96),X_97))),
introduced(tautology,[refl,[$fot(join(meet(X_97,X_96),complement(join(complement(X_96),X_97))))]]) ).
cnf(refute_0_323,plain,
( complement(join(complement(X_96),X_97)) != meet(X_96,complement(X_97))
| join(meet(X_97,X_96),complement(join(complement(X_96),X_97))) != join(meet(X_97,X_96),complement(join(complement(X_96),X_97)))
| join(meet(X_97,X_96),complement(join(complement(X_96),X_97))) = join(meet(X_97,X_96),meet(X_96,complement(X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_97,X_96),complement(join(complement(X_96),X_97))),join(meet(X_97,X_96),complement(join(complement(X_96),X_97)))) ),[1,1],$fot(meet(X_96,complement(X_97)))]]) ).
cnf(refute_0_324,plain,
( complement(join(complement(X_96),X_97)) != meet(X_96,complement(X_97))
| join(meet(X_97,X_96),complement(join(complement(X_96),X_97))) = join(meet(X_97,X_96),meet(X_96,complement(X_97))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),complement(join(complement(X_96),X_97))),join(meet(X_97,X_96),complement(join(complement(X_96),X_97)))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
join(meet(X_97,X_96),complement(join(complement(X_96),X_97))) = join(meet(X_97,X_96),meet(X_96,complement(X_97))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_96),X_97)),meet(X_96,complement(X_97))) )],[refute_0_321,refute_0_324]) ).
cnf(refute_0_326,plain,
( X_96 != join(meet(X_97,X_96),complement(join(complement(X_96),X_97)))
| join(meet(X_97,X_96),complement(join(complement(X_96),X_97))) != join(meet(X_97,X_96),meet(X_96,complement(X_97)))
| X_96 = join(meet(X_97,X_96),meet(X_96,complement(X_97))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,join(meet(X_97,X_96),meet(X_96,complement(X_97)))) ),[0],$fot(join(meet(X_97,X_96),complement(join(complement(X_96),X_97))))]]) ).
cnf(refute_0_327,plain,
( X_96 != join(meet(X_97,X_96),complement(join(complement(X_96),X_97)))
| X_96 = join(meet(X_97,X_96),meet(X_96,complement(X_97))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),complement(join(complement(X_96),X_97))),join(meet(X_97,X_96),meet(X_96,complement(X_97)))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
X_96 = join(meet(X_97,X_96),meet(X_96,complement(X_97))),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_97,X_96),complement(join(complement(X_96),X_97)))) )],[refute_0_46,refute_0_327]) ).
cnf(refute_0_329,plain,
X_238 = join(meet(X_239,X_238),meet(X_238,complement(X_239))),
inference(subst,[],[refute_0_328:[bind(X_96,$fot(X_238)),bind(X_97,$fot(X_239))]]) ).
cnf(refute_0_330,plain,
( X_238 != join(meet(X_239,X_238),meet(X_238,complement(X_239)))
| join(meet(X_239,X_238),meet(X_238,complement(X_239))) = X_238 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_238)),bind(Y,$fot(join(meet(X_239,X_238),meet(X_238,complement(X_239)))))]]) ).
cnf(refute_0_331,plain,
join(meet(X_239,X_238),meet(X_238,complement(X_239))) = X_238,
inference(resolve,[$cnf( $equal(X_238,join(meet(X_239,X_238),meet(X_238,complement(X_239)))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
( join(meet(X_239,X_238),join(meet(X_238,complement(X_239)),X2)) != join(join(meet(X_239,X_238),meet(X_238,complement(X_239))),X2)
| join(meet(X_239,X_238),meet(X_238,complement(X_239))) != X_238
| join(meet(X_239,X_238),join(meet(X_238,complement(X_239)),X2)) = join(X_238,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_239,X_238),join(meet(X_238,complement(X_239)),X2)),join(join(meet(X_239,X_238),meet(X_238,complement(X_239))),X2)) ),[1,0],$fot(X_238)]]) ).
cnf(refute_0_333,plain,
( join(meet(X_239,X_238),join(meet(X_238,complement(X_239)),X2)) != join(join(meet(X_239,X_238),meet(X_238,complement(X_239))),X2)
| join(meet(X_239,X_238),join(meet(X_238,complement(X_239)),X2)) = join(X_238,X2) ),
inference(resolve,[$cnf( $equal(join(meet(X_239,X_238),meet(X_238,complement(X_239))),X_238) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
join(meet(X_239,X_238),join(meet(X_238,complement(X_239)),X2)) = join(X_238,X2),
inference(resolve,[$cnf( $equal(join(meet(X_239,X_238),join(meet(X_238,complement(X_239)),X2)),join(join(meet(X_239,X_238),meet(X_238,complement(X_239))),X2)) )],[refute_0_1,refute_0_333]) ).
cnf(refute_0_335,plain,
join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370)))) = join(X_369,meet(complement(X_369),complement(X_370))),
inference(subst,[],[refute_0_334:[bind(X2,$fot(meet(complement(X_369),complement(X_370)))),bind(X_238,$fot(X_369)),bind(X_239,$fot(X_370))]]) ).
cnf(refute_0_336,plain,
join(X_97,complement(X_96)) = join(complement(X_96),X_97),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_97)),bind(X1,$fot(complement(X_96)))]]) ).
cnf(refute_0_337,plain,
( join(X_97,complement(X_96)) != join(complement(X_96),X_97)
| join(complement(X_96),X_97) = join(X_97,complement(X_96)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_97,complement(X_96)))),bind(Y,$fot(join(complement(X_96),X_97)))]]) ).
cnf(refute_0_338,plain,
join(complement(X_96),X_97) = join(X_97,complement(X_96)),
inference(resolve,[$cnf( $equal(join(X_97,complement(X_96)),join(complement(X_96),X_97)) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
( X_96 != join(meet(X_96,X_97),complement(join(complement(X_96),X_97)))
| join(complement(X_96),X_97) != join(X_97,complement(X_96))
| X_96 = join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_96,join(meet(X_96,X_97),complement(join(complement(X_96),X_97)))) ),[1,1,0],$fot(join(X_97,complement(X_96)))]]) ).
cnf(refute_0_340,plain,
( X_96 != join(meet(X_96,X_97),complement(join(complement(X_96),X_97)))
| X_96 = join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_96),X_97),join(X_97,complement(X_96))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
X_96 = join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,X_97),complement(join(complement(X_96),X_97)))) )],[refute_0_29,refute_0_340]) ).
cnf(refute_0_342,plain,
meet(join(zero,complement(X_19)),X1) = complement(join(complement(join(zero,complement(X_19))),complement(X1))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(join(zero,complement(X_19))))]]) ).
cnf(refute_0_343,plain,
( complement(join(zero,complement(X_19))) != meet(top,X_19)
| meet(join(zero,complement(X_19)),X1) != complement(join(complement(join(zero,complement(X_19))),complement(X1)))
| meet(join(zero,complement(X_19)),X1) = complement(join(meet(top,X_19),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_19)),X1),complement(join(complement(join(zero,complement(X_19))),complement(X1)))) ),[1,0,0],$fot(meet(top,X_19))]]) ).
cnf(refute_0_344,plain,
( meet(join(zero,complement(X_19)),X1) != complement(join(complement(join(zero,complement(X_19))),complement(X1)))
| meet(join(zero,complement(X_19)),X1) = complement(join(meet(top,X_19),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_19))),meet(top,X_19)) )],[refute_0_82,refute_0_343]) ).
cnf(refute_0_345,plain,
meet(join(zero,complement(X_19)),X1) = complement(join(meet(top,X_19),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_19)),X1),complement(join(complement(join(zero,complement(X_19))),complement(X1)))) )],[refute_0_342,refute_0_344]) ).
cnf(refute_0_346,plain,
meet(join(zero,complement(X_19)),X1) = meet(join(zero,complement(X_19)),X1),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X_19)),X1))]]) ).
cnf(refute_0_347,plain,
( join(zero,complement(X_19)) != complement(X_19)
| meet(join(zero,complement(X_19)),X1) != meet(join(zero,complement(X_19)),X1)
| meet(join(zero,complement(X_19)),X1) = meet(complement(X_19),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_19)),X1),meet(join(zero,complement(X_19)),X1)) ),[1,0],$fot(complement(X_19))]]) ).
cnf(refute_0_348,plain,
( join(zero,complement(X_19)) != complement(X_19)
| meet(join(zero,complement(X_19)),X1) = meet(complement(X_19),X1) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_19)),X1),meet(join(zero,complement(X_19)),X1)) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
meet(join(zero,complement(X_19)),X1) = meet(complement(X_19),X1),
inference(resolve,[$cnf( $equal(join(zero,complement(X_19)),complement(X_19)) )],[refute_0_287,refute_0_348]) ).
cnf(refute_0_350,plain,
( meet(join(zero,complement(X_19)),X1) != complement(join(meet(top,X_19),complement(X1)))
| meet(join(zero,complement(X_19)),X1) != meet(complement(X_19),X1)
| meet(complement(X_19),X1) = complement(join(meet(top,X_19),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_19)),X1),complement(join(meet(top,X_19),complement(X1)))) ),[0],$fot(meet(complement(X_19),X1))]]) ).
cnf(refute_0_351,plain,
( meet(join(zero,complement(X_19)),X1) != complement(join(meet(top,X_19),complement(X1)))
| meet(complement(X_19),X1) = complement(join(meet(top,X_19),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_19)),X1),meet(complement(X_19),X1)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
join(meet(top,X_19),complement(X1)) = join(meet(top,X_19),complement(X1)),
introduced(tautology,[refl,[$fot(join(meet(top,X_19),complement(X1)))]]) ).
cnf(refute_0_353,plain,
( join(meet(top,X_19),complement(X1)) != join(meet(top,X_19),complement(X1))
| meet(top,X_19) != X_19
| join(meet(top,X_19),complement(X1)) = join(X_19,complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_19),complement(X1)),join(meet(top,X_19),complement(X1))) ),[1,0],$fot(X_19)]]) ).
cnf(refute_0_354,plain,
( meet(top,X_19) != X_19
| join(meet(top,X_19),complement(X1)) = join(X_19,complement(X1)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_19),complement(X1)),join(meet(top,X_19),complement(X1))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
join(meet(top,X_19),complement(X1)) = join(X_19,complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X_19),X_19) )],[refute_0_306,refute_0_354]) ).
cnf(refute_0_356,plain,
complement(join(meet(top,X_19),complement(X1))) = complement(join(meet(top,X_19),complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X_19),complement(X1))))]]) ).
cnf(refute_0_357,plain,
( complement(join(meet(top,X_19),complement(X1))) != complement(join(meet(top,X_19),complement(X1)))
| join(meet(top,X_19),complement(X1)) != join(X_19,complement(X1))
| complement(join(meet(top,X_19),complement(X1))) = complement(join(X_19,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X_19),complement(X1))),complement(join(meet(top,X_19),complement(X1)))) ),[1,0],$fot(join(X_19,complement(X1)))]]) ).
cnf(refute_0_358,plain,
( join(meet(top,X_19),complement(X1)) != join(X_19,complement(X1))
| complement(join(meet(top,X_19),complement(X1))) = complement(join(X_19,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_19),complement(X1))),complement(join(meet(top,X_19),complement(X1)))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
complement(join(meet(top,X_19),complement(X1))) = complement(join(X_19,complement(X1))),
inference(resolve,[$cnf( $equal(join(meet(top,X_19),complement(X1)),join(X_19,complement(X1))) )],[refute_0_355,refute_0_358]) ).
cnf(refute_0_360,plain,
( complement(join(meet(top,X_19),complement(X1))) != complement(join(X_19,complement(X1)))
| meet(complement(X_19),X1) != complement(join(meet(top,X_19),complement(X1)))
| meet(complement(X_19),X1) = complement(join(X_19,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_19),X1),complement(join(meet(top,X_19),complement(X1)))) ),[1],$fot(complement(join(X_19,complement(X1))))]]) ).
cnf(refute_0_361,plain,
( meet(complement(X_19),X1) != complement(join(meet(top,X_19),complement(X1)))
| meet(complement(X_19),X1) = complement(join(X_19,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_19),complement(X1))),complement(join(X_19,complement(X1)))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
( meet(join(zero,complement(X_19)),X1) != complement(join(meet(top,X_19),complement(X1)))
| meet(complement(X_19),X1) = complement(join(X_19,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_19),X1),complement(join(meet(top,X_19),complement(X1)))) )],[refute_0_351,refute_0_361]) ).
cnf(refute_0_363,plain,
meet(complement(X_19),X1) = complement(join(X_19,complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_19)),X1),complement(join(meet(top,X_19),complement(X1)))) )],[refute_0_345,refute_0_362]) ).
cnf(refute_0_364,plain,
( meet(complement(X_19),X1) != complement(join(X_19,complement(X1)))
| complement(join(X_19,complement(X1))) = meet(complement(X_19),X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(complement(X_19),X1))),bind(Y,$fot(complement(join(X_19,complement(X1)))))]]) ).
cnf(refute_0_365,plain,
complement(join(X_19,complement(X1))) = meet(complement(X_19),X1),
inference(resolve,[$cnf( $equal(meet(complement(X_19),X1),complement(join(X_19,complement(X1)))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
complement(join(X_97,complement(X_96))) = meet(complement(X_97),X_96),
inference(subst,[],[refute_0_365:[bind(X1,$fot(X_96)),bind(X_19,$fot(X_97))]]) ).
cnf(refute_0_367,plain,
join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))) = join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))),
introduced(tautology,[refl,[$fot(join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))))]]) ).
cnf(refute_0_368,plain,
( complement(join(X_97,complement(X_96))) != meet(complement(X_97),X_96)
| join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))) != join(meet(X_96,X_97),complement(join(X_97,complement(X_96))))
| join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))) = join(meet(X_96,X_97),meet(complement(X_97),X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))),join(meet(X_96,X_97),complement(join(X_97,complement(X_96))))) ),[1,1],$fot(meet(complement(X_97),X_96))]]) ).
cnf(refute_0_369,plain,
( complement(join(X_97,complement(X_96))) != meet(complement(X_97),X_96)
| join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))) = join(meet(X_96,X_97),meet(complement(X_97),X_96)) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))),join(meet(X_96,X_97),complement(join(X_97,complement(X_96))))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))) = join(meet(X_96,X_97),meet(complement(X_97),X_96)),
inference(resolve,[$cnf( $equal(complement(join(X_97,complement(X_96))),meet(complement(X_97),X_96)) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
( X_96 != join(meet(X_96,X_97),complement(join(X_97,complement(X_96))))
| join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))) != join(meet(X_96,X_97),meet(complement(X_97),X_96))
| X_96 = join(meet(X_96,X_97),meet(complement(X_97),X_96)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,join(meet(X_96,X_97),meet(complement(X_97),X_96))) ),[0],$fot(join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))))]]) ).
cnf(refute_0_372,plain,
( X_96 != join(meet(X_96,X_97),complement(join(X_97,complement(X_96))))
| X_96 = join(meet(X_96,X_97),meet(complement(X_97),X_96)) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,X_97),complement(join(X_97,complement(X_96)))),join(meet(X_96,X_97),meet(complement(X_97),X_96))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
X_96 = join(meet(X_96,X_97),meet(complement(X_97),X_96)),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,X_97),complement(join(X_97,complement(X_96))))) )],[refute_0_341,refute_0_372]) ).
cnf(refute_0_374,plain,
X_225 = join(meet(X_225,X_226),meet(complement(X_226),X_225)),
inference(subst,[],[refute_0_373:[bind(X_96,$fot(X_225)),bind(X_97,$fot(X_226))]]) ).
cnf(refute_0_375,plain,
meet(X_226,X_225) = meet(X_225,X_226),
inference(subst,[],[refute_0_40:[bind(X_7,$fot(X_226)),bind(X_8,$fot(X_225))]]) ).
cnf(refute_0_376,plain,
( meet(X_226,X_225) != meet(X_225,X_226)
| meet(X_225,X_226) = meet(X_226,X_225) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_226,X_225))),bind(Y,$fot(meet(X_225,X_226)))]]) ).
cnf(refute_0_377,plain,
meet(X_225,X_226) = meet(X_226,X_225),
inference(resolve,[$cnf( $equal(meet(X_226,X_225),meet(X_225,X_226)) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
( X_225 != join(meet(X_225,X_226),meet(complement(X_226),X_225))
| meet(X_225,X_226) != meet(X_226,X_225)
| X_225 = join(meet(X_226,X_225),meet(complement(X_226),X_225)) ),
introduced(tautology,[equality,[$cnf( $equal(X_225,join(meet(X_225,X_226),meet(complement(X_226),X_225))) ),[1,0],$fot(meet(X_226,X_225))]]) ).
cnf(refute_0_379,plain,
( X_225 != join(meet(X_225,X_226),meet(complement(X_226),X_225))
| X_225 = join(meet(X_226,X_225),meet(complement(X_226),X_225)) ),
inference(resolve,[$cnf( $equal(meet(X_225,X_226),meet(X_226,X_225)) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
X_225 = join(meet(X_226,X_225),meet(complement(X_226),X_225)),
inference(resolve,[$cnf( $equal(X_225,join(meet(X_225,X_226),meet(complement(X_226),X_225))) )],[refute_0_374,refute_0_379]) ).
cnf(refute_0_381,plain,
complement(X_370) = join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370))),
inference(subst,[],[refute_0_380:[bind(X_225,$fot(complement(X_370))),bind(X_226,$fot(X_369))]]) ).
cnf(refute_0_382,plain,
( complement(X_370) != join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370)))
| join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370))) = complement(X_370) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X_370))),bind(Y,$fot(join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370)))))]]) ).
cnf(refute_0_383,plain,
join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370))) = complement(X_370),
inference(resolve,[$cnf( $equal(complement(X_370),join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370)))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
( join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370))) != complement(X_370)
| join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370)))) != join(X_369,meet(complement(X_369),complement(X_370)))
| join(meet(X_370,X_369),complement(X_370)) = join(X_369,meet(complement(X_369),complement(X_370))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370)))),join(X_369,meet(complement(X_369),complement(X_370)))) ),[0,1],$fot(complement(X_370))]]) ).
cnf(refute_0_385,plain,
( join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370)))) != join(X_369,meet(complement(X_369),complement(X_370)))
| join(meet(X_370,X_369),complement(X_370)) = join(X_369,meet(complement(X_369),complement(X_370))) ),
inference(resolve,[$cnf( $equal(join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370))),complement(X_370)) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
join(meet(X_370,X_369),complement(X_370)) = join(X_369,meet(complement(X_369),complement(X_370))),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),meet(complement(X_369),complement(X_370)))),join(X_369,meet(complement(X_369),complement(X_370)))) )],[refute_0_335,refute_0_385]) ).
cnf(refute_0_387,plain,
join(X_34,join(X_35,X_36)) = join(join(X_34,X_35),X_36),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_34)),bind(X1,$fot(X_35)),bind(X2,$fot(X_36))]]) ).
cnf(refute_0_388,plain,
join(X_35,X_34) = join(X_34,X_35),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_35)),bind(X1,$fot(X_34))]]) ).
cnf(refute_0_389,plain,
( join(X_35,X_34) != join(X_34,X_35)
| join(X_34,X_35) = join(X_35,X_34) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_35,X_34))),bind(Y,$fot(join(X_34,X_35)))]]) ).
cnf(refute_0_390,plain,
join(X_34,X_35) = join(X_35,X_34),
inference(resolve,[$cnf( $equal(join(X_35,X_34),join(X_34,X_35)) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
( join(X_34,X_35) != join(X_35,X_34)
| join(X_34,join(X_35,X_36)) != join(join(X_34,X_35),X_36)
| join(X_34,join(X_35,X_36)) = join(join(X_35,X_34),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(X_35,X_36)),join(join(X_34,X_35),X_36)) ),[1,0],$fot(join(X_35,X_34))]]) ).
cnf(refute_0_392,plain,
( join(X_34,join(X_35,X_36)) != join(join(X_34,X_35),X_36)
| join(X_34,join(X_35,X_36)) = join(join(X_35,X_34),X_36) ),
inference(resolve,[$cnf( $equal(join(X_34,X_35),join(X_35,X_34)) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
join(X_34,join(X_35,X_36)) = join(join(X_35,X_34),X_36),
inference(resolve,[$cnf( $equal(join(X_34,join(X_35,X_36)),join(join(X_34,X_35),X_36)) )],[refute_0_387,refute_0_392]) ).
cnf(refute_0_394,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_395,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_0,refute_0_394]) ).
cnf(refute_0_396,plain,
join(join(X_35,X_34),X_36) = join(X_35,join(X_34,X_36)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(X_35)),bind(X1,$fot(X_34)),bind(X2,$fot(X_36))]]) ).
cnf(refute_0_397,plain,
( join(X_34,join(X_35,X_36)) != join(join(X_35,X_34),X_36)
| join(join(X_35,X_34),X_36) != join(X_35,join(X_34,X_36))
| join(X_34,join(X_35,X_36)) = join(X_35,join(X_34,X_36)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_34,join(X_35,X_36)),join(X_35,join(X_34,X_36))) ),[0],$fot(join(join(X_35,X_34),X_36))]]) ).
cnf(refute_0_398,plain,
( join(X_34,join(X_35,X_36)) != join(join(X_35,X_34),X_36)
| join(X_34,join(X_35,X_36)) = join(X_35,join(X_34,X_36)) ),
inference(resolve,[$cnf( $equal(join(join(X_35,X_34),X_36),join(X_35,join(X_34,X_36))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
join(X_34,join(X_35,X_36)) = join(X_35,join(X_34,X_36)),
inference(resolve,[$cnf( $equal(join(X_34,join(X_35,X_36)),join(join(X_35,X_34),X_36)) )],[refute_0_393,refute_0_398]) ).
cnf(refute_0_400,plain,
join(X_250,join(X_251,meet(X_251,complement(join(X_251,X_116))))) = join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))),
inference(subst,[],[refute_0_399:[bind(X_34,$fot(X_250)),bind(X_35,$fot(X_251)),bind(X_36,$fot(meet(X_251,complement(join(X_251,X_116)))))]]) ).
cnf(refute_0_401,plain,
X_96 = join(meet(X_96,complement(X1)),complement(join(complement(X_96),complement(X1)))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(X_96)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_402,plain,
meet(X_96,X1) = complement(join(complement(X_96),complement(X1))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_96))]]) ).
cnf(refute_0_403,plain,
( meet(X_96,X1) != complement(join(complement(X_96),complement(X1)))
| complement(join(complement(X_96),complement(X1))) = meet(X_96,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_96,X1))),bind(Y,$fot(complement(join(complement(X_96),complement(X1)))))]]) ).
cnf(refute_0_404,plain,
complement(join(complement(X_96),complement(X1))) = meet(X_96,X1),
inference(resolve,[$cnf( $equal(meet(X_96,X1),complement(join(complement(X_96),complement(X1)))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
( X_96 != join(meet(X_96,complement(X1)),complement(join(complement(X_96),complement(X1))))
| complement(join(complement(X_96),complement(X1))) != meet(X_96,X1)
| X_96 = join(meet(X_96,complement(X1)),meet(X_96,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_96,join(meet(X_96,complement(X1)),complement(join(complement(X_96),complement(X1))))) ),[1,1],$fot(meet(X_96,X1))]]) ).
cnf(refute_0_406,plain,
( X_96 != join(meet(X_96,complement(X1)),complement(join(complement(X_96),complement(X1))))
| X_96 = join(meet(X_96,complement(X1)),meet(X_96,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_96),complement(X1))),meet(X_96,X1)) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
X_96 = join(meet(X_96,complement(X1)),meet(X_96,X1)),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,complement(X1)),complement(join(complement(X_96),complement(X1))))) )],[refute_0_401,refute_0_406]) ).
cnf(refute_0_408,plain,
join(meet(X_96,complement(X1)),meet(X_96,X1)) = join(meet(X_96,X1),meet(X_96,complement(X1))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(meet(X_96,X1))),bind(X1,$fot(meet(X_96,complement(X1))))]]) ).
cnf(refute_0_409,plain,
( X_96 != join(meet(X_96,complement(X1)),meet(X_96,X1))
| join(meet(X_96,complement(X1)),meet(X_96,X1)) != join(meet(X_96,X1),meet(X_96,complement(X1)))
| X_96 = join(meet(X_96,X1),meet(X_96,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,join(meet(X_96,X1),meet(X_96,complement(X1)))) ),[0],$fot(join(meet(X_96,complement(X1)),meet(X_96,X1)))]]) ).
cnf(refute_0_410,plain,
( X_96 != join(meet(X_96,complement(X1)),meet(X_96,X1))
| X_96 = join(meet(X_96,X1),meet(X_96,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,complement(X1)),meet(X_96,X1)),join(meet(X_96,X1),meet(X_96,complement(X1)))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
X_96 = join(meet(X_96,X1),meet(X_96,complement(X1))),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,complement(X1)),meet(X_96,X1))) )],[refute_0_407,refute_0_410]) ).
cnf(refute_0_412,plain,
X_96 = join(meet(X_96,join(X_96,X_116)),meet(X_96,complement(join(X_96,X_116)))),
inference(subst,[],[refute_0_411:[bind(X1,$fot(join(X_96,X_116)))]]) ).
cnf(refute_0_413,plain,
X_96 = join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(join(complement(X_96),join(complement(complement(X_96)),X_36)))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(X_96)),bind(X1,$fot(join(complement(complement(X_96)),X_36)))]]) ).
cnf(refute_0_414,plain,
join(X_34,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))) = join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_34)),bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))),bind(X2,$fot(join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))))]]) ).
cnf(refute_0_415,plain,
top = join(join(complement(X_7),complement(X_8)),complement(join(complement(X_7),complement(X_8)))),
inference(subst,[],[refute_0_56:[bind(X0,$fot(join(complement(X_7),complement(X_8))))]]) ).
cnf(refute_0_416,plain,
( complement(join(complement(X_7),complement(X_8))) != meet(X_7,X_8)
| top != join(join(complement(X_7),complement(X_8)),complement(join(complement(X_7),complement(X_8))))
| top = join(join(complement(X_7),complement(X_8)),meet(X_7,X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_7),complement(X_8)),complement(join(complement(X_7),complement(X_8))))) ),[1,1],$fot(meet(X_7,X_8))]]) ).
cnf(refute_0_417,plain,
( top != join(join(complement(X_7),complement(X_8)),complement(join(complement(X_7),complement(X_8))))
| top = join(join(complement(X_7),complement(X_8)),meet(X_7,X_8)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_7),complement(X_8))),meet(X_7,X_8)) )],[refute_0_52,refute_0_416]) ).
cnf(refute_0_418,plain,
top = join(join(complement(X_7),complement(X_8)),meet(X_7,X_8)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_7),complement(X_8)),complement(join(complement(X_7),complement(X_8))))) )],[refute_0_415,refute_0_417]) ).
cnf(refute_0_419,plain,
join(join(complement(X_7),complement(X_8)),meet(X_7,X_8)) = join(complement(X_7),join(complement(X_8),meet(X_7,X_8))),
inference(subst,[],[refute_0_395:[bind(X0,$fot(complement(X_7))),bind(X1,$fot(complement(X_8))),bind(X2,$fot(meet(X_7,X_8)))]]) ).
cnf(refute_0_420,plain,
( join(join(complement(X_7),complement(X_8)),meet(X_7,X_8)) != join(complement(X_7),join(complement(X_8),meet(X_7,X_8)))
| top != join(join(complement(X_7),complement(X_8)),meet(X_7,X_8))
| top = join(complement(X_7),join(complement(X_8),meet(X_7,X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_7),complement(X_8)),meet(X_7,X_8))) ),[1],$fot(join(complement(X_7),join(complement(X_8),meet(X_7,X_8))))]]) ).
cnf(refute_0_421,plain,
( top != join(join(complement(X_7),complement(X_8)),meet(X_7,X_8))
| top = join(complement(X_7),join(complement(X_8),meet(X_7,X_8))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_7),complement(X_8)),meet(X_7,X_8)),join(complement(X_7),join(complement(X_8),meet(X_7,X_8)))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
top = join(complement(X_7),join(complement(X_8),meet(X_7,X_8))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_7),complement(X_8)),meet(X_7,X_8))) )],[refute_0_418,refute_0_421]) ).
cnf(refute_0_423,plain,
top = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,meet(top,top))))),
inference(subst,[],[refute_0_422:[bind(X_7,$fot(composition(skolemFOFtoCNF_X0,join(zero,zero)))),bind(X_8,$fot(composition(skolemFOFtoCNF_X0,meet(top,top))))]]) ).
cnf(refute_0_424,plain,
meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))) = zero,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_425,plain,
meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,complement(join(zero,zero)))) = zero,
inference(subst,[],[refute_0_424:[bind(X1,$fot(join(zero,zero)))]]) ).
cnf(refute_0_426,plain,
meet(top,top) = complement(join(zero,complement(top))),
inference(subst,[],[refute_0_79:[bind(X1,$fot(top))]]) ).
cnf(refute_0_427,plain,
( complement(top) != zero
| meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_428,plain,
( meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_427]) ).
cnf(refute_0_429,plain,
meet(top,top) = complement(join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_0_426,refute_0_428]) ).
cnf(refute_0_430,plain,
( meet(top,top) != complement(join(zero,zero))
| complement(join(zero,zero)) = meet(top,top) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(join(zero,zero))))]]) ).
cnf(refute_0_431,plain,
complement(join(zero,zero)) = meet(top,top),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
( complement(join(zero,zero)) != meet(top,top)
| meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,complement(join(zero,zero)))) != zero
| meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,meet(top,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,complement(join(zero,zero)))),zero) ),[0,1,1],$fot(meet(top,top))]]) ).
cnf(refute_0_433,plain,
( meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,complement(join(zero,zero)))) != zero
| meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,meet(top,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,meet(top,top))) = zero,
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,complement(join(zero,zero)))),zero) )],[refute_0_425,refute_0_433]) ).
cnf(refute_0_435,plain,
( meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,meet(top,top))) != zero
| top != join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,meet(top,top)))))
| top = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,meet(top,top)))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_436,plain,
( top != join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,meet(top,top)))))
| top = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,meet(top,top))),zero) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
top = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)),
inference(resolve,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),meet(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,meet(top,top)))))) )],[refute_0_423,refute_0_436]) ).
cnf(refute_0_438,plain,
join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero) = join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(zero)),bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))]]) ).
cnf(refute_0_439,plain,
join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)) = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)),
introduced(tautology,[refl,[$fot(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)))]]) ).
cnf(refute_0_440,plain,
( join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)) != join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero))
| join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero) != join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)) = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero))) ),[1,1],$fot(join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))]]) ).
cnf(refute_0_441,plain,
( join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero) != join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)) = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)) = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
( join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)) != join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))
| top != join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero))
| top = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero))) ),[1],$fot(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))))]]) ).
cnf(refute_0_444,plain,
( top != join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero))
| top = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero)),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
top = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))),
inference(resolve,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),zero))) )],[refute_0_437,refute_0_444]) ).
cnf(refute_0_446,plain,
( top != join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))))]]) ).
cnf(refute_0_447,plain,
join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
( join(X_34,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))) != join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) != top
| join(X_34,top) = join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))),join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_449,plain,
( join(X_34,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))) != join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))
| join(X_34,top) = join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))),top) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
join(X_34,top) = join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))),
inference(resolve,[$cnf( $equal(join(X_34,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))),join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))) )],[refute_0_414,refute_0_449]) ).
cnf(refute_0_451,plain,
join(X0,join(X_34,X_35)) = join(join(X_34,X_35),X0),
inference(subst,[],[refute_0_3:[bind(X1,$fot(join(X_34,X_35)))]]) ).
cnf(refute_0_452,plain,
join(X_34,join(X_35,X0)) = join(join(X_34,X_35),X0),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_34)),bind(X1,$fot(X_35)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_453,plain,
( join(X_34,join(X_35,X0)) != join(join(X_34,X_35),X0)
| join(join(X_34,X_35),X0) = join(X_34,join(X_35,X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_34,join(X_35,X0)))),bind(Y,$fot(join(join(X_34,X_35),X0)))]]) ).
cnf(refute_0_454,plain,
join(join(X_34,X_35),X0) = join(X_34,join(X_35,X0)),
inference(resolve,[$cnf( $equal(join(X_34,join(X_35,X0)),join(join(X_34,X_35),X0)) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
( join(X0,join(X_34,X_35)) != join(join(X_34,X_35),X0)
| join(join(X_34,X_35),X0) != join(X_34,join(X_35,X0))
| join(X0,join(X_34,X_35)) = join(X_34,join(X_35,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_34,X_35)),join(X_34,join(X_35,X0))) ),[0],$fot(join(join(X_34,X_35),X0))]]) ).
cnf(refute_0_456,plain,
( join(X0,join(X_34,X_35)) != join(join(X_34,X_35),X0)
| join(X0,join(X_34,X_35)) = join(X_34,join(X_35,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_34,X_35),X0),join(X_34,join(X_35,X0))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
join(X0,join(X_34,X_35)) = join(X_34,join(X_35,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_34,X_35)),join(join(X_34,X_35),X0)) )],[refute_0_451,refute_0_456]) ).
cnf(refute_0_458,plain,
( join(X0,join(X_34,X_35)) != join(X_34,join(X_35,X0))
| join(X_34,join(X_35,X0)) = join(X0,join(X_34,X_35)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X_34,X_35)))),bind(Y,$fot(join(X_34,join(X_35,X0))))]]) ).
cnf(refute_0_459,plain,
join(X_34,join(X_35,X0)) = join(X0,join(X_34,X_35)),
inference(resolve,[$cnf( $equal(join(X0,join(X_34,X_35)),join(X_34,join(X_35,X0))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))) = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)),
inference(subst,[],[refute_0_459:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))),bind(X_34,$fot(complement(composition(skolemFOFtoCNF_X0,meet(top,top))))),bind(X_35,$fot(X_34))]]) ).
cnf(refute_0_461,plain,
join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))))]]) ).
cnf(refute_0_462,plain,
( join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))) != join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))),join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))))) ),[1,1],$fot(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))]]) ).
cnf(refute_0_463,plain,
( join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))) != join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))),join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) )],[refute_0_460,refute_0_463]) ).
cnf(refute_0_465,plain,
join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),zero)) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))),
inference(subst,[],[refute_0_459:[bind(X0,$fot(zero)),bind(X_34,$fot(complement(composition(skolemFOFtoCNF_X0,meet(top,top))))),bind(X_35,$fot(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))))]]) ).
cnf(refute_0_466,plain,
join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) = join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),zero)),
inference(subst,[],[refute_0_459:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0,meet(top,top))))),bind(X_34,$fot(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))),bind(X_35,$fot(zero))]]) ).
cnf(refute_0_467,plain,
( join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),zero)) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))))
| join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) != join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),zero))
| join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),zero)))),bind(Z,$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))))))]]) ).
cnf(refute_0_468,plain,
( join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),zero)) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))))
| join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),zero))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),zero)),join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))))) )],[refute_0_465,refute_0_468]) ).
cnf(refute_0_470,plain,
( join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))
| join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))))),bind(Y,$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))))),bind(Z,$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))))]]) ).
cnf(refute_0_471,plain,
( join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))
| join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) ),
inference(resolve,[$cnf( $equal(join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))),join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))))),join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))) )],[refute_0_464,refute_0_471]) ).
cnf(refute_0_473,plain,
( join(X_34,top) != join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))
| join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))
| join(X_34,top) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_34,top),join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))) ),[0],$fot(join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))))]]) ).
cnf(refute_0_474,plain,
( join(X_34,top) != join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))
| join(X_34,top) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) ),
inference(resolve,[$cnf( $equal(join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top))))),join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
join(X_34,top) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))),
inference(resolve,[$cnf( $equal(join(X_34,top),join(join(X_34,complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))),join(zero,complement(composition(skolemFOFtoCNF_X0,meet(top,top)))))) )],[refute_0_450,refute_0_474]) ).
cnf(refute_0_476,plain,
( join(X_34,join(X_35,X_36)) != join(X_35,join(X_34,X_36))
| join(X_35,join(X_34,X_36)) = join(X_34,join(X_35,X_36)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_34,join(X_35,X_36)))),bind(Y,$fot(join(X_35,join(X_34,X_36))))]]) ).
cnf(refute_0_477,plain,
join(X_35,join(X_34,X_36)) = join(X_34,join(X_35,X_36)),
inference(resolve,[$cnf( $equal(join(X_34,join(X_35,X_36)),join(X_35,join(X_34,X_36))) )],[refute_0_399,refute_0_476]) ).
cnf(refute_0_478,plain,
join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)),
inference(subst,[],[refute_0_477:[bind(X_34,$fot(complement(composition(skolemFOFtoCNF_X0,complement(zero))))),bind(X_35,$fot(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))),bind(X_36,$fot(X_34))]]) ).
cnf(refute_0_479,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_480,plain,
( complement(complement(top)) != complement(complement(top))
| complement(top) != zero
| complement(complement(top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),complement(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_481,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_481]) ).
cnf(refute_0_483,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_484,plain,
composition(join(one,one),complement(X1)) = join(complement(X1),complement(X1)),
inference(subst,[],[refute_0_202:[bind(X_62,$fot(complement(X1)))]]) ).
cnf(refute_0_485,plain,
( composition(join(one,one),complement(X1)) != join(complement(X1),complement(X1))
| join(complement(X1),complement(X1)) = composition(join(one,one),complement(X1)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(one,one),complement(X1)))),bind(Y,$fot(join(complement(X1),complement(X1))))]]) ).
cnf(refute_0_486,plain,
join(complement(X1),complement(X1)) = composition(join(one,one),complement(X1)),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X1)),join(complement(X1),complement(X1))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
( join(complement(X1),complement(X1)) != composition(join(one,one),complement(X1))
| meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(composition(join(one,one),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) ),[1,0],$fot(composition(join(one,one),complement(X1)))]]) ).
cnf(refute_0_488,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(composition(join(one,one),complement(X1))) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),composition(join(one,one),complement(X1))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
meet(X1,X1) = complement(composition(join(one,one),complement(X1))),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_0_483,refute_0_488]) ).
cnf(refute_0_490,plain,
composition(join(one,one),complement(X1)) = complement(X1),
inference(subst,[],[refute_0_191:[bind(X_65,$fot(X1))]]) ).
cnf(refute_0_491,plain,
complement(composition(join(one,one),complement(X1))) = complement(composition(join(one,one),complement(X1))),
introduced(tautology,[refl,[$fot(complement(composition(join(one,one),complement(X1))))]]) ).
cnf(refute_0_492,plain,
( complement(composition(join(one,one),complement(X1))) != complement(composition(join(one,one),complement(X1)))
| composition(join(one,one),complement(X1)) != complement(X1)
| complement(composition(join(one,one),complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(join(one,one),complement(X1))),complement(composition(join(one,one),complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_493,plain,
( composition(join(one,one),complement(X1)) != complement(X1)
| complement(composition(join(one,one),complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),complement(X1))),complement(composition(join(one,one),complement(X1)))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
complement(composition(join(one,one),complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X1)),complement(X1)) )],[refute_0_490,refute_0_493]) ).
cnf(refute_0_495,plain,
( complement(composition(join(one,one),complement(X1))) != complement(complement(X1))
| meet(X1,X1) != complement(composition(join(one,one),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(composition(join(one,one),complement(X1)))) ),[1],$fot(complement(complement(X1)))]]) ).
cnf(refute_0_496,plain,
( meet(X1,X1) != complement(composition(join(one,one),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),complement(X1))),complement(complement(X1))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
meet(X1,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(composition(join(one,one),complement(X1)))) )],[refute_0_489,refute_0_496]) ).
cnf(refute_0_498,plain,
meet(top,top) = complement(complement(top)),
inference(subst,[],[refute_0_497:[bind(X1,$fot(top))]]) ).
cnf(refute_0_499,plain,
( complement(complement(top)) != complement(zero)
| meet(top,top) != complement(complement(top))
| meet(top,top) = complement(zero) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(complement(top)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_500,plain,
( complement(complement(top)) != complement(zero)
| meet(top,top) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(top,top),complement(complement(top))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
meet(top,top) = complement(zero),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_482,refute_0_500]) ).
cnf(refute_0_502,plain,
composition(skolemFOFtoCNF_X0,meet(top,top)) = composition(skolemFOFtoCNF_X0,meet(top,top)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,meet(top,top)))]]) ).
cnf(refute_0_503,plain,
( composition(skolemFOFtoCNF_X0,meet(top,top)) != composition(skolemFOFtoCNF_X0,meet(top,top))
| meet(top,top) != complement(zero)
| composition(skolemFOFtoCNF_X0,meet(top,top)) = composition(skolemFOFtoCNF_X0,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,meet(top,top)),composition(skolemFOFtoCNF_X0,meet(top,top))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_504,plain,
( meet(top,top) != complement(zero)
| composition(skolemFOFtoCNF_X0,meet(top,top)) = composition(skolemFOFtoCNF_X0,complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,meet(top,top)),composition(skolemFOFtoCNF_X0,meet(top,top))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
composition(skolemFOFtoCNF_X0,meet(top,top)) = composition(skolemFOFtoCNF_X0,complement(zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(zero)) )],[refute_0_501,refute_0_504]) ).
cnf(refute_0_506,plain,
complement(composition(skolemFOFtoCNF_X0,meet(top,top))) = complement(composition(skolemFOFtoCNF_X0,meet(top,top))),
introduced(tautology,[refl,[$fot(complement(composition(skolemFOFtoCNF_X0,meet(top,top))))]]) ).
cnf(refute_0_507,plain,
( complement(composition(skolemFOFtoCNF_X0,meet(top,top))) != complement(composition(skolemFOFtoCNF_X0,meet(top,top)))
| composition(skolemFOFtoCNF_X0,meet(top,top)) != composition(skolemFOFtoCNF_X0,complement(zero))
| complement(composition(skolemFOFtoCNF_X0,meet(top,top))) = complement(composition(skolemFOFtoCNF_X0,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),complement(composition(skolemFOFtoCNF_X0,meet(top,top)))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,complement(zero)))]]) ).
cnf(refute_0_508,plain,
( composition(skolemFOFtoCNF_X0,meet(top,top)) != composition(skolemFOFtoCNF_X0,complement(zero))
| complement(composition(skolemFOFtoCNF_X0,meet(top,top))) = complement(composition(skolemFOFtoCNF_X0,complement(zero))) ),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),complement(composition(skolemFOFtoCNF_X0,meet(top,top)))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
complement(composition(skolemFOFtoCNF_X0,meet(top,top))) = complement(composition(skolemFOFtoCNF_X0,complement(zero))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,meet(top,top)),composition(skolemFOFtoCNF_X0,complement(zero))) )],[refute_0_505,refute_0_508]) ).
cnf(refute_0_510,plain,
join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34) = join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34),
introduced(tautology,[refl,[$fot(join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))]]) ).
cnf(refute_0_511,plain,
( complement(composition(skolemFOFtoCNF_X0,meet(top,top))) != complement(composition(skolemFOFtoCNF_X0,complement(zero)))
| join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34) != join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)
| join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34) = join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) ),[1,0],$fot(complement(composition(skolemFOFtoCNF_X0,complement(zero))))]]) ).
cnf(refute_0_512,plain,
( complement(composition(skolemFOFtoCNF_X0,meet(top,top))) != complement(composition(skolemFOFtoCNF_X0,complement(zero)))
| join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34) = join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34) = join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),complement(composition(skolemFOFtoCNF_X0,complement(zero)))) )],[refute_0_509,refute_0_512]) ).
cnf(refute_0_514,plain,
join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)),
introduced(tautology,[refl,[$fot(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))]]) ).
cnf(refute_0_515,plain,
( join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) != join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))
| join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34) != join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) ),[1,1],$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))]]) ).
cnf(refute_0_516,plain,
( join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34) != join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)) )],[refute_0_513,refute_0_516]) ).
cnf(refute_0_518,plain,
( join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)) != join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) != join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)))),bind(Z,$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))))]]) ).
cnf(refute_0_519,plain,
( join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)) != join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) )],[refute_0_478,refute_0_519]) ).
cnf(refute_0_521,plain,
join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))))]]) ).
cnf(refute_0_522,plain,
( join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) != join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))),join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))) ),[1,1],$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)))]]) ).
cnf(refute_0_523,plain,
( join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)) != join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))),join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) )],[refute_0_520,refute_0_523]) ).
cnf(refute_0_525,plain,
( join(X_34,top) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)))
| join(X_34,top) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_34,top),join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)))) ),[0],$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))))]]) ).
cnf(refute_0_526,plain,
( join(X_34,top) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))
| join(X_34,top) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34))),join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
join(X_34,top) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))),
inference(resolve,[$cnf( $equal(join(X_34,top),join(zero,join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),join(complement(composition(skolemFOFtoCNF_X0,meet(top,top))),X_34)))) )],[refute_0_475,refute_0_526]) ).
cnf(refute_0_528,plain,
join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) = join(join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49))))),X2),
inference(subst,[],[refute_0_0:[bind(X0,$fot(zero)),bind(X1,$fot(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49))))))]]) ).
cnf(refute_0_529,plain,
top = join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))))),
inference(subst,[],[refute_0_422:[bind(X_7,$fot(composition(skolemFOFtoCNF_X0,X1))),bind(X_8,$fot(composition(skolemFOFtoCNF_X0,complement(X1))))]]) ).
cnf(refute_0_530,plain,
( meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))) != zero
| top != join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))))
| top = join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_531,plain,
( top != join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))))
| top = join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))),zero) )],[refute_0_424,refute_0_530]) ).
cnf(refute_0_532,plain,
top = join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)),
inference(resolve,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))))) )],[refute_0_529,refute_0_531]) ).
cnf(refute_0_533,plain,
join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero) = join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1)))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(zero)),bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,complement(X1)))))]]) ).
cnf(refute_0_534,plain,
join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)) = join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)),
introduced(tautology,[refl,[$fot(join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)))]]) ).
cnf(refute_0_535,plain,
( join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)) != join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero))
| join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero) != join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))
| join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)) = join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)),join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero))) ),[1,1],$fot(join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1)))))]]) ).
cnf(refute_0_536,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero) != join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))
| join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)) = join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)),join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)) = join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))) )],[refute_0_533,refute_0_536]) ).
cnf(refute_0_538,plain,
( join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)) != join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1)))))
| top != join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero))
| top = join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero))) ),[1],$fot(join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))))]]) ).
cnf(refute_0_539,plain,
( top != join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero))
| top = join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero)),join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1)))))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
top = join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))),
inference(resolve,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,X1)),join(complement(composition(skolemFOFtoCNF_X0,complement(X1))),zero))) )],[refute_0_532,refute_0_539]) ).
cnf(refute_0_541,plain,
join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))),
inference(subst,[],[refute_0_477:[bind(X_34,$fot(zero)),bind(X_35,$fot(complement(composition(skolemFOFtoCNF_X0,X1)))),bind(X_36,$fot(complement(composition(skolemFOFtoCNF_X0,complement(X1)))))]]) ).
cnf(refute_0_542,plain,
( join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))))
| top != join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1)))))
| top = join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1)))))) ),[1],$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))))]]) ).
cnf(refute_0_543,plain,
( top != join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1)))))
| top = join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1))))),join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
top = join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))),
inference(resolve,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,X1)),join(zero,complement(composition(skolemFOFtoCNF_X0,complement(X1)))))) )],[refute_0_540,refute_0_543]) ).
cnf(refute_0_545,plain,
top = join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49))))),
inference(subst,[],[refute_0_544:[bind(X1,$fot(X_49))]]) ).
cnf(refute_0_546,plain,
( top != join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49))))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))))))]]) ).
cnf(refute_0_547,plain,
join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49))))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
( join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49))))) != top
| join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) != join(join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49))))),X2)
| join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)),join(join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49))))),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_549,plain,
( join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) != join(join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49))))),X2)
| join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49))))),top) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)),join(join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49))))),X2)) )],[refute_0_528,refute_0_549]) ).
cnf(refute_0_551,plain,
join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2) = join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0,X_49)))),bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,complement(X_49)))))]]) ).
cnf(refute_0_552,plain,
join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) = join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)),
introduced(tautology,[refl,[$fot(join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)))]]) ).
cnf(refute_0_553,plain,
( join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2) != join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2))
| join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) != join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2))
| join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)),join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2))) ),[1,1],$fot(join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2)))]]) ).
cnf(refute_0_554,plain,
( join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2) != join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2))
| join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2))) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)),join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2))),
inference(resolve,[$cnf( $equal(join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2),join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2))) )],[refute_0_551,refute_0_554]) ).
cnf(refute_0_556,plain,
( join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) != join(top,X2)
| join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2)))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2))) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)),join(top,X2)) ),[0],$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2))))]]) ).
cnf(refute_0_557,plain,
( join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)) != join(top,X2)
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2))) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)),join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2)))) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
join(zero,join(complement(composition(skolemFOFtoCNF_X0,X_49)),join(complement(composition(skolemFOFtoCNF_X0,complement(X_49))),X2))) = join(top,X2),
inference(resolve,[$cnf( $equal(join(zero,join(join(complement(composition(skolemFOFtoCNF_X0,X_49)),complement(composition(skolemFOFtoCNF_X0,complement(X_49)))),X2)),join(top,X2)) )],[refute_0_550,refute_0_557]) ).
cnf(refute_0_559,plain,
join(zero,join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))) = join(top,X_34),
inference(subst,[],[refute_0_558:[bind(X2,$fot(X_34)),bind(X_49,$fot(zero))]]) ).
cnf(refute_0_560,plain,
join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)),
inference(subst,[],[refute_0_477:[bind(X_34,$fot(complement(composition(skolemFOFtoCNF_X0,zero)))),bind(X_35,$fot(complement(composition(skolemFOFtoCNF_X0,complement(zero))))),bind(X_36,$fot(X_34))]]) ).
cnf(refute_0_561,plain,
composition(skolemFOFtoCNF_X0,join(zero,zero)) = composition(skolemFOFtoCNF_X0,join(zero,zero)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,join(zero,zero)))]]) ).
cnf(refute_0_562,plain,
( composition(skolemFOFtoCNF_X0,join(zero,zero)) != composition(skolemFOFtoCNF_X0,join(zero,zero))
| join(zero,zero) != zero
| composition(skolemFOFtoCNF_X0,join(zero,zero)) = composition(skolemFOFtoCNF_X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,join(zero,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_563,plain,
( join(zero,zero) != zero
| composition(skolemFOFtoCNF_X0,join(zero,zero)) = composition(skolemFOFtoCNF_X0,zero) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,join(zero,zero))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
composition(skolemFOFtoCNF_X0,join(zero,zero)) = composition(skolemFOFtoCNF_X0,zero),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_209,refute_0_563]) ).
cnf(refute_0_565,plain,
complement(composition(skolemFOFtoCNF_X0,join(zero,zero))) = complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),
introduced(tautology,[refl,[$fot(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))))]]) ).
cnf(refute_0_566,plain,
( complement(composition(skolemFOFtoCNF_X0,join(zero,zero))) != complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))
| composition(skolemFOFtoCNF_X0,join(zero,zero)) != composition(skolemFOFtoCNF_X0,zero)
| complement(composition(skolemFOFtoCNF_X0,join(zero,zero))) = complement(composition(skolemFOFtoCNF_X0,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,zero))]]) ).
cnf(refute_0_567,plain,
( composition(skolemFOFtoCNF_X0,join(zero,zero)) != composition(skolemFOFtoCNF_X0,zero)
| complement(composition(skolemFOFtoCNF_X0,join(zero,zero))) = complement(composition(skolemFOFtoCNF_X0,zero)) ),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),complement(composition(skolemFOFtoCNF_X0,join(zero,zero)))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
complement(composition(skolemFOFtoCNF_X0,join(zero,zero))) = complement(composition(skolemFOFtoCNF_X0,zero)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(zero,zero)),composition(skolemFOFtoCNF_X0,zero)) )],[refute_0_564,refute_0_567]) ).
cnf(refute_0_569,plain,
join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34) = join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34),
introduced(tautology,[refl,[$fot(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))]]) ).
cnf(refute_0_570,plain,
( complement(composition(skolemFOFtoCNF_X0,join(zero,zero))) != complement(composition(skolemFOFtoCNF_X0,zero))
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34) != join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34) = join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) ),[1,0],$fot(complement(composition(skolemFOFtoCNF_X0,zero)))]]) ).
cnf(refute_0_571,plain,
( complement(composition(skolemFOFtoCNF_X0,join(zero,zero))) != complement(composition(skolemFOFtoCNF_X0,zero))
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34) = join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34) = join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),complement(composition(skolemFOFtoCNF_X0,zero))) )],[refute_0_568,refute_0_571]) ).
cnf(refute_0_573,plain,
join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)),
introduced(tautology,[refl,[$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)))]]) ).
cnf(refute_0_574,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) != join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))
| join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34) != join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34)
| join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) ),[1,1],$fot(join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34))]]) ).
cnf(refute_0_575,plain,
( join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34) != join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34)
| join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34)),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34),join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34)) )],[refute_0_572,refute_0_575]) ).
cnf(refute_0_577,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) != join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34))
| join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34)) != join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))
| join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34)))),bind(Z,$fot(join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))))]]) ).
cnf(refute_0_578,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34)) != join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))
| join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) = join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,zero)),X_34)),join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))) )],[refute_0_560,refute_0_578]) ).
cnf(refute_0_580,plain,
join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))))]]) ).
cnf(refute_0_581,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) != join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))),join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)))) ),[1,1],$fot(join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)))]]) ).
cnf(refute_0_582,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)) != join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))),join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) = join(zero,join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)),join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))) )],[refute_0_579,refute_0_582]) ).
cnf(refute_0_584,plain,
( join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))) != join(top,X_34)
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) = join(top,X_34) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))))),bind(Y,$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))))),bind(Z,$fot(join(top,X_34)))]]) ).
cnf(refute_0_585,plain,
( join(zero,join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))) != join(top,X_34)
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) = join(top,X_34) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))),join(zero,join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34)))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) = join(top,X_34),
inference(resolve,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,zero)),join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),X_34))),join(top,X_34)) )],[refute_0_559,refute_0_585]) ).
cnf(refute_0_587,plain,
( join(X_34,top) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)))
| join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))) != join(top,X_34)
| join(X_34,top) = join(top,X_34) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_34,top),join(top,X_34)) ),[0],$fot(join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))))]]) ).
cnf(refute_0_588,plain,
( join(X_34,top) != join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)))
| join(X_34,top) = join(top,X_34) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34))),join(top,X_34)) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
join(X_34,top) = join(top,X_34),
inference(resolve,[$cnf( $equal(join(X_34,top),join(zero,join(complement(composition(skolemFOFtoCNF_X0,complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,join(zero,zero))),X_34)))) )],[refute_0_527,refute_0_588]) ).
cnf(refute_0_590,plain,
join(X_34,top) = top,
inference(subst,[],[refute_0_262:[bind(X_41,$fot(X_34))]]) ).
cnf(refute_0_591,plain,
( join(X_34,top) != join(top,X_34)
| join(X_34,top) != top
| top = join(top,X_34) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,top),join(top,X_34)) ),[0],$fot(top)]]) ).
cnf(refute_0_592,plain,
( join(X_34,top) != join(top,X_34)
| top = join(top,X_34) ),
inference(resolve,[$cnf( $equal(join(X_34,top),top) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
top = join(top,X_34),
inference(resolve,[$cnf( $equal(join(X_34,top),join(top,X_34)) )],[refute_0_589,refute_0_592]) ).
cnf(refute_0_594,plain,
( top != join(top,X_34)
| join(top,X_34) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_34)))]]) ).
cnf(refute_0_595,plain,
join(top,X_34) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_34)) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
join(top,X_36) = top,
inference(subst,[],[refute_0_595:[bind(X_34,$fot(X_36))]]) ).
cnf(refute_0_597,plain,
( join(X_34,join(complement(X_34),X_36)) != join(top,X_36)
| join(top,X_36) != top
| join(X_34,join(complement(X_34),X_36)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_34,join(complement(X_34),X_36)),top) ),[0],$fot(join(top,X_36))]]) ).
cnf(refute_0_598,plain,
( join(X_34,join(complement(X_34),X_36)) != join(top,X_36)
| join(X_34,join(complement(X_34),X_36)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_36),top) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
join(X_34,join(complement(X_34),X_36)) = top,
inference(resolve,[$cnf( $equal(join(X_34,join(complement(X_34),X_36)),join(top,X_36)) )],[refute_0_221,refute_0_598]) ).
cnf(refute_0_600,plain,
join(complement(X_96),join(complement(complement(X_96)),X_36)) = top,
inference(subst,[],[refute_0_599:[bind(X_34,$fot(complement(X_96)))]]) ).
cnf(refute_0_601,plain,
( X_96 != join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(join(complement(X_96),join(complement(complement(X_96)),X_36))))
| join(complement(X_96),join(complement(complement(X_96)),X_36)) != top
| X_96 = join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_96,join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(join(complement(X_96),join(complement(complement(X_96)),X_36))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_602,plain,
( X_96 != join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(join(complement(X_96),join(complement(complement(X_96)),X_36))))
| X_96 = join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_96),join(complement(complement(X_96)),X_36)),top) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
X_96 = join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(join(complement(X_96),join(complement(complement(X_96)),X_36))))) )],[refute_0_413,refute_0_602]) ).
cnf(refute_0_604,plain,
join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))) = join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))))]]) ).
cnf(refute_0_605,plain,
( complement(top) != zero
| join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))) != join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36)))
| join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))) = join(zero,meet(X_96,join(complement(complement(X_96)),X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))),join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_606,plain,
( complement(top) != zero
| join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))) = join(zero,meet(X_96,join(complement(complement(X_96)),X_36))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))),join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36)))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))) = join(zero,meet(X_96,join(complement(complement(X_96)),X_36))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_606]) ).
cnf(refute_0_608,plain,
join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)) = join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_96,join(complement(complement(X_96)),X_36))))]]) ).
cnf(refute_0_609,plain,
( join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))) != join(zero,meet(X_96,join(complement(complement(X_96)),X_36)))
| join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)) != join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36)))
| join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)) = join(zero,meet(X_96,join(complement(complement(X_96)),X_36))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))))),bind(Z,$fot(join(zero,meet(X_96,join(complement(complement(X_96)),X_36)))))]]) ).
cnf(refute_0_610,plain,
( join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))) != join(zero,meet(X_96,join(complement(complement(X_96)),X_36)))
| join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)) = join(zero,meet(X_96,join(complement(complement(X_96)),X_36))) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)),join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36)))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)) = join(zero,meet(X_96,join(complement(complement(X_96)),X_36))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_96,join(complement(complement(X_96)),X_36))),join(zero,meet(X_96,join(complement(complement(X_96)),X_36)))) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
( X_96 != join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top))
| join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)) != join(zero,meet(X_96,join(complement(complement(X_96)),X_36)))
| X_96 = join(zero,meet(X_96,join(complement(complement(X_96)),X_36))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,join(zero,meet(X_96,join(complement(complement(X_96)),X_36)))) ),[0],$fot(join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)))]]) ).
cnf(refute_0_613,plain,
( X_96 != join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top))
| X_96 = join(zero,meet(X_96,join(complement(complement(X_96)),X_36))) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top)),join(zero,meet(X_96,join(complement(complement(X_96)),X_36)))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
X_96 = join(zero,meet(X_96,join(complement(complement(X_96)),X_36))),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,join(complement(complement(X_96)),X_36)),complement(top))) )],[refute_0_603,refute_0_613]) ).
cnf(refute_0_615,plain,
meet(top,X1) = X1,
inference(subst,[],[refute_0_305:[bind(X_98,$fot(X1))]]) ).
cnf(refute_0_616,plain,
( meet(top,X1) != X1
| meet(top,X1) != complement(join(zero,complement(X1)))
| X1 = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[0],$fot(X1)]]) ).
cnf(refute_0_617,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| X1 = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(complement(X1)))]]) ).
cnf(refute_0_619,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_620,plain,
( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_621,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_618,refute_0_621]) ).
cnf(refute_0_623,plain,
( X1 != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) != complement(complement(X1))
| X1 = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X1,complement(complement(X1))) ),[0],$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_624,plain,
( X1 != complement(join(zero,complement(X1)))
| X1 = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| X1 = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(X1,complement(join(zero,complement(X1)))) )],[refute_0_617,refute_0_624]) ).
cnf(refute_0_626,plain,
X1 = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_79,refute_0_625]) ).
cnf(refute_0_627,plain,
( X1 != complement(complement(X1))
| complement(complement(X1)) = X1 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X1)),bind(Y,$fot(complement(complement(X1))))]]) ).
cnf(refute_0_628,plain,
complement(complement(X1)) = X1,
inference(resolve,[$cnf( $equal(X1,complement(complement(X1))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
complement(complement(X_96)) = X_96,
inference(subst,[],[refute_0_628:[bind(X1,$fot(X_96))]]) ).
cnf(refute_0_630,plain,
join(complement(complement(X_96)),X_36) = join(complement(complement(X_96)),X_36),
introduced(tautology,[refl,[$fot(join(complement(complement(X_96)),X_36))]]) ).
cnf(refute_0_631,plain,
( complement(complement(X_96)) != X_96
| join(complement(complement(X_96)),X_36) != join(complement(complement(X_96)),X_36)
| join(complement(complement(X_96)),X_36) = join(X_96,X_36) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_96)),X_36),join(complement(complement(X_96)),X_36)) ),[1,0],$fot(X_96)]]) ).
cnf(refute_0_632,plain,
( complement(complement(X_96)) != X_96
| join(complement(complement(X_96)),X_36) = join(X_96,X_36) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_96)),X_36),join(complement(complement(X_96)),X_36)) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
join(complement(complement(X_96)),X_36) = join(X_96,X_36),
inference(resolve,[$cnf( $equal(complement(complement(X_96)),X_96) )],[refute_0_629,refute_0_632]) ).
cnf(refute_0_634,plain,
meet(X_96,join(complement(complement(X_96)),X_36)) = meet(X_96,join(complement(complement(X_96)),X_36)),
introduced(tautology,[refl,[$fot(meet(X_96,join(complement(complement(X_96)),X_36)))]]) ).
cnf(refute_0_635,plain,
( join(complement(complement(X_96)),X_36) != join(X_96,X_36)
| meet(X_96,join(complement(complement(X_96)),X_36)) != meet(X_96,join(complement(complement(X_96)),X_36))
| meet(X_96,join(complement(complement(X_96)),X_36)) = meet(X_96,join(X_96,X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_96,join(complement(complement(X_96)),X_36)),meet(X_96,join(complement(complement(X_96)),X_36))) ),[1,1],$fot(join(X_96,X_36))]]) ).
cnf(refute_0_636,plain,
( join(complement(complement(X_96)),X_36) != join(X_96,X_36)
| meet(X_96,join(complement(complement(X_96)),X_36)) = meet(X_96,join(X_96,X_36)) ),
inference(resolve,[$cnf( $equal(meet(X_96,join(complement(complement(X_96)),X_36)),meet(X_96,join(complement(complement(X_96)),X_36))) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
meet(X_96,join(complement(complement(X_96)),X_36)) = meet(X_96,join(X_96,X_36)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_96)),X_36),join(X_96,X_36)) )],[refute_0_633,refute_0_636]) ).
cnf(refute_0_638,plain,
join(zero,meet(X_96,join(complement(complement(X_96)),X_36))) = meet(X_96,join(complement(complement(X_96)),X_36)),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(meet(X_96,join(complement(complement(X_96)),X_36))))]]) ).
cnf(refute_0_639,plain,
( join(zero,meet(X_96,join(complement(complement(X_96)),X_36))) != meet(X_96,join(complement(complement(X_96)),X_36))
| meet(X_96,join(complement(complement(X_96)),X_36)) != meet(X_96,join(X_96,X_36))
| join(zero,meet(X_96,join(complement(complement(X_96)),X_36))) = meet(X_96,join(X_96,X_36)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(zero,meet(X_96,join(complement(complement(X_96)),X_36))))),bind(Y,$fot(meet(X_96,join(complement(complement(X_96)),X_36)))),bind(Z,$fot(meet(X_96,join(X_96,X_36))))]]) ).
cnf(refute_0_640,plain,
( meet(X_96,join(complement(complement(X_96)),X_36)) != meet(X_96,join(X_96,X_36))
| join(zero,meet(X_96,join(complement(complement(X_96)),X_36))) = meet(X_96,join(X_96,X_36)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_96,join(complement(complement(X_96)),X_36))),meet(X_96,join(complement(complement(X_96)),X_36))) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
join(zero,meet(X_96,join(complement(complement(X_96)),X_36))) = meet(X_96,join(X_96,X_36)),
inference(resolve,[$cnf( $equal(meet(X_96,join(complement(complement(X_96)),X_36)),meet(X_96,join(X_96,X_36))) )],[refute_0_637,refute_0_640]) ).
cnf(refute_0_642,plain,
( X_96 != join(zero,meet(X_96,join(complement(complement(X_96)),X_36)))
| join(zero,meet(X_96,join(complement(complement(X_96)),X_36))) != meet(X_96,join(X_96,X_36))
| X_96 = meet(X_96,join(X_96,X_36)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,meet(X_96,join(X_96,X_36))) ),[0],$fot(join(zero,meet(X_96,join(complement(complement(X_96)),X_36))))]]) ).
cnf(refute_0_643,plain,
( X_96 != join(zero,meet(X_96,join(complement(complement(X_96)),X_36)))
| X_96 = meet(X_96,join(X_96,X_36)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_96,join(complement(complement(X_96)),X_36))),meet(X_96,join(X_96,X_36))) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
X_96 = meet(X_96,join(X_96,X_36)),
inference(resolve,[$cnf( $equal(X_96,join(zero,meet(X_96,join(complement(complement(X_96)),X_36)))) )],[refute_0_614,refute_0_643]) ).
cnf(refute_0_645,plain,
X_96 = meet(X_96,join(X_96,X_116)),
inference(subst,[],[refute_0_644:[bind(X_36,$fot(X_116))]]) ).
cnf(refute_0_646,plain,
( X_96 != meet(X_96,join(X_96,X_116))
| meet(X_96,join(X_96,X_116)) = X_96 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_96)),bind(Y,$fot(meet(X_96,join(X_96,X_116))))]]) ).
cnf(refute_0_647,plain,
meet(X_96,join(X_96,X_116)) = X_96,
inference(resolve,[$cnf( $equal(X_96,meet(X_96,join(X_96,X_116))) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
( X_96 != join(meet(X_96,join(X_96,X_116)),meet(X_96,complement(join(X_96,X_116))))
| meet(X_96,join(X_96,X_116)) != X_96
| X_96 = join(X_96,meet(X_96,complement(join(X_96,X_116)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_96,join(meet(X_96,join(X_96,X_116)),meet(X_96,complement(join(X_96,X_116))))) ),[1,0],$fot(X_96)]]) ).
cnf(refute_0_649,plain,
( X_96 != join(meet(X_96,join(X_96,X_116)),meet(X_96,complement(join(X_96,X_116))))
| X_96 = join(X_96,meet(X_96,complement(join(X_96,X_116)))) ),
inference(resolve,[$cnf( $equal(meet(X_96,join(X_96,X_116)),X_96) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
X_96 = join(X_96,meet(X_96,complement(join(X_96,X_116)))),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,join(X_96,X_116)),meet(X_96,complement(join(X_96,X_116))))) )],[refute_0_412,refute_0_649]) ).
cnf(refute_0_651,plain,
X_251 = join(X_251,meet(X_251,complement(join(X_251,X_116)))),
inference(subst,[],[refute_0_650:[bind(X_96,$fot(X_251))]]) ).
cnf(refute_0_652,plain,
( X_251 != join(X_251,meet(X_251,complement(join(X_251,X_116))))
| join(X_251,meet(X_251,complement(join(X_251,X_116)))) = X_251 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_251)),bind(Y,$fot(join(X_251,meet(X_251,complement(join(X_251,X_116))))))]]) ).
cnf(refute_0_653,plain,
join(X_251,meet(X_251,complement(join(X_251,X_116)))) = X_251,
inference(resolve,[$cnf( $equal(X_251,join(X_251,meet(X_251,complement(join(X_251,X_116))))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
( join(X_250,join(X_251,meet(X_251,complement(join(X_251,X_116))))) != join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116)))))
| join(X_251,meet(X_251,complement(join(X_251,X_116)))) != X_251
| join(X_250,X_251) = join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_250,join(X_251,meet(X_251,complement(join(X_251,X_116))))),join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116)))))) ),[0,1],$fot(X_251)]]) ).
cnf(refute_0_655,plain,
( join(X_250,join(X_251,meet(X_251,complement(join(X_251,X_116))))) != join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116)))))
| join(X_250,X_251) = join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))) ),
inference(resolve,[$cnf( $equal(join(X_251,meet(X_251,complement(join(X_251,X_116)))),X_251) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
join(X_250,X_251) = join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))),
inference(resolve,[$cnf( $equal(join(X_250,join(X_251,meet(X_251,complement(join(X_251,X_116))))),join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116)))))) )],[refute_0_400,refute_0_655]) ).
cnf(refute_0_657,plain,
join(join(zero,X_75),zero) = join(zero,join(zero,X_75)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(join(zero,X_75))),bind(X1,$fot(zero))]]) ).
cnf(refute_0_658,plain,
join(zero,join(zero,X_75)) = join(zero,X_75),
inference(subst,[],[refute_0_212:[bind(X2,$fot(X_75))]]) ).
cnf(refute_0_659,plain,
( join(join(zero,X_75),zero) != join(zero,join(zero,X_75))
| join(zero,join(zero,X_75)) != join(zero,X_75)
| join(join(zero,X_75),zero) = join(zero,X_75) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(zero,X_75),zero),join(zero,X_75)) ),[0],$fot(join(zero,join(zero,X_75)))]]) ).
cnf(refute_0_660,plain,
( join(join(zero,X_75),zero) != join(zero,join(zero,X_75))
| join(join(zero,X_75),zero) = join(zero,X_75) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_75)),join(zero,X_75)) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
join(join(zero,X_75),zero) = join(zero,X_75),
inference(resolve,[$cnf( $equal(join(join(zero,X_75),zero),join(zero,join(zero,X_75))) )],[refute_0_657,refute_0_660]) ).
cnf(refute_0_662,plain,
join(join(zero,X_75),zero) = join(zero,join(X_75,zero)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(zero)),bind(X1,$fot(X_75)),bind(X2,$fot(zero))]]) ).
cnf(refute_0_663,plain,
( join(join(zero,X_75),zero) != join(zero,X_75)
| join(join(zero,X_75),zero) != join(zero,join(X_75,zero))
| join(zero,join(X_75,zero)) = join(zero,X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,X_75),zero),join(zero,X_75)) ),[0],$fot(join(zero,join(X_75,zero)))]]) ).
cnf(refute_0_664,plain,
( join(join(zero,X_75),zero) != join(zero,X_75)
| join(zero,join(X_75,zero)) = join(zero,X_75) ),
inference(resolve,[$cnf( $equal(join(join(zero,X_75),zero),join(zero,join(X_75,zero))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
join(zero,join(X_75,zero)) = join(zero,X_75),
inference(resolve,[$cnf( $equal(join(join(zero,X_75),zero),join(zero,X_75)) )],[refute_0_661,refute_0_664]) ).
cnf(refute_0_666,plain,
join(zero,join(meet(X_98,top),zero)) = join(zero,meet(X_98,top)),
inference(subst,[],[refute_0_665:[bind(X_75,$fot(meet(X_98,top)))]]) ).
cnf(refute_0_667,plain,
( join(zero,join(meet(X_98,top),zero)) != join(zero,meet(X_98,top))
| join(zero,meet(X_98,top)) != X_98
| join(zero,join(meet(X_98,top),zero)) = X_98 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,join(meet(X_98,top),zero)),X_98) ),[0],$fot(join(zero,meet(X_98,top)))]]) ).
cnf(refute_0_668,plain,
( join(zero,join(meet(X_98,top),zero)) != join(zero,meet(X_98,top))
| join(zero,join(meet(X_98,top),zero)) = X_98 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_98,top)),X_98) )],[refute_0_280,refute_0_667]) ).
cnf(refute_0_669,plain,
join(zero,join(meet(X_98,top),zero)) = X_98,
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_98,top),zero)),join(zero,meet(X_98,top))) )],[refute_0_666,refute_0_668]) ).
cnf(refute_0_670,plain,
join(zero,join(meet(X_98,top),X2)) = join(join(zero,meet(X_98,top)),X2),
inference(subst,[],[refute_0_0:[bind(X0,$fot(zero)),bind(X1,$fot(meet(X_98,top)))]]) ).
cnf(refute_0_671,plain,
( join(zero,join(meet(X_98,top),X2)) != join(join(zero,meet(X_98,top)),X2)
| join(zero,meet(X_98,top)) != X_98
| join(zero,join(meet(X_98,top),X2)) = join(X_98,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_98,top),X2)),join(join(zero,meet(X_98,top)),X2)) ),[1,0],$fot(X_98)]]) ).
cnf(refute_0_672,plain,
( join(zero,join(meet(X_98,top),X2)) != join(join(zero,meet(X_98,top)),X2)
| join(zero,join(meet(X_98,top),X2)) = join(X_98,X2) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_98,top)),X_98) )],[refute_0_280,refute_0_671]) ).
cnf(refute_0_673,plain,
join(zero,join(meet(X_98,top),X2)) = join(X_98,X2),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_98,top),X2)),join(join(zero,meet(X_98,top)),X2)) )],[refute_0_670,refute_0_672]) ).
cnf(refute_0_674,plain,
join(zero,join(meet(X_98,top),zero)) = join(X_98,zero),
inference(subst,[],[refute_0_673:[bind(X2,$fot(zero))]]) ).
cnf(refute_0_675,plain,
( join(zero,join(meet(X_98,top),zero)) != X_98
| join(zero,join(meet(X_98,top),zero)) != join(X_98,zero)
| join(X_98,zero) = X_98 ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_98,top),zero)),X_98) ),[0],$fot(join(X_98,zero))]]) ).
cnf(refute_0_676,plain,
( join(zero,join(meet(X_98,top),zero)) != X_98
| join(X_98,zero) = X_98 ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_98,top),zero)),join(X_98,zero)) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
join(X_98,zero) = X_98,
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_98,top),zero)),X_98) )],[refute_0_669,refute_0_676]) ).
cnf(refute_0_678,plain,
join(X_250,zero) = X_250,
inference(subst,[],[refute_0_677:[bind(X_98,$fot(X_250))]]) ).
cnf(refute_0_679,plain,
meet(X_294,complement(join(complement(complement(X_294)),X_36))) = complement(join(complement(X_294),join(complement(complement(X_294)),X_36))),
inference(subst,[],[refute_0_318:[bind(X0,$fot(X_294)),bind(X_19,$fot(join(complement(complement(X_294)),X_36)))]]) ).
cnf(refute_0_680,plain,
join(complement(X_294),join(complement(complement(X_294)),X_36)) = top,
inference(subst,[],[refute_0_599:[bind(X_34,$fot(complement(X_294)))]]) ).
cnf(refute_0_681,plain,
( join(complement(X_294),join(complement(complement(X_294)),X_36)) != top
| meet(X_294,complement(join(complement(complement(X_294)),X_36))) != complement(join(complement(X_294),join(complement(complement(X_294)),X_36)))
| meet(X_294,complement(join(complement(complement(X_294)),X_36))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(join(complement(complement(X_294)),X_36))),complement(join(complement(X_294),join(complement(complement(X_294)),X_36)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_682,plain,
( meet(X_294,complement(join(complement(complement(X_294)),X_36))) != complement(join(complement(X_294),join(complement(complement(X_294)),X_36)))
| meet(X_294,complement(join(complement(complement(X_294)),X_36))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_294),join(complement(complement(X_294)),X_36)),top) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
meet(X_294,complement(join(complement(complement(X_294)),X_36))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(complement(complement(X_294)),X_36))),complement(join(complement(X_294),join(complement(complement(X_294)),X_36)))) )],[refute_0_679,refute_0_682]) ).
cnf(refute_0_684,plain,
meet(complement(X_293),complement(X1)) = complement(join(X_293,complement(complement(X1)))),
inference(subst,[],[refute_0_363:[bind(X1,$fot(complement(X1))),bind(X_19,$fot(X_293))]]) ).
cnf(refute_0_685,plain,
( complement(complement(X1)) != X1
| meet(complement(X_293),complement(X1)) != complement(join(X_293,complement(complement(X1))))
| meet(complement(X_293),complement(X1)) = complement(join(X_293,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_293),complement(X1)),complement(join(X_293,complement(complement(X1))))) ),[1,0,1],$fot(X1)]]) ).
cnf(refute_0_686,plain,
( meet(complement(X_293),complement(X1)) != complement(join(X_293,complement(complement(X1))))
| meet(complement(X_293),complement(X1)) = complement(join(X_293,X1)) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_685]) ).
cnf(refute_0_687,plain,
meet(complement(X_293),complement(X1)) = complement(join(X_293,X1)),
inference(resolve,[$cnf( $equal(meet(complement(X_293),complement(X1)),complement(join(X_293,complement(complement(X1))))) )],[refute_0_684,refute_0_686]) ).
cnf(refute_0_688,plain,
meet(complement(X_294),complement(X_36)) = complement(join(X_294,X_36)),
inference(subst,[],[refute_0_687:[bind(X1,$fot(X_36)),bind(X_293,$fot(X_294))]]) ).
cnf(refute_0_689,plain,
complement(join(complement(complement(X_294)),X_36)) = meet(complement(X_294),complement(X_36)),
inference(subst,[],[refute_0_320:[bind(X0,$fot(complement(X_294))),bind(X_19,$fot(X_36))]]) ).
cnf(refute_0_690,plain,
( complement(join(complement(complement(X_294)),X_36)) != meet(complement(X_294),complement(X_36))
| meet(complement(X_294),complement(X_36)) != complement(join(X_294,X_36))
| complement(join(complement(complement(X_294)),X_36)) = complement(join(X_294,X_36)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(complement(join(complement(complement(X_294)),X_36)))),bind(Y,$fot(meet(complement(X_294),complement(X_36)))),bind(Z,$fot(complement(join(X_294,X_36))))]]) ).
cnf(refute_0_691,plain,
( meet(complement(X_294),complement(X_36)) != complement(join(X_294,X_36))
| complement(join(complement(complement(X_294)),X_36)) = complement(join(X_294,X_36)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_294)),X_36)),meet(complement(X_294),complement(X_36))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
complement(join(complement(complement(X_294)),X_36)) = complement(join(X_294,X_36)),
inference(resolve,[$cnf( $equal(meet(complement(X_294),complement(X_36)),complement(join(X_294,X_36))) )],[refute_0_688,refute_0_691]) ).
cnf(refute_0_693,plain,
meet(X_294,complement(join(complement(complement(X_294)),X_36))) = meet(X_294,complement(join(complement(complement(X_294)),X_36))),
introduced(tautology,[refl,[$fot(meet(X_294,complement(join(complement(complement(X_294)),X_36))))]]) ).
cnf(refute_0_694,plain,
( complement(join(complement(complement(X_294)),X_36)) != complement(join(X_294,X_36))
| meet(X_294,complement(join(complement(complement(X_294)),X_36))) != meet(X_294,complement(join(complement(complement(X_294)),X_36)))
| meet(X_294,complement(join(complement(complement(X_294)),X_36))) = meet(X_294,complement(join(X_294,X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(join(complement(complement(X_294)),X_36))),meet(X_294,complement(join(complement(complement(X_294)),X_36)))) ),[1,1],$fot(complement(join(X_294,X_36)))]]) ).
cnf(refute_0_695,plain,
( complement(join(complement(complement(X_294)),X_36)) != complement(join(X_294,X_36))
| meet(X_294,complement(join(complement(complement(X_294)),X_36))) = meet(X_294,complement(join(X_294,X_36))) ),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(complement(complement(X_294)),X_36))),meet(X_294,complement(join(complement(complement(X_294)),X_36)))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
meet(X_294,complement(join(complement(complement(X_294)),X_36))) = meet(X_294,complement(join(X_294,X_36))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_294)),X_36)),complement(join(X_294,X_36))) )],[refute_0_692,refute_0_695]) ).
cnf(refute_0_697,plain,
( meet(X_294,complement(join(complement(complement(X_294)),X_36))) != complement(top)
| meet(X_294,complement(join(complement(complement(X_294)),X_36))) != meet(X_294,complement(join(X_294,X_36)))
| meet(X_294,complement(join(X_294,X_36))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(join(complement(complement(X_294)),X_36))),complement(top)) ),[0],$fot(meet(X_294,complement(join(X_294,X_36))))]]) ).
cnf(refute_0_698,plain,
( meet(X_294,complement(join(complement(complement(X_294)),X_36))) != complement(top)
| meet(X_294,complement(join(X_294,X_36))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(complement(complement(X_294)),X_36))),meet(X_294,complement(join(X_294,X_36)))) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
( complement(top) != zero
| meet(X_294,complement(join(X_294,X_36))) != complement(top)
| meet(X_294,complement(join(X_294,X_36))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(join(X_294,X_36))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_700,plain,
( meet(X_294,complement(join(X_294,X_36))) != complement(top)
| meet(X_294,complement(join(X_294,X_36))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_699]) ).
cnf(refute_0_701,plain,
( meet(X_294,complement(join(complement(complement(X_294)),X_36))) != complement(top)
| meet(X_294,complement(join(X_294,X_36))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(X_294,X_36))),complement(top)) )],[refute_0_698,refute_0_700]) ).
cnf(refute_0_702,plain,
meet(X_294,complement(join(X_294,X_36))) = zero,
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(complement(complement(X_294)),X_36))),complement(top)) )],[refute_0_683,refute_0_701]) ).
cnf(refute_0_703,plain,
meet(X_251,complement(join(X_251,X_116))) = zero,
inference(subst,[],[refute_0_702:[bind(X_294,$fot(X_251)),bind(X_36,$fot(X_116))]]) ).
cnf(refute_0_704,plain,
join(X_250,meet(X_251,complement(join(X_251,X_116)))) = join(X_250,meet(X_251,complement(join(X_251,X_116)))),
introduced(tautology,[refl,[$fot(join(X_250,meet(X_251,complement(join(X_251,X_116)))))]]) ).
cnf(refute_0_705,plain,
( join(X_250,meet(X_251,complement(join(X_251,X_116)))) != join(X_250,meet(X_251,complement(join(X_251,X_116))))
| meet(X_251,complement(join(X_251,X_116))) != zero
| join(X_250,meet(X_251,complement(join(X_251,X_116)))) = join(X_250,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_250,meet(X_251,complement(join(X_251,X_116)))),join(X_250,meet(X_251,complement(join(X_251,X_116))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_706,plain,
( meet(X_251,complement(join(X_251,X_116))) != zero
| join(X_250,meet(X_251,complement(join(X_251,X_116)))) = join(X_250,zero) ),
inference(resolve,[$cnf( $equal(join(X_250,meet(X_251,complement(join(X_251,X_116)))),join(X_250,meet(X_251,complement(join(X_251,X_116))))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
join(X_250,meet(X_251,complement(join(X_251,X_116)))) = join(X_250,zero),
inference(resolve,[$cnf( $equal(meet(X_251,complement(join(X_251,X_116))),zero) )],[refute_0_703,refute_0_706]) ).
cnf(refute_0_708,plain,
( join(X_250,meet(X_251,complement(join(X_251,X_116)))) != join(X_250,zero)
| join(X_250,zero) != X_250
| join(X_250,meet(X_251,complement(join(X_251,X_116)))) = X_250 ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(X_250,meet(X_251,complement(join(X_251,X_116)))))),bind(Y,$fot(join(X_250,zero))),bind(Z,$fot(X_250))]]) ).
cnf(refute_0_709,plain,
( join(X_250,zero) != X_250
| join(X_250,meet(X_251,complement(join(X_251,X_116)))) = X_250 ),
inference(resolve,[$cnf( $equal(join(X_250,meet(X_251,complement(join(X_251,X_116)))),join(X_250,zero)) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
join(X_250,meet(X_251,complement(join(X_251,X_116)))) = X_250,
inference(resolve,[$cnf( $equal(join(X_250,zero),X_250) )],[refute_0_678,refute_0_709]) ).
cnf(refute_0_711,plain,
join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))) = join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))),
introduced(tautology,[refl,[$fot(join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))))]]) ).
cnf(refute_0_712,plain,
( join(X_250,meet(X_251,complement(join(X_251,X_116)))) != X_250
| join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))) != join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116)))))
| join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))) = join(X_251,X_250) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))),join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116)))))) ),[1,1],$fot(X_250)]]) ).
cnf(refute_0_713,plain,
( join(X_250,meet(X_251,complement(join(X_251,X_116)))) != X_250
| join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))) = join(X_251,X_250) ),
inference(resolve,[$cnf( $equal(join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))),join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116)))))) )],[refute_0_711,refute_0_712]) ).
cnf(refute_0_714,plain,
join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))) = join(X_251,X_250),
inference(resolve,[$cnf( $equal(join(X_250,meet(X_251,complement(join(X_251,X_116)))),X_250) )],[refute_0_710,refute_0_713]) ).
cnf(refute_0_715,plain,
( join(X_250,X_251) != join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116)))))
| join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))) != join(X_251,X_250)
| join(X_250,X_251) = join(X_251,X_250) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_250,X_251),join(X_251,X_250)) ),[0],$fot(join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))))]]) ).
cnf(refute_0_716,plain,
( join(X_250,X_251) != join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116)))))
| join(X_250,X_251) = join(X_251,X_250) ),
inference(resolve,[$cnf( $equal(join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116))))),join(X_251,X_250)) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
join(X_250,X_251) = join(X_251,X_250),
inference(resolve,[$cnf( $equal(join(X_250,X_251),join(X_251,join(X_250,meet(X_251,complement(join(X_251,X_116)))))) )],[refute_0_656,refute_0_716]) ).
cnf(refute_0_718,plain,
( join(X_250,X_251) != join(X_251,X_250)
| join(X_251,X_250) = join(X_250,X_251) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_250,X_251))),bind(Y,$fot(join(X_251,X_250)))]]) ).
cnf(refute_0_719,plain,
join(X_251,X_250) = join(X_250,X_251),
inference(resolve,[$cnf( $equal(join(X_250,X_251),join(X_251,X_250)) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
join(meet(X_370,X_369),complement(X_370)) = join(complement(X_370),meet(X_370,X_369)),
inference(subst,[],[refute_0_719:[bind(X_250,$fot(complement(X_370))),bind(X_251,$fot(meet(X_370,X_369)))]]) ).
cnf(refute_0_721,plain,
( join(meet(X_370,X_369),complement(X_370)) != join(X_369,meet(complement(X_369),complement(X_370)))
| join(meet(X_370,X_369),complement(X_370)) != join(complement(X_370),meet(X_370,X_369))
| join(complement(X_370),meet(X_370,X_369)) = join(X_369,meet(complement(X_369),complement(X_370))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_370,X_369),complement(X_370)),join(X_369,meet(complement(X_369),complement(X_370)))) ),[0],$fot(join(complement(X_370),meet(X_370,X_369)))]]) ).
cnf(refute_0_722,plain,
( join(meet(X_370,X_369),complement(X_370)) != join(X_369,meet(complement(X_369),complement(X_370)))
| join(complement(X_370),meet(X_370,X_369)) = join(X_369,meet(complement(X_369),complement(X_370))) ),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),complement(X_370)),join(complement(X_370),meet(X_370,X_369))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
join(X_332,complement(X_333)) = join(meet(join(X_332,X_333),join(X_332,complement(X_333))),meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))),
inference(subst,[],[refute_0_328:[bind(X_96,$fot(join(X_332,complement(X_333)))),bind(X_97,$fot(join(X_332,X_333)))]]) ).
cnf(refute_0_724,plain,
meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) = complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326))),
inference(subst,[],[refute_0_318:[bind(X0,$fot(join(X_325,X_326))),bind(X_19,$fot(meet(complement(X_325),X_326)))]]) ).
cnf(refute_0_725,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_97),complement(join(complement(join(zero,complement(X1))),X_97))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(join(zero,complement(X1)))),bind(X1,$fot(X_97))]]) ).
cnf(refute_0_726,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_727,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_79,refute_0_726]) ).
cnf(refute_0_728,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_97),complement(join(complement(join(zero,complement(X1))),X_97)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_97),complement(join(meet(top,X1),X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_97),complement(join(complement(join(zero,complement(X1))),X_97)))) ),[1,1,0,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_729,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_97),complement(join(complement(join(zero,complement(X1))),X_97)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_97),complement(join(meet(top,X1),X_97))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_97),complement(join(meet(top,X1),X_97))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_97),complement(join(complement(join(zero,complement(X1))),X_97)))) )],[refute_0_725,refute_0_729]) ).
cnf(refute_0_731,plain,
join(meet(join(zero,complement(X1)),X_97),complement(join(meet(top,X1),X_97))) = join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(join(meet(top,X1),X_97)))),bind(X1,$fot(meet(join(zero,complement(X1)),X_97)))]]) ).
cnf(refute_0_732,plain,
( join(meet(join(zero,complement(X1)),X_97),complement(join(meet(top,X1),X_97))) != join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_97),complement(join(meet(top,X1),X_97)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_97),complement(join(meet(top,X1),X_97)))) ),[1],$fot(join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)))]]) ).
cnf(refute_0_733,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_97),complement(join(meet(top,X1),X_97)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(X1)),X_97),complement(join(meet(top,X1),X_97))),join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_97),complement(join(meet(top,X1),X_97)))) )],[refute_0_730,refute_0_733]) ).
cnf(refute_0_735,plain,
( join(zero,complement(X1)) != complement(X1)
| join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))
| complement(X1) = join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))) ),[0],$fot(complement(X1))]]) ).
cnf(refute_0_736,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))
| complement(X1) = join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_618,refute_0_735]) ).
cnf(refute_0_737,plain,
meet(join(zero,complement(X1)),X_97) = meet(join(zero,complement(X1)),X_97),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),X_97))]]) ).
cnf(refute_0_738,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_97) != meet(join(zero,complement(X1)),X_97)
| meet(join(zero,complement(X1)),X_97) = meet(complement(X1),X_97) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),X_97),meet(join(zero,complement(X1)),X_97)) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_739,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_97) = meet(complement(X1),X_97) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_97),meet(join(zero,complement(X1)),X_97)) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
meet(join(zero,complement(X1)),X_97) = meet(complement(X1),X_97),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_618,refute_0_739]) ).
cnf(refute_0_741,plain,
join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)) = join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)),
introduced(tautology,[refl,[$fot(join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)))]]) ).
cnf(refute_0_742,plain,
( join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)) != join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97))
| meet(join(zero,complement(X1)),X_97) != meet(complement(X1),X_97)
| join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)) = join(complement(join(X1,X_97)),meet(complement(X1),X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)),join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97))) ),[1,1],$fot(meet(complement(X1),X_97))]]) ).
cnf(refute_0_743,plain,
( meet(join(zero,complement(X1)),X_97) != meet(complement(X1),X_97)
| join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)) = join(complement(join(X1,X_97)),meet(complement(X1),X_97)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)),join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97))) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)) = join(complement(join(X1,X_97)),meet(complement(X1),X_97)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_97),meet(complement(X1),X_97)) )],[refute_0_740,refute_0_743]) ).
cnf(refute_0_745,plain,
join(meet(top,X1),X_97) = join(meet(top,X1),X_97),
introduced(tautology,[refl,[$fot(join(meet(top,X1),X_97))]]) ).
cnf(refute_0_746,plain,
( join(meet(top,X1),X_97) != join(meet(top,X1),X_97)
| meet(top,X1) != X1
| join(meet(top,X1),X_97) = join(X1,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),X_97),join(meet(top,X1),X_97)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_747,plain,
( meet(top,X1) != X1
| join(meet(top,X1),X_97) = join(X1,X_97) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_97),join(meet(top,X1),X_97)) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
join(meet(top,X1),X_97) = join(X1,X_97),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_615,refute_0_747]) ).
cnf(refute_0_749,plain,
complement(join(meet(top,X1),X_97)) = complement(join(meet(top,X1),X_97)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X1),X_97)))]]) ).
cnf(refute_0_750,plain,
( complement(join(meet(top,X1),X_97)) != complement(join(meet(top,X1),X_97))
| join(meet(top,X1),X_97) != join(X1,X_97)
| complement(join(meet(top,X1),X_97)) = complement(join(X1,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X1),X_97)),complement(join(meet(top,X1),X_97))) ),[1,0],$fot(join(X1,X_97))]]) ).
cnf(refute_0_751,plain,
( join(meet(top,X1),X_97) != join(X1,X_97)
| complement(join(meet(top,X1),X_97)) = complement(join(X1,X_97)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_97)),complement(join(meet(top,X1),X_97))) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
complement(join(meet(top,X1),X_97)) = complement(join(X1,X_97)),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_97),join(X1,X_97)) )],[refute_0_748,refute_0_751]) ).
cnf(refute_0_753,plain,
join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) = join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)))]]) ).
cnf(refute_0_754,plain,
( complement(join(meet(top,X1),X_97)) != complement(join(X1,X_97))
| join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) != join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))
| join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) = join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)),join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))) ),[1,0],$fot(complement(join(X1,X_97)))]]) ).
cnf(refute_0_755,plain,
( complement(join(meet(top,X1),X_97)) != complement(join(X1,X_97))
| join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) = join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)),join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) = join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_97)),complement(join(X1,X_97))) )],[refute_0_752,refute_0_755]) ).
cnf(refute_0_757,plain,
( join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)) != join(complement(join(X1,X_97)),meet(complement(X1),X_97))
| join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) != join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97))
| join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) = join(complement(join(X1,X_97)),meet(complement(X1),X_97)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)))),bind(Y,$fot(join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)))),bind(Z,$fot(join(complement(join(X1,X_97)),meet(complement(X1),X_97))))]]) ).
cnf(refute_0_758,plain,
( join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)) != join(complement(join(X1,X_97)),meet(complement(X1),X_97))
| join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) = join(complement(join(X1,X_97)),meet(complement(X1),X_97)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)),join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) = join(complement(join(X1,X_97)),meet(complement(X1),X_97)),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_97)),meet(join(zero,complement(X1)),X_97)),join(complement(join(X1,X_97)),meet(complement(X1),X_97))) )],[refute_0_744,refute_0_758]) ).
cnf(refute_0_760,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))
| join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)) != join(complement(join(X1,X_97)),meet(complement(X1),X_97))
| complement(X1) = join(complement(join(X1,X_97)),meet(complement(X1),X_97)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),join(complement(join(X1,X_97)),meet(complement(X1),X_97))) ),[0],$fot(join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)))]]) ).
cnf(refute_0_761,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))
| complement(X1) = join(complement(join(X1,X_97)),meet(complement(X1),X_97)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97)),join(complement(join(X1,X_97)),meet(complement(X1),X_97))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))
| complement(X1) = join(complement(join(X1,X_97)),meet(complement(X1),X_97)) ),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))) )],[refute_0_736,refute_0_761]) ).
cnf(refute_0_763,plain,
complement(X1) = join(complement(join(X1,X_97)),meet(complement(X1),X_97)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_97)),meet(join(zero,complement(X1)),X_97))) )],[refute_0_734,refute_0_762]) ).
cnf(refute_0_764,plain,
complement(X_325) = join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)),
inference(subst,[],[refute_0_763:[bind(X1,$fot(X_325)),bind(X_97,$fot(X_326))]]) ).
cnf(refute_0_765,plain,
( complement(X_325) != join(complement(join(X_325,X_326)),meet(complement(X_325),X_326))
| join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)) = complement(X_325) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X_325))),bind(Y,$fot(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326))))]]) ).
cnf(refute_0_766,plain,
join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)) = complement(X_325),
inference(resolve,[$cnf( $equal(complement(X_325),join(complement(join(X_325,X_326)),meet(complement(X_325),X_326))) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
( join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)) != complement(X_325)
| meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) != complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)))
| meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) = complement(complement(X_325)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))),complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)))) ),[1,0],$fot(complement(X_325))]]) ).
cnf(refute_0_768,plain,
( meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) != complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)))
| meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) = complement(complement(X_325)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)),complement(X_325)) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) = complement(complement(X_325)),
inference(resolve,[$cnf( $equal(meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))),complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)))) )],[refute_0_724,refute_0_768]) ).
cnf(refute_0_770,plain,
join(X_293,complement(X_292)) = complement(complement(join(X_293,complement(X_292)))),
inference(subst,[],[refute_0_626:[bind(X1,$fot(join(X_293,complement(X_292))))]]) ).
cnf(refute_0_771,plain,
meet(complement(X_293),X_292) = complement(join(X_293,complement(X_292))),
inference(subst,[],[refute_0_363:[bind(X1,$fot(X_292)),bind(X_19,$fot(X_293))]]) ).
cnf(refute_0_772,plain,
( meet(complement(X_293),X_292) != complement(join(X_293,complement(X_292)))
| complement(join(X_293,complement(X_292))) = meet(complement(X_293),X_292) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(complement(X_293),X_292))),bind(Y,$fot(complement(join(X_293,complement(X_292)))))]]) ).
cnf(refute_0_773,plain,
complement(join(X_293,complement(X_292))) = meet(complement(X_293),X_292),
inference(resolve,[$cnf( $equal(meet(complement(X_293),X_292),complement(join(X_293,complement(X_292)))) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
( complement(join(X_293,complement(X_292))) != meet(complement(X_293),X_292)
| join(X_293,complement(X_292)) != complement(complement(join(X_293,complement(X_292))))
| join(X_293,complement(X_292)) = complement(meet(complement(X_293),X_292)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_293,complement(X_292)),complement(complement(join(X_293,complement(X_292))))) ),[1,0],$fot(meet(complement(X_293),X_292))]]) ).
cnf(refute_0_775,plain,
( join(X_293,complement(X_292)) != complement(complement(join(X_293,complement(X_292))))
| join(X_293,complement(X_292)) = complement(meet(complement(X_293),X_292)) ),
inference(resolve,[$cnf( $equal(complement(join(X_293,complement(X_292))),meet(complement(X_293),X_292)) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
join(X_293,complement(X_292)) = complement(meet(complement(X_293),X_292)),
inference(resolve,[$cnf( $equal(join(X_293,complement(X_292)),complement(complement(join(X_293,complement(X_292))))) )],[refute_0_770,refute_0_775]) ).
cnf(refute_0_777,plain,
( join(X_293,complement(X_292)) != complement(meet(complement(X_293),X_292))
| complement(meet(complement(X_293),X_292)) = join(X_293,complement(X_292)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_293,complement(X_292)))),bind(Y,$fot(complement(meet(complement(X_293),X_292))))]]) ).
cnf(refute_0_778,plain,
complement(meet(complement(X_293),X_292)) = join(X_293,complement(X_292)),
inference(resolve,[$cnf( $equal(join(X_293,complement(X_292)),complement(meet(complement(X_293),X_292))) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
complement(meet(complement(X_325),X_326)) = join(X_325,complement(X_326)),
inference(subst,[],[refute_0_778:[bind(X_292,$fot(X_326)),bind(X_293,$fot(X_325))]]) ).
cnf(refute_0_780,plain,
meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) = meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))),
introduced(tautology,[refl,[$fot(meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))))]]) ).
cnf(refute_0_781,plain,
( complement(meet(complement(X_325),X_326)) != join(X_325,complement(X_326))
| meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) != meet(join(X_325,X_326),complement(meet(complement(X_325),X_326)))
| meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) = meet(join(X_325,X_326),join(X_325,complement(X_326))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))),meet(join(X_325,X_326),complement(meet(complement(X_325),X_326)))) ),[1,1],$fot(join(X_325,complement(X_326)))]]) ).
cnf(refute_0_782,plain,
( complement(meet(complement(X_325),X_326)) != join(X_325,complement(X_326))
| meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) = meet(join(X_325,X_326),join(X_325,complement(X_326))) ),
inference(resolve,[$cnf( $equal(meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))),meet(join(X_325,X_326),complement(meet(complement(X_325),X_326)))) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) = meet(join(X_325,X_326),join(X_325,complement(X_326))),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_325),X_326)),join(X_325,complement(X_326))) )],[refute_0_779,refute_0_782]) ).
cnf(refute_0_784,plain,
( meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) != complement(complement(X_325))
| meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) != meet(join(X_325,X_326),join(X_325,complement(X_326)))
| meet(join(X_325,X_326),join(X_325,complement(X_326))) = complement(complement(X_325)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))),complement(complement(X_325))) ),[0],$fot(meet(join(X_325,X_326),join(X_325,complement(X_326))))]]) ).
cnf(refute_0_785,plain,
( meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) != complement(complement(X_325))
| meet(join(X_325,X_326),join(X_325,complement(X_326))) = complement(complement(X_325)) ),
inference(resolve,[$cnf( $equal(meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))),meet(join(X_325,X_326),join(X_325,complement(X_326)))) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
complement(complement(X_325)) = X_325,
inference(subst,[],[refute_0_628:[bind(X1,$fot(X_325))]]) ).
cnf(refute_0_787,plain,
( complement(complement(X_325)) != X_325
| meet(join(X_325,X_326),join(X_325,complement(X_326))) != complement(complement(X_325))
| meet(join(X_325,X_326),join(X_325,complement(X_326))) = X_325 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_325,X_326),join(X_325,complement(X_326))),complement(complement(X_325))) ),[1],$fot(X_325)]]) ).
cnf(refute_0_788,plain,
( meet(join(X_325,X_326),join(X_325,complement(X_326))) != complement(complement(X_325))
| meet(join(X_325,X_326),join(X_325,complement(X_326))) = X_325 ),
inference(resolve,[$cnf( $equal(complement(complement(X_325)),X_325) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
( meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))) != complement(complement(X_325))
| meet(join(X_325,X_326),join(X_325,complement(X_326))) = X_325 ),
inference(resolve,[$cnf( $equal(meet(join(X_325,X_326),join(X_325,complement(X_326))),complement(complement(X_325))) )],[refute_0_785,refute_0_788]) ).
cnf(refute_0_790,plain,
meet(join(X_325,X_326),join(X_325,complement(X_326))) = X_325,
inference(resolve,[$cnf( $equal(meet(join(X_325,X_326),complement(meet(complement(X_325),X_326))),complement(complement(X_325))) )],[refute_0_769,refute_0_789]) ).
cnf(refute_0_791,plain,
meet(join(X_332,X_333),join(X_332,complement(X_333))) = X_332,
inference(subst,[],[refute_0_790:[bind(X_325,$fot(X_332)),bind(X_326,$fot(X_333))]]) ).
cnf(refute_0_792,plain,
( join(X_332,complement(X_333)) != join(meet(join(X_332,X_333),join(X_332,complement(X_333))),meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))))
| meet(join(X_332,X_333),join(X_332,complement(X_333))) != X_332
| join(X_332,complement(X_333)) = join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_332,complement(X_333)),join(meet(join(X_332,X_333),join(X_332,complement(X_333))),meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))))) ),[1,0],$fot(X_332)]]) ).
cnf(refute_0_793,plain,
( join(X_332,complement(X_333)) != join(meet(join(X_332,X_333),join(X_332,complement(X_333))),meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))))
| join(X_332,complement(X_333)) = join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_332,X_333),join(X_332,complement(X_333))),X_332) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
join(X_332,complement(X_333)) = join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))),
inference(resolve,[$cnf( $equal(join(X_332,complement(X_333)),join(meet(join(X_332,X_333),join(X_332,complement(X_333))),meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))))) )],[refute_0_723,refute_0_793]) ).
cnf(refute_0_795,plain,
join(join(X_332,X_333),meet(complement(X_332),X_333)) = join(X_332,join(X_333,meet(complement(X_332),X_333))),
inference(subst,[],[refute_0_395:[bind(X0,$fot(X_332)),bind(X1,$fot(X_333)),bind(X2,$fot(meet(complement(X_332),X_333)))]]) ).
cnf(refute_0_796,plain,
complement(join(join(X_332,X_333),meet(complement(X_332),X_333))) = complement(join(join(X_332,X_333),meet(complement(X_332),X_333))),
introduced(tautology,[refl,[$fot(complement(join(join(X_332,X_333),meet(complement(X_332),X_333))))]]) ).
cnf(refute_0_797,plain,
( complement(join(join(X_332,X_333),meet(complement(X_332),X_333))) != complement(join(join(X_332,X_333),meet(complement(X_332),X_333)))
| join(join(X_332,X_333),meet(complement(X_332),X_333)) != join(X_332,join(X_333,meet(complement(X_332),X_333)))
| complement(join(join(X_332,X_333),meet(complement(X_332),X_333))) = complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(X_332,X_333),meet(complement(X_332),X_333))),complement(join(join(X_332,X_333),meet(complement(X_332),X_333)))) ),[1,0],$fot(join(X_332,join(X_333,meet(complement(X_332),X_333))))]]) ).
cnf(refute_0_798,plain,
( join(join(X_332,X_333),meet(complement(X_332),X_333)) != join(X_332,join(X_333,meet(complement(X_332),X_333)))
| complement(join(join(X_332,X_333),meet(complement(X_332),X_333))) = complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))) ),
inference(resolve,[$cnf( $equal(complement(join(join(X_332,X_333),meet(complement(X_332),X_333))),complement(join(join(X_332,X_333),meet(complement(X_332),X_333)))) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
complement(join(join(X_332,X_333),meet(complement(X_332),X_333))) = complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))),
inference(resolve,[$cnf( $equal(join(join(X_332,X_333),meet(complement(X_332),X_333)),join(X_332,join(X_333,meet(complement(X_332),X_333)))) )],[refute_0_795,refute_0_798]) ).
cnf(refute_0_800,plain,
converse(X0) = meet(converse(X0),join(converse(X0),converse(X1))),
inference(subst,[],[refute_0_644:[bind(X_36,$fot(converse(X1))),bind(X_96,$fot(converse(X0)))]]) ).
cnf(refute_0_801,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_802,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_131,refute_0_801]) ).
cnf(refute_0_803,plain,
( converse(X0) != meet(converse(X0),join(converse(X0),converse(X1)))
| join(converse(X0),converse(X1)) != converse(join(X0,X1))
| converse(X0) = meet(converse(X0),converse(join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(X0),meet(converse(X0),join(converse(X0),converse(X1)))) ),[1,1],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_804,plain,
( converse(X0) != meet(converse(X0),join(converse(X0),converse(X1)))
| converse(X0) = meet(converse(X0),converse(join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),converse(join(X0,X1))) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
converse(X0) = meet(converse(X0),converse(join(X0,X1))),
inference(resolve,[$cnf( $equal(converse(X0),meet(converse(X0),join(converse(X0),converse(X1)))) )],[refute_0_800,refute_0_804]) ).
cnf(refute_0_806,plain,
converse(complement(converse(X_230))) = meet(converse(complement(converse(X_230))),converse(join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230)))))),
inference(subst,[],[refute_0_805:[bind(X0,$fot(complement(converse(X_230)))),bind(X1,$fot(meet(converse(X_230),converse(complement(X_230)))))]]) ).
cnf(refute_0_807,plain,
converse(complement(X0)) = join(meet(converse(complement(X0)),converse(X0)),meet(complement(converse(X0)),converse(complement(X0)))),
inference(subst,[],[refute_0_373:[bind(X_96,$fot(converse(complement(X0)))),bind(X_97,$fot(converse(X0)))]]) ).
cnf(refute_0_808,plain,
X_96 = join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(join(complement(X_96),converse(complement(converse(complement(X_96))))))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(X_96)),bind(X1,$fot(converse(complement(converse(complement(X_96))))))]]) ).
cnf(refute_0_809,plain,
converse(join(converse(X0),X_26)) = join(converse(converse(X0)),converse(X_26)),
inference(subst,[],[refute_0_131:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_26))]]) ).
cnf(refute_0_810,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_26)) != join(converse(converse(X0)),converse(X_26))
| converse(join(converse(X0),X_26)) = join(X0,converse(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_26)),join(converse(converse(X0)),converse(X_26))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_811,plain,
( converse(join(converse(X0),X_26)) != join(converse(converse(X0)),converse(X_26))
| converse(join(converse(X0),X_26)) = join(X0,converse(X_26)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_95,refute_0_810]) ).
cnf(refute_0_812,plain,
converse(join(converse(X0),X_26)) = join(X0,converse(X_26)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_26)),join(converse(converse(X0)),converse(X_26))) )],[refute_0_809,refute_0_811]) ).
cnf(refute_0_813,plain,
converse(join(converse(X_28),complement(converse(X_28)))) = join(X_28,converse(complement(converse(X_28)))),
inference(subst,[],[refute_0_812:[bind(X0,$fot(X_28)),bind(X_26,$fot(complement(converse(X_28))))]]) ).
cnf(refute_0_814,plain,
top = join(converse(X_28),complement(converse(X_28))),
inference(subst,[],[refute_0_56:[bind(X0,$fot(converse(X_28)))]]) ).
cnf(refute_0_815,plain,
( top != join(converse(X_28),complement(converse(X_28)))
| join(converse(X_28),complement(converse(X_28))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_28),complement(converse(X_28)))))]]) ).
cnf(refute_0_816,plain,
join(converse(X_28),complement(converse(X_28))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_28),complement(converse(X_28)))) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
( converse(join(converse(X_28),complement(converse(X_28)))) != join(X_28,converse(complement(converse(X_28))))
| join(converse(X_28),complement(converse(X_28))) != top
| converse(top) = join(X_28,converse(complement(converse(X_28)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_28),complement(converse(X_28)))),join(X_28,converse(complement(converse(X_28))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_818,plain,
( converse(join(converse(X_28),complement(converse(X_28)))) != join(X_28,converse(complement(converse(X_28))))
| converse(top) = join(X_28,converse(complement(converse(X_28)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_28),complement(converse(X_28))),top) )],[refute_0_816,refute_0_817]) ).
cnf(refute_0_819,plain,
converse(top) = join(X_28,converse(complement(converse(X_28)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_28),complement(converse(X_28)))),join(X_28,converse(complement(converse(X_28))))) )],[refute_0_813,refute_0_818]) ).
cnf(refute_0_820,plain,
join(converse(X_26),converse(X_25)) = join(converse(X_25),converse(X_26)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(converse(X_26))),bind(X1,$fot(converse(X_25)))]]) ).
cnf(refute_0_821,plain,
converse(join(X_25,X_26)) = join(converse(X_25),converse(X_26)),
inference(subst,[],[refute_0_131:[bind(X0,$fot(X_25)),bind(X1,$fot(X_26))]]) ).
cnf(refute_0_822,plain,
( converse(join(X_25,X_26)) != join(converse(X_25),converse(X_26))
| join(converse(X_25),converse(X_26)) = converse(join(X_25,X_26)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X_25,X_26)))),bind(Y,$fot(join(converse(X_25),converse(X_26))))]]) ).
cnf(refute_0_823,plain,
join(converse(X_25),converse(X_26)) = converse(join(X_25,X_26)),
inference(resolve,[$cnf( $equal(converse(join(X_25,X_26)),join(converse(X_25),converse(X_26))) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
( join(converse(X_25),converse(X_26)) != converse(join(X_25,X_26))
| join(converse(X_26),converse(X_25)) != join(converse(X_25),converse(X_26))
| join(converse(X_26),converse(X_25)) = converse(join(X_25,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_26),converse(X_25)),join(converse(X_25),converse(X_26))) ),[1],$fot(converse(join(X_25,X_26)))]]) ).
cnf(refute_0_825,plain,
( join(converse(X_26),converse(X_25)) != join(converse(X_25),converse(X_26))
| join(converse(X_26),converse(X_25)) = converse(join(X_25,X_26)) ),
inference(resolve,[$cnf( $equal(join(converse(X_25),converse(X_26)),converse(join(X_25,X_26))) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
join(converse(X_26),converse(X_25)) = converse(join(X_25,X_26)),
inference(resolve,[$cnf( $equal(join(converse(X_26),converse(X_25)),join(converse(X_25),converse(X_26))) )],[refute_0_820,refute_0_825]) ).
cnf(refute_0_827,plain,
join(converse(X_26),converse(X_25)) = converse(join(X_26,X_25)),
inference(subst,[],[refute_0_802:[bind(X0,$fot(X_26)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_828,plain,
( join(converse(X_26),converse(X_25)) != converse(join(X_25,X_26))
| join(converse(X_26),converse(X_25)) != converse(join(X_26,X_25))
| converse(join(X_26,X_25)) = converse(join(X_25,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_26),converse(X_25)),converse(join(X_25,X_26))) ),[0],$fot(converse(join(X_26,X_25)))]]) ).
cnf(refute_0_829,plain,
( join(converse(X_26),converse(X_25)) != converse(join(X_25,X_26))
| converse(join(X_26,X_25)) = converse(join(X_25,X_26)) ),
inference(resolve,[$cnf( $equal(join(converse(X_26),converse(X_25)),converse(join(X_26,X_25))) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
converse(join(X_26,X_25)) = converse(join(X_25,X_26)),
inference(resolve,[$cnf( $equal(join(converse(X_26),converse(X_25)),converse(join(X_25,X_26))) )],[refute_0_826,refute_0_829]) ).
cnf(refute_0_831,plain,
converse(join(complement(converse(zero)),converse(top))) = converse(join(converse(top),complement(converse(zero)))),
inference(subst,[],[refute_0_830:[bind(X_25,$fot(converse(top))),bind(X_26,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_832,plain,
converse(join(top,converse(complement(converse(zero))))) = join(converse(top),converse(converse(complement(converse(zero))))),
inference(subst,[],[refute_0_131:[bind(X0,$fot(top)),bind(X1,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_833,plain,
join(top,join(zero,X_36)) = join(join(top,zero),X_36),
inference(subst,[],[refute_0_0:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(X_36))]]) ).
cnf(refute_0_834,plain,
top = join(top,complement(top)),
inference(subst,[],[refute_0_56:[bind(X0,$fot(top))]]) ).
cnf(refute_0_835,plain,
( complement(top) != zero
| top != join(top,complement(top))
| top = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_836,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_835]) ).
cnf(refute_0_837,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_834,refute_0_836]) ).
cnf(refute_0_838,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_839,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
( join(top,join(zero,X_36)) != join(join(top,zero),X_36)
| join(top,zero) != top
| join(top,join(zero,X_36)) = join(top,X_36) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_36)),join(join(top,zero),X_36)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_841,plain,
( join(top,join(zero,X_36)) != join(join(top,zero),X_36)
| join(top,join(zero,X_36)) = join(top,X_36) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
join(top,join(zero,X_36)) = join(top,X_36),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_36)),join(join(top,zero),X_36)) )],[refute_0_833,refute_0_841]) ).
cnf(refute_0_843,plain,
join(top,join(zero,converse(complement(converse(zero))))) = join(top,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_842:[bind(X_36,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_844,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_819:[bind(X_28,$fot(zero))]]) ).
cnf(refute_0_845,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_846,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
( join(top,join(zero,converse(complement(converse(zero))))) != join(top,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) != converse(top)
| join(top,converse(top)) = join(top,converse(complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,converse(complement(converse(zero))))),join(top,converse(complement(converse(zero))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_848,plain,
( join(top,join(zero,converse(complement(converse(zero))))) != join(top,converse(complement(converse(zero))))
| join(top,converse(top)) = join(top,converse(complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
join(top,converse(top)) = join(top,converse(complement(converse(zero)))),
inference(resolve,[$cnf( $equal(join(top,join(zero,converse(complement(converse(zero))))),join(top,converse(complement(converse(zero))))) )],[refute_0_843,refute_0_848]) ).
cnf(refute_0_850,plain,
( join(top,converse(top)) != join(top,converse(complement(converse(zero))))
| join(top,converse(complement(converse(zero)))) = join(top,converse(top)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(top,converse(top)))),bind(Y,$fot(join(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_851,plain,
join(top,converse(complement(converse(zero)))) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(join(top,converse(top)),join(top,converse(complement(converse(zero))))) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
( converse(join(top,converse(complement(converse(zero))))) != join(converse(top),converse(converse(complement(converse(zero)))))
| join(top,converse(complement(converse(zero)))) != join(top,converse(top))
| converse(join(top,converse(top))) = join(converse(top),converse(converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(top,converse(complement(converse(zero))))),join(converse(top),converse(converse(complement(converse(zero)))))) ),[0,0],$fot(join(top,converse(top)))]]) ).
cnf(refute_0_853,plain,
( converse(join(top,converse(complement(converse(zero))))) != join(converse(top),converse(converse(complement(converse(zero)))))
| converse(join(top,converse(top))) = join(converse(top),converse(converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(zero)))),join(top,converse(top))) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
converse(join(top,converse(top))) = join(converse(top),converse(converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(converse(join(top,converse(complement(converse(zero))))),join(converse(top),converse(converse(complement(converse(zero)))))) )],[refute_0_832,refute_0_853]) ).
cnf(refute_0_855,plain,
join(converse(top),top) = join(top,converse(top)),
inference(subst,[],[refute_0_589:[bind(X_34,$fot(converse(top)))]]) ).
cnf(refute_0_856,plain,
converse(join(X_25,converse(X0))) = join(converse(X_25),converse(converse(X0))),
inference(subst,[],[refute_0_131:[bind(X0,$fot(X_25)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_857,plain,
( converse(converse(X0)) != X0
| converse(join(X_25,converse(X0))) != join(converse(X_25),converse(converse(X0)))
| converse(join(X_25,converse(X0))) = join(converse(X_25),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_25,converse(X0))),join(converse(X_25),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_858,plain,
( converse(join(X_25,converse(X0))) != join(converse(X_25),converse(converse(X0)))
| converse(join(X_25,converse(X0))) = join(converse(X_25),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_95,refute_0_857]) ).
cnf(refute_0_859,plain,
converse(join(X_25,converse(X0))) = join(converse(X_25),X0),
inference(resolve,[$cnf( $equal(converse(join(X_25,converse(X0))),join(converse(X_25),converse(converse(X0)))) )],[refute_0_856,refute_0_858]) ).
cnf(refute_0_860,plain,
converse(join(top,converse(top))) = join(converse(top),top),
inference(subst,[],[refute_0_859:[bind(X0,$fot(top)),bind(X_25,$fot(top))]]) ).
cnf(refute_0_861,plain,
( converse(join(top,converse(top))) != join(converse(top),top)
| join(converse(top),top) != join(top,converse(top))
| converse(join(top,converse(top))) = join(top,converse(top)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(top,converse(top))))),bind(Y,$fot(join(converse(top),top))),bind(Z,$fot(join(top,converse(top))))]]) ).
cnf(refute_0_862,plain,
( join(converse(top),top) != join(top,converse(top))
| converse(join(top,converse(top))) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),join(converse(top),top)) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
converse(join(top,converse(top))) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(join(converse(top),top),join(top,converse(top))) )],[refute_0_855,refute_0_862]) ).
cnf(refute_0_864,plain,
( converse(join(top,converse(top))) != join(converse(top),converse(converse(complement(converse(zero)))))
| converse(join(top,converse(top))) != join(top,converse(top))
| join(top,converse(top)) = join(converse(top),converse(converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(top,converse(top))),join(converse(top),converse(converse(complement(converse(zero)))))) ),[0],$fot(join(top,converse(top)))]]) ).
cnf(refute_0_865,plain,
( converse(join(top,converse(top))) != join(converse(top),converse(converse(complement(converse(zero)))))
| join(top,converse(top)) = join(converse(top),converse(converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),join(top,converse(top))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
converse(join(top,converse(complement(converse(zero))))) = join(converse(top),complement(converse(zero))),
inference(subst,[],[refute_0_859:[bind(X0,$fot(complement(converse(zero)))),bind(X_25,$fot(top))]]) ).
cnf(refute_0_867,plain,
join(converse(top),converse(converse(complement(converse(zero))))) = converse(join(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_0_802:[bind(X0,$fot(top)),bind(X1,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_868,plain,
( converse(join(top,converse(complement(converse(zero))))) != join(converse(top),complement(converse(zero)))
| join(converse(top),converse(converse(complement(converse(zero))))) != converse(join(top,converse(complement(converse(zero)))))
| join(converse(top),converse(converse(complement(converse(zero))))) = join(converse(top),complement(converse(zero))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(converse(top),converse(converse(complement(converse(zero))))))),bind(Y,$fot(converse(join(top,converse(complement(converse(zero))))))),bind(Z,$fot(join(converse(top),complement(converse(zero)))))]]) ).
cnf(refute_0_869,plain,
( converse(join(top,converse(complement(converse(zero))))) != join(converse(top),complement(converse(zero)))
| join(converse(top),converse(converse(complement(converse(zero))))) = join(converse(top),complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(converse(top),converse(converse(complement(converse(zero))))),converse(join(top,converse(complement(converse(zero)))))) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
join(converse(top),converse(converse(complement(converse(zero))))) = join(converse(top),complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(join(top,converse(complement(converse(zero))))),join(converse(top),complement(converse(zero)))) )],[refute_0_866,refute_0_869]) ).
cnf(refute_0_871,plain,
( join(converse(top),converse(converse(complement(converse(zero))))) != join(converse(top),complement(converse(zero)))
| join(top,converse(top)) != join(converse(top),converse(converse(complement(converse(zero)))))
| join(top,converse(top)) = join(converse(top),complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(top)),join(converse(top),converse(converse(complement(converse(zero)))))) ),[1],$fot(join(converse(top),complement(converse(zero))))]]) ).
cnf(refute_0_872,plain,
( join(top,converse(top)) != join(converse(top),converse(converse(complement(converse(zero)))))
| join(top,converse(top)) = join(converse(top),complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(converse(top),converse(converse(complement(converse(zero))))),join(converse(top),complement(converse(zero)))) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
( converse(join(top,converse(top))) != join(converse(top),converse(converse(complement(converse(zero)))))
| join(top,converse(top)) = join(converse(top),complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(top,converse(top)),join(converse(top),converse(converse(complement(converse(zero)))))) )],[refute_0_865,refute_0_872]) ).
cnf(refute_0_874,plain,
join(top,converse(top)) = join(converse(top),complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),join(converse(top),converse(converse(complement(converse(zero)))))) )],[refute_0_854,refute_0_873]) ).
cnf(refute_0_875,plain,
join(top,converse(top)) = top,
inference(subst,[],[refute_0_595:[bind(X_34,$fot(converse(top)))]]) ).
cnf(refute_0_876,plain,
( join(top,converse(top)) != join(converse(top),complement(converse(zero)))
| join(top,converse(top)) != top
| top = join(converse(top),complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(top)),join(converse(top),complement(converse(zero)))) ),[0],$fot(top)]]) ).
cnf(refute_0_877,plain,
( join(top,converse(top)) != join(converse(top),complement(converse(zero)))
| top = join(converse(top),complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(top,converse(top)),top) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
top = join(converse(top),complement(converse(zero))),
inference(resolve,[$cnf( $equal(join(top,converse(top)),join(converse(top),complement(converse(zero)))) )],[refute_0_874,refute_0_877]) ).
cnf(refute_0_879,plain,
( top != join(converse(top),complement(converse(zero)))
| join(converse(top),complement(converse(zero))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(converse(top),complement(converse(zero)))))]]) ).
cnf(refute_0_880,plain,
join(converse(top),complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(top),complement(converse(zero)))) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
( converse(join(complement(converse(zero)),converse(top))) != converse(join(converse(top),complement(converse(zero))))
| join(converse(top),complement(converse(zero))) != top
| converse(join(complement(converse(zero)),converse(top))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(zero)),converse(top))),converse(join(converse(top),complement(converse(zero))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_882,plain,
( converse(join(complement(converse(zero)),converse(top))) != converse(join(converse(top),complement(converse(zero))))
| converse(join(complement(converse(zero)),converse(top))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),top) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
converse(join(complement(converse(zero)),converse(top))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(zero)),converse(top))),converse(join(converse(top),complement(converse(zero))))) )],[refute_0_831,refute_0_882]) ).
cnf(refute_0_884,plain,
join(converse(complement(converse(zero))),top) = top,
inference(subst,[],[refute_0_262:[bind(X_41,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_885,plain,
converse(join(complement(converse(zero)),converse(top))) = join(converse(complement(converse(zero))),top),
inference(subst,[],[refute_0_859:[bind(X0,$fot(top)),bind(X_25,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_886,plain,
( converse(join(complement(converse(zero)),converse(top))) != join(converse(complement(converse(zero))),top)
| join(converse(complement(converse(zero))),top) != top
| converse(join(complement(converse(zero)),converse(top))) = top ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(complement(converse(zero)),converse(top))))),bind(Y,$fot(join(converse(complement(converse(zero))),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_887,plain,
( join(converse(complement(converse(zero))),top) != top
| converse(join(complement(converse(zero)),converse(top))) = top ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(zero)),converse(top))),join(converse(complement(converse(zero))),top)) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
converse(join(complement(converse(zero)),converse(top))) = top,
inference(resolve,[$cnf( $equal(join(converse(complement(converse(zero))),top),top) )],[refute_0_884,refute_0_887]) ).
cnf(refute_0_889,plain,
( converse(join(complement(converse(zero)),converse(top))) != converse(top)
| converse(join(complement(converse(zero)),converse(top))) != top
| top = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(zero)),converse(top))),converse(top)) ),[0],$fot(top)]]) ).
cnf(refute_0_890,plain,
( converse(join(complement(converse(zero)),converse(top))) != converse(top)
| top = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(zero)),converse(top))),top) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
top = converse(top),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(zero)),converse(top))),converse(top)) )],[refute_0_883,refute_0_890]) ).
cnf(refute_0_892,plain,
( top != converse(top)
| converse(top) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(converse(top)))]]) ).
cnf(refute_0_893,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(top,converse(top)) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
( converse(top) != join(X_28,converse(complement(converse(X_28))))
| converse(top) != top
| top = join(X_28,converse(complement(converse(X_28)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_28,converse(complement(converse(X_28))))) ),[0],$fot(top)]]) ).
cnf(refute_0_895,plain,
( converse(top) != join(X_28,converse(complement(converse(X_28))))
| top = join(X_28,converse(complement(converse(X_28)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
top = join(X_28,converse(complement(converse(X_28)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_28,converse(complement(converse(X_28))))) )],[refute_0_819,refute_0_895]) ).
cnf(refute_0_897,plain,
top = join(complement(X_96),converse(complement(converse(complement(X_96))))),
inference(subst,[],[refute_0_896:[bind(X_28,$fot(complement(X_96)))]]) ).
cnf(refute_0_898,plain,
( top != join(complement(X_96),converse(complement(converse(complement(X_96)))))
| join(complement(X_96),converse(complement(converse(complement(X_96))))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_96),converse(complement(converse(complement(X_96)))))))]]) ).
cnf(refute_0_899,plain,
join(complement(X_96),converse(complement(converse(complement(X_96))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_96),converse(complement(converse(complement(X_96)))))) )],[refute_0_897,refute_0_898]) ).
cnf(refute_0_900,plain,
( X_96 != join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(join(complement(X_96),converse(complement(converse(complement(X_96)))))))
| join(complement(X_96),converse(complement(converse(complement(X_96))))) != top
| X_96 = join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_96,join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(join(complement(X_96),converse(complement(converse(complement(X_96)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_901,plain,
( X_96 != join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(join(complement(X_96),converse(complement(converse(complement(X_96)))))))
| X_96 = join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_96),converse(complement(converse(complement(X_96))))),top) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
X_96 = join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(join(complement(X_96),converse(complement(converse(complement(X_96)))))))) )],[refute_0_808,refute_0_901]) ).
cnf(refute_0_903,plain,
join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))) = join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))))]]) ).
cnf(refute_0_904,plain,
( complement(top) != zero
| join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))) != join(complement(top),meet(X_96,converse(complement(converse(complement(X_96))))))
| join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))) = join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))),join(complement(top),meet(X_96,converse(complement(converse(complement(X_96))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_905,plain,
( complement(top) != zero
| join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))) = join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))),join(complement(top),meet(X_96,converse(complement(converse(complement(X_96))))))) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))) = join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_905]) ).
cnf(refute_0_907,plain,
join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)) = join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_96,converse(complement(converse(complement(X_96)))))))]]) ).
cnf(refute_0_908,plain,
( join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))) != join(zero,meet(X_96,converse(complement(converse(complement(X_96))))))
| join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)) != join(complement(top),meet(X_96,converse(complement(converse(complement(X_96))))))
| join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)) = join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))))),bind(Z,$fot(join(zero,meet(X_96,converse(complement(converse(complement(X_96))))))))]]) ).
cnf(refute_0_909,plain,
( join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))) != join(zero,meet(X_96,converse(complement(converse(complement(X_96))))))
| join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)) = join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)),join(complement(top),meet(X_96,converse(complement(converse(complement(X_96))))))) )],[refute_0_907,refute_0_908]) ).
cnf(refute_0_910,plain,
join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)) = join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_96,converse(complement(converse(complement(X_96)))))),join(zero,meet(X_96,converse(complement(converse(complement(X_96))))))) )],[refute_0_906,refute_0_909]) ).
cnf(refute_0_911,plain,
( X_96 != join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top))
| join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)) != join(zero,meet(X_96,converse(complement(converse(complement(X_96))))))
| X_96 = join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,join(zero,meet(X_96,converse(complement(converse(complement(X_96))))))) ),[0],$fot(join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)))]]) ).
cnf(refute_0_912,plain,
( X_96 != join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top))
| X_96 = join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top)),join(zero,meet(X_96,converse(complement(converse(complement(X_96))))))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
X_96 = join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,converse(complement(converse(complement(X_96))))),complement(top))) )],[refute_0_902,refute_0_912]) ).
cnf(refute_0_914,plain,
join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))) = meet(X_96,converse(complement(converse(complement(X_96))))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(meet(X_96,converse(complement(converse(complement(X_96)))))))]]) ).
cnf(refute_0_915,plain,
( X_96 != join(zero,meet(X_96,converse(complement(converse(complement(X_96))))))
| join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))) != meet(X_96,converse(complement(converse(complement(X_96)))))
| X_96 = meet(X_96,converse(complement(converse(complement(X_96))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,meet(X_96,converse(complement(converse(complement(X_96)))))) ),[0],$fot(join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))))]]) ).
cnf(refute_0_916,plain,
( X_96 != join(zero,meet(X_96,converse(complement(converse(complement(X_96))))))
| X_96 = meet(X_96,converse(complement(converse(complement(X_96))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_96,converse(complement(converse(complement(X_96)))))),meet(X_96,converse(complement(converse(complement(X_96)))))) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
X_96 = meet(X_96,converse(complement(converse(complement(X_96))))),
inference(resolve,[$cnf( $equal(X_96,join(zero,meet(X_96,converse(complement(converse(complement(X_96))))))) )],[refute_0_913,refute_0_916]) ).
cnf(refute_0_918,plain,
complement(X_109) = meet(complement(X_109),converse(complement(converse(complement(complement(X_109)))))),
inference(subst,[],[refute_0_917:[bind(X_96,$fot(complement(X_109)))]]) ).
cnf(refute_0_919,plain,
X_109 = complement(complement(X_109)),
inference(subst,[],[refute_0_626:[bind(X1,$fot(X_109))]]) ).
cnf(refute_0_920,plain,
( X_109 != complement(complement(X_109))
| complement(complement(X_109)) = X_109 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_109)),bind(Y,$fot(complement(complement(X_109))))]]) ).
cnf(refute_0_921,plain,
complement(complement(X_109)) = X_109,
inference(resolve,[$cnf( $equal(X_109,complement(complement(X_109))) )],[refute_0_919,refute_0_920]) ).
cnf(refute_0_922,plain,
( complement(X_109) != meet(complement(X_109),converse(complement(converse(complement(complement(X_109))))))
| complement(complement(X_109)) != X_109
| complement(X_109) = meet(complement(X_109),converse(complement(converse(X_109)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_109),meet(complement(X_109),converse(complement(converse(complement(complement(X_109))))))) ),[1,1,0,0,0],$fot(X_109)]]) ).
cnf(refute_0_923,plain,
( complement(X_109) != meet(complement(X_109),converse(complement(converse(complement(complement(X_109))))))
| complement(X_109) = meet(complement(X_109),converse(complement(converse(X_109)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_109)),X_109) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
complement(X_109) = meet(complement(X_109),converse(complement(converse(X_109)))),
inference(resolve,[$cnf( $equal(complement(X_109),meet(complement(X_109),converse(complement(converse(complement(complement(X_109))))))) )],[refute_0_918,refute_0_923]) ).
cnf(refute_0_925,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(converse(converse(X0))))),
inference(subst,[],[refute_0_924:[bind(X_109,$fot(converse(X0)))]]) ).
cnf(refute_0_926,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))
| converse(converse(X0)) != X0
| complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))) ),[1,1,0,0],$fot(X0)]]) ).
cnf(refute_0_927,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))
| complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_95,refute_0_926]) ).
cnf(refute_0_928,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))),
inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))) )],[refute_0_925,refute_0_927]) ).
cnf(refute_0_929,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(X0)))
| meet(complement(converse(X0)),converse(complement(X0))) = complement(converse(X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(converse(X0)))),bind(Y,$fot(meet(complement(converse(X0)),converse(complement(X0)))))]]) ).
cnf(refute_0_930,plain,
meet(complement(converse(X0)),converse(complement(X0))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(X0)))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
( converse(complement(X0)) != join(meet(converse(complement(X0)),converse(X0)),meet(complement(converse(X0)),converse(complement(X0))))
| meet(complement(converse(X0)),converse(complement(X0))) != complement(converse(X0))
| converse(complement(X0)) = join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X0)),join(meet(converse(complement(X0)),converse(X0)),meet(complement(converse(X0)),converse(complement(X0))))) ),[1,1],$fot(complement(converse(X0)))]]) ).
cnf(refute_0_932,plain,
( converse(complement(X0)) != join(meet(converse(complement(X0)),converse(X0)),meet(complement(converse(X0)),converse(complement(X0))))
| converse(complement(X0)) = join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(X0)),converse(complement(X0))),complement(converse(X0))) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
converse(complement(X0)) = join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))),
inference(resolve,[$cnf( $equal(converse(complement(X0)),join(meet(converse(complement(X0)),converse(X0)),meet(complement(converse(X0)),converse(complement(X0))))) )],[refute_0_807,refute_0_932]) ).
cnf(refute_0_934,plain,
( meet(X_7,X_8) != meet(X_8,X_7)
| meet(X_8,X_7) = meet(X_7,X_8) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_7,X_8))),bind(Y,$fot(meet(X_8,X_7)))]]) ).
cnf(refute_0_935,plain,
meet(X_8,X_7) = meet(X_7,X_8),
inference(resolve,[$cnf( $equal(meet(X_7,X_8),meet(X_8,X_7)) )],[refute_0_40,refute_0_934]) ).
cnf(refute_0_936,plain,
meet(converse(complement(X0)),converse(X0)) = meet(converse(X0),converse(complement(X0))),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(converse(X0))),bind(X_8,$fot(converse(complement(X0))))]]) ).
cnf(refute_0_937,plain,
join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))) = join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))),
introduced(tautology,[refl,[$fot(join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))))]]) ).
cnf(refute_0_938,plain,
( join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))) != join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0)))
| meet(converse(complement(X0)),converse(X0)) != meet(converse(X0),converse(complement(X0)))
| join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))),join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0)))) ),[1,1],$fot(meet(converse(X0),converse(complement(X0))))]]) ).
cnf(refute_0_939,plain,
( meet(converse(complement(X0)),converse(X0)) != meet(converse(X0),converse(complement(X0)))
| join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))),join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0)))) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(X0)),converse(X0)),meet(converse(X0),converse(complement(X0)))) )],[refute_0_936,refute_0_939]) ).
cnf(refute_0_941,plain,
join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))) = join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(converse(X0)))),bind(X1,$fot(meet(converse(complement(X0)),converse(X0))))]]) ).
cnf(refute_0_942,plain,
( join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))) != join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))
| join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))) != join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0)))
| join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))))),bind(Y,$fot(join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))))),bind(Z,$fot(join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))))]]) ).
cnf(refute_0_943,plain,
( join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))) != join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))
| join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))),join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0)))) )],[refute_0_941,refute_0_942]) ).
cnf(refute_0_944,plain,
join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),meet(converse(complement(X0)),converse(X0))),join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))) )],[refute_0_940,refute_0_943]) ).
cnf(refute_0_945,plain,
( converse(complement(X0)) != join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0)))
| join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))) != join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))
| converse(complement(X0)) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X0)),join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))) ),[0],$fot(join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))))]]) ).
cnf(refute_0_946,plain,
( converse(complement(X0)) != join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0)))
| converse(complement(X0)) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0))),join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))) )],[refute_0_944,refute_0_945]) ).
cnf(refute_0_947,plain,
converse(complement(X0)) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),
inference(resolve,[$cnf( $equal(converse(complement(X0)),join(meet(converse(complement(X0)),converse(X0)),complement(converse(X0)))) )],[refute_0_933,refute_0_946]) ).
cnf(refute_0_948,plain,
converse(complement(X_230)) = join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230)))),
inference(subst,[],[refute_0_947:[bind(X0,$fot(X_230))]]) ).
cnf(refute_0_949,plain,
( converse(complement(X_230)) != join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230))))
| join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230)))) = converse(complement(X_230)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(complement(X_230)))),bind(Y,$fot(join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230))))))]]) ).
cnf(refute_0_950,plain,
join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230)))) = converse(complement(X_230)),
inference(resolve,[$cnf( $equal(converse(complement(X_230)),join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230))))) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
( converse(complement(converse(X_230))) != meet(converse(complement(converse(X_230))),converse(join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230))))))
| join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230)))) != converse(complement(X_230))
| converse(complement(converse(X_230))) = meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(X_230))),meet(converse(complement(converse(X_230))),converse(join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230))))))) ),[1,1,0],$fot(converse(complement(X_230)))]]) ).
cnf(refute_0_952,plain,
( converse(complement(converse(X_230))) != meet(converse(complement(converse(X_230))),converse(join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230))))))
| converse(complement(converse(X_230))) = meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230)))),converse(complement(X_230))) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
converse(complement(converse(X_230))) = meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_230))),meet(converse(complement(converse(X_230))),converse(join(complement(converse(X_230)),meet(converse(X_230),converse(complement(X_230))))))) )],[refute_0_806,refute_0_952]) ).
cnf(refute_0_954,plain,
( complement(X_109) != meet(complement(X_109),converse(complement(converse(X_109))))
| meet(complement(X_109),converse(complement(converse(X_109)))) = complement(X_109) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X_109))),bind(Y,$fot(meet(complement(X_109),converse(complement(converse(X_109))))))]]) ).
cnf(refute_0_955,plain,
meet(complement(X_109),converse(complement(converse(X_109)))) = complement(X_109),
inference(resolve,[$cnf( $equal(complement(X_109),meet(complement(X_109),converse(complement(converse(X_109))))) )],[refute_0_924,refute_0_954]) ).
cnf(refute_0_956,plain,
meet(complement(X_230),converse(complement(converse(X_230)))) = complement(X_230),
inference(subst,[],[refute_0_955:[bind(X_109,$fot(X_230))]]) ).
cnf(refute_0_957,plain,
meet(converse(complement(converse(X_230))),complement(X_230)) = meet(complement(X_230),converse(complement(converse(X_230)))),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(complement(X_230))),bind(X_8,$fot(converse(complement(converse(X_230)))))]]) ).
cnf(refute_0_958,plain,
( meet(complement(X_230),converse(complement(converse(X_230)))) != complement(X_230)
| meet(converse(complement(converse(X_230))),complement(X_230)) != meet(complement(X_230),converse(complement(converse(X_230))))
| meet(converse(complement(converse(X_230))),complement(X_230)) = complement(X_230) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(converse(complement(converse(X_230))),complement(X_230)))),bind(Y,$fot(meet(complement(X_230),converse(complement(converse(X_230)))))),bind(Z,$fot(complement(X_230)))]]) ).
cnf(refute_0_959,plain,
( meet(complement(X_230),converse(complement(converse(X_230)))) != complement(X_230)
| meet(converse(complement(converse(X_230))),complement(X_230)) = complement(X_230) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(X_230))),complement(X_230)),meet(complement(X_230),converse(complement(converse(X_230))))) )],[refute_0_957,refute_0_958]) ).
cnf(refute_0_960,plain,
meet(converse(complement(converse(X_230))),complement(X_230)) = complement(X_230),
inference(resolve,[$cnf( $equal(meet(complement(X_230),converse(complement(converse(X_230)))),complement(X_230)) )],[refute_0_956,refute_0_959]) ).
cnf(refute_0_961,plain,
converse(converse(complement(X_230))) = complement(X_230),
inference(subst,[],[refute_0_95:[bind(X0,$fot(complement(X_230)))]]) ).
cnf(refute_0_962,plain,
meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))) = meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))))]]) ).
cnf(refute_0_963,plain,
( converse(converse(complement(X_230))) != complement(X_230)
| meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))) != meet(converse(complement(converse(X_230))),converse(converse(complement(X_230))))
| meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))) = meet(converse(complement(converse(X_230))),complement(X_230)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))),meet(converse(complement(converse(X_230))),converse(converse(complement(X_230))))) ),[1,1],$fot(complement(X_230))]]) ).
cnf(refute_0_964,plain,
( converse(converse(complement(X_230))) != complement(X_230)
| meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))) = meet(converse(complement(converse(X_230))),complement(X_230)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))),meet(converse(complement(converse(X_230))),converse(converse(complement(X_230))))) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))) = meet(converse(complement(converse(X_230))),complement(X_230)),
inference(resolve,[$cnf( $equal(converse(converse(complement(X_230))),complement(X_230)) )],[refute_0_961,refute_0_964]) ).
cnf(refute_0_966,plain,
( meet(converse(complement(converse(X_230))),complement(X_230)) != complement(X_230)
| meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))) != meet(converse(complement(converse(X_230))),complement(X_230))
| meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))) = complement(X_230) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))))),bind(Y,$fot(meet(converse(complement(converse(X_230))),complement(X_230)))),bind(Z,$fot(complement(X_230)))]]) ).
cnf(refute_0_967,plain,
( meet(converse(complement(converse(X_230))),complement(X_230)) != complement(X_230)
| meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))) = complement(X_230) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))),meet(converse(complement(converse(X_230))),complement(X_230))) )],[refute_0_965,refute_0_966]) ).
cnf(refute_0_968,plain,
meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))) = complement(X_230),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(X_230))),complement(X_230)),complement(X_230)) )],[refute_0_960,refute_0_967]) ).
cnf(refute_0_969,plain,
( converse(complement(converse(X_230))) != meet(converse(complement(converse(X_230))),converse(converse(complement(X_230))))
| meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))) != complement(X_230)
| converse(complement(converse(X_230))) = complement(X_230) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_230))),complement(X_230)) ),[0],$fot(meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))))]]) ).
cnf(refute_0_970,plain,
( converse(complement(converse(X_230))) != meet(converse(complement(converse(X_230))),converse(converse(complement(X_230))))
| converse(complement(converse(X_230))) = complement(X_230) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(X_230))),converse(converse(complement(X_230)))),complement(X_230)) )],[refute_0_968,refute_0_969]) ).
cnf(refute_0_971,plain,
converse(complement(converse(X_230))) = complement(X_230),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_230))),meet(converse(complement(converse(X_230))),converse(converse(complement(X_230))))) )],[refute_0_953,refute_0_970]) ).
cnf(refute_0_972,plain,
converse(complement(converse(join(X_25,X_26)))) = complement(join(X_25,X_26)),
inference(subst,[],[refute_0_971:[bind(X_230,$fot(join(X_25,X_26)))]]) ).
cnf(refute_0_973,plain,
( converse(join(X_26,X_25)) != converse(join(X_25,X_26))
| converse(join(X_25,X_26)) = converse(join(X_26,X_25)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X_26,X_25)))),bind(Y,$fot(converse(join(X_25,X_26))))]]) ).
cnf(refute_0_974,plain,
converse(join(X_25,X_26)) = converse(join(X_26,X_25)),
inference(resolve,[$cnf( $equal(converse(join(X_26,X_25)),converse(join(X_25,X_26))) )],[refute_0_830,refute_0_973]) ).
cnf(refute_0_975,plain,
( converse(complement(converse(join(X_25,X_26)))) != complement(join(X_25,X_26))
| converse(join(X_25,X_26)) != converse(join(X_26,X_25))
| converse(complement(converse(join(X_26,X_25)))) = complement(join(X_25,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(X_25,X_26)))),complement(join(X_25,X_26))) ),[0,0,0],$fot(converse(join(X_26,X_25)))]]) ).
cnf(refute_0_976,plain,
( converse(complement(converse(join(X_25,X_26)))) != complement(join(X_25,X_26))
| converse(complement(converse(join(X_26,X_25)))) = complement(join(X_25,X_26)) ),
inference(resolve,[$cnf( $equal(converse(join(X_25,X_26)),converse(join(X_26,X_25))) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
converse(complement(converse(join(X_26,X_25)))) = complement(join(X_25,X_26)),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_25,X_26)))),complement(join(X_25,X_26))) )],[refute_0_972,refute_0_976]) ).
cnf(refute_0_978,plain,
converse(converse(join(X_26,X_25))) = join(X_26,X_25),
inference(subst,[],[refute_0_95:[bind(X0,$fot(join(X_26,X_25)))]]) ).
cnf(refute_0_979,plain,
complement(converse(converse(join(X_26,X_25)))) = complement(converse(converse(join(X_26,X_25)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(X_26,X_25)))))]]) ).
cnf(refute_0_980,plain,
( complement(converse(converse(join(X_26,X_25)))) != complement(converse(converse(join(X_26,X_25))))
| converse(converse(join(X_26,X_25))) != join(X_26,X_25)
| complement(converse(converse(join(X_26,X_25)))) = complement(join(X_26,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(X_26,X_25)))),complement(converse(converse(join(X_26,X_25))))) ),[1,0],$fot(join(X_26,X_25))]]) ).
cnf(refute_0_981,plain,
( converse(converse(join(X_26,X_25))) != join(X_26,X_25)
| complement(converse(converse(join(X_26,X_25)))) = complement(join(X_26,X_25)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X_26,X_25)))),complement(converse(converse(join(X_26,X_25))))) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
complement(converse(converse(join(X_26,X_25)))) = complement(join(X_26,X_25)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_26,X_25))),join(X_26,X_25)) )],[refute_0_978,refute_0_981]) ).
cnf(refute_0_983,plain,
converse(converse(complement(converse(X_231)))) = complement(converse(X_231)),
inference(subst,[],[refute_0_95:[bind(X0,$fot(complement(converse(X_231))))]]) ).
cnf(refute_0_984,plain,
converse(complement(converse(X_231))) = complement(X_231),
inference(subst,[],[refute_0_971:[bind(X_230,$fot(X_231))]]) ).
cnf(refute_0_985,plain,
( converse(complement(converse(X_231))) != complement(X_231)
| converse(converse(complement(converse(X_231)))) != complement(converse(X_231))
| converse(complement(X_231)) = complement(converse(X_231)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(X_231)))),complement(converse(X_231))) ),[0,0],$fot(complement(X_231))]]) ).
cnf(refute_0_986,plain,
( converse(converse(complement(converse(X_231)))) != complement(converse(X_231))
| converse(complement(X_231)) = complement(converse(X_231)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_231))),complement(X_231)) )],[refute_0_984,refute_0_985]) ).
cnf(refute_0_987,plain,
converse(complement(X_231)) = complement(converse(X_231)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(X_231)))),complement(converse(X_231))) )],[refute_0_983,refute_0_986]) ).
cnf(refute_0_988,plain,
converse(complement(converse(join(X_26,X_25)))) = complement(converse(converse(join(X_26,X_25)))),
inference(subst,[],[refute_0_987:[bind(X_231,$fot(converse(join(X_26,X_25))))]]) ).
cnf(refute_0_989,plain,
( complement(converse(converse(join(X_26,X_25)))) != complement(join(X_26,X_25))
| converse(complement(converse(join(X_26,X_25)))) != complement(converse(converse(join(X_26,X_25))))
| converse(complement(converse(join(X_26,X_25)))) = complement(join(X_26,X_25)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(complement(converse(join(X_26,X_25)))))),bind(Y,$fot(complement(converse(converse(join(X_26,X_25)))))),bind(Z,$fot(complement(join(X_26,X_25))))]]) ).
cnf(refute_0_990,plain,
( complement(converse(converse(join(X_26,X_25)))) != complement(join(X_26,X_25))
| converse(complement(converse(join(X_26,X_25)))) = complement(join(X_26,X_25)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_26,X_25)))),complement(converse(converse(join(X_26,X_25))))) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
converse(complement(converse(join(X_26,X_25)))) = complement(join(X_26,X_25)),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X_26,X_25)))),complement(join(X_26,X_25))) )],[refute_0_982,refute_0_990]) ).
cnf(refute_0_992,plain,
( converse(complement(converse(join(X_26,X_25)))) != complement(join(X_25,X_26))
| converse(complement(converse(join(X_26,X_25)))) != complement(join(X_26,X_25))
| complement(join(X_26,X_25)) = complement(join(X_25,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(X_26,X_25)))),complement(join(X_25,X_26))) ),[0],$fot(complement(join(X_26,X_25)))]]) ).
cnf(refute_0_993,plain,
( converse(complement(converse(join(X_26,X_25)))) != complement(join(X_25,X_26))
| complement(join(X_26,X_25)) = complement(join(X_25,X_26)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_26,X_25)))),complement(join(X_26,X_25))) )],[refute_0_991,refute_0_992]) ).
cnf(refute_0_994,plain,
complement(join(X_26,X_25)) = complement(join(X_25,X_26)),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(X_26,X_25)))),complement(join(X_25,X_26))) )],[refute_0_977,refute_0_993]) ).
cnf(refute_0_995,plain,
( complement(join(X_26,X_25)) != complement(join(X_25,X_26))
| complement(join(X_25,X_26)) = complement(join(X_26,X_25)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(join(X_26,X_25)))),bind(Y,$fot(complement(join(X_25,X_26))))]]) ).
cnf(refute_0_996,plain,
complement(join(X_25,X_26)) = complement(join(X_26,X_25)),
inference(resolve,[$cnf( $equal(complement(join(X_26,X_25)),complement(join(X_25,X_26))) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
complement(join(meet(complement(X_332),X_333),join(X_332,X_333))) = complement(join(join(X_332,X_333),meet(complement(X_332),X_333))),
inference(subst,[],[refute_0_996:[bind(X_25,$fot(meet(complement(X_332),X_333))),bind(X_26,$fot(join(X_332,X_333)))]]) ).
cnf(refute_0_998,plain,
meet(join(X_19,complement(X1)),complement(X_295)) = complement(join(complement(join(X_19,complement(X1))),X_295)),
inference(subst,[],[refute_0_318:[bind(X0,$fot(join(X_19,complement(X1)))),bind(X_19,$fot(X_295))]]) ).
cnf(refute_0_999,plain,
( complement(join(X_19,complement(X1))) != meet(complement(X_19),X1)
| meet(join(X_19,complement(X1)),complement(X_295)) != complement(join(complement(join(X_19,complement(X1))),X_295))
| meet(join(X_19,complement(X1)),complement(X_295)) = complement(join(meet(complement(X_19),X1),X_295)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_19,complement(X1)),complement(X_295)),complement(join(complement(join(X_19,complement(X1))),X_295))) ),[1,0,0],$fot(meet(complement(X_19),X1))]]) ).
cnf(refute_0_1000,plain,
( meet(join(X_19,complement(X1)),complement(X_295)) != complement(join(complement(join(X_19,complement(X1))),X_295))
| meet(join(X_19,complement(X1)),complement(X_295)) = complement(join(meet(complement(X_19),X1),X_295)) ),
inference(resolve,[$cnf( $equal(complement(join(X_19,complement(X1))),meet(complement(X_19),X1)) )],[refute_0_365,refute_0_999]) ).
cnf(refute_0_1001,plain,
meet(join(X_19,complement(X1)),complement(X_295)) = complement(join(meet(complement(X_19),X1),X_295)),
inference(resolve,[$cnf( $equal(meet(join(X_19,complement(X1)),complement(X_295)),complement(join(complement(join(X_19,complement(X1))),X_295))) )],[refute_0_998,refute_0_1000]) ).
cnf(refute_0_1002,plain,
meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))) = complement(join(meet(complement(X_332),X_333),join(X_332,X_333))),
inference(subst,[],[refute_0_1001:[bind(X1,$fot(X_333)),bind(X_19,$fot(X_332)),bind(X_295,$fot(join(X_332,X_333)))]]) ).
cnf(refute_0_1003,plain,
( complement(join(meet(complement(X_332),X_333),join(X_332,X_333))) != complement(join(join(X_332,X_333),meet(complement(X_332),X_333)))
| meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))) != complement(join(meet(complement(X_332),X_333),join(X_332,X_333)))
| meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))) = complement(join(join(X_332,X_333),meet(complement(X_332),X_333))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))))),bind(Y,$fot(complement(join(meet(complement(X_332),X_333),join(X_332,X_333))))),bind(Z,$fot(complement(join(join(X_332,X_333),meet(complement(X_332),X_333)))))]]) ).
cnf(refute_0_1004,plain,
( complement(join(meet(complement(X_332),X_333),join(X_332,X_333))) != complement(join(join(X_332,X_333),meet(complement(X_332),X_333)))
| meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))) = complement(join(join(X_332,X_333),meet(complement(X_332),X_333))) ),
inference(resolve,[$cnf( $equal(meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))),complement(join(meet(complement(X_332),X_333),join(X_332,X_333)))) )],[refute_0_1002,refute_0_1003]) ).
cnf(refute_0_1005,plain,
meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))) = complement(join(join(X_332,X_333),meet(complement(X_332),X_333))),
inference(resolve,[$cnf( $equal(complement(join(meet(complement(X_332),X_333),join(X_332,X_333))),complement(join(join(X_332,X_333),meet(complement(X_332),X_333)))) )],[refute_0_997,refute_0_1004]) ).
cnf(refute_0_1006,plain,
( complement(join(join(X_332,X_333),meet(complement(X_332),X_333))) != complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))
| meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))) != complement(join(join(X_332,X_333),meet(complement(X_332),X_333)))
| meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))) = complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))))),bind(Y,$fot(complement(join(join(X_332,X_333),meet(complement(X_332),X_333))))),bind(Z,$fot(complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))))]]) ).
cnf(refute_0_1007,plain,
( complement(join(join(X_332,X_333),meet(complement(X_332),X_333))) != complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))
| meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))) = complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))),complement(join(join(X_332,X_333),meet(complement(X_332),X_333)))) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))) = complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))),
inference(resolve,[$cnf( $equal(complement(join(join(X_332,X_333),meet(complement(X_332),X_333))),complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) )],[refute_0_799,refute_0_1007]) ).
cnf(refute_0_1009,plain,
join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))) = join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))),
introduced(tautology,[refl,[$fot(join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))))]]) ).
cnf(refute_0_1010,plain,
( join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))) != join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))))
| meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))) != complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))
| join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))) = join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))),join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))))) ),[1,1],$fot(complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))))]]) ).
cnf(refute_0_1011,plain,
( meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))) != complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))
| join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))) = join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) ),
inference(resolve,[$cnf( $equal(join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))),join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))))) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))) = join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))),
inference(resolve,[$cnf( $equal(meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))),complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) )],[refute_0_1008,refute_0_1011]) ).
cnf(refute_0_1013,plain,
( join(X_332,complement(X_333)) != join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))))
| join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))) != join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))))
| join(X_332,complement(X_333)) = join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_332,complement(X_333)),join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))))) ),[0],$fot(join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))))]]) ).
cnf(refute_0_1014,plain,
( join(X_332,complement(X_333)) != join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))))
| join(X_332,complement(X_333)) = join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) ),
inference(resolve,[$cnf( $equal(join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333)))),join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))))) )],[refute_0_1012,refute_0_1013]) ).
cnf(refute_0_1015,plain,
join(X_332,complement(X_333)) = join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))),
inference(resolve,[$cnf( $equal(join(X_332,complement(X_333)),join(X_332,meet(join(X_332,complement(X_333)),complement(join(X_332,X_333))))) )],[refute_0_794,refute_0_1014]) ).
cnf(refute_0_1016,plain,
meet(join(X_332,join(X_42,complement(X_332))),join(X_332,complement(join(X_42,complement(X_332))))) = X_332,
inference(subst,[],[refute_0_790:[bind(X_325,$fot(X_332)),bind(X_326,$fot(join(X_42,complement(X_332))))]]) ).
cnf(refute_0_1017,plain,
join(X_41,join(complement(X_41),X_42)) = join(top,X_42),
inference(subst,[],[refute_0_221:[bind(X_34,$fot(X_41)),bind(X_36,$fot(X_42))]]) ).
cnf(refute_0_1018,plain,
join(X_42,complement(X_41)) = join(complement(X_41),X_42),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_42)),bind(X1,$fot(complement(X_41)))]]) ).
cnf(refute_0_1019,plain,
( join(X_42,complement(X_41)) != join(complement(X_41),X_42)
| join(complement(X_41),X_42) = join(X_42,complement(X_41)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_42,complement(X_41)))),bind(Y,$fot(join(complement(X_41),X_42)))]]) ).
cnf(refute_0_1020,plain,
join(complement(X_41),X_42) = join(X_42,complement(X_41)),
inference(resolve,[$cnf( $equal(join(X_42,complement(X_41)),join(complement(X_41),X_42)) )],[refute_0_1018,refute_0_1019]) ).
cnf(refute_0_1021,plain,
( join(X_41,join(complement(X_41),X_42)) != join(top,X_42)
| join(complement(X_41),X_42) != join(X_42,complement(X_41))
| join(X_41,join(X_42,complement(X_41))) = join(top,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_41,join(complement(X_41),X_42)),join(top,X_42)) ),[0,1],$fot(join(X_42,complement(X_41)))]]) ).
cnf(refute_0_1022,plain,
( join(X_41,join(complement(X_41),X_42)) != join(top,X_42)
| join(X_41,join(X_42,complement(X_41))) = join(top,X_42) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),X_42),join(X_42,complement(X_41))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
join(X_41,join(X_42,complement(X_41))) = join(top,X_42),
inference(resolve,[$cnf( $equal(join(X_41,join(complement(X_41),X_42)),join(top,X_42)) )],[refute_0_1017,refute_0_1022]) ).
cnf(refute_0_1024,plain,
join(top,X_42) = top,
inference(subst,[],[refute_0_595:[bind(X_34,$fot(X_42))]]) ).
cnf(refute_0_1025,plain,
( join(X_41,join(X_42,complement(X_41))) != join(top,X_42)
| join(top,X_42) != top
| join(X_41,join(X_42,complement(X_41))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_41,join(X_42,complement(X_41))),top) ),[0],$fot(join(top,X_42))]]) ).
cnf(refute_0_1026,plain,
( join(X_41,join(X_42,complement(X_41))) != join(top,X_42)
| join(X_41,join(X_42,complement(X_41))) = top ),
inference(resolve,[$cnf( $equal(join(top,X_42),top) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
join(X_41,join(X_42,complement(X_41))) = top,
inference(resolve,[$cnf( $equal(join(X_41,join(X_42,complement(X_41))),join(top,X_42)) )],[refute_0_1023,refute_0_1026]) ).
cnf(refute_0_1028,plain,
join(X_332,join(X_42,complement(X_332))) = top,
inference(subst,[],[refute_0_1027:[bind(X_41,$fot(X_332))]]) ).
cnf(refute_0_1029,plain,
( join(X_332,join(X_42,complement(X_332))) != top
| meet(join(X_332,join(X_42,complement(X_332))),join(X_332,complement(join(X_42,complement(X_332))))) != X_332
| meet(top,join(X_332,complement(join(X_42,complement(X_332))))) = X_332 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_332,join(X_42,complement(X_332))),join(X_332,complement(join(X_42,complement(X_332))))),X_332) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1030,plain,
( meet(join(X_332,join(X_42,complement(X_332))),join(X_332,complement(join(X_42,complement(X_332))))) != X_332
| meet(top,join(X_332,complement(join(X_42,complement(X_332))))) = X_332 ),
inference(resolve,[$cnf( $equal(join(X_332,join(X_42,complement(X_332))),top) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
meet(top,join(X_332,complement(join(X_42,complement(X_332))))) = X_332,
inference(resolve,[$cnf( $equal(meet(join(X_332,join(X_42,complement(X_332))),join(X_332,complement(join(X_42,complement(X_332))))),X_332) )],[refute_0_1016,refute_0_1030]) ).
cnf(refute_0_1032,plain,
complement(join(X_42,complement(X_332))) = meet(complement(X_42),X_332),
inference(subst,[],[refute_0_365:[bind(X1,$fot(X_332)),bind(X_19,$fot(X_42))]]) ).
cnf(refute_0_1033,plain,
join(X_332,complement(join(X_42,complement(X_332)))) = join(X_332,complement(join(X_42,complement(X_332)))),
introduced(tautology,[refl,[$fot(join(X_332,complement(join(X_42,complement(X_332)))))]]) ).
cnf(refute_0_1034,plain,
( complement(join(X_42,complement(X_332))) != meet(complement(X_42),X_332)
| join(X_332,complement(join(X_42,complement(X_332)))) != join(X_332,complement(join(X_42,complement(X_332))))
| join(X_332,complement(join(X_42,complement(X_332)))) = join(X_332,meet(complement(X_42),X_332)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_332,complement(join(X_42,complement(X_332)))),join(X_332,complement(join(X_42,complement(X_332))))) ),[1,1],$fot(meet(complement(X_42),X_332))]]) ).
cnf(refute_0_1035,plain,
( complement(join(X_42,complement(X_332))) != meet(complement(X_42),X_332)
| join(X_332,complement(join(X_42,complement(X_332)))) = join(X_332,meet(complement(X_42),X_332)) ),
inference(resolve,[$cnf( $equal(join(X_332,complement(join(X_42,complement(X_332)))),join(X_332,complement(join(X_42,complement(X_332))))) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
join(X_332,complement(join(X_42,complement(X_332)))) = join(X_332,meet(complement(X_42),X_332)),
inference(resolve,[$cnf( $equal(complement(join(X_42,complement(X_332))),meet(complement(X_42),X_332)) )],[refute_0_1032,refute_0_1035]) ).
cnf(refute_0_1037,plain,
meet(top,join(X_332,complement(join(X_42,complement(X_332))))) = join(X_332,complement(join(X_42,complement(X_332)))),
inference(subst,[],[refute_0_305:[bind(X_98,$fot(join(X_332,complement(join(X_42,complement(X_332))))))]]) ).
cnf(refute_0_1038,plain,
( join(X_332,complement(join(X_42,complement(X_332)))) != join(X_332,meet(complement(X_42),X_332))
| meet(top,join(X_332,complement(join(X_42,complement(X_332))))) != join(X_332,complement(join(X_42,complement(X_332))))
| meet(top,join(X_332,complement(join(X_42,complement(X_332))))) = join(X_332,meet(complement(X_42),X_332)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(top,join(X_332,complement(join(X_42,complement(X_332))))))),bind(Y,$fot(join(X_332,complement(join(X_42,complement(X_332)))))),bind(Z,$fot(join(X_332,meet(complement(X_42),X_332))))]]) ).
cnf(refute_0_1039,plain,
( join(X_332,complement(join(X_42,complement(X_332)))) != join(X_332,meet(complement(X_42),X_332))
| meet(top,join(X_332,complement(join(X_42,complement(X_332))))) = join(X_332,meet(complement(X_42),X_332)) ),
inference(resolve,[$cnf( $equal(meet(top,join(X_332,complement(join(X_42,complement(X_332))))),join(X_332,complement(join(X_42,complement(X_332))))) )],[refute_0_1037,refute_0_1038]) ).
cnf(refute_0_1040,plain,
meet(top,join(X_332,complement(join(X_42,complement(X_332))))) = join(X_332,meet(complement(X_42),X_332)),
inference(resolve,[$cnf( $equal(join(X_332,complement(join(X_42,complement(X_332)))),join(X_332,meet(complement(X_42),X_332))) )],[refute_0_1036,refute_0_1039]) ).
cnf(refute_0_1041,plain,
( meet(top,join(X_332,complement(join(X_42,complement(X_332))))) != X_332
| meet(top,join(X_332,complement(join(X_42,complement(X_332))))) != join(X_332,meet(complement(X_42),X_332))
| join(X_332,meet(complement(X_42),X_332)) = X_332 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(X_332,complement(join(X_42,complement(X_332))))),X_332) ),[0],$fot(join(X_332,meet(complement(X_42),X_332)))]]) ).
cnf(refute_0_1042,plain,
( meet(top,join(X_332,complement(join(X_42,complement(X_332))))) != X_332
| join(X_332,meet(complement(X_42),X_332)) = X_332 ),
inference(resolve,[$cnf( $equal(meet(top,join(X_332,complement(join(X_42,complement(X_332))))),join(X_332,meet(complement(X_42),X_332))) )],[refute_0_1040,refute_0_1041]) ).
cnf(refute_0_1043,plain,
join(X_332,meet(complement(X_42),X_332)) = X_332,
inference(resolve,[$cnf( $equal(meet(top,join(X_332,complement(join(X_42,complement(X_332))))),X_332) )],[refute_0_1031,refute_0_1042]) ).
cnf(refute_0_1044,plain,
join(X_333,meet(complement(X_332),X_333)) = X_333,
inference(subst,[],[refute_0_1043:[bind(X_332,$fot(X_333)),bind(X_42,$fot(X_332))]]) ).
cnf(refute_0_1045,plain,
join(X_332,join(X_333,meet(complement(X_332),X_333))) = join(X_332,join(X_333,meet(complement(X_332),X_333))),
introduced(tautology,[refl,[$fot(join(X_332,join(X_333,meet(complement(X_332),X_333))))]]) ).
cnf(refute_0_1046,plain,
( join(X_332,join(X_333,meet(complement(X_332),X_333))) != join(X_332,join(X_333,meet(complement(X_332),X_333)))
| join(X_333,meet(complement(X_332),X_333)) != X_333
| join(X_332,join(X_333,meet(complement(X_332),X_333))) = join(X_332,X_333) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_332,join(X_333,meet(complement(X_332),X_333))),join(X_332,join(X_333,meet(complement(X_332),X_333)))) ),[1,1],$fot(X_333)]]) ).
cnf(refute_0_1047,plain,
( join(X_333,meet(complement(X_332),X_333)) != X_333
| join(X_332,join(X_333,meet(complement(X_332),X_333))) = join(X_332,X_333) ),
inference(resolve,[$cnf( $equal(join(X_332,join(X_333,meet(complement(X_332),X_333))),join(X_332,join(X_333,meet(complement(X_332),X_333)))) )],[refute_0_1045,refute_0_1046]) ).
cnf(refute_0_1048,plain,
join(X_332,join(X_333,meet(complement(X_332),X_333))) = join(X_332,X_333),
inference(resolve,[$cnf( $equal(join(X_333,meet(complement(X_332),X_333)),X_333) )],[refute_0_1044,refute_0_1047]) ).
cnf(refute_0_1049,plain,
complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))) = complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))),
introduced(tautology,[refl,[$fot(complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))))]]) ).
cnf(refute_0_1050,plain,
( complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))) != complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))
| join(X_332,join(X_333,meet(complement(X_332),X_333))) != join(X_332,X_333)
| complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))) = complement(join(X_332,X_333)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))),complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) ),[1,0],$fot(join(X_332,X_333))]]) ).
cnf(refute_0_1051,plain,
( join(X_332,join(X_333,meet(complement(X_332),X_333))) != join(X_332,X_333)
| complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))) = complement(join(X_332,X_333)) ),
inference(resolve,[$cnf( $equal(complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))),complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))) = complement(join(X_332,X_333)),
inference(resolve,[$cnf( $equal(join(X_332,join(X_333,meet(complement(X_332),X_333))),join(X_332,X_333)) )],[refute_0_1048,refute_0_1051]) ).
cnf(refute_0_1053,plain,
join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) = join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))),
introduced(tautology,[refl,[$fot(join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))))]]) ).
cnf(refute_0_1054,plain,
( complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))) != complement(join(X_332,X_333))
| join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) != join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))))
| join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) = join(X_332,complement(join(X_332,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))),join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))))) ),[1,1],$fot(complement(join(X_332,X_333)))]]) ).
cnf(refute_0_1055,plain,
( complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))) != complement(join(X_332,X_333))
| join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) = join(X_332,complement(join(X_332,X_333))) ),
inference(resolve,[$cnf( $equal(join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))),join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))))) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) = join(X_332,complement(join(X_332,X_333))),
inference(resolve,[$cnf( $equal(complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))),complement(join(X_332,X_333))) )],[refute_0_1052,refute_0_1055]) ).
cnf(refute_0_1057,plain,
( join(X_332,complement(X_333)) != join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))))
| join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))) != join(X_332,complement(join(X_332,X_333)))
| join(X_332,complement(X_333)) = join(X_332,complement(join(X_332,X_333))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_332,complement(X_333)),join(X_332,complement(join(X_332,X_333)))) ),[0],$fot(join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))))]]) ).
cnf(refute_0_1058,plain,
( join(X_332,complement(X_333)) != join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))))
| join(X_332,complement(X_333)) = join(X_332,complement(join(X_332,X_333))) ),
inference(resolve,[$cnf( $equal(join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333))))),join(X_332,complement(join(X_332,X_333)))) )],[refute_0_1056,refute_0_1057]) ).
cnf(refute_0_1059,plain,
join(X_332,complement(X_333)) = join(X_332,complement(join(X_332,X_333))),
inference(resolve,[$cnf( $equal(join(X_332,complement(X_333)),join(X_332,complement(join(X_332,join(X_333,meet(complement(X_332),X_333)))))) )],[refute_0_1015,refute_0_1058]) ).
cnf(refute_0_1060,plain,
( join(X_332,complement(X_333)) != join(X_332,complement(join(X_332,X_333)))
| join(X_332,complement(join(X_332,X_333))) = join(X_332,complement(X_333)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_332,complement(X_333)))),bind(Y,$fot(join(X_332,complement(join(X_332,X_333)))))]]) ).
cnf(refute_0_1061,plain,
join(X_332,complement(join(X_332,X_333))) = join(X_332,complement(X_333)),
inference(resolve,[$cnf( $equal(join(X_332,complement(X_333)),join(X_332,complement(join(X_332,X_333)))) )],[refute_0_1059,refute_0_1060]) ).
cnf(refute_0_1062,plain,
join(X_369,complement(join(X_369,X_370))) = join(X_369,complement(X_370)),
inference(subst,[],[refute_0_1061:[bind(X_332,$fot(X_369)),bind(X_333,$fot(X_370))]]) ).
cnf(refute_0_1063,plain,
meet(complement(X_369),complement(X_370)) = complement(join(X_369,X_370)),
inference(subst,[],[refute_0_687:[bind(X1,$fot(X_370)),bind(X_293,$fot(X_369))]]) ).
cnf(refute_0_1064,plain,
join(X_369,meet(complement(X_369),complement(X_370))) = join(X_369,meet(complement(X_369),complement(X_370))),
introduced(tautology,[refl,[$fot(join(X_369,meet(complement(X_369),complement(X_370))))]]) ).
cnf(refute_0_1065,plain,
( join(X_369,meet(complement(X_369),complement(X_370))) != join(X_369,meet(complement(X_369),complement(X_370)))
| meet(complement(X_369),complement(X_370)) != complement(join(X_369,X_370))
| join(X_369,meet(complement(X_369),complement(X_370))) = join(X_369,complement(join(X_369,X_370))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_369,meet(complement(X_369),complement(X_370))),join(X_369,meet(complement(X_369),complement(X_370)))) ),[1,1],$fot(complement(join(X_369,X_370)))]]) ).
cnf(refute_0_1066,plain,
( meet(complement(X_369),complement(X_370)) != complement(join(X_369,X_370))
| join(X_369,meet(complement(X_369),complement(X_370))) = join(X_369,complement(join(X_369,X_370))) ),
inference(resolve,[$cnf( $equal(join(X_369,meet(complement(X_369),complement(X_370))),join(X_369,meet(complement(X_369),complement(X_370)))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
join(X_369,meet(complement(X_369),complement(X_370))) = join(X_369,complement(join(X_369,X_370))),
inference(resolve,[$cnf( $equal(meet(complement(X_369),complement(X_370)),complement(join(X_369,X_370))) )],[refute_0_1063,refute_0_1066]) ).
cnf(refute_0_1068,plain,
( join(X_369,complement(join(X_369,X_370))) != join(X_369,complement(X_370))
| join(X_369,meet(complement(X_369),complement(X_370))) != join(X_369,complement(join(X_369,X_370)))
| join(X_369,meet(complement(X_369),complement(X_370))) = join(X_369,complement(X_370)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(X_369,meet(complement(X_369),complement(X_370))))),bind(Y,$fot(join(X_369,complement(join(X_369,X_370))))),bind(Z,$fot(join(X_369,complement(X_370))))]]) ).
cnf(refute_0_1069,plain,
( join(X_369,complement(join(X_369,X_370))) != join(X_369,complement(X_370))
| join(X_369,meet(complement(X_369),complement(X_370))) = join(X_369,complement(X_370)) ),
inference(resolve,[$cnf( $equal(join(X_369,meet(complement(X_369),complement(X_370))),join(X_369,complement(join(X_369,X_370)))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
join(X_369,meet(complement(X_369),complement(X_370))) = join(X_369,complement(X_370)),
inference(resolve,[$cnf( $equal(join(X_369,complement(join(X_369,X_370))),join(X_369,complement(X_370))) )],[refute_0_1062,refute_0_1069]) ).
cnf(refute_0_1071,plain,
( join(X_369,meet(complement(X_369),complement(X_370))) != join(X_369,complement(X_370))
| join(complement(X_370),meet(X_370,X_369)) != join(X_369,meet(complement(X_369),complement(X_370)))
| join(complement(X_370),meet(X_370,X_369)) = join(X_369,complement(X_370)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_370),meet(X_370,X_369)),join(X_369,meet(complement(X_369),complement(X_370)))) ),[1],$fot(join(X_369,complement(X_370)))]]) ).
cnf(refute_0_1072,plain,
( join(complement(X_370),meet(X_370,X_369)) != join(X_369,meet(complement(X_369),complement(X_370)))
| join(complement(X_370),meet(X_370,X_369)) = join(X_369,complement(X_370)) ),
inference(resolve,[$cnf( $equal(join(X_369,meet(complement(X_369),complement(X_370))),join(X_369,complement(X_370))) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
( join(meet(X_370,X_369),complement(X_370)) != join(X_369,meet(complement(X_369),complement(X_370)))
| join(complement(X_370),meet(X_370,X_369)) = join(X_369,complement(X_370)) ),
inference(resolve,[$cnf( $equal(join(complement(X_370),meet(X_370,X_369)),join(X_369,meet(complement(X_369),complement(X_370)))) )],[refute_0_722,refute_0_1072]) ).
cnf(refute_0_1074,plain,
join(complement(X_370),meet(X_370,X_369)) = join(X_369,complement(X_370)),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),complement(X_370)),join(X_369,meet(complement(X_369),complement(X_370)))) )],[refute_0_386,refute_0_1073]) ).
cnf(refute_0_1075,plain,
join(complement(complement(one)),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))),
inference(subst,[],[refute_0_1074:[bind(X_369,$fot(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),bind(X_370,$fot(complement(one)))]]) ).
cnf(refute_0_1076,plain,
join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_1077,plain,
meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1)),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(X2)),bind(X_8,$fot(composition(meet(X0,composition(X2,converse(X1))),X1)))]]) ).
cnf(refute_0_1078,plain,
join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),
introduced(tautology,[refl,[$fot(join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)))]]) ).
cnf(refute_0_1079,plain,
( join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) != join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))
| meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) != meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))
| join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))) ),[1,1],$fot(meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1)))]]) ).
cnf(refute_0_1080,plain,
( meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) != meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))
| join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))) )],[refute_0_1078,refute_0_1079]) ).
cnf(refute_0_1081,plain,
join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))),
inference(resolve,[$cnf( $equal(meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) )],[refute_0_1077,refute_0_1080]) ).
cnf(refute_0_1082,plain,
( join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) != join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1)))
| join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) != meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)
| join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) ),[0],$fot(join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))))]]) ).
cnf(refute_0_1083,plain,
( join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) != meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)
| join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1)))) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
( join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) != meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)
| meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) != meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))
| join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) = meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) ),[0],$fot(meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))]]) ).
cnf(refute_0_1085,plain,
( join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) != meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)
| join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) = meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1)) ),
inference(resolve,[$cnf( $equal(meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) )],[refute_0_1077,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) != meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)
| join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) = meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1)) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) )],[refute_0_1083,refute_0_1085]) ).
cnf(refute_0_1087,plain,
join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1))) = meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1)),
inference(resolve,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) )],[refute_0_1076,refute_0_1086]) ).
cnf(refute_0_1088,plain,
join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1087:[bind(X0,$fot(composition(X_456,converse(skolemFOFtoCNF_X0)))),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(complement(X_456)))]]) ).
cnf(refute_0_1089,plain,
meet(X_294,complement(join(X_42,complement(complement(X_294))))) = complement(join(complement(X_294),join(X_42,complement(complement(X_294))))),
inference(subst,[],[refute_0_318:[bind(X0,$fot(X_294)),bind(X_19,$fot(join(X_42,complement(complement(X_294)))))]]) ).
cnf(refute_0_1090,plain,
join(complement(X_294),join(X_42,complement(complement(X_294)))) = top,
inference(subst,[],[refute_0_1027:[bind(X_41,$fot(complement(X_294)))]]) ).
cnf(refute_0_1091,plain,
( join(complement(X_294),join(X_42,complement(complement(X_294)))) != top
| meet(X_294,complement(join(X_42,complement(complement(X_294))))) != complement(join(complement(X_294),join(X_42,complement(complement(X_294)))))
| meet(X_294,complement(join(X_42,complement(complement(X_294))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(join(X_42,complement(complement(X_294))))),complement(join(complement(X_294),join(X_42,complement(complement(X_294)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1092,plain,
( meet(X_294,complement(join(X_42,complement(complement(X_294))))) != complement(join(complement(X_294),join(X_42,complement(complement(X_294)))))
| meet(X_294,complement(join(X_42,complement(complement(X_294))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_294),join(X_42,complement(complement(X_294)))),top) )],[refute_0_1090,refute_0_1091]) ).
cnf(refute_0_1093,plain,
meet(X_294,complement(join(X_42,complement(complement(X_294))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(X_42,complement(complement(X_294))))),complement(join(complement(X_294),join(X_42,complement(complement(X_294)))))) )],[refute_0_1089,refute_0_1092]) ).
cnf(refute_0_1094,plain,
meet(complement(X_42),complement(X_294)) = complement(join(X_42,X_294)),
inference(subst,[],[refute_0_687:[bind(X1,$fot(X_294)),bind(X_293,$fot(X_42))]]) ).
cnf(refute_0_1095,plain,
complement(join(X_42,complement(complement(X_294)))) = meet(complement(X_42),complement(X_294)),
inference(subst,[],[refute_0_365:[bind(X1,$fot(complement(X_294))),bind(X_19,$fot(X_42))]]) ).
cnf(refute_0_1096,plain,
( complement(join(X_42,complement(complement(X_294)))) != meet(complement(X_42),complement(X_294))
| meet(complement(X_42),complement(X_294)) != complement(join(X_42,X_294))
| complement(join(X_42,complement(complement(X_294)))) = complement(join(X_42,X_294)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(complement(join(X_42,complement(complement(X_294)))))),bind(Y,$fot(meet(complement(X_42),complement(X_294)))),bind(Z,$fot(complement(join(X_42,X_294))))]]) ).
cnf(refute_0_1097,plain,
( meet(complement(X_42),complement(X_294)) != complement(join(X_42,X_294))
| complement(join(X_42,complement(complement(X_294)))) = complement(join(X_42,X_294)) ),
inference(resolve,[$cnf( $equal(complement(join(X_42,complement(complement(X_294)))),meet(complement(X_42),complement(X_294))) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
complement(join(X_42,complement(complement(X_294)))) = complement(join(X_42,X_294)),
inference(resolve,[$cnf( $equal(meet(complement(X_42),complement(X_294)),complement(join(X_42,X_294))) )],[refute_0_1094,refute_0_1097]) ).
cnf(refute_0_1099,plain,
meet(X_294,complement(join(X_42,complement(complement(X_294))))) = meet(X_294,complement(join(X_42,complement(complement(X_294))))),
introduced(tautology,[refl,[$fot(meet(X_294,complement(join(X_42,complement(complement(X_294))))))]]) ).
cnf(refute_0_1100,plain,
( complement(join(X_42,complement(complement(X_294)))) != complement(join(X_42,X_294))
| meet(X_294,complement(join(X_42,complement(complement(X_294))))) != meet(X_294,complement(join(X_42,complement(complement(X_294)))))
| meet(X_294,complement(join(X_42,complement(complement(X_294))))) = meet(X_294,complement(join(X_42,X_294))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(join(X_42,complement(complement(X_294))))),meet(X_294,complement(join(X_42,complement(complement(X_294)))))) ),[1,1],$fot(complement(join(X_42,X_294)))]]) ).
cnf(refute_0_1101,plain,
( complement(join(X_42,complement(complement(X_294)))) != complement(join(X_42,X_294))
| meet(X_294,complement(join(X_42,complement(complement(X_294))))) = meet(X_294,complement(join(X_42,X_294))) ),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(X_42,complement(complement(X_294))))),meet(X_294,complement(join(X_42,complement(complement(X_294)))))) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
meet(X_294,complement(join(X_42,complement(complement(X_294))))) = meet(X_294,complement(join(X_42,X_294))),
inference(resolve,[$cnf( $equal(complement(join(X_42,complement(complement(X_294)))),complement(join(X_42,X_294))) )],[refute_0_1098,refute_0_1101]) ).
cnf(refute_0_1103,plain,
( meet(X_294,complement(join(X_42,complement(complement(X_294))))) != complement(top)
| meet(X_294,complement(join(X_42,complement(complement(X_294))))) != meet(X_294,complement(join(X_42,X_294)))
| meet(X_294,complement(join(X_42,X_294))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(join(X_42,complement(complement(X_294))))),complement(top)) ),[0],$fot(meet(X_294,complement(join(X_42,X_294))))]]) ).
cnf(refute_0_1104,plain,
( meet(X_294,complement(join(X_42,complement(complement(X_294))))) != complement(top)
| meet(X_294,complement(join(X_42,X_294))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(X_42,complement(complement(X_294))))),meet(X_294,complement(join(X_42,X_294)))) )],[refute_0_1102,refute_0_1103]) ).
cnf(refute_0_1105,plain,
( complement(top) != zero
| meet(X_294,complement(join(X_42,X_294))) != complement(top)
| meet(X_294,complement(join(X_42,X_294))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(join(X_42,X_294))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1106,plain,
( meet(X_294,complement(join(X_42,X_294))) != complement(top)
| meet(X_294,complement(join(X_42,X_294))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_1105]) ).
cnf(refute_0_1107,plain,
( meet(X_294,complement(join(X_42,complement(complement(X_294))))) != complement(top)
| meet(X_294,complement(join(X_42,X_294))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(X_42,X_294))),complement(top)) )],[refute_0_1104,refute_0_1106]) ).
cnf(refute_0_1108,plain,
meet(X_294,complement(join(X_42,X_294))) = zero,
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(X_42,complement(complement(X_294))))),complement(top)) )],[refute_0_1093,refute_0_1107]) ).
cnf(refute_0_1109,plain,
meet(meet(complement(X_325),X_326),complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)))) = zero,
inference(subst,[],[refute_0_1108:[bind(X_294,$fot(meet(complement(X_325),X_326))),bind(X_42,$fot(complement(join(X_325,X_326))))]]) ).
cnf(refute_0_1110,plain,
( join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)) != complement(X_325)
| meet(meet(complement(X_325),X_326),complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)))) != zero
| meet(meet(complement(X_325),X_326),complement(complement(X_325))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(X_325),X_326),complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)))),zero) ),[0,1,0],$fot(complement(X_325))]]) ).
cnf(refute_0_1111,plain,
( meet(meet(complement(X_325),X_326),complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)))) != zero
| meet(meet(complement(X_325),X_326),complement(complement(X_325))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)),complement(X_325)) )],[refute_0_766,refute_0_1110]) ).
cnf(refute_0_1112,plain,
meet(meet(complement(X_325),X_326),complement(complement(X_325))) = zero,
inference(resolve,[$cnf( $equal(meet(meet(complement(X_325),X_326),complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)))),zero) )],[refute_0_1109,refute_0_1111]) ).
cnf(refute_0_1113,plain,
meet(complement(complement(X_325)),meet(complement(X_325),X_326)) = meet(complement(complement(X_325)),meet(complement(X_325),X_326)),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_325)),meet(complement(X_325),X_326)))]]) ).
cnf(refute_0_1114,plain,
( complement(complement(X_325)) != X_325
| meet(complement(complement(X_325)),meet(complement(X_325),X_326)) != meet(complement(complement(X_325)),meet(complement(X_325),X_326))
| meet(complement(complement(X_325)),meet(complement(X_325),X_326)) = meet(X_325,meet(complement(X_325),X_326)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_325)),meet(complement(X_325),X_326)),meet(complement(complement(X_325)),meet(complement(X_325),X_326))) ),[1,0],$fot(X_325)]]) ).
cnf(refute_0_1115,plain,
( complement(complement(X_325)) != X_325
| meet(complement(complement(X_325)),meet(complement(X_325),X_326)) = meet(X_325,meet(complement(X_325),X_326)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_325)),meet(complement(X_325),X_326)),meet(complement(complement(X_325)),meet(complement(X_325),X_326))) )],[refute_0_1113,refute_0_1114]) ).
cnf(refute_0_1116,plain,
meet(complement(complement(X_325)),meet(complement(X_325),X_326)) = meet(X_325,meet(complement(X_325),X_326)),
inference(resolve,[$cnf( $equal(complement(complement(X_325)),X_325) )],[refute_0_786,refute_0_1115]) ).
cnf(refute_0_1117,plain,
meet(meet(complement(X_325),X_326),complement(complement(X_325))) = meet(complement(complement(X_325)),meet(complement(X_325),X_326)),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(complement(complement(X_325)))),bind(X_8,$fot(meet(complement(X_325),X_326)))]]) ).
cnf(refute_0_1118,plain,
( meet(complement(complement(X_325)),meet(complement(X_325),X_326)) != meet(X_325,meet(complement(X_325),X_326))
| meet(meet(complement(X_325),X_326),complement(complement(X_325))) != meet(complement(complement(X_325)),meet(complement(X_325),X_326))
| meet(meet(complement(X_325),X_326),complement(complement(X_325))) = meet(X_325,meet(complement(X_325),X_326)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(meet(complement(X_325),X_326),complement(complement(X_325))))),bind(Y,$fot(meet(complement(complement(X_325)),meet(complement(X_325),X_326)))),bind(Z,$fot(meet(X_325,meet(complement(X_325),X_326))))]]) ).
cnf(refute_0_1119,plain,
( meet(complement(complement(X_325)),meet(complement(X_325),X_326)) != meet(X_325,meet(complement(X_325),X_326))
| meet(meet(complement(X_325),X_326),complement(complement(X_325))) = meet(X_325,meet(complement(X_325),X_326)) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_325),X_326),complement(complement(X_325))),meet(complement(complement(X_325)),meet(complement(X_325),X_326))) )],[refute_0_1117,refute_0_1118]) ).
cnf(refute_0_1120,plain,
meet(meet(complement(X_325),X_326),complement(complement(X_325))) = meet(X_325,meet(complement(X_325),X_326)),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_325)),meet(complement(X_325),X_326)),meet(X_325,meet(complement(X_325),X_326))) )],[refute_0_1116,refute_0_1119]) ).
cnf(refute_0_1121,plain,
( meet(meet(complement(X_325),X_326),complement(complement(X_325))) != meet(X_325,meet(complement(X_325),X_326))
| meet(meet(complement(X_325),X_326),complement(complement(X_325))) != zero
| meet(X_325,meet(complement(X_325),X_326)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(X_325),X_326),complement(complement(X_325))),zero) ),[0],$fot(meet(X_325,meet(complement(X_325),X_326)))]]) ).
cnf(refute_0_1122,plain,
( meet(meet(complement(X_325),X_326),complement(complement(X_325))) != zero
| meet(X_325,meet(complement(X_325),X_326)) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_325),X_326),complement(complement(X_325))),meet(X_325,meet(complement(X_325),X_326))) )],[refute_0_1120,refute_0_1121]) ).
cnf(refute_0_1123,plain,
meet(X_325,meet(complement(X_325),X_326)) = zero,
inference(resolve,[$cnf( $equal(meet(meet(complement(X_325),X_326),complement(complement(X_325))),zero) )],[refute_0_1112,refute_0_1122]) ).
cnf(refute_0_1124,plain,
meet(composition(X_456,converse(skolemFOFtoCNF_X0)),meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0)))) = zero,
inference(subst,[],[refute_0_1123:[bind(X_325,$fot(composition(X_456,converse(skolemFOFtoCNF_X0)))),bind(X_326,$fot(composition(complement(X_456),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1125,plain,
converse(composition(skolemFOFtoCNF_X0,complement(X_241))) = meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241))))))),
inference(subst,[],[refute_0_805:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,complement(X_241)))),bind(X1,$fot(meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241))))))]]) ).
cnf(refute_0_1126,plain,
complement(composition(skolemFOFtoCNF_X0,X_126)) = join(meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126))),meet(complement(composition(skolemFOFtoCNF_X0,X_126)),complement(composition(skolemFOFtoCNF_X0,complement(X_126))))),
inference(subst,[],[refute_0_411:[bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(X_126)))),bind(X_96,$fot(complement(composition(skolemFOFtoCNF_X0,X_126))))]]) ).
cnf(refute_0_1127,plain,
composition(skolemFOFtoCNF_X0,X1) = join(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))),complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,X1))),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(X1))))]]) ).
cnf(refute_0_1128,plain,
( composition(skolemFOFtoCNF_X0,X1) != join(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))),complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))))
| meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))) != zero
| composition(skolemFOFtoCNF_X0,X1) = join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,X1),join(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))),complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1129,plain,
( composition(skolemFOFtoCNF_X0,X1) != join(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))),complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))))
| composition(skolemFOFtoCNF_X0,X1) = join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))),zero) )],[refute_0_424,refute_0_1128]) ).
cnf(refute_0_1130,plain,
composition(skolemFOFtoCNF_X0,X1) = join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,X1),join(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))),complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))))) )],[refute_0_1127,refute_0_1129]) ).
cnf(refute_0_1131,plain,
complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))) = meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1)))),
inference(subst,[],[refute_0_320:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,X1))),bind(X_19,$fot(composition(skolemFOFtoCNF_X0,complement(X1))))]]) ).
cnf(refute_0_1132,plain,
join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))) = complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))))]]) ).
cnf(refute_0_1133,plain,
( complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))) != meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1))))
| join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))) != complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))
| join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))) = meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))))),bind(Y,$fot(complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))))),bind(Z,$fot(meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1))))))]]) ).
cnf(refute_0_1134,plain,
( complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))) != meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1))))
| join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))) = meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))),complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))) = meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1)))),
inference(resolve,[$cnf( $equal(complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))),meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1))))) )],[refute_0_1131,refute_0_1134]) ).
cnf(refute_0_1136,plain,
( composition(skolemFOFtoCNF_X0,X1) != join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))))
| join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))) != meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1))))
| composition(skolemFOFtoCNF_X0,X1) = meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0,X1),meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1))))) ),[0],$fot(join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))))]]) ).
cnf(refute_0_1137,plain,
( composition(skolemFOFtoCNF_X0,X1) != join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))))
| composition(skolemFOFtoCNF_X0,X1) = meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))))),meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1))))) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
composition(skolemFOFtoCNF_X0,X1) = meet(composition(skolemFOFtoCNF_X0,X1),complement(composition(skolemFOFtoCNF_X0,complement(X1)))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,X1),join(zero,complement(join(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))))) )],[refute_0_1130,refute_0_1137]) ).
cnf(refute_0_1139,plain,
composition(skolemFOFtoCNF_X0,complement(X1)) = meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,complement(complement(X1))))),
inference(subst,[],[refute_0_1138:[bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_1140,plain,
( complement(complement(X1)) != X1
| composition(skolemFOFtoCNF_X0,complement(X1)) != meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,complement(complement(X1)))))
| composition(skolemFOFtoCNF_X0,complement(X1)) = meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(X1)),meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,complement(complement(X1)))))) ),[1,1,0,1],$fot(X1)]]) ).
cnf(refute_0_1141,plain,
( composition(skolemFOFtoCNF_X0,complement(X1)) != meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,complement(complement(X1)))))
| composition(skolemFOFtoCNF_X0,complement(X1)) = meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,X1))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_1140]) ).
cnf(refute_0_1142,plain,
composition(skolemFOFtoCNF_X0,complement(X1)) = meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,X1))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(X1)),meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,complement(complement(X1)))))) )],[refute_0_1139,refute_0_1141]) ).
cnf(refute_0_1143,plain,
meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,X1))) = meet(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(complement(composition(skolemFOFtoCNF_X0,X1)))),bind(X_8,$fot(composition(skolemFOFtoCNF_X0,complement(X1))))]]) ).
cnf(refute_0_1144,plain,
( composition(skolemFOFtoCNF_X0,complement(X1)) != meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,X1)))
| meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,X1))) != meet(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))
| composition(skolemFOFtoCNF_X0,complement(X1)) = meet(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0,complement(X1)),meet(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))) ),[0],$fot(meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,X1))))]]) ).
cnf(refute_0_1145,plain,
( composition(skolemFOFtoCNF_X0,complement(X1)) != meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,X1)))
| composition(skolemFOFtoCNF_X0,complement(X1)) = meet(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,X1))),meet(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1)))) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
composition(skolemFOFtoCNF_X0,complement(X1)) = meet(complement(composition(skolemFOFtoCNF_X0,X1)),composition(skolemFOFtoCNF_X0,complement(X1))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(X1)),meet(composition(skolemFOFtoCNF_X0,complement(X1)),complement(composition(skolemFOFtoCNF_X0,X1)))) )],[refute_0_1142,refute_0_1145]) ).
cnf(refute_0_1147,plain,
composition(skolemFOFtoCNF_X0,complement(X_126)) = meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126))),
inference(subst,[],[refute_0_1146:[bind(X1,$fot(X_126))]]) ).
cnf(refute_0_1148,plain,
( composition(skolemFOFtoCNF_X0,complement(X_126)) != meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126)))
| meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126))) = composition(skolemFOFtoCNF_X0,complement(X_126)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(skolemFOFtoCNF_X0,complement(X_126)))),bind(Y,$fot(meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126)))))]]) ).
cnf(refute_0_1149,plain,
meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126))) = composition(skolemFOFtoCNF_X0,complement(X_126)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(X_126)),meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126)))) )],[refute_0_1147,refute_0_1148]) ).
cnf(refute_0_1150,plain,
( complement(composition(skolemFOFtoCNF_X0,X_126)) != join(meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126))),meet(complement(composition(skolemFOFtoCNF_X0,X_126)),complement(composition(skolemFOFtoCNF_X0,complement(X_126)))))
| meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126))) != composition(skolemFOFtoCNF_X0,complement(X_126))
| complement(composition(skolemFOFtoCNF_X0,X_126)) = join(composition(skolemFOFtoCNF_X0,complement(X_126)),meet(complement(composition(skolemFOFtoCNF_X0,X_126)),complement(composition(skolemFOFtoCNF_X0,complement(X_126))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,X_126)),join(meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126))),meet(complement(composition(skolemFOFtoCNF_X0,X_126)),complement(composition(skolemFOFtoCNF_X0,complement(X_126)))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,complement(X_126)))]]) ).
cnf(refute_0_1151,plain,
( complement(composition(skolemFOFtoCNF_X0,X_126)) != join(meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126))),meet(complement(composition(skolemFOFtoCNF_X0,X_126)),complement(composition(skolemFOFtoCNF_X0,complement(X_126)))))
| complement(composition(skolemFOFtoCNF_X0,X_126)) = join(composition(skolemFOFtoCNF_X0,complement(X_126)),meet(complement(composition(skolemFOFtoCNF_X0,X_126)),complement(composition(skolemFOFtoCNF_X0,complement(X_126))))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126))),composition(skolemFOFtoCNF_X0,complement(X_126))) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
complement(composition(skolemFOFtoCNF_X0,X_126)) = join(composition(skolemFOFtoCNF_X0,complement(X_126)),meet(complement(composition(skolemFOFtoCNF_X0,X_126)),complement(composition(skolemFOFtoCNF_X0,complement(X_126))))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,X_126)),join(meet(complement(composition(skolemFOFtoCNF_X0,X_126)),composition(skolemFOFtoCNF_X0,complement(X_126))),meet(complement(composition(skolemFOFtoCNF_X0,X_126)),complement(composition(skolemFOFtoCNF_X0,complement(X_126)))))) )],[refute_0_1126,refute_0_1151]) ).
cnf(refute_0_1153,plain,
complement(composition(skolemFOFtoCNF_X0,X_241)) = join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241))))),
inference(subst,[],[refute_0_1152:[bind(X_126,$fot(X_241))]]) ).
cnf(refute_0_1154,plain,
( complement(composition(skolemFOFtoCNF_X0,X_241)) != join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241)))))
| join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241))))) = complement(composition(skolemFOFtoCNF_X0,X_241)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(composition(skolemFOFtoCNF_X0,X_241)))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241)))))))]]) ).
cnf(refute_0_1155,plain,
join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241))))) = complement(composition(skolemFOFtoCNF_X0,X_241)),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,X_241)),join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241)))))) )],[refute_0_1153,refute_0_1154]) ).
cnf(refute_0_1156,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(X_241))) != meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241)))))))
| join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241))))) != complement(composition(skolemFOFtoCNF_X0,X_241))
| converse(composition(skolemFOFtoCNF_X0,complement(X_241))) = meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241)))))))) ),[1,1,0],$fot(complement(composition(skolemFOFtoCNF_X0,X_241)))]]) ).
cnf(refute_0_1157,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(X_241))) != meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241)))))))
| converse(composition(skolemFOFtoCNF_X0,complement(X_241))) = meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241))))),complement(composition(skolemFOFtoCNF_X0,X_241))) )],[refute_0_1155,refute_0_1156]) ).
cnf(refute_0_1158,plain,
converse(composition(skolemFOFtoCNF_X0,complement(X_241))) = meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(join(composition(skolemFOFtoCNF_X0,complement(X_241)),meet(complement(composition(skolemFOFtoCNF_X0,X_241)),complement(composition(skolemFOFtoCNF_X0,complement(X_241)))))))) )],[refute_0_1125,refute_0_1157]) ).
cnf(refute_0_1159,plain,
converse(complement(composition(skolemFOFtoCNF_X0,X_241))) = complement(converse(composition(skolemFOFtoCNF_X0,X_241))),
inference(subst,[],[refute_0_987:[bind(X_231,$fot(composition(skolemFOFtoCNF_X0,X_241)))]]) ).
cnf(refute_0_1160,plain,
meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) = meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))),
introduced(tautology,[refl,[$fot(meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))))]]) ).
cnf(refute_0_1161,plain,
( converse(complement(composition(skolemFOFtoCNF_X0,X_241))) != complement(converse(composition(skolemFOFtoCNF_X0,X_241)))
| meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) != meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))
| meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) = meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))),meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))) ),[1,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,X_241))))]]) ).
cnf(refute_0_1162,plain,
( converse(complement(composition(skolemFOFtoCNF_X0,X_241))) != complement(converse(composition(skolemFOFtoCNF_X0,X_241)))
| meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) = meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))),meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))) )],[refute_0_1160,refute_0_1161]) ).
cnf(refute_0_1163,plain,
meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) = meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),complement(converse(composition(skolemFOFtoCNF_X0,X_241)))) )],[refute_0_1159,refute_0_1162]) ).
cnf(refute_0_1164,plain,
meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))) = meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(converse(complement(composition(skolemFOFtoCNF_X0,X_241))))),bind(X_8,$fot(converse(composition(skolemFOFtoCNF_X0,complement(X_241)))))]]) ).
cnf(refute_0_1165,plain,
( meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) != meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))
| meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))) != meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))
| meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))) = meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))))),bind(Y,$fot(meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))))),bind(Z,$fot(meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))))]]) ).
cnf(refute_0_1166,plain,
( meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) != meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))
| meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))) = meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))),meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))) )],[refute_0_1164,refute_0_1165]) ).
cnf(refute_0_1167,plain,
meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))) = meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))),meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))) )],[refute_0_1163,refute_0_1166]) ).
cnf(refute_0_1168,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(X_241))) != meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241))))
| meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))) != meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))
| converse(composition(skolemFOFtoCNF_X0,complement(X_241))) = meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))) ),[0],$fot(meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))))]]) ).
cnf(refute_0_1169,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(X_241))) != meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241))))
| converse(composition(skolemFOFtoCNF_X0,complement(X_241))) = meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241)))),meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))) )],[refute_0_1167,refute_0_1168]) ).
cnf(refute_0_1170,plain,
converse(composition(skolemFOFtoCNF_X0,complement(X_241))) = meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),meet(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),converse(complement(composition(skolemFOFtoCNF_X0,X_241))))) )],[refute_0_1158,refute_0_1169]) ).
cnf(refute_0_1171,plain,
converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) = meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(X0)))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))),
inference(subst,[],[refute_0_1170:[bind(X_241,$fot(converse(X0)))]]) ).
cnf(refute_0_1172,plain,
converse(composition(X_11,converse(X0))) = composition(converse(converse(X0)),converse(X_11)),
inference(subst,[],[refute_0_93:[bind(X0,$fot(X_11)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1173,plain,
( converse(composition(X_11,converse(X0))) != composition(converse(converse(X0)),converse(X_11))
| converse(converse(X0)) != X0
| converse(composition(X_11,converse(X0))) = composition(X0,converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,converse(X0))),composition(converse(converse(X0)),converse(X_11))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1174,plain,
( converse(composition(X_11,converse(X0))) != composition(converse(converse(X0)),converse(X_11))
| converse(composition(X_11,converse(X0))) = composition(X0,converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_95,refute_0_1173]) ).
cnf(refute_0_1175,plain,
converse(composition(X_11,converse(X0))) = composition(X0,converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,converse(X0))),composition(converse(converse(X0)),converse(X_11))) )],[refute_0_1172,refute_0_1174]) ).
cnf(refute_0_1176,plain,
converse(composition(skolemFOFtoCNF_X0,converse(X0))) = composition(X0,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1175:[bind(X_11,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1177,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) != meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(X0)))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))
| converse(composition(skolemFOFtoCNF_X0,converse(X0))) != composition(X0,converse(skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))),meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(X0)))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))) ),[1,0,0],$fot(composition(X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1178,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) != meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(X0)))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))
| converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,converse(X0))),composition(X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_1176,refute_0_1177]) ).
cnf(refute_0_1179,plain,
converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))),meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(X0)))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))) )],[refute_0_1171,refute_0_1178]) ).
cnf(refute_0_1180,plain,
converse(composition(X0,complement(converse(X_231)))) = composition(converse(complement(converse(X_231))),converse(X0)),
inference(subst,[],[refute_0_93:[bind(X1,$fot(complement(converse(X_231))))]]) ).
cnf(refute_0_1181,plain,
( converse(complement(converse(X_231))) != complement(X_231)
| converse(composition(X0,complement(converse(X_231)))) != composition(converse(complement(converse(X_231))),converse(X0))
| converse(composition(X0,complement(converse(X_231)))) = composition(complement(X_231),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,complement(converse(X_231)))),composition(converse(complement(converse(X_231))),converse(X0))) ),[1,0],$fot(complement(X_231))]]) ).
cnf(refute_0_1182,plain,
( converse(composition(X0,complement(converse(X_231)))) != composition(converse(complement(converse(X_231))),converse(X0))
| converse(composition(X0,complement(converse(X_231)))) = composition(complement(X_231),converse(X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_231))),complement(X_231)) )],[refute_0_984,refute_0_1181]) ).
cnf(refute_0_1183,plain,
converse(composition(X0,complement(converse(X_231)))) = composition(complement(X_231),converse(X0)),
inference(resolve,[$cnf( $equal(converse(composition(X0,complement(converse(X_231)))),composition(converse(complement(converse(X_231))),converse(X0))) )],[refute_0_1180,refute_0_1182]) ).
cnf(refute_0_1184,plain,
converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) = composition(complement(X0),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1183:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_231,$fot(X0))]]) ).
cnf(refute_0_1185,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) != composition(complement(X0),converse(skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) != meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))
| composition(complement(X0),converse(skolemFOFtoCNF_X0)) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))),meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))) ),[0],$fot(composition(complement(X0),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1186,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) != meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))
| composition(complement(X0),converse(skolemFOFtoCNF_X0)) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))),composition(complement(X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_1184,refute_0_1185]) ).
cnf(refute_0_1187,plain,
meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))),
introduced(tautology,[refl,[$fot(meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))))]]) ).
cnf(refute_0_1188,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) != composition(complement(X0),converse(skolemFOFtoCNF_X0))
| meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))) != meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))
| meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),composition(complement(X0),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))),meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))) ),[1,1],$fot(composition(complement(X0),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1189,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) != composition(complement(X0),converse(skolemFOFtoCNF_X0))
| meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),composition(complement(X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))),meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),composition(complement(X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))),composition(complement(X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_1184,refute_0_1189]) ).
cnf(refute_0_1191,plain,
( composition(complement(X0),converse(skolemFOFtoCNF_X0)) != meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))
| meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))) != meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),composition(complement(X0),converse(skolemFOFtoCNF_X0)))
| composition(complement(X0),converse(skolemFOFtoCNF_X0)) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),composition(complement(X0),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(X0),converse(skolemFOFtoCNF_X0)),meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),composition(complement(X0),converse(skolemFOFtoCNF_X0)))) ),[0],$fot(meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))))]]) ).
cnf(refute_0_1192,plain,
( composition(complement(X0),converse(skolemFOFtoCNF_X0)) != meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))
| composition(complement(X0),converse(skolemFOFtoCNF_X0)) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),composition(complement(X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0))))),meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),composition(complement(X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))) != meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))
| composition(complement(X0),converse(skolemFOFtoCNF_X0)) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),composition(complement(X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(X0),converse(skolemFOFtoCNF_X0)),meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))) )],[refute_0_1186,refute_0_1192]) ).
cnf(refute_0_1194,plain,
composition(complement(X0),converse(skolemFOFtoCNF_X0)) = meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),composition(complement(X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))),meet(complement(composition(X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(converse(X0)))))) )],[refute_0_1179,refute_0_1193]) ).
cnf(refute_0_1195,plain,
composition(complement(X_456),converse(skolemFOFtoCNF_X0)) = meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1194:[bind(X0,$fot(X_456))]]) ).
cnf(refute_0_1196,plain,
( composition(complement(X_456),converse(skolemFOFtoCNF_X0)) != meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0)))
| meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0))) = composition(complement(X_456),converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(complement(X_456),converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1197,plain,
meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0))) = composition(complement(X_456),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(complement(X_456),converse(skolemFOFtoCNF_X0)),meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0)))) )],[refute_0_1195,refute_0_1196]) ).
cnf(refute_0_1198,plain,
( meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0))) != composition(complement(X_456),converse(skolemFOFtoCNF_X0))
| meet(composition(X_456,converse(skolemFOFtoCNF_X0)),meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0)))) != zero
| meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0)))),zero) ),[0,1],$fot(composition(complement(X_456),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1199,plain,
( meet(composition(X_456,converse(skolemFOFtoCNF_X0)),meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0)))) != zero
| meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0))) )],[refute_0_1197,refute_0_1198]) ).
cnf(refute_0_1200,plain,
meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),meet(complement(composition(X_456,converse(skolemFOFtoCNF_X0))),composition(complement(X_456),converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_1124,refute_0_1199]) ).
cnf(refute_0_1201,plain,
( join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))) != zero
| join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) = meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_1202,plain,
( join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) = meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),zero) )],[refute_0_1200,refute_0_1201]) ).
cnf(refute_0_1203,plain,
join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) = meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) )],[refute_0_1088,refute_0_1202]) ).
cnf(refute_0_1204,plain,
join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) = meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1205,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_1206,plain,
( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
| composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).
cnf(refute_0_1207,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_0_1205,refute_0_1206]) ).
cnf(refute_0_1208,plain,
composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(X_456)),bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X2,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1209,plain,
meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1210,plain,
( composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),[1,1],$fot(composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1211,plain,
( composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_1208,refute_0_1211]) ).
cnf(refute_0_1213,plain,
join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1214,plain,
( join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),[1,1],$fot(meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1215,plain,
( meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_1213,refute_0_1214]) ).
cnf(refute_0_1216,plain,
join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_1212,refute_0_1215]) ).
cnf(refute_0_1217,plain,
zero = meet(zero,join(zero,X_116)),
inference(subst,[],[refute_0_644:[bind(X_36,$fot(X_116)),bind(X_96,$fot(zero))]]) ).
cnf(refute_0_1218,plain,
join(zero,X_116) = X_116,
inference(subst,[],[refute_0_286:[bind(X_98,$fot(X_116))]]) ).
cnf(refute_0_1219,plain,
( join(zero,X_116) != X_116
| zero != meet(zero,join(zero,X_116))
| zero = meet(zero,X_116) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(zero,join(zero,X_116))) ),[1,1],$fot(X_116)]]) ).
cnf(refute_0_1220,plain,
( zero != meet(zero,join(zero,X_116))
| zero = meet(zero,X_116) ),
inference(resolve,[$cnf( $equal(join(zero,X_116),X_116) )],[refute_0_1218,refute_0_1219]) ).
cnf(refute_0_1221,plain,
zero = meet(zero,X_116),
inference(resolve,[$cnf( $equal(zero,meet(zero,join(zero,X_116))) )],[refute_0_1217,refute_0_1220]) ).
cnf(refute_0_1222,plain,
( zero != meet(zero,X_116)
| meet(zero,X_116) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,X_116)))]]) ).
cnf(refute_0_1223,plain,
meet(zero,X_116) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,X_116)) )],[refute_0_1221,refute_0_1222]) ).
cnf(refute_0_1224,plain,
meet(zero,complement(X_456)) = zero,
inference(subst,[],[refute_0_1223:[bind(X_116,$fot(complement(X_456)))]]) ).
cnf(refute_0_1225,plain,
join(X_333,X_332) = join(X_332,X_333),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_333)),bind(X1,$fot(X_332))]]) ).
cnf(refute_0_1226,plain,
( join(X_333,X_332) != join(X_332,X_333)
| join(X_332,X_333) = join(X_333,X_332) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_333,X_332))),bind(Y,$fot(join(X_332,X_333)))]]) ).
cnf(refute_0_1227,plain,
join(X_332,X_333) = join(X_333,X_332),
inference(resolve,[$cnf( $equal(join(X_333,X_332),join(X_332,X_333)) )],[refute_0_1225,refute_0_1226]) ).
cnf(refute_0_1228,plain,
( join(X_332,X_333) != join(X_333,X_332)
| meet(join(X_332,X_333),join(X_332,complement(X_333))) != X_332
| meet(join(X_333,X_332),join(X_332,complement(X_333))) = X_332 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_332,X_333),join(X_332,complement(X_333))),X_332) ),[0,0],$fot(join(X_333,X_332))]]) ).
cnf(refute_0_1229,plain,
( meet(join(X_332,X_333),join(X_332,complement(X_333))) != X_332
| meet(join(X_333,X_332),join(X_332,complement(X_333))) = X_332 ),
inference(resolve,[$cnf( $equal(join(X_332,X_333),join(X_333,X_332)) )],[refute_0_1227,refute_0_1228]) ).
cnf(refute_0_1230,plain,
meet(join(X_333,X_332),join(X_332,complement(X_333))) = X_332,
inference(resolve,[$cnf( $equal(meet(join(X_332,X_333),join(X_332,complement(X_333))),X_332) )],[refute_0_791,refute_0_1229]) ).
cnf(refute_0_1231,plain,
meet(join(meet(X_226,X_225),meet(complement(X_226),X_225)),join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) = meet(complement(X_226),X_225),
inference(subst,[],[refute_0_1230:[bind(X_332,$fot(meet(complement(X_226),X_225))),bind(X_333,$fot(meet(X_226,X_225)))]]) ).
cnf(refute_0_1232,plain,
( X_225 != join(meet(X_226,X_225),meet(complement(X_226),X_225))
| join(meet(X_226,X_225),meet(complement(X_226),X_225)) = X_225 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_225)),bind(Y,$fot(join(meet(X_226,X_225),meet(complement(X_226),X_225))))]]) ).
cnf(refute_0_1233,plain,
join(meet(X_226,X_225),meet(complement(X_226),X_225)) = X_225,
inference(resolve,[$cnf( $equal(X_225,join(meet(X_226,X_225),meet(complement(X_226),X_225))) )],[refute_0_380,refute_0_1232]) ).
cnf(refute_0_1234,plain,
( join(meet(X_226,X_225),meet(complement(X_226),X_225)) != X_225
| meet(join(meet(X_226,X_225),meet(complement(X_226),X_225)),join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) != meet(complement(X_226),X_225)
| meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) = meet(complement(X_226),X_225) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_226,X_225),meet(complement(X_226),X_225)),join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))),meet(complement(X_226),X_225)) ),[0,0],$fot(X_225)]]) ).
cnf(refute_0_1235,plain,
( meet(join(meet(X_226,X_225),meet(complement(X_226),X_225)),join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) != meet(complement(X_226),X_225)
| meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) = meet(complement(X_226),X_225) ),
inference(resolve,[$cnf( $equal(join(meet(X_226,X_225),meet(complement(X_226),X_225)),X_225) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) = meet(complement(X_226),X_225),
inference(resolve,[$cnf( $equal(meet(join(meet(X_226,X_225),meet(complement(X_226),X_225)),join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))),meet(complement(X_226),X_225)) )],[refute_0_1231,refute_0_1235]) ).
cnf(refute_0_1237,plain,
join(complement(X_294),X_295) = complement(complement(join(complement(X_294),X_295))),
inference(subst,[],[refute_0_626:[bind(X1,$fot(join(complement(X_294),X_295)))]]) ).
cnf(refute_0_1238,plain,
meet(X_294,complement(X_295)) = complement(join(complement(X_294),X_295)),
inference(subst,[],[refute_0_318:[bind(X0,$fot(X_294)),bind(X_19,$fot(X_295))]]) ).
cnf(refute_0_1239,plain,
( meet(X_294,complement(X_295)) != complement(join(complement(X_294),X_295))
| complement(join(complement(X_294),X_295)) = meet(X_294,complement(X_295)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_294,complement(X_295)))),bind(Y,$fot(complement(join(complement(X_294),X_295))))]]) ).
cnf(refute_0_1240,plain,
complement(join(complement(X_294),X_295)) = meet(X_294,complement(X_295)),
inference(resolve,[$cnf( $equal(meet(X_294,complement(X_295)),complement(join(complement(X_294),X_295))) )],[refute_0_1238,refute_0_1239]) ).
cnf(refute_0_1241,plain,
( complement(join(complement(X_294),X_295)) != meet(X_294,complement(X_295))
| join(complement(X_294),X_295) != complement(complement(join(complement(X_294),X_295)))
| join(complement(X_294),X_295) = complement(meet(X_294,complement(X_295))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_294),X_295),complement(complement(join(complement(X_294),X_295)))) ),[1,0],$fot(meet(X_294,complement(X_295)))]]) ).
cnf(refute_0_1242,plain,
( join(complement(X_294),X_295) != complement(complement(join(complement(X_294),X_295)))
| join(complement(X_294),X_295) = complement(meet(X_294,complement(X_295))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_294),X_295)),meet(X_294,complement(X_295))) )],[refute_0_1240,refute_0_1241]) ).
cnf(refute_0_1243,plain,
join(complement(X_294),X_295) = complement(meet(X_294,complement(X_295))),
inference(resolve,[$cnf( $equal(join(complement(X_294),X_295),complement(complement(join(complement(X_294),X_295)))) )],[refute_0_1237,refute_0_1242]) ).
cnf(refute_0_1244,plain,
join(complement(X_294),meet(X_444,complement(X_445))) = complement(meet(X_294,complement(meet(X_444,complement(X_445))))),
inference(subst,[],[refute_0_1243:[bind(X_295,$fot(meet(X_444,complement(X_445))))]]) ).
cnf(refute_0_1245,plain,
join(complement(X_444),X_445) = complement(meet(X_444,complement(X_445))),
inference(subst,[],[refute_0_1243:[bind(X_294,$fot(X_444)),bind(X_295,$fot(X_445))]]) ).
cnf(refute_0_1246,plain,
( join(complement(X_444),X_445) != complement(meet(X_444,complement(X_445)))
| complement(meet(X_444,complement(X_445))) = join(complement(X_444),X_445) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_444),X_445))),bind(Y,$fot(complement(meet(X_444,complement(X_445)))))]]) ).
cnf(refute_0_1247,plain,
complement(meet(X_444,complement(X_445))) = join(complement(X_444),X_445),
inference(resolve,[$cnf( $equal(join(complement(X_444),X_445),complement(meet(X_444,complement(X_445)))) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
( complement(meet(X_444,complement(X_445))) != join(complement(X_444),X_445)
| join(complement(X_294),meet(X_444,complement(X_445))) != complement(meet(X_294,complement(meet(X_444,complement(X_445)))))
| join(complement(X_294),meet(X_444,complement(X_445))) = complement(meet(X_294,join(complement(X_444),X_445))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_294),meet(X_444,complement(X_445))),complement(meet(X_294,complement(meet(X_444,complement(X_445)))))) ),[1,0,1],$fot(join(complement(X_444),X_445))]]) ).
cnf(refute_0_1249,plain,
( join(complement(X_294),meet(X_444,complement(X_445))) != complement(meet(X_294,complement(meet(X_444,complement(X_445)))))
| join(complement(X_294),meet(X_444,complement(X_445))) = complement(meet(X_294,join(complement(X_444),X_445))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_444,complement(X_445))),join(complement(X_444),X_445)) )],[refute_0_1247,refute_0_1248]) ).
cnf(refute_0_1250,plain,
join(complement(X_294),meet(X_444,complement(X_445))) = complement(meet(X_294,join(complement(X_444),X_445))),
inference(resolve,[$cnf( $equal(join(complement(X_294),meet(X_444,complement(X_445))),complement(meet(X_294,complement(meet(X_444,complement(X_445)))))) )],[refute_0_1244,refute_0_1249]) ).
cnf(refute_0_1251,plain,
join(complement(meet(X_226,X_225)),meet(X_225,complement(X_226))) = complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))),
inference(subst,[],[refute_0_1250:[bind(X_294,$fot(meet(X_226,X_225))),bind(X_444,$fot(X_225)),bind(X_445,$fot(X_226))]]) ).
cnf(refute_0_1252,plain,
join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(meet(meet(X_559,X_560),complement(meet(X_560,X_559))),X2)) = join(meet(X_559,X_560),X2),
inference(subst,[],[refute_0_334:[bind(X_238,$fot(meet(X_559,X_560))),bind(X_239,$fot(meet(X_560,X_559)))]]) ).
cnf(refute_0_1253,plain,
meet(meet(X_555,X_556),complement(join(meet(X_556,X_555),meet(X_555,X_556)))) = zero,
inference(subst,[],[refute_0_1108:[bind(X_294,$fot(meet(X_555,X_556))),bind(X_42,$fot(meet(X_556,X_555)))]]) ).
cnf(refute_0_1254,plain,
meet(join(X_325,join(X_361,complement(join(X_325,X_361)))),join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) = X_325,
inference(subst,[],[refute_0_790:[bind(X_326,$fot(join(X_361,complement(join(X_325,X_361)))))]]) ).
cnf(refute_0_1255,plain,
top = join(join(X_34,X_35),complement(join(X_34,X_35))),
inference(subst,[],[refute_0_56:[bind(X0,$fot(join(X_34,X_35)))]]) ).
cnf(refute_0_1256,plain,
join(X_34,join(X_35,complement(join(X_34,X_35)))) = join(join(X_34,X_35),complement(join(X_34,X_35))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_34)),bind(X1,$fot(X_35)),bind(X2,$fot(complement(join(X_34,X_35))))]]) ).
cnf(refute_0_1257,plain,
( join(X_34,join(X_35,complement(join(X_34,X_35)))) != join(join(X_34,X_35),complement(join(X_34,X_35)))
| join(join(X_34,X_35),complement(join(X_34,X_35))) = join(X_34,join(X_35,complement(join(X_34,X_35)))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_34,join(X_35,complement(join(X_34,X_35)))))),bind(Y,$fot(join(join(X_34,X_35),complement(join(X_34,X_35)))))]]) ).
cnf(refute_0_1258,plain,
join(join(X_34,X_35),complement(join(X_34,X_35))) = join(X_34,join(X_35,complement(join(X_34,X_35)))),
inference(resolve,[$cnf( $equal(join(X_34,join(X_35,complement(join(X_34,X_35)))),join(join(X_34,X_35),complement(join(X_34,X_35)))) )],[refute_0_1256,refute_0_1257]) ).
cnf(refute_0_1259,plain,
( join(join(X_34,X_35),complement(join(X_34,X_35))) != join(X_34,join(X_35,complement(join(X_34,X_35))))
| top != join(join(X_34,X_35),complement(join(X_34,X_35)))
| top = join(X_34,join(X_35,complement(join(X_34,X_35)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_34,X_35),complement(join(X_34,X_35)))) ),[1],$fot(join(X_34,join(X_35,complement(join(X_34,X_35)))))]]) ).
cnf(refute_0_1260,plain,
( top != join(join(X_34,X_35),complement(join(X_34,X_35)))
| top = join(X_34,join(X_35,complement(join(X_34,X_35)))) ),
inference(resolve,[$cnf( $equal(join(join(X_34,X_35),complement(join(X_34,X_35))),join(X_34,join(X_35,complement(join(X_34,X_35))))) )],[refute_0_1258,refute_0_1259]) ).
cnf(refute_0_1261,plain,
top = join(X_34,join(X_35,complement(join(X_34,X_35)))),
inference(resolve,[$cnf( $equal(top,join(join(X_34,X_35),complement(join(X_34,X_35)))) )],[refute_0_1255,refute_0_1260]) ).
cnf(refute_0_1262,plain,
top = join(X_325,join(X_361,complement(join(X_325,X_361)))),
inference(subst,[],[refute_0_1261:[bind(X_34,$fot(X_325)),bind(X_35,$fot(X_361))]]) ).
cnf(refute_0_1263,plain,
( top != join(X_325,join(X_361,complement(join(X_325,X_361))))
| join(X_325,join(X_361,complement(join(X_325,X_361)))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(X_325,join(X_361,complement(join(X_325,X_361))))))]]) ).
cnf(refute_0_1264,plain,
join(X_325,join(X_361,complement(join(X_325,X_361)))) = top,
inference(resolve,[$cnf( $equal(top,join(X_325,join(X_361,complement(join(X_325,X_361))))) )],[refute_0_1262,refute_0_1263]) ).
cnf(refute_0_1265,plain,
( join(X_325,join(X_361,complement(join(X_325,X_361)))) != top
| meet(join(X_325,join(X_361,complement(join(X_325,X_361)))),join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) != X_325
| meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) = X_325 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_325,join(X_361,complement(join(X_325,X_361)))),join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))),X_325) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1266,plain,
( meet(join(X_325,join(X_361,complement(join(X_325,X_361)))),join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) != X_325
| meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) = X_325 ),
inference(resolve,[$cnf( $equal(join(X_325,join(X_361,complement(join(X_325,X_361)))),top) )],[refute_0_1264,refute_0_1265]) ).
cnf(refute_0_1267,plain,
meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) = X_325,
inference(resolve,[$cnf( $equal(meet(join(X_325,join(X_361,complement(join(X_325,X_361)))),join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))),X_325) )],[refute_0_1254,refute_0_1266]) ).
cnf(refute_0_1268,plain,
complement(join(X_361,complement(join(X_325,X_361)))) = meet(complement(X_361),join(X_325,X_361)),
inference(subst,[],[refute_0_365:[bind(X1,$fot(join(X_325,X_361))),bind(X_19,$fot(X_361))]]) ).
cnf(refute_0_1269,plain,
join(X_325,complement(join(X_361,complement(join(X_325,X_361))))) = join(X_325,complement(join(X_361,complement(join(X_325,X_361))))),
introduced(tautology,[refl,[$fot(join(X_325,complement(join(X_361,complement(join(X_325,X_361))))))]]) ).
cnf(refute_0_1270,plain,
( complement(join(X_361,complement(join(X_325,X_361)))) != meet(complement(X_361),join(X_325,X_361))
| join(X_325,complement(join(X_361,complement(join(X_325,X_361))))) != join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))
| join(X_325,complement(join(X_361,complement(join(X_325,X_361))))) = join(X_325,meet(complement(X_361),join(X_325,X_361))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_325,complement(join(X_361,complement(join(X_325,X_361))))),join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) ),[1,1],$fot(meet(complement(X_361),join(X_325,X_361)))]]) ).
cnf(refute_0_1271,plain,
( complement(join(X_361,complement(join(X_325,X_361)))) != meet(complement(X_361),join(X_325,X_361))
| join(X_325,complement(join(X_361,complement(join(X_325,X_361))))) = join(X_325,meet(complement(X_361),join(X_325,X_361))) ),
inference(resolve,[$cnf( $equal(join(X_325,complement(join(X_361,complement(join(X_325,X_361))))),join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) )],[refute_0_1269,refute_0_1270]) ).
cnf(refute_0_1272,plain,
join(X_325,complement(join(X_361,complement(join(X_325,X_361))))) = join(X_325,meet(complement(X_361),join(X_325,X_361))),
inference(resolve,[$cnf( $equal(complement(join(X_361,complement(join(X_325,X_361)))),meet(complement(X_361),join(X_325,X_361))) )],[refute_0_1268,refute_0_1271]) ).
cnf(refute_0_1273,plain,
meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) = join(X_325,complement(join(X_361,complement(join(X_325,X_361))))),
inference(subst,[],[refute_0_305:[bind(X_98,$fot(join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))))]]) ).
cnf(refute_0_1274,plain,
( join(X_325,complement(join(X_361,complement(join(X_325,X_361))))) != join(X_325,meet(complement(X_361),join(X_325,X_361)))
| meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) != join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))
| meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) = join(X_325,meet(complement(X_361),join(X_325,X_361))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))))),bind(Y,$fot(join(X_325,complement(join(X_361,complement(join(X_325,X_361))))))),bind(Z,$fot(join(X_325,meet(complement(X_361),join(X_325,X_361)))))]]) ).
cnf(refute_0_1275,plain,
( join(X_325,complement(join(X_361,complement(join(X_325,X_361))))) != join(X_325,meet(complement(X_361),join(X_325,X_361)))
| meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) = join(X_325,meet(complement(X_361),join(X_325,X_361))) ),
inference(resolve,[$cnf( $equal(meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))),join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) )],[refute_0_1273,refute_0_1274]) ).
cnf(refute_0_1276,plain,
meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) = join(X_325,meet(complement(X_361),join(X_325,X_361))),
inference(resolve,[$cnf( $equal(join(X_325,complement(join(X_361,complement(join(X_325,X_361))))),join(X_325,meet(complement(X_361),join(X_325,X_361)))) )],[refute_0_1272,refute_0_1275]) ).
cnf(refute_0_1277,plain,
( meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) != X_325
| meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) != join(X_325,meet(complement(X_361),join(X_325,X_361)))
| join(X_325,meet(complement(X_361),join(X_325,X_361))) = X_325 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))),X_325) ),[0],$fot(join(X_325,meet(complement(X_361),join(X_325,X_361))))]]) ).
cnf(refute_0_1278,plain,
( meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))) != X_325
| join(X_325,meet(complement(X_361),join(X_325,X_361))) = X_325 ),
inference(resolve,[$cnf( $equal(meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))),join(X_325,meet(complement(X_361),join(X_325,X_361)))) )],[refute_0_1276,refute_0_1277]) ).
cnf(refute_0_1279,plain,
join(X_325,meet(complement(X_361),join(X_325,X_361))) = X_325,
inference(resolve,[$cnf( $equal(meet(top,join(X_325,complement(join(X_361,complement(join(X_325,X_361)))))),X_325) )],[refute_0_1267,refute_0_1278]) ).
cnf(refute_0_1280,plain,
join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),join(meet(X_226,X_225),meet(complement(X_226),X_225)))) = meet(X_226,X_225),
inference(subst,[],[refute_0_1279:[bind(X_325,$fot(meet(X_226,X_225))),bind(X_361,$fot(meet(complement(X_226),X_225)))]]) ).
cnf(refute_0_1281,plain,
( join(meet(X_226,X_225),meet(complement(X_226),X_225)) != X_225
| join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),join(meet(X_226,X_225),meet(complement(X_226),X_225)))) != meet(X_226,X_225)
| join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)) = meet(X_226,X_225) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),join(meet(X_226,X_225),meet(complement(X_226),X_225)))),meet(X_226,X_225)) ),[0,1,1],$fot(X_225)]]) ).
cnf(refute_0_1282,plain,
( join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),join(meet(X_226,X_225),meet(complement(X_226),X_225)))) != meet(X_226,X_225)
| join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)) = meet(X_226,X_225) ),
inference(resolve,[$cnf( $equal(join(meet(X_226,X_225),meet(complement(X_226),X_225)),X_225) )],[refute_0_1233,refute_0_1281]) ).
cnf(refute_0_1283,plain,
join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)) = meet(X_226,X_225),
inference(resolve,[$cnf( $equal(join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),join(meet(X_226,X_225),meet(complement(X_226),X_225)))),meet(X_226,X_225)) )],[refute_0_1280,refute_0_1282]) ).
cnf(refute_0_1284,plain,
complement(complement(X_226)) = X_226,
inference(subst,[],[refute_0_628:[bind(X1,$fot(X_226))]]) ).
cnf(refute_0_1285,plain,
meet(X_225,complement(complement(X_226))) = meet(X_225,complement(complement(X_226))),
introduced(tautology,[refl,[$fot(meet(X_225,complement(complement(X_226))))]]) ).
cnf(refute_0_1286,plain,
( complement(complement(X_226)) != X_226
| meet(X_225,complement(complement(X_226))) != meet(X_225,complement(complement(X_226)))
| meet(X_225,complement(complement(X_226))) = meet(X_225,X_226) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_225,complement(complement(X_226))),meet(X_225,complement(complement(X_226)))) ),[1,1],$fot(X_226)]]) ).
cnf(refute_0_1287,plain,
( complement(complement(X_226)) != X_226
| meet(X_225,complement(complement(X_226))) = meet(X_225,X_226) ),
inference(resolve,[$cnf( $equal(meet(X_225,complement(complement(X_226))),meet(X_225,complement(complement(X_226)))) )],[refute_0_1285,refute_0_1286]) ).
cnf(refute_0_1288,plain,
meet(X_225,complement(complement(X_226))) = meet(X_225,X_226),
inference(resolve,[$cnf( $equal(complement(complement(X_226)),X_226) )],[refute_0_1284,refute_0_1287]) ).
cnf(refute_0_1289,plain,
meet(X_451,complement(meet(X_97,X_451))) = join(meet(X_97,meet(X_451,complement(meet(X_97,X_451)))),meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))),
inference(subst,[],[refute_0_328:[bind(X_96,$fot(meet(X_451,complement(meet(X_97,X_451)))))]]) ).
cnf(refute_0_1290,plain,
meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) = complement(join(complement(X_294),join(complement(X_8),meet(X_294,X_8)))),
inference(subst,[],[refute_0_318:[bind(X0,$fot(X_294)),bind(X_19,$fot(join(complement(X_8),meet(X_294,X_8))))]]) ).
cnf(refute_0_1291,plain,
top = join(complement(X_294),join(complement(X_8),meet(X_294,X_8))),
inference(subst,[],[refute_0_422:[bind(X_7,$fot(X_294))]]) ).
cnf(refute_0_1292,plain,
( top != join(complement(X_294),join(complement(X_8),meet(X_294,X_8)))
| join(complement(X_294),join(complement(X_8),meet(X_294,X_8))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_294),join(complement(X_8),meet(X_294,X_8)))))]]) ).
cnf(refute_0_1293,plain,
join(complement(X_294),join(complement(X_8),meet(X_294,X_8))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_294),join(complement(X_8),meet(X_294,X_8)))) )],[refute_0_1291,refute_0_1292]) ).
cnf(refute_0_1294,plain,
( join(complement(X_294),join(complement(X_8),meet(X_294,X_8))) != top
| meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) != complement(join(complement(X_294),join(complement(X_8),meet(X_294,X_8))))
| meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))),complement(join(complement(X_294),join(complement(X_8),meet(X_294,X_8))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1295,plain,
( meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) != complement(join(complement(X_294),join(complement(X_8),meet(X_294,X_8))))
| meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_294),join(complement(X_8),meet(X_294,X_8))),top) )],[refute_0_1293,refute_0_1294]) ).
cnf(refute_0_1296,plain,
meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))),complement(join(complement(X_294),join(complement(X_8),meet(X_294,X_8))))) )],[refute_0_1290,refute_0_1295]) ).
cnf(refute_0_1297,plain,
complement(join(complement(X_8),meet(X_294,X_8))) = meet(X_8,complement(meet(X_294,X_8))),
inference(subst,[],[refute_0_320:[bind(X0,$fot(X_8)),bind(X_19,$fot(meet(X_294,X_8)))]]) ).
cnf(refute_0_1298,plain,
meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) = meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))),
introduced(tautology,[refl,[$fot(meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))))]]) ).
cnf(refute_0_1299,plain,
( complement(join(complement(X_8),meet(X_294,X_8))) != meet(X_8,complement(meet(X_294,X_8)))
| meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) != meet(X_294,complement(join(complement(X_8),meet(X_294,X_8))))
| meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) = meet(X_294,meet(X_8,complement(meet(X_294,X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))),meet(X_294,complement(join(complement(X_8),meet(X_294,X_8))))) ),[1,1],$fot(meet(X_8,complement(meet(X_294,X_8))))]]) ).
cnf(refute_0_1300,plain,
( complement(join(complement(X_8),meet(X_294,X_8))) != meet(X_8,complement(meet(X_294,X_8)))
| meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) = meet(X_294,meet(X_8,complement(meet(X_294,X_8)))) ),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))),meet(X_294,complement(join(complement(X_8),meet(X_294,X_8))))) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) = meet(X_294,meet(X_8,complement(meet(X_294,X_8)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_8),meet(X_294,X_8))),meet(X_8,complement(meet(X_294,X_8)))) )],[refute_0_1297,refute_0_1300]) ).
cnf(refute_0_1302,plain,
( meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) != complement(top)
| meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) != meet(X_294,meet(X_8,complement(meet(X_294,X_8))))
| meet(X_294,meet(X_8,complement(meet(X_294,X_8)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))),complement(top)) ),[0],$fot(meet(X_294,meet(X_8,complement(meet(X_294,X_8)))))]]) ).
cnf(refute_0_1303,plain,
( meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) != complement(top)
| meet(X_294,meet(X_8,complement(meet(X_294,X_8)))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))),meet(X_294,meet(X_8,complement(meet(X_294,X_8))))) )],[refute_0_1301,refute_0_1302]) ).
cnf(refute_0_1304,plain,
( complement(top) != zero
| meet(X_294,meet(X_8,complement(meet(X_294,X_8)))) != complement(top)
| meet(X_294,meet(X_8,complement(meet(X_294,X_8)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,meet(X_8,complement(meet(X_294,X_8)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1305,plain,
( meet(X_294,meet(X_8,complement(meet(X_294,X_8)))) != complement(top)
| meet(X_294,meet(X_8,complement(meet(X_294,X_8)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_1304]) ).
cnf(refute_0_1306,plain,
( meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))) != complement(top)
| meet(X_294,meet(X_8,complement(meet(X_294,X_8)))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_294,meet(X_8,complement(meet(X_294,X_8)))),complement(top)) )],[refute_0_1303,refute_0_1305]) ).
cnf(refute_0_1307,plain,
meet(X_294,meet(X_8,complement(meet(X_294,X_8)))) = zero,
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(complement(X_8),meet(X_294,X_8)))),complement(top)) )],[refute_0_1296,refute_0_1306]) ).
cnf(refute_0_1308,plain,
meet(X_97,meet(X_451,complement(meet(X_97,X_451)))) = zero,
inference(subst,[],[refute_0_1307:[bind(X_294,$fot(X_97)),bind(X_8,$fot(X_451))]]) ).
cnf(refute_0_1309,plain,
( meet(X_451,complement(meet(X_97,X_451))) != join(meet(X_97,meet(X_451,complement(meet(X_97,X_451)))),meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)))
| meet(X_97,meet(X_451,complement(meet(X_97,X_451)))) != zero
| meet(X_451,complement(meet(X_97,X_451))) = join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_451,complement(meet(X_97,X_451))),join(meet(X_97,meet(X_451,complement(meet(X_97,X_451)))),meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1310,plain,
( meet(X_451,complement(meet(X_97,X_451))) != join(meet(X_97,meet(X_451,complement(meet(X_97,X_451)))),meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)))
| meet(X_451,complement(meet(X_97,X_451))) = join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) ),
inference(resolve,[$cnf( $equal(meet(X_97,meet(X_451,complement(meet(X_97,X_451)))),zero) )],[refute_0_1308,refute_0_1309]) ).
cnf(refute_0_1311,plain,
meet(X_451,complement(meet(X_97,X_451))) = join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))),
inference(resolve,[$cnf( $equal(meet(X_451,complement(meet(X_97,X_451))),join(meet(X_97,meet(X_451,complement(meet(X_97,X_451)))),meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)))) )],[refute_0_1289,refute_0_1310]) ).
cnf(refute_0_1312,plain,
complement(X1) = join(complement(join(X1,meet(complement(complement(X1)),X_432))),meet(complement(X1),meet(complement(complement(X1)),X_432))),
inference(subst,[],[refute_0_763:[bind(X_97,$fot(meet(complement(complement(X1)),X_432)))]]) ).
cnf(refute_0_1313,plain,
meet(complement(X1),meet(complement(complement(X1)),X_432)) = zero,
inference(subst,[],[refute_0_1123:[bind(X_325,$fot(complement(X1))),bind(X_326,$fot(X_432))]]) ).
cnf(refute_0_1314,plain,
( complement(X1) != join(complement(join(X1,meet(complement(complement(X1)),X_432))),meet(complement(X1),meet(complement(complement(X1)),X_432)))
| meet(complement(X1),meet(complement(complement(X1)),X_432)) != zero
| complement(X1) = join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X1),join(complement(join(X1,meet(complement(complement(X1)),X_432))),meet(complement(X1),meet(complement(complement(X1)),X_432)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1315,plain,
( complement(X1) != join(complement(join(X1,meet(complement(complement(X1)),X_432))),meet(complement(X1),meet(complement(complement(X1)),X_432)))
| complement(X1) = join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(X1),meet(complement(complement(X1)),X_432)),zero) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
complement(X1) = join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,meet(complement(complement(X1)),X_432))),meet(complement(X1),meet(complement(complement(X1)),X_432)))) )],[refute_0_1312,refute_0_1315]) ).
cnf(refute_0_1317,plain,
meet(complement(complement(X1)),X_432) = meet(complement(complement(X1)),X_432),
introduced(tautology,[refl,[$fot(meet(complement(complement(X1)),X_432))]]) ).
cnf(refute_0_1318,plain,
( complement(complement(X1)) != X1
| meet(complement(complement(X1)),X_432) != meet(complement(complement(X1)),X_432)
| meet(complement(complement(X1)),X_432) = meet(X1,X_432) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X1)),X_432),meet(complement(complement(X1)),X_432)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_1319,plain,
( complement(complement(X1)) != X1
| meet(complement(complement(X1)),X_432) = meet(X1,X_432) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X1)),X_432),meet(complement(complement(X1)),X_432)) )],[refute_0_1317,refute_0_1318]) ).
cnf(refute_0_1320,plain,
meet(complement(complement(X1)),X_432) = meet(X1,X_432),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_1319]) ).
cnf(refute_0_1321,plain,
join(X1,meet(complement(complement(X1)),X_432)) = join(X1,meet(complement(complement(X1)),X_432)),
introduced(tautology,[refl,[$fot(join(X1,meet(complement(complement(X1)),X_432)))]]) ).
cnf(refute_0_1322,plain,
( join(X1,meet(complement(complement(X1)),X_432)) != join(X1,meet(complement(complement(X1)),X_432))
| meet(complement(complement(X1)),X_432) != meet(X1,X_432)
| join(X1,meet(complement(complement(X1)),X_432)) = join(X1,meet(X1,X_432)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,meet(complement(complement(X1)),X_432)),join(X1,meet(complement(complement(X1)),X_432))) ),[1,1],$fot(meet(X1,X_432))]]) ).
cnf(refute_0_1323,plain,
( meet(complement(complement(X1)),X_432) != meet(X1,X_432)
| join(X1,meet(complement(complement(X1)),X_432)) = join(X1,meet(X1,X_432)) ),
inference(resolve,[$cnf( $equal(join(X1,meet(complement(complement(X1)),X_432)),join(X1,meet(complement(complement(X1)),X_432))) )],[refute_0_1321,refute_0_1322]) ).
cnf(refute_0_1324,plain,
join(X1,meet(complement(complement(X1)),X_432)) = join(X1,meet(X1,X_432)),
inference(resolve,[$cnf( $equal(meet(complement(complement(X1)),X_432),meet(X1,X_432)) )],[refute_0_1320,refute_0_1323]) ).
cnf(refute_0_1325,plain,
complement(join(X1,meet(complement(complement(X1)),X_432))) = complement(join(X1,meet(complement(complement(X1)),X_432))),
introduced(tautology,[refl,[$fot(complement(join(X1,meet(complement(complement(X1)),X_432))))]]) ).
cnf(refute_0_1326,plain,
( complement(join(X1,meet(complement(complement(X1)),X_432))) != complement(join(X1,meet(complement(complement(X1)),X_432)))
| join(X1,meet(complement(complement(X1)),X_432)) != join(X1,meet(X1,X_432))
| complement(join(X1,meet(complement(complement(X1)),X_432))) = complement(join(X1,meet(X1,X_432))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X1,meet(complement(complement(X1)),X_432))),complement(join(X1,meet(complement(complement(X1)),X_432)))) ),[1,0],$fot(join(X1,meet(X1,X_432)))]]) ).
cnf(refute_0_1327,plain,
( join(X1,meet(complement(complement(X1)),X_432)) != join(X1,meet(X1,X_432))
| complement(join(X1,meet(complement(complement(X1)),X_432))) = complement(join(X1,meet(X1,X_432))) ),
inference(resolve,[$cnf( $equal(complement(join(X1,meet(complement(complement(X1)),X_432))),complement(join(X1,meet(complement(complement(X1)),X_432)))) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
complement(join(X1,meet(complement(complement(X1)),X_432))) = complement(join(X1,meet(X1,X_432))),
inference(resolve,[$cnf( $equal(join(X1,meet(complement(complement(X1)),X_432)),join(X1,meet(X1,X_432))) )],[refute_0_1324,refute_0_1327]) ).
cnf(refute_0_1329,plain,
join(zero,complement(join(X1,meet(complement(complement(X1)),X_432)))) = complement(join(X1,meet(complement(complement(X1)),X_432))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(complement(join(X1,meet(complement(complement(X1)),X_432)))))]]) ).
cnf(refute_0_1330,plain,
join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero) = join(zero,complement(join(X1,meet(complement(complement(X1)),X_432)))),
inference(subst,[],[refute_0_719:[bind(X_250,$fot(zero)),bind(X_251,$fot(complement(join(X1,meet(complement(complement(X1)),X_432)))))]]) ).
cnf(refute_0_1331,plain,
( join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero) != join(zero,complement(join(X1,meet(complement(complement(X1)),X_432))))
| join(zero,complement(join(X1,meet(complement(complement(X1)),X_432)))) != complement(join(X1,meet(complement(complement(X1)),X_432)))
| join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero) = complement(join(X1,meet(complement(complement(X1)),X_432))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero))),bind(Y,$fot(join(zero,complement(join(X1,meet(complement(complement(X1)),X_432)))))),bind(Z,$fot(complement(join(X1,meet(complement(complement(X1)),X_432)))))]]) ).
cnf(refute_0_1332,plain,
( join(zero,complement(join(X1,meet(complement(complement(X1)),X_432)))) != complement(join(X1,meet(complement(complement(X1)),X_432)))
| join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero) = complement(join(X1,meet(complement(complement(X1)),X_432))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero),join(zero,complement(join(X1,meet(complement(complement(X1)),X_432))))) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero) = complement(join(X1,meet(complement(complement(X1)),X_432))),
inference(resolve,[$cnf( $equal(join(zero,complement(join(X1,meet(complement(complement(X1)),X_432)))),complement(join(X1,meet(complement(complement(X1)),X_432)))) )],[refute_0_1329,refute_0_1332]) ).
cnf(refute_0_1334,plain,
( complement(join(X1,meet(complement(complement(X1)),X_432))) != complement(join(X1,meet(X1,X_432)))
| join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero) != complement(join(X1,meet(complement(complement(X1)),X_432)))
| join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero) = complement(join(X1,meet(X1,X_432))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero))),bind(Y,$fot(complement(join(X1,meet(complement(complement(X1)),X_432))))),bind(Z,$fot(complement(join(X1,meet(X1,X_432)))))]]) ).
cnf(refute_0_1335,plain,
( complement(join(X1,meet(complement(complement(X1)),X_432))) != complement(join(X1,meet(X1,X_432)))
| join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero) = complement(join(X1,meet(X1,X_432))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero),complement(join(X1,meet(complement(complement(X1)),X_432)))) )],[refute_0_1333,refute_0_1334]) ).
cnf(refute_0_1336,plain,
join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero) = complement(join(X1,meet(X1,X_432))),
inference(resolve,[$cnf( $equal(complement(join(X1,meet(complement(complement(X1)),X_432))),complement(join(X1,meet(X1,X_432)))) )],[refute_0_1328,refute_0_1335]) ).
cnf(refute_0_1337,plain,
( complement(X1) != join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero)
| join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero) != complement(join(X1,meet(X1,X_432)))
| complement(X1) = complement(join(X1,meet(X1,X_432))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),complement(join(X1,meet(X1,X_432)))) ),[0],$fot(join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero))]]) ).
cnf(refute_0_1338,plain,
( complement(X1) != join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero)
| complement(X1) = complement(join(X1,meet(X1,X_432))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero),complement(join(X1,meet(X1,X_432)))) )],[refute_0_1336,refute_0_1337]) ).
cnf(refute_0_1339,plain,
complement(X1) = complement(join(X1,meet(X1,X_432))),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,meet(complement(complement(X1)),X_432))),zero)) )],[refute_0_1316,refute_0_1338]) ).
cnf(refute_0_1340,plain,
( complement(X1) != complement(join(X1,meet(X1,X_432)))
| complement(join(X1,meet(X1,X_432))) = complement(X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X1))),bind(Y,$fot(complement(join(X1,meet(X1,X_432)))))]]) ).
cnf(refute_0_1341,plain,
complement(join(X1,meet(X1,X_432))) = complement(X1),
inference(resolve,[$cnf( $equal(complement(X1),complement(join(X1,meet(X1,X_432)))) )],[refute_0_1339,refute_0_1340]) ).
cnf(refute_0_1342,plain,
complement(join(X_97,meet(X_97,X_451))) = complement(X_97),
inference(subst,[],[refute_0_1341:[bind(X1,$fot(X_97)),bind(X_432,$fot(X_451))]]) ).
cnf(refute_0_1343,plain,
meet(X_451,complement(join(X_97,meet(X_97,X_451)))) = meet(X_451,complement(join(X_97,meet(X_97,X_451)))),
introduced(tautology,[refl,[$fot(meet(X_451,complement(join(X_97,meet(X_97,X_451)))))]]) ).
cnf(refute_0_1344,plain,
( complement(join(X_97,meet(X_97,X_451))) != complement(X_97)
| meet(X_451,complement(join(X_97,meet(X_97,X_451)))) != meet(X_451,complement(join(X_97,meet(X_97,X_451))))
| meet(X_451,complement(join(X_97,meet(X_97,X_451)))) = meet(X_451,complement(X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_451,complement(join(X_97,meet(X_97,X_451)))),meet(X_451,complement(join(X_97,meet(X_97,X_451))))) ),[1,1],$fot(complement(X_97))]]) ).
cnf(refute_0_1345,plain,
( complement(join(X_97,meet(X_97,X_451))) != complement(X_97)
| meet(X_451,complement(join(X_97,meet(X_97,X_451)))) = meet(X_451,complement(X_97)) ),
inference(resolve,[$cnf( $equal(meet(X_451,complement(join(X_97,meet(X_97,X_451)))),meet(X_451,complement(join(X_97,meet(X_97,X_451))))) )],[refute_0_1343,refute_0_1344]) ).
cnf(refute_0_1346,plain,
meet(X_451,complement(join(X_97,meet(X_97,X_451)))) = meet(X_451,complement(X_97)),
inference(resolve,[$cnf( $equal(complement(join(X_97,meet(X_97,X_451))),complement(X_97)) )],[refute_0_1342,refute_0_1345]) ).
cnf(refute_0_1347,plain,
meet(complement(X_19),meet(X_444,complement(X_445))) = complement(join(X_19,complement(meet(X_444,complement(X_445))))),
inference(subst,[],[refute_0_363:[bind(X1,$fot(meet(X_444,complement(X_445))))]]) ).
cnf(refute_0_1348,plain,
( complement(meet(X_444,complement(X_445))) != join(complement(X_444),X_445)
| meet(complement(X_19),meet(X_444,complement(X_445))) != complement(join(X_19,complement(meet(X_444,complement(X_445)))))
| meet(complement(X_19),meet(X_444,complement(X_445))) = complement(join(X_19,join(complement(X_444),X_445))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_19),meet(X_444,complement(X_445))),complement(join(X_19,complement(meet(X_444,complement(X_445)))))) ),[1,0,1],$fot(join(complement(X_444),X_445))]]) ).
cnf(refute_0_1349,plain,
( meet(complement(X_19),meet(X_444,complement(X_445))) != complement(join(X_19,complement(meet(X_444,complement(X_445)))))
| meet(complement(X_19),meet(X_444,complement(X_445))) = complement(join(X_19,join(complement(X_444),X_445))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_444,complement(X_445))),join(complement(X_444),X_445)) )],[refute_0_1247,refute_0_1348]) ).
cnf(refute_0_1350,plain,
meet(complement(X_19),meet(X_444,complement(X_445))) = complement(join(X_19,join(complement(X_444),X_445))),
inference(resolve,[$cnf( $equal(meet(complement(X_19),meet(X_444,complement(X_445))),complement(join(X_19,complement(meet(X_444,complement(X_445)))))) )],[refute_0_1347,refute_0_1349]) ).
cnf(refute_0_1351,plain,
meet(X_294,complement(join(X_34,X_36))) = complement(join(complement(X_294),join(X_34,X_36))),
inference(subst,[],[refute_0_318:[bind(X0,$fot(X_294)),bind(X_19,$fot(join(X_34,X_36)))]]) ).
cnf(refute_0_1352,plain,
join(X_34,join(complement(X_294),X_36)) = join(complement(X_294),join(X_34,X_36)),
inference(subst,[],[refute_0_399:[bind(X_35,$fot(complement(X_294)))]]) ).
cnf(refute_0_1353,plain,
( join(X_34,join(complement(X_294),X_36)) != join(complement(X_294),join(X_34,X_36))
| join(complement(X_294),join(X_34,X_36)) = join(X_34,join(complement(X_294),X_36)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_34,join(complement(X_294),X_36)))),bind(Y,$fot(join(complement(X_294),join(X_34,X_36))))]]) ).
cnf(refute_0_1354,plain,
join(complement(X_294),join(X_34,X_36)) = join(X_34,join(complement(X_294),X_36)),
inference(resolve,[$cnf( $equal(join(X_34,join(complement(X_294),X_36)),join(complement(X_294),join(X_34,X_36))) )],[refute_0_1352,refute_0_1353]) ).
cnf(refute_0_1355,plain,
( join(complement(X_294),join(X_34,X_36)) != join(X_34,join(complement(X_294),X_36))
| meet(X_294,complement(join(X_34,X_36))) != complement(join(complement(X_294),join(X_34,X_36)))
| meet(X_294,complement(join(X_34,X_36))) = complement(join(X_34,join(complement(X_294),X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(join(X_34,X_36))),complement(join(complement(X_294),join(X_34,X_36)))) ),[1,0],$fot(join(X_34,join(complement(X_294),X_36)))]]) ).
cnf(refute_0_1356,plain,
( meet(X_294,complement(join(X_34,X_36))) != complement(join(complement(X_294),join(X_34,X_36)))
| meet(X_294,complement(join(X_34,X_36))) = complement(join(X_34,join(complement(X_294),X_36))) ),
inference(resolve,[$cnf( $equal(join(complement(X_294),join(X_34,X_36)),join(X_34,join(complement(X_294),X_36))) )],[refute_0_1354,refute_0_1355]) ).
cnf(refute_0_1357,plain,
meet(X_294,complement(join(X_34,X_36))) = complement(join(X_34,join(complement(X_294),X_36))),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(X_34,X_36))),complement(join(complement(X_294),join(X_34,X_36)))) )],[refute_0_1351,refute_0_1356]) ).
cnf(refute_0_1358,plain,
( meet(X_294,complement(join(X_34,X_36))) != complement(join(X_34,join(complement(X_294),X_36)))
| complement(join(X_34,join(complement(X_294),X_36))) = meet(X_294,complement(join(X_34,X_36))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_294,complement(join(X_34,X_36))))),bind(Y,$fot(complement(join(X_34,join(complement(X_294),X_36)))))]]) ).
cnf(refute_0_1359,plain,
complement(join(X_34,join(complement(X_294),X_36))) = meet(X_294,complement(join(X_34,X_36))),
inference(resolve,[$cnf( $equal(meet(X_294,complement(join(X_34,X_36))),complement(join(X_34,join(complement(X_294),X_36)))) )],[refute_0_1357,refute_0_1358]) ).
cnf(refute_0_1360,plain,
complement(join(X_19,join(complement(X_444),X_445))) = meet(X_444,complement(join(X_19,X_445))),
inference(subst,[],[refute_0_1359:[bind(X_294,$fot(X_444)),bind(X_34,$fot(X_19)),bind(X_36,$fot(X_445))]]) ).
cnf(refute_0_1361,plain,
( complement(join(X_19,join(complement(X_444),X_445))) != meet(X_444,complement(join(X_19,X_445)))
| meet(complement(X_19),meet(X_444,complement(X_445))) != complement(join(X_19,join(complement(X_444),X_445)))
| meet(complement(X_19),meet(X_444,complement(X_445))) = meet(X_444,complement(join(X_19,X_445))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_19),meet(X_444,complement(X_445))),complement(join(X_19,join(complement(X_444),X_445)))) ),[1],$fot(meet(X_444,complement(join(X_19,X_445))))]]) ).
cnf(refute_0_1362,plain,
( meet(complement(X_19),meet(X_444,complement(X_445))) != complement(join(X_19,join(complement(X_444),X_445)))
| meet(complement(X_19),meet(X_444,complement(X_445))) = meet(X_444,complement(join(X_19,X_445))) ),
inference(resolve,[$cnf( $equal(complement(join(X_19,join(complement(X_444),X_445))),meet(X_444,complement(join(X_19,X_445)))) )],[refute_0_1360,refute_0_1361]) ).
cnf(refute_0_1363,plain,
meet(complement(X_19),meet(X_444,complement(X_445))) = meet(X_444,complement(join(X_19,X_445))),
inference(resolve,[$cnf( $equal(meet(complement(X_19),meet(X_444,complement(X_445))),complement(join(X_19,join(complement(X_444),X_445)))) )],[refute_0_1350,refute_0_1362]) ).
cnf(refute_0_1364,plain,
meet(complement(X_97),meet(X_451,complement(meet(X_97,X_451)))) = meet(X_451,complement(join(X_97,meet(X_97,X_451)))),
inference(subst,[],[refute_0_1363:[bind(X_19,$fot(X_97)),bind(X_444,$fot(X_451)),bind(X_445,$fot(meet(X_97,X_451)))]]) ).
cnf(refute_0_1365,plain,
meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)) = meet(complement(X_97),meet(X_451,complement(meet(X_97,X_451)))),
inference(subst,[],[refute_0_375:[bind(X_225,$fot(complement(X_97))),bind(X_226,$fot(meet(X_451,complement(meet(X_97,X_451)))))]]) ).
cnf(refute_0_1366,plain,
( meet(complement(X_97),meet(X_451,complement(meet(X_97,X_451)))) != meet(X_451,complement(join(X_97,meet(X_97,X_451))))
| meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)) != meet(complement(X_97),meet(X_451,complement(meet(X_97,X_451))))
| meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)) = meet(X_451,complement(join(X_97,meet(X_97,X_451)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)))),bind(Y,$fot(meet(complement(X_97),meet(X_451,complement(meet(X_97,X_451)))))),bind(Z,$fot(meet(X_451,complement(join(X_97,meet(X_97,X_451))))))]]) ).
cnf(refute_0_1367,plain,
( meet(complement(X_97),meet(X_451,complement(meet(X_97,X_451)))) != meet(X_451,complement(join(X_97,meet(X_97,X_451))))
| meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)) = meet(X_451,complement(join(X_97,meet(X_97,X_451)))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)),meet(complement(X_97),meet(X_451,complement(meet(X_97,X_451))))) )],[refute_0_1365,refute_0_1366]) ).
cnf(refute_0_1368,plain,
meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)) = meet(X_451,complement(join(X_97,meet(X_97,X_451)))),
inference(resolve,[$cnf( $equal(meet(complement(X_97),meet(X_451,complement(meet(X_97,X_451)))),meet(X_451,complement(join(X_97,meet(X_97,X_451))))) )],[refute_0_1364,refute_0_1367]) ).
cnf(refute_0_1369,plain,
join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) = meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))))]]) ).
cnf(refute_0_1370,plain,
( join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) != meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))
| meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)) != meet(X_451,complement(join(X_97,meet(X_97,X_451))))
| join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) = meet(X_451,complement(join(X_97,meet(X_97,X_451)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))))),bind(Y,$fot(meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)))),bind(Z,$fot(meet(X_451,complement(join(X_97,meet(X_97,X_451))))))]]) ).
cnf(refute_0_1371,plain,
( meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)) != meet(X_451,complement(join(X_97,meet(X_97,X_451))))
| join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) = meet(X_451,complement(join(X_97,meet(X_97,X_451)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))),meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) )],[refute_0_1369,refute_0_1370]) ).
cnf(refute_0_1372,plain,
join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) = meet(X_451,complement(join(X_97,meet(X_97,X_451)))),
inference(resolve,[$cnf( $equal(meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)),meet(X_451,complement(join(X_97,meet(X_97,X_451))))) )],[refute_0_1368,refute_0_1371]) ).
cnf(refute_0_1373,plain,
( join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) != meet(X_451,complement(join(X_97,meet(X_97,X_451))))
| meet(X_451,complement(join(X_97,meet(X_97,X_451)))) != meet(X_451,complement(X_97))
| join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) = meet(X_451,complement(X_97)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))))),bind(Y,$fot(meet(X_451,complement(join(X_97,meet(X_97,X_451)))))),bind(Z,$fot(meet(X_451,complement(X_97))))]]) ).
cnf(refute_0_1374,plain,
( meet(X_451,complement(join(X_97,meet(X_97,X_451)))) != meet(X_451,complement(X_97))
| join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) = meet(X_451,complement(X_97)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))),meet(X_451,complement(join(X_97,meet(X_97,X_451))))) )],[refute_0_1372,refute_0_1373]) ).
cnf(refute_0_1375,plain,
join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) = meet(X_451,complement(X_97)),
inference(resolve,[$cnf( $equal(meet(X_451,complement(join(X_97,meet(X_97,X_451)))),meet(X_451,complement(X_97))) )],[refute_0_1346,refute_0_1374]) ).
cnf(refute_0_1376,plain,
( join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))) != meet(X_451,complement(X_97))
| meet(X_451,complement(meet(X_97,X_451))) != join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)))
| meet(X_451,complement(meet(X_97,X_451))) = meet(X_451,complement(X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_451,complement(meet(X_97,X_451))),join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)))) ),[1],$fot(meet(X_451,complement(X_97)))]]) ).
cnf(refute_0_1377,plain,
( meet(X_451,complement(meet(X_97,X_451))) != join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)))
| meet(X_451,complement(meet(X_97,X_451))) = meet(X_451,complement(X_97)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97))),meet(X_451,complement(X_97))) )],[refute_0_1375,refute_0_1376]) ).
cnf(refute_0_1378,plain,
meet(X_451,complement(meet(X_97,X_451))) = meet(X_451,complement(X_97)),
inference(resolve,[$cnf( $equal(meet(X_451,complement(meet(X_97,X_451))),join(zero,meet(meet(X_451,complement(meet(X_97,X_451))),complement(X_97)))) )],[refute_0_1311,refute_0_1377]) ).
cnf(refute_0_1379,plain,
meet(X_225,complement(meet(complement(X_226),X_225))) = meet(X_225,complement(complement(X_226))),
inference(subst,[],[refute_0_1378:[bind(X_451,$fot(X_225)),bind(X_97,$fot(complement(X_226)))]]) ).
cnf(refute_0_1380,plain,
meet(complement(meet(complement(X_226),X_225)),X_225) = meet(X_225,complement(meet(complement(X_226),X_225))),
inference(subst,[],[refute_0_41:[bind(X_96,$fot(X_225)),bind(X_97,$fot(complement(meet(complement(X_226),X_225))))]]) ).
cnf(refute_0_1381,plain,
( meet(X_225,complement(meet(complement(X_226),X_225))) != meet(X_225,complement(complement(X_226)))
| meet(complement(meet(complement(X_226),X_225)),X_225) != meet(X_225,complement(meet(complement(X_226),X_225)))
| meet(complement(meet(complement(X_226),X_225)),X_225) = meet(X_225,complement(complement(X_226))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(complement(meet(complement(X_226),X_225)),X_225))),bind(Y,$fot(meet(X_225,complement(meet(complement(X_226),X_225))))),bind(Z,$fot(meet(X_225,complement(complement(X_226)))))]]) ).
cnf(refute_0_1382,plain,
( meet(X_225,complement(meet(complement(X_226),X_225))) != meet(X_225,complement(complement(X_226)))
| meet(complement(meet(complement(X_226),X_225)),X_225) = meet(X_225,complement(complement(X_226))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(X_226),X_225)),X_225),meet(X_225,complement(meet(complement(X_226),X_225)))) )],[refute_0_1380,refute_0_1381]) ).
cnf(refute_0_1383,plain,
meet(complement(meet(complement(X_226),X_225)),X_225) = meet(X_225,complement(complement(X_226))),
inference(resolve,[$cnf( $equal(meet(X_225,complement(meet(complement(X_226),X_225))),meet(X_225,complement(complement(X_226)))) )],[refute_0_1379,refute_0_1382]) ).
cnf(refute_0_1384,plain,
( meet(X_225,complement(complement(X_226))) != meet(X_225,X_226)
| meet(complement(meet(complement(X_226),X_225)),X_225) != meet(X_225,complement(complement(X_226)))
| meet(complement(meet(complement(X_226),X_225)),X_225) = meet(X_225,X_226) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(complement(meet(complement(X_226),X_225)),X_225))),bind(Y,$fot(meet(X_225,complement(complement(X_226))))),bind(Z,$fot(meet(X_225,X_226)))]]) ).
cnf(refute_0_1385,plain,
( meet(X_225,complement(complement(X_226))) != meet(X_225,X_226)
| meet(complement(meet(complement(X_226),X_225)),X_225) = meet(X_225,X_226) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(X_226),X_225)),X_225),meet(X_225,complement(complement(X_226)))) )],[refute_0_1383,refute_0_1384]) ).
cnf(refute_0_1386,plain,
meet(complement(meet(complement(X_226),X_225)),X_225) = meet(X_225,X_226),
inference(resolve,[$cnf( $equal(meet(X_225,complement(complement(X_226))),meet(X_225,X_226)) )],[refute_0_1288,refute_0_1385]) ).
cnf(refute_0_1387,plain,
join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)) = join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)),
introduced(tautology,[refl,[$fot(join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)))]]) ).
cnf(refute_0_1388,plain,
( join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)) != join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225))
| meet(complement(meet(complement(X_226),X_225)),X_225) != meet(X_225,X_226)
| join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)) = join(meet(X_226,X_225),meet(X_225,X_226)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)),join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225))) ),[1,1],$fot(meet(X_225,X_226))]]) ).
cnf(refute_0_1389,plain,
( meet(complement(meet(complement(X_226),X_225)),X_225) != meet(X_225,X_226)
| join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)) = join(meet(X_226,X_225),meet(X_225,X_226)) ),
inference(resolve,[$cnf( $equal(join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)),join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225))) )],[refute_0_1387,refute_0_1388]) ).
cnf(refute_0_1390,plain,
join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)) = join(meet(X_226,X_225),meet(X_225,X_226)),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(X_226),X_225)),X_225),meet(X_225,X_226)) )],[refute_0_1386,refute_0_1389]) ).
cnf(refute_0_1391,plain,
( join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)) != join(meet(X_226,X_225),meet(X_225,X_226))
| join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)) != meet(X_226,X_225)
| join(meet(X_226,X_225),meet(X_225,X_226)) = meet(X_226,X_225) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)),meet(X_226,X_225)) ),[0],$fot(join(meet(X_226,X_225),meet(X_225,X_226)))]]) ).
cnf(refute_0_1392,plain,
( join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)) != meet(X_226,X_225)
| join(meet(X_226,X_225),meet(X_225,X_226)) = meet(X_226,X_225) ),
inference(resolve,[$cnf( $equal(join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)),join(meet(X_226,X_225),meet(X_225,X_226))) )],[refute_0_1390,refute_0_1391]) ).
cnf(refute_0_1393,plain,
join(meet(X_226,X_225),meet(X_225,X_226)) = meet(X_226,X_225),
inference(resolve,[$cnf( $equal(join(meet(X_226,X_225),meet(complement(meet(complement(X_226),X_225)),X_225)),meet(X_226,X_225)) )],[refute_0_1283,refute_0_1392]) ).
cnf(refute_0_1394,plain,
join(meet(X_556,X_555),meet(X_555,X_556)) = meet(X_556,X_555),
inference(subst,[],[refute_0_1393:[bind(X_225,$fot(X_555)),bind(X_226,$fot(X_556))]]) ).
cnf(refute_0_1395,plain,
( join(meet(X_556,X_555),meet(X_555,X_556)) != meet(X_556,X_555)
| meet(meet(X_555,X_556),complement(join(meet(X_556,X_555),meet(X_555,X_556)))) != zero
| meet(meet(X_555,X_556),complement(meet(X_556,X_555))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_555,X_556),complement(join(meet(X_556,X_555),meet(X_555,X_556)))),zero) ),[0,1,0],$fot(meet(X_556,X_555))]]) ).
cnf(refute_0_1396,plain,
( meet(meet(X_555,X_556),complement(join(meet(X_556,X_555),meet(X_555,X_556)))) != zero
| meet(meet(X_555,X_556),complement(meet(X_556,X_555))) = zero ),
inference(resolve,[$cnf( $equal(join(meet(X_556,X_555),meet(X_555,X_556)),meet(X_556,X_555)) )],[refute_0_1394,refute_0_1395]) ).
cnf(refute_0_1397,plain,
meet(meet(X_555,X_556),complement(meet(X_556,X_555))) = zero,
inference(resolve,[$cnf( $equal(meet(meet(X_555,X_556),complement(join(meet(X_556,X_555),meet(X_555,X_556)))),zero) )],[refute_0_1253,refute_0_1396]) ).
cnf(refute_0_1398,plain,
meet(meet(X_559,X_560),complement(meet(X_560,X_559))) = zero,
inference(subst,[],[refute_0_1397:[bind(X_555,$fot(X_559)),bind(X_556,$fot(X_560))]]) ).
cnf(refute_0_1399,plain,
( join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(meet(meet(X_559,X_560),complement(meet(X_560,X_559))),X2)) != join(meet(X_559,X_560),X2)
| meet(meet(X_559,X_560),complement(meet(X_560,X_559))) != zero
| join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) = join(meet(X_559,X_560),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(meet(meet(X_559,X_560),complement(meet(X_560,X_559))),X2)),join(meet(X_559,X_560),X2)) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_1400,plain,
( join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(meet(meet(X_559,X_560),complement(meet(X_560,X_559))),X2)) != join(meet(X_559,X_560),X2)
| join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) = join(meet(X_559,X_560),X2) ),
inference(resolve,[$cnf( $equal(meet(meet(X_559,X_560),complement(meet(X_560,X_559))),zero) )],[refute_0_1398,refute_0_1399]) ).
cnf(refute_0_1401,plain,
join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) = join(meet(X_559,X_560),X2),
inference(resolve,[$cnf( $equal(join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(meet(meet(X_559,X_560),complement(meet(X_560,X_559))),X2)),join(meet(X_559,X_560),X2)) )],[refute_0_1252,refute_0_1400]) ).
cnf(refute_0_1402,plain,
X_117 = meet(X_117,join(X_117,X_116)),
inference(subst,[],[refute_0_644:[bind(X_36,$fot(X_116)),bind(X_96,$fot(X_117))]]) ).
cnf(refute_0_1403,plain,
join(X_116,X_117) = join(X_117,X_116),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_116)),bind(X1,$fot(X_117))]]) ).
cnf(refute_0_1404,plain,
( join(X_116,X_117) != join(X_117,X_116)
| join(X_117,X_116) = join(X_116,X_117) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_116,X_117))),bind(Y,$fot(join(X_117,X_116)))]]) ).
cnf(refute_0_1405,plain,
join(X_117,X_116) = join(X_116,X_117),
inference(resolve,[$cnf( $equal(join(X_116,X_117),join(X_117,X_116)) )],[refute_0_1403,refute_0_1404]) ).
cnf(refute_0_1406,plain,
( X_117 != meet(X_117,join(X_117,X_116))
| join(X_117,X_116) != join(X_116,X_117)
| X_117 = meet(X_117,join(X_116,X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(X_117,meet(X_117,join(X_117,X_116))) ),[1,1],$fot(join(X_116,X_117))]]) ).
cnf(refute_0_1407,plain,
( X_117 != meet(X_117,join(X_117,X_116))
| X_117 = meet(X_117,join(X_116,X_117)) ),
inference(resolve,[$cnf( $equal(join(X_117,X_116),join(X_116,X_117)) )],[refute_0_1405,refute_0_1406]) ).
cnf(refute_0_1408,plain,
X_117 = meet(X_117,join(X_116,X_117)),
inference(resolve,[$cnf( $equal(X_117,meet(X_117,join(X_117,X_116))) )],[refute_0_1402,refute_0_1407]) ).
cnf(refute_0_1409,plain,
meet(X_555,X_556) = meet(meet(X_555,X_556),join(meet(X_556,X_555),meet(X_555,X_556))),
inference(subst,[],[refute_0_1408:[bind(X_116,$fot(meet(X_556,X_555))),bind(X_117,$fot(meet(X_555,X_556)))]]) ).
cnf(refute_0_1410,plain,
( join(meet(X_556,X_555),meet(X_555,X_556)) != meet(X_556,X_555)
| meet(X_555,X_556) != meet(meet(X_555,X_556),join(meet(X_556,X_555),meet(X_555,X_556)))
| meet(X_555,X_556) = meet(meet(X_555,X_556),meet(X_556,X_555)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_555,X_556),meet(meet(X_555,X_556),join(meet(X_556,X_555),meet(X_555,X_556)))) ),[1,1],$fot(meet(X_556,X_555))]]) ).
cnf(refute_0_1411,plain,
( meet(X_555,X_556) != meet(meet(X_555,X_556),join(meet(X_556,X_555),meet(X_555,X_556)))
| meet(X_555,X_556) = meet(meet(X_555,X_556),meet(X_556,X_555)) ),
inference(resolve,[$cnf( $equal(join(meet(X_556,X_555),meet(X_555,X_556)),meet(X_556,X_555)) )],[refute_0_1394,refute_0_1410]) ).
cnf(refute_0_1412,plain,
meet(X_555,X_556) = meet(meet(X_555,X_556),meet(X_556,X_555)),
inference(resolve,[$cnf( $equal(meet(X_555,X_556),meet(meet(X_555,X_556),join(meet(X_556,X_555),meet(X_555,X_556)))) )],[refute_0_1409,refute_0_1411]) ).
cnf(refute_0_1413,plain,
( meet(X_555,X_556) != meet(meet(X_555,X_556),meet(X_556,X_555))
| meet(meet(X_555,X_556),meet(X_556,X_555)) = meet(X_555,X_556) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_555,X_556))),bind(Y,$fot(meet(meet(X_555,X_556),meet(X_556,X_555))))]]) ).
cnf(refute_0_1414,plain,
meet(meet(X_555,X_556),meet(X_556,X_555)) = meet(X_555,X_556),
inference(resolve,[$cnf( $equal(meet(X_555,X_556),meet(meet(X_555,X_556),meet(X_556,X_555))) )],[refute_0_1412,refute_0_1413]) ).
cnf(refute_0_1415,plain,
meet(meet(X_560,X_559),meet(X_559,X_560)) = meet(X_560,X_559),
inference(subst,[],[refute_0_1414:[bind(X_555,$fot(X_560)),bind(X_556,$fot(X_559))]]) ).
cnf(refute_0_1416,plain,
join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))) = join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))),
introduced(tautology,[refl,[$fot(join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))))]]) ).
cnf(refute_0_1417,plain,
( join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))) != join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))
| meet(meet(X_560,X_559),meet(X_559,X_560)) != meet(X_560,X_559)
| join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))) = join(X2,meet(X_560,X_559)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))),join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))) ),[1,1],$fot(meet(X_560,X_559))]]) ).
cnf(refute_0_1418,plain,
( meet(meet(X_560,X_559),meet(X_559,X_560)) != meet(X_560,X_559)
| join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))) = join(X2,meet(X_560,X_559)) ),
inference(resolve,[$cnf( $equal(join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))),join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))) )],[refute_0_1416,refute_0_1417]) ).
cnf(refute_0_1419,plain,
join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))) = join(X2,meet(X_560,X_559)),
inference(resolve,[$cnf( $equal(meet(meet(X_560,X_559),meet(X_559,X_560)),meet(X_560,X_559)) )],[refute_0_1415,refute_0_1418]) ).
cnf(refute_0_1420,plain,
join(zero,join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))) = join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))))]]) ).
cnf(refute_0_1421,plain,
join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(meet(join(X_470,X_469),complement(composition(top,composition(join(X_469,X_470),top)))),X2)) = join(join(X_470,X_469),X2),
inference(subst,[],[refute_0_334:[bind(X_238,$fot(join(X_470,X_469))),bind(X_239,$fot(composition(top,composition(join(X_469,X_470),top))))]]) ).
cnf(refute_0_1422,plain,
meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) = complement(join(complement(X0),composition(top,composition(complement(complement(X0)),top)))),
inference(subst,[],[refute_0_318:[bind(X_19,$fot(composition(top,composition(complement(complement(X0)),top))))]]) ).
cnf(refute_0_1423,plain,
join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),composition(top,complement(meet(X_369,complement(X_370)))))) = join(X_369,composition(top,complement(meet(X_369,complement(X_370))))),
inference(subst,[],[refute_0_334:[bind(X2,$fot(composition(top,complement(meet(X_369,complement(X_370)))))),bind(X_238,$fot(X_369)),bind(X_239,$fot(X_370))]]) ).
cnf(refute_0_1424,plain,
join(composition(top,complement(X_212)),join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212))))) = top,
inference(subst,[],[refute_0_599:[bind(X_34,$fot(composition(top,complement(X_212)))),bind(X_36,$fot(meet(X_212,composition(top,complement(X_212)))))]]) ).
cnf(refute_0_1425,plain,
X_96 = join(meet(X_96,composition(X_58,complement(X_96))),complement(join(complement(X_96),composition(X_58,complement(X_96))))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(X_96)),bind(X1,$fot(composition(X_58,complement(X_96))))]]) ).
cnf(refute_0_1426,plain,
composition(join(X_58,one),complement(X_96)) = join(complement(X_96),composition(X_58,complement(X_96))),
inference(subst,[],[refute_0_165:[bind(X_60,$fot(complement(X_96)))]]) ).
cnf(refute_0_1427,plain,
( composition(join(X_58,one),complement(X_96)) != join(complement(X_96),composition(X_58,complement(X_96)))
| join(complement(X_96),composition(X_58,complement(X_96))) = composition(join(X_58,one),complement(X_96)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(X_58,one),complement(X_96)))),bind(Y,$fot(join(complement(X_96),composition(X_58,complement(X_96)))))]]) ).
cnf(refute_0_1428,plain,
join(complement(X_96),composition(X_58,complement(X_96))) = composition(join(X_58,one),complement(X_96)),
inference(resolve,[$cnf( $equal(composition(join(X_58,one),complement(X_96)),join(complement(X_96),composition(X_58,complement(X_96)))) )],[refute_0_1426,refute_0_1427]) ).
cnf(refute_0_1429,plain,
( X_96 != join(meet(X_96,composition(X_58,complement(X_96))),complement(join(complement(X_96),composition(X_58,complement(X_96)))))
| join(complement(X_96),composition(X_58,complement(X_96))) != composition(join(X_58,one),complement(X_96))
| X_96 = join(meet(X_96,composition(X_58,complement(X_96))),complement(composition(join(X_58,one),complement(X_96)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_96,join(meet(X_96,composition(X_58,complement(X_96))),complement(join(complement(X_96),composition(X_58,complement(X_96)))))) ),[1,1,0],$fot(composition(join(X_58,one),complement(X_96)))]]) ).
cnf(refute_0_1430,plain,
( X_96 != join(meet(X_96,composition(X_58,complement(X_96))),complement(join(complement(X_96),composition(X_58,complement(X_96)))))
| X_96 = join(meet(X_96,composition(X_58,complement(X_96))),complement(composition(join(X_58,one),complement(X_96)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_96),composition(X_58,complement(X_96))),composition(join(X_58,one),complement(X_96))) )],[refute_0_1428,refute_0_1429]) ).
cnf(refute_0_1431,plain,
X_96 = join(meet(X_96,composition(X_58,complement(X_96))),complement(composition(join(X_58,one),complement(X_96)))),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,composition(X_58,complement(X_96))),complement(join(complement(X_96),composition(X_58,complement(X_96)))))) )],[refute_0_1425,refute_0_1430]) ).
cnf(refute_0_1432,plain,
X_211 = join(meet(X_211,composition(top,complement(X_211))),complement(composition(join(top,one),complement(X_211)))),
inference(subst,[],[refute_0_1431:[bind(X_58,$fot(top)),bind(X_96,$fot(X_211))]]) ).
cnf(refute_0_1433,plain,
top = join(top,one),
inference(subst,[],[refute_0_593:[bind(X_34,$fot(one))]]) ).
cnf(refute_0_1434,plain,
( top != join(top,one)
| join(top,one) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,one)))]]) ).
cnf(refute_0_1435,plain,
join(top,one) = top,
inference(resolve,[$cnf( $equal(top,join(top,one)) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
( X_211 != join(meet(X_211,composition(top,complement(X_211))),complement(composition(join(top,one),complement(X_211))))
| join(top,one) != top
| X_211 = join(meet(X_211,composition(top,complement(X_211))),complement(composition(top,complement(X_211)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_211,join(meet(X_211,composition(top,complement(X_211))),complement(composition(join(top,one),complement(X_211))))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_1437,plain,
( X_211 != join(meet(X_211,composition(top,complement(X_211))),complement(composition(join(top,one),complement(X_211))))
| X_211 = join(meet(X_211,composition(top,complement(X_211))),complement(composition(top,complement(X_211)))) ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_0_1435,refute_0_1436]) ).
cnf(refute_0_1438,plain,
X_211 = join(meet(X_211,composition(top,complement(X_211))),complement(composition(top,complement(X_211)))),
inference(resolve,[$cnf( $equal(X_211,join(meet(X_211,composition(top,complement(X_211))),complement(composition(join(top,one),complement(X_211))))) )],[refute_0_1432,refute_0_1437]) ).
cnf(refute_0_1439,plain,
join(meet(X_211,composition(top,complement(X_211))),complement(composition(top,complement(X_211)))) = join(complement(composition(top,complement(X_211))),meet(X_211,composition(top,complement(X_211)))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(composition(top,complement(X_211))))),bind(X1,$fot(meet(X_211,composition(top,complement(X_211)))))]]) ).
cnf(refute_0_1440,plain,
( X_211 != join(meet(X_211,composition(top,complement(X_211))),complement(composition(top,complement(X_211))))
| join(meet(X_211,composition(top,complement(X_211))),complement(composition(top,complement(X_211)))) != join(complement(composition(top,complement(X_211))),meet(X_211,composition(top,complement(X_211))))
| X_211 = join(complement(composition(top,complement(X_211))),meet(X_211,composition(top,complement(X_211)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_211,join(complement(composition(top,complement(X_211))),meet(X_211,composition(top,complement(X_211))))) ),[0],$fot(join(meet(X_211,composition(top,complement(X_211))),complement(composition(top,complement(X_211)))))]]) ).
cnf(refute_0_1441,plain,
( X_211 != join(meet(X_211,composition(top,complement(X_211))),complement(composition(top,complement(X_211))))
| X_211 = join(complement(composition(top,complement(X_211))),meet(X_211,composition(top,complement(X_211)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_211,composition(top,complement(X_211))),complement(composition(top,complement(X_211)))),join(complement(composition(top,complement(X_211))),meet(X_211,composition(top,complement(X_211))))) )],[refute_0_1439,refute_0_1440]) ).
cnf(refute_0_1442,plain,
X_211 = join(complement(composition(top,complement(X_211))),meet(X_211,composition(top,complement(X_211)))),
inference(resolve,[$cnf( $equal(X_211,join(meet(X_211,composition(top,complement(X_211))),complement(composition(top,complement(X_211))))) )],[refute_0_1438,refute_0_1441]) ).
cnf(refute_0_1443,plain,
X_212 = join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212)))),
inference(subst,[],[refute_0_1442:[bind(X_211,$fot(X_212))]]) ).
cnf(refute_0_1444,plain,
( X_212 != join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212))))
| join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212)))) = X_212 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_212)),bind(Y,$fot(join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212))))))]]) ).
cnf(refute_0_1445,plain,
join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212)))) = X_212,
inference(resolve,[$cnf( $equal(X_212,join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212))))) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
( join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212)))) != X_212
| join(composition(top,complement(X_212)),join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212))))) != top
| join(composition(top,complement(X_212)),X_212) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,complement(X_212)),join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212))))),top) ),[0,1],$fot(X_212)]]) ).
cnf(refute_0_1447,plain,
( join(composition(top,complement(X_212)),join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212))))) != top
| join(composition(top,complement(X_212)),X_212) = top ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212)))),X_212) )],[refute_0_1445,refute_0_1446]) ).
cnf(refute_0_1448,plain,
join(composition(top,complement(X_212)),X_212) = top,
inference(resolve,[$cnf( $equal(join(composition(top,complement(X_212)),join(complement(composition(top,complement(X_212))),meet(X_212,composition(top,complement(X_212))))),top) )],[refute_0_1424,refute_0_1447]) ).
cnf(refute_0_1449,plain,
join(composition(top,complement(X_212)),X_212) = join(X_212,composition(top,complement(X_212))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(X_212)),bind(X1,$fot(composition(top,complement(X_212))))]]) ).
cnf(refute_0_1450,plain,
( join(composition(top,complement(X_212)),X_212) != join(X_212,composition(top,complement(X_212)))
| join(composition(top,complement(X_212)),X_212) != top
| join(X_212,composition(top,complement(X_212))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,complement(X_212)),X_212),top) ),[0],$fot(join(X_212,composition(top,complement(X_212))))]]) ).
cnf(refute_0_1451,plain,
( join(composition(top,complement(X_212)),X_212) != top
| join(X_212,composition(top,complement(X_212))) = top ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(X_212)),X_212),join(X_212,composition(top,complement(X_212)))) )],[refute_0_1449,refute_0_1450]) ).
cnf(refute_0_1452,plain,
join(X_212,composition(top,complement(X_212))) = top,
inference(resolve,[$cnf( $equal(join(composition(top,complement(X_212)),X_212),top) )],[refute_0_1448,refute_0_1451]) ).
cnf(refute_0_1453,plain,
join(meet(X_369,complement(X_370)),composition(top,complement(meet(X_369,complement(X_370))))) = top,
inference(subst,[],[refute_0_1452:[bind(X_212,$fot(meet(X_369,complement(X_370))))]]) ).
cnf(refute_0_1454,plain,
( join(meet(X_369,complement(X_370)),composition(top,complement(meet(X_369,complement(X_370))))) != top
| join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),composition(top,complement(meet(X_369,complement(X_370)))))) != join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))
| join(meet(X_370,X_369),top) = join(X_369,composition(top,complement(meet(X_369,complement(X_370))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),composition(top,complement(meet(X_369,complement(X_370)))))),join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1455,plain,
( join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),composition(top,complement(meet(X_369,complement(X_370)))))) != join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))
| join(meet(X_370,X_369),top) = join(X_369,composition(top,complement(meet(X_369,complement(X_370))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_369,complement(X_370)),composition(top,complement(meet(X_369,complement(X_370))))),top) )],[refute_0_1453,refute_0_1454]) ).
cnf(refute_0_1456,plain,
join(meet(X_370,X_369),top) = join(X_369,composition(top,complement(meet(X_369,complement(X_370))))),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),composition(top,complement(meet(X_369,complement(X_370)))))),join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))) )],[refute_0_1423,refute_0_1455]) ).
cnf(refute_0_1457,plain,
join(top,meet(X_370,X_369)) = top,
inference(subst,[],[refute_0_595:[bind(X_34,$fot(meet(X_370,X_369)))]]) ).
cnf(refute_0_1458,plain,
join(meet(X_370,X_369),top) = join(top,meet(X_370,X_369)),
inference(subst,[],[refute_0_719:[bind(X_250,$fot(top)),bind(X_251,$fot(meet(X_370,X_369)))]]) ).
cnf(refute_0_1459,plain,
( join(meet(X_370,X_369),top) != join(top,meet(X_370,X_369))
| join(top,meet(X_370,X_369)) != top
| join(meet(X_370,X_369),top) = top ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(X_370,X_369),top))),bind(Y,$fot(join(top,meet(X_370,X_369)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1460,plain,
( join(top,meet(X_370,X_369)) != top
| join(meet(X_370,X_369),top) = top ),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),top),join(top,meet(X_370,X_369))) )],[refute_0_1458,refute_0_1459]) ).
cnf(refute_0_1461,plain,
join(meet(X_370,X_369),top) = top,
inference(resolve,[$cnf( $equal(join(top,meet(X_370,X_369)),top) )],[refute_0_1457,refute_0_1460]) ).
cnf(refute_0_1462,plain,
( join(meet(X_370,X_369),top) != join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))
| join(meet(X_370,X_369),top) != top
| top = join(X_369,composition(top,complement(meet(X_369,complement(X_370))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_370,X_369),top),join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1463,plain,
( join(meet(X_370,X_369),top) != join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))
| top = join(X_369,composition(top,complement(meet(X_369,complement(X_370))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),top),top) )],[refute_0_1461,refute_0_1462]) ).
cnf(refute_0_1464,plain,
( join(complement(X_294),X_295) != complement(meet(X_294,complement(X_295)))
| complement(meet(X_294,complement(X_295))) = join(complement(X_294),X_295) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_294),X_295))),bind(Y,$fot(complement(meet(X_294,complement(X_295)))))]]) ).
cnf(refute_0_1465,plain,
complement(meet(X_294,complement(X_295))) = join(complement(X_294),X_295),
inference(resolve,[$cnf( $equal(join(complement(X_294),X_295),complement(meet(X_294,complement(X_295)))) )],[refute_0_1243,refute_0_1464]) ).
cnf(refute_0_1466,plain,
complement(meet(X_369,complement(X_370))) = join(complement(X_369),X_370),
inference(subst,[],[refute_0_1465:[bind(X_294,$fot(X_369)),bind(X_295,$fot(X_370))]]) ).
cnf(refute_0_1467,plain,
composition(top,complement(meet(X_369,complement(X_370)))) = composition(top,complement(meet(X_369,complement(X_370)))),
introduced(tautology,[refl,[$fot(composition(top,complement(meet(X_369,complement(X_370)))))]]) ).
cnf(refute_0_1468,plain,
( complement(meet(X_369,complement(X_370))) != join(complement(X_369),X_370)
| composition(top,complement(meet(X_369,complement(X_370)))) != composition(top,complement(meet(X_369,complement(X_370))))
| composition(top,complement(meet(X_369,complement(X_370)))) = composition(top,join(complement(X_369),X_370)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(meet(X_369,complement(X_370)))),composition(top,complement(meet(X_369,complement(X_370))))) ),[1,1],$fot(join(complement(X_369),X_370))]]) ).
cnf(refute_0_1469,plain,
( complement(meet(X_369,complement(X_370))) != join(complement(X_369),X_370)
| composition(top,complement(meet(X_369,complement(X_370)))) = composition(top,join(complement(X_369),X_370)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(meet(X_369,complement(X_370)))),composition(top,complement(meet(X_369,complement(X_370))))) )],[refute_0_1467,refute_0_1468]) ).
cnf(refute_0_1470,plain,
composition(top,complement(meet(X_369,complement(X_370)))) = composition(top,join(complement(X_369),X_370)),
inference(resolve,[$cnf( $equal(complement(meet(X_369,complement(X_370))),join(complement(X_369),X_370)) )],[refute_0_1466,refute_0_1469]) ).
cnf(refute_0_1471,plain,
join(X_369,composition(top,complement(meet(X_369,complement(X_370))))) = join(X_369,composition(top,complement(meet(X_369,complement(X_370))))),
introduced(tautology,[refl,[$fot(join(X_369,composition(top,complement(meet(X_369,complement(X_370))))))]]) ).
cnf(refute_0_1472,plain,
( composition(top,complement(meet(X_369,complement(X_370)))) != composition(top,join(complement(X_369),X_370))
| join(X_369,composition(top,complement(meet(X_369,complement(X_370))))) != join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))
| join(X_369,composition(top,complement(meet(X_369,complement(X_370))))) = join(X_369,composition(top,join(complement(X_369),X_370))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_369,composition(top,complement(meet(X_369,complement(X_370))))),join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))) ),[1,1],$fot(composition(top,join(complement(X_369),X_370)))]]) ).
cnf(refute_0_1473,plain,
( composition(top,complement(meet(X_369,complement(X_370)))) != composition(top,join(complement(X_369),X_370))
| join(X_369,composition(top,complement(meet(X_369,complement(X_370))))) = join(X_369,composition(top,join(complement(X_369),X_370))) ),
inference(resolve,[$cnf( $equal(join(X_369,composition(top,complement(meet(X_369,complement(X_370))))),join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))) )],[refute_0_1471,refute_0_1472]) ).
cnf(refute_0_1474,plain,
join(X_369,composition(top,complement(meet(X_369,complement(X_370))))) = join(X_369,composition(top,join(complement(X_369),X_370))),
inference(resolve,[$cnf( $equal(composition(top,complement(meet(X_369,complement(X_370)))),composition(top,join(complement(X_369),X_370))) )],[refute_0_1470,refute_0_1473]) ).
cnf(refute_0_1475,plain,
( join(X_369,composition(top,complement(meet(X_369,complement(X_370))))) != join(X_369,composition(top,join(complement(X_369),X_370)))
| top != join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))
| top = join(X_369,composition(top,join(complement(X_369),X_370))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))) ),[1],$fot(join(X_369,composition(top,join(complement(X_369),X_370))))]]) ).
cnf(refute_0_1476,plain,
( top != join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))
| top = join(X_369,composition(top,join(complement(X_369),X_370))) ),
inference(resolve,[$cnf( $equal(join(X_369,composition(top,complement(meet(X_369,complement(X_370))))),join(X_369,composition(top,join(complement(X_369),X_370)))) )],[refute_0_1474,refute_0_1475]) ).
cnf(refute_0_1477,plain,
( join(meet(X_370,X_369),top) != join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))
| top = join(X_369,composition(top,join(complement(X_369),X_370))) ),
inference(resolve,[$cnf( $equal(top,join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))) )],[refute_0_1463,refute_0_1476]) ).
cnf(refute_0_1478,plain,
top = join(X_369,composition(top,join(complement(X_369),X_370))),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),top),join(X_369,composition(top,complement(meet(X_369,complement(X_370)))))) )],[refute_0_1456,refute_0_1477]) ).
cnf(refute_0_1479,plain,
top = join(X_383,composition(top,join(complement(X_383),composition(complement(X_383),top)))),
inference(subst,[],[refute_0_1478:[bind(X_369,$fot(X_383)),bind(X_370,$fot(composition(complement(X_383),top)))]]) ).
cnf(refute_0_1480,plain,
join(X_313,composition(X_313,top)) = complement(complement(join(X_313,composition(X_313,top)))),
inference(subst,[],[refute_0_626:[bind(X1,$fot(join(X_313,composition(X_313,top))))]]) ).
cnf(refute_0_1481,plain,
X_96 = join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(join(complement(X_96),join(complement(X_8),meet(X_96,X_8))))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(X_96)),bind(X1,$fot(join(complement(X_8),meet(X_96,X_8))))]]) ).
cnf(refute_0_1482,plain,
top = join(complement(X_96),join(complement(X_8),meet(X_96,X_8))),
inference(subst,[],[refute_0_422:[bind(X_7,$fot(X_96))]]) ).
cnf(refute_0_1483,plain,
( top != join(complement(X_96),join(complement(X_8),meet(X_96,X_8)))
| join(complement(X_96),join(complement(X_8),meet(X_96,X_8))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_96),join(complement(X_8),meet(X_96,X_8)))))]]) ).
cnf(refute_0_1484,plain,
join(complement(X_96),join(complement(X_8),meet(X_96,X_8))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_96),join(complement(X_8),meet(X_96,X_8)))) )],[refute_0_1482,refute_0_1483]) ).
cnf(refute_0_1485,plain,
( X_96 != join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(join(complement(X_96),join(complement(X_8),meet(X_96,X_8)))))
| join(complement(X_96),join(complement(X_8),meet(X_96,X_8))) != top
| X_96 = join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_96,join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(join(complement(X_96),join(complement(X_8),meet(X_96,X_8)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1486,plain,
( X_96 != join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(join(complement(X_96),join(complement(X_8),meet(X_96,X_8)))))
| X_96 = join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_96),join(complement(X_8),meet(X_96,X_8))),top) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
X_96 = join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(join(complement(X_96),join(complement(X_8),meet(X_96,X_8)))))) )],[refute_0_1481,refute_0_1486]) ).
cnf(refute_0_1488,plain,
join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))) = join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))))]]) ).
cnf(refute_0_1489,plain,
( complement(top) != zero
| join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))) != join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8))))
| join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))) = join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))),join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1490,plain,
( complement(top) != zero
| join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))) = join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))),join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8))))) )],[refute_0_1488,refute_0_1489]) ).
cnf(refute_0_1491,plain,
join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))) = join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_1490]) ).
cnf(refute_0_1492,plain,
join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)) = join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_96,join(complement(X_8),meet(X_96,X_8)))))]]) ).
cnf(refute_0_1493,plain,
( join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))) != join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8))))
| join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)) != join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8))))
| join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)) = join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))))),bind(Z,$fot(join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8))))))]]) ).
cnf(refute_0_1494,plain,
( join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))) != join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8))))
| join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)) = join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)),join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8))))) )],[refute_0_1492,refute_0_1493]) ).
cnf(refute_0_1495,plain,
join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)) = join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_96,join(complement(X_8),meet(X_96,X_8)))),join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8))))) )],[refute_0_1491,refute_0_1494]) ).
cnf(refute_0_1496,plain,
( X_96 != join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top))
| join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)) != join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8))))
| X_96 = join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8))))) ),[0],$fot(join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)))]]) ).
cnf(refute_0_1497,plain,
( X_96 != join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top))
| X_96 = join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top)),join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8))))) )],[refute_0_1495,refute_0_1496]) ).
cnf(refute_0_1498,plain,
X_96 = join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,join(complement(X_8),meet(X_96,X_8))),complement(top))) )],[refute_0_1487,refute_0_1497]) ).
cnf(refute_0_1499,plain,
join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))) = meet(X_96,join(complement(X_8),meet(X_96,X_8))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(meet(X_96,join(complement(X_8),meet(X_96,X_8)))))]]) ).
cnf(refute_0_1500,plain,
( X_96 != join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8))))
| join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))) != meet(X_96,join(complement(X_8),meet(X_96,X_8)))
| X_96 = meet(X_96,join(complement(X_8),meet(X_96,X_8))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,meet(X_96,join(complement(X_8),meet(X_96,X_8)))) ),[0],$fot(join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))))]]) ).
cnf(refute_0_1501,plain,
( X_96 != join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8))))
| X_96 = meet(X_96,join(complement(X_8),meet(X_96,X_8))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8)))),meet(X_96,join(complement(X_8),meet(X_96,X_8)))) )],[refute_0_1499,refute_0_1500]) ).
cnf(refute_0_1502,plain,
X_96 = meet(X_96,join(complement(X_8),meet(X_96,X_8))),
inference(resolve,[$cnf( $equal(X_96,join(zero,meet(X_96,join(complement(X_8),meet(X_96,X_8))))) )],[refute_0_1498,refute_0_1501]) ).
cnf(refute_0_1503,plain,
X_176 = meet(X_176,join(complement(X_175),meet(X_176,X_175))),
inference(subst,[],[refute_0_1502:[bind(X_8,$fot(X_175)),bind(X_96,$fot(X_176))]]) ).
cnf(refute_0_1504,plain,
meet(X_175,X_176) = meet(X_176,X_175),
inference(subst,[],[refute_0_40:[bind(X_7,$fot(X_175)),bind(X_8,$fot(X_176))]]) ).
cnf(refute_0_1505,plain,
( meet(X_175,X_176) != meet(X_176,X_175)
| meet(X_176,X_175) = meet(X_175,X_176) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_175,X_176))),bind(Y,$fot(meet(X_176,X_175)))]]) ).
cnf(refute_0_1506,plain,
meet(X_176,X_175) = meet(X_175,X_176),
inference(resolve,[$cnf( $equal(meet(X_175,X_176),meet(X_176,X_175)) )],[refute_0_1504,refute_0_1505]) ).
cnf(refute_0_1507,plain,
( X_176 != meet(X_176,join(complement(X_175),meet(X_176,X_175)))
| meet(X_176,X_175) != meet(X_175,X_176)
| X_176 = meet(X_176,join(complement(X_175),meet(X_175,X_176))) ),
introduced(tautology,[equality,[$cnf( $equal(X_176,meet(X_176,join(complement(X_175),meet(X_176,X_175)))) ),[1,1,1],$fot(meet(X_175,X_176))]]) ).
cnf(refute_0_1508,plain,
( X_176 != meet(X_176,join(complement(X_175),meet(X_176,X_175)))
| X_176 = meet(X_176,join(complement(X_175),meet(X_175,X_176))) ),
inference(resolve,[$cnf( $equal(meet(X_176,X_175),meet(X_175,X_176)) )],[refute_0_1506,refute_0_1507]) ).
cnf(refute_0_1509,plain,
X_176 = meet(X_176,join(complement(X_175),meet(X_175,X_176))),
inference(resolve,[$cnf( $equal(X_176,meet(X_176,join(complement(X_175),meet(X_176,X_175)))) )],[refute_0_1503,refute_0_1508]) ).
cnf(refute_0_1510,plain,
complement(composition(X_175,top)) = meet(complement(composition(X_175,top)),join(complement(X_175),meet(X_175,complement(composition(X_175,top))))),
inference(subst,[],[refute_0_1509:[bind(X_176,$fot(complement(composition(X_175,top))))]]) ).
cnf(refute_0_1511,plain,
meet(X_294,complement(composition(X_294,top))) = complement(join(complement(X_294),composition(X_294,top))),
inference(subst,[],[refute_0_318:[bind(X0,$fot(X_294)),bind(X_19,$fot(composition(X_294,top)))]]) ).
cnf(refute_0_1512,plain,
converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) = converse(join(complement(converse(X_216)),converse(composition(X_216,top)))),
inference(subst,[],[refute_0_830:[bind(X_25,$fot(complement(converse(X_216)))),bind(X_26,$fot(converse(composition(X_216,top))))]]) ).
cnf(refute_0_1513,plain,
join(complement(X1),composition(top,complement(complement(X1)))) = top,
inference(subst,[],[refute_0_1452:[bind(X_212,$fot(complement(X1)))]]) ).
cnf(refute_0_1514,plain,
( complement(complement(X1)) != X1
| join(complement(X1),composition(top,complement(complement(X1)))) != top
| join(complement(X1),composition(top,X1)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(top,complement(complement(X1)))),top) ),[0,1,1],$fot(X1)]]) ).
cnf(refute_0_1515,plain,
( join(complement(X1),composition(top,complement(complement(X1)))) != top
| join(complement(X1),composition(top,X1)) = top ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_1514]) ).
cnf(refute_0_1516,plain,
join(complement(X1),composition(top,X1)) = top,
inference(resolve,[$cnf( $equal(join(complement(X1),composition(top,complement(complement(X1)))),top) )],[refute_0_1513,refute_0_1515]) ).
cnf(refute_0_1517,plain,
join(complement(converse(X_11)),composition(top,converse(X_11))) = top,
inference(subst,[],[refute_0_1516:[bind(X1,$fot(converse(X_11)))]]) ).
cnf(refute_0_1518,plain,
converse(composition(X_11,converse(top))) = composition(top,converse(X_11)),
inference(subst,[],[refute_0_1175:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1519,plain,
( converse(composition(X_11,converse(top))) != composition(top,converse(X_11))
| converse(top) != top
| converse(composition(X_11,top)) = composition(top,converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,converse(top))),composition(top,converse(X_11))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_1520,plain,
( converse(composition(X_11,converse(top))) != composition(top,converse(X_11))
| converse(composition(X_11,top)) = composition(top,converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_893,refute_0_1519]) ).
cnf(refute_0_1521,plain,
converse(composition(X_11,top)) = composition(top,converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,converse(top))),composition(top,converse(X_11))) )],[refute_0_1518,refute_0_1520]) ).
cnf(refute_0_1522,plain,
( converse(composition(X_11,top)) != composition(top,converse(X_11))
| composition(top,converse(X_11)) = converse(composition(X_11,top)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(X_11,top)))),bind(Y,$fot(composition(top,converse(X_11))))]]) ).
cnf(refute_0_1523,plain,
composition(top,converse(X_11)) = converse(composition(X_11,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,top)),composition(top,converse(X_11))) )],[refute_0_1521,refute_0_1522]) ).
cnf(refute_0_1524,plain,
( composition(top,converse(X_11)) != converse(composition(X_11,top))
| join(complement(converse(X_11)),composition(top,converse(X_11))) != top
| join(complement(converse(X_11)),converse(composition(X_11,top))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_11)),composition(top,converse(X_11))),top) ),[0,1],$fot(converse(composition(X_11,top)))]]) ).
cnf(refute_0_1525,plain,
( join(complement(converse(X_11)),composition(top,converse(X_11))) != top
| join(complement(converse(X_11)),converse(composition(X_11,top))) = top ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_11)),converse(composition(X_11,top))) )],[refute_0_1523,refute_0_1524]) ).
cnf(refute_0_1526,plain,
join(complement(converse(X_11)),converse(composition(X_11,top))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(X_11)),composition(top,converse(X_11))),top) )],[refute_0_1517,refute_0_1525]) ).
cnf(refute_0_1527,plain,
join(complement(converse(X_216)),converse(composition(X_216,top))) = top,
inference(subst,[],[refute_0_1526:[bind(X_11,$fot(X_216))]]) ).
cnf(refute_0_1528,plain,
( converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) != converse(join(complement(converse(X_216)),converse(composition(X_216,top))))
| join(complement(converse(X_216)),converse(composition(X_216,top))) != top
| converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(X_216,top)),complement(converse(X_216)))),converse(join(complement(converse(X_216)),converse(composition(X_216,top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1529,plain,
( converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) != converse(join(complement(converse(X_216)),converse(composition(X_216,top))))
| converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_216)),converse(composition(X_216,top))),top) )],[refute_0_1527,refute_0_1528]) ).
cnf(refute_0_1530,plain,
converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(X_216,top)),complement(converse(X_216)))),converse(join(complement(converse(X_216)),converse(composition(X_216,top))))) )],[refute_0_1512,refute_0_1529]) ).
cnf(refute_0_1531,plain,
join(converse(complement(converse(X_216))),composition(X_216,top)) = join(composition(X_216,top),converse(complement(converse(X_216)))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(composition(X_216,top))),bind(X1,$fot(converse(complement(converse(X_216)))))]]) ).
cnf(refute_0_1532,plain,
converse(join(complement(converse(X_216)),converse(composition(X_216,top)))) = join(converse(complement(converse(X_216))),composition(X_216,top)),
inference(subst,[],[refute_0_859:[bind(X0,$fot(composition(X_216,top))),bind(X_25,$fot(complement(converse(X_216))))]]) ).
cnf(refute_0_1533,plain,
( converse(join(complement(converse(X_216)),converse(composition(X_216,top)))) != join(converse(complement(converse(X_216))),composition(X_216,top))
| join(converse(complement(converse(X_216))),composition(X_216,top)) != join(composition(X_216,top),converse(complement(converse(X_216))))
| converse(join(complement(converse(X_216)),converse(composition(X_216,top)))) = join(composition(X_216,top),converse(complement(converse(X_216)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(complement(converse(X_216)),converse(composition(X_216,top)))))),bind(Y,$fot(join(converse(complement(converse(X_216))),composition(X_216,top)))),bind(Z,$fot(join(composition(X_216,top),converse(complement(converse(X_216))))))]]) ).
cnf(refute_0_1534,plain,
( join(converse(complement(converse(X_216))),composition(X_216,top)) != join(composition(X_216,top),converse(complement(converse(X_216))))
| converse(join(complement(converse(X_216)),converse(composition(X_216,top)))) = join(composition(X_216,top),converse(complement(converse(X_216)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X_216)),converse(composition(X_216,top)))),join(converse(complement(converse(X_216))),composition(X_216,top))) )],[refute_0_1532,refute_0_1533]) ).
cnf(refute_0_1535,plain,
converse(join(complement(converse(X_216)),converse(composition(X_216,top)))) = join(composition(X_216,top),converse(complement(converse(X_216)))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_216))),composition(X_216,top)),join(composition(X_216,top),converse(complement(converse(X_216))))) )],[refute_0_1531,refute_0_1534]) ).
cnf(refute_0_1536,plain,
( converse(join(complement(converse(X_216)),converse(composition(X_216,top)))) != join(composition(X_216,top),converse(complement(converse(X_216))))
| converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) != converse(join(complement(converse(X_216)),converse(composition(X_216,top))))
| converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) = join(composition(X_216,top),converse(complement(converse(X_216)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(converse(composition(X_216,top)),complement(converse(X_216)))))),bind(Y,$fot(converse(join(complement(converse(X_216)),converse(composition(X_216,top)))))),bind(Z,$fot(join(composition(X_216,top),converse(complement(converse(X_216))))))]]) ).
cnf(refute_0_1537,plain,
( converse(join(complement(converse(X_216)),converse(composition(X_216,top)))) != join(composition(X_216,top),converse(complement(converse(X_216))))
| converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) = join(composition(X_216,top),converse(complement(converse(X_216)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(X_216,top)),complement(converse(X_216)))),converse(join(complement(converse(X_216)),converse(composition(X_216,top))))) )],[refute_0_1512,refute_0_1536]) ).
cnf(refute_0_1538,plain,
converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) = join(composition(X_216,top),converse(complement(converse(X_216)))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X_216)),converse(composition(X_216,top)))),join(composition(X_216,top),converse(complement(converse(X_216))))) )],[refute_0_1535,refute_0_1537]) ).
cnf(refute_0_1539,plain,
( converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) != converse(top)
| converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) != join(composition(X_216,top),converse(complement(converse(X_216))))
| join(composition(X_216,top),converse(complement(converse(X_216)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(X_216,top)),complement(converse(X_216)))),converse(top)) ),[0],$fot(join(composition(X_216,top),converse(complement(converse(X_216)))))]]) ).
cnf(refute_0_1540,plain,
( converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) != converse(top)
| join(composition(X_216,top),converse(complement(converse(X_216)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(X_216,top)),complement(converse(X_216)))),join(composition(X_216,top),converse(complement(converse(X_216))))) )],[refute_0_1538,refute_0_1539]) ).
cnf(refute_0_1541,plain,
( converse(top) != top
| join(composition(X_216,top),converse(complement(converse(X_216)))) != converse(top)
| join(composition(X_216,top),converse(complement(converse(X_216)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_216,top),converse(complement(converse(X_216)))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_1542,plain,
( join(composition(X_216,top),converse(complement(converse(X_216)))) != converse(top)
| join(composition(X_216,top),converse(complement(converse(X_216)))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_893,refute_0_1541]) ).
cnf(refute_0_1543,plain,
( converse(join(converse(composition(X_216,top)),complement(converse(X_216)))) != converse(top)
| join(composition(X_216,top),converse(complement(converse(X_216)))) = top ),
inference(resolve,[$cnf( $equal(join(composition(X_216,top),converse(complement(converse(X_216)))),converse(top)) )],[refute_0_1540,refute_0_1542]) ).
cnf(refute_0_1544,plain,
join(composition(X_216,top),converse(complement(converse(X_216)))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(composition(X_216,top)),complement(converse(X_216)))),converse(top)) )],[refute_0_1530,refute_0_1543]) ).
cnf(refute_0_1545,plain,
join(composition(X_216,top),complement(X_216)) = join(complement(X_216),composition(X_216,top)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(X_216))),bind(X1,$fot(composition(X_216,top)))]]) ).
cnf(refute_0_1546,plain,
converse(complement(converse(X_216))) = complement(X_216),
inference(subst,[],[refute_0_971:[bind(X_230,$fot(X_216))]]) ).
cnf(refute_0_1547,plain,
join(composition(X_216,top),converse(complement(converse(X_216)))) = join(composition(X_216,top),converse(complement(converse(X_216)))),
introduced(tautology,[refl,[$fot(join(composition(X_216,top),converse(complement(converse(X_216)))))]]) ).
cnf(refute_0_1548,plain,
( converse(complement(converse(X_216))) != complement(X_216)
| join(composition(X_216,top),converse(complement(converse(X_216)))) != join(composition(X_216,top),converse(complement(converse(X_216))))
| join(composition(X_216,top),converse(complement(converse(X_216)))) = join(composition(X_216,top),complement(X_216)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_216,top),converse(complement(converse(X_216)))),join(composition(X_216,top),converse(complement(converse(X_216))))) ),[1,1],$fot(complement(X_216))]]) ).
cnf(refute_0_1549,plain,
( converse(complement(converse(X_216))) != complement(X_216)
| join(composition(X_216,top),converse(complement(converse(X_216)))) = join(composition(X_216,top),complement(X_216)) ),
inference(resolve,[$cnf( $equal(join(composition(X_216,top),converse(complement(converse(X_216)))),join(composition(X_216,top),converse(complement(converse(X_216))))) )],[refute_0_1547,refute_0_1548]) ).
cnf(refute_0_1550,plain,
join(composition(X_216,top),converse(complement(converse(X_216)))) = join(composition(X_216,top),complement(X_216)),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_216))),complement(X_216)) )],[refute_0_1546,refute_0_1549]) ).
cnf(refute_0_1551,plain,
( join(composition(X_216,top),complement(X_216)) != join(complement(X_216),composition(X_216,top))
| join(composition(X_216,top),converse(complement(converse(X_216)))) != join(composition(X_216,top),complement(X_216))
| join(composition(X_216,top),converse(complement(converse(X_216)))) = join(complement(X_216),composition(X_216,top)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(X_216,top),converse(complement(converse(X_216)))))),bind(Y,$fot(join(composition(X_216,top),complement(X_216)))),bind(Z,$fot(join(complement(X_216),composition(X_216,top))))]]) ).
cnf(refute_0_1552,plain,
( join(composition(X_216,top),complement(X_216)) != join(complement(X_216),composition(X_216,top))
| join(composition(X_216,top),converse(complement(converse(X_216)))) = join(complement(X_216),composition(X_216,top)) ),
inference(resolve,[$cnf( $equal(join(composition(X_216,top),converse(complement(converse(X_216)))),join(composition(X_216,top),complement(X_216))) )],[refute_0_1550,refute_0_1551]) ).
cnf(refute_0_1553,plain,
join(composition(X_216,top),converse(complement(converse(X_216)))) = join(complement(X_216),composition(X_216,top)),
inference(resolve,[$cnf( $equal(join(composition(X_216,top),complement(X_216)),join(complement(X_216),composition(X_216,top))) )],[refute_0_1545,refute_0_1552]) ).
cnf(refute_0_1554,plain,
( join(composition(X_216,top),converse(complement(converse(X_216)))) != join(complement(X_216),composition(X_216,top))
| join(composition(X_216,top),converse(complement(converse(X_216)))) != top
| join(complement(X_216),composition(X_216,top)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_216,top),converse(complement(converse(X_216)))),top) ),[0],$fot(join(complement(X_216),composition(X_216,top)))]]) ).
cnf(refute_0_1555,plain,
( join(composition(X_216,top),converse(complement(converse(X_216)))) != top
| join(complement(X_216),composition(X_216,top)) = top ),
inference(resolve,[$cnf( $equal(join(composition(X_216,top),converse(complement(converse(X_216)))),join(complement(X_216),composition(X_216,top))) )],[refute_0_1553,refute_0_1554]) ).
cnf(refute_0_1556,plain,
join(complement(X_216),composition(X_216,top)) = top,
inference(resolve,[$cnf( $equal(join(composition(X_216,top),converse(complement(converse(X_216)))),top) )],[refute_0_1544,refute_0_1555]) ).
cnf(refute_0_1557,plain,
join(complement(X_294),composition(X_294,top)) = top,
inference(subst,[],[refute_0_1556:[bind(X_216,$fot(X_294))]]) ).
cnf(refute_0_1558,plain,
( join(complement(X_294),composition(X_294,top)) != top
| meet(X_294,complement(composition(X_294,top))) != complement(join(complement(X_294),composition(X_294,top)))
| meet(X_294,complement(composition(X_294,top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(composition(X_294,top))),complement(join(complement(X_294),composition(X_294,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1559,plain,
( meet(X_294,complement(composition(X_294,top))) != complement(join(complement(X_294),composition(X_294,top)))
| meet(X_294,complement(composition(X_294,top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_294),composition(X_294,top)),top) )],[refute_0_1557,refute_0_1558]) ).
cnf(refute_0_1560,plain,
meet(X_294,complement(composition(X_294,top))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_294,complement(composition(X_294,top))),complement(join(complement(X_294),composition(X_294,top)))) )],[refute_0_1511,refute_0_1559]) ).
cnf(refute_0_1561,plain,
( complement(top) != zero
| meet(X_294,complement(composition(X_294,top))) != complement(top)
| meet(X_294,complement(composition(X_294,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_294,complement(composition(X_294,top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1562,plain,
( meet(X_294,complement(composition(X_294,top))) != complement(top)
| meet(X_294,complement(composition(X_294,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_1561]) ).
cnf(refute_0_1563,plain,
meet(X_294,complement(composition(X_294,top))) = zero,
inference(resolve,[$cnf( $equal(meet(X_294,complement(composition(X_294,top))),complement(top)) )],[refute_0_1560,refute_0_1562]) ).
cnf(refute_0_1564,plain,
meet(X_175,complement(composition(X_175,top))) = zero,
inference(subst,[],[refute_0_1563:[bind(X_294,$fot(X_175))]]) ).
cnf(refute_0_1565,plain,
( complement(composition(X_175,top)) != meet(complement(composition(X_175,top)),join(complement(X_175),meet(X_175,complement(composition(X_175,top)))))
| meet(X_175,complement(composition(X_175,top))) != zero
| complement(composition(X_175,top)) = meet(complement(composition(X_175,top)),join(complement(X_175),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(X_175,top)),meet(complement(composition(X_175,top)),join(complement(X_175),meet(X_175,complement(composition(X_175,top)))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_1566,plain,
( complement(composition(X_175,top)) != meet(complement(composition(X_175,top)),join(complement(X_175),meet(X_175,complement(composition(X_175,top)))))
| complement(composition(X_175,top)) = meet(complement(composition(X_175,top)),join(complement(X_175),zero)) ),
inference(resolve,[$cnf( $equal(meet(X_175,complement(composition(X_175,top))),zero) )],[refute_0_1564,refute_0_1565]) ).
cnf(refute_0_1567,plain,
complement(composition(X_175,top)) = meet(complement(composition(X_175,top)),join(complement(X_175),zero)),
inference(resolve,[$cnf( $equal(complement(composition(X_175,top)),meet(complement(composition(X_175,top)),join(complement(X_175),meet(X_175,complement(composition(X_175,top)))))) )],[refute_0_1510,refute_0_1566]) ).
cnf(refute_0_1568,plain,
join(composition(X_175,top),X_175) = join(X_175,composition(X_175,top)),
inference(subst,[],[refute_0_719:[bind(X_250,$fot(X_175)),bind(X_251,$fot(composition(X_175,top)))]]) ).
cnf(refute_0_1569,plain,
join(zero,meet(X_96,top)) = meet(X_96,top),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(meet(X_96,top)))]]) ).
cnf(refute_0_1570,plain,
( X_96 != join(zero,meet(X_96,top))
| join(zero,meet(X_96,top)) != meet(X_96,top)
| X_96 = meet(X_96,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,meet(X_96,top)) ),[0],$fot(join(zero,meet(X_96,top)))]]) ).
cnf(refute_0_1571,plain,
( X_96 != join(zero,meet(X_96,top))
| X_96 = meet(X_96,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_96,top)),meet(X_96,top)) )],[refute_0_1569,refute_0_1570]) ).
cnf(refute_0_1572,plain,
X_96 = meet(X_96,top),
inference(resolve,[$cnf( $equal(X_96,join(zero,meet(X_96,top))) )],[refute_0_277,refute_0_1571]) ).
cnf(refute_0_1573,plain,
( X_96 != meet(X_96,top)
| meet(X_96,top) = X_96 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_96)),bind(Y,$fot(meet(X_96,top)))]]) ).
cnf(refute_0_1574,plain,
meet(X_96,top) = X_96,
inference(resolve,[$cnf( $equal(X_96,meet(X_96,top)) )],[refute_0_1572,refute_0_1573]) ).
cnf(refute_0_1575,plain,
meet(X_175,top) = X_175,
inference(subst,[],[refute_0_1574:[bind(X_96,$fot(X_175))]]) ).
cnf(refute_0_1576,plain,
join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))) = join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))))]]) ).
cnf(refute_0_1577,plain,
( join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))) != join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))
| top != join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))))
| top = join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))))) ),[1],$fot(join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))))]]) ).
cnf(refute_0_1578,plain,
( top != join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))))
| top = join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))),join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))) )],[refute_0_1576,refute_0_1577]) ).
cnf(refute_0_1579,plain,
top = join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))),
inference(resolve,[$cnf( $equal(top,join(zero,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))))) )],[refute_0_544,refute_0_1578]) ).
cnf(refute_0_1580,plain,
complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))) = complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))),
introduced(tautology,[refl,[$fot(complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))))]]) ).
cnf(refute_0_1581,plain,
( complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))) != complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))))
| meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))) != zero
| complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))),complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1582,plain,
( meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))) != zero
| complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))),complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))))) )],[refute_0_1580,refute_0_1581]) ).
cnf(refute_0_1583,plain,
complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))) = complement(zero),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))),zero) )],[refute_0_424,refute_0_1582]) ).
cnf(refute_0_1584,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_97),complement(join(complement(join(complement(X0),complement(X1))),X_97))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(join(complement(X0),complement(X1)))),bind(X1,$fot(X_97))]]) ).
cnf(refute_0_1585,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_97),complement(join(complement(join(complement(X0),complement(X1))),X_97)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_97),complement(join(complement(join(complement(X0),complement(X1))),X_97)))) ),[1,1,0,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_1586,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_97),complement(join(complement(join(complement(X0),complement(X1))),X_97)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_16,refute_0_1585]) ).
cnf(refute_0_1587,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_97),complement(join(complement(join(complement(X0),complement(X1))),X_97)))) )],[refute_0_1584,refute_0_1586]) ).
cnf(refute_0_1588,plain,
meet(join(complement(X0),complement(X1)),X_97) = complement(join(meet(X0,X1),complement(X_97))),
inference(subst,[],[refute_0_67:[bind(X1,$fot(X_97)),bind(X_7,$fot(X0)),bind(X_8,$fot(X1))]]) ).
cnf(refute_0_1589,plain,
join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)) = join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)))]]) ).
cnf(refute_0_1590,plain,
( join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)) != join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97))
| meet(join(complement(X0),complement(X1)),X_97) != complement(join(meet(X0,X1),complement(X_97)))
| join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)) = join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)),join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(X_97))))]]) ).
cnf(refute_0_1591,plain,
( meet(join(complement(X0),complement(X1)),X_97) != complement(join(meet(X0,X1),complement(X_97)))
| join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)) = join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)),join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97))) )],[refute_0_1589,refute_0_1590]) ).
cnf(refute_0_1592,plain,
join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)) = join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),complement(X_97)))) )],[refute_0_1588,refute_0_1591]) ).
cnf(refute_0_1593,plain,
join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))) = join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(join(meet(X0,X1),X_97)))),bind(X1,$fot(meet(join(complement(X0),complement(X1)),X_97)))]]) ).
cnf(refute_0_1594,plain,
( join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)) != join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))
| join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))) != join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97))
| join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))) = join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))))),bind(Y,$fot(join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)))),bind(Z,$fot(join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))))]]) ).
cnf(refute_0_1595,plain,
( join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)) != join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))
| join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))) = join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))),join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97))) )],[refute_0_1593,refute_0_1594]) ).
cnf(refute_0_1596,plain,
join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))) = join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_97)),meet(join(complement(X0),complement(X1)),X_97)),join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))) )],[refute_0_1592,refute_0_1595]) ).
cnf(refute_0_1597,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97)))
| join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))) != join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))) ),[0],$fot(join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))))]]) ).
cnf(refute_0_1598,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97)))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97))),join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))) )],[refute_0_1596,refute_0_1597]) ).
cnf(refute_0_1599,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_97),complement(join(meet(X0,X1),X_97)))) )],[refute_0_1587,refute_0_1598]) ).
cnf(refute_0_1600,plain,
complement(join(meet(X0,X1),complement(X_97))) = meet(complement(meet(X0,X1)),X_97),
inference(subst,[],[refute_0_365:[bind(X1,$fot(X_97)),bind(X_19,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_1601,plain,
join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))) = join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))))]]) ).
cnf(refute_0_1602,plain,
( complement(join(meet(X0,X1),complement(X_97))) != meet(complement(meet(X0,X1)),X_97)
| join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))) != join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))
| join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))) = join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))),join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))) ),[1,1],$fot(meet(complement(meet(X0,X1)),X_97))]]) ).
cnf(refute_0_1603,plain,
( complement(join(meet(X0,X1),complement(X_97))) != meet(complement(meet(X0,X1)),X_97)
| join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))) = join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))),join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))) )],[refute_0_1601,refute_0_1602]) ).
cnf(refute_0_1604,plain,
join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))) = join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97)),
inference(resolve,[$cnf( $equal(complement(join(meet(X0,X1),complement(X_97))),meet(complement(meet(X0,X1)),X_97)) )],[refute_0_1600,refute_0_1603]) ).
cnf(refute_0_1605,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))
| join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))) != join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97))) ),[0],$fot(join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))))]]) ).
cnf(refute_0_1606,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97)))),join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97))) )],[refute_0_1604,refute_0_1605]) ).
cnf(refute_0_1607,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_97)),complement(join(meet(X0,X1),complement(X_97))))) )],[refute_0_1599,refute_0_1606]) ).
cnf(refute_0_1608,plain,
( complement(X1) != join(complement(join(X1,X_97)),meet(complement(X1),X_97))
| join(complement(join(X1,X_97)),meet(complement(X1),X_97)) = complement(X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X1))),bind(Y,$fot(join(complement(join(X1,X_97)),meet(complement(X1),X_97))))]]) ).
cnf(refute_0_1609,plain,
join(complement(join(X1,X_97)),meet(complement(X1),X_97)) = complement(X1),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,X_97)),meet(complement(X1),X_97))) )],[refute_0_763,refute_0_1608]) ).
cnf(refute_0_1610,plain,
join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97)) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_1609:[bind(X1,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_1611,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97))
| join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97)) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97)))]]) ).
cnf(refute_0_1612,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97)),complement(meet(X0,X1))) )],[refute_0_1610,refute_0_1611]) ).
cnf(refute_0_1613,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_97)),meet(complement(meet(X0,X1)),X_97))) )],[refute_0_1607,refute_0_1612]) ).
cnf(refute_0_1614,plain,
join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))) = complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))),
inference(subst,[],[refute_0_1613:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,X1))),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(X1))))]]) ).
cnf(refute_0_1615,plain,
( complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))) != complement(zero)
| join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))) != complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))))
| join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))) = complement(zero) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))))),bind(Y,$fot(complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_1616,plain,
( complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))) != complement(zero)
| join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))),complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1))))) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))) = complement(zero),
inference(resolve,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0,X1),composition(skolemFOFtoCNF_X0,complement(X1)))),complement(zero)) )],[refute_0_1583,refute_0_1616]) ).
cnf(refute_0_1618,plain,
( join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))) != complement(zero)
| top != join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))
| top = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))) ),[1],$fot(complement(zero))]]) ).
cnf(refute_0_1619,plain,
( top != join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))
| top = complement(zero) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1)))),complement(zero)) )],[refute_0_1617,refute_0_1618]) ).
cnf(refute_0_1620,plain,
top = complement(zero),
inference(resolve,[$cnf( $equal(top,join(complement(composition(skolemFOFtoCNF_X0,X1)),complement(composition(skolemFOFtoCNF_X0,complement(X1))))) )],[refute_0_1579,refute_0_1619]) ).
cnf(refute_0_1621,plain,
( top != complement(zero)
| complement(zero) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(complement(zero)))]]) ).
cnf(refute_0_1622,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(top,complement(zero)) )],[refute_0_1620,refute_0_1621]) ).
cnf(refute_0_1623,plain,
meet(X_175,complement(zero)) = meet(X_175,complement(zero)),
introduced(tautology,[refl,[$fot(meet(X_175,complement(zero)))]]) ).
cnf(refute_0_1624,plain,
( complement(zero) != top
| meet(X_175,complement(zero)) != meet(X_175,complement(zero))
| meet(X_175,complement(zero)) = meet(X_175,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_175,complement(zero)),meet(X_175,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1625,plain,
( complement(zero) != top
| meet(X_175,complement(zero)) = meet(X_175,top) ),
inference(resolve,[$cnf( $equal(meet(X_175,complement(zero)),meet(X_175,complement(zero))) )],[refute_0_1623,refute_0_1624]) ).
cnf(refute_0_1626,plain,
meet(X_175,complement(zero)) = meet(X_175,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1622,refute_0_1625]) ).
cnf(refute_0_1627,plain,
( meet(X_175,complement(zero)) != meet(X_175,top)
| meet(X_175,top) != X_175
| meet(X_175,complement(zero)) = X_175 ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(X_175,complement(zero)))),bind(Y,$fot(meet(X_175,top))),bind(Z,$fot(X_175))]]) ).
cnf(refute_0_1628,plain,
( meet(X_175,top) != X_175
| meet(X_175,complement(zero)) = X_175 ),
inference(resolve,[$cnf( $equal(meet(X_175,complement(zero)),meet(X_175,top)) )],[refute_0_1626,refute_0_1627]) ).
cnf(refute_0_1629,plain,
meet(X_175,complement(zero)) = X_175,
inference(resolve,[$cnf( $equal(meet(X_175,top),X_175) )],[refute_0_1575,refute_0_1628]) ).
cnf(refute_0_1630,plain,
join(composition(X_175,top),meet(X_175,complement(zero))) = join(composition(X_175,top),meet(X_175,complement(zero))),
introduced(tautology,[refl,[$fot(join(composition(X_175,top),meet(X_175,complement(zero))))]]) ).
cnf(refute_0_1631,plain,
( join(composition(X_175,top),meet(X_175,complement(zero))) != join(composition(X_175,top),meet(X_175,complement(zero)))
| meet(X_175,complement(zero)) != X_175
| join(composition(X_175,top),meet(X_175,complement(zero))) = join(composition(X_175,top),X_175) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_175,top),meet(X_175,complement(zero))),join(composition(X_175,top),meet(X_175,complement(zero)))) ),[1,1],$fot(X_175)]]) ).
cnf(refute_0_1632,plain,
( meet(X_175,complement(zero)) != X_175
| join(composition(X_175,top),meet(X_175,complement(zero))) = join(composition(X_175,top),X_175) ),
inference(resolve,[$cnf( $equal(join(composition(X_175,top),meet(X_175,complement(zero))),join(composition(X_175,top),meet(X_175,complement(zero)))) )],[refute_0_1630,refute_0_1631]) ).
cnf(refute_0_1633,plain,
join(composition(X_175,top),meet(X_175,complement(zero))) = join(composition(X_175,top),X_175),
inference(resolve,[$cnf( $equal(meet(X_175,complement(zero)),X_175) )],[refute_0_1629,refute_0_1632]) ).
cnf(refute_0_1634,plain,
( join(composition(X_175,top),X_175) != join(X_175,composition(X_175,top))
| join(composition(X_175,top),meet(X_175,complement(zero))) != join(composition(X_175,top),X_175)
| join(composition(X_175,top),meet(X_175,complement(zero))) = join(X_175,composition(X_175,top)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(X_175,top),meet(X_175,complement(zero))))),bind(Y,$fot(join(composition(X_175,top),X_175))),bind(Z,$fot(join(X_175,composition(X_175,top))))]]) ).
cnf(refute_0_1635,plain,
( join(composition(X_175,top),X_175) != join(X_175,composition(X_175,top))
| join(composition(X_175,top),meet(X_175,complement(zero))) = join(X_175,composition(X_175,top)) ),
inference(resolve,[$cnf( $equal(join(composition(X_175,top),meet(X_175,complement(zero))),join(composition(X_175,top),X_175)) )],[refute_0_1633,refute_0_1634]) ).
cnf(refute_0_1636,plain,
join(composition(X_175,top),meet(X_175,complement(zero))) = join(X_175,composition(X_175,top)),
inference(resolve,[$cnf( $equal(join(composition(X_175,top),X_175),join(X_175,composition(X_175,top))) )],[refute_0_1568,refute_0_1635]) ).
cnf(refute_0_1637,plain,
complement(join(composition(X_175,top),meet(X_175,complement(zero)))) = complement(join(composition(X_175,top),meet(X_175,complement(zero)))),
introduced(tautology,[refl,[$fot(complement(join(composition(X_175,top),meet(X_175,complement(zero)))))]]) ).
cnf(refute_0_1638,plain,
( complement(join(composition(X_175,top),meet(X_175,complement(zero)))) != complement(join(composition(X_175,top),meet(X_175,complement(zero))))
| join(composition(X_175,top),meet(X_175,complement(zero))) != join(X_175,composition(X_175,top))
| complement(join(composition(X_175,top),meet(X_175,complement(zero)))) = complement(join(X_175,composition(X_175,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(composition(X_175,top),meet(X_175,complement(zero)))),complement(join(composition(X_175,top),meet(X_175,complement(zero))))) ),[1,0],$fot(join(X_175,composition(X_175,top)))]]) ).
cnf(refute_0_1639,plain,
( join(composition(X_175,top),meet(X_175,complement(zero))) != join(X_175,composition(X_175,top))
| complement(join(composition(X_175,top),meet(X_175,complement(zero)))) = complement(join(X_175,composition(X_175,top))) ),
inference(resolve,[$cnf( $equal(complement(join(composition(X_175,top),meet(X_175,complement(zero)))),complement(join(composition(X_175,top),meet(X_175,complement(zero))))) )],[refute_0_1637,refute_0_1638]) ).
cnf(refute_0_1640,plain,
complement(join(composition(X_175,top),meet(X_175,complement(zero)))) = complement(join(X_175,composition(X_175,top))),
inference(resolve,[$cnf( $equal(join(composition(X_175,top),meet(X_175,complement(zero))),join(X_175,composition(X_175,top))) )],[refute_0_1636,refute_0_1639]) ).
cnf(refute_0_1641,plain,
meet(complement(X_19),join(complement(X_294),X_295)) = complement(join(X_19,complement(join(complement(X_294),X_295)))),
inference(subst,[],[refute_0_363:[bind(X1,$fot(join(complement(X_294),X_295)))]]) ).
cnf(refute_0_1642,plain,
( complement(join(complement(X_294),X_295)) != meet(X_294,complement(X_295))
| meet(complement(X_19),join(complement(X_294),X_295)) != complement(join(X_19,complement(join(complement(X_294),X_295))))
| meet(complement(X_19),join(complement(X_294),X_295)) = complement(join(X_19,meet(X_294,complement(X_295)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_19),join(complement(X_294),X_295)),complement(join(X_19,complement(join(complement(X_294),X_295))))) ),[1,0,1],$fot(meet(X_294,complement(X_295)))]]) ).
cnf(refute_0_1643,plain,
( meet(complement(X_19),join(complement(X_294),X_295)) != complement(join(X_19,complement(join(complement(X_294),X_295))))
| meet(complement(X_19),join(complement(X_294),X_295)) = complement(join(X_19,meet(X_294,complement(X_295)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_294),X_295)),meet(X_294,complement(X_295))) )],[refute_0_1240,refute_0_1642]) ).
cnf(refute_0_1644,plain,
meet(complement(X_19),join(complement(X_294),X_295)) = complement(join(X_19,meet(X_294,complement(X_295)))),
inference(resolve,[$cnf( $equal(meet(complement(X_19),join(complement(X_294),X_295)),complement(join(X_19,complement(join(complement(X_294),X_295))))) )],[refute_0_1641,refute_0_1643]) ).
cnf(refute_0_1645,plain,
meet(complement(composition(X_175,top)),join(complement(X_175),zero)) = complement(join(composition(X_175,top),meet(X_175,complement(zero)))),
inference(subst,[],[refute_0_1644:[bind(X_19,$fot(composition(X_175,top))),bind(X_294,$fot(X_175)),bind(X_295,$fot(zero))]]) ).
cnf(refute_0_1646,plain,
( complement(join(composition(X_175,top),meet(X_175,complement(zero)))) != complement(join(X_175,composition(X_175,top)))
| meet(complement(composition(X_175,top)),join(complement(X_175),zero)) != complement(join(composition(X_175,top),meet(X_175,complement(zero))))
| meet(complement(composition(X_175,top)),join(complement(X_175),zero)) = complement(join(X_175,composition(X_175,top))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(complement(composition(X_175,top)),join(complement(X_175),zero)))),bind(Y,$fot(complement(join(composition(X_175,top),meet(X_175,complement(zero)))))),bind(Z,$fot(complement(join(X_175,composition(X_175,top)))))]]) ).
cnf(refute_0_1647,plain,
( complement(join(composition(X_175,top),meet(X_175,complement(zero)))) != complement(join(X_175,composition(X_175,top)))
| meet(complement(composition(X_175,top)),join(complement(X_175),zero)) = complement(join(X_175,composition(X_175,top))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_175,top)),join(complement(X_175),zero)),complement(join(composition(X_175,top),meet(X_175,complement(zero))))) )],[refute_0_1645,refute_0_1646]) ).
cnf(refute_0_1648,plain,
meet(complement(composition(X_175,top)),join(complement(X_175),zero)) = complement(join(X_175,composition(X_175,top))),
inference(resolve,[$cnf( $equal(complement(join(composition(X_175,top),meet(X_175,complement(zero)))),complement(join(X_175,composition(X_175,top)))) )],[refute_0_1640,refute_0_1647]) ).
cnf(refute_0_1649,plain,
( complement(composition(X_175,top)) != meet(complement(composition(X_175,top)),join(complement(X_175),zero))
| meet(complement(composition(X_175,top)),join(complement(X_175),zero)) != complement(join(X_175,composition(X_175,top)))
| complement(composition(X_175,top)) = complement(join(X_175,composition(X_175,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(X_175,top)),complement(join(X_175,composition(X_175,top)))) ),[0],$fot(meet(complement(composition(X_175,top)),join(complement(X_175),zero)))]]) ).
cnf(refute_0_1650,plain,
( complement(composition(X_175,top)) != meet(complement(composition(X_175,top)),join(complement(X_175),zero))
| complement(composition(X_175,top)) = complement(join(X_175,composition(X_175,top))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_175,top)),join(complement(X_175),zero)),complement(join(X_175,composition(X_175,top)))) )],[refute_0_1648,refute_0_1649]) ).
cnf(refute_0_1651,plain,
complement(composition(X_175,top)) = complement(join(X_175,composition(X_175,top))),
inference(resolve,[$cnf( $equal(complement(composition(X_175,top)),meet(complement(composition(X_175,top)),join(complement(X_175),zero))) )],[refute_0_1567,refute_0_1650]) ).
cnf(refute_0_1652,plain,
complement(composition(X_313,top)) = complement(join(X_313,composition(X_313,top))),
inference(subst,[],[refute_0_1651:[bind(X_175,$fot(X_313))]]) ).
cnf(refute_0_1653,plain,
( complement(composition(X_313,top)) != complement(join(X_313,composition(X_313,top)))
| complement(join(X_313,composition(X_313,top))) = complement(composition(X_313,top)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(composition(X_313,top)))),bind(Y,$fot(complement(join(X_313,composition(X_313,top)))))]]) ).
cnf(refute_0_1654,plain,
complement(join(X_313,composition(X_313,top))) = complement(composition(X_313,top)),
inference(resolve,[$cnf( $equal(complement(composition(X_313,top)),complement(join(X_313,composition(X_313,top)))) )],[refute_0_1652,refute_0_1653]) ).
cnf(refute_0_1655,plain,
( complement(join(X_313,composition(X_313,top))) != complement(composition(X_313,top))
| join(X_313,composition(X_313,top)) != complement(complement(join(X_313,composition(X_313,top))))
| join(X_313,composition(X_313,top)) = complement(complement(composition(X_313,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_313,composition(X_313,top)),complement(complement(join(X_313,composition(X_313,top))))) ),[1,0],$fot(complement(composition(X_313,top)))]]) ).
cnf(refute_0_1656,plain,
( join(X_313,composition(X_313,top)) != complement(complement(join(X_313,composition(X_313,top))))
| join(X_313,composition(X_313,top)) = complement(complement(composition(X_313,top))) ),
inference(resolve,[$cnf( $equal(complement(join(X_313,composition(X_313,top))),complement(composition(X_313,top))) )],[refute_0_1654,refute_0_1655]) ).
cnf(refute_0_1657,plain,
join(X_313,composition(X_313,top)) = complement(complement(composition(X_313,top))),
inference(resolve,[$cnf( $equal(join(X_313,composition(X_313,top)),complement(complement(join(X_313,composition(X_313,top))))) )],[refute_0_1480,refute_0_1656]) ).
cnf(refute_0_1658,plain,
complement(complement(composition(X_313,top))) = composition(X_313,top),
inference(subst,[],[refute_0_628:[bind(X1,$fot(composition(X_313,top)))]]) ).
cnf(refute_0_1659,plain,
( complement(complement(composition(X_313,top))) != composition(X_313,top)
| join(X_313,composition(X_313,top)) != complement(complement(composition(X_313,top)))
| join(X_313,composition(X_313,top)) = composition(X_313,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_313,composition(X_313,top)),complement(complement(composition(X_313,top)))) ),[1],$fot(composition(X_313,top))]]) ).
cnf(refute_0_1660,plain,
( join(X_313,composition(X_313,top)) != complement(complement(composition(X_313,top)))
| join(X_313,composition(X_313,top)) = composition(X_313,top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(X_313,top))),composition(X_313,top)) )],[refute_0_1658,refute_0_1659]) ).
cnf(refute_0_1661,plain,
join(X_313,composition(X_313,top)) = composition(X_313,top),
inference(resolve,[$cnf( $equal(join(X_313,composition(X_313,top)),complement(complement(composition(X_313,top)))) )],[refute_0_1657,refute_0_1660]) ).
cnf(refute_0_1662,plain,
join(complement(X_383),composition(complement(X_383),top)) = composition(complement(X_383),top),
inference(subst,[],[refute_0_1661:[bind(X_313,$fot(complement(X_383)))]]) ).
cnf(refute_0_1663,plain,
( join(complement(X_383),composition(complement(X_383),top)) != composition(complement(X_383),top)
| top != join(X_383,composition(top,join(complement(X_383),composition(complement(X_383),top))))
| top = join(X_383,composition(top,composition(complement(X_383),top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_383,composition(top,join(complement(X_383),composition(complement(X_383),top))))) ),[1,1,1],$fot(composition(complement(X_383),top))]]) ).
cnf(refute_0_1664,plain,
( top != join(X_383,composition(top,join(complement(X_383),composition(complement(X_383),top))))
| top = join(X_383,composition(top,composition(complement(X_383),top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_383),composition(complement(X_383),top)),composition(complement(X_383),top)) )],[refute_0_1662,refute_0_1663]) ).
cnf(refute_0_1665,plain,
top = join(X_383,composition(top,composition(complement(X_383),top))),
inference(resolve,[$cnf( $equal(top,join(X_383,composition(top,join(complement(X_383),composition(complement(X_383),top))))) )],[refute_0_1479,refute_0_1664]) ).
cnf(refute_0_1666,plain,
top = join(complement(X0),composition(top,composition(complement(complement(X0)),top))),
inference(subst,[],[refute_0_1665:[bind(X_383,$fot(complement(X0)))]]) ).
cnf(refute_0_1667,plain,
( top != join(complement(X0),composition(top,composition(complement(complement(X0)),top)))
| join(complement(X0),composition(top,composition(complement(complement(X0)),top))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X0),composition(top,composition(complement(complement(X0)),top)))))]]) ).
cnf(refute_0_1668,plain,
join(complement(X0),composition(top,composition(complement(complement(X0)),top))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X0),composition(top,composition(complement(complement(X0)),top)))) )],[refute_0_1666,refute_0_1667]) ).
cnf(refute_0_1669,plain,
( join(complement(X0),composition(top,composition(complement(complement(X0)),top))) != top
| meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) != complement(join(complement(X0),composition(top,composition(complement(complement(X0)),top))))
| meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))),complement(join(complement(X0),composition(top,composition(complement(complement(X0)),top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1670,plain,
( meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) != complement(join(complement(X0),composition(top,composition(complement(complement(X0)),top))))
| meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X0),composition(top,composition(complement(complement(X0)),top))),top) )],[refute_0_1668,refute_0_1669]) ).
cnf(refute_0_1671,plain,
meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))),complement(join(complement(X0),composition(top,composition(complement(complement(X0)),top))))) )],[refute_0_1422,refute_0_1670]) ).
cnf(refute_0_1672,plain,
complement(complement(X0)) = X0,
inference(subst,[],[refute_0_628:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_1673,plain,
composition(complement(complement(X0)),top) = composition(complement(complement(X0)),top),
introduced(tautology,[refl,[$fot(composition(complement(complement(X0)),top))]]) ).
cnf(refute_0_1674,plain,
( complement(complement(X0)) != X0
| composition(complement(complement(X0)),top) != composition(complement(complement(X0)),top)
| composition(complement(complement(X0)),top) = composition(X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(X0)),top),composition(complement(complement(X0)),top)) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1675,plain,
( complement(complement(X0)) != X0
| composition(complement(complement(X0)),top) = composition(X0,top) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(X0)),top),composition(complement(complement(X0)),top)) )],[refute_0_1673,refute_0_1674]) ).
cnf(refute_0_1676,plain,
composition(complement(complement(X0)),top) = composition(X0,top),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_1672,refute_0_1675]) ).
cnf(refute_0_1677,plain,
composition(top,composition(complement(complement(X0)),top)) = composition(top,composition(complement(complement(X0)),top)),
introduced(tautology,[refl,[$fot(composition(top,composition(complement(complement(X0)),top)))]]) ).
cnf(refute_0_1678,plain,
( composition(complement(complement(X0)),top) != composition(X0,top)
| composition(top,composition(complement(complement(X0)),top)) != composition(top,composition(complement(complement(X0)),top))
| composition(top,composition(complement(complement(X0)),top)) = composition(top,composition(X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(complement(X0)),top)),composition(top,composition(complement(complement(X0)),top))) ),[1,1],$fot(composition(X0,top))]]) ).
cnf(refute_0_1679,plain,
( composition(complement(complement(X0)),top) != composition(X0,top)
| composition(top,composition(complement(complement(X0)),top)) = composition(top,composition(X0,top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(complement(X0)),top)),composition(top,composition(complement(complement(X0)),top))) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
composition(top,composition(complement(complement(X0)),top)) = composition(top,composition(X0,top)),
inference(resolve,[$cnf( $equal(composition(complement(complement(X0)),top),composition(X0,top)) )],[refute_0_1676,refute_0_1679]) ).
cnf(refute_0_1681,plain,
complement(composition(top,composition(complement(complement(X0)),top))) = complement(composition(top,composition(complement(complement(X0)),top))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(complement(complement(X0)),top))))]]) ).
cnf(refute_0_1682,plain,
( complement(composition(top,composition(complement(complement(X0)),top))) != complement(composition(top,composition(complement(complement(X0)),top)))
| composition(top,composition(complement(complement(X0)),top)) != composition(top,composition(X0,top))
| complement(composition(top,composition(complement(complement(X0)),top))) = complement(composition(top,composition(X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(complement(complement(X0)),top))),complement(composition(top,composition(complement(complement(X0)),top)))) ),[1,0],$fot(composition(top,composition(X0,top)))]]) ).
cnf(refute_0_1683,plain,
( composition(top,composition(complement(complement(X0)),top)) != composition(top,composition(X0,top))
| complement(composition(top,composition(complement(complement(X0)),top))) = complement(composition(top,composition(X0,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(complement(complement(X0)),top))),complement(composition(top,composition(complement(complement(X0)),top)))) )],[refute_0_1681,refute_0_1682]) ).
cnf(refute_0_1684,plain,
complement(composition(top,composition(complement(complement(X0)),top))) = complement(composition(top,composition(X0,top))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(complement(X0)),top)),composition(top,composition(X0,top))) )],[refute_0_1680,refute_0_1683]) ).
cnf(refute_0_1685,plain,
meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) = meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))),
introduced(tautology,[refl,[$fot(meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))))]]) ).
cnf(refute_0_1686,plain,
( complement(composition(top,composition(complement(complement(X0)),top))) != complement(composition(top,composition(X0,top)))
| meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) != meet(X0,complement(composition(top,composition(complement(complement(X0)),top))))
| meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) = meet(X0,complement(composition(top,composition(X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))),meet(X0,complement(composition(top,composition(complement(complement(X0)),top))))) ),[1,1],$fot(complement(composition(top,composition(X0,top))))]]) ).
cnf(refute_0_1687,plain,
( complement(composition(top,composition(complement(complement(X0)),top))) != complement(composition(top,composition(X0,top)))
| meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) = meet(X0,complement(composition(top,composition(X0,top)))) ),
inference(resolve,[$cnf( $equal(meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))),meet(X0,complement(composition(top,composition(complement(complement(X0)),top))))) )],[refute_0_1685,refute_0_1686]) ).
cnf(refute_0_1688,plain,
meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) = meet(X0,complement(composition(top,composition(X0,top)))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(complement(complement(X0)),top))),complement(composition(top,composition(X0,top)))) )],[refute_0_1684,refute_0_1687]) ).
cnf(refute_0_1689,plain,
( meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) != complement(top)
| meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) != meet(X0,complement(composition(top,composition(X0,top))))
| meet(X0,complement(composition(top,composition(X0,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))),complement(top)) ),[0],$fot(meet(X0,complement(composition(top,composition(X0,top)))))]]) ).
cnf(refute_0_1690,plain,
( meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) != complement(top)
| meet(X0,complement(composition(top,composition(X0,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))),meet(X0,complement(composition(top,composition(X0,top))))) )],[refute_0_1688,refute_0_1689]) ).
cnf(refute_0_1691,plain,
( complement(top) != zero
| meet(X0,complement(composition(top,composition(X0,top)))) != complement(top)
| meet(X0,complement(composition(top,composition(X0,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(composition(top,composition(X0,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1692,plain,
( meet(X0,complement(composition(top,composition(X0,top)))) != complement(top)
| meet(X0,complement(composition(top,composition(X0,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_1691]) ).
cnf(refute_0_1693,plain,
( meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))) != complement(top)
| meet(X0,complement(composition(top,composition(X0,top)))) = zero ),
inference(resolve,[$cnf( $equal(meet(X0,complement(composition(top,composition(X0,top)))),complement(top)) )],[refute_0_1690,refute_0_1692]) ).
cnf(refute_0_1694,plain,
meet(X0,complement(composition(top,composition(X0,top)))) = zero,
inference(resolve,[$cnf( $equal(meet(X0,complement(composition(top,composition(complement(complement(X0)),top)))),complement(top)) )],[refute_0_1671,refute_0_1693]) ).
cnf(refute_0_1695,plain,
meet(join(X_459,X_458),complement(composition(top,composition(join(X_459,X_458),top)))) = zero,
inference(subst,[],[refute_0_1694:[bind(X0,$fot(join(X_459,X_458)))]]) ).
cnf(refute_0_1696,plain,
join(composition(X_59,X_60),composition(X_58,X_60)) = join(composition(X_58,X_60),composition(X_59,X_60)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(composition(X_59,X_60))),bind(X1,$fot(composition(X_58,X_60)))]]) ).
cnf(refute_0_1697,plain,
composition(join(X_58,X_59),X_60) = join(composition(X_58,X_60),composition(X_59,X_60)),
inference(subst,[],[refute_0_154:[bind(X0,$fot(X_58)),bind(X1,$fot(X_59)),bind(X2,$fot(X_60))]]) ).
cnf(refute_0_1698,plain,
( composition(join(X_58,X_59),X_60) != join(composition(X_58,X_60),composition(X_59,X_60))
| join(composition(X_58,X_60),composition(X_59,X_60)) = composition(join(X_58,X_59),X_60) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(X_58,X_59),X_60))),bind(Y,$fot(join(composition(X_58,X_60),composition(X_59,X_60))))]]) ).
cnf(refute_0_1699,plain,
join(composition(X_58,X_60),composition(X_59,X_60)) = composition(join(X_58,X_59),X_60),
inference(resolve,[$cnf( $equal(composition(join(X_58,X_59),X_60),join(composition(X_58,X_60),composition(X_59,X_60))) )],[refute_0_1697,refute_0_1698]) ).
cnf(refute_0_1700,plain,
( join(composition(X_58,X_60),composition(X_59,X_60)) != composition(join(X_58,X_59),X_60)
| join(composition(X_59,X_60),composition(X_58,X_60)) != join(composition(X_58,X_60),composition(X_59,X_60))
| join(composition(X_59,X_60),composition(X_58,X_60)) = composition(join(X_58,X_59),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_59,X_60),composition(X_58,X_60)),join(composition(X_58,X_60),composition(X_59,X_60))) ),[1],$fot(composition(join(X_58,X_59),X_60))]]) ).
cnf(refute_0_1701,plain,
( join(composition(X_59,X_60),composition(X_58,X_60)) != join(composition(X_58,X_60),composition(X_59,X_60))
| join(composition(X_59,X_60),composition(X_58,X_60)) = composition(join(X_58,X_59),X_60) ),
inference(resolve,[$cnf( $equal(join(composition(X_58,X_60),composition(X_59,X_60)),composition(join(X_58,X_59),X_60)) )],[refute_0_1699,refute_0_1700]) ).
cnf(refute_0_1702,plain,
join(composition(X_59,X_60),composition(X_58,X_60)) = composition(join(X_58,X_59),X_60),
inference(resolve,[$cnf( $equal(join(composition(X_59,X_60),composition(X_58,X_60)),join(composition(X_58,X_60),composition(X_59,X_60))) )],[refute_0_1696,refute_0_1701]) ).
cnf(refute_0_1703,plain,
( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
| join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_0_1704,plain,
join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_154,refute_0_1703]) ).
cnf(refute_0_1705,plain,
join(composition(X_59,X_60),composition(X_58,X_60)) = composition(join(X_59,X_58),X_60),
inference(subst,[],[refute_0_1704:[bind(X0,$fot(X_59)),bind(X1,$fot(X_58)),bind(X2,$fot(X_60))]]) ).
cnf(refute_0_1706,plain,
( join(composition(X_59,X_60),composition(X_58,X_60)) != composition(join(X_58,X_59),X_60)
| join(composition(X_59,X_60),composition(X_58,X_60)) != composition(join(X_59,X_58),X_60)
| composition(join(X_59,X_58),X_60) = composition(join(X_58,X_59),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_59,X_60),composition(X_58,X_60)),composition(join(X_58,X_59),X_60)) ),[0],$fot(composition(join(X_59,X_58),X_60))]]) ).
cnf(refute_0_1707,plain,
( join(composition(X_59,X_60),composition(X_58,X_60)) != composition(join(X_58,X_59),X_60)
| composition(join(X_59,X_58),X_60) = composition(join(X_58,X_59),X_60) ),
inference(resolve,[$cnf( $equal(join(composition(X_59,X_60),composition(X_58,X_60)),composition(join(X_59,X_58),X_60)) )],[refute_0_1705,refute_0_1706]) ).
cnf(refute_0_1708,plain,
composition(join(X_59,X_58),X_60) = composition(join(X_58,X_59),X_60),
inference(resolve,[$cnf( $equal(join(composition(X_59,X_60),composition(X_58,X_60)),composition(join(X_58,X_59),X_60)) )],[refute_0_1702,refute_0_1707]) ).
cnf(refute_0_1709,plain,
composition(join(X_459,X_458),top) = composition(join(X_458,X_459),top),
inference(subst,[],[refute_0_1708:[bind(X_58,$fot(X_458)),bind(X_59,$fot(X_459)),bind(X_60,$fot(top))]]) ).
cnf(refute_0_1710,plain,
( composition(join(X_459,X_458),top) != composition(join(X_458,X_459),top)
| meet(join(X_459,X_458),complement(composition(top,composition(join(X_459,X_458),top)))) != zero
| meet(join(X_459,X_458),complement(composition(top,composition(join(X_458,X_459),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_459,X_458),complement(composition(top,composition(join(X_459,X_458),top)))),zero) ),[0,1,0,1],$fot(composition(join(X_458,X_459),top))]]) ).
cnf(refute_0_1711,plain,
( meet(join(X_459,X_458),complement(composition(top,composition(join(X_459,X_458),top)))) != zero
| meet(join(X_459,X_458),complement(composition(top,composition(join(X_458,X_459),top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_459,X_458),top),composition(join(X_458,X_459),top)) )],[refute_0_1709,refute_0_1710]) ).
cnf(refute_0_1712,plain,
meet(join(X_459,X_458),complement(composition(top,composition(join(X_458,X_459),top)))) = zero,
inference(resolve,[$cnf( $equal(meet(join(X_459,X_458),complement(composition(top,composition(join(X_459,X_458),top)))),zero) )],[refute_0_1695,refute_0_1711]) ).
cnf(refute_0_1713,plain,
meet(join(X_470,X_469),complement(composition(top,composition(join(X_469,X_470),top)))) = zero,
inference(subst,[],[refute_0_1712:[bind(X_458,$fot(X_469)),bind(X_459,$fot(X_470))]]) ).
cnf(refute_0_1714,plain,
( join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(meet(join(X_470,X_469),complement(composition(top,composition(join(X_469,X_470),top)))),X2)) != join(join(X_470,X_469),X2)
| meet(join(X_470,X_469),complement(composition(top,composition(join(X_469,X_470),top)))) != zero
| join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) = join(join(X_470,X_469),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(meet(join(X_470,X_469),complement(composition(top,composition(join(X_469,X_470),top)))),X2)),join(join(X_470,X_469),X2)) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_1715,plain,
( join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(meet(join(X_470,X_469),complement(composition(top,composition(join(X_469,X_470),top)))),X2)) != join(join(X_470,X_469),X2)
| join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) = join(join(X_470,X_469),X2) ),
inference(resolve,[$cnf( $equal(meet(join(X_470,X_469),complement(composition(top,composition(join(X_469,X_470),top)))),zero) )],[refute_0_1713,refute_0_1714]) ).
cnf(refute_0_1716,plain,
join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) = join(join(X_470,X_469),X2),
inference(resolve,[$cnf( $equal(join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(meet(join(X_470,X_469),complement(composition(top,composition(join(X_469,X_470),top)))),X2)),join(join(X_470,X_469),X2)) )],[refute_0_1421,refute_0_1715]) ).
cnf(refute_0_1717,plain,
X_96 = join(meet(X_96,complement(composition(top,composition(X_96,top)))),meet(complement(complement(composition(top,composition(X_96,top)))),X_96)),
inference(subst,[],[refute_0_373:[bind(X_97,$fot(complement(composition(top,composition(X_96,top)))))]]) ).
cnf(refute_0_1718,plain,
meet(X_96,complement(composition(top,composition(X_96,top)))) = zero,
inference(subst,[],[refute_0_1694:[bind(X0,$fot(X_96))]]) ).
cnf(refute_0_1719,plain,
( X_96 != join(meet(X_96,complement(composition(top,composition(X_96,top)))),meet(complement(complement(composition(top,composition(X_96,top)))),X_96))
| meet(X_96,complement(composition(top,composition(X_96,top)))) != zero
| X_96 = join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(X_96,join(meet(X_96,complement(composition(top,composition(X_96,top)))),meet(complement(complement(composition(top,composition(X_96,top)))),X_96))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1720,plain,
( X_96 != join(meet(X_96,complement(composition(top,composition(X_96,top)))),meet(complement(complement(composition(top,composition(X_96,top)))),X_96))
| X_96 = join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) ),
inference(resolve,[$cnf( $equal(meet(X_96,complement(composition(top,composition(X_96,top)))),zero) )],[refute_0_1718,refute_0_1719]) ).
cnf(refute_0_1721,plain,
X_96 = join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,complement(composition(top,composition(X_96,top)))),meet(complement(complement(composition(top,composition(X_96,top)))),X_96))) )],[refute_0_1717,refute_0_1720]) ).
cnf(refute_0_1722,plain,
complement(complement(composition(top,composition(X_96,top)))) = composition(top,composition(X_96,top)),
inference(subst,[],[refute_0_628:[bind(X1,$fot(composition(top,composition(X_96,top))))]]) ).
cnf(refute_0_1723,plain,
meet(X_96,complement(complement(composition(top,composition(X_96,top))))) = meet(X_96,complement(complement(composition(top,composition(X_96,top))))),
introduced(tautology,[refl,[$fot(meet(X_96,complement(complement(composition(top,composition(X_96,top))))))]]) ).
cnf(refute_0_1724,plain,
( complement(complement(composition(top,composition(X_96,top)))) != composition(top,composition(X_96,top))
| meet(X_96,complement(complement(composition(top,composition(X_96,top))))) != meet(X_96,complement(complement(composition(top,composition(X_96,top)))))
| meet(X_96,complement(complement(composition(top,composition(X_96,top))))) = meet(X_96,composition(top,composition(X_96,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_96,complement(complement(composition(top,composition(X_96,top))))),meet(X_96,complement(complement(composition(top,composition(X_96,top)))))) ),[1,1],$fot(composition(top,composition(X_96,top)))]]) ).
cnf(refute_0_1725,plain,
( complement(complement(composition(top,composition(X_96,top)))) != composition(top,composition(X_96,top))
| meet(X_96,complement(complement(composition(top,composition(X_96,top))))) = meet(X_96,composition(top,composition(X_96,top))) ),
inference(resolve,[$cnf( $equal(meet(X_96,complement(complement(composition(top,composition(X_96,top))))),meet(X_96,complement(complement(composition(top,composition(X_96,top)))))) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
meet(X_96,complement(complement(composition(top,composition(X_96,top))))) = meet(X_96,composition(top,composition(X_96,top))),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,composition(X_96,top)))),composition(top,composition(X_96,top))) )],[refute_0_1722,refute_0_1725]) ).
cnf(refute_0_1727,plain,
meet(complement(complement(composition(top,composition(X_96,top)))),X_96) = meet(X_96,complement(complement(composition(top,composition(X_96,top))))),
inference(subst,[],[refute_0_375:[bind(X_225,$fot(X_96)),bind(X_226,$fot(complement(complement(composition(top,composition(X_96,top))))))]]) ).
cnf(refute_0_1728,plain,
join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) = meet(complement(complement(composition(top,composition(X_96,top)))),X_96),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(meet(complement(complement(composition(top,composition(X_96,top)))),X_96)))]]) ).
cnf(refute_0_1729,plain,
( join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) != meet(complement(complement(composition(top,composition(X_96,top)))),X_96)
| meet(complement(complement(composition(top,composition(X_96,top)))),X_96) != meet(X_96,complement(complement(composition(top,composition(X_96,top)))))
| join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) = meet(X_96,complement(complement(composition(top,composition(X_96,top))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)))),bind(Y,$fot(meet(complement(complement(composition(top,composition(X_96,top)))),X_96))),bind(Z,$fot(meet(X_96,complement(complement(composition(top,composition(X_96,top)))))))]]) ).
cnf(refute_0_1730,plain,
( meet(complement(complement(composition(top,composition(X_96,top)))),X_96) != meet(X_96,complement(complement(composition(top,composition(X_96,top)))))
| join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) = meet(X_96,complement(complement(composition(top,composition(X_96,top))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)),meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) )],[refute_0_1728,refute_0_1729]) ).
cnf(refute_0_1731,plain,
join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) = meet(X_96,complement(complement(composition(top,composition(X_96,top))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(top,composition(X_96,top)))),X_96),meet(X_96,complement(complement(composition(top,composition(X_96,top)))))) )],[refute_0_1727,refute_0_1730]) ).
cnf(refute_0_1732,plain,
( join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) != meet(X_96,complement(complement(composition(top,composition(X_96,top)))))
| meet(X_96,complement(complement(composition(top,composition(X_96,top))))) != meet(X_96,composition(top,composition(X_96,top)))
| join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) = meet(X_96,composition(top,composition(X_96,top))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)))),bind(Y,$fot(meet(X_96,complement(complement(composition(top,composition(X_96,top))))))),bind(Z,$fot(meet(X_96,composition(top,composition(X_96,top)))))]]) ).
cnf(refute_0_1733,plain,
( meet(X_96,complement(complement(composition(top,composition(X_96,top))))) != meet(X_96,composition(top,composition(X_96,top)))
| join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) = meet(X_96,composition(top,composition(X_96,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)),meet(X_96,complement(complement(composition(top,composition(X_96,top)))))) )],[refute_0_1731,refute_0_1732]) ).
cnf(refute_0_1734,plain,
join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) = meet(X_96,composition(top,composition(X_96,top))),
inference(resolve,[$cnf( $equal(meet(X_96,complement(complement(composition(top,composition(X_96,top))))),meet(X_96,composition(top,composition(X_96,top)))) )],[refute_0_1726,refute_0_1733]) ).
cnf(refute_0_1735,plain,
( X_96 != join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96))
| join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)) != meet(X_96,composition(top,composition(X_96,top)))
| X_96 = meet(X_96,composition(top,composition(X_96,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,meet(X_96,composition(top,composition(X_96,top)))) ),[0],$fot(join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)))]]) ).
cnf(refute_0_1736,plain,
( X_96 != join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96))
| X_96 = meet(X_96,composition(top,composition(X_96,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96)),meet(X_96,composition(top,composition(X_96,top)))) )],[refute_0_1734,refute_0_1735]) ).
cnf(refute_0_1737,plain,
X_96 = meet(X_96,composition(top,composition(X_96,top))),
inference(resolve,[$cnf( $equal(X_96,join(zero,meet(complement(complement(composition(top,composition(X_96,top)))),X_96))) )],[refute_0_1721,refute_0_1736]) ).
cnf(refute_0_1738,plain,
join(X_459,X_458) = meet(join(X_459,X_458),composition(top,composition(join(X_459,X_458),top))),
inference(subst,[],[refute_0_1737:[bind(X_96,$fot(join(X_459,X_458)))]]) ).
cnf(refute_0_1739,plain,
( composition(join(X_459,X_458),top) != composition(join(X_458,X_459),top)
| join(X_459,X_458) != meet(join(X_459,X_458),composition(top,composition(join(X_459,X_458),top)))
| join(X_459,X_458) = meet(join(X_459,X_458),composition(top,composition(join(X_458,X_459),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,X_458),meet(join(X_459,X_458),composition(top,composition(join(X_459,X_458),top)))) ),[1,1,1],$fot(composition(join(X_458,X_459),top))]]) ).
cnf(refute_0_1740,plain,
( join(X_459,X_458) != meet(join(X_459,X_458),composition(top,composition(join(X_459,X_458),top)))
| join(X_459,X_458) = meet(join(X_459,X_458),composition(top,composition(join(X_458,X_459),top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_459,X_458),top),composition(join(X_458,X_459),top)) )],[refute_0_1709,refute_0_1739]) ).
cnf(refute_0_1741,plain,
join(X_459,X_458) = meet(join(X_459,X_458),composition(top,composition(join(X_458,X_459),top))),
inference(resolve,[$cnf( $equal(join(X_459,X_458),meet(join(X_459,X_458),composition(top,composition(join(X_459,X_458),top)))) )],[refute_0_1738,refute_0_1740]) ).
cnf(refute_0_1742,plain,
( join(X_459,X_458) != meet(join(X_459,X_458),composition(top,composition(join(X_458,X_459),top)))
| meet(join(X_459,X_458),composition(top,composition(join(X_458,X_459),top))) = join(X_459,X_458) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_459,X_458))),bind(Y,$fot(meet(join(X_459,X_458),composition(top,composition(join(X_458,X_459),top)))))]]) ).
cnf(refute_0_1743,plain,
meet(join(X_459,X_458),composition(top,composition(join(X_458,X_459),top))) = join(X_459,X_458),
inference(resolve,[$cnf( $equal(join(X_459,X_458),meet(join(X_459,X_458),composition(top,composition(join(X_458,X_459),top)))) )],[refute_0_1741,refute_0_1742]) ).
cnf(refute_0_1744,plain,
meet(join(X_470,X_469),composition(top,composition(join(X_469,X_470),top))) = join(X_470,X_469),
inference(subst,[],[refute_0_1743:[bind(X_458,$fot(X_469)),bind(X_459,$fot(X_470))]]) ).
cnf(refute_0_1745,plain,
meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)) = meet(join(X_470,X_469),composition(top,composition(join(X_469,X_470),top))),
inference(subst,[],[refute_0_375:[bind(X_225,$fot(join(X_470,X_469))),bind(X_226,$fot(composition(top,composition(join(X_469,X_470),top))))]]) ).
cnf(refute_0_1746,plain,
( meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)) != meet(join(X_470,X_469),composition(top,composition(join(X_469,X_470),top)))
| meet(join(X_470,X_469),composition(top,composition(join(X_469,X_470),top))) != join(X_470,X_469)
| meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)) = join(X_470,X_469) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))),bind(Y,$fot(meet(join(X_470,X_469),composition(top,composition(join(X_469,X_470),top))))),bind(Z,$fot(join(X_470,X_469)))]]) ).
cnf(refute_0_1747,plain,
( meet(join(X_470,X_469),composition(top,composition(join(X_469,X_470),top))) != join(X_470,X_469)
| meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)) = join(X_470,X_469) ),
inference(resolve,[$cnf( $equal(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),meet(join(X_470,X_469),composition(top,composition(join(X_469,X_470),top)))) )],[refute_0_1745,refute_0_1746]) ).
cnf(refute_0_1748,plain,
meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)) = join(X_470,X_469),
inference(resolve,[$cnf( $equal(meet(join(X_470,X_469),composition(top,composition(join(X_469,X_470),top))),join(X_470,X_469)) )],[refute_0_1744,refute_0_1747]) ).
cnf(refute_0_1749,plain,
join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))) = join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))),
introduced(tautology,[refl,[$fot(join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))))]]) ).
cnf(refute_0_1750,plain,
( join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))) != join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))
| meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)) != join(X_470,X_469)
| join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))) = join(X2,join(X_470,X_469)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))),join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))) ),[1,1],$fot(join(X_470,X_469))]]) ).
cnf(refute_0_1751,plain,
( meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)) != join(X_470,X_469)
| join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))) = join(X2,join(X_470,X_469)) ),
inference(resolve,[$cnf( $equal(join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))),join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))) )],[refute_0_1749,refute_0_1750]) ).
cnf(refute_0_1752,plain,
join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))) = join(X2,join(X_470,X_469)),
inference(resolve,[$cnf( $equal(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(X_470,X_469)) )],[refute_0_1748,refute_0_1751]) ).
cnf(refute_0_1753,plain,
join(zero,join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))) = join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))))]]) ).
cnf(refute_0_1754,plain,
join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(meet(join(X_462,X_461),complement(composition(join(X_461,X_462),top))),X2)) = join(join(X_462,X_461),X2),
inference(subst,[],[refute_0_334:[bind(X_238,$fot(join(X_462,X_461))),bind(X_239,$fot(composition(join(X_461,X_462),top)))]]) ).
cnf(refute_0_1755,plain,
meet(join(X_459,X_458),complement(composition(join(X_459,X_458),top))) = zero,
inference(subst,[],[refute_0_1563:[bind(X_294,$fot(join(X_459,X_458)))]]) ).
cnf(refute_0_1756,plain,
( composition(join(X_459,X_458),top) != composition(join(X_458,X_459),top)
| meet(join(X_459,X_458),complement(composition(join(X_459,X_458),top))) != zero
| meet(join(X_459,X_458),complement(composition(join(X_458,X_459),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_459,X_458),complement(composition(join(X_459,X_458),top))),zero) ),[0,1,0],$fot(composition(join(X_458,X_459),top))]]) ).
cnf(refute_0_1757,plain,
( meet(join(X_459,X_458),complement(composition(join(X_459,X_458),top))) != zero
| meet(join(X_459,X_458),complement(composition(join(X_458,X_459),top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_459,X_458),top),composition(join(X_458,X_459),top)) )],[refute_0_1709,refute_0_1756]) ).
cnf(refute_0_1758,plain,
meet(join(X_459,X_458),complement(composition(join(X_458,X_459),top))) = zero,
inference(resolve,[$cnf( $equal(meet(join(X_459,X_458),complement(composition(join(X_459,X_458),top))),zero) )],[refute_0_1755,refute_0_1757]) ).
cnf(refute_0_1759,plain,
meet(join(X_462,X_461),complement(composition(join(X_461,X_462),top))) = zero,
inference(subst,[],[refute_0_1758:[bind(X_458,$fot(X_461)),bind(X_459,$fot(X_462))]]) ).
cnf(refute_0_1760,plain,
( join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(meet(join(X_462,X_461),complement(composition(join(X_461,X_462),top))),X2)) != join(join(X_462,X_461),X2)
| meet(join(X_462,X_461),complement(composition(join(X_461,X_462),top))) != zero
| join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) = join(join(X_462,X_461),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(meet(join(X_462,X_461),complement(composition(join(X_461,X_462),top))),X2)),join(join(X_462,X_461),X2)) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_1761,plain,
( join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(meet(join(X_462,X_461),complement(composition(join(X_461,X_462),top))),X2)) != join(join(X_462,X_461),X2)
| join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) = join(join(X_462,X_461),X2) ),
inference(resolve,[$cnf( $equal(meet(join(X_462,X_461),complement(composition(join(X_461,X_462),top))),zero) )],[refute_0_1759,refute_0_1760]) ).
cnf(refute_0_1762,plain,
join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) = join(join(X_462,X_461),X2),
inference(resolve,[$cnf( $equal(join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(meet(join(X_462,X_461),complement(composition(join(X_461,X_462),top))),X2)),join(join(X_462,X_461),X2)) )],[refute_0_1754,refute_0_1761]) ).
cnf(refute_0_1763,plain,
converse(complement(X_229)) = meet(converse(complement(X_229)),converse(join(complement(X_229),meet(X_229,composition(top,complement(X_229)))))),
inference(subst,[],[refute_0_805:[bind(X0,$fot(complement(X_229))),bind(X1,$fot(meet(X_229,composition(top,complement(X_229)))))]]) ).
cnf(refute_0_1764,plain,
composition(top,complement(X_226)) = join(meet(composition(top,complement(X_226)),X_226),meet(complement(X_226),composition(top,complement(X_226)))),
inference(subst,[],[refute_0_373:[bind(X_96,$fot(composition(top,complement(X_226)))),bind(X_97,$fot(X_226))]]) ).
cnf(refute_0_1765,plain,
X_117 = meet(X_117,join(X_117,composition(X_58,X_117))),
inference(subst,[],[refute_0_644:[bind(X_36,$fot(composition(X_58,X_117))),bind(X_96,$fot(X_117))]]) ).
cnf(refute_0_1766,plain,
composition(join(X_58,one),X_117) = join(X_117,composition(X_58,X_117)),
inference(subst,[],[refute_0_165:[bind(X_60,$fot(X_117))]]) ).
cnf(refute_0_1767,plain,
( composition(join(X_58,one),X_117) != join(X_117,composition(X_58,X_117))
| join(X_117,composition(X_58,X_117)) = composition(join(X_58,one),X_117) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(X_58,one),X_117))),bind(Y,$fot(join(X_117,composition(X_58,X_117))))]]) ).
cnf(refute_0_1768,plain,
join(X_117,composition(X_58,X_117)) = composition(join(X_58,one),X_117),
inference(resolve,[$cnf( $equal(composition(join(X_58,one),X_117),join(X_117,composition(X_58,X_117))) )],[refute_0_1766,refute_0_1767]) ).
cnf(refute_0_1769,plain,
( X_117 != meet(X_117,join(X_117,composition(X_58,X_117)))
| join(X_117,composition(X_58,X_117)) != composition(join(X_58,one),X_117)
| X_117 = meet(X_117,composition(join(X_58,one),X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(X_117,meet(X_117,join(X_117,composition(X_58,X_117)))) ),[1,1],$fot(composition(join(X_58,one),X_117))]]) ).
cnf(refute_0_1770,plain,
( X_117 != meet(X_117,join(X_117,composition(X_58,X_117)))
| X_117 = meet(X_117,composition(join(X_58,one),X_117)) ),
inference(resolve,[$cnf( $equal(join(X_117,composition(X_58,X_117)),composition(join(X_58,one),X_117)) )],[refute_0_1768,refute_0_1769]) ).
cnf(refute_0_1771,plain,
X_117 = meet(X_117,composition(join(X_58,one),X_117)),
inference(resolve,[$cnf( $equal(X_117,meet(X_117,join(X_117,composition(X_58,X_117)))) )],[refute_0_1765,refute_0_1770]) ).
cnf(refute_0_1772,plain,
X_130 = meet(X_130,composition(join(X_131,one),X_130)),
inference(subst,[],[refute_0_1771:[bind(X_117,$fot(X_130)),bind(X_58,$fot(X_131))]]) ).
cnf(refute_0_1773,plain,
join(one,X_131) = join(X_131,one),
inference(subst,[],[refute_0_3:[bind(X0,$fot(one)),bind(X1,$fot(X_131))]]) ).
cnf(refute_0_1774,plain,
( join(one,X_131) != join(X_131,one)
| join(X_131,one) = join(one,X_131) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,X_131))),bind(Y,$fot(join(X_131,one)))]]) ).
cnf(refute_0_1775,plain,
join(X_131,one) = join(one,X_131),
inference(resolve,[$cnf( $equal(join(one,X_131),join(X_131,one)) )],[refute_0_1773,refute_0_1774]) ).
cnf(refute_0_1776,plain,
( X_130 != meet(X_130,composition(join(X_131,one),X_130))
| join(X_131,one) != join(one,X_131)
| X_130 = meet(X_130,composition(join(one,X_131),X_130)) ),
introduced(tautology,[equality,[$cnf( $equal(X_130,meet(X_130,composition(join(X_131,one),X_130))) ),[1,1,0],$fot(join(one,X_131))]]) ).
cnf(refute_0_1777,plain,
( X_130 != meet(X_130,composition(join(X_131,one),X_130))
| X_130 = meet(X_130,composition(join(one,X_131),X_130)) ),
inference(resolve,[$cnf( $equal(join(X_131,one),join(one,X_131)) )],[refute_0_1775,refute_0_1776]) ).
cnf(refute_0_1778,plain,
X_130 = meet(X_130,composition(join(one,X_131),X_130)),
inference(resolve,[$cnf( $equal(X_130,meet(X_130,composition(join(X_131,one),X_130))) )],[refute_0_1772,refute_0_1777]) ).
cnf(refute_0_1779,plain,
X_160 = meet(X_160,composition(join(one,complement(one)),X_160)),
inference(subst,[],[refute_0_1778:[bind(X_130,$fot(X_160)),bind(X_131,$fot(complement(one)))]]) ).
cnf(refute_0_1780,plain,
top = join(one,complement(one)),
inference(subst,[],[refute_0_56:[bind(X0,$fot(one))]]) ).
cnf(refute_0_1781,plain,
( top != join(one,complement(one))
| join(one,complement(one)) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(one))))]]) ).
cnf(refute_0_1782,plain,
join(one,complement(one)) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(one))) )],[refute_0_1780,refute_0_1781]) ).
cnf(refute_0_1783,plain,
( X_160 != meet(X_160,composition(join(one,complement(one)),X_160))
| join(one,complement(one)) != top
| X_160 = meet(X_160,composition(top,X_160)) ),
introduced(tautology,[equality,[$cnf( $equal(X_160,meet(X_160,composition(join(one,complement(one)),X_160))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1784,plain,
( X_160 != meet(X_160,composition(join(one,complement(one)),X_160))
| X_160 = meet(X_160,composition(top,X_160)) ),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_1782,refute_0_1783]) ).
cnf(refute_0_1785,plain,
X_160 = meet(X_160,composition(top,X_160)),
inference(resolve,[$cnf( $equal(X_160,meet(X_160,composition(join(one,complement(one)),X_160))) )],[refute_0_1779,refute_0_1784]) ).
cnf(refute_0_1786,plain,
complement(X_226) = meet(complement(X_226),composition(top,complement(X_226))),
inference(subst,[],[refute_0_1785:[bind(X_160,$fot(complement(X_226)))]]) ).
cnf(refute_0_1787,plain,
( complement(X_226) != meet(complement(X_226),composition(top,complement(X_226)))
| meet(complement(X_226),composition(top,complement(X_226))) = complement(X_226) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X_226))),bind(Y,$fot(meet(complement(X_226),composition(top,complement(X_226)))))]]) ).
cnf(refute_0_1788,plain,
meet(complement(X_226),composition(top,complement(X_226))) = complement(X_226),
inference(resolve,[$cnf( $equal(complement(X_226),meet(complement(X_226),composition(top,complement(X_226)))) )],[refute_0_1786,refute_0_1787]) ).
cnf(refute_0_1789,plain,
( composition(top,complement(X_226)) != join(meet(composition(top,complement(X_226)),X_226),meet(complement(X_226),composition(top,complement(X_226))))
| meet(complement(X_226),composition(top,complement(X_226))) != complement(X_226)
| composition(top,complement(X_226)) = join(meet(composition(top,complement(X_226)),X_226),complement(X_226)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(X_226)),join(meet(composition(top,complement(X_226)),X_226),meet(complement(X_226),composition(top,complement(X_226))))) ),[1,1],$fot(complement(X_226))]]) ).
cnf(refute_0_1790,plain,
( composition(top,complement(X_226)) != join(meet(composition(top,complement(X_226)),X_226),meet(complement(X_226),composition(top,complement(X_226))))
| composition(top,complement(X_226)) = join(meet(composition(top,complement(X_226)),X_226),complement(X_226)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_226),composition(top,complement(X_226))),complement(X_226)) )],[refute_0_1788,refute_0_1789]) ).
cnf(refute_0_1791,plain,
composition(top,complement(X_226)) = join(meet(composition(top,complement(X_226)),X_226),complement(X_226)),
inference(resolve,[$cnf( $equal(composition(top,complement(X_226)),join(meet(composition(top,complement(X_226)),X_226),meet(complement(X_226),composition(top,complement(X_226))))) )],[refute_0_1764,refute_0_1790]) ).
cnf(refute_0_1792,plain,
meet(composition(top,complement(X_226)),X_226) = meet(X_226,composition(top,complement(X_226))),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(X_226)),bind(X_8,$fot(composition(top,complement(X_226))))]]) ).
cnf(refute_0_1793,plain,
join(complement(X_226),meet(composition(top,complement(X_226)),X_226)) = join(complement(X_226),meet(composition(top,complement(X_226)),X_226)),
introduced(tautology,[refl,[$fot(join(complement(X_226),meet(composition(top,complement(X_226)),X_226)))]]) ).
cnf(refute_0_1794,plain,
( join(complement(X_226),meet(composition(top,complement(X_226)),X_226)) != join(complement(X_226),meet(composition(top,complement(X_226)),X_226))
| meet(composition(top,complement(X_226)),X_226) != meet(X_226,composition(top,complement(X_226)))
| join(complement(X_226),meet(composition(top,complement(X_226)),X_226)) = join(complement(X_226),meet(X_226,composition(top,complement(X_226)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_226),meet(composition(top,complement(X_226)),X_226)),join(complement(X_226),meet(composition(top,complement(X_226)),X_226))) ),[1,1],$fot(meet(X_226,composition(top,complement(X_226))))]]) ).
cnf(refute_0_1795,plain,
( meet(composition(top,complement(X_226)),X_226) != meet(X_226,composition(top,complement(X_226)))
| join(complement(X_226),meet(composition(top,complement(X_226)),X_226)) = join(complement(X_226),meet(X_226,composition(top,complement(X_226)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_226),meet(composition(top,complement(X_226)),X_226)),join(complement(X_226),meet(composition(top,complement(X_226)),X_226))) )],[refute_0_1793,refute_0_1794]) ).
cnf(refute_0_1796,plain,
join(complement(X_226),meet(composition(top,complement(X_226)),X_226)) = join(complement(X_226),meet(X_226,composition(top,complement(X_226)))),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(X_226)),X_226),meet(X_226,composition(top,complement(X_226)))) )],[refute_0_1792,refute_0_1795]) ).
cnf(refute_0_1797,plain,
join(meet(composition(top,complement(X_226)),X_226),complement(X_226)) = join(complement(X_226),meet(composition(top,complement(X_226)),X_226)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(X_226))),bind(X1,$fot(meet(composition(top,complement(X_226)),X_226)))]]) ).
cnf(refute_0_1798,plain,
( join(complement(X_226),meet(composition(top,complement(X_226)),X_226)) != join(complement(X_226),meet(X_226,composition(top,complement(X_226))))
| join(meet(composition(top,complement(X_226)),X_226),complement(X_226)) != join(complement(X_226),meet(composition(top,complement(X_226)),X_226))
| join(meet(composition(top,complement(X_226)),X_226),complement(X_226)) = join(complement(X_226),meet(X_226,composition(top,complement(X_226)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(composition(top,complement(X_226)),X_226),complement(X_226)))),bind(Y,$fot(join(complement(X_226),meet(composition(top,complement(X_226)),X_226)))),bind(Z,$fot(join(complement(X_226),meet(X_226,composition(top,complement(X_226))))))]]) ).
cnf(refute_0_1799,plain,
( join(complement(X_226),meet(composition(top,complement(X_226)),X_226)) != join(complement(X_226),meet(X_226,composition(top,complement(X_226))))
| join(meet(composition(top,complement(X_226)),X_226),complement(X_226)) = join(complement(X_226),meet(X_226,composition(top,complement(X_226)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,complement(X_226)),X_226),complement(X_226)),join(complement(X_226),meet(composition(top,complement(X_226)),X_226))) )],[refute_0_1797,refute_0_1798]) ).
cnf(refute_0_1800,plain,
join(meet(composition(top,complement(X_226)),X_226),complement(X_226)) = join(complement(X_226),meet(X_226,composition(top,complement(X_226)))),
inference(resolve,[$cnf( $equal(join(complement(X_226),meet(composition(top,complement(X_226)),X_226)),join(complement(X_226),meet(X_226,composition(top,complement(X_226))))) )],[refute_0_1796,refute_0_1799]) ).
cnf(refute_0_1801,plain,
( composition(top,complement(X_226)) != join(meet(composition(top,complement(X_226)),X_226),complement(X_226))
| join(meet(composition(top,complement(X_226)),X_226),complement(X_226)) != join(complement(X_226),meet(X_226,composition(top,complement(X_226))))
| composition(top,complement(X_226)) = join(complement(X_226),meet(X_226,composition(top,complement(X_226)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,complement(X_226)),join(complement(X_226),meet(X_226,composition(top,complement(X_226))))) ),[0],$fot(join(meet(composition(top,complement(X_226)),X_226),complement(X_226)))]]) ).
cnf(refute_0_1802,plain,
( composition(top,complement(X_226)) != join(meet(composition(top,complement(X_226)),X_226),complement(X_226))
| composition(top,complement(X_226)) = join(complement(X_226),meet(X_226,composition(top,complement(X_226)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,complement(X_226)),X_226),complement(X_226)),join(complement(X_226),meet(X_226,composition(top,complement(X_226))))) )],[refute_0_1800,refute_0_1801]) ).
cnf(refute_0_1803,plain,
composition(top,complement(X_226)) = join(complement(X_226),meet(X_226,composition(top,complement(X_226)))),
inference(resolve,[$cnf( $equal(composition(top,complement(X_226)),join(meet(composition(top,complement(X_226)),X_226),complement(X_226))) )],[refute_0_1791,refute_0_1802]) ).
cnf(refute_0_1804,plain,
composition(top,complement(X_229)) = join(complement(X_229),meet(X_229,composition(top,complement(X_229)))),
inference(subst,[],[refute_0_1803:[bind(X_226,$fot(X_229))]]) ).
cnf(refute_0_1805,plain,
( composition(top,complement(X_229)) != join(complement(X_229),meet(X_229,composition(top,complement(X_229))))
| join(complement(X_229),meet(X_229,composition(top,complement(X_229)))) = composition(top,complement(X_229)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(top,complement(X_229)))),bind(Y,$fot(join(complement(X_229),meet(X_229,composition(top,complement(X_229))))))]]) ).
cnf(refute_0_1806,plain,
join(complement(X_229),meet(X_229,composition(top,complement(X_229)))) = composition(top,complement(X_229)),
inference(resolve,[$cnf( $equal(composition(top,complement(X_229)),join(complement(X_229),meet(X_229,composition(top,complement(X_229))))) )],[refute_0_1804,refute_0_1805]) ).
cnf(refute_0_1807,plain,
( converse(complement(X_229)) != meet(converse(complement(X_229)),converse(join(complement(X_229),meet(X_229,composition(top,complement(X_229))))))
| join(complement(X_229),meet(X_229,composition(top,complement(X_229)))) != composition(top,complement(X_229))
| converse(complement(X_229)) = meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_229)),meet(converse(complement(X_229)),converse(join(complement(X_229),meet(X_229,composition(top,complement(X_229))))))) ),[1,1,0],$fot(composition(top,complement(X_229)))]]) ).
cnf(refute_0_1808,plain,
( converse(complement(X_229)) != meet(converse(complement(X_229)),converse(join(complement(X_229),meet(X_229,composition(top,complement(X_229))))))
| converse(complement(X_229)) = meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_229),meet(X_229,composition(top,complement(X_229)))),composition(top,complement(X_229))) )],[refute_0_1806,refute_0_1807]) ).
cnf(refute_0_1809,plain,
converse(complement(X_229)) = meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))),
inference(resolve,[$cnf( $equal(converse(complement(X_229)),meet(converse(complement(X_229)),converse(join(complement(X_229),meet(X_229,composition(top,complement(X_229))))))) )],[refute_0_1763,refute_0_1808]) ).
cnf(refute_0_1810,plain,
converse(complement(X_229)) = complement(converse(X_229)),
inference(subst,[],[refute_0_987:[bind(X_231,$fot(X_229))]]) ).
cnf(refute_0_1811,plain,
( converse(complement(X_229)) != complement(converse(X_229))
| converse(complement(X_229)) != meet(converse(complement(X_229)),converse(composition(top,complement(X_229))))
| complement(converse(X_229)) = meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_229)),meet(converse(complement(X_229)),converse(composition(top,complement(X_229))))) ),[0],$fot(complement(converse(X_229)))]]) ).
cnf(refute_0_1812,plain,
( converse(complement(X_229)) != meet(converse(complement(X_229)),converse(composition(top,complement(X_229))))
| complement(converse(X_229)) = meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_229)),complement(converse(X_229))) )],[refute_0_1810,refute_0_1811]) ).
cnf(refute_0_1813,plain,
meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))) = meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))),
introduced(tautology,[refl,[$fot(meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))))]]) ).
cnf(refute_0_1814,plain,
( converse(complement(X_229)) != complement(converse(X_229))
| meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))) != meet(converse(complement(X_229)),converse(composition(top,complement(X_229))))
| meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))) = meet(complement(converse(X_229)),converse(composition(top,complement(X_229)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))),meet(converse(complement(X_229)),converse(composition(top,complement(X_229))))) ),[1,0],$fot(complement(converse(X_229)))]]) ).
cnf(refute_0_1815,plain,
( converse(complement(X_229)) != complement(converse(X_229))
| meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))) = meet(complement(converse(X_229)),converse(composition(top,complement(X_229)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))),meet(converse(complement(X_229)),converse(composition(top,complement(X_229))))) )],[refute_0_1813,refute_0_1814]) ).
cnf(refute_0_1816,plain,
meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))) = meet(complement(converse(X_229)),converse(composition(top,complement(X_229)))),
inference(resolve,[$cnf( $equal(converse(complement(X_229)),complement(converse(X_229))) )],[refute_0_1810,refute_0_1815]) ).
cnf(refute_0_1817,plain,
( complement(converse(X_229)) != meet(converse(complement(X_229)),converse(composition(top,complement(X_229))))
| meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))) != meet(complement(converse(X_229)),converse(composition(top,complement(X_229))))
| complement(converse(X_229)) = meet(complement(converse(X_229)),converse(composition(top,complement(X_229)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(X_229)),meet(complement(converse(X_229)),converse(composition(top,complement(X_229))))) ),[0],$fot(meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))))]]) ).
cnf(refute_0_1818,plain,
( complement(converse(X_229)) != meet(converse(complement(X_229)),converse(composition(top,complement(X_229))))
| complement(converse(X_229)) = meet(complement(converse(X_229)),converse(composition(top,complement(X_229)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_229)),converse(composition(top,complement(X_229)))),meet(complement(converse(X_229)),converse(composition(top,complement(X_229))))) )],[refute_0_1816,refute_0_1817]) ).
cnf(refute_0_1819,plain,
( converse(complement(X_229)) != meet(converse(complement(X_229)),converse(composition(top,complement(X_229))))
| complement(converse(X_229)) = meet(complement(converse(X_229)),converse(composition(top,complement(X_229)))) ),
inference(resolve,[$cnf( $equal(complement(converse(X_229)),meet(converse(complement(X_229)),converse(composition(top,complement(X_229))))) )],[refute_0_1812,refute_0_1818]) ).
cnf(refute_0_1820,plain,
complement(converse(X_229)) = meet(complement(converse(X_229)),converse(composition(top,complement(X_229)))),
inference(resolve,[$cnf( $equal(converse(complement(X_229)),meet(converse(complement(X_229)),converse(composition(top,complement(X_229))))) )],[refute_0_1809,refute_0_1819]) ).
cnf(refute_0_1821,plain,
complement(converse(converse(X0))) = meet(complement(converse(converse(X0))),converse(composition(top,complement(converse(X0))))),
inference(subst,[],[refute_0_1820:[bind(X_229,$fot(converse(X0)))]]) ).
cnf(refute_0_1822,plain,
( complement(converse(converse(X0))) != meet(complement(converse(converse(X0))),converse(composition(top,complement(converse(X0)))))
| converse(converse(X0)) != X0
| complement(converse(converse(X0))) = meet(complement(X0),converse(composition(top,complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X0))),meet(complement(converse(converse(X0))),converse(composition(top,complement(converse(X0)))))) ),[1,0,0],$fot(X0)]]) ).
cnf(refute_0_1823,plain,
( complement(converse(converse(X0))) != meet(complement(converse(converse(X0))),converse(composition(top,complement(converse(X0)))))
| complement(converse(converse(X0))) = meet(complement(X0),converse(composition(top,complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_95,refute_0_1822]) ).
cnf(refute_0_1824,plain,
complement(converse(converse(X0))) = meet(complement(X0),converse(composition(top,complement(converse(X0))))),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),meet(complement(converse(converse(X0))),converse(composition(top,complement(converse(X0)))))) )],[refute_0_1821,refute_0_1823]) ).
cnf(refute_0_1825,plain,
complement(converse(converse(X0))) = complement(converse(converse(X0))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X0))))]]) ).
cnf(refute_0_1826,plain,
( complement(converse(converse(X0))) != complement(converse(converse(X0)))
| converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1827,plain,
( converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) )],[refute_0_1825,refute_0_1826]) ).
cnf(refute_0_1828,plain,
complement(converse(converse(X0))) = complement(X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_95,refute_0_1827]) ).
cnf(refute_0_1829,plain,
( complement(converse(converse(X0))) != complement(X0)
| complement(converse(converse(X0))) != meet(complement(X0),converse(composition(top,complement(converse(X0)))))
| complement(X0) = meet(complement(X0),converse(composition(top,complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X0))),meet(complement(X0),converse(composition(top,complement(converse(X0)))))) ),[0],$fot(complement(X0))]]) ).
cnf(refute_0_1830,plain,
( complement(converse(converse(X0))) != meet(complement(X0),converse(composition(top,complement(converse(X0)))))
| complement(X0) = meet(complement(X0),converse(composition(top,complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
composition(complement(X0),converse(top)) = composition(complement(X0),converse(top)),
introduced(tautology,[refl,[$fot(composition(complement(X0),converse(top)))]]) ).
cnf(refute_0_1832,plain,
( composition(complement(X0),converse(top)) != composition(complement(X0),converse(top))
| converse(top) != top
| composition(complement(X0),converse(top)) = composition(complement(X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(X0),converse(top)),composition(complement(X0),converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1833,plain,
( converse(top) != top
| composition(complement(X0),converse(top)) = composition(complement(X0),top) ),
inference(resolve,[$cnf( $equal(composition(complement(X0),converse(top)),composition(complement(X0),converse(top))) )],[refute_0_1831,refute_0_1832]) ).
cnf(refute_0_1834,plain,
composition(complement(X0),converse(top)) = composition(complement(X0),top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_893,refute_0_1833]) ).
cnf(refute_0_1835,plain,
converse(composition(top,complement(converse(X0)))) = composition(complement(X0),converse(top)),
inference(subst,[],[refute_0_1183:[bind(X0,$fot(top)),bind(X_231,$fot(X0))]]) ).
cnf(refute_0_1836,plain,
( composition(complement(X0),converse(top)) != composition(complement(X0),top)
| converse(composition(top,complement(converse(X0)))) != composition(complement(X0),converse(top))
| converse(composition(top,complement(converse(X0)))) = composition(complement(X0),top) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(composition(top,complement(converse(X0)))))),bind(Y,$fot(composition(complement(X0),converse(top)))),bind(Z,$fot(composition(complement(X0),top)))]]) ).
cnf(refute_0_1837,plain,
( composition(complement(X0),converse(top)) != composition(complement(X0),top)
| converse(composition(top,complement(converse(X0)))) = composition(complement(X0),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(X0)))),composition(complement(X0),converse(top))) )],[refute_0_1835,refute_0_1836]) ).
cnf(refute_0_1838,plain,
converse(composition(top,complement(converse(X0)))) = composition(complement(X0),top),
inference(resolve,[$cnf( $equal(composition(complement(X0),converse(top)),composition(complement(X0),top)) )],[refute_0_1834,refute_0_1837]) ).
cnf(refute_0_1839,plain,
meet(complement(X0),converse(composition(top,complement(converse(X0))))) = meet(complement(X0),converse(composition(top,complement(converse(X0))))),
introduced(tautology,[refl,[$fot(meet(complement(X0),converse(composition(top,complement(converse(X0))))))]]) ).
cnf(refute_0_1840,plain,
( converse(composition(top,complement(converse(X0)))) != composition(complement(X0),top)
| meet(complement(X0),converse(composition(top,complement(converse(X0))))) != meet(complement(X0),converse(composition(top,complement(converse(X0)))))
| meet(complement(X0),converse(composition(top,complement(converse(X0))))) = meet(complement(X0),composition(complement(X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X0),converse(composition(top,complement(converse(X0))))),meet(complement(X0),converse(composition(top,complement(converse(X0)))))) ),[1,1],$fot(composition(complement(X0),top))]]) ).
cnf(refute_0_1841,plain,
( converse(composition(top,complement(converse(X0)))) != composition(complement(X0),top)
| meet(complement(X0),converse(composition(top,complement(converse(X0))))) = meet(complement(X0),composition(complement(X0),top)) ),
inference(resolve,[$cnf( $equal(meet(complement(X0),converse(composition(top,complement(converse(X0))))),meet(complement(X0),converse(composition(top,complement(converse(X0)))))) )],[refute_0_1839,refute_0_1840]) ).
cnf(refute_0_1842,plain,
meet(complement(X0),converse(composition(top,complement(converse(X0))))) = meet(complement(X0),composition(complement(X0),top)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(X0)))),composition(complement(X0),top)) )],[refute_0_1838,refute_0_1841]) ).
cnf(refute_0_1843,plain,
( complement(X0) != meet(complement(X0),converse(composition(top,complement(converse(X0)))))
| meet(complement(X0),converse(composition(top,complement(converse(X0))))) != meet(complement(X0),composition(complement(X0),top))
| complement(X0) = meet(complement(X0),composition(complement(X0),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X0),meet(complement(X0),composition(complement(X0),top))) ),[0],$fot(meet(complement(X0),converse(composition(top,complement(converse(X0))))))]]) ).
cnf(refute_0_1844,plain,
( complement(X0) != meet(complement(X0),converse(composition(top,complement(converse(X0)))))
| complement(X0) = meet(complement(X0),composition(complement(X0),top)) ),
inference(resolve,[$cnf( $equal(meet(complement(X0),converse(composition(top,complement(converse(X0))))),meet(complement(X0),composition(complement(X0),top))) )],[refute_0_1842,refute_0_1843]) ).
cnf(refute_0_1845,plain,
( complement(converse(converse(X0))) != meet(complement(X0),converse(composition(top,complement(converse(X0)))))
| complement(X0) = meet(complement(X0),composition(complement(X0),top)) ),
inference(resolve,[$cnf( $equal(complement(X0),meet(complement(X0),converse(composition(top,complement(converse(X0)))))) )],[refute_0_1830,refute_0_1844]) ).
cnf(refute_0_1846,plain,
complement(X0) = meet(complement(X0),composition(complement(X0),top)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),meet(complement(X0),converse(composition(top,complement(converse(X0)))))) )],[refute_0_1824,refute_0_1845]) ).
cnf(refute_0_1847,plain,
complement(complement(X1)) = meet(complement(complement(X1)),composition(complement(complement(X1)),top)),
inference(subst,[],[refute_0_1846:[bind(X0,$fot(complement(X1)))]]) ).
cnf(refute_0_1848,plain,
( complement(complement(X1)) != X1
| complement(complement(X1)) != meet(complement(complement(X1)),composition(complement(complement(X1)),top))
| complement(complement(X1)) = meet(complement(complement(X1)),composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X1)),meet(complement(complement(X1)),composition(complement(complement(X1)),top))) ),[1,1,0],$fot(X1)]]) ).
cnf(refute_0_1849,plain,
( complement(complement(X1)) != meet(complement(complement(X1)),composition(complement(complement(X1)),top))
| complement(complement(X1)) = meet(complement(complement(X1)),composition(X1,top)) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_1848]) ).
cnf(refute_0_1850,plain,
complement(complement(X1)) = meet(complement(complement(X1)),composition(X1,top)),
inference(resolve,[$cnf( $equal(complement(complement(X1)),meet(complement(complement(X1)),composition(complement(complement(X1)),top))) )],[refute_0_1847,refute_0_1849]) ).
cnf(refute_0_1851,plain,
( complement(complement(X1)) != X1
| complement(complement(X1)) != meet(complement(complement(X1)),composition(X1,top))
| X1 = meet(complement(complement(X1)),composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X1)),meet(complement(complement(X1)),composition(X1,top))) ),[0],$fot(X1)]]) ).
cnf(refute_0_1852,plain,
( complement(complement(X1)) != meet(complement(complement(X1)),composition(X1,top))
| X1 = meet(complement(complement(X1)),composition(X1,top)) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_1851]) ).
cnf(refute_0_1853,plain,
meet(complement(complement(X1)),composition(X1,top)) = meet(complement(complement(X1)),composition(X1,top)),
introduced(tautology,[refl,[$fot(meet(complement(complement(X1)),composition(X1,top)))]]) ).
cnf(refute_0_1854,plain,
( complement(complement(X1)) != X1
| meet(complement(complement(X1)),composition(X1,top)) != meet(complement(complement(X1)),composition(X1,top))
| meet(complement(complement(X1)),composition(X1,top)) = meet(X1,composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X1)),composition(X1,top)),meet(complement(complement(X1)),composition(X1,top))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_1855,plain,
( complement(complement(X1)) != X1
| meet(complement(complement(X1)),composition(X1,top)) = meet(X1,composition(X1,top)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X1)),composition(X1,top)),meet(complement(complement(X1)),composition(X1,top))) )],[refute_0_1853,refute_0_1854]) ).
cnf(refute_0_1856,plain,
meet(complement(complement(X1)),composition(X1,top)) = meet(X1,composition(X1,top)),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_1855]) ).
cnf(refute_0_1857,plain,
( X1 != meet(complement(complement(X1)),composition(X1,top))
| meet(complement(complement(X1)),composition(X1,top)) != meet(X1,composition(X1,top))
| X1 = meet(X1,composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X1,meet(X1,composition(X1,top))) ),[0],$fot(meet(complement(complement(X1)),composition(X1,top)))]]) ).
cnf(refute_0_1858,plain,
( X1 != meet(complement(complement(X1)),composition(X1,top))
| X1 = meet(X1,composition(X1,top)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X1)),composition(X1,top)),meet(X1,composition(X1,top))) )],[refute_0_1856,refute_0_1857]) ).
cnf(refute_0_1859,plain,
( complement(complement(X1)) != meet(complement(complement(X1)),composition(X1,top))
| X1 = meet(X1,composition(X1,top)) ),
inference(resolve,[$cnf( $equal(X1,meet(complement(complement(X1)),composition(X1,top))) )],[refute_0_1852,refute_0_1858]) ).
cnf(refute_0_1860,plain,
X1 = meet(X1,composition(X1,top)),
inference(resolve,[$cnf( $equal(complement(complement(X1)),meet(complement(complement(X1)),composition(X1,top))) )],[refute_0_1850,refute_0_1859]) ).
cnf(refute_0_1861,plain,
join(X_459,X_458) = meet(join(X_459,X_458),composition(join(X_459,X_458),top)),
inference(subst,[],[refute_0_1860:[bind(X1,$fot(join(X_459,X_458)))]]) ).
cnf(refute_0_1862,plain,
( composition(join(X_459,X_458),top) != composition(join(X_458,X_459),top)
| join(X_459,X_458) != meet(join(X_459,X_458),composition(join(X_459,X_458),top))
| join(X_459,X_458) = meet(join(X_459,X_458),composition(join(X_458,X_459),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,X_458),meet(join(X_459,X_458),composition(join(X_459,X_458),top))) ),[1,1],$fot(composition(join(X_458,X_459),top))]]) ).
cnf(refute_0_1863,plain,
( join(X_459,X_458) != meet(join(X_459,X_458),composition(join(X_459,X_458),top))
| join(X_459,X_458) = meet(join(X_459,X_458),composition(join(X_458,X_459),top)) ),
inference(resolve,[$cnf( $equal(composition(join(X_459,X_458),top),composition(join(X_458,X_459),top)) )],[refute_0_1709,refute_0_1862]) ).
cnf(refute_0_1864,plain,
join(X_459,X_458) = meet(join(X_459,X_458),composition(join(X_458,X_459),top)),
inference(resolve,[$cnf( $equal(join(X_459,X_458),meet(join(X_459,X_458),composition(join(X_459,X_458),top))) )],[refute_0_1861,refute_0_1863]) ).
cnf(refute_0_1865,plain,
( join(X_459,X_458) != meet(join(X_459,X_458),composition(join(X_458,X_459),top))
| meet(join(X_459,X_458),composition(join(X_458,X_459),top)) = join(X_459,X_458) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_459,X_458))),bind(Y,$fot(meet(join(X_459,X_458),composition(join(X_458,X_459),top))))]]) ).
cnf(refute_0_1866,plain,
meet(join(X_459,X_458),composition(join(X_458,X_459),top)) = join(X_459,X_458),
inference(resolve,[$cnf( $equal(join(X_459,X_458),meet(join(X_459,X_458),composition(join(X_458,X_459),top))) )],[refute_0_1864,refute_0_1865]) ).
cnf(refute_0_1867,plain,
meet(join(X_462,X_461),composition(join(X_461,X_462),top)) = join(X_462,X_461),
inference(subst,[],[refute_0_1866:[bind(X_458,$fot(X_461)),bind(X_459,$fot(X_462))]]) ).
cnf(refute_0_1868,plain,
join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))) = join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))),
introduced(tautology,[refl,[$fot(join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))))]]) ).
cnf(refute_0_1869,plain,
( join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))) != join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))
| meet(join(X_462,X_461),composition(join(X_461,X_462),top)) != join(X_462,X_461)
| join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))) = join(X2,join(X_462,X_461)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))),join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))) ),[1,1],$fot(join(X_462,X_461))]]) ).
cnf(refute_0_1870,plain,
( meet(join(X_462,X_461),composition(join(X_461,X_462),top)) != join(X_462,X_461)
| join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))) = join(X2,join(X_462,X_461)) ),
inference(resolve,[$cnf( $equal(join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))),join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))) )],[refute_0_1868,refute_0_1869]) ).
cnf(refute_0_1871,plain,
join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))) = join(X2,join(X_462,X_461)),
inference(resolve,[$cnf( $equal(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(X_462,X_461)) )],[refute_0_1867,refute_0_1870]) ).
cnf(refute_0_1872,plain,
join(zero,join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))) = join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))))]]) ).
cnf(refute_0_1873,plain,
join(X_250,join(X_251,X_252)) = join(X_251,join(X_250,X_252)),
inference(subst,[],[refute_0_399:[bind(X_34,$fot(X_250)),bind(X_35,$fot(X_251)),bind(X_36,$fot(X_252))]]) ).
cnf(refute_0_1874,plain,
join(X_252,X_251) = join(X_251,X_252),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_252)),bind(X1,$fot(X_251))]]) ).
cnf(refute_0_1875,plain,
( join(X_252,X_251) != join(X_251,X_252)
| join(X_251,X_252) = join(X_252,X_251) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_252,X_251))),bind(Y,$fot(join(X_251,X_252)))]]) ).
cnf(refute_0_1876,plain,
join(X_251,X_252) = join(X_252,X_251),
inference(resolve,[$cnf( $equal(join(X_252,X_251),join(X_251,X_252)) )],[refute_0_1874,refute_0_1875]) ).
cnf(refute_0_1877,plain,
( join(X_250,join(X_251,X_252)) != join(X_251,join(X_250,X_252))
| join(X_251,X_252) != join(X_252,X_251)
| join(X_250,join(X_252,X_251)) = join(X_251,join(X_250,X_252)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_250,join(X_251,X_252)),join(X_251,join(X_250,X_252))) ),[0,1],$fot(join(X_252,X_251))]]) ).
cnf(refute_0_1878,plain,
( join(X_250,join(X_251,X_252)) != join(X_251,join(X_250,X_252))
| join(X_250,join(X_252,X_251)) = join(X_251,join(X_250,X_252)) ),
inference(resolve,[$cnf( $equal(join(X_251,X_252),join(X_252,X_251)) )],[refute_0_1876,refute_0_1877]) ).
cnf(refute_0_1879,plain,
join(X_250,join(X_252,X_251)) = join(X_251,join(X_250,X_252)),
inference(resolve,[$cnf( $equal(join(X_250,join(X_251,X_252)),join(X_251,join(X_250,X_252))) )],[refute_0_1873,refute_0_1878]) ).
cnf(refute_0_1880,plain,
( join(X_250,join(X_252,X_251)) != join(X_251,join(X_250,X_252))
| join(X_251,join(X_250,X_252)) = join(X_250,join(X_252,X_251)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_250,join(X_252,X_251)))),bind(Y,$fot(join(X_251,join(X_250,X_252))))]]) ).
cnf(refute_0_1881,plain,
join(X_251,join(X_250,X_252)) = join(X_250,join(X_252,X_251)),
inference(resolve,[$cnf( $equal(join(X_250,join(X_252,X_251)),join(X_251,join(X_250,X_252))) )],[refute_0_1879,refute_0_1880]) ).
cnf(refute_0_1882,plain,
join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2)) = join(zero,join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))),
inference(subst,[],[refute_0_1881:[bind(X_250,$fot(zero)),bind(X_251,$fot(meet(join(X_462,X_461),composition(join(X_461,X_462),top)))),bind(X_252,$fot(X2))]]) ).
cnf(refute_0_1883,plain,
( join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2)) != join(zero,join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))))
| join(zero,join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))) != join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))
| join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2)) = join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2)))),bind(Y,$fot(join(zero,join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))))),bind(Z,$fot(join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))))]]) ).
cnf(refute_0_1884,plain,
( join(zero,join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))) != join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))
| join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2)) = join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2)),join(zero,join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))))) )],[refute_0_1882,refute_0_1883]) ).
cnf(refute_0_1885,plain,
join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2)) = join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))),
inference(resolve,[$cnf( $equal(join(zero,join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))),join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))) )],[refute_0_1872,refute_0_1884]) ).
cnf(refute_0_1886,plain,
join(meet(complement(X_374),meet(X_375,X_374)),join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) = join(meet(X_375,X_374),X2),
inference(subst,[],[refute_0_334:[bind(X_238,$fot(meet(X_375,X_374))),bind(X_239,$fot(complement(X_374)))]]) ).
cnf(refute_0_1887,plain,
meet(complement(X_19),meet(X_372,X_19)) = complement(join(X_19,complement(meet(X_372,X_19)))),
inference(subst,[],[refute_0_363:[bind(X1,$fot(meet(X_372,X_19)))]]) ).
cnf(refute_0_1888,plain,
join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(meet(X_370,X_369)))) = top,
inference(subst,[],[refute_0_1027:[bind(X_41,$fot(meet(X_370,X_369))),bind(X_42,$fot(meet(X_369,complement(X_370))))]]) ).
cnf(refute_0_1889,plain,
join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(meet(X_370,X_369)))) = join(X_369,complement(meet(X_370,X_369))),
inference(subst,[],[refute_0_334:[bind(X2,$fot(complement(meet(X_370,X_369)))),bind(X_238,$fot(X_369)),bind(X_239,$fot(X_370))]]) ).
cnf(refute_0_1890,plain,
( join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(meet(X_370,X_369)))) != join(X_369,complement(meet(X_370,X_369)))
| join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(meet(X_370,X_369)))) != top
| join(X_369,complement(meet(X_370,X_369))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(meet(X_370,X_369)))),top) ),[0],$fot(join(X_369,complement(meet(X_370,X_369))))]]) ).
cnf(refute_0_1891,plain,
( join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(meet(X_370,X_369)))) != top
| join(X_369,complement(meet(X_370,X_369))) = top ),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(meet(X_370,X_369)))),join(X_369,complement(meet(X_370,X_369)))) )],[refute_0_1889,refute_0_1890]) ).
cnf(refute_0_1892,plain,
join(X_369,complement(meet(X_370,X_369))) = top,
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(meet(X_370,X_369)))),top) )],[refute_0_1888,refute_0_1891]) ).
cnf(refute_0_1893,plain,
join(X_19,complement(meet(X_372,X_19))) = top,
inference(subst,[],[refute_0_1892:[bind(X_369,$fot(X_19)),bind(X_370,$fot(X_372))]]) ).
cnf(refute_0_1894,plain,
( join(X_19,complement(meet(X_372,X_19))) != top
| meet(complement(X_19),meet(X_372,X_19)) != complement(join(X_19,complement(meet(X_372,X_19))))
| meet(complement(X_19),meet(X_372,X_19)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_19),meet(X_372,X_19)),complement(join(X_19,complement(meet(X_372,X_19))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1895,plain,
( meet(complement(X_19),meet(X_372,X_19)) != complement(join(X_19,complement(meet(X_372,X_19))))
| meet(complement(X_19),meet(X_372,X_19)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(X_19,complement(meet(X_372,X_19))),top) )],[refute_0_1893,refute_0_1894]) ).
cnf(refute_0_1896,plain,
meet(complement(X_19),meet(X_372,X_19)) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(X_19),meet(X_372,X_19)),complement(join(X_19,complement(meet(X_372,X_19))))) )],[refute_0_1887,refute_0_1895]) ).
cnf(refute_0_1897,plain,
( complement(top) != zero
| meet(complement(X_19),meet(X_372,X_19)) != complement(top)
| meet(complement(X_19),meet(X_372,X_19)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_19),meet(X_372,X_19)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1898,plain,
( meet(complement(X_19),meet(X_372,X_19)) != complement(top)
| meet(complement(X_19),meet(X_372,X_19)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_1897]) ).
cnf(refute_0_1899,plain,
meet(complement(X_19),meet(X_372,X_19)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(X_19),meet(X_372,X_19)),complement(top)) )],[refute_0_1896,refute_0_1898]) ).
cnf(refute_0_1900,plain,
meet(complement(X_374),meet(X_375,X_374)) = zero,
inference(subst,[],[refute_0_1899:[bind(X_19,$fot(X_374)),bind(X_372,$fot(X_375))]]) ).
cnf(refute_0_1901,plain,
( join(meet(complement(X_374),meet(X_375,X_374)),join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) != join(meet(X_375,X_374),X2)
| meet(complement(X_374),meet(X_375,X_374)) != zero
| join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) = join(meet(X_375,X_374),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(X_374),meet(X_375,X_374)),join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)),join(meet(X_375,X_374),X2)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1902,plain,
( join(meet(complement(X_374),meet(X_375,X_374)),join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) != join(meet(X_375,X_374),X2)
| join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) = join(meet(X_375,X_374),X2) ),
inference(resolve,[$cnf( $equal(meet(complement(X_374),meet(X_375,X_374)),zero) )],[refute_0_1900,refute_0_1901]) ).
cnf(refute_0_1903,plain,
join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) = join(meet(X_375,X_374),X2),
inference(resolve,[$cnf( $equal(join(meet(complement(X_374),meet(X_375,X_374)),join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)),join(meet(X_375,X_374),X2)) )],[refute_0_1886,refute_0_1902]) ).
cnf(refute_0_1904,plain,
meet(X_96,X1) = meet(meet(X_96,X1),join(meet(X_96,X1),meet(X_96,complement(X1)))),
inference(subst,[],[refute_0_644:[bind(X_36,$fot(meet(X_96,complement(X1)))),bind(X_96,$fot(meet(X_96,X1)))]]) ).
cnf(refute_0_1905,plain,
( X_96 != join(meet(X_96,X1),meet(X_96,complement(X1)))
| join(meet(X_96,X1),meet(X_96,complement(X1))) = X_96 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_96)),bind(Y,$fot(join(meet(X_96,X1),meet(X_96,complement(X1)))))]]) ).
cnf(refute_0_1906,plain,
join(meet(X_96,X1),meet(X_96,complement(X1))) = X_96,
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,X1),meet(X_96,complement(X1)))) )],[refute_0_411,refute_0_1905]) ).
cnf(refute_0_1907,plain,
( join(meet(X_96,X1),meet(X_96,complement(X1))) != X_96
| meet(X_96,X1) != meet(meet(X_96,X1),join(meet(X_96,X1),meet(X_96,complement(X1))))
| meet(X_96,X1) = meet(meet(X_96,X1),X_96) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_96,X1),meet(meet(X_96,X1),join(meet(X_96,X1),meet(X_96,complement(X1))))) ),[1,1],$fot(X_96)]]) ).
cnf(refute_0_1908,plain,
( meet(X_96,X1) != meet(meet(X_96,X1),join(meet(X_96,X1),meet(X_96,complement(X1))))
| meet(X_96,X1) = meet(meet(X_96,X1),X_96) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,X1),meet(X_96,complement(X1))),X_96) )],[refute_0_1906,refute_0_1907]) ).
cnf(refute_0_1909,plain,
meet(X_96,X1) = meet(meet(X_96,X1),X_96),
inference(resolve,[$cnf( $equal(meet(X_96,X1),meet(meet(X_96,X1),join(meet(X_96,X1),meet(X_96,complement(X1))))) )],[refute_0_1904,refute_0_1908]) ).
cnf(refute_0_1910,plain,
meet(meet(X_96,X1),X_96) = meet(X_96,meet(X_96,X1)),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(X_96)),bind(X_8,$fot(meet(X_96,X1)))]]) ).
cnf(refute_0_1911,plain,
( meet(X_96,X1) != meet(meet(X_96,X1),X_96)
| meet(meet(X_96,X1),X_96) != meet(X_96,meet(X_96,X1))
| meet(X_96,X1) = meet(X_96,meet(X_96,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_96,X1),meet(X_96,meet(X_96,X1))) ),[0],$fot(meet(meet(X_96,X1),X_96))]]) ).
cnf(refute_0_1912,plain,
( meet(X_96,X1) != meet(meet(X_96,X1),X_96)
| meet(X_96,X1) = meet(X_96,meet(X_96,X1)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_96,X1),X_96),meet(X_96,meet(X_96,X1))) )],[refute_0_1910,refute_0_1911]) ).
cnf(refute_0_1913,plain,
meet(X_96,X1) = meet(X_96,meet(X_96,X1)),
inference(resolve,[$cnf( $equal(meet(X_96,X1),meet(meet(X_96,X1),X_96)) )],[refute_0_1909,refute_0_1912]) ).
cnf(refute_0_1914,plain,
meet(X_129,X_128) = meet(X_129,meet(X_129,X_128)),
inference(subst,[],[refute_0_1913:[bind(X1,$fot(X_128)),bind(X_96,$fot(X_129))]]) ).
cnf(refute_0_1915,plain,
meet(X_128,X_129) = meet(X_129,X_128),
inference(subst,[],[refute_0_40:[bind(X_7,$fot(X_128)),bind(X_8,$fot(X_129))]]) ).
cnf(refute_0_1916,plain,
( meet(X_128,X_129) != meet(X_129,X_128)
| meet(X_129,X_128) = meet(X_128,X_129) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_128,X_129))),bind(Y,$fot(meet(X_129,X_128)))]]) ).
cnf(refute_0_1917,plain,
meet(X_129,X_128) = meet(X_128,X_129),
inference(resolve,[$cnf( $equal(meet(X_128,X_129),meet(X_129,X_128)) )],[refute_0_1915,refute_0_1916]) ).
cnf(refute_0_1918,plain,
( meet(X_129,X_128) != meet(X_128,X_129)
| meet(X_129,X_128) != meet(X_129,meet(X_129,X_128))
| meet(X_129,X_128) = meet(X_129,meet(X_128,X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_129,X_128),meet(X_129,meet(X_129,X_128))) ),[1,1],$fot(meet(X_128,X_129))]]) ).
cnf(refute_0_1919,plain,
( meet(X_129,X_128) != meet(X_129,meet(X_129,X_128))
| meet(X_129,X_128) = meet(X_129,meet(X_128,X_129)) ),
inference(resolve,[$cnf( $equal(meet(X_129,X_128),meet(X_128,X_129)) )],[refute_0_1917,refute_0_1918]) ).
cnf(refute_0_1920,plain,
meet(X_129,X_128) = meet(X_129,meet(X_128,X_129)),
inference(resolve,[$cnf( $equal(meet(X_129,X_128),meet(X_129,meet(X_129,X_128))) )],[refute_0_1914,refute_0_1919]) ).
cnf(refute_0_1921,plain,
( meet(X_129,X_128) != meet(X_129,meet(X_128,X_129))
| meet(X_129,meet(X_128,X_129)) = meet(X_129,X_128) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_129,X_128))),bind(Y,$fot(meet(X_129,meet(X_128,X_129))))]]) ).
cnf(refute_0_1922,plain,
meet(X_129,meet(X_128,X_129)) = meet(X_129,X_128),
inference(resolve,[$cnf( $equal(meet(X_129,X_128),meet(X_129,meet(X_128,X_129))) )],[refute_0_1920,refute_0_1921]) ).
cnf(refute_0_1923,plain,
meet(X_374,meet(X_375,X_374)) = meet(X_374,X_375),
inference(subst,[],[refute_0_1922:[bind(X_128,$fot(X_375)),bind(X_129,$fot(X_374))]]) ).
cnf(refute_0_1924,plain,
complement(complement(X_374)) = X_374,
inference(subst,[],[refute_0_628:[bind(X1,$fot(X_374))]]) ).
cnf(refute_0_1925,plain,
meet(complement(complement(X_374)),meet(X_375,X_374)) = meet(complement(complement(X_374)),meet(X_375,X_374)),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_374)),meet(X_375,X_374)))]]) ).
cnf(refute_0_1926,plain,
( complement(complement(X_374)) != X_374
| meet(complement(complement(X_374)),meet(X_375,X_374)) != meet(complement(complement(X_374)),meet(X_375,X_374))
| meet(complement(complement(X_374)),meet(X_375,X_374)) = meet(X_374,meet(X_375,X_374)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_374)),meet(X_375,X_374)),meet(complement(complement(X_374)),meet(X_375,X_374))) ),[1,0],$fot(X_374)]]) ).
cnf(refute_0_1927,plain,
( complement(complement(X_374)) != X_374
| meet(complement(complement(X_374)),meet(X_375,X_374)) = meet(X_374,meet(X_375,X_374)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_374)),meet(X_375,X_374)),meet(complement(complement(X_374)),meet(X_375,X_374))) )],[refute_0_1925,refute_0_1926]) ).
cnf(refute_0_1928,plain,
meet(complement(complement(X_374)),meet(X_375,X_374)) = meet(X_374,meet(X_375,X_374)),
inference(resolve,[$cnf( $equal(complement(complement(X_374)),X_374) )],[refute_0_1924,refute_0_1927]) ).
cnf(refute_0_1929,plain,
( meet(X_374,meet(X_375,X_374)) != meet(X_374,X_375)
| meet(complement(complement(X_374)),meet(X_375,X_374)) != meet(X_374,meet(X_375,X_374))
| meet(complement(complement(X_374)),meet(X_375,X_374)) = meet(X_374,X_375) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(complement(complement(X_374)),meet(X_375,X_374)))),bind(Y,$fot(meet(X_374,meet(X_375,X_374)))),bind(Z,$fot(meet(X_374,X_375)))]]) ).
cnf(refute_0_1930,plain,
( meet(X_374,meet(X_375,X_374)) != meet(X_374,X_375)
| meet(complement(complement(X_374)),meet(X_375,X_374)) = meet(X_374,X_375) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_374)),meet(X_375,X_374)),meet(X_374,meet(X_375,X_374))) )],[refute_0_1928,refute_0_1929]) ).
cnf(refute_0_1931,plain,
meet(complement(complement(X_374)),meet(X_375,X_374)) = meet(X_374,X_375),
inference(resolve,[$cnf( $equal(meet(X_374,meet(X_375,X_374)),meet(X_374,X_375)) )],[refute_0_1923,refute_0_1930]) ).
cnf(refute_0_1932,plain,
meet(meet(X_375,X_374),complement(complement(X_374))) = meet(complement(complement(X_374)),meet(X_375,X_374)),
inference(subst,[],[refute_0_375:[bind(X_225,$fot(complement(complement(X_374)))),bind(X_226,$fot(meet(X_375,X_374)))]]) ).
cnf(refute_0_1933,plain,
( meet(complement(complement(X_374)),meet(X_375,X_374)) != meet(X_374,X_375)
| meet(meet(X_375,X_374),complement(complement(X_374))) != meet(complement(complement(X_374)),meet(X_375,X_374))
| meet(meet(X_375,X_374),complement(complement(X_374))) = meet(X_374,X_375) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(meet(X_375,X_374),complement(complement(X_374))))),bind(Y,$fot(meet(complement(complement(X_374)),meet(X_375,X_374)))),bind(Z,$fot(meet(X_374,X_375)))]]) ).
cnf(refute_0_1934,plain,
( meet(complement(complement(X_374)),meet(X_375,X_374)) != meet(X_374,X_375)
| meet(meet(X_375,X_374),complement(complement(X_374))) = meet(X_374,X_375) ),
inference(resolve,[$cnf( $equal(meet(meet(X_375,X_374),complement(complement(X_374))),meet(complement(complement(X_374)),meet(X_375,X_374))) )],[refute_0_1932,refute_0_1933]) ).
cnf(refute_0_1935,plain,
meet(meet(X_375,X_374),complement(complement(X_374))) = meet(X_374,X_375),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_374)),meet(X_375,X_374)),meet(X_374,X_375)) )],[refute_0_1931,refute_0_1934]) ).
cnf(refute_0_1936,plain,
join(meet(meet(X_375,X_374),complement(complement(X_374))),X2) = join(meet(meet(X_375,X_374),complement(complement(X_374))),X2),
introduced(tautology,[refl,[$fot(join(meet(meet(X_375,X_374),complement(complement(X_374))),X2))]]) ).
cnf(refute_0_1937,plain,
( join(meet(meet(X_375,X_374),complement(complement(X_374))),X2) != join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)
| meet(meet(X_375,X_374),complement(complement(X_374))) != meet(X_374,X_375)
| join(meet(meet(X_375,X_374),complement(complement(X_374))),X2) = join(meet(X_374,X_375),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_375,X_374),complement(complement(X_374))),X2),join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) ),[1,0],$fot(meet(X_374,X_375))]]) ).
cnf(refute_0_1938,plain,
( meet(meet(X_375,X_374),complement(complement(X_374))) != meet(X_374,X_375)
| join(meet(meet(X_375,X_374),complement(complement(X_374))),X2) = join(meet(X_374,X_375),X2) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_375,X_374),complement(complement(X_374))),X2),join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) )],[refute_0_1936,refute_0_1937]) ).
cnf(refute_0_1939,plain,
join(meet(meet(X_375,X_374),complement(complement(X_374))),X2) = join(meet(X_374,X_375),X2),
inference(resolve,[$cnf( $equal(meet(meet(X_375,X_374),complement(complement(X_374))),meet(X_374,X_375)) )],[refute_0_1935,refute_0_1938]) ).
cnf(refute_0_1940,plain,
join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) = join(meet(meet(X_375,X_374),complement(complement(X_374))),X2),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)))]]) ).
cnf(refute_0_1941,plain,
( join(meet(meet(X_375,X_374),complement(complement(X_374))),X2) != join(meet(X_374,X_375),X2)
| join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) != join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)
| join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) = join(meet(X_374,X_375),X2) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)))),bind(Y,$fot(join(meet(meet(X_375,X_374),complement(complement(X_374))),X2))),bind(Z,$fot(join(meet(X_374,X_375),X2)))]]) ).
cnf(refute_0_1942,plain,
( join(meet(meet(X_375,X_374),complement(complement(X_374))),X2) != join(meet(X_374,X_375),X2)
| join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) = join(meet(X_374,X_375),X2) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)),join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) )],[refute_0_1940,refute_0_1941]) ).
cnf(refute_0_1943,plain,
join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) = join(meet(X_374,X_375),X2),
inference(resolve,[$cnf( $equal(join(meet(meet(X_375,X_374),complement(complement(X_374))),X2),join(meet(X_374,X_375),X2)) )],[refute_0_1939,refute_0_1942]) ).
cnf(refute_0_1944,plain,
( join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) != join(meet(X_374,X_375),X2)
| join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) != join(meet(X_375,X_374),X2)
| join(meet(X_374,X_375),X2) = join(meet(X_375,X_374),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)),join(meet(X_375,X_374),X2)) ),[0],$fot(join(meet(X_374,X_375),X2))]]) ).
cnf(refute_0_1945,plain,
( join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)) != join(meet(X_375,X_374),X2)
| join(meet(X_374,X_375),X2) = join(meet(X_375,X_374),X2) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)),join(meet(X_374,X_375),X2)) )],[refute_0_1943,refute_0_1944]) ).
cnf(refute_0_1946,plain,
join(meet(X_374,X_375),X2) = join(meet(X_375,X_374),X2),
inference(resolve,[$cnf( $equal(join(zero,join(meet(meet(X_375,X_374),complement(complement(X_374))),X2)),join(meet(X_375,X_374),X2)) )],[refute_0_1903,refute_0_1945]) ).
cnf(refute_0_1947,plain,
( join(meet(X_374,X_375),X2) != join(meet(X_375,X_374),X2)
| join(meet(X_375,X_374),X2) = join(meet(X_374,X_375),X2) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(meet(X_374,X_375),X2))),bind(Y,$fot(join(meet(X_375,X_374),X2)))]]) ).
cnf(refute_0_1948,plain,
join(meet(X_375,X_374),X2) = join(meet(X_374,X_375),X2),
inference(resolve,[$cnf( $equal(join(meet(X_374,X_375),X2),join(meet(X_375,X_374),X2)) )],[refute_0_1946,refute_0_1947]) ).
cnf(refute_0_1949,plain,
join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) = join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2)),
inference(subst,[],[refute_0_1948:[bind(X2,$fot(join(zero,X2))),bind(X_374,$fot(join(X_462,X_461))),bind(X_375,$fot(composition(join(X_461,X_462),top)))]]) ).
cnf(refute_0_1950,plain,
( join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) != join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2))
| join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2)) != join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))
| join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) = join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)))),bind(Y,$fot(join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2)))),bind(Z,$fot(join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))))]]) ).
cnf(refute_0_1951,plain,
( join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2)) != join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))
| join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) = join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)),join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2))) )],[refute_0_1949,refute_0_1950]) ).
cnf(refute_0_1952,plain,
join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) = join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))),
inference(resolve,[$cnf( $equal(join(meet(join(X_462,X_461),composition(join(X_461,X_462),top)),join(zero,X2)),join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))) )],[refute_0_1885,refute_0_1951]) ).
cnf(refute_0_1953,plain,
( join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))) != join(X2,join(X_462,X_461))
| join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) != join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))
| join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) = join(X2,join(X_462,X_461)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)))),bind(Y,$fot(join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))))),bind(Z,$fot(join(X2,join(X_462,X_461))))]]) ).
cnf(refute_0_1954,plain,
( join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))) != join(X2,join(X_462,X_461))
| join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) = join(X2,join(X_462,X_461)) ),
inference(resolve,[$cnf( $equal(join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)),join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top)))) )],[refute_0_1952,refute_0_1953]) ).
cnf(refute_0_1955,plain,
join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) = join(X2,join(X_462,X_461)),
inference(resolve,[$cnf( $equal(join(X2,meet(join(X_462,X_461),composition(join(X_461,X_462),top))),join(X2,join(X_462,X_461))) )],[refute_0_1871,refute_0_1954]) ).
cnf(refute_0_1956,plain,
( join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) != join(X2,join(X_462,X_461))
| join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) != join(join(X_462,X_461),X2)
| join(X2,join(X_462,X_461)) = join(join(X_462,X_461),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)),join(join(X_462,X_461),X2)) ),[0],$fot(join(X2,join(X_462,X_461)))]]) ).
cnf(refute_0_1957,plain,
( join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) != join(join(X_462,X_461),X2)
| join(X2,join(X_462,X_461)) = join(join(X_462,X_461),X2) ),
inference(resolve,[$cnf( $equal(join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)),join(X2,join(X_462,X_461))) )],[refute_0_1955,refute_0_1956]) ).
cnf(refute_0_1958,plain,
join(join(X_462,X_461),X2) = join(X_462,join(X_461,X2)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(X_462)),bind(X1,$fot(X_461))]]) ).
cnf(refute_0_1959,plain,
( join(X2,join(X_462,X_461)) != join(join(X_462,X_461),X2)
| join(join(X_462,X_461),X2) != join(X_462,join(X_461,X2))
| join(X2,join(X_462,X_461)) = join(X_462,join(X_461,X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X2,join(X_462,X_461)),join(X_462,join(X_461,X2))) ),[0],$fot(join(join(X_462,X_461),X2))]]) ).
cnf(refute_0_1960,plain,
( join(X2,join(X_462,X_461)) != join(join(X_462,X_461),X2)
| join(X2,join(X_462,X_461)) = join(X_462,join(X_461,X2)) ),
inference(resolve,[$cnf( $equal(join(join(X_462,X_461),X2),join(X_462,join(X_461,X2))) )],[refute_0_1958,refute_0_1959]) ).
cnf(refute_0_1961,plain,
( join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)) != join(join(X_462,X_461),X2)
| join(X2,join(X_462,X_461)) = join(X_462,join(X_461,X2)) ),
inference(resolve,[$cnf( $equal(join(X2,join(X_462,X_461)),join(join(X_462,X_461),X2)) )],[refute_0_1957,refute_0_1960]) ).
cnf(refute_0_1962,plain,
join(X2,join(X_462,X_461)) = join(X_462,join(X_461,X2)),
inference(resolve,[$cnf( $equal(join(meet(composition(join(X_461,X_462),top),join(X_462,X_461)),join(zero,X2)),join(join(X_462,X_461),X2)) )],[refute_0_1762,refute_0_1961]) ).
cnf(refute_0_1963,plain,
join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) = join(zero,join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))),
inference(subst,[],[refute_0_1962:[bind(X2,$fot(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))),bind(X_461,$fot(X2)),bind(X_462,$fot(zero))]]) ).
cnf(refute_0_1964,plain,
( join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) != join(zero,join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))))
| join(zero,join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))) != join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))
| join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) = join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)))),bind(Y,$fot(join(zero,join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))))),bind(Z,$fot(join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))))]]) ).
cnf(refute_0_1965,plain,
( join(zero,join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))) != join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))
| join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) = join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)),join(zero,join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))))) )],[refute_0_1963,refute_0_1964]) ).
cnf(refute_0_1966,plain,
join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) = join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))),
inference(resolve,[$cnf( $equal(join(zero,join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))),join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))) )],[refute_0_1753,refute_0_1965]) ).
cnf(refute_0_1967,plain,
( join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))) != join(X2,join(X_470,X_469))
| join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) != join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))
| join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) = join(X2,join(X_470,X_469)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)))),bind(Y,$fot(join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))))),bind(Z,$fot(join(X2,join(X_470,X_469))))]]) ).
cnf(refute_0_1968,plain,
( join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))) != join(X2,join(X_470,X_469))
| join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) = join(X2,join(X_470,X_469)) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)),join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)))) )],[refute_0_1966,refute_0_1967]) ).
cnf(refute_0_1969,plain,
join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) = join(X2,join(X_470,X_469)),
inference(resolve,[$cnf( $equal(join(X2,meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469))),join(X2,join(X_470,X_469))) )],[refute_0_1752,refute_0_1968]) ).
cnf(refute_0_1970,plain,
( join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) != join(X2,join(X_470,X_469))
| join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) != join(join(X_470,X_469),X2)
| join(X2,join(X_470,X_469)) = join(join(X_470,X_469),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)),join(join(X_470,X_469),X2)) ),[0],$fot(join(X2,join(X_470,X_469)))]]) ).
cnf(refute_0_1971,plain,
( join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) != join(join(X_470,X_469),X2)
| join(X2,join(X_470,X_469)) = join(join(X_470,X_469),X2) ),
inference(resolve,[$cnf( $equal(join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)),join(X2,join(X_470,X_469))) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
join(join(X_470,X_469),X2) = join(X_470,join(X_469,X2)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(X_470)),bind(X1,$fot(X_469))]]) ).
cnf(refute_0_1973,plain,
( join(X2,join(X_470,X_469)) != join(join(X_470,X_469),X2)
| join(join(X_470,X_469),X2) != join(X_470,join(X_469,X2))
| join(X2,join(X_470,X_469)) = join(X_470,join(X_469,X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X2,join(X_470,X_469)),join(X_470,join(X_469,X2))) ),[0],$fot(join(join(X_470,X_469),X2))]]) ).
cnf(refute_0_1974,plain,
( join(X2,join(X_470,X_469)) != join(join(X_470,X_469),X2)
| join(X2,join(X_470,X_469)) = join(X_470,join(X_469,X2)) ),
inference(resolve,[$cnf( $equal(join(join(X_470,X_469),X2),join(X_470,join(X_469,X2))) )],[refute_0_1972,refute_0_1973]) ).
cnf(refute_0_1975,plain,
( join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)) != join(join(X_470,X_469),X2)
| join(X2,join(X_470,X_469)) = join(X_470,join(X_469,X2)) ),
inference(resolve,[$cnf( $equal(join(X2,join(X_470,X_469)),join(join(X_470,X_469),X2)) )],[refute_0_1971,refute_0_1974]) ).
cnf(refute_0_1976,plain,
join(X2,join(X_470,X_469)) = join(X_470,join(X_469,X2)),
inference(resolve,[$cnf( $equal(join(meet(composition(top,composition(join(X_469,X_470),top)),join(X_470,X_469)),join(zero,X2)),join(join(X_470,X_469),X2)) )],[refute_0_1716,refute_0_1975]) ).
cnf(refute_0_1977,plain,
join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) = join(zero,join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))),
inference(subst,[],[refute_0_1976:[bind(X2,$fot(meet(meet(X_560,X_559),meet(X_559,X_560)))),bind(X_469,$fot(X2)),bind(X_470,$fot(zero))]]) ).
cnf(refute_0_1978,plain,
( join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) != join(zero,join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))))
| join(zero,join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))) != join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))
| join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) = join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)))),bind(Y,$fot(join(zero,join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))))),bind(Z,$fot(join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))))]]) ).
cnf(refute_0_1979,plain,
( join(zero,join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))) != join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))
| join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) = join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)),join(zero,join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))))) )],[refute_0_1977,refute_0_1978]) ).
cnf(refute_0_1980,plain,
join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) = join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))),
inference(resolve,[$cnf( $equal(join(zero,join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))),join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))) )],[refute_0_1420,refute_0_1979]) ).
cnf(refute_0_1981,plain,
( join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))) != join(X2,meet(X_560,X_559))
| join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) != join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))
| join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) = join(X2,meet(X_560,X_559)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)))),bind(Y,$fot(join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))))),bind(Z,$fot(join(X2,meet(X_560,X_559))))]]) ).
cnf(refute_0_1982,plain,
( join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))) != join(X2,meet(X_560,X_559))
| join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) = join(X2,meet(X_560,X_559)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)),join(X2,meet(meet(X_560,X_559),meet(X_559,X_560)))) )],[refute_0_1980,refute_0_1981]) ).
cnf(refute_0_1983,plain,
join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) = join(X2,meet(X_560,X_559)),
inference(resolve,[$cnf( $equal(join(X2,meet(meet(X_560,X_559),meet(X_559,X_560))),join(X2,meet(X_560,X_559))) )],[refute_0_1419,refute_0_1982]) ).
cnf(refute_0_1984,plain,
( join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) != join(X2,meet(X_560,X_559))
| join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) != join(meet(X_559,X_560),X2)
| join(X2,meet(X_560,X_559)) = join(meet(X_559,X_560),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)),join(meet(X_559,X_560),X2)) ),[0],$fot(join(X2,meet(X_560,X_559)))]]) ).
cnf(refute_0_1985,plain,
( join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)) != join(meet(X_559,X_560),X2)
| join(X2,meet(X_560,X_559)) = join(meet(X_559,X_560),X2) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)),join(X2,meet(X_560,X_559))) )],[refute_0_1983,refute_0_1984]) ).
cnf(refute_0_1986,plain,
join(X2,meet(X_560,X_559)) = join(meet(X_559,X_560),X2),
inference(resolve,[$cnf( $equal(join(meet(meet(X_560,X_559),meet(X_559,X_560)),join(zero,X2)),join(meet(X_559,X_560),X2)) )],[refute_0_1401,refute_0_1985]) ).
cnf(refute_0_1987,plain,
( join(X2,meet(X_560,X_559)) != join(meet(X_559,X_560),X2)
| join(meet(X_559,X_560),X2) = join(X2,meet(X_560,X_559)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X2,meet(X_560,X_559)))),bind(Y,$fot(join(meet(X_559,X_560),X2)))]]) ).
cnf(refute_0_1988,plain,
join(meet(X_559,X_560),X2) = join(X2,meet(X_560,X_559)),
inference(resolve,[$cnf( $equal(join(X2,meet(X_560,X_559)),join(meet(X_559,X_560),X2)) )],[refute_0_1986,refute_0_1987]) ).
cnf(refute_0_1989,plain,
join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))) = join(complement(meet(X_226,X_225)),meet(X_225,complement(X_226))),
inference(subst,[],[refute_0_1988:[bind(X2,$fot(complement(meet(X_226,X_225)))),bind(X_559,$fot(complement(X_226))),bind(X_560,$fot(X_225))]]) ).
cnf(refute_0_1990,plain,
( join(complement(meet(X_226,X_225)),meet(X_225,complement(X_226))) != complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))
| join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))) != join(complement(meet(X_226,X_225)),meet(X_225,complement(X_226)))
| join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))) = complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))))),bind(Y,$fot(join(complement(meet(X_226,X_225)),meet(X_225,complement(X_226))))),bind(Z,$fot(complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))))]]) ).
cnf(refute_0_1991,plain,
( join(complement(meet(X_226,X_225)),meet(X_225,complement(X_226))) != complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))
| join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))) = complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))),join(complement(meet(X_226,X_225)),meet(X_225,complement(X_226)))) )],[refute_0_1989,refute_0_1990]) ).
cnf(refute_0_1992,plain,
join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))) = complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))),
inference(resolve,[$cnf( $equal(join(complement(meet(X_226,X_225)),meet(X_225,complement(X_226))),complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) )],[refute_0_1251,refute_0_1991]) ).
cnf(refute_0_1993,plain,
meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) = meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))),
introduced(tautology,[refl,[$fot(meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))))]]) ).
cnf(refute_0_1994,plain,
( join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))) != complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))
| meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) != meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))))
| meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) = meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))),meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))))) ),[1,1],$fot(complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))))]]) ).
cnf(refute_0_1995,plain,
( join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))) != complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))
| meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) = meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) ),
inference(resolve,[$cnf( $equal(meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))),meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))))) )],[refute_0_1993,refute_0_1994]) ).
cnf(refute_0_1996,plain,
meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) = meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))),
inference(resolve,[$cnf( $equal(join(meet(complement(X_226),X_225),complement(meet(X_226,X_225))),complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) )],[refute_0_1992,refute_0_1995]) ).
cnf(refute_0_1997,plain,
( meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) != meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))))
| meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) != meet(complement(X_226),X_225)
| meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) = meet(complement(X_226),X_225) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))),meet(complement(X_226),X_225)) ),[0],$fot(meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))))]]) ).
cnf(refute_0_1998,plain,
( meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))) != meet(complement(X_226),X_225)
| meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) = meet(complement(X_226),X_225) ),
inference(resolve,[$cnf( $equal(meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))),meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))))) )],[refute_0_1996,refute_0_1997]) ).
cnf(refute_0_1999,plain,
meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) = meet(complement(X_226),X_225),
inference(resolve,[$cnf( $equal(meet(X_225,join(meet(complement(X_226),X_225),complement(meet(X_226,X_225)))),meet(complement(X_226),X_225)) )],[refute_0_1236,refute_0_1998]) ).
cnf(refute_0_2000,plain,
meet(X_225,complement(meet(X_226,X_225))) = meet(X_225,complement(X_226)),
inference(subst,[],[refute_0_1378:[bind(X_451,$fot(X_225)),bind(X_97,$fot(X_226))]]) ).
cnf(refute_0_2001,plain,
X_96 = meet(X_96,join(X_96,join(X_251,X_252))),
inference(subst,[],[refute_0_644:[bind(X_36,$fot(join(X_251,X_252)))]]) ).
cnf(refute_0_2002,plain,
join(X_96,join(X_251,X_252)) = join(X_251,join(X_96,X_252)),
inference(subst,[],[refute_0_399:[bind(X_34,$fot(X_96)),bind(X_35,$fot(X_251)),bind(X_36,$fot(X_252))]]) ).
cnf(refute_0_2003,plain,
( X_96 != meet(X_96,join(X_96,join(X_251,X_252)))
| join(X_96,join(X_251,X_252)) != join(X_251,join(X_96,X_252))
| X_96 = meet(X_96,join(X_251,join(X_96,X_252))) ),
introduced(tautology,[equality,[$cnf( $equal(X_96,meet(X_96,join(X_96,join(X_251,X_252)))) ),[1,1],$fot(join(X_251,join(X_96,X_252)))]]) ).
cnf(refute_0_2004,plain,
( X_96 != meet(X_96,join(X_96,join(X_251,X_252)))
| X_96 = meet(X_96,join(X_251,join(X_96,X_252))) ),
inference(resolve,[$cnf( $equal(join(X_96,join(X_251,X_252)),join(X_251,join(X_96,X_252))) )],[refute_0_2002,refute_0_2003]) ).
cnf(refute_0_2005,plain,
X_96 = meet(X_96,join(X_251,join(X_96,X_252))),
inference(resolve,[$cnf( $equal(X_96,meet(X_96,join(X_96,join(X_251,X_252)))) )],[refute_0_2001,refute_0_2004]) ).
cnf(refute_0_2006,plain,
meet(X_96,X_97) = meet(meet(X_96,X_97),join(X_915,join(meet(X_96,X_97),meet(complement(X_97),X_96)))),
inference(subst,[],[refute_0_2005:[bind(X_251,$fot(X_915)),bind(X_252,$fot(meet(complement(X_97),X_96))),bind(X_96,$fot(meet(X_96,X_97)))]]) ).
cnf(refute_0_2007,plain,
( X_96 != join(meet(X_96,X_97),meet(complement(X_97),X_96))
| join(meet(X_96,X_97),meet(complement(X_97),X_96)) = X_96 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_96)),bind(Y,$fot(join(meet(X_96,X_97),meet(complement(X_97),X_96))))]]) ).
cnf(refute_0_2008,plain,
join(meet(X_96,X_97),meet(complement(X_97),X_96)) = X_96,
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,X_97),meet(complement(X_97),X_96))) )],[refute_0_373,refute_0_2007]) ).
cnf(refute_0_2009,plain,
( join(meet(X_96,X_97),meet(complement(X_97),X_96)) != X_96
| meet(X_96,X_97) != meet(meet(X_96,X_97),join(X_915,join(meet(X_96,X_97),meet(complement(X_97),X_96))))
| meet(X_96,X_97) = meet(meet(X_96,X_97),join(X_915,X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_96,X_97),meet(meet(X_96,X_97),join(X_915,join(meet(X_96,X_97),meet(complement(X_97),X_96))))) ),[1,1,1],$fot(X_96)]]) ).
cnf(refute_0_2010,plain,
( meet(X_96,X_97) != meet(meet(X_96,X_97),join(X_915,join(meet(X_96,X_97),meet(complement(X_97),X_96))))
| meet(X_96,X_97) = meet(meet(X_96,X_97),join(X_915,X_96)) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,X_97),meet(complement(X_97),X_96)),X_96) )],[refute_0_2008,refute_0_2009]) ).
cnf(refute_0_2011,plain,
meet(X_96,X_97) = meet(meet(X_96,X_97),join(X_915,X_96)),
inference(resolve,[$cnf( $equal(meet(X_96,X_97),meet(meet(X_96,X_97),join(X_915,join(meet(X_96,X_97),meet(complement(X_97),X_96))))) )],[refute_0_2006,refute_0_2010]) ).
cnf(refute_0_2012,plain,
( meet(X_96,X_97) != meet(meet(X_96,X_97),join(X_915,X_96))
| meet(meet(X_96,X_97),join(X_915,X_96)) = meet(X_96,X_97) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_96,X_97))),bind(Y,$fot(meet(meet(X_96,X_97),join(X_915,X_96))))]]) ).
cnf(refute_0_2013,plain,
meet(meet(X_96,X_97),join(X_915,X_96)) = meet(X_96,X_97),
inference(resolve,[$cnf( $equal(meet(X_96,X_97),meet(meet(X_96,X_97),join(X_915,X_96))) )],[refute_0_2011,refute_0_2012]) ).
cnf(refute_0_2014,plain,
meet(meet(X_226,X_225),join(complement(X_225),X_226)) = meet(X_226,X_225),
inference(subst,[],[refute_0_2013:[bind(X_915,$fot(complement(X_225))),bind(X_96,$fot(X_226)),bind(X_97,$fot(X_225))]]) ).
cnf(refute_0_2015,plain,
complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))) = complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))),
introduced(tautology,[refl,[$fot(complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))))]]) ).
cnf(refute_0_2016,plain,
( complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))) != complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))
| meet(meet(X_226,X_225),join(complement(X_225),X_226)) != meet(X_226,X_225)
| complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))) = complement(meet(X_226,X_225)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))),complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) ),[1,0],$fot(meet(X_226,X_225))]]) ).
cnf(refute_0_2017,plain,
( meet(meet(X_226,X_225),join(complement(X_225),X_226)) != meet(X_226,X_225)
| complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))) = complement(meet(X_226,X_225)) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))),complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) )],[refute_0_2015,refute_0_2016]) ).
cnf(refute_0_2018,plain,
complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))) = complement(meet(X_226,X_225)),
inference(resolve,[$cnf( $equal(meet(meet(X_226,X_225),join(complement(X_225),X_226)),meet(X_226,X_225)) )],[refute_0_2014,refute_0_2017]) ).
cnf(refute_0_2019,plain,
meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) = meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))),
introduced(tautology,[refl,[$fot(meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))))]]) ).
cnf(refute_0_2020,plain,
( complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))) != complement(meet(X_226,X_225))
| meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) != meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))))
| meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) = meet(X_225,complement(meet(X_226,X_225))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))),meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))))) ),[1,1],$fot(complement(meet(X_226,X_225)))]]) ).
cnf(refute_0_2021,plain,
( complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))) != complement(meet(X_226,X_225))
| meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) = meet(X_225,complement(meet(X_226,X_225))) ),
inference(resolve,[$cnf( $equal(meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))),meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))))) )],[refute_0_2019,refute_0_2020]) ).
cnf(refute_0_2022,plain,
meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) = meet(X_225,complement(meet(X_226,X_225))),
inference(resolve,[$cnf( $equal(complement(meet(meet(X_226,X_225),join(complement(X_225),X_226))),complement(meet(X_226,X_225))) )],[refute_0_2018,refute_0_2021]) ).
cnf(refute_0_2023,plain,
( meet(X_225,complement(meet(X_226,X_225))) != meet(X_225,complement(X_226))
| meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) != meet(X_225,complement(meet(X_226,X_225)))
| meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) = meet(X_225,complement(X_226)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))))),bind(Y,$fot(meet(X_225,complement(meet(X_226,X_225))))),bind(Z,$fot(meet(X_225,complement(X_226))))]]) ).
cnf(refute_0_2024,plain,
( meet(X_225,complement(meet(X_226,X_225))) != meet(X_225,complement(X_226))
| meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) = meet(X_225,complement(X_226)) ),
inference(resolve,[$cnf( $equal(meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))),meet(X_225,complement(meet(X_226,X_225)))) )],[refute_0_2022,refute_0_2023]) ).
cnf(refute_0_2025,plain,
meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) = meet(X_225,complement(X_226)),
inference(resolve,[$cnf( $equal(meet(X_225,complement(meet(X_226,X_225))),meet(X_225,complement(X_226))) )],[refute_0_2000,refute_0_2024]) ).
cnf(refute_0_2026,plain,
( meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) != meet(X_225,complement(X_226))
| meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) != meet(complement(X_226),X_225)
| meet(X_225,complement(X_226)) = meet(complement(X_226),X_225) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))),meet(complement(X_226),X_225)) ),[0],$fot(meet(X_225,complement(X_226)))]]) ).
cnf(refute_0_2027,plain,
( meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))) != meet(complement(X_226),X_225)
| meet(X_225,complement(X_226)) = meet(complement(X_226),X_225) ),
inference(resolve,[$cnf( $equal(meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))),meet(X_225,complement(X_226))) )],[refute_0_2025,refute_0_2026]) ).
cnf(refute_0_2028,plain,
meet(X_225,complement(X_226)) = meet(complement(X_226),X_225),
inference(resolve,[$cnf( $equal(meet(X_225,complement(meet(meet(X_226,X_225),join(complement(X_225),X_226)))),meet(complement(X_226),X_225)) )],[refute_0_1999,refute_0_2027]) ).
cnf(refute_0_2029,plain,
( meet(X_225,complement(X_226)) != meet(complement(X_226),X_225)
| meet(complement(X_226),X_225) = meet(X_225,complement(X_226)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_225,complement(X_226)))),bind(Y,$fot(meet(complement(X_226),X_225)))]]) ).
cnf(refute_0_2030,plain,
meet(complement(X_226),X_225) = meet(X_225,complement(X_226)),
inference(resolve,[$cnf( $equal(meet(X_225,complement(X_226)),meet(complement(X_226),X_225)) )],[refute_0_2028,refute_0_2029]) ).
cnf(refute_0_2031,plain,
meet(complement(X_456),zero) = meet(zero,complement(X_456)),
inference(subst,[],[refute_0_2030:[bind(X_225,$fot(zero)),bind(X_226,$fot(X_456))]]) ).
cnf(refute_0_2032,plain,
( meet(complement(X_456),zero) != meet(zero,complement(X_456))
| meet(zero,complement(X_456)) != zero
| meet(complement(X_456),zero) = zero ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(complement(X_456),zero))),bind(Y,$fot(meet(zero,complement(X_456)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2033,plain,
( meet(zero,complement(X_456)) != zero
| meet(complement(X_456),zero) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X_456),zero),meet(zero,complement(X_456))) )],[refute_0_2031,refute_0_2032]) ).
cnf(refute_0_2034,plain,
meet(complement(X_456),zero) = zero,
inference(resolve,[$cnf( $equal(meet(zero,complement(X_456)),zero) )],[refute_0_1224,refute_0_2033]) ).
cnf(refute_0_2035,plain,
converse(composition(converse(X0),zero)) = composition(converse(zero),X0),
inference(subst,[],[refute_0_98:[bind(X_12,$fot(zero))]]) ).
cnf(refute_0_2036,plain,
composition(join(top,X1),complement(composition(top,top))) = join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top)))),
inference(subst,[],[refute_0_154:[bind(X0,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2037,plain,
join(complement(top),composition(converse(X_64),complement(composition(X_64,top)))) = complement(top),
inference(subst,[],[refute_0_91:[bind(X0,$fot(X_64)),bind(X1,$fot(top))]]) ).
cnf(refute_0_2038,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X_64),complement(composition(X_64,top)))) != complement(top)
| join(zero,composition(converse(X_64),complement(composition(X_64,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X_64),complement(composition(X_64,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2039,plain,
( join(complement(top),composition(converse(X_64),complement(composition(X_64,top)))) != complement(top)
| join(zero,composition(converse(X_64),complement(composition(X_64,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_2038]) ).
cnf(refute_0_2040,plain,
join(zero,composition(converse(X_64),complement(composition(X_64,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X_64),complement(composition(X_64,top)))),complement(top)) )],[refute_0_2037,refute_0_2039]) ).
cnf(refute_0_2041,plain,
( complement(top) != zero
| join(zero,composition(converse(X_64),complement(composition(X_64,top)))) != complement(top)
| join(zero,composition(converse(X_64),complement(composition(X_64,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_64),complement(composition(X_64,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2042,plain,
( join(zero,composition(converse(X_64),complement(composition(X_64,top)))) != complement(top)
| join(zero,composition(converse(X_64),complement(composition(X_64,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_2041]) ).
cnf(refute_0_2043,plain,
join(zero,composition(converse(X_64),complement(composition(X_64,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_64),complement(composition(X_64,top)))),complement(top)) )],[refute_0_2040,refute_0_2042]) ).
cnf(refute_0_2044,plain,
join(zero,composition(converse(top),complement(composition(top,top)))) = zero,
inference(subst,[],[refute_0_2043:[bind(X_64,$fot(top))]]) ).
cnf(refute_0_2045,plain,
( converse(top) != top
| join(zero,composition(converse(top),complement(composition(top,top)))) != zero
| join(zero,composition(top,complement(composition(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(top),complement(composition(top,top)))),zero) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_2046,plain,
( join(zero,composition(converse(top),complement(composition(top,top)))) != zero
| join(zero,composition(top,complement(composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_893,refute_0_2045]) ).
cnf(refute_0_2047,plain,
join(zero,composition(top,complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(top),complement(composition(top,top)))),zero) )],[refute_0_2044,refute_0_2046]) ).
cnf(refute_0_2048,plain,
join(zero,composition(top,complement(composition(top,top)))) = composition(top,complement(composition(top,top))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(composition(top,complement(composition(top,top)))))]]) ).
cnf(refute_0_2049,plain,
( join(zero,composition(top,complement(composition(top,top)))) != composition(top,complement(composition(top,top)))
| join(zero,composition(top,complement(composition(top,top)))) != zero
| composition(top,complement(composition(top,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) ),[0],$fot(composition(top,complement(composition(top,top))))]]) ).
cnf(refute_0_2050,plain,
( join(zero,composition(top,complement(composition(top,top)))) != zero
| composition(top,complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),composition(top,complement(composition(top,top)))) )],[refute_0_2048,refute_0_2049]) ).
cnf(refute_0_2051,plain,
composition(top,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) )],[refute_0_2047,refute_0_2050]) ).
cnf(refute_0_2052,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2053,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))
| composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_2051,refute_0_2052]) ).
cnf(refute_0_2054,plain,
composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))) )],[refute_0_2036,refute_0_2053]) ).
cnf(refute_0_2055,plain,
composition(join(top,one),complement(composition(top,top))) = join(complement(composition(top,top)),composition(top,complement(composition(top,top)))),
inference(subst,[],[refute_0_165:[bind(X_58,$fot(top)),bind(X_60,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2056,plain,
( composition(join(top,one),complement(composition(top,top))) != join(complement(composition(top,top)),composition(top,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(top,one),complement(composition(top,top))) = join(complement(composition(top,top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,one),complement(composition(top,top))),join(complement(composition(top,top)),composition(top,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2057,plain,
( composition(join(top,one),complement(composition(top,top))) != join(complement(composition(top,top)),composition(top,complement(composition(top,top))))
| composition(join(top,one),complement(composition(top,top))) = join(complement(composition(top,top)),zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_2051,refute_0_2056]) ).
cnf(refute_0_2058,plain,
composition(join(top,one),complement(composition(top,top))) = join(complement(composition(top,top)),zero),
inference(resolve,[$cnf( $equal(composition(join(top,one),complement(composition(top,top))),join(complement(composition(top,top)),composition(top,complement(composition(top,top))))) )],[refute_0_2055,refute_0_2057]) ).
cnf(refute_0_2059,plain,
join(one,top) = top,
inference(subst,[],[refute_0_262:[bind(X_41,$fot(one))]]) ).
cnf(refute_0_2060,plain,
composition(join(one,top),complement(composition(top,top))) = composition(join(one,top),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(one,top),complement(composition(top,top))))]]) ).
cnf(refute_0_2061,plain,
( composition(join(one,top),complement(composition(top,top))) != composition(join(one,top),complement(composition(top,top)))
| join(one,top) != top
| composition(join(one,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),complement(composition(top,top))),composition(join(one,top),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2062,plain,
( join(one,top) != top
| composition(join(one,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),complement(composition(top,top))),composition(join(one,top),complement(composition(top,top)))) )],[refute_0_2060,refute_0_2061]) ).
cnf(refute_0_2063,plain,
composition(join(one,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2059,refute_0_2062]) ).
cnf(refute_0_2064,plain,
( composition(join(one,top),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != zero
| composition(join(one,top),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(join(one,top),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2065,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(join(one,top),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(one,top),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_2063,refute_0_2064]) ).
cnf(refute_0_2066,plain,
composition(join(one,top),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_2051,refute_0_2065]) ).
cnf(refute_0_2067,plain,
composition(join(join(one,one),X1),X2) = join(composition(join(one,one),X2),composition(X1,X2)),
inference(subst,[],[refute_0_154:[bind(X0,$fot(join(one,one)))]]) ).
cnf(refute_0_2068,plain,
composition(join(one,one),X2) = join(X2,X2),
inference(subst,[],[refute_0_202:[bind(X_62,$fot(X2))]]) ).
cnf(refute_0_2069,plain,
( composition(join(join(one,one),X1),X2) != join(composition(join(one,one),X2),composition(X1,X2))
| composition(join(one,one),X2) != join(X2,X2)
| composition(join(join(one,one),X1),X2) = join(join(X2,X2),composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),X1),X2),join(composition(join(one,one),X2),composition(X1,X2))) ),[1,0],$fot(join(X2,X2))]]) ).
cnf(refute_0_2070,plain,
( composition(join(join(one,one),X1),X2) != join(composition(join(one,one),X2),composition(X1,X2))
| composition(join(join(one,one),X1),X2) = join(join(X2,X2),composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X2),join(X2,X2)) )],[refute_0_2068,refute_0_2069]) ).
cnf(refute_0_2071,plain,
composition(join(join(one,one),X1),X2) = join(join(X2,X2),composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),X1),X2),join(composition(join(one,one),X2),composition(X1,X2))) )],[refute_0_2067,refute_0_2070]) ).
cnf(refute_0_2072,plain,
join(join(one,one),X1) = join(one,join(one,X1)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_2073,plain,
composition(join(join(one,one),X1),X2) = composition(join(join(one,one),X1),X2),
introduced(tautology,[refl,[$fot(composition(join(join(one,one),X1),X2))]]) ).
cnf(refute_0_2074,plain,
( composition(join(join(one,one),X1),X2) != composition(join(join(one,one),X1),X2)
| join(join(one,one),X1) != join(one,join(one,X1))
| composition(join(join(one,one),X1),X2) = composition(join(one,join(one,X1)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),X1),X2),composition(join(join(one,one),X1),X2)) ),[1,0],$fot(join(one,join(one,X1)))]]) ).
cnf(refute_0_2075,plain,
( join(join(one,one),X1) != join(one,join(one,X1))
| composition(join(join(one,one),X1),X2) = composition(join(one,join(one,X1)),X2) ),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),X1),X2),composition(join(join(one,one),X1),X2)) )],[refute_0_2073,refute_0_2074]) ).
cnf(refute_0_2076,plain,
composition(join(join(one,one),X1),X2) = composition(join(one,join(one,X1)),X2),
inference(resolve,[$cnf( $equal(join(join(one,one),X1),join(one,join(one,X1))) )],[refute_0_2072,refute_0_2075]) ).
cnf(refute_0_2077,plain,
( composition(join(join(one,one),X1),X2) != composition(join(one,join(one,X1)),X2)
| composition(join(join(one,one),X1),X2) != join(join(X2,X2),composition(X1,X2))
| composition(join(one,join(one,X1)),X2) = join(join(X2,X2),composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),X1),X2),join(join(X2,X2),composition(X1,X2))) ),[0],$fot(composition(join(one,join(one,X1)),X2))]]) ).
cnf(refute_0_2078,plain,
( composition(join(join(one,one),X1),X2) != join(join(X2,X2),composition(X1,X2))
| composition(join(one,join(one,X1)),X2) = join(join(X2,X2),composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),X1),X2),composition(join(one,join(one,X1)),X2)) )],[refute_0_2076,refute_0_2077]) ).
cnf(refute_0_2079,plain,
composition(join(join(X1,one),one),X2) = composition(join(one,join(X1,one)),X2),
inference(subst,[],[refute_0_180:[bind(X_61,$fot(join(X1,one))),bind(X_62,$fot(X2))]]) ).
cnf(refute_0_2080,plain,
join(X2,composition(join(X1,one),X2)) = composition(join(join(X1,one),one),X2),
inference(subst,[],[refute_0_174:[bind(X_58,$fot(join(X1,one))),bind(X_60,$fot(X2))]]) ).
cnf(refute_0_2081,plain,
( composition(join(join(X1,one),one),X2) != composition(join(one,join(X1,one)),X2)
| join(X2,composition(join(X1,one),X2)) != composition(join(join(X1,one),one),X2)
| join(X2,composition(join(X1,one),X2)) = composition(join(one,join(X1,one)),X2) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(X2,composition(join(X1,one),X2)))),bind(Y,$fot(composition(join(join(X1,one),one),X2))),bind(Z,$fot(composition(join(one,join(X1,one)),X2)))]]) ).
cnf(refute_0_2082,plain,
( composition(join(join(X1,one),one),X2) != composition(join(one,join(X1,one)),X2)
| join(X2,composition(join(X1,one),X2)) = composition(join(one,join(X1,one)),X2) ),
inference(resolve,[$cnf( $equal(join(X2,composition(join(X1,one),X2)),composition(join(join(X1,one),one),X2)) )],[refute_0_2080,refute_0_2081]) ).
cnf(refute_0_2083,plain,
join(X2,composition(join(X1,one),X2)) = composition(join(one,join(X1,one)),X2),
inference(resolve,[$cnf( $equal(composition(join(join(X1,one),one),X2),composition(join(one,join(X1,one)),X2)) )],[refute_0_2079,refute_0_2082]) ).
cnf(refute_0_2084,plain,
join(X2,composition(X1,X2)) = composition(join(X1,one),X2),
inference(subst,[],[refute_0_174:[bind(X_58,$fot(X1)),bind(X_60,$fot(X2))]]) ).
cnf(refute_0_2085,plain,
join(X2,join(X2,composition(X1,X2))) = join(X2,join(X2,composition(X1,X2))),
introduced(tautology,[refl,[$fot(join(X2,join(X2,composition(X1,X2))))]]) ).
cnf(refute_0_2086,plain,
( join(X2,composition(X1,X2)) != composition(join(X1,one),X2)
| join(X2,join(X2,composition(X1,X2))) != join(X2,join(X2,composition(X1,X2)))
| join(X2,join(X2,composition(X1,X2))) = join(X2,composition(join(X1,one),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X2,join(X2,composition(X1,X2))),join(X2,join(X2,composition(X1,X2)))) ),[1,1],$fot(composition(join(X1,one),X2))]]) ).
cnf(refute_0_2087,plain,
( join(X2,composition(X1,X2)) != composition(join(X1,one),X2)
| join(X2,join(X2,composition(X1,X2))) = join(X2,composition(join(X1,one),X2)) ),
inference(resolve,[$cnf( $equal(join(X2,join(X2,composition(X1,X2))),join(X2,join(X2,composition(X1,X2)))) )],[refute_0_2085,refute_0_2086]) ).
cnf(refute_0_2088,plain,
join(X2,join(X2,composition(X1,X2))) = join(X2,composition(join(X1,one),X2)),
inference(resolve,[$cnf( $equal(join(X2,composition(X1,X2)),composition(join(X1,one),X2)) )],[refute_0_2084,refute_0_2087]) ).
cnf(refute_0_2089,plain,
( join(X2,composition(join(X1,one),X2)) != composition(join(one,join(X1,one)),X2)
| join(X2,join(X2,composition(X1,X2))) != join(X2,composition(join(X1,one),X2))
| join(X2,join(X2,composition(X1,X2))) = composition(join(one,join(X1,one)),X2) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(X2,join(X2,composition(X1,X2))))),bind(Y,$fot(join(X2,composition(join(X1,one),X2)))),bind(Z,$fot(composition(join(one,join(X1,one)),X2)))]]) ).
cnf(refute_0_2090,plain,
( join(X2,composition(join(X1,one),X2)) != composition(join(one,join(X1,one)),X2)
| join(X2,join(X2,composition(X1,X2))) = composition(join(one,join(X1,one)),X2) ),
inference(resolve,[$cnf( $equal(join(X2,join(X2,composition(X1,X2))),join(X2,composition(join(X1,one),X2))) )],[refute_0_2088,refute_0_2089]) ).
cnf(refute_0_2091,plain,
join(X2,join(X2,composition(X1,X2))) = composition(join(one,join(X1,one)),X2),
inference(resolve,[$cnf( $equal(join(X2,composition(join(X1,one),X2)),composition(join(one,join(X1,one)),X2)) )],[refute_0_2083,refute_0_2090]) ).
cnf(refute_0_2092,plain,
join(join(X2,X2),composition(X1,X2)) = join(X2,join(X2,composition(X1,X2))),
inference(subst,[],[refute_0_395:[bind(X0,$fot(X2)),bind(X1,$fot(X2)),bind(X2,$fot(composition(X1,X2)))]]) ).
cnf(refute_0_2093,plain,
( join(X2,join(X2,composition(X1,X2))) != composition(join(one,join(X1,one)),X2)
| join(join(X2,X2),composition(X1,X2)) != join(X2,join(X2,composition(X1,X2)))
| join(join(X2,X2),composition(X1,X2)) = composition(join(one,join(X1,one)),X2) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(join(X2,X2),composition(X1,X2)))),bind(Y,$fot(join(X2,join(X2,composition(X1,X2))))),bind(Z,$fot(composition(join(one,join(X1,one)),X2)))]]) ).
cnf(refute_0_2094,plain,
( join(X2,join(X2,composition(X1,X2))) != composition(join(one,join(X1,one)),X2)
| join(join(X2,X2),composition(X1,X2)) = composition(join(one,join(X1,one)),X2) ),
inference(resolve,[$cnf( $equal(join(join(X2,X2),composition(X1,X2)),join(X2,join(X2,composition(X1,X2)))) )],[refute_0_2092,refute_0_2093]) ).
cnf(refute_0_2095,plain,
join(join(X2,X2),composition(X1,X2)) = composition(join(one,join(X1,one)),X2),
inference(resolve,[$cnf( $equal(join(X2,join(X2,composition(X1,X2))),composition(join(one,join(X1,one)),X2)) )],[refute_0_2091,refute_0_2094]) ).
cnf(refute_0_2096,plain,
( composition(join(one,join(one,X1)),X2) != join(join(X2,X2),composition(X1,X2))
| join(join(X2,X2),composition(X1,X2)) != composition(join(one,join(X1,one)),X2)
| composition(join(one,join(one,X1)),X2) = composition(join(one,join(X1,one)),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(one,X1)),X2),composition(join(one,join(X1,one)),X2)) ),[0],$fot(join(join(X2,X2),composition(X1,X2)))]]) ).
cnf(refute_0_2097,plain,
( composition(join(one,join(one,X1)),X2) != join(join(X2,X2),composition(X1,X2))
| composition(join(one,join(one,X1)),X2) = composition(join(one,join(X1,one)),X2) ),
inference(resolve,[$cnf( $equal(join(join(X2,X2),composition(X1,X2)),composition(join(one,join(X1,one)),X2)) )],[refute_0_2095,refute_0_2096]) ).
cnf(refute_0_2098,plain,
( composition(join(join(one,one),X1),X2) != join(join(X2,X2),composition(X1,X2))
| composition(join(one,join(one,X1)),X2) = composition(join(one,join(X1,one)),X2) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),X2),join(join(X2,X2),composition(X1,X2))) )],[refute_0_2078,refute_0_2097]) ).
cnf(refute_0_2099,plain,
composition(join(one,join(one,X1)),X2) = composition(join(one,join(X1,one)),X2),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),X1),X2),join(join(X2,X2),composition(X1,X2))) )],[refute_0_2071,refute_0_2098]) ).
cnf(refute_0_2100,plain,
composition(join(X0,join(one,one)),X2) = join(composition(X0,X2),composition(join(one,one),X2)),
inference(subst,[],[refute_0_154:[bind(X1,$fot(join(one,one)))]]) ).
cnf(refute_0_2101,plain,
( composition(join(X0,join(one,one)),X2) != join(composition(X0,X2),composition(join(one,one),X2))
| composition(join(one,one),X2) != join(X2,X2)
| composition(join(X0,join(one,one)),X2) = join(composition(X0,X2),join(X2,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(one,one)),X2),join(composition(X0,X2),composition(join(one,one),X2))) ),[1,1],$fot(join(X2,X2))]]) ).
cnf(refute_0_2102,plain,
( composition(join(X0,join(one,one)),X2) != join(composition(X0,X2),composition(join(one,one),X2))
| composition(join(X0,join(one,one)),X2) = join(composition(X0,X2),join(X2,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X2),join(X2,X2)) )],[refute_0_2068,refute_0_2101]) ).
cnf(refute_0_2103,plain,
composition(join(X0,join(one,one)),X2) = join(composition(X0,X2),join(X2,X2)),
inference(resolve,[$cnf( $equal(composition(join(X0,join(one,one)),X2),join(composition(X0,X2),composition(join(one,one),X2))) )],[refute_0_2100,refute_0_2102]) ).
cnf(refute_0_2104,plain,
composition(join(join(X0,one),one),X2) = composition(join(one,join(X0,one)),X2),
inference(subst,[],[refute_0_180:[bind(X_61,$fot(join(X0,one))),bind(X_62,$fot(X2))]]) ).
cnf(refute_0_2105,plain,
join(X2,composition(join(X0,one),X2)) = composition(join(join(X0,one),one),X2),
inference(subst,[],[refute_0_174:[bind(X_58,$fot(join(X0,one))),bind(X_60,$fot(X2))]]) ).
cnf(refute_0_2106,plain,
( composition(join(join(X0,one),one),X2) != composition(join(one,join(X0,one)),X2)
| join(X2,composition(join(X0,one),X2)) != composition(join(join(X0,one),one),X2)
| join(X2,composition(join(X0,one),X2)) = composition(join(one,join(X0,one)),X2) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(X2,composition(join(X0,one),X2)))),bind(Y,$fot(composition(join(join(X0,one),one),X2))),bind(Z,$fot(composition(join(one,join(X0,one)),X2)))]]) ).
cnf(refute_0_2107,plain,
( composition(join(join(X0,one),one),X2) != composition(join(one,join(X0,one)),X2)
| join(X2,composition(join(X0,one),X2)) = composition(join(one,join(X0,one)),X2) ),
inference(resolve,[$cnf( $equal(join(X2,composition(join(X0,one),X2)),composition(join(join(X0,one),one),X2)) )],[refute_0_2105,refute_0_2106]) ).
cnf(refute_0_2108,plain,
join(X2,composition(join(X0,one),X2)) = composition(join(one,join(X0,one)),X2),
inference(resolve,[$cnf( $equal(composition(join(join(X0,one),one),X2),composition(join(one,join(X0,one)),X2)) )],[refute_0_2104,refute_0_2107]) ).
cnf(refute_0_2109,plain,
join(X2,composition(X0,X2)) = composition(join(X0,one),X2),
inference(subst,[],[refute_0_174:[bind(X_58,$fot(X0)),bind(X_60,$fot(X2))]]) ).
cnf(refute_0_2110,plain,
join(X2,join(X2,composition(X0,X2))) = join(X2,join(X2,composition(X0,X2))),
introduced(tautology,[refl,[$fot(join(X2,join(X2,composition(X0,X2))))]]) ).
cnf(refute_0_2111,plain,
( join(X2,composition(X0,X2)) != composition(join(X0,one),X2)
| join(X2,join(X2,composition(X0,X2))) != join(X2,join(X2,composition(X0,X2)))
| join(X2,join(X2,composition(X0,X2))) = join(X2,composition(join(X0,one),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X2,join(X2,composition(X0,X2))),join(X2,join(X2,composition(X0,X2)))) ),[1,1],$fot(composition(join(X0,one),X2))]]) ).
cnf(refute_0_2112,plain,
( join(X2,composition(X0,X2)) != composition(join(X0,one),X2)
| join(X2,join(X2,composition(X0,X2))) = join(X2,composition(join(X0,one),X2)) ),
inference(resolve,[$cnf( $equal(join(X2,join(X2,composition(X0,X2))),join(X2,join(X2,composition(X0,X2)))) )],[refute_0_2110,refute_0_2111]) ).
cnf(refute_0_2113,plain,
join(X2,join(X2,composition(X0,X2))) = join(X2,composition(join(X0,one),X2)),
inference(resolve,[$cnf( $equal(join(X2,composition(X0,X2)),composition(join(X0,one),X2)) )],[refute_0_2109,refute_0_2112]) ).
cnf(refute_0_2114,plain,
( join(X2,composition(join(X0,one),X2)) != composition(join(one,join(X0,one)),X2)
| join(X2,join(X2,composition(X0,X2))) != join(X2,composition(join(X0,one),X2))
| join(X2,join(X2,composition(X0,X2))) = composition(join(one,join(X0,one)),X2) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(X2,join(X2,composition(X0,X2))))),bind(Y,$fot(join(X2,composition(join(X0,one),X2)))),bind(Z,$fot(composition(join(one,join(X0,one)),X2)))]]) ).
cnf(refute_0_2115,plain,
( join(X2,composition(join(X0,one),X2)) != composition(join(one,join(X0,one)),X2)
| join(X2,join(X2,composition(X0,X2))) = composition(join(one,join(X0,one)),X2) ),
inference(resolve,[$cnf( $equal(join(X2,join(X2,composition(X0,X2))),join(X2,composition(join(X0,one),X2))) )],[refute_0_2113,refute_0_2114]) ).
cnf(refute_0_2116,plain,
join(X2,join(X2,composition(X0,X2))) = composition(join(one,join(X0,one)),X2),
inference(resolve,[$cnf( $equal(join(X2,composition(join(X0,one),X2)),composition(join(one,join(X0,one)),X2)) )],[refute_0_2108,refute_0_2115]) ).
cnf(refute_0_2117,plain,
join(X_36,X_35) = join(X_35,X_36),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_36)),bind(X1,$fot(X_35))]]) ).
cnf(refute_0_2118,plain,
( join(X_36,X_35) != join(X_35,X_36)
| join(X_35,X_36) = join(X_36,X_35) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_36,X_35))),bind(Y,$fot(join(X_35,X_36)))]]) ).
cnf(refute_0_2119,plain,
join(X_35,X_36) = join(X_36,X_35),
inference(resolve,[$cnf( $equal(join(X_36,X_35),join(X_35,X_36)) )],[refute_0_2117,refute_0_2118]) ).
cnf(refute_0_2120,plain,
( join(X_34,join(X_35,X_36)) != join(join(X_34,X_35),X_36)
| join(X_35,X_36) != join(X_36,X_35)
| join(X_34,join(X_36,X_35)) = join(join(X_34,X_35),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(X_35,X_36)),join(join(X_34,X_35),X_36)) ),[0,1],$fot(join(X_36,X_35))]]) ).
cnf(refute_0_2121,plain,
( join(X_34,join(X_35,X_36)) != join(join(X_34,X_35),X_36)
| join(X_34,join(X_36,X_35)) = join(join(X_34,X_35),X_36) ),
inference(resolve,[$cnf( $equal(join(X_35,X_36),join(X_36,X_35)) )],[refute_0_2119,refute_0_2120]) ).
cnf(refute_0_2122,plain,
join(X_34,join(X_36,X_35)) = join(join(X_34,X_35),X_36),
inference(resolve,[$cnf( $equal(join(X_34,join(X_35,X_36)),join(join(X_34,X_35),X_36)) )],[refute_0_387,refute_0_2121]) ).
cnf(refute_0_2123,plain,
join(join(X_34,X_35),X_36) = join(X_34,join(X_35,X_36)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(X_34)),bind(X1,$fot(X_35)),bind(X2,$fot(X_36))]]) ).
cnf(refute_0_2124,plain,
( join(X_34,join(X_36,X_35)) != join(join(X_34,X_35),X_36)
| join(join(X_34,X_35),X_36) != join(X_34,join(X_35,X_36))
| join(X_34,join(X_36,X_35)) = join(X_34,join(X_35,X_36)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_34,join(X_36,X_35)),join(X_34,join(X_35,X_36))) ),[0],$fot(join(join(X_34,X_35),X_36))]]) ).
cnf(refute_0_2125,plain,
( join(X_34,join(X_36,X_35)) != join(join(X_34,X_35),X_36)
| join(X_34,join(X_36,X_35)) = join(X_34,join(X_35,X_36)) ),
inference(resolve,[$cnf( $equal(join(join(X_34,X_35),X_36),join(X_34,join(X_35,X_36))) )],[refute_0_2123,refute_0_2124]) ).
cnf(refute_0_2126,plain,
join(X_34,join(X_36,X_35)) = join(X_34,join(X_35,X_36)),
inference(resolve,[$cnf( $equal(join(X_34,join(X_36,X_35)),join(join(X_34,X_35),X_36)) )],[refute_0_2122,refute_0_2125]) ).
cnf(refute_0_2127,plain,
( join(X_34,join(X_36,X_35)) != join(X_34,join(X_35,X_36))
| join(X_34,join(X_35,X_36)) = join(X_34,join(X_36,X_35)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_34,join(X_36,X_35)))),bind(Y,$fot(join(X_34,join(X_35,X_36))))]]) ).
cnf(refute_0_2128,plain,
join(X_34,join(X_35,X_36)) = join(X_34,join(X_36,X_35)),
inference(resolve,[$cnf( $equal(join(X_34,join(X_36,X_35)),join(X_34,join(X_35,X_36))) )],[refute_0_2126,refute_0_2127]) ).
cnf(refute_0_2129,plain,
join(X2,join(composition(X0,X2),X2)) = join(X2,join(X2,composition(X0,X2))),
inference(subst,[],[refute_0_2128:[bind(X_34,$fot(X2)),bind(X_35,$fot(composition(X0,X2))),bind(X_36,$fot(X2))]]) ).
cnf(refute_0_2130,plain,
join(composition(X0,X2),join(X2,X2)) = join(X2,join(composition(X0,X2),X2)),
inference(subst,[],[refute_0_477:[bind(X_34,$fot(X2)),bind(X_35,$fot(composition(X0,X2))),bind(X_36,$fot(X2))]]) ).
cnf(refute_0_2131,plain,
( join(X2,join(composition(X0,X2),X2)) != join(X2,join(X2,composition(X0,X2)))
| join(composition(X0,X2),join(X2,X2)) != join(X2,join(composition(X0,X2),X2))
| join(composition(X0,X2),join(X2,X2)) = join(X2,join(X2,composition(X0,X2))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(X0,X2),join(X2,X2)))),bind(Y,$fot(join(X2,join(composition(X0,X2),X2)))),bind(Z,$fot(join(X2,join(X2,composition(X0,X2)))))]]) ).
cnf(refute_0_2132,plain,
( join(X2,join(composition(X0,X2),X2)) != join(X2,join(X2,composition(X0,X2)))
| join(composition(X0,X2),join(X2,X2)) = join(X2,join(X2,composition(X0,X2))) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),join(X2,X2)),join(X2,join(composition(X0,X2),X2))) )],[refute_0_2130,refute_0_2131]) ).
cnf(refute_0_2133,plain,
join(composition(X0,X2),join(X2,X2)) = join(X2,join(X2,composition(X0,X2))),
inference(resolve,[$cnf( $equal(join(X2,join(composition(X0,X2),X2)),join(X2,join(X2,composition(X0,X2)))) )],[refute_0_2129,refute_0_2132]) ).
cnf(refute_0_2134,plain,
( join(X2,join(X2,composition(X0,X2))) != composition(join(one,join(X0,one)),X2)
| join(composition(X0,X2),join(X2,X2)) != join(X2,join(X2,composition(X0,X2)))
| join(composition(X0,X2),join(X2,X2)) = composition(join(one,join(X0,one)),X2) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(X0,X2),join(X2,X2)))),bind(Y,$fot(join(X2,join(X2,composition(X0,X2))))),bind(Z,$fot(composition(join(one,join(X0,one)),X2)))]]) ).
cnf(refute_0_2135,plain,
( join(X2,join(X2,composition(X0,X2))) != composition(join(one,join(X0,one)),X2)
| join(composition(X0,X2),join(X2,X2)) = composition(join(one,join(X0,one)),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),join(X2,X2)),join(X2,join(X2,composition(X0,X2)))) )],[refute_0_2133,refute_0_2134]) ).
cnf(refute_0_2136,plain,
join(composition(X0,X2),join(X2,X2)) = composition(join(one,join(X0,one)),X2),
inference(resolve,[$cnf( $equal(join(X2,join(X2,composition(X0,X2))),composition(join(one,join(X0,one)),X2)) )],[refute_0_2116,refute_0_2135]) ).
cnf(refute_0_2137,plain,
( composition(join(X0,join(one,one)),X2) != join(composition(X0,X2),join(X2,X2))
| join(composition(X0,X2),join(X2,X2)) != composition(join(one,join(X0,one)),X2)
| composition(join(X0,join(one,one)),X2) = composition(join(one,join(X0,one)),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(one,one)),X2),composition(join(one,join(X0,one)),X2)) ),[0],$fot(join(composition(X0,X2),join(X2,X2)))]]) ).
cnf(refute_0_2138,plain,
( composition(join(X0,join(one,one)),X2) != join(composition(X0,X2),join(X2,X2))
| composition(join(X0,join(one,one)),X2) = composition(join(one,join(X0,one)),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),join(X2,X2)),composition(join(one,join(X0,one)),X2)) )],[refute_0_2136,refute_0_2137]) ).
cnf(refute_0_2139,plain,
composition(join(X0,join(one,one)),X2) = composition(join(one,join(X0,one)),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,join(one,one)),X2),join(composition(X0,X2),join(X2,X2))) )],[refute_0_2103,refute_0_2138]) ).
cnf(refute_0_2140,plain,
join(complement(X_65),composition(converse(join(one,one)),complement(composition(join(one,one),X_65)))) = complement(X_65),
inference(subst,[],[refute_0_91:[bind(X0,$fot(join(one,one))),bind(X1,$fot(X_65))]]) ).
cnf(refute_0_2141,plain,
composition(join(one,one),X_65) = join(X_65,X_65),
inference(subst,[],[refute_0_202:[bind(X_62,$fot(X_65))]]) ).
cnf(refute_0_2142,plain,
( composition(join(one,one),X_65) != join(X_65,X_65)
| join(complement(X_65),composition(converse(join(one,one)),complement(composition(join(one,one),X_65)))) != complement(X_65)
| join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))) = complement(X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),composition(converse(join(one,one)),complement(composition(join(one,one),X_65)))),complement(X_65)) ),[0,1,1,0],$fot(join(X_65,X_65))]]) ).
cnf(refute_0_2143,plain,
( join(complement(X_65),composition(converse(join(one,one)),complement(composition(join(one,one),X_65)))) != complement(X_65)
| join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))) = complement(X_65) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_65),join(X_65,X_65)) )],[refute_0_2141,refute_0_2142]) ).
cnf(refute_0_2144,plain,
join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))) = complement(X_65),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(converse(join(one,one)),complement(composition(join(one,one),X_65)))),complement(X_65)) )],[refute_0_2140,refute_0_2143]) ).
cnf(refute_0_2145,plain,
composition(converse(join(one,one)),complement(join(X_65,X_65))) = composition(converse(join(one,one)),complement(join(X_65,X_65))),
introduced(tautology,[refl,[$fot(composition(converse(join(one,one)),complement(join(X_65,X_65))))]]) ).
cnf(refute_0_2146,plain,
( composition(converse(join(one,one)),complement(join(X_65,X_65))) != composition(converse(join(one,one)),complement(join(X_65,X_65)))
| converse(join(one,one)) != join(one,one)
| composition(converse(join(one,one)),complement(join(X_65,X_65))) = composition(join(one,one),complement(join(X_65,X_65))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,one)),complement(join(X_65,X_65))),composition(converse(join(one,one)),complement(join(X_65,X_65)))) ),[1,0],$fot(join(one,one))]]) ).
cnf(refute_0_2147,plain,
( converse(join(one,one)) != join(one,one)
| composition(converse(join(one,one)),complement(join(X_65,X_65))) = composition(join(one,one),complement(join(X_65,X_65))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,one)),complement(join(X_65,X_65))),composition(converse(join(one,one)),complement(join(X_65,X_65)))) )],[refute_0_2145,refute_0_2146]) ).
cnf(refute_0_2148,plain,
composition(converse(join(one,one)),complement(join(X_65,X_65))) = composition(join(one,one),complement(join(X_65,X_65))),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_143,refute_0_2147]) ).
cnf(refute_0_2149,plain,
join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))) = join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))),
introduced(tautology,[refl,[$fot(join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))))]]) ).
cnf(refute_0_2150,plain,
( composition(converse(join(one,one)),complement(join(X_65,X_65))) != composition(join(one,one),complement(join(X_65,X_65)))
| join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))) != join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65))))
| join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))) = join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))),join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65))))) ),[1,1],$fot(composition(join(one,one),complement(join(X_65,X_65))))]]) ).
cnf(refute_0_2151,plain,
( composition(converse(join(one,one)),complement(join(X_65,X_65))) != composition(join(one,one),complement(join(X_65,X_65)))
| join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))) = join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))),join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65))))) )],[refute_0_2149,refute_0_2150]) ).
cnf(refute_0_2152,plain,
join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))) = join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))),
inference(resolve,[$cnf( $equal(composition(converse(join(one,one)),complement(join(X_65,X_65))),composition(join(one,one),complement(join(X_65,X_65)))) )],[refute_0_2148,refute_0_2151]) ).
cnf(refute_0_2153,plain,
( join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))) != complement(X_65)
| join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))) != join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65))))
| join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) = complement(X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))),complement(X_65)) ),[0],$fot(join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))))]]) ).
cnf(refute_0_2154,plain,
( join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))) != complement(X_65)
| join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) = complement(X_65) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))),join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65))))) )],[refute_0_2152,refute_0_2153]) ).
cnf(refute_0_2155,plain,
join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) = complement(X_65),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(converse(join(one,one)),complement(join(X_65,X_65)))),complement(X_65)) )],[refute_0_2144,refute_0_2154]) ).
cnf(refute_0_2156,plain,
composition(join(one,one),complement(join(X_65,X_65))) = complement(join(X_65,X_65)),
inference(subst,[],[refute_0_191:[bind(X_65,$fot(join(X_65,X_65)))]]) ).
cnf(refute_0_2157,plain,
join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) = join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))),
introduced(tautology,[refl,[$fot(join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))))]]) ).
cnf(refute_0_2158,plain,
( composition(join(one,one),complement(join(X_65,X_65))) != complement(join(X_65,X_65))
| join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) != join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65))))
| join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) = join(complement(X_65),complement(join(X_65,X_65))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))),join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65))))) ),[1,1],$fot(complement(join(X_65,X_65)))]]) ).
cnf(refute_0_2159,plain,
( composition(join(one,one),complement(join(X_65,X_65))) != complement(join(X_65,X_65))
| join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) = join(complement(X_65),complement(join(X_65,X_65))) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))),join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65))))) )],[refute_0_2157,refute_0_2158]) ).
cnf(refute_0_2160,plain,
join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) = join(complement(X_65),complement(join(X_65,X_65))),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(join(X_65,X_65))),complement(join(X_65,X_65))) )],[refute_0_2156,refute_0_2159]) ).
cnf(refute_0_2161,plain,
( join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) != complement(X_65)
| join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) != join(complement(X_65),complement(join(X_65,X_65)))
| join(complement(X_65),complement(join(X_65,X_65))) = complement(X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))),complement(X_65)) ),[0],$fot(join(complement(X_65),complement(join(X_65,X_65))))]]) ).
cnf(refute_0_2162,plain,
( join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))) != complement(X_65)
| join(complement(X_65),complement(join(X_65,X_65))) = complement(X_65) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))),join(complement(X_65),complement(join(X_65,X_65)))) )],[refute_0_2160,refute_0_2161]) ).
cnf(refute_0_2163,plain,
join(complement(X_65),complement(join(X_65,X_65))) = complement(X_65),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(join(one,one),complement(join(X_65,X_65)))),complement(X_65)) )],[refute_0_2155,refute_0_2162]) ).
cnf(refute_0_2164,plain,
join(complement(join(zero,complement(X1))),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) = complement(join(zero,complement(X1))),
inference(subst,[],[refute_0_2163:[bind(X_65,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_0_2165,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(complement(join(zero,complement(X1))),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) != complement(join(zero,complement(X1)))
| join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(zero,complement(X1))),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))),complement(join(zero,complement(X1)))) ),[0,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_2166,plain,
( join(complement(join(zero,complement(X1))),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) != complement(join(zero,complement(X1)))
| join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_727,refute_0_2165]) ).
cnf(refute_0_2167,plain,
join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(join(complement(join(zero,complement(X1))),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))),complement(join(zero,complement(X1)))) )],[refute_0_2164,refute_0_2166]) ).
cnf(refute_0_2168,plain,
join(join(X1,X2),join(X1,X2)) = join(join(join(X1,X2),X1),X2),
inference(subst,[],[refute_0_0:[bind(X0,$fot(join(X1,X2)))]]) ).
cnf(refute_0_2169,plain,
composition(join(one,one),join(X1,X2)) = join(join(X1,X2),join(X1,X2)),
inference(subst,[],[refute_0_202:[bind(X_62,$fot(join(X1,X2)))]]) ).
cnf(refute_0_2170,plain,
( composition(join(one,one),join(X1,X2)) != join(join(X1,X2),join(X1,X2))
| join(join(X1,X2),join(X1,X2)) = composition(join(one,one),join(X1,X2)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(one,one),join(X1,X2)))),bind(Y,$fot(join(join(X1,X2),join(X1,X2))))]]) ).
cnf(refute_0_2171,plain,
join(join(X1,X2),join(X1,X2)) = composition(join(one,one),join(X1,X2)),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X1,X2)),join(join(X1,X2),join(X1,X2))) )],[refute_0_2169,refute_0_2170]) ).
cnf(refute_0_2172,plain,
( join(join(X1,X2),join(X1,X2)) != composition(join(one,one),join(X1,X2))
| join(join(X1,X2),join(X1,X2)) != join(join(join(X1,X2),X1),X2)
| composition(join(one,one),join(X1,X2)) = join(join(join(X1,X2),X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X1,X2),join(X1,X2)),join(join(join(X1,X2),X1),X2)) ),[0],$fot(composition(join(one,one),join(X1,X2)))]]) ).
cnf(refute_0_2173,plain,
( join(join(X1,X2),join(X1,X2)) != join(join(join(X1,X2),X1),X2)
| composition(join(one,one),join(X1,X2)) = join(join(join(X1,X2),X1),X2) ),
inference(resolve,[$cnf( $equal(join(join(X1,X2),join(X1,X2)),composition(join(one,one),join(X1,X2))) )],[refute_0_2171,refute_0_2172]) ).
cnf(refute_0_2174,plain,
composition(join(one,one),join(X1,X2)) = join(join(join(X1,X2),X1),X2),
inference(resolve,[$cnf( $equal(join(join(X1,X2),join(X1,X2)),join(join(join(X1,X2),X1),X2)) )],[refute_0_2168,refute_0_2173]) ).
cnf(refute_0_2175,plain,
converse(composition(join(one,one),converse(X0))) = composition(X0,converse(join(one,one))),
inference(subst,[],[refute_0_1175:[bind(X_11,$fot(join(one,one)))]]) ).
cnf(refute_0_2176,plain,
composition(join(one,one),converse(X0)) = join(converse(X0),converse(X0)),
inference(subst,[],[refute_0_202:[bind(X_62,$fot(converse(X0)))]]) ).
cnf(refute_0_2177,plain,
( composition(join(one,one),converse(X0)) != join(converse(X0),converse(X0))
| converse(composition(join(one,one),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,one),converse(X0))),composition(X0,converse(join(one,one)))) ),[0,0],$fot(join(converse(X0),converse(X0)))]]) ).
cnf(refute_0_2178,plain,
( converse(composition(join(one,one),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),converse(X0)),join(converse(X0),converse(X0))) )],[refute_0_2176,refute_0_2177]) ).
cnf(refute_0_2179,plain,
converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,one),converse(X0))),composition(X0,converse(join(one,one)))) )],[refute_0_2175,refute_0_2178]) ).
cnf(refute_0_2180,plain,
join(X0,converse(converse(X0))) = join(X0,converse(converse(X0))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(X0))))]]) ).
cnf(refute_0_2181,plain,
( converse(converse(X0)) != X0
| join(X0,converse(converse(X0))) != join(X0,converse(converse(X0)))
| join(X0,converse(converse(X0))) = join(X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_2182,plain,
( converse(converse(X0)) != X0
| join(X0,converse(converse(X0))) = join(X0,X0) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,converse(converse(X0)))) )],[refute_0_2180,refute_0_2181]) ).
cnf(refute_0_2183,plain,
join(X0,converse(converse(X0))) = join(X0,X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_95,refute_0_2182]) ).
cnf(refute_0_2184,plain,
converse(join(converse(X0),converse(X0))) = join(X0,converse(converse(X0))),
inference(subst,[],[refute_0_812:[bind(X_26,$fot(converse(X0)))]]) ).
cnf(refute_0_2185,plain,
( converse(join(converse(X0),converse(X0))) != join(X0,converse(converse(X0)))
| join(X0,converse(converse(X0))) != join(X0,X0)
| converse(join(converse(X0),converse(X0))) = join(X0,X0) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(converse(X0),converse(X0))))),bind(Y,$fot(join(X0,converse(converse(X0))))),bind(Z,$fot(join(X0,X0)))]]) ).
cnf(refute_0_2186,plain,
( join(X0,converse(converse(X0))) != join(X0,X0)
| converse(join(converse(X0),converse(X0))) = join(X0,X0) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),join(X0,converse(converse(X0)))) )],[refute_0_2184,refute_0_2185]) ).
cnf(refute_0_2187,plain,
converse(join(converse(X0),converse(X0))) = join(X0,X0),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,X0)) )],[refute_0_2183,refute_0_2186]) ).
cnf(refute_0_2188,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) != join(X0,X0)
| join(X0,X0) = composition(X0,converse(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(X0))),composition(X0,converse(join(one,one)))) ),[0],$fot(join(X0,X0))]]) ).
cnf(refute_0_2189,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,converse(join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),join(X0,X0)) )],[refute_0_2187,refute_0_2188]) ).
cnf(refute_0_2190,plain,
composition(X0,converse(join(one,one))) = composition(X0,converse(join(one,one))),
introduced(tautology,[refl,[$fot(composition(X0,converse(join(one,one))))]]) ).
cnf(refute_0_2191,plain,
( composition(X0,converse(join(one,one))) != composition(X0,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| composition(X0,converse(join(one,one))) = composition(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_2192,plain,
( converse(join(one,one)) != join(one,one)
| composition(X0,converse(join(one,one))) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,converse(join(one,one)))) )],[refute_0_2190,refute_0_2191]) ).
cnf(refute_0_2193,plain,
composition(X0,converse(join(one,one))) = composition(X0,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_143,refute_0_2192]) ).
cnf(refute_0_2194,plain,
( composition(X0,converse(join(one,one))) != composition(X0,join(one,one))
| join(X0,X0) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,X0),composition(X0,converse(join(one,one)))) ),[1],$fot(composition(X0,join(one,one)))]]) ).
cnf(refute_0_2195,plain,
( join(X0,X0) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,join(one,one))) )],[refute_0_2193,refute_0_2194]) ).
cnf(refute_0_2196,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(X0,X0),composition(X0,converse(join(one,one)))) )],[refute_0_2189,refute_0_2195]) ).
cnf(refute_0_2197,plain,
join(X0,X0) = composition(X0,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),composition(X0,converse(join(one,one)))) )],[refute_0_2179,refute_0_2196]) ).
cnf(refute_0_2198,plain,
join(join(X1,X2),join(X1,X2)) = composition(join(X1,X2),join(one,one)),
inference(subst,[],[refute_0_2197:[bind(X0,$fot(join(X1,X2)))]]) ).
cnf(refute_0_2199,plain,
join(join(join(X1,X2),X1),X2) = join(join(X1,X2),join(X1,X2)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(join(X1,X2)))]]) ).
cnf(refute_0_2200,plain,
( join(join(X1,X2),join(X1,X2)) != composition(join(X1,X2),join(one,one))
| join(join(join(X1,X2),X1),X2) != join(join(X1,X2),join(X1,X2))
| join(join(join(X1,X2),X1),X2) = composition(join(X1,X2),join(one,one)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(join(join(X1,X2),X1),X2))),bind(Y,$fot(join(join(X1,X2),join(X1,X2)))),bind(Z,$fot(composition(join(X1,X2),join(one,one))))]]) ).
cnf(refute_0_2201,plain,
( join(join(X1,X2),join(X1,X2)) != composition(join(X1,X2),join(one,one))
| join(join(join(X1,X2),X1),X2) = composition(join(X1,X2),join(one,one)) ),
inference(resolve,[$cnf( $equal(join(join(join(X1,X2),X1),X2),join(join(X1,X2),join(X1,X2))) )],[refute_0_2199,refute_0_2200]) ).
cnf(refute_0_2202,plain,
join(join(join(X1,X2),X1),X2) = composition(join(X1,X2),join(one,one)),
inference(resolve,[$cnf( $equal(join(join(X1,X2),join(X1,X2)),composition(join(X1,X2),join(one,one))) )],[refute_0_2198,refute_0_2201]) ).
cnf(refute_0_2203,plain,
( composition(join(one,one),join(X1,X2)) != join(join(join(X1,X2),X1),X2)
| join(join(join(X1,X2),X1),X2) != composition(join(X1,X2),join(one,one))
| composition(join(one,one),join(X1,X2)) = composition(join(X1,X2),join(one,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,one),join(X1,X2)),composition(join(X1,X2),join(one,one))) ),[0],$fot(join(join(join(X1,X2),X1),X2))]]) ).
cnf(refute_0_2204,plain,
( composition(join(one,one),join(X1,X2)) != join(join(join(X1,X2),X1),X2)
| composition(join(one,one),join(X1,X2)) = composition(join(X1,X2),join(one,one)) ),
inference(resolve,[$cnf( $equal(join(join(join(X1,X2),X1),X2),composition(join(X1,X2),join(one,one))) )],[refute_0_2202,refute_0_2203]) ).
cnf(refute_0_2205,plain,
composition(join(one,one),join(X1,X2)) = composition(join(X1,X2),join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X1,X2)),join(join(join(X1,X2),X1),X2)) )],[refute_0_2174,refute_0_2204]) ).
cnf(refute_0_2206,plain,
( composition(join(one,one),join(X1,X2)) != composition(join(X1,X2),join(one,one))
| composition(join(X1,X2),join(one,one)) = composition(join(one,one),join(X1,X2)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(one,one),join(X1,X2)))),bind(Y,$fot(composition(join(X1,X2),join(one,one))))]]) ).
cnf(refute_0_2207,plain,
composition(join(X1,X2),join(one,one)) = composition(join(one,one),join(X1,X2)),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X1,X2)),composition(join(X1,X2),join(one,one))) )],[refute_0_2205,refute_0_2206]) ).
cnf(refute_0_2208,plain,
composition(join(zero,complement(X1)),join(one,one)) = composition(join(one,one),join(zero,complement(X1))),
inference(subst,[],[refute_0_2207:[bind(X1,$fot(zero)),bind(X2,$fot(complement(X1)))]]) ).
cnf(refute_0_2209,plain,
join(join(zero,complement(X1)),join(zero,complement(X1))) = composition(join(zero,complement(X1)),join(one,one)),
inference(subst,[],[refute_0_2197:[bind(X0,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_0_2210,plain,
( composition(join(zero,complement(X1)),join(one,one)) != composition(join(one,one),join(zero,complement(X1)))
| join(join(zero,complement(X1)),join(zero,complement(X1))) != composition(join(zero,complement(X1)),join(one,one))
| join(join(zero,complement(X1)),join(zero,complement(X1))) = composition(join(one,one),join(zero,complement(X1))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(join(zero,complement(X1)),join(zero,complement(X1))))),bind(Y,$fot(composition(join(zero,complement(X1)),join(one,one)))),bind(Z,$fot(composition(join(one,one),join(zero,complement(X1)))))]]) ).
cnf(refute_0_2211,plain,
( composition(join(zero,complement(X1)),join(one,one)) != composition(join(one,one),join(zero,complement(X1)))
| join(join(zero,complement(X1)),join(zero,complement(X1))) = composition(join(one,one),join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(join(zero,complement(X1)),join(zero,complement(X1))),composition(join(zero,complement(X1)),join(one,one))) )],[refute_0_2209,refute_0_2210]) ).
cnf(refute_0_2212,plain,
join(join(zero,complement(X1)),join(zero,complement(X1))) = composition(join(one,one),join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(composition(join(zero,complement(X1)),join(one,one)),composition(join(one,one),join(zero,complement(X1)))) )],[refute_0_2208,refute_0_2211]) ).
cnf(refute_0_2213,plain,
complement(join(join(zero,complement(X1)),join(zero,complement(X1)))) = complement(join(join(zero,complement(X1)),join(zero,complement(X1)))),
introduced(tautology,[refl,[$fot(complement(join(join(zero,complement(X1)),join(zero,complement(X1)))))]]) ).
cnf(refute_0_2214,plain,
( complement(join(join(zero,complement(X1)),join(zero,complement(X1)))) != complement(join(join(zero,complement(X1)),join(zero,complement(X1))))
| join(join(zero,complement(X1)),join(zero,complement(X1))) != composition(join(one,one),join(zero,complement(X1)))
| complement(join(join(zero,complement(X1)),join(zero,complement(X1)))) = complement(composition(join(one,one),join(zero,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(zero,complement(X1)),join(zero,complement(X1)))),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) ),[1,0],$fot(composition(join(one,one),join(zero,complement(X1))))]]) ).
cnf(refute_0_2215,plain,
( join(join(zero,complement(X1)),join(zero,complement(X1))) != composition(join(one,one),join(zero,complement(X1)))
| complement(join(join(zero,complement(X1)),join(zero,complement(X1)))) = complement(composition(join(one,one),join(zero,complement(X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(join(zero,complement(X1)),join(zero,complement(X1)))),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) )],[refute_0_2213,refute_0_2214]) ).
cnf(refute_0_2216,plain,
complement(join(join(zero,complement(X1)),join(zero,complement(X1)))) = complement(composition(join(one,one),join(zero,complement(X1)))),
inference(resolve,[$cnf( $equal(join(join(zero,complement(X1)),join(zero,complement(X1))),composition(join(one,one),join(zero,complement(X1)))) )],[refute_0_2212,refute_0_2215]) ).
cnf(refute_0_2217,plain,
join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) = join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))),
introduced(tautology,[refl,[$fot(join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))))]]) ).
cnf(refute_0_2218,plain,
( complement(join(join(zero,complement(X1)),join(zero,complement(X1)))) != complement(composition(join(one,one),join(zero,complement(X1))))
| join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) != join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1)))))
| join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) = join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))),join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1)))))) ),[1,1],$fot(complement(composition(join(one,one),join(zero,complement(X1)))))]]) ).
cnf(refute_0_2219,plain,
( complement(join(join(zero,complement(X1)),join(zero,complement(X1)))) != complement(composition(join(one,one),join(zero,complement(X1))))
| join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) = join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))),join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1)))))) )],[refute_0_2217,refute_0_2218]) ).
cnf(refute_0_2220,plain,
join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) = join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))),
inference(resolve,[$cnf( $equal(complement(join(join(zero,complement(X1)),join(zero,complement(X1)))),complement(composition(join(one,one),join(zero,complement(X1))))) )],[refute_0_2216,refute_0_2219]) ).
cnf(refute_0_2221,plain,
( join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) != complement(join(zero,complement(X1)))
| join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) != join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1)))))
| join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))),complement(join(zero,complement(X1)))) ),[0],$fot(join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))))]]) ).
cnf(refute_0_2222,plain,
( join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) != complement(join(zero,complement(X1)))
| join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))),join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1)))))) )],[refute_0_2220,refute_0_2221]) ).
cnf(refute_0_2223,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) != complement(join(zero,complement(X1)))
| join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = meet(top,X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))),complement(join(zero,complement(X1)))) ),[1],$fot(meet(top,X1))]]) ).
cnf(refute_0_2224,plain,
( join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) != complement(join(zero,complement(X1)))
| join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = meet(top,X1) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_727,refute_0_2223]) ).
cnf(refute_0_2225,plain,
( join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))) != complement(join(zero,complement(X1)))
| join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = meet(top,X1) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))),complement(join(zero,complement(X1)))) )],[refute_0_2222,refute_0_2224]) ).
cnf(refute_0_2226,plain,
join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = meet(top,X1),
inference(resolve,[$cnf( $equal(join(meet(top,X1),complement(join(join(zero,complement(X1)),join(zero,complement(X1))))),complement(join(zero,complement(X1)))) )],[refute_0_2167,refute_0_2225]) ).
cnf(refute_0_2227,plain,
composition(join(one,one),join(zero,complement(X1))) = composition(join(one,one),join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(composition(join(one,one),join(zero,complement(X1))))]]) ).
cnf(refute_0_2228,plain,
( composition(join(one,one),join(zero,complement(X1))) != composition(join(one,one),join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| composition(join(one,one),join(zero,complement(X1))) = composition(join(one,one),complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),join(zero,complement(X1))),composition(join(one,one),join(zero,complement(X1)))) ),[1,1],$fot(complement(X1))]]) ).
cnf(refute_0_2229,plain,
( join(zero,complement(X1)) != complement(X1)
| composition(join(one,one),join(zero,complement(X1))) = composition(join(one,one),complement(X1)) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(zero,complement(X1))),composition(join(one,one),join(zero,complement(X1)))) )],[refute_0_2227,refute_0_2228]) ).
cnf(refute_0_2230,plain,
composition(join(one,one),join(zero,complement(X1))) = composition(join(one,one),complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_618,refute_0_2229]) ).
cnf(refute_0_2231,plain,
( composition(join(one,one),complement(X1)) != complement(X1)
| composition(join(one,one),join(zero,complement(X1))) != composition(join(one,one),complement(X1))
| composition(join(one,one),join(zero,complement(X1))) = complement(X1) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(join(one,one),join(zero,complement(X1))))),bind(Y,$fot(composition(join(one,one),complement(X1)))),bind(Z,$fot(complement(X1)))]]) ).
cnf(refute_0_2232,plain,
( composition(join(one,one),complement(X1)) != complement(X1)
| composition(join(one,one),join(zero,complement(X1))) = complement(X1) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(zero,complement(X1))),composition(join(one,one),complement(X1))) )],[refute_0_2230,refute_0_2231]) ).
cnf(refute_0_2233,plain,
composition(join(one,one),join(zero,complement(X1))) = complement(X1),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X1)),complement(X1)) )],[refute_0_490,refute_0_2232]) ).
cnf(refute_0_2234,plain,
complement(composition(join(one,one),join(zero,complement(X1)))) = complement(composition(join(one,one),join(zero,complement(X1)))),
introduced(tautology,[refl,[$fot(complement(composition(join(one,one),join(zero,complement(X1)))))]]) ).
cnf(refute_0_2235,plain,
( complement(composition(join(one,one),join(zero,complement(X1)))) != complement(composition(join(one,one),join(zero,complement(X1))))
| composition(join(one,one),join(zero,complement(X1))) != complement(X1)
| complement(composition(join(one,one),join(zero,complement(X1)))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(join(one,one),join(zero,complement(X1)))),complement(composition(join(one,one),join(zero,complement(X1))))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_2236,plain,
( composition(join(one,one),join(zero,complement(X1))) != complement(X1)
| complement(composition(join(one,one),join(zero,complement(X1)))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),join(zero,complement(X1)))),complement(composition(join(one,one),join(zero,complement(X1))))) )],[refute_0_2234,refute_0_2235]) ).
cnf(refute_0_2237,plain,
complement(composition(join(one,one),join(zero,complement(X1)))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(zero,complement(X1))),complement(X1)) )],[refute_0_2233,refute_0_2236]) ).
cnf(refute_0_2238,plain,
( complement(complement(X1)) != X1
| complement(composition(join(one,one),join(zero,complement(X1)))) != complement(complement(X1))
| complement(composition(join(one,one),join(zero,complement(X1)))) = X1 ),
inference(subst,[],[refute_0_22:[bind(X,$fot(complement(composition(join(one,one),join(zero,complement(X1)))))),bind(Y,$fot(complement(complement(X1)))),bind(Z,$fot(X1))]]) ).
cnf(refute_0_2239,plain,
( complement(complement(X1)) != X1
| complement(composition(join(one,one),join(zero,complement(X1)))) = X1 ),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),join(zero,complement(X1)))),complement(complement(X1))) )],[refute_0_2237,refute_0_2238]) ).
cnf(refute_0_2240,plain,
complement(composition(join(one,one),join(zero,complement(X1)))) = X1,
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_2239]) ).
cnf(refute_0_2241,plain,
join(X1,complement(composition(join(one,one),join(zero,complement(X1))))) = join(X1,complement(composition(join(one,one),join(zero,complement(X1))))),
introduced(tautology,[refl,[$fot(join(X1,complement(composition(join(one,one),join(zero,complement(X1))))))]]) ).
cnf(refute_0_2242,plain,
( complement(composition(join(one,one),join(zero,complement(X1)))) != X1
| join(X1,complement(composition(join(one,one),join(zero,complement(X1))))) != join(X1,complement(composition(join(one,one),join(zero,complement(X1)))))
| join(X1,complement(composition(join(one,one),join(zero,complement(X1))))) = join(X1,X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,complement(composition(join(one,one),join(zero,complement(X1))))),join(X1,complement(composition(join(one,one),join(zero,complement(X1)))))) ),[1,1],$fot(X1)]]) ).
cnf(refute_0_2243,plain,
( complement(composition(join(one,one),join(zero,complement(X1)))) != X1
| join(X1,complement(composition(join(one,one),join(zero,complement(X1))))) = join(X1,X1) ),
inference(resolve,[$cnf( $equal(join(X1,complement(composition(join(one,one),join(zero,complement(X1))))),join(X1,complement(composition(join(one,one),join(zero,complement(X1)))))) )],[refute_0_2241,refute_0_2242]) ).
cnf(refute_0_2244,plain,
join(X1,complement(composition(join(one,one),join(zero,complement(X1))))) = join(X1,X1),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),join(zero,complement(X1)))),X1) )],[refute_0_2240,refute_0_2243]) ).
cnf(refute_0_2245,plain,
join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))),
introduced(tautology,[refl,[$fot(join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))))]]) ).
cnf(refute_0_2246,plain,
( join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) != join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1)))))
| meet(top,X1) != X1
| join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = join(X1,complement(composition(join(one,one),join(zero,complement(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))),join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1)))))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_2247,plain,
( meet(top,X1) != X1
| join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = join(X1,complement(composition(join(one,one),join(zero,complement(X1))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))),join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1)))))) )],[refute_0_2245,refute_0_2246]) ).
cnf(refute_0_2248,plain,
join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = join(X1,complement(composition(join(one,one),join(zero,complement(X1))))),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_615,refute_0_2247]) ).
cnf(refute_0_2249,plain,
( join(X1,complement(composition(join(one,one),join(zero,complement(X1))))) != join(X1,X1)
| join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) != join(X1,complement(composition(join(one,one),join(zero,complement(X1)))))
| join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = join(X1,X1) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))))),bind(Y,$fot(join(X1,complement(composition(join(one,one),join(zero,complement(X1))))))),bind(Z,$fot(join(X1,X1)))]]) ).
cnf(refute_0_2250,plain,
( join(X1,complement(composition(join(one,one),join(zero,complement(X1))))) != join(X1,X1)
| join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = join(X1,X1) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))),join(X1,complement(composition(join(one,one),join(zero,complement(X1)))))) )],[refute_0_2248,refute_0_2249]) ).
cnf(refute_0_2251,plain,
join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) = join(X1,X1),
inference(resolve,[$cnf( $equal(join(X1,complement(composition(join(one,one),join(zero,complement(X1))))),join(X1,X1)) )],[refute_0_2244,refute_0_2250]) ).
cnf(refute_0_2252,plain,
( join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) != join(X1,X1)
| join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) != meet(top,X1)
| join(X1,X1) = meet(top,X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))),meet(top,X1)) ),[0],$fot(join(X1,X1))]]) ).
cnf(refute_0_2253,plain,
( join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) != meet(top,X1)
| join(X1,X1) = meet(top,X1) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))),join(X1,X1)) )],[refute_0_2251,refute_0_2252]) ).
cnf(refute_0_2254,plain,
( join(X1,X1) != meet(top,X1)
| meet(top,X1) != X1
| join(X1,X1) = X1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X1,X1),X1) ),[0],$fot(meet(top,X1))]]) ).
cnf(refute_0_2255,plain,
( join(X1,X1) != meet(top,X1)
| join(X1,X1) = X1 ),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_615,refute_0_2254]) ).
cnf(refute_0_2256,plain,
( join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))) != meet(top,X1)
| join(X1,X1) = X1 ),
inference(resolve,[$cnf( $equal(join(X1,X1),meet(top,X1)) )],[refute_0_2253,refute_0_2255]) ).
cnf(refute_0_2257,plain,
join(X1,X1) = X1,
inference(resolve,[$cnf( $equal(join(meet(top,X1),complement(composition(join(one,one),join(zero,complement(X1))))),meet(top,X1)) )],[refute_0_2226,refute_0_2256]) ).
cnf(refute_0_2258,plain,
join(one,one) = one,
inference(subst,[],[refute_0_2257:[bind(X1,$fot(one))]]) ).
cnf(refute_0_2259,plain,
join(X0,join(one,one)) = join(X0,join(one,one)),
introduced(tautology,[refl,[$fot(join(X0,join(one,one)))]]) ).
cnf(refute_0_2260,plain,
( join(X0,join(one,one)) != join(X0,join(one,one))
| join(one,one) != one
| join(X0,join(one,one)) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,one)),join(X0,join(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_2261,plain,
( join(one,one) != one
| join(X0,join(one,one)) = join(X0,one) ),
inference(resolve,[$cnf( $equal(join(X0,join(one,one)),join(X0,join(one,one))) )],[refute_0_2259,refute_0_2260]) ).
cnf(refute_0_2262,plain,
join(X0,join(one,one)) = join(X0,one),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_2258,refute_0_2261]) ).
cnf(refute_0_2263,plain,
composition(join(X0,join(one,one)),X2) = composition(join(X0,join(one,one)),X2),
introduced(tautology,[refl,[$fot(composition(join(X0,join(one,one)),X2))]]) ).
cnf(refute_0_2264,plain,
( composition(join(X0,join(one,one)),X2) != composition(join(X0,join(one,one)),X2)
| join(X0,join(one,one)) != join(X0,one)
| composition(join(X0,join(one,one)),X2) = composition(join(X0,one),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(one,one)),X2),composition(join(X0,join(one,one)),X2)) ),[1,0],$fot(join(X0,one))]]) ).
cnf(refute_0_2265,plain,
( join(X0,join(one,one)) != join(X0,one)
| composition(join(X0,join(one,one)),X2) = composition(join(X0,one),X2) ),
inference(resolve,[$cnf( $equal(composition(join(X0,join(one,one)),X2),composition(join(X0,join(one,one)),X2)) )],[refute_0_2263,refute_0_2264]) ).
cnf(refute_0_2266,plain,
composition(join(X0,join(one,one)),X2) = composition(join(X0,one),X2),
inference(resolve,[$cnf( $equal(join(X0,join(one,one)),join(X0,one)) )],[refute_0_2262,refute_0_2265]) ).
cnf(refute_0_2267,plain,
( composition(join(X0,join(one,one)),X2) != composition(join(X0,one),X2)
| composition(join(X0,join(one,one)),X2) != composition(join(one,join(X0,one)),X2)
| composition(join(X0,one),X2) = composition(join(one,join(X0,one)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(one,one)),X2),composition(join(one,join(X0,one)),X2)) ),[0],$fot(composition(join(X0,one),X2))]]) ).
cnf(refute_0_2268,plain,
( composition(join(X0,join(one,one)),X2) != composition(join(one,join(X0,one)),X2)
| composition(join(X0,one),X2) = composition(join(one,join(X0,one)),X2) ),
inference(resolve,[$cnf( $equal(composition(join(X0,join(one,one)),X2),composition(join(X0,one),X2)) )],[refute_0_2266,refute_0_2267]) ).
cnf(refute_0_2269,plain,
composition(join(X0,one),X2) = composition(join(one,join(X0,one)),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,join(one,one)),X2),composition(join(one,join(X0,one)),X2)) )],[refute_0_2139,refute_0_2268]) ).
cnf(refute_0_2270,plain,
( composition(join(X0,one),X2) != composition(join(one,join(X0,one)),X2)
| composition(join(one,join(X0,one)),X2) = composition(join(X0,one),X2) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(X0,one),X2))),bind(Y,$fot(composition(join(one,join(X0,one)),X2)))]]) ).
cnf(refute_0_2271,plain,
composition(join(one,join(X0,one)),X2) = composition(join(X0,one),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,one),X2),composition(join(one,join(X0,one)),X2)) )],[refute_0_2269,refute_0_2270]) ).
cnf(refute_0_2272,plain,
composition(join(one,join(X1,one)),X2) = composition(join(X1,one),X2),
inference(subst,[],[refute_0_2271:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_2273,plain,
( composition(join(one,join(X1,one)),X2) != composition(join(X1,one),X2)
| composition(join(one,join(one,X1)),X2) != composition(join(one,join(X1,one)),X2)
| composition(join(one,join(one,X1)),X2) = composition(join(X1,one),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,X1)),X2),composition(join(one,join(X1,one)),X2)) ),[1],$fot(composition(join(X1,one),X2))]]) ).
cnf(refute_0_2274,plain,
( composition(join(one,join(one,X1)),X2) != composition(join(one,join(X1,one)),X2)
| composition(join(one,join(one,X1)),X2) = composition(join(X1,one),X2) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X1,one)),X2),composition(join(X1,one),X2)) )],[refute_0_2272,refute_0_2273]) ).
cnf(refute_0_2275,plain,
composition(join(one,join(one,X1)),X2) = composition(join(X1,one),X2),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),X2),composition(join(one,join(X1,one)),X2)) )],[refute_0_2099,refute_0_2274]) ).
cnf(refute_0_2276,plain,
join(X1,join(X1,X2)) = join(join(X1,X1),X2),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_2277,plain,
composition(join(one,one),X1) = join(X1,X1),
inference(subst,[],[refute_0_202:[bind(X_62,$fot(X1))]]) ).
cnf(refute_0_2278,plain,
( composition(join(one,one),X1) != join(X1,X1)
| join(X1,X1) = composition(join(one,one),X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(one,one),X1))),bind(Y,$fot(join(X1,X1)))]]) ).
cnf(refute_0_2279,plain,
join(X1,X1) = composition(join(one,one),X1),
inference(resolve,[$cnf( $equal(composition(join(one,one),X1),join(X1,X1)) )],[refute_0_2277,refute_0_2278]) ).
cnf(refute_0_2280,plain,
( join(X1,X1) != composition(join(one,one),X1)
| join(X1,join(X1,X2)) != join(join(X1,X1),X2)
| join(X1,join(X1,X2)) = join(composition(join(one,one),X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(X1,X2)),join(join(X1,X1),X2)) ),[1,0],$fot(composition(join(one,one),X1))]]) ).
cnf(refute_0_2281,plain,
( join(X1,join(X1,X2)) != join(join(X1,X1),X2)
| join(X1,join(X1,X2)) = join(composition(join(one,one),X1),X2) ),
inference(resolve,[$cnf( $equal(join(X1,X1),composition(join(one,one),X1)) )],[refute_0_2279,refute_0_2280]) ).
cnf(refute_0_2282,plain,
join(X1,join(X1,X2)) = join(composition(join(one,one),X1),X2),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X2)),join(join(X1,X1),X2)) )],[refute_0_2276,refute_0_2281]) ).
cnf(refute_0_2283,plain,
composition(one,X1) = X1,
inference(subst,[],[refute_0_238:[bind(X_13,$fot(X1))]]) ).
cnf(refute_0_2284,plain,
composition(join(one,one),X1) = composition(join(one,one),X1),
introduced(tautology,[refl,[$fot(composition(join(one,one),X1))]]) ).
cnf(refute_0_2285,plain,
( composition(join(one,one),X1) != composition(join(one,one),X1)
| join(one,one) != one
| composition(join(one,one),X1) = composition(one,X1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X1),composition(join(one,one),X1)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2286,plain,
( join(one,one) != one
| composition(join(one,one),X1) = composition(one,X1) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X1),composition(join(one,one),X1)) )],[refute_0_2284,refute_0_2285]) ).
cnf(refute_0_2287,plain,
composition(join(one,one),X1) = composition(one,X1),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_2258,refute_0_2286]) ).
cnf(refute_0_2288,plain,
( composition(join(one,one),X1) != composition(one,X1)
| composition(one,X1) != X1
| composition(join(one,one),X1) = X1 ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(join(one,one),X1))),bind(Y,$fot(composition(one,X1))),bind(Z,$fot(X1))]]) ).
cnf(refute_0_2289,plain,
( composition(one,X1) != X1
| composition(join(one,one),X1) = X1 ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X1),composition(one,X1)) )],[refute_0_2287,refute_0_2288]) ).
cnf(refute_0_2290,plain,
composition(join(one,one),X1) = X1,
inference(resolve,[$cnf( $equal(composition(one,X1),X1) )],[refute_0_2283,refute_0_2289]) ).
cnf(refute_0_2291,plain,
join(composition(join(one,one),X1),X2) = join(composition(join(one,one),X1),X2),
introduced(tautology,[refl,[$fot(join(composition(join(one,one),X1),X2))]]) ).
cnf(refute_0_2292,plain,
( composition(join(one,one),X1) != X1
| join(composition(join(one,one),X1),X2) != join(composition(join(one,one),X1),X2)
| join(composition(join(one,one),X1),X2) = join(X1,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(join(one,one),X1),X2),join(composition(join(one,one),X1),X2)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_2293,plain,
( composition(join(one,one),X1) != X1
| join(composition(join(one,one),X1),X2) = join(X1,X2) ),
inference(resolve,[$cnf( $equal(join(composition(join(one,one),X1),X2),join(composition(join(one,one),X1),X2)) )],[refute_0_2291,refute_0_2292]) ).
cnf(refute_0_2294,plain,
join(composition(join(one,one),X1),X2) = join(X1,X2),
inference(resolve,[$cnf( $equal(composition(join(one,one),X1),X1) )],[refute_0_2290,refute_0_2293]) ).
cnf(refute_0_2295,plain,
( join(X1,join(X1,X2)) != join(composition(join(one,one),X1),X2)
| join(composition(join(one,one),X1),X2) != join(X1,X2)
| join(X1,join(X1,X2)) = join(X1,X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X1,join(X1,X2)),join(X1,X2)) ),[0],$fot(join(composition(join(one,one),X1),X2))]]) ).
cnf(refute_0_2296,plain,
( join(X1,join(X1,X2)) != join(composition(join(one,one),X1),X2)
| join(X1,join(X1,X2)) = join(X1,X2) ),
inference(resolve,[$cnf( $equal(join(composition(join(one,one),X1),X2),join(X1,X2)) )],[refute_0_2294,refute_0_2295]) ).
cnf(refute_0_2297,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X2)),join(composition(join(one,one),X1),X2)) )],[refute_0_2282,refute_0_2296]) ).
cnf(refute_0_2298,plain,
join(one,join(one,X1)) = join(one,X1),
inference(subst,[],[refute_0_2297:[bind(X1,$fot(one)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_2299,plain,
composition(join(one,join(one,X1)),X2) = composition(join(one,join(one,X1)),X2),
introduced(tautology,[refl,[$fot(composition(join(one,join(one,X1)),X2))]]) ).
cnf(refute_0_2300,plain,
( composition(join(one,join(one,X1)),X2) != composition(join(one,join(one,X1)),X2)
| join(one,join(one,X1)) != join(one,X1)
| composition(join(one,join(one,X1)),X2) = composition(join(one,X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,X1)),X2),composition(join(one,join(one,X1)),X2)) ),[1,0],$fot(join(one,X1))]]) ).
cnf(refute_0_2301,plain,
( join(one,join(one,X1)) != join(one,X1)
| composition(join(one,join(one,X1)),X2) = composition(join(one,X1),X2) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),X2),composition(join(one,join(one,X1)),X2)) )],[refute_0_2299,refute_0_2300]) ).
cnf(refute_0_2302,plain,
composition(join(one,join(one,X1)),X2) = composition(join(one,X1),X2),
inference(resolve,[$cnf( $equal(join(one,join(one,X1)),join(one,X1)) )],[refute_0_2298,refute_0_2301]) ).
cnf(refute_0_2303,plain,
( composition(join(one,join(one,X1)),X2) != composition(join(X1,one),X2)
| composition(join(one,join(one,X1)),X2) != composition(join(one,X1),X2)
| composition(join(one,X1),X2) = composition(join(X1,one),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,X1)),X2),composition(join(X1,one),X2)) ),[0],$fot(composition(join(one,X1),X2))]]) ).
cnf(refute_0_2304,plain,
( composition(join(one,join(one,X1)),X2) != composition(join(X1,one),X2)
| composition(join(one,X1),X2) = composition(join(X1,one),X2) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),X2),composition(join(one,X1),X2)) )],[refute_0_2302,refute_0_2303]) ).
cnf(refute_0_2305,plain,
composition(join(one,X1),X2) = composition(join(X1,one),X2),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),X2),composition(join(X1,one),X2)) )],[refute_0_2275,refute_0_2304]) ).
cnf(refute_0_2306,plain,
( composition(join(one,X1),X2) != composition(join(X1,one),X2)
| composition(join(X1,one),X2) = composition(join(one,X1),X2) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(one,X1),X2))),bind(Y,$fot(composition(join(X1,one),X2)))]]) ).
cnf(refute_0_2307,plain,
composition(join(X1,one),X2) = composition(join(one,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(one,X1),X2),composition(join(X1,one),X2)) )],[refute_0_2305,refute_0_2306]) ).
cnf(refute_0_2308,plain,
composition(join(top,one),complement(composition(top,top))) = composition(join(one,top),complement(composition(top,top))),
inference(subst,[],[refute_0_2307:[bind(X1,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2309,plain,
( composition(join(one,top),complement(composition(top,top))) != zero
| composition(join(top,one),complement(composition(top,top))) != composition(join(one,top),complement(composition(top,top)))
| composition(join(top,one),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(join(top,one),complement(composition(top,top))))),bind(Y,$fot(composition(join(one,top),complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2310,plain,
( composition(join(one,top),complement(composition(top,top))) != zero
| composition(join(top,one),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(top,one),complement(composition(top,top))),composition(join(one,top),complement(composition(top,top)))) )],[refute_0_2308,refute_0_2309]) ).
cnf(refute_0_2311,plain,
composition(join(top,one),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(join(one,top),complement(composition(top,top))),zero) )],[refute_0_2066,refute_0_2310]) ).
cnf(refute_0_2312,plain,
( composition(join(top,one),complement(composition(top,top))) != join(complement(composition(top,top)),zero)
| composition(join(top,one),complement(composition(top,top))) != zero
| zero = join(complement(composition(top,top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,one),complement(composition(top,top))),join(complement(composition(top,top)),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_2313,plain,
( composition(join(top,one),complement(composition(top,top))) != join(complement(composition(top,top)),zero)
| zero = join(complement(composition(top,top)),zero) ),
inference(resolve,[$cnf( $equal(composition(join(top,one),complement(composition(top,top))),zero) )],[refute_0_2311,refute_0_2312]) ).
cnf(refute_0_2314,plain,
join(complement(composition(top,top)),zero) = complement(composition(top,top)),
inference(subst,[],[refute_0_677:[bind(X_98,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2315,plain,
( join(complement(composition(top,top)),zero) != complement(composition(top,top))
| zero != join(complement(composition(top,top)),zero)
| zero = complement(composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(composition(top,top)),zero)) ),[1],$fot(complement(composition(top,top)))]]) ).
cnf(refute_0_2316,plain,
( zero != join(complement(composition(top,top)),zero)
| zero = complement(composition(top,top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,top)),zero),complement(composition(top,top))) )],[refute_0_2314,refute_0_2315]) ).
cnf(refute_0_2317,plain,
( composition(join(top,one),complement(composition(top,top))) != join(complement(composition(top,top)),zero)
| zero = complement(composition(top,top)) ),
inference(resolve,[$cnf( $equal(zero,join(complement(composition(top,top)),zero)) )],[refute_0_2313,refute_0_2316]) ).
cnf(refute_0_2318,plain,
zero = complement(composition(top,top)),
inference(resolve,[$cnf( $equal(composition(join(top,one),complement(composition(top,top))),join(complement(composition(top,top)),zero)) )],[refute_0_2058,refute_0_2317]) ).
cnf(refute_0_2319,plain,
( zero != complement(composition(top,top))
| complement(composition(top,top)) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2320,plain,
complement(composition(top,top)) = zero,
inference(resolve,[$cnf( $equal(zero,complement(composition(top,top))) )],[refute_0_2318,refute_0_2319]) ).
cnf(refute_0_2321,plain,
composition(top,complement(composition(top,top))) = composition(top,complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(top,complement(composition(top,top))))]]) ).
cnf(refute_0_2322,plain,
( complement(composition(top,top)) != zero
| composition(top,complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) = composition(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(top,top))),composition(top,complement(composition(top,top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2323,plain,
( complement(composition(top,top)) != zero
| composition(top,complement(composition(top,top))) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_2321,refute_0_2322]) ).
cnf(refute_0_2324,plain,
composition(top,complement(composition(top,top))) = composition(top,zero),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_2320,refute_0_2323]) ).
cnf(refute_0_2325,plain,
join(top,X1) = top,
inference(subst,[],[refute_0_595:[bind(X_34,$fot(X1))]]) ).
cnf(refute_0_2326,plain,
composition(join(top,X1),complement(composition(top,top))) = composition(join(top,X1),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(top,X1),complement(composition(top,top))))]]) ).
cnf(refute_0_2327,plain,
( composition(join(top,X1),complement(composition(top,top))) != composition(join(top,X1),complement(composition(top,top)))
| join(top,X1) != top
| composition(join(top,X1),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(join(top,X1),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2328,plain,
( join(top,X1) != top
| composition(join(top,X1),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(join(top,X1),complement(composition(top,top)))) )],[refute_0_2326,refute_0_2327]) ).
cnf(refute_0_2329,plain,
composition(join(top,X1),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(top,X1),top) )],[refute_0_2325,refute_0_2328]) ).
cnf(refute_0_2330,plain,
( composition(join(top,X1),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != composition(top,zero)
| composition(join(top,X1),complement(composition(top,top))) = composition(top,zero) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(join(top,X1),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(composition(top,zero)))]]) ).
cnf(refute_0_2331,plain,
( composition(top,complement(composition(top,top))) != composition(top,zero)
| composition(join(top,X1),complement(composition(top,top))) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_2329,refute_0_2330]) ).
cnf(refute_0_2332,plain,
composition(join(top,X1),complement(composition(top,top))) = composition(top,zero),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),composition(top,zero)) )],[refute_0_2324,refute_0_2331]) ).
cnf(refute_0_2333,plain,
( composition(join(top,X1),complement(composition(top,top))) != composition(top,zero)
| composition(join(top,X1),complement(composition(top,top))) != join(zero,composition(X1,complement(composition(top,top))))
| composition(top,zero) = join(zero,composition(X1,complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(zero,composition(X1,complement(composition(top,top))))) ),[0],$fot(composition(top,zero))]]) ).
cnf(refute_0_2334,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(zero,composition(X1,complement(composition(top,top))))
| composition(top,zero) = join(zero,composition(X1,complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(top,zero)) )],[refute_0_2332,refute_0_2333]) ).
cnf(refute_0_2335,plain,
composition(X1,complement(composition(top,top))) = composition(X1,complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(X1,complement(composition(top,top))))]]) ).
cnf(refute_0_2336,plain,
( complement(composition(top,top)) != zero
| composition(X1,complement(composition(top,top))) != composition(X1,complement(composition(top,top)))
| composition(X1,complement(composition(top,top))) = composition(X1,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X1,complement(composition(top,top))),composition(X1,complement(composition(top,top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2337,plain,
( complement(composition(top,top)) != zero
| composition(X1,complement(composition(top,top))) = composition(X1,zero) ),
inference(resolve,[$cnf( $equal(composition(X1,complement(composition(top,top))),composition(X1,complement(composition(top,top)))) )],[refute_0_2335,refute_0_2336]) ).
cnf(refute_0_2338,plain,
composition(X1,complement(composition(top,top))) = composition(X1,zero),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_2320,refute_0_2337]) ).
cnf(refute_0_2339,plain,
join(zero,composition(X1,complement(composition(top,top)))) = composition(X1,complement(composition(top,top))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(composition(X1,complement(composition(top,top)))))]]) ).
cnf(refute_0_2340,plain,
( composition(X1,complement(composition(top,top))) != composition(X1,zero)
| join(zero,composition(X1,complement(composition(top,top)))) != composition(X1,complement(composition(top,top)))
| join(zero,composition(X1,complement(composition(top,top)))) = composition(X1,zero) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(zero,composition(X1,complement(composition(top,top)))))),bind(Y,$fot(composition(X1,complement(composition(top,top))))),bind(Z,$fot(composition(X1,zero)))]]) ).
cnf(refute_0_2341,plain,
( composition(X1,complement(composition(top,top))) != composition(X1,zero)
| join(zero,composition(X1,complement(composition(top,top)))) = composition(X1,zero) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X1,complement(composition(top,top)))),composition(X1,complement(composition(top,top)))) )],[refute_0_2339,refute_0_2340]) ).
cnf(refute_0_2342,plain,
join(zero,composition(X1,complement(composition(top,top)))) = composition(X1,zero),
inference(resolve,[$cnf( $equal(composition(X1,complement(composition(top,top))),composition(X1,zero)) )],[refute_0_2338,refute_0_2341]) ).
cnf(refute_0_2343,plain,
( composition(top,zero) != join(zero,composition(X1,complement(composition(top,top))))
| join(zero,composition(X1,complement(composition(top,top)))) != composition(X1,zero)
| composition(top,zero) = composition(X1,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,zero),composition(X1,zero)) ),[0],$fot(join(zero,composition(X1,complement(composition(top,top)))))]]) ).
cnf(refute_0_2344,plain,
( composition(top,zero) != join(zero,composition(X1,complement(composition(top,top))))
| composition(top,zero) = composition(X1,zero) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X1,complement(composition(top,top)))),composition(X1,zero)) )],[refute_0_2342,refute_0_2343]) ).
cnf(refute_0_2345,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(zero,composition(X1,complement(composition(top,top))))
| composition(top,zero) = composition(X1,zero) ),
inference(resolve,[$cnf( $equal(composition(top,zero),join(zero,composition(X1,complement(composition(top,top))))) )],[refute_0_2334,refute_0_2344]) ).
cnf(refute_0_2346,plain,
composition(top,zero) = composition(X1,zero),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(zero,composition(X1,complement(composition(top,top))))) )],[refute_0_2054,refute_0_2345]) ).
cnf(refute_0_2347,plain,
( composition(top,complement(composition(top,top))) != composition(top,zero)
| composition(top,complement(composition(top,top))) != zero
| composition(top,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) ),[0],$fot(composition(top,zero))]]) ).
cnf(refute_0_2348,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(top,zero) = zero ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),composition(top,zero)) )],[refute_0_2324,refute_0_2347]) ).
cnf(refute_0_2349,plain,
composition(top,zero) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_2051,refute_0_2348]) ).
cnf(refute_0_2350,plain,
( composition(top,zero) != composition(X1,zero)
| composition(top,zero) != zero
| zero = composition(X1,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,zero),composition(X1,zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_2351,plain,
( composition(top,zero) != composition(X1,zero)
| zero = composition(X1,zero) ),
inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_0_2349,refute_0_2350]) ).
cnf(refute_0_2352,plain,
zero = composition(X1,zero),
inference(resolve,[$cnf( $equal(composition(top,zero),composition(X1,zero)) )],[refute_0_2346,refute_0_2351]) ).
cnf(refute_0_2353,plain,
zero = composition(converse(X0),zero),
inference(subst,[],[refute_0_2352:[bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_2354,plain,
( zero != composition(converse(X0),zero)
| composition(converse(X0),zero) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(X0),zero)))]]) ).
cnf(refute_0_2355,plain,
composition(converse(X0),zero) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(X0),zero)) )],[refute_0_2353,refute_0_2354]) ).
cnf(refute_0_2356,plain,
( composition(converse(X0),zero) != zero
| converse(composition(converse(X0),zero)) != composition(converse(zero),X0)
| converse(zero) = composition(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),zero)),composition(converse(zero),X0)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2357,plain,
( converse(composition(converse(X0),zero)) != composition(converse(zero),X0)
| converse(zero) = composition(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(X0),zero),zero) )],[refute_0_2355,refute_0_2356]) ).
cnf(refute_0_2358,plain,
converse(zero) = composition(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),zero)),composition(converse(zero),X0)) )],[refute_0_2035,refute_0_2357]) ).
cnf(refute_0_2359,plain,
zero = meet(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_2360,plain,
top = join(complement(converse(zero)),converse(complement(converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_896:[bind(X_28,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2361,plain,
top = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_896:[bind(X_28,$fot(zero))]]) ).
cnf(refute_0_2362,plain,
join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2363,plain,
( join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| top != join(zero,converse(complement(converse(zero))))
| top = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) ),[1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_2364,plain,
( top != join(zero,converse(complement(converse(zero))))
| top = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_2362,refute_0_2363]) ).
cnf(refute_0_2365,plain,
top = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) )],[refute_0_2361,refute_0_2364]) ).
cnf(refute_0_2366,plain,
( top != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_2367,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,converse(complement(converse(zero)))) )],[refute_0_2365,refute_0_2366]) ).
cnf(refute_0_2368,plain,
( converse(complement(converse(zero))) != top
| top != join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))
| top = join(complement(converse(zero)),converse(complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_2369,plain,
( top != join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))
| top = join(complement(converse(zero)),converse(complement(top))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_2367,refute_0_2368]) ).
cnf(refute_0_2370,plain,
top = join(complement(converse(zero)),converse(complement(top))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))) )],[refute_0_2360,refute_0_2369]) ).
cnf(refute_0_2371,plain,
converse(join(zero,converse(X0))) = join(converse(zero),X0),
inference(subst,[],[refute_0_859:[bind(X_25,$fot(zero))]]) ).
cnf(refute_0_2372,plain,
join(zero,converse(X0)) = converse(X0),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(converse(X0)))]]) ).
cnf(refute_0_2373,plain,
( converse(join(zero,converse(X0))) != join(converse(zero),X0)
| join(zero,converse(X0)) != converse(X0)
| converse(converse(X0)) = join(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) ),[0,0],$fot(converse(X0))]]) ).
cnf(refute_0_2374,plain,
( converse(join(zero,converse(X0))) != join(converse(zero),X0)
| converse(converse(X0)) = join(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(join(zero,converse(X0)),converse(X0)) )],[refute_0_2372,refute_0_2373]) ).
cnf(refute_0_2375,plain,
converse(converse(X0)) = join(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) )],[refute_0_2371,refute_0_2374]) ).
cnf(refute_0_2376,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != join(converse(zero),X0)
| X0 = join(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) ),[0],$fot(X0)]]) ).
cnf(refute_0_2377,plain,
( converse(converse(X0)) != join(converse(zero),X0)
| X0 = join(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_95,refute_0_2376]) ).
cnf(refute_0_2378,plain,
X0 = join(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) )],[refute_0_2375,refute_0_2377]) ).
cnf(refute_0_2379,plain,
( X0 != join(converse(zero),X0)
| join(converse(zero),X0) = X0 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X0)),bind(Y,$fot(join(converse(zero),X0)))]]) ).
cnf(refute_0_2380,plain,
join(converse(zero),X0) = X0,
inference(resolve,[$cnf( $equal(X0,join(converse(zero),X0)) )],[refute_0_2378,refute_0_2379]) ).
cnf(refute_0_2381,plain,
join(converse(zero),complement(converse(zero))) = complement(converse(zero)),
inference(subst,[],[refute_0_2380:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2382,plain,
join(complement(converse(zero)),converse(zero)) = join(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(converse(zero))),bind(X1,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2383,plain,
( join(complement(converse(zero)),converse(zero)) != join(converse(zero),complement(converse(zero)))
| join(converse(zero),complement(converse(zero))) != complement(converse(zero))
| join(complement(converse(zero)),converse(zero)) = complement(converse(zero)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(converse(zero)),converse(zero)))),bind(Y,$fot(join(converse(zero),complement(converse(zero))))),bind(Z,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2384,plain,
( join(converse(zero),complement(converse(zero))) != complement(converse(zero))
| join(complement(converse(zero)),converse(zero)) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(zero)),join(converse(zero),complement(converse(zero)))) )],[refute_0_2382,refute_0_2383]) ).
cnf(refute_0_2385,plain,
join(complement(converse(zero)),converse(zero)) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(join(converse(zero),complement(converse(zero))),complement(converse(zero))) )],[refute_0_2381,refute_0_2384]) ).
cnf(refute_0_2386,plain,
converse(complement(top)) = converse(complement(top)),
introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).
cnf(refute_0_2387,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_2388,plain,
( complement(top) != zero
| converse(complement(top)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_2386,refute_0_2387]) ).
cnf(refute_0_2389,plain,
converse(complement(top)) = converse(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_2388]) ).
cnf(refute_0_2390,plain,
join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(complement(top))),
introduced(tautology,[refl,[$fot(join(complement(converse(zero)),converse(complement(top))))]]) ).
cnf(refute_0_2391,plain,
( converse(complement(top)) != converse(zero)
| join(complement(converse(zero)),converse(complement(top))) != join(complement(converse(zero)),converse(complement(top)))
| join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(complement(top)))) ),[1,1],$fot(converse(zero))]]) ).
cnf(refute_0_2392,plain,
( converse(complement(top)) != converse(zero)
| join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(complement(top)))) )],[refute_0_2390,refute_0_2391]) ).
cnf(refute_0_2393,plain,
join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_2389,refute_0_2392]) ).
cnf(refute_0_2394,plain,
( join(complement(converse(zero)),converse(complement(top))) != join(complement(converse(zero)),converse(zero))
| join(complement(converse(zero)),converse(zero)) != complement(converse(zero))
| join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(converse(zero)),converse(complement(top))))),bind(Y,$fot(join(complement(converse(zero)),converse(zero)))),bind(Z,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2395,plain,
( join(complement(converse(zero)),converse(zero)) != complement(converse(zero))
| join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(zero))) )],[refute_0_2393,refute_0_2394]) ).
cnf(refute_0_2396,plain,
join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(zero)),complement(converse(zero))) )],[refute_0_2385,refute_0_2395]) ).
cnf(refute_0_2397,plain,
( join(complement(converse(zero)),converse(complement(top))) != complement(converse(zero))
| top != join(complement(converse(zero)),converse(complement(top)))
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(top)))) ),[1],$fot(complement(converse(zero)))]]) ).
cnf(refute_0_2398,plain,
( top != join(complement(converse(zero)),converse(complement(top)))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),complement(converse(zero))) )],[refute_0_2396,refute_0_2397]) ).
cnf(refute_0_2399,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(top)))) )],[refute_0_2370,refute_0_2398]) ).
cnf(refute_0_2400,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2401,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_2399,refute_0_2400]) ).
cnf(refute_0_2402,plain,
( complement(converse(zero)) != top
| zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2403,plain,
( zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2401,refute_0_2402]) ).
cnf(refute_0_2404,plain,
zero = meet(converse(zero),top),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_2359,refute_0_2403]) ).
cnf(refute_0_2405,plain,
meet(converse(zero),top) = converse(zero),
inference(subst,[],[refute_0_1574:[bind(X_96,$fot(converse(zero)))]]) ).
cnf(refute_0_2406,plain,
( meet(converse(zero),top) != converse(zero)
| zero != meet(converse(zero),top)
| zero = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),top)) ),[1],$fot(converse(zero))]]) ).
cnf(refute_0_2407,plain,
( zero != meet(converse(zero),top)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_2405,refute_0_2406]) ).
cnf(refute_0_2408,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_2404,refute_0_2407]) ).
cnf(refute_0_2409,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_0_2410,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_2408,refute_0_2409]) ).
cnf(refute_0_2411,plain,
( converse(zero) != composition(converse(zero),X0)
| converse(zero) != zero
| zero = composition(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(zero),X0)) ),[0],$fot(zero)]]) ).
cnf(refute_0_2412,plain,
( converse(zero) != composition(converse(zero),X0)
| zero = composition(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2410,refute_0_2411]) ).
cnf(refute_0_2413,plain,
composition(converse(zero),X0) = composition(converse(zero),X0),
introduced(tautology,[refl,[$fot(composition(converse(zero),X0))]]) ).
cnf(refute_0_2414,plain,
( composition(converse(zero),X0) != composition(converse(zero),X0)
| converse(zero) != zero
| composition(converse(zero),X0) = composition(zero,X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(zero),X0),composition(converse(zero),X0)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2415,plain,
( converse(zero) != zero
| composition(converse(zero),X0) = composition(zero,X0) ),
inference(resolve,[$cnf( $equal(composition(converse(zero),X0),composition(converse(zero),X0)) )],[refute_0_2413,refute_0_2414]) ).
cnf(refute_0_2416,plain,
composition(converse(zero),X0) = composition(zero,X0),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2410,refute_0_2415]) ).
cnf(refute_0_2417,plain,
( composition(converse(zero),X0) != composition(zero,X0)
| zero != composition(converse(zero),X0)
| zero = composition(zero,X0) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(zero),X0)) ),[1],$fot(composition(zero,X0))]]) ).
cnf(refute_0_2418,plain,
( zero != composition(converse(zero),X0)
| zero = composition(zero,X0) ),
inference(resolve,[$cnf( $equal(composition(converse(zero),X0),composition(zero,X0)) )],[refute_0_2416,refute_0_2417]) ).
cnf(refute_0_2419,plain,
( converse(zero) != composition(converse(zero),X0)
| zero = composition(zero,X0) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(zero),X0)) )],[refute_0_2412,refute_0_2418]) ).
cnf(refute_0_2420,plain,
zero = composition(zero,X0),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(zero),X0)) )],[refute_0_2358,refute_0_2419]) ).
cnf(refute_0_2421,plain,
( zero != composition(zero,X0)
| composition(zero,X0) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(zero,X0)))]]) ).
cnf(refute_0_2422,plain,
composition(zero,X0) = zero,
inference(resolve,[$cnf( $equal(zero,composition(zero,X0)) )],[refute_0_2420,refute_0_2421]) ).
cnf(refute_0_2423,plain,
composition(zero,skolemFOFtoCNF_X0) = zero,
inference(subst,[],[refute_0_2422:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2424,plain,
meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)) = meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2425,plain,
( composition(zero,skolemFOFtoCNF_X0) != zero
| meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)) != meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))
| meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)) = meet(complement(X_456),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2426,plain,
( composition(zero,skolemFOFtoCNF_X0) != zero
| meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)) = meet(complement(X_456),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) )],[refute_0_2424,refute_0_2425]) ).
cnf(refute_0_2427,plain,
meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)) = meet(complement(X_456),zero),
inference(resolve,[$cnf( $equal(composition(zero,skolemFOFtoCNF_X0),zero) )],[refute_0_2423,refute_0_2426]) ).
cnf(refute_0_2428,plain,
( meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)) != meet(complement(X_456),zero)
| meet(complement(X_456),zero) != zero
| meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)) = zero ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(X_456),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2429,plain,
( meet(complement(X_456),zero) != zero
| meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),zero)) )],[refute_0_2427,refute_0_2428]) ).
cnf(refute_0_2430,plain,
meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(X_456),zero),zero) )],[refute_0_2034,refute_0_2429]) ).
cnf(refute_0_2431,plain,
join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2432,plain,
( join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)) != zero
| join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2433,plain,
( meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)) != zero
| join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_2431,refute_0_2432]) ).
cnf(refute_0_2434,plain,
join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),zero) )],[refute_0_2430,refute_0_2433]) ).
cnf(refute_0_2435,plain,
( join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))
| join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(Z,$fot(join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2436,plain,
( join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))
| join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_2434,refute_0_2435]) ).
cnf(refute_0_2437,plain,
join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))) )],[refute_0_1216,refute_0_2436]) ).
cnf(refute_0_2438,plain,
( join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))
| join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) != meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2439,plain,
( join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) != meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))) )],[refute_0_2437,refute_0_2438]) ).
cnf(refute_0_2440,plain,
join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_1204,refute_0_2439]) ).
cnf(refute_0_2441,plain,
join(join(X_530,X_529),X1) = join(X1,join(X_530,X_529)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_530,X_529)))]]) ).
cnf(refute_0_2442,plain,
join(X1,join(X_530,X_529)) = join(X1,join(X_529,X_530)),
inference(subst,[],[refute_0_2126:[bind(X_34,$fot(X1)),bind(X_35,$fot(X_529)),bind(X_36,$fot(X_530))]]) ).
cnf(refute_0_2443,plain,
( join(X1,join(X_530,X_529)) != join(X1,join(X_529,X_530))
| join(join(X_530,X_529),X1) != join(X1,join(X_530,X_529))
| join(join(X_530,X_529),X1) = join(X1,join(X_529,X_530)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_530,X_529),X1),join(X1,join(X_530,X_529))) ),[1],$fot(join(X1,join(X_529,X_530)))]]) ).
cnf(refute_0_2444,plain,
( join(join(X_530,X_529),X1) != join(X1,join(X_530,X_529))
| join(join(X_530,X_529),X1) = join(X1,join(X_529,X_530)) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_530,X_529)),join(X1,join(X_529,X_530))) )],[refute_0_2442,refute_0_2443]) ).
cnf(refute_0_2445,plain,
join(join(X_530,X_529),X1) = join(X1,join(X_529,X_530)),
inference(resolve,[$cnf( $equal(join(join(X_530,X_529),X1),join(X1,join(X_530,X_529))) )],[refute_0_2441,refute_0_2444]) ).
cnf(refute_0_2446,plain,
join(join(X_530,X_529),X1) = join(X_530,join(X_529,X1)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(X_530)),bind(X1,$fot(X_529)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_2447,plain,
( join(join(X_530,X_529),X1) != join(X1,join(X_529,X_530))
| join(join(X_530,X_529),X1) != join(X_530,join(X_529,X1))
| join(X_530,join(X_529,X1)) = join(X1,join(X_529,X_530)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_530,X_529),X1),join(X1,join(X_529,X_530))) ),[0],$fot(join(X_530,join(X_529,X1)))]]) ).
cnf(refute_0_2448,plain,
( join(join(X_530,X_529),X1) != join(X1,join(X_529,X_530))
| join(X_530,join(X_529,X1)) = join(X1,join(X_529,X_530)) ),
inference(resolve,[$cnf( $equal(join(join(X_530,X_529),X1),join(X_530,join(X_529,X1))) )],[refute_0_2446,refute_0_2447]) ).
cnf(refute_0_2449,plain,
join(X_530,join(X_529,X1)) = join(X1,join(X_529,X_530)),
inference(resolve,[$cnf( $equal(join(join(X_530,X_529),X1),join(X1,join(X_529,X_530))) )],[refute_0_2445,refute_0_2448]) ).
cnf(refute_0_2450,plain,
join(X_764,join(meet(X_226,X_225),meet(X_225,X_226))) = join(meet(X_225,X_226),join(meet(X_226,X_225),X_764)),
inference(subst,[],[refute_0_2449:[bind(X1,$fot(meet(X_225,X_226))),bind(X_529,$fot(meet(X_226,X_225))),bind(X_530,$fot(X_764))]]) ).
cnf(refute_0_2451,plain,
( join(X_764,join(meet(X_226,X_225),meet(X_225,X_226))) != join(meet(X_225,X_226),join(meet(X_226,X_225),X_764))
| join(meet(X_226,X_225),meet(X_225,X_226)) != meet(X_226,X_225)
| join(X_764,meet(X_226,X_225)) = join(meet(X_225,X_226),join(meet(X_226,X_225),X_764)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_764,join(meet(X_226,X_225),meet(X_225,X_226))),join(meet(X_225,X_226),join(meet(X_226,X_225),X_764))) ),[0,1],$fot(meet(X_226,X_225))]]) ).
cnf(refute_0_2452,plain,
( join(X_764,join(meet(X_226,X_225),meet(X_225,X_226))) != join(meet(X_225,X_226),join(meet(X_226,X_225),X_764))
| join(X_764,meet(X_226,X_225)) = join(meet(X_225,X_226),join(meet(X_226,X_225),X_764)) ),
inference(resolve,[$cnf( $equal(join(meet(X_226,X_225),meet(X_225,X_226)),meet(X_226,X_225)) )],[refute_0_1393,refute_0_2451]) ).
cnf(refute_0_2453,plain,
join(X_764,meet(X_226,X_225)) = join(meet(X_225,X_226),join(meet(X_226,X_225),X_764)),
inference(resolve,[$cnf( $equal(join(X_764,join(meet(X_226,X_225),meet(X_225,X_226))),join(meet(X_225,X_226),join(meet(X_226,X_225),X_764))) )],[refute_0_2450,refute_0_2452]) ).
cnf(refute_0_2454,plain,
join(X0,join(meet(X_556,X_555),meet(X_555,X_556))) = join(meet(X_556,X_555),join(meet(X_555,X_556),X0)),
inference(subst,[],[refute_0_457:[bind(X_34,$fot(meet(X_556,X_555))),bind(X_35,$fot(meet(X_555,X_556)))]]) ).
cnf(refute_0_2455,plain,
( join(X0,join(meet(X_556,X_555),meet(X_555,X_556))) != join(meet(X_556,X_555),join(meet(X_555,X_556),X0))
| join(meet(X_556,X_555),meet(X_555,X_556)) != meet(X_556,X_555)
| join(X0,meet(X_556,X_555)) = join(meet(X_556,X_555),join(meet(X_555,X_556),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X_556,X_555),meet(X_555,X_556))),join(meet(X_556,X_555),join(meet(X_555,X_556),X0))) ),[0,1],$fot(meet(X_556,X_555))]]) ).
cnf(refute_0_2456,plain,
( join(X0,join(meet(X_556,X_555),meet(X_555,X_556))) != join(meet(X_556,X_555),join(meet(X_555,X_556),X0))
| join(X0,meet(X_556,X_555)) = join(meet(X_556,X_555),join(meet(X_555,X_556),X0)) ),
inference(resolve,[$cnf( $equal(join(meet(X_556,X_555),meet(X_555,X_556)),meet(X_556,X_555)) )],[refute_0_1394,refute_0_2455]) ).
cnf(refute_0_2457,plain,
join(X0,meet(X_556,X_555)) = join(meet(X_556,X_555),join(meet(X_555,X_556),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X_556,X_555),meet(X_555,X_556))),join(meet(X_556,X_555),join(meet(X_555,X_556),X0))) )],[refute_0_2454,refute_0_2456]) ).
cnf(refute_0_2458,plain,
( join(X0,meet(X_556,X_555)) != join(meet(X_556,X_555),join(meet(X_555,X_556),X0))
| join(meet(X_556,X_555),join(meet(X_555,X_556),X0)) = join(X0,meet(X_556,X_555)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,meet(X_556,X_555)))),bind(Y,$fot(join(meet(X_556,X_555),join(meet(X_555,X_556),X0))))]]) ).
cnf(refute_0_2459,plain,
join(meet(X_556,X_555),join(meet(X_555,X_556),X0)) = join(X0,meet(X_556,X_555)),
inference(resolve,[$cnf( $equal(join(X0,meet(X_556,X_555)),join(meet(X_556,X_555),join(meet(X_555,X_556),X0))) )],[refute_0_2457,refute_0_2458]) ).
cnf(refute_0_2460,plain,
join(meet(X_225,X_226),join(meet(X_226,X_225),X_764)) = join(X_764,meet(X_225,X_226)),
inference(subst,[],[refute_0_2459:[bind(X0,$fot(X_764)),bind(X_555,$fot(X_226)),bind(X_556,$fot(X_225))]]) ).
cnf(refute_0_2461,plain,
( join(X_764,meet(X_226,X_225)) != join(meet(X_225,X_226),join(meet(X_226,X_225),X_764))
| join(meet(X_225,X_226),join(meet(X_226,X_225),X_764)) != join(X_764,meet(X_225,X_226))
| join(X_764,meet(X_226,X_225)) = join(X_764,meet(X_225,X_226)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_764,meet(X_226,X_225)),join(X_764,meet(X_225,X_226))) ),[0],$fot(join(meet(X_225,X_226),join(meet(X_226,X_225),X_764)))]]) ).
cnf(refute_0_2462,plain,
( join(X_764,meet(X_226,X_225)) != join(meet(X_225,X_226),join(meet(X_226,X_225),X_764))
| join(X_764,meet(X_226,X_225)) = join(X_764,meet(X_225,X_226)) ),
inference(resolve,[$cnf( $equal(join(meet(X_225,X_226),join(meet(X_226,X_225),X_764)),join(X_764,meet(X_225,X_226))) )],[refute_0_2460,refute_0_2461]) ).
cnf(refute_0_2463,plain,
join(X_764,meet(X_226,X_225)) = join(X_764,meet(X_225,X_226)),
inference(resolve,[$cnf( $equal(join(X_764,meet(X_226,X_225)),join(meet(X_225,X_226),join(meet(X_226,X_225),X_764))) )],[refute_0_2453,refute_0_2462]) ).
cnf(refute_0_2464,plain,
( join(X_764,meet(X_226,X_225)) != join(X_764,meet(X_225,X_226))
| join(X_764,meet(X_225,X_226)) = join(X_764,meet(X_226,X_225)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_764,meet(X_226,X_225)))),bind(Y,$fot(join(X_764,meet(X_225,X_226))))]]) ).
cnf(refute_0_2465,plain,
join(X_764,meet(X_225,X_226)) = join(X_764,meet(X_226,X_225)),
inference(resolve,[$cnf( $equal(join(X_764,meet(X_226,X_225)),join(X_764,meet(X_225,X_226))) )],[refute_0_2463,refute_0_2464]) ).
cnf(refute_0_2466,plain,
join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456))) = join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2465:[bind(X_225,$fot(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),bind(X_226,$fot(complement(X_456))),bind(X_764,$fot(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2467,plain,
join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) = join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456))),
inference(subst,[],[refute_0_390:[bind(X_34,$fot(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)))),bind(X_35,$fot(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2468,plain,
( join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456))) != join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) != join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)))
| join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) = join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))))),bind(Y,$fot(join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456))))),bind(Z,$fot(join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2469,plain,
( join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456))) != join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) = join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))),join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)))) )],[refute_0_2467,refute_0_2468]) ).
cnf(refute_0_2470,plain,
join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) = join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456))),join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_2466,refute_0_2469]) ).
cnf(refute_0_2471,plain,
( join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) != join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) = meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))))),bind(Y,$fot(join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2472,plain,
( join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) = meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))),join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_2470,refute_0_2471]) ).
cnf(refute_0_2473,plain,
join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) = meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0)),meet(complement(X_456),composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_2440,refute_0_2472]) ).
cnf(refute_0_2474,plain,
( join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) != meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) != meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))),meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),[0],$fot(meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2475,plain,
( join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) != meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))),meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_2473,refute_0_2474]) ).
cnf(refute_0_2476,plain,
composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2477,plain,
( composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)
| meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))) != zero
| composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = composition(zero,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2478,plain,
( meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))) != zero
| composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = composition(zero,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) )],[refute_0_2476,refute_0_2477]) ).
cnf(refute_0_2479,plain,
composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = composition(zero,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),zero) )],[refute_0_1200,refute_0_2478]) ).
cnf(refute_0_2480,plain,
( composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != composition(zero,skolemFOFtoCNF_X0)
| composition(zero,skolemFOFtoCNF_X0) != zero
| composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = zero ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),bind(Y,$fot(composition(zero,skolemFOFtoCNF_X0))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2481,plain,
( composition(zero,skolemFOFtoCNF_X0) != zero
| composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = zero ),
inference(resolve,[$cnf( $equal(composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),composition(zero,skolemFOFtoCNF_X0)) )],[refute_0_2479,refute_0_2480]) ).
cnf(refute_0_2482,plain,
composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = zero,
inference(resolve,[$cnf( $equal(composition(zero,skolemFOFtoCNF_X0),zero) )],[refute_0_2423,refute_0_2481]) ).
cnf(refute_0_2483,plain,
meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2484,plain,
( composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != zero
| meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = meet(complement(X_456),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2485,plain,
( composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != zero
| meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = meet(complement(X_456),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) )],[refute_0_2483,refute_0_2484]) ).
cnf(refute_0_2486,plain,
meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = meet(complement(X_456),zero),
inference(resolve,[$cnf( $equal(composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),zero) )],[refute_0_2482,refute_0_2485]) ).
cnf(refute_0_2487,plain,
( meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != meet(complement(X_456),zero)
| meet(complement(X_456),zero) != zero
| meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = zero ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(X_456),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2488,plain,
( meet(complement(X_456),zero) != zero
| meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(complement(X_456),zero)) )],[refute_0_2486,refute_0_2487]) ).
cnf(refute_0_2489,plain,
meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(X_456),zero),zero) )],[refute_0_2034,refute_0_2488]) ).
cnf(refute_0_2490,plain,
( meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != zero
| meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),zero) ),[0],$fot(meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2491,plain,
( meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),zero) )],[refute_0_2489,refute_0_2490]) ).
cnf(refute_0_2492,plain,
( join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))) != meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) )],[refute_0_2475,refute_0_2491]) ).
cnf(refute_0_2493,plain,
meet(complement(X_456),composition(X_456,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(join(meet(composition(composition(X_456,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(X_456)),meet(complement(X_456),composition(zero,skolemFOFtoCNF_X0))),meet(complement(X_456),composition(meet(composition(X_456,converse(skolemFOFtoCNF_X0)),composition(complement(X_456),converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) )],[refute_0_1203,refute_0_2492]) ).
cnf(refute_0_2494,plain,
meet(complement(one),composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = zero,
inference(subst,[],[refute_0_2493:[bind(X_456,$fot(one))]]) ).
cnf(refute_0_2495,plain,
composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_124:[bind(X_13,$fot(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2496,plain,
( composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),bind(Y,$fot(composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2497,plain,
composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_2495,refute_0_2496]) ).
cnf(refute_0_2498,plain,
( composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| meet(complement(one),composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != zero
| meet(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),zero) ),[0,1],$fot(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2499,plain,
( meet(complement(one),composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != zero
| meet(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = zero ),
inference(resolve,[$cnf( $equal(composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_2497,refute_0_2498]) ).
cnf(refute_0_2500,plain,
meet(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(one),composition(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),zero) )],[refute_0_2494,refute_0_2499]) ).
cnf(refute_0_2501,plain,
( join(complement(complement(one)),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))
| meet(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != zero
| join(complement(complement(one)),zero) = join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_2502,plain,
( join(complement(complement(one)),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))
| join(complement(complement(one)),zero) = join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),zero) )],[refute_0_2500,refute_0_2501]) ).
cnf(refute_0_2503,plain,
join(complement(complement(one)),zero) = join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(complement(one),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))) )],[refute_0_1075,refute_0_2502]) ).
cnf(refute_0_2504,plain,
complement(complement(one)) = one,
inference(subst,[],[refute_0_628:[bind(X1,$fot(one))]]) ).
cnf(refute_0_2505,plain,
join(zero,complement(complement(one))) = complement(complement(one)),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(complement(complement(one))))]]) ).
cnf(refute_0_2506,plain,
( complement(complement(one)) != one
| join(zero,complement(complement(one))) != complement(complement(one))
| join(zero,complement(complement(one))) = one ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(zero,complement(complement(one))))),bind(Y,$fot(complement(complement(one)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_2507,plain,
( complement(complement(one)) != one
| join(zero,complement(complement(one))) = one ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(one))),complement(complement(one))) )],[refute_0_2505,refute_0_2506]) ).
cnf(refute_0_2508,plain,
join(zero,complement(complement(one))) = one,
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_2504,refute_0_2507]) ).
cnf(refute_0_2509,plain,
join(complement(complement(one)),zero) = join(zero,complement(complement(one))),
inference(subst,[],[refute_0_390:[bind(X_34,$fot(complement(complement(one)))),bind(X_35,$fot(zero))]]) ).
cnf(refute_0_2510,plain,
( join(complement(complement(one)),zero) != join(zero,complement(complement(one)))
| join(zero,complement(complement(one))) != one
| join(complement(complement(one)),zero) = one ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(complement(one)),zero))),bind(Y,$fot(join(zero,complement(complement(one))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_2511,plain,
( join(zero,complement(complement(one))) != one
| join(complement(complement(one)),zero) = one ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),zero),join(zero,complement(complement(one)))) )],[refute_0_2509,refute_0_2510]) ).
cnf(refute_0_2512,plain,
join(complement(complement(one)),zero) = one,
inference(resolve,[$cnf( $equal(join(zero,complement(complement(one))),one) )],[refute_0_2508,refute_0_2511]) ).
cnf(refute_0_2513,plain,
( join(complement(complement(one)),zero) != join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))
| join(complement(complement(one)),zero) != one
| one = join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),zero),join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))) ),[0],$fot(one)]]) ).
cnf(refute_0_2514,plain,
( join(complement(complement(one)),zero) != join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))
| one = join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),zero),one) )],[refute_0_2512,refute_0_2513]) ).
cnf(refute_0_2515,plain,
join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2516,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2517,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_2515,refute_0_2516]) ).
cnf(refute_0_2518,plain,
join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_2504,refute_0_2517]) ).
cnf(refute_0_2519,plain,
join(composition(X_58,X_60),join(composition(X_59,X_60),X2)) = join(join(composition(X_58,X_60),composition(X_59,X_60)),X2),
inference(subst,[],[refute_0_0:[bind(X0,$fot(composition(X_58,X_60))),bind(X1,$fot(composition(X_59,X_60)))]]) ).
cnf(refute_0_2520,plain,
( join(composition(X_58,X_60),composition(X_59,X_60)) != composition(join(X_58,X_59),X_60)
| join(composition(X_58,X_60),join(composition(X_59,X_60),X2)) != join(join(composition(X_58,X_60),composition(X_59,X_60)),X2)
| join(composition(X_58,X_60),join(composition(X_59,X_60),X2)) = join(composition(join(X_58,X_59),X_60),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_58,X_60),join(composition(X_59,X_60),X2)),join(join(composition(X_58,X_60),composition(X_59,X_60)),X2)) ),[1,0],$fot(composition(join(X_58,X_59),X_60))]]) ).
cnf(refute_0_2521,plain,
( join(composition(X_58,X_60),join(composition(X_59,X_60),X2)) != join(join(composition(X_58,X_60),composition(X_59,X_60)),X2)
| join(composition(X_58,X_60),join(composition(X_59,X_60),X2)) = join(composition(join(X_58,X_59),X_60),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X_58,X_60),composition(X_59,X_60)),composition(join(X_58,X_59),X_60)) )],[refute_0_1699,refute_0_2520]) ).
cnf(refute_0_2522,plain,
join(composition(X_58,X_60),join(composition(X_59,X_60),X2)) = join(composition(join(X_58,X_59),X_60),X2),
inference(resolve,[$cnf( $equal(join(composition(X_58,X_60),join(composition(X_59,X_60),X2)),join(join(composition(X_58,X_60),composition(X_59,X_60)),X2)) )],[refute_0_2519,refute_0_2521]) ).
cnf(refute_0_2523,plain,
join(composition(X_58,skolemFOFtoCNF_X0),join(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0),X2)) = join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2),
inference(subst,[],[refute_0_2522:[bind(X_59,$fot(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))))),bind(X_60,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2524,plain,
converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))) = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_93:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2525,plain,
join(zero,composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top)))) = zero,
inference(subst,[],[refute_0_2043:[bind(X_64,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_2526,plain,
composition(X0,composition(X1,top)) = composition(composition(X0,X1),top),
inference(subst,[],[refute_0_1205:[bind(X2,$fot(top))]]) ).
cnf(refute_0_2527,plain,
( composition(X0,composition(X1,top)) != composition(composition(X0,X1),top)
| composition(composition(X0,X1),top) = composition(X0,composition(X1,top)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(X0,composition(X1,top)))),bind(Y,$fot(composition(composition(X0,X1),top)))]]) ).
cnf(refute_0_2528,plain,
composition(composition(X0,X1),top) = composition(X0,composition(X1,top)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,top)),composition(composition(X0,X1),top)) )],[refute_0_2526,refute_0_2527]) ).
cnf(refute_0_2529,plain,
( composition(composition(X0,X1),top) != composition(X0,composition(X1,top))
| join(zero,composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top)))) != zero
| join(zero,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top)))),zero) ),[0,1,1,0],$fot(composition(X0,composition(X1,top)))]]) ).
cnf(refute_0_2530,plain,
( join(zero,composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top)))) != zero
| join(zero,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),top),composition(X0,composition(X1,top))) )],[refute_0_2528,refute_0_2529]) ).
cnf(refute_0_2531,plain,
join(zero,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top)))),zero) )],[refute_0_2525,refute_0_2530]) ).
cnf(refute_0_2532,plain,
join(zero,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))) = composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))))]]) ).
cnf(refute_0_2533,plain,
( join(zero,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))) != composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))
| join(zero,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))) != zero
| composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))),zero) ),[0],$fot(composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))))]]) ).
cnf(refute_0_2534,plain,
( join(zero,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))) != zero
| composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))),composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))) )],[refute_0_2532,refute_0_2533]) ).
cnf(refute_0_2535,plain,
composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top))))),zero) )],[refute_0_2531,refute_0_2534]) ).
cnf(refute_0_2536,plain,
composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))) = zero,
inference(subst,[],[refute_0_2535:[bind(X0,$fot(converse(join(one,skolemFOFtoCNF_X0)))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2537,plain,
composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) = join(composition(skolemFOFtoCNF_X0,top),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_165:[bind(X_58,$fot(converse(skolemFOFtoCNF_X0))),bind(X_60,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_2538,plain,
join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) = complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_91:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_2539,plain,
meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(join(complement(X_416),composition(X_415,complement(composition(converse(X_415),X_416)))))) = zero,
inference(subst,[],[refute_0_1108:[bind(X_294,$fot(composition(X_415,complement(composition(converse(X_415),X_416))))),bind(X_42,$fot(complement(X_416)))]]) ).
cnf(refute_0_2540,plain,
join(complement(X_65),composition(converse(converse(X0)),complement(composition(converse(X0),X_65)))) = complement(X_65),
inference(subst,[],[refute_0_91:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_65))]]) ).
cnf(refute_0_2541,plain,
( converse(converse(X0)) != X0
| join(complement(X_65),composition(converse(converse(X0)),complement(composition(converse(X0),X_65)))) != complement(X_65)
| join(complement(X_65),composition(X0,complement(composition(converse(X0),X_65)))) = complement(X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),composition(converse(converse(X0)),complement(composition(converse(X0),X_65)))),complement(X_65)) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_2542,plain,
( join(complement(X_65),composition(converse(converse(X0)),complement(composition(converse(X0),X_65)))) != complement(X_65)
| join(complement(X_65),composition(X0,complement(composition(converse(X0),X_65)))) = complement(X_65) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_95,refute_0_2541]) ).
cnf(refute_0_2543,plain,
join(complement(X_65),composition(X0,complement(composition(converse(X0),X_65)))) = complement(X_65),
inference(resolve,[$cnf( $equal(join(complement(X_65),composition(converse(converse(X0)),complement(composition(converse(X0),X_65)))),complement(X_65)) )],[refute_0_2540,refute_0_2542]) ).
cnf(refute_0_2544,plain,
join(complement(X_416),composition(X_415,complement(composition(converse(X_415),X_416)))) = complement(X_416),
inference(subst,[],[refute_0_2543:[bind(X0,$fot(X_415)),bind(X_65,$fot(X_416))]]) ).
cnf(refute_0_2545,plain,
( join(complement(X_416),composition(X_415,complement(composition(converse(X_415),X_416)))) != complement(X_416)
| meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(join(complement(X_416),composition(X_415,complement(composition(converse(X_415),X_416)))))) != zero
| meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(join(complement(X_416),composition(X_415,complement(composition(converse(X_415),X_416)))))),zero) ),[0,1,0],$fot(complement(X_416))]]) ).
cnf(refute_0_2546,plain,
( meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(join(complement(X_416),composition(X_415,complement(composition(converse(X_415),X_416)))))) != zero
| meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(X_416),composition(X_415,complement(composition(converse(X_415),X_416)))),complement(X_416)) )],[refute_0_2544,refute_0_2545]) ).
cnf(refute_0_2547,plain,
meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))) = zero,
inference(resolve,[$cnf( $equal(meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(join(complement(X_416),composition(X_415,complement(composition(converse(X_415),X_416)))))),zero) )],[refute_0_2539,refute_0_2546]) ).
cnf(refute_0_2548,plain,
complement(complement(X_416)) = X_416,
inference(subst,[],[refute_0_628:[bind(X1,$fot(X_416))]]) ).
cnf(refute_0_2549,plain,
meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))) = meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))))]]) ).
cnf(refute_0_2550,plain,
( complement(complement(X_416)) != X_416
| meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))) != meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416))))
| meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))) = meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))),meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416))))) ),[1,0],$fot(X_416)]]) ).
cnf(refute_0_2551,plain,
( complement(complement(X_416)) != X_416
| meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))) = meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))),meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416))))) )],[refute_0_2549,refute_0_2550]) ).
cnf(refute_0_2552,plain,
meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))) = meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416)))),
inference(resolve,[$cnf( $equal(complement(complement(X_416)),X_416) )],[refute_0_2548,refute_0_2551]) ).
cnf(refute_0_2553,plain,
meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))) = meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))),
inference(subst,[],[refute_0_375:[bind(X_225,$fot(complement(complement(X_416)))),bind(X_226,$fot(composition(X_415,complement(composition(converse(X_415),X_416)))))]]) ).
cnf(refute_0_2554,plain,
( meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))) != meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416))))
| meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))) != meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416))))
| meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))) = meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))))),bind(Y,$fot(meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))))),bind(Z,$fot(meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416))))))]]) ).
cnf(refute_0_2555,plain,
( meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))) != meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416))))
| meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))) = meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416)))) ),
inference(resolve,[$cnf( $equal(meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))),meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416))))) )],[refute_0_2553,refute_0_2554]) ).
cnf(refute_0_2556,plain,
meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))) = meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_416)),composition(X_415,complement(composition(converse(X_415),X_416)))),meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416))))) )],[refute_0_2552,refute_0_2555]) ).
cnf(refute_0_2557,plain,
( meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))) != meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416))))
| meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))) != zero
| meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))),zero) ),[0],$fot(meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416)))))]]) ).
cnf(refute_0_2558,plain,
( meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))) != zero
| meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416)))) = zero ),
inference(resolve,[$cnf( $equal(meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))),meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416))))) )],[refute_0_2556,refute_0_2557]) ).
cnf(refute_0_2559,plain,
meet(X_416,composition(X_415,complement(composition(converse(X_415),X_416)))) = zero,
inference(resolve,[$cnf( $equal(meet(composition(X_415,complement(composition(converse(X_415),X_416))),complement(complement(X_416))),zero) )],[refute_0_2547,refute_0_2558]) ).
cnf(refute_0_2560,plain,
meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = zero,
inference(subst,[],[refute_0_2559:[bind(X_415,$fot(skolemFOFtoCNF_X0)),bind(X_416,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_2561,plain,
converse(meet(X_96,X1)) = meet(converse(meet(X_96,X1)),converse(join(meet(X_96,X1),meet(X_96,complement(X1))))),
inference(subst,[],[refute_0_805:[bind(X0,$fot(meet(X_96,X1))),bind(X1,$fot(meet(X_96,complement(X1))))]]) ).
cnf(refute_0_2562,plain,
( converse(meet(X_96,X1)) != meet(converse(meet(X_96,X1)),converse(join(meet(X_96,X1),meet(X_96,complement(X1)))))
| join(meet(X_96,X1),meet(X_96,complement(X1))) != X_96
| converse(meet(X_96,X1)) = meet(converse(meet(X_96,X1)),converse(X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(X_96,X1)),meet(converse(meet(X_96,X1)),converse(join(meet(X_96,X1),meet(X_96,complement(X1)))))) ),[1,1,0],$fot(X_96)]]) ).
cnf(refute_0_2563,plain,
( converse(meet(X_96,X1)) != meet(converse(meet(X_96,X1)),converse(join(meet(X_96,X1),meet(X_96,complement(X1)))))
| converse(meet(X_96,X1)) = meet(converse(meet(X_96,X1)),converse(X_96)) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,X1),meet(X_96,complement(X1))),X_96) )],[refute_0_1906,refute_0_2562]) ).
cnf(refute_0_2564,plain,
converse(meet(X_96,X1)) = meet(converse(meet(X_96,X1)),converse(X_96)),
inference(resolve,[$cnf( $equal(converse(meet(X_96,X1)),meet(converse(meet(X_96,X1)),converse(join(meet(X_96,X1),meet(X_96,complement(X1)))))) )],[refute_0_2561,refute_0_2563]) ).
cnf(refute_0_2565,plain,
meet(converse(meet(X_96,X1)),converse(X_96)) = meet(converse(X_96),converse(meet(X_96,X1))),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(converse(X_96))),bind(X_8,$fot(converse(meet(X_96,X1))))]]) ).
cnf(refute_0_2566,plain,
( converse(meet(X_96,X1)) != meet(converse(meet(X_96,X1)),converse(X_96))
| meet(converse(meet(X_96,X1)),converse(X_96)) != meet(converse(X_96),converse(meet(X_96,X1)))
| converse(meet(X_96,X1)) = meet(converse(X_96),converse(meet(X_96,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(X_96,X1)),meet(converse(X_96),converse(meet(X_96,X1)))) ),[0],$fot(meet(converse(meet(X_96,X1)),converse(X_96)))]]) ).
cnf(refute_0_2567,plain,
( converse(meet(X_96,X1)) != meet(converse(meet(X_96,X1)),converse(X_96))
| converse(meet(X_96,X1)) = meet(converse(X_96),converse(meet(X_96,X1))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(X_96,X1)),converse(X_96)),meet(converse(X_96),converse(meet(X_96,X1)))) )],[refute_0_2565,refute_0_2566]) ).
cnf(refute_0_2568,plain,
converse(meet(X_96,X1)) = meet(converse(X_96),converse(meet(X_96,X1))),
inference(resolve,[$cnf( $equal(converse(meet(X_96,X1)),meet(converse(meet(X_96,X1)),converse(X_96))) )],[refute_0_2564,refute_0_2567]) ).
cnf(refute_0_2569,plain,
converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024))))),
inference(subst,[],[refute_0_2568:[bind(X1,$fot(converse(composition(skolemFOFtoCNF_X0,X_1024)))),bind(X_96,$fot(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_2570,plain,
composition(X0,X2) = meet(composition(X0,X2),join(composition(X0,X2),composition(X1,X2))),
inference(subst,[],[refute_0_644:[bind(X_36,$fot(composition(X1,X2))),bind(X_96,$fot(composition(X0,X2)))]]) ).
cnf(refute_0_2571,plain,
( composition(X0,X2) != meet(composition(X0,X2),join(composition(X0,X2),composition(X1,X2)))
| join(composition(X0,X2),composition(X1,X2)) != composition(join(X0,X1),X2)
| composition(X0,X2) = meet(composition(X0,X2),composition(join(X0,X1),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,X2),meet(composition(X0,X2),join(composition(X0,X2),composition(X1,X2)))) ),[1,1],$fot(composition(join(X0,X1),X2))]]) ).
cnf(refute_0_2572,plain,
( composition(X0,X2) != meet(composition(X0,X2),join(composition(X0,X2),composition(X1,X2)))
| composition(X0,X2) = meet(composition(X0,X2),composition(join(X0,X1),X2)) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),composition(X1,X2)),composition(join(X0,X1),X2)) )],[refute_0_1704,refute_0_2571]) ).
cnf(refute_0_2573,plain,
composition(X0,X2) = meet(composition(X0,X2),composition(join(X0,X1),X2)),
inference(resolve,[$cnf( $equal(composition(X0,X2),meet(composition(X0,X2),join(composition(X0,X2),composition(X1,X2)))) )],[refute_0_2570,refute_0_2572]) ).
cnf(refute_0_2574,plain,
composition(X_1010,converse(skolemFOFtoCNF_X0)) = meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),composition(join(X_1010,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2573:[bind(X0,$fot(X_1010)),bind(X1,$fot(composition(top,skolemFOFtoCNF_X0))),bind(X2,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2575,plain,
composition(join(X_58,composition(X0,X1)),X_60) = join(composition(X_58,X_60),composition(composition(X0,X1),X_60)),
inference(subst,[],[refute_0_154:[bind(X0,$fot(X_58)),bind(X1,$fot(composition(X0,X1))),bind(X2,$fot(X_60))]]) ).
cnf(refute_0_2576,plain,
composition(X0,composition(X1,X_60)) = composition(composition(X0,X1),X_60),
inference(subst,[],[refute_0_1205:[bind(X2,$fot(X_60))]]) ).
cnf(refute_0_2577,plain,
( composition(X0,composition(X1,X_60)) != composition(composition(X0,X1),X_60)
| composition(composition(X0,X1),X_60) = composition(X0,composition(X1,X_60)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(X0,composition(X1,X_60)))),bind(Y,$fot(composition(composition(X0,X1),X_60)))]]) ).
cnf(refute_0_2578,plain,
composition(composition(X0,X1),X_60) = composition(X0,composition(X1,X_60)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X_60)),composition(composition(X0,X1),X_60)) )],[refute_0_2576,refute_0_2577]) ).
cnf(refute_0_2579,plain,
( composition(composition(X0,X1),X_60) != composition(X0,composition(X1,X_60))
| composition(join(X_58,composition(X0,X1)),X_60) != join(composition(X_58,X_60),composition(composition(X0,X1),X_60))
| composition(join(X_58,composition(X0,X1)),X_60) = join(composition(X_58,X_60),composition(X0,composition(X1,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_58,composition(X0,X1)),X_60),join(composition(X_58,X_60),composition(composition(X0,X1),X_60))) ),[1,1],$fot(composition(X0,composition(X1,X_60)))]]) ).
cnf(refute_0_2580,plain,
( composition(join(X_58,composition(X0,X1)),X_60) != join(composition(X_58,X_60),composition(composition(X0,X1),X_60))
| composition(join(X_58,composition(X0,X1)),X_60) = join(composition(X_58,X_60),composition(X0,composition(X1,X_60))) ),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),X_60),composition(X0,composition(X1,X_60))) )],[refute_0_2578,refute_0_2579]) ).
cnf(refute_0_2581,plain,
composition(join(X_58,composition(X0,X1)),X_60) = join(composition(X_58,X_60),composition(X0,composition(X1,X_60))),
inference(resolve,[$cnf( $equal(composition(join(X_58,composition(X0,X1)),X_60),join(composition(X_58,X_60),composition(composition(X0,X1),X_60))) )],[refute_0_2575,refute_0_2580]) ).
cnf(refute_0_2582,plain,
composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = join(composition(X_685,converse(skolemFOFtoCNF_X0)),composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2581:[bind(X0,$fot(top)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_58,$fot(X_685)),bind(X_60,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2583,plain,
composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = join(composition(X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_154:[bind(X1,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X2,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2584,plain,
converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1170:[bind(X_241,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2585,plain,
join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))) = zero,
inference(subst,[],[refute_0_2043:[bind(X_64,$fot(converse(X0)))]]) ).
cnf(refute_0_2586,plain,
( converse(converse(X0)) != X0
| join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))) != zero
| join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))),zero) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_2587,plain,
( join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))) != zero
| join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_95,refute_0_2586]) ).
cnf(refute_0_2588,plain,
join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))),zero) )],[refute_0_2585,refute_0_2587]) ).
cnf(refute_0_2589,plain,
converse(composition(converse(top),X_12)) = composition(converse(X_12),top),
inference(subst,[],[refute_0_98:[bind(X0,$fot(top))]]) ).
cnf(refute_0_2590,plain,
( converse(composition(converse(top),X_12)) != composition(converse(X_12),top)
| converse(top) != top
| converse(composition(top,X_12)) = composition(converse(X_12),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_12)),composition(converse(X_12),top)) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_2591,plain,
( converse(composition(converse(top),X_12)) != composition(converse(X_12),top)
| converse(composition(top,X_12)) = composition(converse(X_12),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_893,refute_0_2590]) ).
cnf(refute_0_2592,plain,
converse(composition(top,X_12)) = composition(converse(X_12),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_12)),composition(converse(X_12),top)) )],[refute_0_2589,refute_0_2591]) ).
cnf(refute_0_2593,plain,
( converse(composition(top,X_12)) != composition(converse(X_12),top)
| composition(converse(X_12),top) = converse(composition(top,X_12)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(top,X_12)))),bind(Y,$fot(composition(converse(X_12),top)))]]) ).
cnf(refute_0_2594,plain,
composition(converse(X_12),top) = converse(composition(top,X_12)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_12)),composition(converse(X_12),top)) )],[refute_0_2592,refute_0_2593]) ).
cnf(refute_0_2595,plain,
composition(converse(X0),top) = converse(composition(top,X0)),
inference(subst,[],[refute_0_2594:[bind(X_12,$fot(X0))]]) ).
cnf(refute_0_2596,plain,
complement(composition(converse(X0),top)) = complement(composition(converse(X0),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(X0),top)))]]) ).
cnf(refute_0_2597,plain,
( complement(composition(converse(X0),top)) != complement(composition(converse(X0),top))
| composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) ),[1,0],$fot(converse(composition(top,X0)))]]) ).
cnf(refute_0_2598,plain,
( composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) )],[refute_0_2596,refute_0_2597]) ).
cnf(refute_0_2599,plain,
complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))),
inference(resolve,[$cnf( $equal(composition(converse(X0),top),converse(composition(top,X0))) )],[refute_0_2595,refute_0_2598]) ).
cnf(refute_0_2600,plain,
composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(composition(converse(X0),top))),
introduced(tautology,[refl,[$fot(composition(X0,complement(composition(converse(X0),top))))]]) ).
cnf(refute_0_2601,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(composition(converse(X0),top)))
| composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(composition(converse(X0),top)))) ),[1,1],$fot(complement(converse(composition(top,X0))))]]) ).
cnf(refute_0_2602,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))) ),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(composition(converse(X0),top)))) )],[refute_0_2600,refute_0_2601]) ).
cnf(refute_0_2603,plain,
composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(converse(composition(top,X0)))) )],[refute_0_2599,refute_0_2602]) ).
cnf(refute_0_2604,plain,
join(zero,composition(X0,complement(composition(converse(X0),top)))) = join(zero,composition(X0,complement(composition(converse(X0),top)))),
introduced(tautology,[refl,[$fot(join(zero,composition(X0,complement(composition(converse(X0),top)))))]]) ).
cnf(refute_0_2605,plain,
( composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(converse(composition(top,X0))))
| join(zero,composition(X0,complement(composition(converse(X0),top)))) != join(zero,composition(X0,complement(composition(converse(X0),top))))
| join(zero,composition(X0,complement(composition(converse(X0),top)))) = join(zero,composition(X0,complement(converse(composition(top,X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),join(zero,composition(X0,complement(composition(converse(X0),top))))) ),[1,1],$fot(composition(X0,complement(converse(composition(top,X0)))))]]) ).
cnf(refute_0_2606,plain,
( composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(converse(composition(top,X0))))
| join(zero,composition(X0,complement(composition(converse(X0),top)))) = join(zero,composition(X0,complement(converse(composition(top,X0))))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),join(zero,composition(X0,complement(composition(converse(X0),top))))) )],[refute_0_2604,refute_0_2605]) ).
cnf(refute_0_2607,plain,
join(zero,composition(X0,complement(composition(converse(X0),top)))) = join(zero,composition(X0,complement(converse(composition(top,X0))))),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(converse(composition(top,X0))))) )],[refute_0_2603,refute_0_2606]) ).
cnf(refute_0_2608,plain,
( join(zero,composition(X0,complement(composition(converse(X0),top)))) != join(zero,composition(X0,complement(converse(composition(top,X0)))))
| join(zero,composition(X0,complement(composition(converse(X0),top)))) != zero
| join(zero,composition(X0,complement(converse(composition(top,X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),zero) ),[0],$fot(join(zero,composition(X0,complement(converse(composition(top,X0))))))]]) ).
cnf(refute_0_2609,plain,
( join(zero,composition(X0,complement(composition(converse(X0),top)))) != zero
| join(zero,composition(X0,complement(converse(composition(top,X0))))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),join(zero,composition(X0,complement(converse(composition(top,X0)))))) )],[refute_0_2607,refute_0_2608]) ).
cnf(refute_0_2610,plain,
join(zero,composition(X0,complement(converse(composition(top,X0))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),zero) )],[refute_0_2588,refute_0_2609]) ).
cnf(refute_0_2611,plain,
join(zero,composition(X0,complement(converse(composition(top,X0))))) = composition(X0,complement(converse(composition(top,X0)))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(composition(X0,complement(converse(composition(top,X0))))))]]) ).
cnf(refute_0_2612,plain,
( join(zero,composition(X0,complement(converse(composition(top,X0))))) != composition(X0,complement(converse(composition(top,X0))))
| join(zero,composition(X0,complement(converse(composition(top,X0))))) != zero
| composition(X0,complement(converse(composition(top,X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(X0,complement(converse(composition(top,X0))))),zero) ),[0],$fot(composition(X0,complement(converse(composition(top,X0)))))]]) ).
cnf(refute_0_2613,plain,
( join(zero,composition(X0,complement(converse(composition(top,X0))))) != zero
| composition(X0,complement(converse(composition(top,X0)))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(X0,complement(converse(composition(top,X0))))),composition(X0,complement(converse(composition(top,X0))))) )],[refute_0_2611,refute_0_2612]) ).
cnf(refute_0_2614,plain,
composition(X0,complement(converse(composition(top,X0)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(X0,complement(converse(composition(top,X0))))),zero) )],[refute_0_2610,refute_0_2613]) ).
cnf(refute_0_2615,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))) = zero,
inference(subst,[],[refute_0_2614:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2616,plain,
( composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))) != zero
| converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| converse(zero) = meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2617,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| converse(zero) = meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))),zero) )],[refute_0_2615,refute_0_2616]) ).
cnf(refute_0_2618,plain,
converse(zero) = meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2584,refute_0_2617]) ).
cnf(refute_0_2619,plain,
( converse(zero) != meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| converse(zero) != zero
| zero = meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_2620,plain,
( converse(zero) != meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| zero = meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2410,refute_0_2619]) ).
cnf(refute_0_2621,plain,
converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1183:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_231,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2622,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(X_241))) != meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))
| meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) = converse(composition(skolemFOFtoCNF_X0,complement(X_241))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,complement(X_241))))),bind(Y,$fot(meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))))]]) ).
cnf(refute_0_2623,plain,
meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241)))) = converse(composition(skolemFOFtoCNF_X0,complement(X_241))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(X_241))),meet(complement(converse(composition(skolemFOFtoCNF_X0,X_241))),converse(composition(skolemFOFtoCNF_X0,complement(X_241))))) )],[refute_0_1170,refute_0_2622]) ).
cnf(refute_0_2624,plain,
meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2623:[bind(X_241,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2625,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))
| meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2626,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))
| meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2624,refute_0_2625]) ).
cnf(refute_0_2627,plain,
meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) )],[refute_0_2621,refute_0_2626]) ).
cnf(refute_0_2628,plain,
( meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))
| zero != meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| zero = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) ),[1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2629,plain,
( zero != meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| zero = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) )],[refute_0_2627,refute_0_2628]) ).
cnf(refute_0_2630,plain,
( converse(zero) != meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| zero = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(zero,meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2620,refute_0_2629]) ).
cnf(refute_0_2631,plain,
zero = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(zero),meet(complement(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2618,refute_0_2630]) ).
cnf(refute_0_2632,plain,
( zero != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2633,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) )],[refute_0_2631,refute_0_2632]) ).
cnf(refute_0_2634,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) != zero
| composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != join(composition(X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = join(composition(X0,converse(skolemFOFtoCNF_X0)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),join(composition(X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2635,plain,
( composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != join(composition(X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = join(composition(X0,converse(skolemFOFtoCNF_X0)),zero) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero) )],[refute_0_2633,refute_0_2634]) ).
cnf(refute_0_2636,plain,
composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = join(composition(X0,converse(skolemFOFtoCNF_X0)),zero),
inference(resolve,[$cnf( $equal(composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),join(composition(X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_2583,refute_0_2635]) ).
cnf(refute_0_2637,plain,
join(composition(X0,converse(skolemFOFtoCNF_X0)),zero) = composition(X0,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_677:[bind(X_98,$fot(composition(X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2638,plain,
( composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != join(composition(X0,converse(skolemFOFtoCNF_X0)),zero)
| join(composition(X0,converse(skolemFOFtoCNF_X0)),zero) != composition(X0,converse(skolemFOFtoCNF_X0))
| composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = composition(X0,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),composition(X0,converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(composition(X0,converse(skolemFOFtoCNF_X0)),zero))]]) ).
cnf(refute_0_2639,plain,
( composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != join(composition(X0,converse(skolemFOFtoCNF_X0)),zero)
| composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = composition(X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(X0,converse(skolemFOFtoCNF_X0)),zero),composition(X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_2637,refute_0_2638]) ).
cnf(refute_0_2640,plain,
composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = composition(X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(join(X0,complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),join(composition(X0,converse(skolemFOFtoCNF_X0)),zero)) )],[refute_0_2636,refute_0_2639]) ).
cnf(refute_0_2641,plain,
composition(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2640:[bind(X0,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2642,plain,
top = join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_56:[bind(X0,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2643,plain,
( top != join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0)))
| join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2644,plain,
join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0))) = top,
inference(resolve,[$cnf( $equal(top,join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2642,refute_0_2643]) ).
cnf(refute_0_2645,plain,
( composition(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0))) != top
| composition(top,converse(skolemFOFtoCNF_X0)) = composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2646,plain,
( composition(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| composition(top,converse(skolemFOFtoCNF_X0)) = composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0))),top) )],[refute_0_2644,refute_0_2645]) ).
cnf(refute_0_2647,plain,
composition(top,converse(skolemFOFtoCNF_X0)) = composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_2641,refute_0_2646]) ).
cnf(refute_0_2648,plain,
composition(top,converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_1523:[bind(X_11,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2649,plain,
( composition(top,converse(skolemFOFtoCNF_X0)) != composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| composition(top,converse(skolemFOFtoCNF_X0)) != converse(composition(skolemFOFtoCNF_X0,top))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,converse(skolemFOFtoCNF_X0)),composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),[0],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_2650,plain,
( composition(top,converse(skolemFOFtoCNF_X0)) != composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(top,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2648,refute_0_2649]) ).
cnf(refute_0_2651,plain,
composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(top)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2652,plain,
( composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| converse(composition(skolemFOFtoCNF_X0,top)) != composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),[1],$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2653,plain,
( converse(composition(skolemFOFtoCNF_X0,top)) != composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_2651,refute_0_2652]) ).
cnf(refute_0_2654,plain,
( composition(top,converse(skolemFOFtoCNF_X0)) != composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_2650,refute_0_2653]) ).
cnf(refute_0_2655,plain,
converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(top,converse(skolemFOFtoCNF_X0)),composition(composition(top,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_2647,refute_0_2654]) ).
cnf(refute_0_2656,plain,
( converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,top)))),bind(Y,$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2657,plain,
composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_2655,refute_0_2656]) ).
cnf(refute_0_2658,plain,
( composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) != join(composition(X_685,converse(skolemFOFtoCNF_X0)),composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),join(composition(X_685,converse(skolemFOFtoCNF_X0)),composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_2659,plain,
( composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) != join(composition(X_685,converse(skolemFOFtoCNF_X0)),composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2657,refute_0_2658]) ).
cnf(refute_0_2660,plain,
composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),join(composition(X_685,converse(skolemFOFtoCNF_X0)),composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_2582,refute_0_2659]) ).
cnf(refute_0_2661,plain,
join(top,converse(X_685)) = top,
inference(subst,[],[refute_0_595:[bind(X_34,$fot(converse(X_685)))]]) ).
cnf(refute_0_2662,plain,
composition(skolemFOFtoCNF_X0,join(top,converse(X_685))) = composition(skolemFOFtoCNF_X0,join(top,converse(X_685))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))]]) ).
cnf(refute_0_2663,plain,
( composition(skolemFOFtoCNF_X0,join(top,converse(X_685))) != composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))
| join(top,converse(X_685)) != top
| composition(skolemFOFtoCNF_X0,join(top,converse(X_685))) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))),composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2664,plain,
( join(top,converse(X_685)) != top
| composition(skolemFOFtoCNF_X0,join(top,converse(X_685))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))),composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) )],[refute_0_2662,refute_0_2663]) ).
cnf(refute_0_2665,plain,
composition(skolemFOFtoCNF_X0,join(top,converse(X_685))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(join(top,converse(X_685)),top) )],[refute_0_2661,refute_0_2664]) ).
cnf(refute_0_2666,plain,
converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) = converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))),
introduced(tautology,[refl,[$fot(converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))))]]) ).
cnf(refute_0_2667,plain,
( composition(skolemFOFtoCNF_X0,join(top,converse(X_685))) != composition(skolemFOFtoCNF_X0,top)
| converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) != converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))
| converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))),converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_2668,plain,
( composition(skolemFOFtoCNF_X0,join(top,converse(X_685))) != composition(skolemFOFtoCNF_X0,top)
| converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))),converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))) )],[refute_0_2666,refute_0_2667]) ).
cnf(refute_0_2669,plain,
converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_2665,refute_0_2668]) ).
cnf(refute_0_2670,plain,
composition(join(converse(X1),X_59),converse(X0)) = join(composition(converse(X1),converse(X0)),composition(X_59,converse(X0))),
inference(subst,[],[refute_0_154:[bind(X0,$fot(converse(X1))),bind(X1,$fot(X_59)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_0_2671,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_2672,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_93,refute_0_2671]) ).
cnf(refute_0_2673,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| composition(join(converse(X1),X_59),converse(X0)) != join(composition(converse(X1),converse(X0)),composition(X_59,converse(X0)))
| composition(join(converse(X1),X_59),converse(X0)) = join(converse(composition(X0,X1)),composition(X_59,converse(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X1),X_59),converse(X0)),join(composition(converse(X1),converse(X0)),composition(X_59,converse(X0)))) ),[1,0],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_2674,plain,
( composition(join(converse(X1),X_59),converse(X0)) != join(composition(converse(X1),converse(X0)),composition(X_59,converse(X0)))
| composition(join(converse(X1),X_59),converse(X0)) = join(converse(composition(X0,X1)),composition(X_59,converse(X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_2672,refute_0_2673]) ).
cnf(refute_0_2675,plain,
composition(join(converse(X1),X_59),converse(X0)) = join(converse(composition(X0,X1)),composition(X_59,converse(X0))),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),X_59),converse(X0)),join(composition(converse(X1),converse(X0)),composition(X_59,converse(X0)))) )],[refute_0_2670,refute_0_2674]) ).
cnf(refute_0_2676,plain,
converse(composition(X_11,converse(join(converse(X_28),X_29)))) = composition(join(converse(X_28),X_29),converse(X_11)),
inference(subst,[],[refute_0_1175:[bind(X0,$fot(join(converse(X_28),X_29)))]]) ).
cnf(refute_0_2677,plain,
converse(join(converse(X_28),X_29)) = join(X_28,converse(X_29)),
inference(subst,[],[refute_0_812:[bind(X0,$fot(X_28)),bind(X_26,$fot(X_29))]]) ).
cnf(refute_0_2678,plain,
( converse(composition(X_11,converse(join(converse(X_28),X_29)))) != composition(join(converse(X_28),X_29),converse(X_11))
| converse(join(converse(X_28),X_29)) != join(X_28,converse(X_29))
| converse(composition(X_11,join(X_28,converse(X_29)))) = composition(join(converse(X_28),X_29),converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,converse(join(converse(X_28),X_29)))),composition(join(converse(X_28),X_29),converse(X_11))) ),[0,0,1],$fot(join(X_28,converse(X_29)))]]) ).
cnf(refute_0_2679,plain,
( converse(composition(X_11,converse(join(converse(X_28),X_29)))) != composition(join(converse(X_28),X_29),converse(X_11))
| converse(composition(X_11,join(X_28,converse(X_29)))) = composition(join(converse(X_28),X_29),converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_28),X_29)),join(X_28,converse(X_29))) )],[refute_0_2677,refute_0_2678]) ).
cnf(refute_0_2680,plain,
converse(composition(X_11,join(X_28,converse(X_29)))) = composition(join(converse(X_28),X_29),converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,converse(join(converse(X_28),X_29)))),composition(join(converse(X_28),X_29),converse(X_11))) )],[refute_0_2676,refute_0_2679]) ).
cnf(refute_0_2681,plain,
( converse(composition(X_11,join(X_28,converse(X_29)))) != composition(join(converse(X_28),X_29),converse(X_11))
| composition(join(converse(X_28),X_29),converse(X_11)) = converse(composition(X_11,join(X_28,converse(X_29)))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(X_11,join(X_28,converse(X_29)))))),bind(Y,$fot(composition(join(converse(X_28),X_29),converse(X_11))))]]) ).
cnf(refute_0_2682,plain,
composition(join(converse(X_28),X_29),converse(X_11)) = converse(composition(X_11,join(X_28,converse(X_29)))),
inference(resolve,[$cnf( $equal(converse(composition(X_11,join(X_28,converse(X_29)))),composition(join(converse(X_28),X_29),converse(X_11))) )],[refute_0_2680,refute_0_2681]) ).
cnf(refute_0_2683,plain,
composition(join(converse(X1),X_59),converse(X0)) = converse(composition(X0,join(X1,converse(X_59)))),
inference(subst,[],[refute_0_2682:[bind(X_11,$fot(X0)),bind(X_28,$fot(X1)),bind(X_29,$fot(X_59))]]) ).
cnf(refute_0_2684,plain,
( composition(join(converse(X1),X_59),converse(X0)) != converse(composition(X0,join(X1,converse(X_59))))
| composition(join(converse(X1),X_59),converse(X0)) != join(converse(composition(X0,X1)),composition(X_59,converse(X0)))
| converse(composition(X0,join(X1,converse(X_59)))) = join(converse(composition(X0,X1)),composition(X_59,converse(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X1),X_59),converse(X0)),join(converse(composition(X0,X1)),composition(X_59,converse(X0)))) ),[0],$fot(converse(composition(X0,join(X1,converse(X_59)))))]]) ).
cnf(refute_0_2685,plain,
( composition(join(converse(X1),X_59),converse(X0)) != join(converse(composition(X0,X1)),composition(X_59,converse(X0)))
| converse(composition(X0,join(X1,converse(X_59)))) = join(converse(composition(X0,X1)),composition(X_59,converse(X0))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),X_59),converse(X0)),converse(composition(X0,join(X1,converse(X_59))))) )],[refute_0_2683,refute_0_2684]) ).
cnf(refute_0_2686,plain,
converse(join(X_25,composition(X_11,converse(X0)))) = join(converse(X_25),converse(composition(X_11,converse(X0)))),
inference(subst,[],[refute_0_131:[bind(X0,$fot(X_25)),bind(X1,$fot(composition(X_11,converse(X0))))]]) ).
cnf(refute_0_2687,plain,
( converse(composition(X_11,converse(X0))) != composition(X0,converse(X_11))
| converse(join(X_25,composition(X_11,converse(X0)))) != join(converse(X_25),converse(composition(X_11,converse(X0))))
| converse(join(X_25,composition(X_11,converse(X0)))) = join(converse(X_25),composition(X0,converse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_25,composition(X_11,converse(X0)))),join(converse(X_25),converse(composition(X_11,converse(X0))))) ),[1,1],$fot(composition(X0,converse(X_11)))]]) ).
cnf(refute_0_2688,plain,
( converse(join(X_25,composition(X_11,converse(X0)))) != join(converse(X_25),converse(composition(X_11,converse(X0))))
| converse(join(X_25,composition(X_11,converse(X0)))) = join(converse(X_25),composition(X0,converse(X_11))) ),
inference(resolve,[$cnf( $equal(converse(composition(X_11,converse(X0))),composition(X0,converse(X_11))) )],[refute_0_1175,refute_0_2687]) ).
cnf(refute_0_2689,plain,
converse(join(X_25,composition(X_11,converse(X0)))) = join(converse(X_25),composition(X0,converse(X_11))),
inference(resolve,[$cnf( $equal(converse(join(X_25,composition(X_11,converse(X0)))),join(converse(X_25),converse(composition(X_11,converse(X0))))) )],[refute_0_2686,refute_0_2688]) ).
cnf(refute_0_2690,plain,
( converse(join(X_25,composition(X_11,converse(X0)))) != join(converse(X_25),composition(X0,converse(X_11)))
| join(converse(X_25),composition(X0,converse(X_11))) = converse(join(X_25,composition(X_11,converse(X0)))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X_25,composition(X_11,converse(X0)))))),bind(Y,$fot(join(converse(X_25),composition(X0,converse(X_11)))))]]) ).
cnf(refute_0_2691,plain,
join(converse(X_25),composition(X0,converse(X_11))) = converse(join(X_25,composition(X_11,converse(X0)))),
inference(resolve,[$cnf( $equal(converse(join(X_25,composition(X_11,converse(X0)))),join(converse(X_25),composition(X0,converse(X_11)))) )],[refute_0_2689,refute_0_2690]) ).
cnf(refute_0_2692,plain,
join(converse(composition(X0,X1)),composition(X_59,converse(X0))) = converse(join(composition(X0,X1),composition(X0,converse(X_59)))),
inference(subst,[],[refute_0_2691:[bind(X0,$fot(X_59)),bind(X_11,$fot(X0)),bind(X_25,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_2693,plain,
( converse(composition(X0,join(X1,converse(X_59)))) != join(converse(composition(X0,X1)),composition(X_59,converse(X0)))
| join(converse(composition(X0,X1)),composition(X_59,converse(X0))) != converse(join(composition(X0,X1),composition(X0,converse(X_59))))
| converse(composition(X0,join(X1,converse(X_59)))) = converse(join(composition(X0,X1),composition(X0,converse(X_59)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(X0,join(X1,converse(X_59)))),converse(join(composition(X0,X1),composition(X0,converse(X_59))))) ),[0],$fot(join(converse(composition(X0,X1)),composition(X_59,converse(X0))))]]) ).
cnf(refute_0_2694,plain,
( converse(composition(X0,join(X1,converse(X_59)))) != join(converse(composition(X0,X1)),composition(X_59,converse(X0)))
| converse(composition(X0,join(X1,converse(X_59)))) = converse(join(composition(X0,X1),composition(X0,converse(X_59)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(X0,X1)),composition(X_59,converse(X0))),converse(join(composition(X0,X1),composition(X0,converse(X_59))))) )],[refute_0_2692,refute_0_2693]) ).
cnf(refute_0_2695,plain,
( composition(join(converse(X1),X_59),converse(X0)) != join(converse(composition(X0,X1)),composition(X_59,converse(X0)))
| converse(composition(X0,join(X1,converse(X_59)))) = converse(join(composition(X0,X1),composition(X0,converse(X_59)))) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(X1,converse(X_59)))),join(converse(composition(X0,X1)),composition(X_59,converse(X0)))) )],[refute_0_2685,refute_0_2694]) ).
cnf(refute_0_2696,plain,
converse(composition(X0,join(X1,converse(X_59)))) = converse(join(composition(X0,X1),composition(X0,converse(X_59)))),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),X_59),converse(X0)),join(converse(composition(X0,X1)),composition(X_59,converse(X0)))) )],[refute_0_2675,refute_0_2695]) ).
cnf(refute_0_2697,plain,
( converse(composition(X0,join(X1,converse(X_59)))) != converse(join(composition(X0,X1),composition(X0,converse(X_59))))
| converse(join(composition(X0,X1),composition(X0,converse(X_59)))) = converse(composition(X0,join(X1,converse(X_59)))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(X0,join(X1,converse(X_59)))))),bind(Y,$fot(converse(join(composition(X0,X1),composition(X0,converse(X_59))))))]]) ).
cnf(refute_0_2698,plain,
converse(join(composition(X0,X1),composition(X0,converse(X_59)))) = converse(composition(X0,join(X1,converse(X_59)))),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(X1,converse(X_59)))),converse(join(composition(X0,X1),composition(X0,converse(X_59))))) )],[refute_0_2696,refute_0_2697]) ).
cnf(refute_0_2699,plain,
converse(join(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,converse(X_685)))) = converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))),
inference(subst,[],[refute_0_2698:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(top)),bind(X_59,$fot(X_685))]]) ).
cnf(refute_0_2700,plain,
join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0))) = converse(join(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,converse(X_685)))),
inference(subst,[],[refute_0_2691:[bind(X0,$fot(X_685)),bind(X_11,$fot(skolemFOFtoCNF_X0)),bind(X_25,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_2701,plain,
( converse(join(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,converse(X_685)))) != converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))
| join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0))) != converse(join(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,converse(X_685))))
| join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,converse(X_685)))))),bind(Z,$fot(converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))))]]) ).
cnf(refute_0_2702,plain,
( converse(join(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,converse(X_685)))) != converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))
| join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0))),converse(join(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,converse(X_685))))) )],[refute_0_2700,refute_0_2701]) ).
cnf(refute_0_2703,plain,
join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))),
inference(resolve,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,converse(X_685)))),converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))) )],[refute_0_2699,refute_0_2702]) ).
cnf(refute_0_2704,plain,
join(meet(converse(X_11),converse(composition(X_11,top))),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) = join(converse(composition(X_11,top)),X_368),
inference(subst,[],[refute_0_334:[bind(X2,$fot(X_368)),bind(X_238,$fot(converse(composition(X_11,top)))),bind(X_239,$fot(converse(X_11)))]]) ).
cnf(refute_0_2705,plain,
converse(X_11) = meet(converse(X_11),composition(top,converse(X_11))),
inference(subst,[],[refute_0_1785:[bind(X_160,$fot(converse(X_11)))]]) ).
cnf(refute_0_2706,plain,
( composition(top,converse(X_11)) != converse(composition(X_11,top))
| converse(X_11) != meet(converse(X_11),composition(top,converse(X_11)))
| converse(X_11) = meet(converse(X_11),converse(composition(X_11,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(X_11),meet(converse(X_11),composition(top,converse(X_11)))) ),[1,1],$fot(converse(composition(X_11,top)))]]) ).
cnf(refute_0_2707,plain,
( converse(X_11) != meet(converse(X_11),composition(top,converse(X_11)))
| converse(X_11) = meet(converse(X_11),converse(composition(X_11,top))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_11)),converse(composition(X_11,top))) )],[refute_0_1523,refute_0_2706]) ).
cnf(refute_0_2708,plain,
converse(X_11) = meet(converse(X_11),converse(composition(X_11,top))),
inference(resolve,[$cnf( $equal(converse(X_11),meet(converse(X_11),composition(top,converse(X_11)))) )],[refute_0_2705,refute_0_2707]) ).
cnf(refute_0_2709,plain,
( converse(X_11) != meet(converse(X_11),converse(composition(X_11,top)))
| meet(converse(X_11),converse(composition(X_11,top))) = converse(X_11) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(X_11))),bind(Y,$fot(meet(converse(X_11),converse(composition(X_11,top)))))]]) ).
cnf(refute_0_2710,plain,
meet(converse(X_11),converse(composition(X_11,top))) = converse(X_11),
inference(resolve,[$cnf( $equal(converse(X_11),meet(converse(X_11),converse(composition(X_11,top)))) )],[refute_0_2708,refute_0_2709]) ).
cnf(refute_0_2711,plain,
( join(meet(converse(X_11),converse(composition(X_11,top))),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) != join(converse(composition(X_11,top)),X_368)
| meet(converse(X_11),converse(composition(X_11,top))) != converse(X_11)
| join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) = join(converse(composition(X_11,top)),X_368) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(converse(X_11),converse(composition(X_11,top))),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)),join(converse(composition(X_11,top)),X_368)) ),[0,0],$fot(converse(X_11))]]) ).
cnf(refute_0_2712,plain,
( join(meet(converse(X_11),converse(composition(X_11,top))),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) != join(converse(composition(X_11,top)),X_368)
| join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) = join(converse(composition(X_11,top)),X_368) ),
inference(resolve,[$cnf( $equal(meet(converse(X_11),converse(composition(X_11,top))),converse(X_11)) )],[refute_0_2710,refute_0_2711]) ).
cnf(refute_0_2713,plain,
join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) = join(converse(composition(X_11,top)),X_368),
inference(resolve,[$cnf( $equal(join(meet(converse(X_11),converse(composition(X_11,top))),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)),join(converse(composition(X_11,top)),X_368)) )],[refute_0_2704,refute_0_2712]) ).
cnf(refute_0_2714,plain,
meet(converse(composition(X_11,top)),complement(converse(X_11))) = meet(complement(converse(X_11)),converse(composition(X_11,top))),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(complement(converse(X_11)))),bind(X_8,$fot(converse(composition(X_11,top))))]]) ).
cnf(refute_0_2715,plain,
join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368) = join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368),
introduced(tautology,[refl,[$fot(join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368))]]) ).
cnf(refute_0_2716,plain,
( join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368) != join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)
| meet(converse(composition(X_11,top)),complement(converse(X_11))) != meet(complement(converse(X_11)),converse(composition(X_11,top)))
| join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368) = join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) ),[1,0],$fot(meet(complement(converse(X_11)),converse(composition(X_11,top))))]]) ).
cnf(refute_0_2717,plain,
( meet(converse(composition(X_11,top)),complement(converse(X_11))) != meet(complement(converse(X_11)),converse(composition(X_11,top)))
| join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368) = join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368) ),
inference(resolve,[$cnf( $equal(join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) )],[refute_0_2715,refute_0_2716]) ).
cnf(refute_0_2718,plain,
join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368) = join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368),
inference(resolve,[$cnf( $equal(meet(converse(composition(X_11,top)),complement(converse(X_11))),meet(complement(converse(X_11)),converse(composition(X_11,top)))) )],[refute_0_2714,refute_0_2717]) ).
cnf(refute_0_2719,plain,
join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) = join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)),
introduced(tautology,[refl,[$fot(join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)))]]) ).
cnf(refute_0_2720,plain,
( join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) != join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368))
| join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368) != join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)
| join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) = join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)),join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368))) ),[1,1],$fot(join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368))]]) ).
cnf(refute_0_2721,plain,
( join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368) != join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)
| join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) = join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) ),
inference(resolve,[$cnf( $equal(join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)),join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368))) )],[refute_0_2719,refute_0_2720]) ).
cnf(refute_0_2722,plain,
join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) = join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)),
inference(resolve,[$cnf( $equal(join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) )],[refute_0_2718,refute_0_2721]) ).
cnf(refute_0_2723,plain,
( join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) != join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368))
| join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) != join(converse(composition(X_11,top)),X_368)
| join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) = join(converse(composition(X_11,top)),X_368) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)),join(converse(composition(X_11,top)),X_368)) ),[0],$fot(join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)))]]) ).
cnf(refute_0_2724,plain,
( join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)) != join(converse(composition(X_11,top)),X_368)
| join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) = join(converse(composition(X_11,top)),X_368) ),
inference(resolve,[$cnf( $equal(join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)),join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368))) )],[refute_0_2722,refute_0_2723]) ).
cnf(refute_0_2725,plain,
join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) = join(converse(composition(X_11,top)),X_368),
inference(resolve,[$cnf( $equal(join(converse(X_11),join(meet(converse(composition(X_11,top)),complement(converse(X_11))),X_368)),join(converse(composition(X_11,top)),X_368)) )],[refute_0_2713,refute_0_2724]) ).
cnf(refute_0_2726,plain,
composition(X_11,join(one,top)) = composition(X_11,join(one,top)),
introduced(tautology,[refl,[$fot(composition(X_11,join(one,top)))]]) ).
cnf(refute_0_2727,plain,
( composition(X_11,join(one,top)) != composition(X_11,join(one,top))
| join(one,top) != top
| composition(X_11,join(one,top)) = composition(X_11,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_11,join(one,top)),composition(X_11,join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2728,plain,
( join(one,top) != top
| composition(X_11,join(one,top)) = composition(X_11,top) ),
inference(resolve,[$cnf( $equal(composition(X_11,join(one,top)),composition(X_11,join(one,top))) )],[refute_0_2726,refute_0_2727]) ).
cnf(refute_0_2729,plain,
composition(X_11,join(one,top)) = composition(X_11,top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2059,refute_0_2728]) ).
cnf(refute_0_2730,plain,
converse(composition(X_11,join(one,top))) = converse(composition(X_11,join(one,top))),
introduced(tautology,[refl,[$fot(converse(composition(X_11,join(one,top))))]]) ).
cnf(refute_0_2731,plain,
( composition(X_11,join(one,top)) != composition(X_11,top)
| converse(composition(X_11,join(one,top))) != converse(composition(X_11,join(one,top)))
| converse(composition(X_11,join(one,top))) = converse(composition(X_11,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,join(one,top))),converse(composition(X_11,join(one,top)))) ),[1,0],$fot(composition(X_11,top))]]) ).
cnf(refute_0_2732,plain,
( composition(X_11,join(one,top)) != composition(X_11,top)
| converse(composition(X_11,join(one,top))) = converse(composition(X_11,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_11,join(one,top))),converse(composition(X_11,join(one,top)))) )],[refute_0_2730,refute_0_2731]) ).
cnf(refute_0_2733,plain,
converse(composition(X_11,join(one,top))) = converse(composition(X_11,top)),
inference(resolve,[$cnf( $equal(composition(X_11,join(one,top)),composition(X_11,top)) )],[refute_0_2729,refute_0_2732]) ).
cnf(refute_0_2734,plain,
composition(join(converse(X1),one),converse(X0)) = join(converse(X0),composition(converse(X1),converse(X0))),
inference(subst,[],[refute_0_165:[bind(X_58,$fot(converse(X1))),bind(X_60,$fot(converse(X0)))]]) ).
cnf(refute_0_2735,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| composition(join(converse(X1),one),converse(X0)) != join(converse(X0),composition(converse(X1),converse(X0)))
| composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),composition(converse(X1),converse(X0)))) ),[1,1],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_2736,plain,
( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),composition(converse(X1),converse(X0)))
| composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_2672,refute_0_2735]) ).
cnf(refute_0_2737,plain,
composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),composition(converse(X1),converse(X0)))) )],[refute_0_2734,refute_0_2736]) ).
cnf(refute_0_2738,plain,
join(converse(one),X1) = join(converse(one),X1),
introduced(tautology,[refl,[$fot(join(converse(one),X1))]]) ).
cnf(refute_0_2739,plain,
( converse(one) != one
| join(converse(one),X1) != join(converse(one),X1)
| join(converse(one),X1) = join(one,X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X1),join(converse(one),X1)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2740,plain,
( converse(one) != one
| join(converse(one),X1) = join(one,X1) ),
inference(resolve,[$cnf( $equal(join(converse(one),X1),join(converse(one),X1)) )],[refute_0_2738,refute_0_2739]) ).
cnf(refute_0_2741,plain,
join(converse(one),X1) = join(one,X1),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_117,refute_0_2740]) ).
cnf(refute_0_2742,plain,
composition(X0,join(converse(one),X1)) = composition(X0,join(converse(one),X1)),
introduced(tautology,[refl,[$fot(composition(X0,join(converse(one),X1)))]]) ).
cnf(refute_0_2743,plain,
( composition(X0,join(converse(one),X1)) != composition(X0,join(converse(one),X1))
| join(converse(one),X1) != join(one,X1)
| composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(converse(one),X1))) ),[1,1],$fot(join(one,X1))]]) ).
cnf(refute_0_2744,plain,
( join(converse(one),X1) != join(one,X1)
| composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)) ),
inference(resolve,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(converse(one),X1))) )],[refute_0_2742,refute_0_2743]) ).
cnf(refute_0_2745,plain,
composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)),
inference(resolve,[$cnf( $equal(join(converse(one),X1),join(one,X1)) )],[refute_0_2741,refute_0_2744]) ).
cnf(refute_0_2746,plain,
converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(converse(one),X1))),
introduced(tautology,[refl,[$fot(converse(composition(X0,join(converse(one),X1))))]]) ).
cnf(refute_0_2747,plain,
( composition(X0,join(converse(one),X1)) != composition(X0,join(one,X1))
| converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(converse(one),X1)))
| converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(converse(one),X1)))) ),[1,0],$fot(composition(X0,join(one,X1)))]]) ).
cnf(refute_0_2748,plain,
( composition(X0,join(converse(one),X1)) != composition(X0,join(one,X1))
| converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(converse(one),X1)))) )],[refute_0_2746,refute_0_2747]) ).
cnf(refute_0_2749,plain,
converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))),
inference(resolve,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(one,X1))) )],[refute_0_2745,refute_0_2748]) ).
cnf(refute_0_2750,plain,
converse(composition(X0,join(converse(X_28),X_29))) = composition(converse(join(converse(X_28),X_29)),converse(X0)),
inference(subst,[],[refute_0_93:[bind(X1,$fot(join(converse(X_28),X_29)))]]) ).
cnf(refute_0_2751,plain,
( converse(composition(X0,join(converse(X_28),X_29))) != composition(converse(join(converse(X_28),X_29)),converse(X0))
| converse(join(converse(X_28),X_29)) != join(X_28,converse(X_29))
| converse(composition(X0,join(converse(X_28),X_29))) = composition(join(X_28,converse(X_29)),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,join(converse(X_28),X_29))),composition(converse(join(converse(X_28),X_29)),converse(X0))) ),[1,0],$fot(join(X_28,converse(X_29)))]]) ).
cnf(refute_0_2752,plain,
( converse(composition(X0,join(converse(X_28),X_29))) != composition(converse(join(converse(X_28),X_29)),converse(X0))
| converse(composition(X0,join(converse(X_28),X_29))) = composition(join(X_28,converse(X_29)),converse(X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_28),X_29)),join(X_28,converse(X_29))) )],[refute_0_2677,refute_0_2751]) ).
cnf(refute_0_2753,plain,
converse(composition(X0,join(converse(X_28),X_29))) = composition(join(X_28,converse(X_29)),converse(X0)),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(X_28),X_29))),composition(converse(join(converse(X_28),X_29)),converse(X0))) )],[refute_0_2750,refute_0_2752]) ).
cnf(refute_0_2754,plain,
( converse(composition(X0,join(converse(X_28),X_29))) != composition(join(X_28,converse(X_29)),converse(X0))
| composition(join(X_28,converse(X_29)),converse(X0)) = converse(composition(X0,join(converse(X_28),X_29))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(X0,join(converse(X_28),X_29))))),bind(Y,$fot(composition(join(X_28,converse(X_29)),converse(X0))))]]) ).
cnf(refute_0_2755,plain,
composition(join(X_28,converse(X_29)),converse(X0)) = converse(composition(X0,join(converse(X_28),X_29))),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(X_28),X_29))),composition(join(X_28,converse(X_29)),converse(X0))) )],[refute_0_2753,refute_0_2754]) ).
cnf(refute_0_2756,plain,
composition(join(one,converse(X1)),converse(X0)) = converse(composition(X0,join(converse(one),X1))),
inference(subst,[],[refute_0_2755:[bind(X_28,$fot(one)),bind(X_29,$fot(X1))]]) ).
cnf(refute_0_2757,plain,
composition(join(converse(X1),one),converse(X0)) = composition(join(one,converse(X1)),converse(X0)),
inference(subst,[],[refute_0_180:[bind(X_61,$fot(converse(X1))),bind(X_62,$fot(converse(X0)))]]) ).
cnf(refute_0_2758,plain,
( composition(join(converse(X1),one),converse(X0)) != composition(join(one,converse(X1)),converse(X0))
| composition(join(one,converse(X1)),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(join(converse(X1),one),converse(X0)))),bind(Y,$fot(composition(join(one,converse(X1)),converse(X0)))),bind(Z,$fot(converse(composition(X0,join(converse(one),X1)))))]]) ).
cnf(refute_0_2759,plain,
( composition(join(one,converse(X1)),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),composition(join(one,converse(X1)),converse(X0))) )],[refute_0_2757,refute_0_2758]) ).
cnf(refute_0_2760,plain,
composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X1)),converse(X0)),converse(composition(X0,join(converse(one),X1)))) )],[refute_0_2756,refute_0_2759]) ).
cnf(refute_0_2761,plain,
( composition(join(converse(X1),one),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
| converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(one,X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(join(converse(X1),one),converse(X0)))),bind(Y,$fot(converse(composition(X0,join(converse(one),X1))))),bind(Z,$fot(converse(composition(X0,join(one,X1)))))]]) ).
cnf(refute_0_2762,plain,
( converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(one,X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),converse(composition(X0,join(converse(one),X1)))) )],[refute_0_2760,refute_0_2761]) ).
cnf(refute_0_2763,plain,
composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(one,X1)))) )],[refute_0_2749,refute_0_2762]) ).
cnf(refute_0_2764,plain,
( composition(join(converse(X1),one),converse(X0)) != converse(composition(X0,join(one,X1)))
| composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = join(converse(X0),converse(composition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),converse(composition(X0,X1)))) ),[0],$fot(converse(composition(X0,join(one,X1))))]]) ).
cnf(refute_0_2765,plain,
( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = join(converse(X0),converse(composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),converse(composition(X0,join(one,X1)))) )],[refute_0_2763,refute_0_2764]) ).
cnf(refute_0_2766,plain,
join(converse(X0),converse(composition(X0,X1))) = converse(join(X0,composition(X0,X1))),
inference(subst,[],[refute_0_802:[bind(X1,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_2767,plain,
( converse(composition(X0,join(one,X1))) != join(converse(X0),converse(composition(X0,X1)))
| join(converse(X0),converse(composition(X0,X1))) != converse(join(X0,composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(X0,join(one,X1))),converse(join(X0,composition(X0,X1)))) ),[0],$fot(join(converse(X0),converse(composition(X0,X1))))]]) ).
cnf(refute_0_2768,plain,
( converse(composition(X0,join(one,X1))) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(composition(X0,X1))),converse(join(X0,composition(X0,X1)))) )],[refute_0_2766,refute_0_2767]) ).
cnf(refute_0_2769,plain,
( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(one,X1))),join(converse(X0),converse(composition(X0,X1)))) )],[refute_0_2765,refute_0_2768]) ).
cnf(refute_0_2770,plain,
converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),converse(composition(X0,X1)))) )],[refute_0_2737,refute_0_2769]) ).
cnf(refute_0_2771,plain,
( converse(composition(X0,join(one,X1))) != converse(join(X0,composition(X0,X1)))
| converse(join(X0,composition(X0,X1))) = converse(composition(X0,join(one,X1))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(X0,join(one,X1))))),bind(Y,$fot(converse(join(X0,composition(X0,X1)))))]]) ).
cnf(refute_0_2772,plain,
converse(join(X0,composition(X0,X1))) = converse(composition(X0,join(one,X1))),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(one,X1))),converse(join(X0,composition(X0,X1)))) )],[refute_0_2770,refute_0_2771]) ).
cnf(refute_0_2773,plain,
converse(join(X_11,composition(X_11,top))) = converse(composition(X_11,join(one,top))),
inference(subst,[],[refute_0_2772:[bind(X0,$fot(X_11)),bind(X1,$fot(top))]]) ).
cnf(refute_0_2774,plain,
( converse(composition(X_11,join(one,top))) != converse(composition(X_11,top))
| converse(join(X_11,composition(X_11,top))) != converse(composition(X_11,join(one,top)))
| converse(join(X_11,composition(X_11,top))) = converse(composition(X_11,top)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(X_11,composition(X_11,top))))),bind(Y,$fot(converse(composition(X_11,join(one,top))))),bind(Z,$fot(converse(composition(X_11,top))))]]) ).
cnf(refute_0_2775,plain,
( converse(composition(X_11,join(one,top))) != converse(composition(X_11,top))
| converse(join(X_11,composition(X_11,top))) = converse(composition(X_11,top)) ),
inference(resolve,[$cnf( $equal(converse(join(X_11,composition(X_11,top))),converse(composition(X_11,join(one,top)))) )],[refute_0_2773,refute_0_2774]) ).
cnf(refute_0_2776,plain,
converse(join(X_11,composition(X_11,top))) = converse(composition(X_11,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,join(one,top))),converse(composition(X_11,top))) )],[refute_0_2733,refute_0_2775]) ).
cnf(refute_0_2777,plain,
join(X_368,converse(join(X_11,composition(X_11,top)))) = join(X_368,converse(join(X_11,composition(X_11,top)))),
introduced(tautology,[refl,[$fot(join(X_368,converse(join(X_11,composition(X_11,top)))))]]) ).
cnf(refute_0_2778,plain,
( converse(join(X_11,composition(X_11,top))) != converse(composition(X_11,top))
| join(X_368,converse(join(X_11,composition(X_11,top)))) != join(X_368,converse(join(X_11,composition(X_11,top))))
| join(X_368,converse(join(X_11,composition(X_11,top)))) = join(X_368,converse(composition(X_11,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_368,converse(join(X_11,composition(X_11,top)))),join(X_368,converse(join(X_11,composition(X_11,top))))) ),[1,1],$fot(converse(composition(X_11,top)))]]) ).
cnf(refute_0_2779,plain,
( converse(join(X_11,composition(X_11,top))) != converse(composition(X_11,top))
| join(X_368,converse(join(X_11,composition(X_11,top)))) = join(X_368,converse(composition(X_11,top))) ),
inference(resolve,[$cnf( $equal(join(X_368,converse(join(X_11,composition(X_11,top)))),join(X_368,converse(join(X_11,composition(X_11,top))))) )],[refute_0_2777,refute_0_2778]) ).
cnf(refute_0_2780,plain,
join(X_368,converse(join(X_11,composition(X_11,top)))) = join(X_368,converse(composition(X_11,top))),
inference(resolve,[$cnf( $equal(converse(join(X_11,composition(X_11,top))),converse(composition(X_11,top))) )],[refute_0_2776,refute_0_2779]) ).
cnf(refute_0_2781,plain,
converse(join(converse(join(converse(X_28),X_29)),X_26)) = join(join(converse(X_28),X_29),converse(X_26)),
inference(subst,[],[refute_0_812:[bind(X0,$fot(join(converse(X_28),X_29)))]]) ).
cnf(refute_0_2782,plain,
( converse(join(converse(X_28),X_29)) != join(X_28,converse(X_29))
| converse(join(converse(join(converse(X_28),X_29)),X_26)) != join(join(converse(X_28),X_29),converse(X_26))
| converse(join(join(X_28,converse(X_29)),X_26)) = join(join(converse(X_28),X_29),converse(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(converse(X_28),X_29)),X_26)),join(join(converse(X_28),X_29),converse(X_26))) ),[0,0,0],$fot(join(X_28,converse(X_29)))]]) ).
cnf(refute_0_2783,plain,
( converse(join(converse(join(converse(X_28),X_29)),X_26)) != join(join(converse(X_28),X_29),converse(X_26))
| converse(join(join(X_28,converse(X_29)),X_26)) = join(join(converse(X_28),X_29),converse(X_26)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_28),X_29)),join(X_28,converse(X_29))) )],[refute_0_2677,refute_0_2782]) ).
cnf(refute_0_2784,plain,
converse(join(join(X_28,converse(X_29)),X_26)) = join(join(converse(X_28),X_29),converse(X_26)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(converse(X_28),X_29)),X_26)),join(join(converse(X_28),X_29),converse(X_26))) )],[refute_0_2781,refute_0_2783]) ).
cnf(refute_0_2785,plain,
join(join(X_28,converse(X_29)),X_26) = join(X_28,join(converse(X_29),X_26)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(X_28)),bind(X1,$fot(converse(X_29))),bind(X2,$fot(X_26))]]) ).
cnf(refute_0_2786,plain,
converse(join(join(X_28,converse(X_29)),X_26)) = converse(join(join(X_28,converse(X_29)),X_26)),
introduced(tautology,[refl,[$fot(converse(join(join(X_28,converse(X_29)),X_26)))]]) ).
cnf(refute_0_2787,plain,
( converse(join(join(X_28,converse(X_29)),X_26)) != converse(join(join(X_28,converse(X_29)),X_26))
| join(join(X_28,converse(X_29)),X_26) != join(X_28,join(converse(X_29),X_26))
| converse(join(join(X_28,converse(X_29)),X_26)) = converse(join(X_28,join(converse(X_29),X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_28,converse(X_29)),X_26)),converse(join(join(X_28,converse(X_29)),X_26))) ),[1,0],$fot(join(X_28,join(converse(X_29),X_26)))]]) ).
cnf(refute_0_2788,plain,
( join(join(X_28,converse(X_29)),X_26) != join(X_28,join(converse(X_29),X_26))
| converse(join(join(X_28,converse(X_29)),X_26)) = converse(join(X_28,join(converse(X_29),X_26))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_28,converse(X_29)),X_26)),converse(join(join(X_28,converse(X_29)),X_26))) )],[refute_0_2786,refute_0_2787]) ).
cnf(refute_0_2789,plain,
converse(join(join(X_28,converse(X_29)),X_26)) = converse(join(X_28,join(converse(X_29),X_26))),
inference(resolve,[$cnf( $equal(join(join(X_28,converse(X_29)),X_26),join(X_28,join(converse(X_29),X_26))) )],[refute_0_2785,refute_0_2788]) ).
cnf(refute_0_2790,plain,
( converse(join(join(X_28,converse(X_29)),X_26)) != converse(join(X_28,join(converse(X_29),X_26)))
| converse(join(join(X_28,converse(X_29)),X_26)) != join(join(converse(X_28),X_29),converse(X_26))
| converse(join(X_28,join(converse(X_29),X_26))) = join(join(converse(X_28),X_29),converse(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_28,converse(X_29)),X_26)),join(join(converse(X_28),X_29),converse(X_26))) ),[0],$fot(converse(join(X_28,join(converse(X_29),X_26))))]]) ).
cnf(refute_0_2791,plain,
( converse(join(join(X_28,converse(X_29)),X_26)) != join(join(converse(X_28),X_29),converse(X_26))
| converse(join(X_28,join(converse(X_29),X_26))) = join(join(converse(X_28),X_29),converse(X_26)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_28,converse(X_29)),X_26)),converse(join(X_28,join(converse(X_29),X_26)))) )],[refute_0_2789,refute_0_2790]) ).
cnf(refute_0_2792,plain,
join(join(converse(X_28),X_29),converse(X_26)) = join(converse(X_28),join(X_29,converse(X_26))),
inference(subst,[],[refute_0_395:[bind(X0,$fot(converse(X_28))),bind(X1,$fot(X_29)),bind(X2,$fot(converse(X_26)))]]) ).
cnf(refute_0_2793,plain,
( converse(join(X_28,join(converse(X_29),X_26))) != join(join(converse(X_28),X_29),converse(X_26))
| join(join(converse(X_28),X_29),converse(X_26)) != join(converse(X_28),join(X_29,converse(X_26)))
| converse(join(X_28,join(converse(X_29),X_26))) = join(converse(X_28),join(X_29,converse(X_26))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_28,join(converse(X_29),X_26))),join(converse(X_28),join(X_29,converse(X_26)))) ),[0],$fot(join(join(converse(X_28),X_29),converse(X_26)))]]) ).
cnf(refute_0_2794,plain,
( converse(join(X_28,join(converse(X_29),X_26))) != join(join(converse(X_28),X_29),converse(X_26))
| converse(join(X_28,join(converse(X_29),X_26))) = join(converse(X_28),join(X_29,converse(X_26))) ),
inference(resolve,[$cnf( $equal(join(join(converse(X_28),X_29),converse(X_26)),join(converse(X_28),join(X_29,converse(X_26)))) )],[refute_0_2792,refute_0_2793]) ).
cnf(refute_0_2795,plain,
( converse(join(join(X_28,converse(X_29)),X_26)) != join(join(converse(X_28),X_29),converse(X_26))
| converse(join(X_28,join(converse(X_29),X_26))) = join(converse(X_28),join(X_29,converse(X_26))) ),
inference(resolve,[$cnf( $equal(converse(join(X_28,join(converse(X_29),X_26))),join(join(converse(X_28),X_29),converse(X_26))) )],[refute_0_2791,refute_0_2794]) ).
cnf(refute_0_2796,plain,
converse(join(X_28,join(converse(X_29),X_26))) = join(converse(X_28),join(X_29,converse(X_26))),
inference(resolve,[$cnf( $equal(converse(join(join(X_28,converse(X_29)),X_26)),join(join(converse(X_28),X_29),converse(X_26))) )],[refute_0_2784,refute_0_2795]) ).
cnf(refute_0_2797,plain,
converse(join(converse(X0),join(X_251,X_252))) = join(X0,converse(join(X_251,X_252))),
inference(subst,[],[refute_0_812:[bind(X_26,$fot(join(X_251,X_252)))]]) ).
cnf(refute_0_2798,plain,
join(converse(X0),join(X_251,X_252)) = join(X_251,join(converse(X0),X_252)),
inference(subst,[],[refute_0_399:[bind(X_34,$fot(converse(X0))),bind(X_35,$fot(X_251)),bind(X_36,$fot(X_252))]]) ).
cnf(refute_0_2799,plain,
( converse(join(converse(X0),join(X_251,X_252))) != join(X0,converse(join(X_251,X_252)))
| join(converse(X0),join(X_251,X_252)) != join(X_251,join(converse(X0),X_252))
| converse(join(X_251,join(converse(X0),X_252))) = join(X0,converse(join(X_251,X_252))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_251,X_252))),join(X0,converse(join(X_251,X_252)))) ),[0,0],$fot(join(X_251,join(converse(X0),X_252)))]]) ).
cnf(refute_0_2800,plain,
( converse(join(converse(X0),join(X_251,X_252))) != join(X0,converse(join(X_251,X_252)))
| converse(join(X_251,join(converse(X0),X_252))) = join(X0,converse(join(X_251,X_252))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(X_251,X_252)),join(X_251,join(converse(X0),X_252))) )],[refute_0_2798,refute_0_2799]) ).
cnf(refute_0_2801,plain,
converse(join(X_251,join(converse(X0),X_252))) = join(X0,converse(join(X_251,X_252))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_251,X_252))),join(X0,converse(join(X_251,X_252)))) )],[refute_0_2797,refute_0_2800]) ).
cnf(refute_0_2802,plain,
converse(join(X_28,join(converse(X_29),X_26))) = join(X_29,converse(join(X_28,X_26))),
inference(subst,[],[refute_0_2801:[bind(X0,$fot(X_29)),bind(X_251,$fot(X_28)),bind(X_252,$fot(X_26))]]) ).
cnf(refute_0_2803,plain,
( converse(join(X_28,join(converse(X_29),X_26))) != join(X_29,converse(join(X_28,X_26)))
| converse(join(X_28,join(converse(X_29),X_26))) != join(converse(X_28),join(X_29,converse(X_26)))
| join(X_29,converse(join(X_28,X_26))) = join(converse(X_28),join(X_29,converse(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_28,join(converse(X_29),X_26))),join(converse(X_28),join(X_29,converse(X_26)))) ),[0],$fot(join(X_29,converse(join(X_28,X_26))))]]) ).
cnf(refute_0_2804,plain,
( converse(join(X_28,join(converse(X_29),X_26))) != join(converse(X_28),join(X_29,converse(X_26)))
| join(X_29,converse(join(X_28,X_26))) = join(converse(X_28),join(X_29,converse(X_26))) ),
inference(resolve,[$cnf( $equal(converse(join(X_28,join(converse(X_29),X_26))),join(X_29,converse(join(X_28,X_26)))) )],[refute_0_2802,refute_0_2803]) ).
cnf(refute_0_2805,plain,
join(X_29,converse(join(X_28,X_26))) = join(converse(X_28),join(X_29,converse(X_26))),
inference(resolve,[$cnf( $equal(converse(join(X_28,join(converse(X_29),X_26))),join(converse(X_28),join(X_29,converse(X_26)))) )],[refute_0_2796,refute_0_2804]) ).
cnf(refute_0_2806,plain,
( join(X_29,converse(join(X_28,X_26))) != join(converse(X_28),join(X_29,converse(X_26)))
| join(converse(X_28),join(X_29,converse(X_26))) = join(X_29,converse(join(X_28,X_26))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_29,converse(join(X_28,X_26))))),bind(Y,$fot(join(converse(X_28),join(X_29,converse(X_26)))))]]) ).
cnf(refute_0_2807,plain,
join(converse(X_28),join(X_29,converse(X_26))) = join(X_29,converse(join(X_28,X_26))),
inference(resolve,[$cnf( $equal(join(X_29,converse(join(X_28,X_26))),join(converse(X_28),join(X_29,converse(X_26)))) )],[refute_0_2805,refute_0_2806]) ).
cnf(refute_0_2808,plain,
join(converse(X_11),join(X_368,converse(composition(X_11,top)))) = join(X_368,converse(join(X_11,composition(X_11,top)))),
inference(subst,[],[refute_0_2807:[bind(X_26,$fot(composition(X_11,top))),bind(X_28,$fot(X_11)),bind(X_29,$fot(X_368))]]) ).
cnf(refute_0_2809,plain,
join(converse(composition(X_11,top)),join(converse(X_11),X_368)) = join(converse(X_11),join(X_368,converse(composition(X_11,top)))),
inference(subst,[],[refute_0_1881:[bind(X_250,$fot(converse(X_11))),bind(X_251,$fot(converse(composition(X_11,top)))),bind(X_252,$fot(X_368))]]) ).
cnf(refute_0_2810,plain,
( join(converse(X_11),join(X_368,converse(composition(X_11,top)))) != join(X_368,converse(join(X_11,composition(X_11,top))))
| join(converse(composition(X_11,top)),join(converse(X_11),X_368)) != join(converse(X_11),join(X_368,converse(composition(X_11,top))))
| join(converse(composition(X_11,top)),join(converse(X_11),X_368)) = join(X_368,converse(join(X_11,composition(X_11,top)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(converse(composition(X_11,top)),join(converse(X_11),X_368)))),bind(Y,$fot(join(converse(X_11),join(X_368,converse(composition(X_11,top)))))),bind(Z,$fot(join(X_368,converse(join(X_11,composition(X_11,top))))))]]) ).
cnf(refute_0_2811,plain,
( join(converse(X_11),join(X_368,converse(composition(X_11,top)))) != join(X_368,converse(join(X_11,composition(X_11,top))))
| join(converse(composition(X_11,top)),join(converse(X_11),X_368)) = join(X_368,converse(join(X_11,composition(X_11,top)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(X_11,top)),join(converse(X_11),X_368)),join(converse(X_11),join(X_368,converse(composition(X_11,top))))) )],[refute_0_2809,refute_0_2810]) ).
cnf(refute_0_2812,plain,
join(converse(composition(X_11,top)),join(converse(X_11),X_368)) = join(X_368,converse(join(X_11,composition(X_11,top)))),
inference(resolve,[$cnf( $equal(join(converse(X_11),join(X_368,converse(composition(X_11,top)))),join(X_368,converse(join(X_11,composition(X_11,top))))) )],[refute_0_2808,refute_0_2811]) ).
cnf(refute_0_2813,plain,
join(meet(X_370,join(X_177,meet(complement(X_177),X_370))),join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) = join(join(X_177,meet(complement(X_177),X_370)),X_368),
inference(subst,[],[refute_0_334:[bind(X2,$fot(X_368)),bind(X_238,$fot(join(X_177,meet(complement(X_177),X_370)))),bind(X_239,$fot(X_370))]]) ).
cnf(refute_0_2814,plain,
X_176 = meet(X_176,join(complement(complement(X1)),meet(X_176,complement(X1)))),
inference(subst,[],[refute_0_1502:[bind(X_8,$fot(complement(X1))),bind(X_96,$fot(X_176))]]) ).
cnf(refute_0_2815,plain,
( X_176 != meet(X_176,join(complement(complement(X1)),meet(X_176,complement(X1))))
| complement(complement(X1)) != X1
| X_176 = meet(X_176,join(X1,meet(X_176,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_176,meet(X_176,join(complement(complement(X1)),meet(X_176,complement(X1))))) ),[1,1,0],$fot(X1)]]) ).
cnf(refute_0_2816,plain,
( X_176 != meet(X_176,join(complement(complement(X1)),meet(X_176,complement(X1))))
| X_176 = meet(X_176,join(X1,meet(X_176,complement(X1)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_2815]) ).
cnf(refute_0_2817,plain,
X_176 = meet(X_176,join(X1,meet(X_176,complement(X1)))),
inference(resolve,[$cnf( $equal(X_176,meet(X_176,join(complement(complement(X1)),meet(X_176,complement(X1))))) )],[refute_0_2814,refute_0_2816]) ).
cnf(refute_0_2818,plain,
X_178 = meet(X_178,join(X_177,meet(X_178,complement(X_177)))),
inference(subst,[],[refute_0_2817:[bind(X1,$fot(X_177)),bind(X_176,$fot(X_178))]]) ).
cnf(refute_0_2819,plain,
meet(complement(X_177),X_178) = meet(X_178,complement(X_177)),
inference(subst,[],[refute_0_40:[bind(X_7,$fot(complement(X_177))),bind(X_8,$fot(X_178))]]) ).
cnf(refute_0_2820,plain,
( meet(complement(X_177),X_178) != meet(X_178,complement(X_177))
| meet(X_178,complement(X_177)) = meet(complement(X_177),X_178) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(complement(X_177),X_178))),bind(Y,$fot(meet(X_178,complement(X_177))))]]) ).
cnf(refute_0_2821,plain,
meet(X_178,complement(X_177)) = meet(complement(X_177),X_178),
inference(resolve,[$cnf( $equal(meet(complement(X_177),X_178),meet(X_178,complement(X_177))) )],[refute_0_2819,refute_0_2820]) ).
cnf(refute_0_2822,plain,
( X_178 != meet(X_178,join(X_177,meet(X_178,complement(X_177))))
| meet(X_178,complement(X_177)) != meet(complement(X_177),X_178)
| X_178 = meet(X_178,join(X_177,meet(complement(X_177),X_178))) ),
introduced(tautology,[equality,[$cnf( $equal(X_178,meet(X_178,join(X_177,meet(X_178,complement(X_177))))) ),[1,1,1],$fot(meet(complement(X_177),X_178))]]) ).
cnf(refute_0_2823,plain,
( X_178 != meet(X_178,join(X_177,meet(X_178,complement(X_177))))
| X_178 = meet(X_178,join(X_177,meet(complement(X_177),X_178))) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(X_177)),meet(complement(X_177),X_178)) )],[refute_0_2821,refute_0_2822]) ).
cnf(refute_0_2824,plain,
X_178 = meet(X_178,join(X_177,meet(complement(X_177),X_178))),
inference(resolve,[$cnf( $equal(X_178,meet(X_178,join(X_177,meet(X_178,complement(X_177))))) )],[refute_0_2818,refute_0_2823]) ).
cnf(refute_0_2825,plain,
X_370 = meet(X_370,join(X_177,meet(complement(X_177),X_370))),
inference(subst,[],[refute_0_2824:[bind(X_178,$fot(X_370))]]) ).
cnf(refute_0_2826,plain,
( X_370 != meet(X_370,join(X_177,meet(complement(X_177),X_370)))
| meet(X_370,join(X_177,meet(complement(X_177),X_370))) = X_370 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_370)),bind(Y,$fot(meet(X_370,join(X_177,meet(complement(X_177),X_370)))))]]) ).
cnf(refute_0_2827,plain,
meet(X_370,join(X_177,meet(complement(X_177),X_370))) = X_370,
inference(resolve,[$cnf( $equal(X_370,meet(X_370,join(X_177,meet(complement(X_177),X_370)))) )],[refute_0_2825,refute_0_2826]) ).
cnf(refute_0_2828,plain,
( join(meet(X_370,join(X_177,meet(complement(X_177),X_370))),join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) != join(join(X_177,meet(complement(X_177),X_370)),X_368)
| meet(X_370,join(X_177,meet(complement(X_177),X_370))) != X_370
| join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) = join(join(X_177,meet(complement(X_177),X_370)),X_368) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_370,join(X_177,meet(complement(X_177),X_370))),join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)),join(join(X_177,meet(complement(X_177),X_370)),X_368)) ),[0,0],$fot(X_370)]]) ).
cnf(refute_0_2829,plain,
( join(meet(X_370,join(X_177,meet(complement(X_177),X_370))),join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) != join(join(X_177,meet(complement(X_177),X_370)),X_368)
| join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) = join(join(X_177,meet(complement(X_177),X_370)),X_368) ),
inference(resolve,[$cnf( $equal(meet(X_370,join(X_177,meet(complement(X_177),X_370))),X_370) )],[refute_0_2827,refute_0_2828]) ).
cnf(refute_0_2830,plain,
join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) = join(join(X_177,meet(complement(X_177),X_370)),X_368),
inference(resolve,[$cnf( $equal(join(meet(X_370,join(X_177,meet(complement(X_177),X_370))),join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)),join(join(X_177,meet(complement(X_177),X_370)),X_368)) )],[refute_0_2813,refute_0_2829]) ).
cnf(refute_0_2831,plain,
meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)) = meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(complement(X_370))),bind(X_8,$fot(join(X_177,meet(complement(X_177),X_370))))]]) ).
cnf(refute_0_2832,plain,
join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368) = join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368),
introduced(tautology,[refl,[$fot(join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368))]]) ).
cnf(refute_0_2833,plain,
( join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368) != join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)
| meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)) != meet(complement(X_370),join(X_177,meet(complement(X_177),X_370)))
| join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368) = join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368),join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) ),[1,0],$fot(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))))]]) ).
cnf(refute_0_2834,plain,
( meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)) != meet(complement(X_370),join(X_177,meet(complement(X_177),X_370)))
| join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368) = join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368),join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) )],[refute_0_2832,refute_0_2833]) ).
cnf(refute_0_2835,plain,
join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368) = join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368),
inference(resolve,[$cnf( $equal(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),meet(complement(X_370),join(X_177,meet(complement(X_177),X_370)))) )],[refute_0_2831,refute_0_2834]) ).
cnf(refute_0_2836,plain,
join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) = join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)),
introduced(tautology,[refl,[$fot(join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)))]]) ).
cnf(refute_0_2837,plain,
( join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) != join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368))
| join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368) != join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)
| join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) = join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)),join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368))) ),[1,1],$fot(join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368))]]) ).
cnf(refute_0_2838,plain,
( join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368) != join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)
| join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) = join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) ),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)),join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368))) )],[refute_0_2836,refute_0_2837]) ).
cnf(refute_0_2839,plain,
join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) = join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)),
inference(resolve,[$cnf( $equal(join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368),join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) )],[refute_0_2835,refute_0_2838]) ).
cnf(refute_0_2840,plain,
( join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) != join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368))
| join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) != join(join(X_177,meet(complement(X_177),X_370)),X_368)
| join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(join(X_177,meet(complement(X_177),X_370)),X_368) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)),join(join(X_177,meet(complement(X_177),X_370)),X_368)) ),[0],$fot(join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)))]]) ).
cnf(refute_0_2841,plain,
( join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) != join(join(X_177,meet(complement(X_177),X_370)),X_368)
| join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(join(X_177,meet(complement(X_177),X_370)),X_368) ),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)),join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368))) )],[refute_0_2839,refute_0_2840]) ).
cnf(refute_0_2842,plain,
join(join(X_177,meet(complement(X_177),X_370)),X_368) = join(X_177,join(meet(complement(X_177),X_370),X_368)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(X_177)),bind(X1,$fot(meet(complement(X_177),X_370))),bind(X2,$fot(X_368))]]) ).
cnf(refute_0_2843,plain,
( join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) != join(join(X_177,meet(complement(X_177),X_370)),X_368)
| join(join(X_177,meet(complement(X_177),X_370)),X_368) != join(X_177,join(meet(complement(X_177),X_370),X_368))
| join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(X_177,join(meet(complement(X_177),X_370),X_368)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)),join(X_177,join(meet(complement(X_177),X_370),X_368))) ),[0],$fot(join(join(X_177,meet(complement(X_177),X_370)),X_368))]]) ).
cnf(refute_0_2844,plain,
( join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) != join(join(X_177,meet(complement(X_177),X_370)),X_368)
| join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(X_177,join(meet(complement(X_177),X_370),X_368)) ),
inference(resolve,[$cnf( $equal(join(join(X_177,meet(complement(X_177),X_370)),X_368),join(X_177,join(meet(complement(X_177),X_370),X_368))) )],[refute_0_2842,refute_0_2843]) ).
cnf(refute_0_2845,plain,
( join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)) != join(join(X_177,meet(complement(X_177),X_370)),X_368)
| join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(X_177,join(meet(complement(X_177),X_370),X_368)) ),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)),join(join(X_177,meet(complement(X_177),X_370)),X_368)) )],[refute_0_2841,refute_0_2844]) ).
cnf(refute_0_2846,plain,
join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(X_177,join(meet(complement(X_177),X_370),X_368)),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(join(X_177,meet(complement(X_177),X_370)),complement(X_370)),X_368)),join(join(X_177,meet(complement(X_177),X_370)),X_368)) )],[refute_0_2830,refute_0_2845]) ).
cnf(refute_0_2847,plain,
join(meet(X_370,join(X_370,X_36)),join(meet(join(X_370,X_36),complement(X_370)),X_368)) = join(join(X_370,X_36),X_368),
inference(subst,[],[refute_0_334:[bind(X2,$fot(X_368)),bind(X_238,$fot(join(X_370,X_36))),bind(X_239,$fot(X_370))]]) ).
cnf(refute_0_2848,plain,
X_370 = meet(X_370,join(X_370,X_36)),
inference(subst,[],[refute_0_644:[bind(X_96,$fot(X_370))]]) ).
cnf(refute_0_2849,plain,
( X_370 != meet(X_370,join(X_370,X_36))
| meet(X_370,join(X_370,X_36)) = X_370 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_370)),bind(Y,$fot(meet(X_370,join(X_370,X_36))))]]) ).
cnf(refute_0_2850,plain,
meet(X_370,join(X_370,X_36)) = X_370,
inference(resolve,[$cnf( $equal(X_370,meet(X_370,join(X_370,X_36))) )],[refute_0_2848,refute_0_2849]) ).
cnf(refute_0_2851,plain,
( join(meet(X_370,join(X_370,X_36)),join(meet(join(X_370,X_36),complement(X_370)),X_368)) != join(join(X_370,X_36),X_368)
| meet(X_370,join(X_370,X_36)) != X_370
| join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)) = join(join(X_370,X_36),X_368) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_370,join(X_370,X_36)),join(meet(join(X_370,X_36),complement(X_370)),X_368)),join(join(X_370,X_36),X_368)) ),[0,0],$fot(X_370)]]) ).
cnf(refute_0_2852,plain,
( join(meet(X_370,join(X_370,X_36)),join(meet(join(X_370,X_36),complement(X_370)),X_368)) != join(join(X_370,X_36),X_368)
| join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)) = join(join(X_370,X_36),X_368) ),
inference(resolve,[$cnf( $equal(meet(X_370,join(X_370,X_36)),X_370) )],[refute_0_2850,refute_0_2851]) ).
cnf(refute_0_2853,plain,
join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)) = join(join(X_370,X_36),X_368),
inference(resolve,[$cnf( $equal(join(meet(X_370,join(X_370,X_36)),join(meet(join(X_370,X_36),complement(X_370)),X_368)),join(join(X_370,X_36),X_368)) )],[refute_0_2847,refute_0_2852]) ).
cnf(refute_0_2854,plain,
meet(join(X_370,X_36),complement(X_370)) = meet(complement(X_370),join(X_370,X_36)),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(complement(X_370))),bind(X_8,$fot(join(X_370,X_36)))]]) ).
cnf(refute_0_2855,plain,
join(meet(join(X_370,X_36),complement(X_370)),X_368) = join(meet(join(X_370,X_36),complement(X_370)),X_368),
introduced(tautology,[refl,[$fot(join(meet(join(X_370,X_36),complement(X_370)),X_368))]]) ).
cnf(refute_0_2856,plain,
( join(meet(join(X_370,X_36),complement(X_370)),X_368) != join(meet(join(X_370,X_36),complement(X_370)),X_368)
| meet(join(X_370,X_36),complement(X_370)) != meet(complement(X_370),join(X_370,X_36))
| join(meet(join(X_370,X_36),complement(X_370)),X_368) = join(meet(complement(X_370),join(X_370,X_36)),X_368) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_370,X_36),complement(X_370)),X_368),join(meet(join(X_370,X_36),complement(X_370)),X_368)) ),[1,0],$fot(meet(complement(X_370),join(X_370,X_36)))]]) ).
cnf(refute_0_2857,plain,
( meet(join(X_370,X_36),complement(X_370)) != meet(complement(X_370),join(X_370,X_36))
| join(meet(join(X_370,X_36),complement(X_370)),X_368) = join(meet(complement(X_370),join(X_370,X_36)),X_368) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_370,X_36),complement(X_370)),X_368),join(meet(join(X_370,X_36),complement(X_370)),X_368)) )],[refute_0_2855,refute_0_2856]) ).
cnf(refute_0_2858,plain,
join(meet(join(X_370,X_36),complement(X_370)),X_368) = join(meet(complement(X_370),join(X_370,X_36)),X_368),
inference(resolve,[$cnf( $equal(meet(join(X_370,X_36),complement(X_370)),meet(complement(X_370),join(X_370,X_36))) )],[refute_0_2854,refute_0_2857]) ).
cnf(refute_0_2859,plain,
join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)) = join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)),
introduced(tautology,[refl,[$fot(join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)))]]) ).
cnf(refute_0_2860,plain,
( join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)) != join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368))
| join(meet(join(X_370,X_36),complement(X_370)),X_368) != join(meet(complement(X_370),join(X_370,X_36)),X_368)
| join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)) = join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)),join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368))) ),[1,1],$fot(join(meet(complement(X_370),join(X_370,X_36)),X_368))]]) ).
cnf(refute_0_2861,plain,
( join(meet(join(X_370,X_36),complement(X_370)),X_368) != join(meet(complement(X_370),join(X_370,X_36)),X_368)
| join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)) = join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) ),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)),join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368))) )],[refute_0_2859,refute_0_2860]) ).
cnf(refute_0_2862,plain,
join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)) = join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)),
inference(resolve,[$cnf( $equal(join(meet(join(X_370,X_36),complement(X_370)),X_368),join(meet(complement(X_370),join(X_370,X_36)),X_368)) )],[refute_0_2858,refute_0_2861]) ).
cnf(refute_0_2863,plain,
( join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)) != join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368))
| join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)) != join(join(X_370,X_36),X_368)
| join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) = join(join(X_370,X_36),X_368) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)),join(join(X_370,X_36),X_368)) ),[0],$fot(join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)))]]) ).
cnf(refute_0_2864,plain,
( join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)) != join(join(X_370,X_36),X_368)
| join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) = join(join(X_370,X_36),X_368) ),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)),join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368))) )],[refute_0_2862,refute_0_2863]) ).
cnf(refute_0_2865,plain,
join(join(X_370,X_36),X_368) = join(X_370,join(X_36,X_368)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(X_370)),bind(X1,$fot(X_36)),bind(X2,$fot(X_368))]]) ).
cnf(refute_0_2866,plain,
( join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) != join(join(X_370,X_36),X_368)
| join(join(X_370,X_36),X_368) != join(X_370,join(X_36,X_368))
| join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) = join(X_370,join(X_36,X_368)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)),join(X_370,join(X_36,X_368))) ),[0],$fot(join(join(X_370,X_36),X_368))]]) ).
cnf(refute_0_2867,plain,
( join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) != join(join(X_370,X_36),X_368)
| join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) = join(X_370,join(X_36,X_368)) ),
inference(resolve,[$cnf( $equal(join(join(X_370,X_36),X_368),join(X_370,join(X_36,X_368))) )],[refute_0_2865,refute_0_2866]) ).
cnf(refute_0_2868,plain,
( join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)) != join(join(X_370,X_36),X_368)
| join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) = join(X_370,join(X_36,X_368)) ),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)),join(join(X_370,X_36),X_368)) )],[refute_0_2864,refute_0_2867]) ).
cnf(refute_0_2869,plain,
join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) = join(X_370,join(X_36,X_368)),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(join(X_370,X_36),complement(X_370)),X_368)),join(join(X_370,X_36),X_368)) )],[refute_0_2853,refute_0_2868]) ).
cnf(refute_0_2870,plain,
join(X_370,join(meet(complement(X_370),join(X_370,X_177)),X_368)) = join(X_370,join(X_177,X_368)),
inference(subst,[],[refute_0_2869:[bind(X_36,$fot(X_177))]]) ).
cnf(refute_0_2871,plain,
join(complement(complement(X1)),meet(complement(X1),X_395)) = join(X_395,complement(complement(X1))),
inference(subst,[],[refute_0_1074:[bind(X_369,$fot(X_395)),bind(X_370,$fot(complement(X1)))]]) ).
cnf(refute_0_2872,plain,
( complement(complement(X1)) != X1
| join(complement(complement(X1)),meet(complement(X1),X_395)) != join(X_395,complement(complement(X1)))
| join(X1,meet(complement(X1),X_395)) = join(X_395,complement(complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X1)),meet(complement(X1),X_395)),join(X_395,complement(complement(X1)))) ),[0,0],$fot(X1)]]) ).
cnf(refute_0_2873,plain,
( join(complement(complement(X1)),meet(complement(X1),X_395)) != join(X_395,complement(complement(X1)))
| join(X1,meet(complement(X1),X_395)) = join(X_395,complement(complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_2872]) ).
cnf(refute_0_2874,plain,
join(X1,meet(complement(X1),X_395)) = join(X_395,complement(complement(X1))),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),meet(complement(X1),X_395)),join(X_395,complement(complement(X1)))) )],[refute_0_2871,refute_0_2873]) ).
cnf(refute_0_2875,plain,
join(X_395,complement(complement(X1))) = join(X_395,complement(complement(X1))),
introduced(tautology,[refl,[$fot(join(X_395,complement(complement(X1))))]]) ).
cnf(refute_0_2876,plain,
( complement(complement(X1)) != X1
| join(X_395,complement(complement(X1))) != join(X_395,complement(complement(X1)))
| join(X_395,complement(complement(X1))) = join(X_395,X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_395,complement(complement(X1))),join(X_395,complement(complement(X1)))) ),[1,1],$fot(X1)]]) ).
cnf(refute_0_2877,plain,
( complement(complement(X1)) != X1
| join(X_395,complement(complement(X1))) = join(X_395,X1) ),
inference(resolve,[$cnf( $equal(join(X_395,complement(complement(X1))),join(X_395,complement(complement(X1)))) )],[refute_0_2875,refute_0_2876]) ).
cnf(refute_0_2878,plain,
join(X_395,complement(complement(X1))) = join(X_395,X1),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_2877]) ).
cnf(refute_0_2879,plain,
( join(X1,meet(complement(X1),X_395)) != join(X_395,complement(complement(X1)))
| join(X_395,complement(complement(X1))) != join(X_395,X1)
| join(X1,meet(complement(X1),X_395)) = join(X_395,X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X1,meet(complement(X1),X_395)),join(X_395,X1)) ),[0],$fot(join(X_395,complement(complement(X1))))]]) ).
cnf(refute_0_2880,plain,
( join(X1,meet(complement(X1),X_395)) != join(X_395,complement(complement(X1)))
| join(X1,meet(complement(X1),X_395)) = join(X_395,X1) ),
inference(resolve,[$cnf( $equal(join(X_395,complement(complement(X1))),join(X_395,X1)) )],[refute_0_2878,refute_0_2879]) ).
cnf(refute_0_2881,plain,
join(X1,meet(complement(X1),X_395)) = join(X_395,X1),
inference(resolve,[$cnf( $equal(join(X1,meet(complement(X1),X_395)),join(X_395,complement(complement(X1)))) )],[refute_0_2874,refute_0_2880]) ).
cnf(refute_0_2882,plain,
join(X_177,meet(complement(X_177),X_370)) = join(X_370,X_177),
inference(subst,[],[refute_0_2881:[bind(X1,$fot(X_177)),bind(X_395,$fot(X_370))]]) ).
cnf(refute_0_2883,plain,
meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))) = meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),
introduced(tautology,[refl,[$fot(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))))]]) ).
cnf(refute_0_2884,plain,
( join(X_177,meet(complement(X_177),X_370)) != join(X_370,X_177)
| meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))) != meet(complement(X_370),join(X_177,meet(complement(X_177),X_370)))
| meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))) = meet(complement(X_370),join(X_370,X_177)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),meet(complement(X_370),join(X_177,meet(complement(X_177),X_370)))) ),[1,1],$fot(join(X_370,X_177))]]) ).
cnf(refute_0_2885,plain,
( join(X_177,meet(complement(X_177),X_370)) != join(X_370,X_177)
| meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))) = meet(complement(X_370),join(X_370,X_177)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),meet(complement(X_370),join(X_177,meet(complement(X_177),X_370)))) )],[refute_0_2883,refute_0_2884]) ).
cnf(refute_0_2886,plain,
meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))) = meet(complement(X_370),join(X_370,X_177)),
inference(resolve,[$cnf( $equal(join(X_177,meet(complement(X_177),X_370)),join(X_370,X_177)) )],[refute_0_2882,refute_0_2885]) ).
cnf(refute_0_2887,plain,
join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368) = join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368),
introduced(tautology,[refl,[$fot(join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368))]]) ).
cnf(refute_0_2888,plain,
( join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368) != join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)
| meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))) != meet(complement(X_370),join(X_370,X_177))
| join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368) = join(meet(complement(X_370),join(X_370,X_177)),X_368) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368),join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) ),[1,0],$fot(meet(complement(X_370),join(X_370,X_177)))]]) ).
cnf(refute_0_2889,plain,
( meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))) != meet(complement(X_370),join(X_370,X_177))
| join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368) = join(meet(complement(X_370),join(X_370,X_177)),X_368) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368),join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) )],[refute_0_2887,refute_0_2888]) ).
cnf(refute_0_2890,plain,
join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368) = join(meet(complement(X_370),join(X_370,X_177)),X_368),
inference(resolve,[$cnf( $equal(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),meet(complement(X_370),join(X_370,X_177))) )],[refute_0_2886,refute_0_2889]) ).
cnf(refute_0_2891,plain,
join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)),
introduced(tautology,[refl,[$fot(join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)))]]) ).
cnf(refute_0_2892,plain,
( join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) != join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368))
| join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368) != join(meet(complement(X_370),join(X_370,X_177)),X_368)
| join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(X_370,join(meet(complement(X_370),join(X_370,X_177)),X_368)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)),join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368))) ),[1,1],$fot(join(meet(complement(X_370),join(X_370,X_177)),X_368))]]) ).
cnf(refute_0_2893,plain,
( join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368) != join(meet(complement(X_370),join(X_370,X_177)),X_368)
| join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(X_370,join(meet(complement(X_370),join(X_370,X_177)),X_368)) ),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)),join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368))) )],[refute_0_2891,refute_0_2892]) ).
cnf(refute_0_2894,plain,
join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(X_370,join(meet(complement(X_370),join(X_370,X_177)),X_368)),
inference(resolve,[$cnf( $equal(join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368),join(meet(complement(X_370),join(X_370,X_177)),X_368)) )],[refute_0_2890,refute_0_2893]) ).
cnf(refute_0_2895,plain,
( join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) != join(X_370,join(meet(complement(X_370),join(X_370,X_177)),X_368))
| join(X_370,join(meet(complement(X_370),join(X_370,X_177)),X_368)) != join(X_370,join(X_177,X_368))
| join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(X_370,join(X_177,X_368)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)))),bind(Y,$fot(join(X_370,join(meet(complement(X_370),join(X_370,X_177)),X_368)))),bind(Z,$fot(join(X_370,join(X_177,X_368))))]]) ).
cnf(refute_0_2896,plain,
( join(X_370,join(meet(complement(X_370),join(X_370,X_177)),X_368)) != join(X_370,join(X_177,X_368))
| join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(X_370,join(X_177,X_368)) ),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)),join(X_370,join(meet(complement(X_370),join(X_370,X_177)),X_368))) )],[refute_0_2894,refute_0_2895]) ).
cnf(refute_0_2897,plain,
join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) = join(X_370,join(X_177,X_368)),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_370,X_177)),X_368)),join(X_370,join(X_177,X_368))) )],[refute_0_2870,refute_0_2896]) ).
cnf(refute_0_2898,plain,
( join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) != join(X_177,join(meet(complement(X_177),X_370),X_368))
| join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) != join(X_370,join(X_177,X_368))
| join(X_370,join(X_177,X_368)) = join(X_177,join(meet(complement(X_177),X_370),X_368)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)),join(X_177,join(meet(complement(X_177),X_370),X_368))) ),[0],$fot(join(X_370,join(X_177,X_368)))]]) ).
cnf(refute_0_2899,plain,
( join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)) != join(X_177,join(meet(complement(X_177),X_370),X_368))
| join(X_370,join(X_177,X_368)) = join(X_177,join(meet(complement(X_177),X_370),X_368)) ),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)),join(X_370,join(X_177,X_368))) )],[refute_0_2897,refute_0_2898]) ).
cnf(refute_0_2900,plain,
join(X_370,join(X_177,X_368)) = join(X_177,join(meet(complement(X_177),X_370),X_368)),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_177,meet(complement(X_177),X_370))),X_368)),join(X_177,join(meet(complement(X_177),X_370),X_368))) )],[refute_0_2846,refute_0_2899]) ).
cnf(refute_0_2901,plain,
( join(X_370,join(X_177,X_368)) != join(X_177,join(meet(complement(X_177),X_370),X_368))
| join(X_177,join(meet(complement(X_177),X_370),X_368)) = join(X_370,join(X_177,X_368)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_370,join(X_177,X_368)))),bind(Y,$fot(join(X_177,join(meet(complement(X_177),X_370),X_368))))]]) ).
cnf(refute_0_2902,plain,
join(X_177,join(meet(complement(X_177),X_370),X_368)) = join(X_370,join(X_177,X_368)),
inference(resolve,[$cnf( $equal(join(X_370,join(X_177,X_368)),join(X_177,join(meet(complement(X_177),X_370),X_368))) )],[refute_0_2900,refute_0_2901]) ).
cnf(refute_0_2903,plain,
join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) = join(converse(composition(X_11,top)),join(converse(X_11),X_368)),
inference(subst,[],[refute_0_2902:[bind(X_177,$fot(converse(X_11))),bind(X_370,$fot(converse(composition(X_11,top))))]]) ).
cnf(refute_0_2904,plain,
( join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) != join(converse(composition(X_11,top)),join(converse(X_11),X_368))
| join(converse(composition(X_11,top)),join(converse(X_11),X_368)) != join(X_368,converse(join(X_11,composition(X_11,top))))
| join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) = join(X_368,converse(join(X_11,composition(X_11,top)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)))),bind(Y,$fot(join(converse(composition(X_11,top)),join(converse(X_11),X_368)))),bind(Z,$fot(join(X_368,converse(join(X_11,composition(X_11,top))))))]]) ).
cnf(refute_0_2905,plain,
( join(converse(composition(X_11,top)),join(converse(X_11),X_368)) != join(X_368,converse(join(X_11,composition(X_11,top))))
| join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) = join(X_368,converse(join(X_11,composition(X_11,top)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)),join(converse(composition(X_11,top)),join(converse(X_11),X_368))) )],[refute_0_2903,refute_0_2904]) ).
cnf(refute_0_2906,plain,
join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) = join(X_368,converse(join(X_11,composition(X_11,top)))),
inference(resolve,[$cnf( $equal(join(converse(composition(X_11,top)),join(converse(X_11),X_368)),join(X_368,converse(join(X_11,composition(X_11,top))))) )],[refute_0_2812,refute_0_2905]) ).
cnf(refute_0_2907,plain,
( join(X_368,converse(join(X_11,composition(X_11,top)))) != join(X_368,converse(composition(X_11,top)))
| join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) != join(X_368,converse(join(X_11,composition(X_11,top))))
| join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) = join(X_368,converse(composition(X_11,top))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)))),bind(Y,$fot(join(X_368,converse(join(X_11,composition(X_11,top)))))),bind(Z,$fot(join(X_368,converse(composition(X_11,top)))))]]) ).
cnf(refute_0_2908,plain,
( join(X_368,converse(join(X_11,composition(X_11,top)))) != join(X_368,converse(composition(X_11,top)))
| join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) = join(X_368,converse(composition(X_11,top))) ),
inference(resolve,[$cnf( $equal(join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)),join(X_368,converse(join(X_11,composition(X_11,top))))) )],[refute_0_2906,refute_0_2907]) ).
cnf(refute_0_2909,plain,
join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) = join(X_368,converse(composition(X_11,top))),
inference(resolve,[$cnf( $equal(join(X_368,converse(join(X_11,composition(X_11,top)))),join(X_368,converse(composition(X_11,top)))) )],[refute_0_2780,refute_0_2908]) ).
cnf(refute_0_2910,plain,
( join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) != join(X_368,converse(composition(X_11,top)))
| join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) != join(converse(composition(X_11,top)),X_368)
| join(X_368,converse(composition(X_11,top))) = join(converse(composition(X_11,top)),X_368) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)),join(converse(composition(X_11,top)),X_368)) ),[0],$fot(join(X_368,converse(composition(X_11,top))))]]) ).
cnf(refute_0_2911,plain,
( join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)) != join(converse(composition(X_11,top)),X_368)
| join(X_368,converse(composition(X_11,top))) = join(converse(composition(X_11,top)),X_368) ),
inference(resolve,[$cnf( $equal(join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)),join(X_368,converse(composition(X_11,top)))) )],[refute_0_2909,refute_0_2910]) ).
cnf(refute_0_2912,plain,
join(X_368,converse(composition(X_11,top))) = join(converse(composition(X_11,top)),X_368),
inference(resolve,[$cnf( $equal(join(converse(X_11),join(meet(complement(converse(X_11)),converse(composition(X_11,top))),X_368)),join(converse(composition(X_11,top)),X_368)) )],[refute_0_2725,refute_0_2911]) ).
cnf(refute_0_2913,plain,
join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) = join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2912:[bind(X_11,$fot(skolemFOFtoCNF_X0)),bind(X_368,$fot(composition(X_685,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2914,plain,
( join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) != join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0)))
| join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))
| join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) = converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))))]]) ).
cnf(refute_0_2915,plain,
( join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))
| join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) = converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) ),
inference(resolve,[$cnf( $equal(join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))),join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0)))) )],[refute_0_2913,refute_0_2914]) ).
cnf(refute_0_2916,plain,
join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) = converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_685,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))) )],[refute_0_2703,refute_0_2915]) ).
cnf(refute_0_2917,plain,
( converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) != converse(composition(skolemFOFtoCNF_X0,top))
| join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) != converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))
| join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))))),bind(Z,$fot(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_2918,plain,
( converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))) != converse(composition(skolemFOFtoCNF_X0,top))
| join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685))))) )],[refute_0_2916,refute_0_2917]) ).
cnf(refute_0_2919,plain,
join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,join(top,converse(X_685)))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2669,refute_0_2918]) ).
cnf(refute_0_2920,plain,
( composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) != join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top)))
| join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) ),[0],$fot(join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_2921,plain,
( composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) != join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top)))
| composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2919,refute_0_2920]) ).
cnf(refute_0_2922,plain,
composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(join(X_685,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),join(composition(X_685,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_2660,refute_0_2921]) ).
cnf(refute_0_2923,plain,
composition(join(X_1010,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_2922:[bind(X_685,$fot(X_1010))]]) ).
cnf(refute_0_2924,plain,
( composition(X_1010,converse(skolemFOFtoCNF_X0)) != meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),composition(join(X_1010,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| composition(join(X_1010,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(X_1010,converse(skolemFOFtoCNF_X0)) = meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_1010,converse(skolemFOFtoCNF_X0)),meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),composition(join(X_1010,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) ),[1,1],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_2925,plain,
( composition(X_1010,converse(skolemFOFtoCNF_X0)) != meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),composition(join(X_1010,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| composition(X_1010,converse(skolemFOFtoCNF_X0)) = meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_1010,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2923,refute_0_2924]) ).
cnf(refute_0_2926,plain,
composition(X_1010,converse(skolemFOFtoCNF_X0)) = meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(composition(X_1010,converse(skolemFOFtoCNF_X0)),meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),composition(join(X_1010,composition(top,skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_2574,refute_0_2925]) ).
cnf(refute_0_2927,plain,
meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) = meet(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_1010,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_41:[bind(X_96,$fot(converse(composition(skolemFOFtoCNF_X0,top)))),bind(X_97,$fot(composition(X_1010,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2928,plain,
( composition(X_1010,converse(skolemFOFtoCNF_X0)) != meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top)))
| meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) != meet(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_1010,converse(skolemFOFtoCNF_X0)))
| composition(X_1010,converse(skolemFOFtoCNF_X0)) = meet(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_1010,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_1010,converse(skolemFOFtoCNF_X0)),meet(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_1010,converse(skolemFOFtoCNF_X0)))) ),[0],$fot(meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_2929,plain,
( composition(X_1010,converse(skolemFOFtoCNF_X0)) != meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top)))
| composition(X_1010,converse(skolemFOFtoCNF_X0)) = meet(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_1010,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))),meet(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_1010,converse(skolemFOFtoCNF_X0)))) )],[refute_0_2927,refute_0_2928]) ).
cnf(refute_0_2930,plain,
composition(X_1010,converse(skolemFOFtoCNF_X0)) = meet(converse(composition(skolemFOFtoCNF_X0,top)),composition(X_1010,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(X_1010,converse(skolemFOFtoCNF_X0)),meet(composition(X_1010,converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_2926,refute_0_2929]) ).
cnf(refute_0_2931,plain,
composition(converse(X1),converse(skolemFOFtoCNF_X0)) = meet(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(X1),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2930:[bind(X_1010,$fot(converse(X1)))]]) ).
cnf(refute_0_2932,plain,
converse(composition(skolemFOFtoCNF_X0,X1)) = composition(converse(X1),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_93:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2933,plain,
( converse(composition(skolemFOFtoCNF_X0,X1)) != composition(converse(X1),converse(skolemFOFtoCNF_X0))
| composition(converse(X1),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,X1)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2934,plain,
composition(converse(X1),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,X1)),composition(converse(X1),converse(skolemFOFtoCNF_X0))) )],[refute_0_2932,refute_0_2933]) ).
cnf(refute_0_2935,plain,
( composition(converse(X1),converse(skolemFOFtoCNF_X0)) != converse(composition(skolemFOFtoCNF_X0,X1))
| composition(converse(X1),converse(skolemFOFtoCNF_X0)) != meet(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(X1),converse(skolemFOFtoCNF_X0)))
| composition(converse(X1),converse(skolemFOFtoCNF_X0)) = meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X1),converse(skolemFOFtoCNF_X0)),meet(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(X1),converse(skolemFOFtoCNF_X0)))) ),[1,1],$fot(converse(composition(skolemFOFtoCNF_X0,X1)))]]) ).
cnf(refute_0_2936,plain,
( composition(converse(X1),converse(skolemFOFtoCNF_X0)) != meet(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(X1),converse(skolemFOFtoCNF_X0)))
| composition(converse(X1),converse(skolemFOFtoCNF_X0)) = meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X1))) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,X1))) )],[refute_0_2934,refute_0_2935]) ).
cnf(refute_0_2937,plain,
composition(converse(X1),converse(skolemFOFtoCNF_X0)) = meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X1))),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(skolemFOFtoCNF_X0)),meet(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(X1),converse(skolemFOFtoCNF_X0)))) )],[refute_0_2931,refute_0_2936]) ).
cnf(refute_0_2938,plain,
( composition(converse(X1),converse(skolemFOFtoCNF_X0)) != converse(composition(skolemFOFtoCNF_X0,X1))
| composition(converse(X1),converse(skolemFOFtoCNF_X0)) != meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X1)))
| converse(composition(skolemFOFtoCNF_X0,X1)) = meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X1),converse(skolemFOFtoCNF_X0)),meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X1)))) ),[0],$fot(converse(composition(skolemFOFtoCNF_X0,X1)))]]) ).
cnf(refute_0_2939,plain,
( composition(converse(X1),converse(skolemFOFtoCNF_X0)) != meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X1)))
| converse(composition(skolemFOFtoCNF_X0,X1)) = meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X1))) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,X1))) )],[refute_0_2934,refute_0_2938]) ).
cnf(refute_0_2940,plain,
converse(composition(skolemFOFtoCNF_X0,X1)) = meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X1))),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(skolemFOFtoCNF_X0)),meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X1)))) )],[refute_0_2937,refute_0_2939]) ).
cnf(refute_0_2941,plain,
converse(composition(skolemFOFtoCNF_X0,X_1024)) = meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024))),
inference(subst,[],[refute_0_2940:[bind(X1,$fot(X_1024))]]) ).
cnf(refute_0_2942,plain,
( converse(composition(skolemFOFtoCNF_X0,X_1024)) != meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))
| meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024))) = converse(composition(skolemFOFtoCNF_X0,X_1024)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,X_1024)))),bind(Y,$fot(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))))]]) ).
cnf(refute_0_2943,plain,
meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024))) = converse(composition(skolemFOFtoCNF_X0,X_1024)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,X_1024)),meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) )],[refute_0_2941,refute_0_2942]) ).
cnf(refute_0_2944,plain,
( converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) != meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))))
| meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024))) != converse(composition(skolemFOFtoCNF_X0,X_1024))
| converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))),meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))))) ),[1,1,0],$fot(converse(composition(skolemFOFtoCNF_X0,X_1024)))]]) ).
cnf(refute_0_2945,plain,
( converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) != meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))))
| converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024))),converse(composition(skolemFOFtoCNF_X0,X_1024))) )],[refute_0_2943,refute_0_2944]) ).
cnf(refute_0_2946,plain,
converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))),
inference(resolve,[$cnf( $equal(converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))),meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))))) )],[refute_0_2569,refute_0_2945]) ).
cnf(refute_0_2947,plain,
converse(converse(composition(skolemFOFtoCNF_X0,X_1024))) = composition(skolemFOFtoCNF_X0,X_1024),
inference(subst,[],[refute_0_95:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,X_1024)))]]) ).
cnf(refute_0_2948,plain,
converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) = converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))),
introduced(tautology,[refl,[$fot(converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))))]]) ).
cnf(refute_0_2949,plain,
( converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) != converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024))))
| meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024))) != converse(composition(skolemFOFtoCNF_X0,X_1024))
| converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) = converse(converse(composition(skolemFOFtoCNF_X0,X_1024))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))),converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024))))) ),[1,0],$fot(converse(composition(skolemFOFtoCNF_X0,X_1024)))]]) ).
cnf(refute_0_2950,plain,
( meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024))) != converse(composition(skolemFOFtoCNF_X0,X_1024))
| converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) = converse(converse(composition(skolemFOFtoCNF_X0,X_1024))) ),
inference(resolve,[$cnf( $equal(converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))),converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024))))) )],[refute_0_2948,refute_0_2949]) ).
cnf(refute_0_2951,plain,
converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) = converse(converse(composition(skolemFOFtoCNF_X0,X_1024))),
inference(resolve,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024))),converse(composition(skolemFOFtoCNF_X0,X_1024))) )],[refute_0_2943,refute_0_2950]) ).
cnf(refute_0_2952,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,X_1024))) != composition(skolemFOFtoCNF_X0,X_1024)
| converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) != converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))
| converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) = composition(skolemFOFtoCNF_X0,X_1024) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))))),bind(Y,$fot(converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,X_1024)))]]) ).
cnf(refute_0_2953,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,X_1024))) != composition(skolemFOFtoCNF_X0,X_1024)
| converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) = composition(skolemFOFtoCNF_X0,X_1024) ),
inference(resolve,[$cnf( $equal(converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) )],[refute_0_2951,refute_0_2952]) ).
cnf(refute_0_2954,plain,
converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) = composition(skolemFOFtoCNF_X0,X_1024),
inference(resolve,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,X_1024))),composition(skolemFOFtoCNF_X0,X_1024)) )],[refute_0_2947,refute_0_2953]) ).
cnf(refute_0_2955,plain,
( converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) != composition(skolemFOFtoCNF_X0,X_1024)
| converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) != meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))
| composition(skolemFOFtoCNF_X0,X_1024) = meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))),meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))) ),[0],$fot(composition(skolemFOFtoCNF_X0,X_1024))]]) ).
cnf(refute_0_2956,plain,
( converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) != meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))
| composition(skolemFOFtoCNF_X0,X_1024) = meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) ),
inference(resolve,[$cnf( $equal(converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))),composition(skolemFOFtoCNF_X0,X_1024)) )],[refute_0_2954,refute_0_2955]) ).
cnf(refute_0_2957,plain,
meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))),
introduced(tautology,[refl,[$fot(meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))))]]) ).
cnf(refute_0_2958,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,X_1024))) != composition(skolemFOFtoCNF_X0,X_1024)
| meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) != meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))
| meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))),meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,X_1024))]]) ).
cnf(refute_0_2959,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,X_1024))) != composition(skolemFOFtoCNF_X0,X_1024)
| meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024)) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))),meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))) )],[refute_0_2957,refute_0_2958]) ).
cnf(refute_0_2960,plain,
meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024)),
inference(resolve,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,X_1024))),composition(skolemFOFtoCNF_X0,X_1024)) )],[refute_0_2947,refute_0_2959]) ).
cnf(refute_0_2961,plain,
converse(converse(composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,top),
inference(subst,[],[refute_0_95:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_2962,plain,
meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))),
introduced(tautology,[refl,[$fot(meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))))]]) ).
cnf(refute_0_2963,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) != meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))
| meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))),meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_2964,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))),meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))) )],[refute_0_2962,refute_0_2963]) ).
cnf(refute_0_2965,plain,
meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))),
inference(resolve,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_2961,refute_0_2964]) ).
cnf(refute_0_2966,plain,
( meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) != meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024))
| meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) != meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))
| meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))))),bind(Y,$fot(meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))))),bind(Z,$fot(meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024))))]]) ).
cnf(refute_0_2967,plain,
( meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) != meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024))
| meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024)) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))),meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))) )],[refute_0_2965,refute_0_2966]) ).
cnf(refute_0_2968,plain,
meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024)),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024))) )],[refute_0_2960,refute_0_2967]) ).
cnf(refute_0_2969,plain,
( composition(skolemFOFtoCNF_X0,X_1024) != meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))
| meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))) != meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024))
| composition(skolemFOFtoCNF_X0,X_1024) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0,X_1024),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024))) ),[0],$fot(meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))))]]) ).
cnf(refute_0_2970,plain,
( composition(skolemFOFtoCNF_X0,X_1024) != meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))
| composition(skolemFOFtoCNF_X0,X_1024) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024)) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024)))),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024))) )],[refute_0_2968,refute_0_2969]) ).
cnf(refute_0_2971,plain,
( converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))) != meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))
| composition(skolemFOFtoCNF_X0,X_1024) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,X_1024),meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))) )],[refute_0_2956,refute_0_2970]) ).
cnf(refute_0_2972,plain,
composition(skolemFOFtoCNF_X0,X_1024) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,X_1024)),
inference(resolve,[$cnf( $equal(converse(meet(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,X_1024)))),meet(converse(converse(composition(skolemFOFtoCNF_X0,top))),converse(converse(composition(skolemFOFtoCNF_X0,X_1024))))) )],[refute_0_2946,refute_0_2971]) ).
cnf(refute_0_2973,plain,
composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),
inference(subst,[],[refute_0_2972:[bind(X_1024,$fot(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_2974,plain,
( composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) != meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))
| meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))]]) ).
cnf(refute_0_2975,plain,
meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_2973,refute_0_2974]) ).
cnf(refute_0_2976,plain,
( meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) != composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) != zero
| composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),zero) ),[0],$fot(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_2977,plain,
( meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) != zero
| composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) = zero ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_2975,refute_0_2976]) ).
cnf(refute_0_2978,plain,
composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) = zero,
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),zero) )],[refute_0_2560,refute_0_2977]) ).
cnf(refute_0_2979,plain,
( composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) != zero
| join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) != complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_2980,plain,
( join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) != complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),zero) )],[refute_0_2978,refute_0_2979]) ).
cnf(refute_0_2981,plain,
join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_2538,refute_0_2980]) ).
cnf(refute_0_2982,plain,
composition(converse(skolemFOFtoCNF_X0),top) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2594:[bind(X_12,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2983,plain,
composition(join(one,X_161),top) = meet(top,composition(join(one,X_161),top)),
inference(subst,[],[refute_0_303:[bind(X_98,$fot(composition(join(one,X_161),top)))]]) ).
cnf(refute_0_2984,plain,
top = meet(top,composition(join(one,X_161),top)),
inference(subst,[],[refute_0_1778:[bind(X_130,$fot(top)),bind(X_131,$fot(X_161))]]) ).
cnf(refute_0_2985,plain,
( top != meet(top,composition(join(one,X_161),top))
| meet(top,composition(join(one,X_161),top)) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(meet(top,composition(join(one,X_161),top))))]]) ).
cnf(refute_0_2986,plain,
meet(top,composition(join(one,X_161),top)) = top,
inference(resolve,[$cnf( $equal(top,meet(top,composition(join(one,X_161),top))) )],[refute_0_2984,refute_0_2985]) ).
cnf(refute_0_2987,plain,
( composition(join(one,X_161),top) != meet(top,composition(join(one,X_161),top))
| meet(top,composition(join(one,X_161),top)) != top
| composition(join(one,X_161),top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_161),top),top) ),[0],$fot(meet(top,composition(join(one,X_161),top)))]]) ).
cnf(refute_0_2988,plain,
( composition(join(one,X_161),top) != meet(top,composition(join(one,X_161),top))
| composition(join(one,X_161),top) = top ),
inference(resolve,[$cnf( $equal(meet(top,composition(join(one,X_161),top)),top) )],[refute_0_2986,refute_0_2987]) ).
cnf(refute_0_2989,plain,
composition(join(one,X_161),top) = top,
inference(resolve,[$cnf( $equal(composition(join(one,X_161),top),meet(top,composition(join(one,X_161),top))) )],[refute_0_2983,refute_0_2988]) ).
cnf(refute_0_2990,plain,
composition(join(one,skolemFOFtoCNF_X0),top) = top,
inference(subst,[],[refute_0_2989:[bind(X_161,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2991,plain,
composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)) = composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)),
introduced(tautology,[refl,[$fot(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_2992,plain,
( composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)) != composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top))
| composition(join(one,skolemFOFtoCNF_X0),top) != top
| composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)) = composition(converse(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)),composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2993,plain,
( composition(join(one,skolemFOFtoCNF_X0),top) != top
| composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)) = composition(converse(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)),composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top))) )],[refute_0_2991,refute_0_2992]) ).
cnf(refute_0_2994,plain,
composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)) = composition(converse(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),top),top) )],[refute_0_2990,refute_0_2993]) ).
cnf(refute_0_2995,plain,
( composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)) != composition(converse(skolemFOFtoCNF_X0),top)
| composition(converse(skolemFOFtoCNF_X0),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(converse(skolemFOFtoCNF_X0),top))),bind(Z,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2996,plain,
( composition(converse(skolemFOFtoCNF_X0),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)),composition(converse(skolemFOFtoCNF_X0),top)) )],[refute_0_2994,refute_0_2995]) ).
cnf(refute_0_2997,plain,
composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),top),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2982,refute_0_2996]) ).
cnf(refute_0_2998,plain,
composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top) = composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(join(one,skolemFOFtoCNF_X0))),bind(X2,$fot(top))]]) ).
cnf(refute_0_2999,plain,
( composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top) != composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top))
| composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top))),bind(Y,$fot(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)))),bind(Z,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3000,plain,
( composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top),composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top))) )],[refute_0_2998,refute_0_2999]) ).
cnf(refute_0_3001,plain,
composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),top)),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2997,refute_0_3000]) ).
cnf(refute_0_3002,plain,
converse(join(converse(X0),composition(X_61,converse(X0)))) = join(X0,converse(composition(X_61,converse(X0)))),
inference(subst,[],[refute_0_812:[bind(X_26,$fot(composition(X_61,converse(X0))))]]) ).
cnf(refute_0_3003,plain,
composition(join(X_61,one),converse(X0)) = join(converse(X0),composition(X_61,converse(X0))),
inference(subst,[],[refute_0_165:[bind(X_58,$fot(X_61)),bind(X_60,$fot(converse(X0)))]]) ).
cnf(refute_0_3004,plain,
( composition(join(X_61,one),converse(X0)) != join(converse(X0),composition(X_61,converse(X0)))
| join(converse(X0),composition(X_61,converse(X0))) = composition(join(X_61,one),converse(X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(X_61,one),converse(X0)))),bind(Y,$fot(join(converse(X0),composition(X_61,converse(X0)))))]]) ).
cnf(refute_0_3005,plain,
join(converse(X0),composition(X_61,converse(X0))) = composition(join(X_61,one),converse(X0)),
inference(resolve,[$cnf( $equal(composition(join(X_61,one),converse(X0)),join(converse(X0),composition(X_61,converse(X0)))) )],[refute_0_3003,refute_0_3004]) ).
cnf(refute_0_3006,plain,
( converse(join(converse(X0),composition(X_61,converse(X0)))) != join(X0,converse(composition(X_61,converse(X0))))
| join(converse(X0),composition(X_61,converse(X0))) != composition(join(X_61,one),converse(X0))
| converse(composition(join(X_61,one),converse(X0))) = join(X0,converse(composition(X_61,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),composition(X_61,converse(X0)))),join(X0,converse(composition(X_61,converse(X0))))) ),[0,0],$fot(composition(join(X_61,one),converse(X0)))]]) ).
cnf(refute_0_3007,plain,
( converse(join(converse(X0),composition(X_61,converse(X0)))) != join(X0,converse(composition(X_61,converse(X0))))
| converse(composition(join(X_61,one),converse(X0))) = join(X0,converse(composition(X_61,converse(X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),composition(X_61,converse(X0))),composition(join(X_61,one),converse(X0))) )],[refute_0_3005,refute_0_3006]) ).
cnf(refute_0_3008,plain,
converse(composition(join(X_61,one),converse(X0))) = join(X0,converse(composition(X_61,converse(X0)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(X_61,converse(X0)))),join(X0,converse(composition(X_61,converse(X0))))) )],[refute_0_3002,refute_0_3007]) ).
cnf(refute_0_3009,plain,
converse(composition(join(X_61,one),converse(X0))) = composition(X0,converse(join(X_61,one))),
inference(subst,[],[refute_0_1175:[bind(X_11,$fot(join(X_61,one)))]]) ).
cnf(refute_0_3010,plain,
( converse(composition(join(X_61,one),converse(X0))) != composition(X0,converse(join(X_61,one)))
| converse(composition(join(X_61,one),converse(X0))) != join(X0,converse(composition(X_61,converse(X0))))
| composition(X0,converse(join(X_61,one))) = join(X0,converse(composition(X_61,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_61,one),converse(X0))),join(X0,converse(composition(X_61,converse(X0))))) ),[0],$fot(composition(X0,converse(join(X_61,one))))]]) ).
cnf(refute_0_3011,plain,
( converse(composition(join(X_61,one),converse(X0))) != join(X0,converse(composition(X_61,converse(X0))))
| composition(X0,converse(join(X_61,one))) = join(X0,converse(composition(X_61,converse(X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_61,one),converse(X0))),composition(X0,converse(join(X_61,one)))) )],[refute_0_3009,refute_0_3010]) ).
cnf(refute_0_3012,plain,
converse(composition(X_61,converse(X0))) = composition(X0,converse(X_61)),
inference(subst,[],[refute_0_1175:[bind(X_11,$fot(X_61))]]) ).
cnf(refute_0_3013,plain,
join(X0,converse(composition(X_61,converse(X0)))) = join(X0,converse(composition(X_61,converse(X0)))),
introduced(tautology,[refl,[$fot(join(X0,converse(composition(X_61,converse(X0)))))]]) ).
cnf(refute_0_3014,plain,
( converse(composition(X_61,converse(X0))) != composition(X0,converse(X_61))
| join(X0,converse(composition(X_61,converse(X0)))) != join(X0,converse(composition(X_61,converse(X0))))
| join(X0,converse(composition(X_61,converse(X0)))) = join(X0,composition(X0,converse(X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(composition(X_61,converse(X0)))),join(X0,converse(composition(X_61,converse(X0))))) ),[1,1],$fot(composition(X0,converse(X_61)))]]) ).
cnf(refute_0_3015,plain,
( converse(composition(X_61,converse(X0))) != composition(X0,converse(X_61))
| join(X0,converse(composition(X_61,converse(X0)))) = join(X0,composition(X0,converse(X_61))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(composition(X_61,converse(X0)))),join(X0,converse(composition(X_61,converse(X0))))) )],[refute_0_3013,refute_0_3014]) ).
cnf(refute_0_3016,plain,
join(X0,converse(composition(X_61,converse(X0)))) = join(X0,composition(X0,converse(X_61))),
inference(resolve,[$cnf( $equal(converse(composition(X_61,converse(X0))),composition(X0,converse(X_61))) )],[refute_0_3012,refute_0_3015]) ).
cnf(refute_0_3017,plain,
( composition(X0,converse(join(X_61,one))) != join(X0,converse(composition(X_61,converse(X0))))
| join(X0,converse(composition(X_61,converse(X0)))) != join(X0,composition(X0,converse(X_61)))
| composition(X0,converse(join(X_61,one))) = join(X0,composition(X0,converse(X_61))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,converse(join(X_61,one))),join(X0,composition(X0,converse(X_61)))) ),[0],$fot(join(X0,converse(composition(X_61,converse(X0)))))]]) ).
cnf(refute_0_3018,plain,
( composition(X0,converse(join(X_61,one))) != join(X0,converse(composition(X_61,converse(X0))))
| composition(X0,converse(join(X_61,one))) = join(X0,composition(X0,converse(X_61))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(composition(X_61,converse(X0)))),join(X0,composition(X0,converse(X_61)))) )],[refute_0_3016,refute_0_3017]) ).
cnf(refute_0_3019,plain,
( converse(composition(join(X_61,one),converse(X0))) != join(X0,converse(composition(X_61,converse(X0))))
| composition(X0,converse(join(X_61,one))) = join(X0,composition(X0,converse(X_61))) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(X_61,one))),join(X0,converse(composition(X_61,converse(X0))))) )],[refute_0_3011,refute_0_3018]) ).
cnf(refute_0_3020,plain,
composition(X0,converse(join(X_61,one))) = join(X0,composition(X0,converse(X_61))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_61,one),converse(X0))),join(X0,converse(composition(X_61,converse(X0))))) )],[refute_0_3008,refute_0_3019]) ).
cnf(refute_0_3021,plain,
composition(X_805,converse(join(converse(X0),one))) = join(X_805,composition(X_805,converse(converse(X0)))),
inference(subst,[],[refute_0_3020:[bind(X0,$fot(X_805)),bind(X_61,$fot(converse(X0)))]]) ).
cnf(refute_0_3022,plain,
( composition(X_805,converse(join(converse(X0),one))) != join(X_805,composition(X_805,converse(converse(X0))))
| converse(converse(X0)) != X0
| composition(X_805,converse(join(converse(X0),one))) = join(X_805,composition(X_805,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_805,converse(join(converse(X0),one))),join(X_805,composition(X_805,converse(converse(X0))))) ),[1,1,1],$fot(X0)]]) ).
cnf(refute_0_3023,plain,
( composition(X_805,converse(join(converse(X0),one))) != join(X_805,composition(X_805,converse(converse(X0))))
| composition(X_805,converse(join(converse(X0),one))) = join(X_805,composition(X_805,X0)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_95,refute_0_3022]) ).
cnf(refute_0_3024,plain,
composition(X_805,converse(join(converse(X0),one))) = join(X_805,composition(X_805,X0)),
inference(resolve,[$cnf( $equal(composition(X_805,converse(join(converse(X0),one))),join(X_805,composition(X_805,converse(converse(X0))))) )],[refute_0_3021,refute_0_3023]) ).
cnf(refute_0_3025,plain,
join(converse(one),X0) = join(converse(one),X0),
introduced(tautology,[refl,[$fot(join(converse(one),X0))]]) ).
cnf(refute_0_3026,plain,
( converse(one) != one
| join(converse(one),X0) != join(converse(one),X0)
| join(converse(one),X0) = join(one,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X0),join(converse(one),X0)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3027,plain,
( converse(one) != one
| join(converse(one),X0) = join(one,X0) ),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(converse(one),X0)) )],[refute_0_3025,refute_0_3026]) ).
cnf(refute_0_3028,plain,
join(converse(one),X0) = join(one,X0),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_117,refute_0_3027]) ).
cnf(refute_0_3029,plain,
converse(join(one,converse(X0))) = join(converse(one),X0),
inference(subst,[],[refute_0_859:[bind(X_25,$fot(one))]]) ).
cnf(refute_0_3030,plain,
( converse(join(one,converse(X0))) != join(converse(one),X0)
| join(converse(one),X0) != join(one,X0)
| converse(join(one,converse(X0))) = join(one,X0) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(one,converse(X0))))),bind(Y,$fot(join(converse(one),X0))),bind(Z,$fot(join(one,X0)))]]) ).
cnf(refute_0_3031,plain,
( join(converse(one),X0) != join(one,X0)
| converse(join(one,converse(X0))) = join(one,X0) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(converse(one),X0)) )],[refute_0_3029,refute_0_3030]) ).
cnf(refute_0_3032,plain,
converse(join(one,converse(X0))) = join(one,X0),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(one,X0)) )],[refute_0_3028,refute_0_3031]) ).
cnf(refute_0_3033,plain,
composition(X_805,converse(join(one,converse(X0)))) = composition(X_805,converse(join(one,converse(X0)))),
introduced(tautology,[refl,[$fot(composition(X_805,converse(join(one,converse(X0)))))]]) ).
cnf(refute_0_3034,plain,
( composition(X_805,converse(join(one,converse(X0)))) != composition(X_805,converse(join(one,converse(X0))))
| converse(join(one,converse(X0))) != join(one,X0)
| composition(X_805,converse(join(one,converse(X0)))) = composition(X_805,join(one,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_805,converse(join(one,converse(X0)))),composition(X_805,converse(join(one,converse(X0))))) ),[1,1],$fot(join(one,X0))]]) ).
cnf(refute_0_3035,plain,
( converse(join(one,converse(X0))) != join(one,X0)
| composition(X_805,converse(join(one,converse(X0)))) = composition(X_805,join(one,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_805,converse(join(one,converse(X0)))),composition(X_805,converse(join(one,converse(X0))))) )],[refute_0_3033,refute_0_3034]) ).
cnf(refute_0_3036,plain,
composition(X_805,converse(join(one,converse(X0)))) = composition(X_805,join(one,X0)),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(one,X0)) )],[refute_0_3032,refute_0_3035]) ).
cnf(refute_0_3037,plain,
composition(X_805,converse(join(X_806,one))) = join(X_805,composition(X_805,converse(X_806))),
inference(subst,[],[refute_0_3020:[bind(X0,$fot(X_805)),bind(X_61,$fot(X_806))]]) ).
cnf(refute_0_3038,plain,
join(one,X_806) = join(X_806,one),
inference(subst,[],[refute_0_3:[bind(X0,$fot(one)),bind(X1,$fot(X_806))]]) ).
cnf(refute_0_3039,plain,
( join(one,X_806) != join(X_806,one)
| join(X_806,one) = join(one,X_806) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,X_806))),bind(Y,$fot(join(X_806,one)))]]) ).
cnf(refute_0_3040,plain,
join(X_806,one) = join(one,X_806),
inference(resolve,[$cnf( $equal(join(one,X_806),join(X_806,one)) )],[refute_0_3038,refute_0_3039]) ).
cnf(refute_0_3041,plain,
( composition(X_805,converse(join(X_806,one))) != join(X_805,composition(X_805,converse(X_806)))
| join(X_806,one) != join(one,X_806)
| composition(X_805,converse(join(one,X_806))) = join(X_805,composition(X_805,converse(X_806))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_805,converse(join(X_806,one))),join(X_805,composition(X_805,converse(X_806)))) ),[0,1,0],$fot(join(one,X_806))]]) ).
cnf(refute_0_3042,plain,
( composition(X_805,converse(join(X_806,one))) != join(X_805,composition(X_805,converse(X_806)))
| composition(X_805,converse(join(one,X_806))) = join(X_805,composition(X_805,converse(X_806))) ),
inference(resolve,[$cnf( $equal(join(X_806,one),join(one,X_806)) )],[refute_0_3040,refute_0_3041]) ).
cnf(refute_0_3043,plain,
composition(X_805,converse(join(one,X_806))) = join(X_805,composition(X_805,converse(X_806))),
inference(resolve,[$cnf( $equal(composition(X_805,converse(join(X_806,one))),join(X_805,composition(X_805,converse(X_806)))) )],[refute_0_3037,refute_0_3042]) ).
cnf(refute_0_3044,plain,
( composition(X0,converse(join(X_61,one))) != join(X0,composition(X0,converse(X_61)))
| join(X0,composition(X0,converse(X_61))) = composition(X0,converse(join(X_61,one))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(X0,converse(join(X_61,one))))),bind(Y,$fot(join(X0,composition(X0,converse(X_61)))))]]) ).
cnf(refute_0_3045,plain,
join(X0,composition(X0,converse(X_61))) = composition(X0,converse(join(X_61,one))),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(X_61,one))),join(X0,composition(X0,converse(X_61)))) )],[refute_0_3020,refute_0_3044]) ).
cnf(refute_0_3046,plain,
join(X_805,composition(X_805,converse(X_806))) = composition(X_805,converse(join(X_806,one))),
inference(subst,[],[refute_0_3045:[bind(X0,$fot(X_805)),bind(X_61,$fot(X_806))]]) ).
cnf(refute_0_3047,plain,
( composition(X_805,converse(join(one,X_806))) != join(X_805,composition(X_805,converse(X_806)))
| join(X_805,composition(X_805,converse(X_806))) != composition(X_805,converse(join(X_806,one)))
| composition(X_805,converse(join(one,X_806))) = composition(X_805,converse(join(X_806,one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_805,converse(join(one,X_806))),composition(X_805,converse(join(X_806,one)))) ),[0],$fot(join(X_805,composition(X_805,converse(X_806))))]]) ).
cnf(refute_0_3048,plain,
( composition(X_805,converse(join(one,X_806))) != join(X_805,composition(X_805,converse(X_806)))
| composition(X_805,converse(join(one,X_806))) = composition(X_805,converse(join(X_806,one))) ),
inference(resolve,[$cnf( $equal(join(X_805,composition(X_805,converse(X_806))),composition(X_805,converse(join(X_806,one)))) )],[refute_0_3046,refute_0_3047]) ).
cnf(refute_0_3049,plain,
composition(X_805,converse(join(one,X_806))) = composition(X_805,converse(join(X_806,one))),
inference(resolve,[$cnf( $equal(composition(X_805,converse(join(one,X_806))),join(X_805,composition(X_805,converse(X_806)))) )],[refute_0_3043,refute_0_3048]) ).
cnf(refute_0_3050,plain,
( composition(X_805,converse(join(one,X_806))) != composition(X_805,converse(join(X_806,one)))
| composition(X_805,converse(join(X_806,one))) = composition(X_805,converse(join(one,X_806))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(X_805,converse(join(one,X_806))))),bind(Y,$fot(composition(X_805,converse(join(X_806,one)))))]]) ).
cnf(refute_0_3051,plain,
composition(X_805,converse(join(X_806,one))) = composition(X_805,converse(join(one,X_806))),
inference(resolve,[$cnf( $equal(composition(X_805,converse(join(one,X_806))),composition(X_805,converse(join(X_806,one)))) )],[refute_0_3049,refute_0_3050]) ).
cnf(refute_0_3052,plain,
composition(X_805,converse(join(converse(X0),one))) = composition(X_805,converse(join(one,converse(X0)))),
inference(subst,[],[refute_0_3051:[bind(X_806,$fot(converse(X0)))]]) ).
cnf(refute_0_3053,plain,
( composition(X_805,converse(join(converse(X0),one))) != composition(X_805,converse(join(one,converse(X0))))
| composition(X_805,converse(join(one,converse(X0)))) != composition(X_805,join(one,X0))
| composition(X_805,converse(join(converse(X0),one))) = composition(X_805,join(one,X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(X_805,converse(join(converse(X0),one))))),bind(Y,$fot(composition(X_805,converse(join(one,converse(X0)))))),bind(Z,$fot(composition(X_805,join(one,X0))))]]) ).
cnf(refute_0_3054,plain,
( composition(X_805,converse(join(one,converse(X0)))) != composition(X_805,join(one,X0))
| composition(X_805,converse(join(converse(X0),one))) = composition(X_805,join(one,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_805,converse(join(converse(X0),one))),composition(X_805,converse(join(one,converse(X0))))) )],[refute_0_3052,refute_0_3053]) ).
cnf(refute_0_3055,plain,
composition(X_805,converse(join(converse(X0),one))) = composition(X_805,join(one,X0)),
inference(resolve,[$cnf( $equal(composition(X_805,converse(join(one,converse(X0)))),composition(X_805,join(one,X0))) )],[refute_0_3036,refute_0_3054]) ).
cnf(refute_0_3056,plain,
( composition(X_805,converse(join(converse(X0),one))) != composition(X_805,join(one,X0))
| composition(X_805,converse(join(converse(X0),one))) != join(X_805,composition(X_805,X0))
| composition(X_805,join(one,X0)) = join(X_805,composition(X_805,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_805,converse(join(converse(X0),one))),join(X_805,composition(X_805,X0))) ),[0],$fot(composition(X_805,join(one,X0)))]]) ).
cnf(refute_0_3057,plain,
( composition(X_805,converse(join(converse(X0),one))) != join(X_805,composition(X_805,X0))
| composition(X_805,join(one,X0)) = join(X_805,composition(X_805,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_805,converse(join(converse(X0),one))),composition(X_805,join(one,X0))) )],[refute_0_3055,refute_0_3056]) ).
cnf(refute_0_3058,plain,
composition(X_805,join(one,X0)) = join(X_805,composition(X_805,X0)),
inference(resolve,[$cnf( $equal(composition(X_805,converse(join(converse(X0),one))),join(X_805,composition(X_805,X0))) )],[refute_0_3024,refute_0_3057]) ).
cnf(refute_0_3059,plain,
( composition(X_805,join(one,X0)) != join(X_805,composition(X_805,X0))
| join(X_805,composition(X_805,X0)) = composition(X_805,join(one,X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(X_805,join(one,X0)))),bind(Y,$fot(join(X_805,composition(X_805,X0))))]]) ).
cnf(refute_0_3060,plain,
join(X_805,composition(X_805,X0)) = composition(X_805,join(one,X0)),
inference(resolve,[$cnf( $equal(composition(X_805,join(one,X0)),join(X_805,composition(X_805,X0))) )],[refute_0_3058,refute_0_3059]) ).
cnf(refute_0_3061,plain,
join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_3060:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_805,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3062,plain,
composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top) = composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top),
introduced(tautology,[refl,[$fot(composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_3063,plain,
( composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top) != composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top)
| join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0))
| composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top) = composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top),composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top)) ),[1,0],$fot(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3064,plain,
( join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0))
| composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top) = composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top),composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top)) )],[refute_0_3062,refute_0_3063]) ).
cnf(refute_0_3065,plain,
composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top) = composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0))) )],[refute_0_3061,refute_0_3064]) ).
cnf(refute_0_3066,plain,
( composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top) != composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top)
| composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top))),bind(Y,$fot(composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top))),bind(Z,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3067,plain,
( composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top),composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top)) )],[refute_0_3065,refute_0_3066]) ).
cnf(refute_0_3068,plain,
composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),top),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_3001,refute_0_3067]) ).
cnf(refute_0_3069,plain,
composition(join(converse(X_12),composition(X_683,X_684)),top) = join(composition(converse(X_12),top),composition(X_683,composition(X_684,top))),
inference(subst,[],[refute_0_2581:[bind(X0,$fot(X_683)),bind(X1,$fot(X_684)),bind(X_58,$fot(converse(X_12))),bind(X_60,$fot(top))]]) ).
cnf(refute_0_3070,plain,
( composition(converse(X_12),top) != converse(composition(top,X_12))
| composition(join(converse(X_12),composition(X_683,X_684)),top) != join(composition(converse(X_12),top),composition(X_683,composition(X_684,top)))
| composition(join(converse(X_12),composition(X_683,X_684)),top) = join(converse(composition(top,X_12)),composition(X_683,composition(X_684,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X_12),composition(X_683,X_684)),top),join(composition(converse(X_12),top),composition(X_683,composition(X_684,top)))) ),[1,0],$fot(converse(composition(top,X_12)))]]) ).
cnf(refute_0_3071,plain,
( composition(join(converse(X_12),composition(X_683,X_684)),top) != join(composition(converse(X_12),top),composition(X_683,composition(X_684,top)))
| composition(join(converse(X_12),composition(X_683,X_684)),top) = join(converse(composition(top,X_12)),composition(X_683,composition(X_684,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_12),top),converse(composition(top,X_12))) )],[refute_0_2594,refute_0_3070]) ).
cnf(refute_0_3072,plain,
composition(join(converse(X_12),composition(X_683,X_684)),top) = join(converse(composition(top,X_12)),composition(X_683,composition(X_684,top))),
inference(resolve,[$cnf( $equal(composition(join(converse(X_12),composition(X_683,X_684)),top),join(composition(converse(X_12),top),composition(X_683,composition(X_684,top)))) )],[refute_0_3069,refute_0_3071]) ).
cnf(refute_0_3073,plain,
( composition(join(converse(X_12),composition(X_683,X_684)),top) != join(converse(composition(top,X_12)),composition(X_683,composition(X_684,top)))
| join(converse(composition(top,X_12)),composition(X_683,composition(X_684,top))) = composition(join(converse(X_12),composition(X_683,X_684)),top) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(converse(X_12),composition(X_683,X_684)),top))),bind(Y,$fot(join(converse(composition(top,X_12)),composition(X_683,composition(X_684,top)))))]]) ).
cnf(refute_0_3074,plain,
join(converse(composition(top,X_12)),composition(X_683,composition(X_684,top))) = composition(join(converse(X_12),composition(X_683,X_684)),top),
inference(resolve,[$cnf( $equal(composition(join(converse(X_12),composition(X_683,X_684)),top),join(converse(composition(top,X_12)),composition(X_683,composition(X_684,top)))) )],[refute_0_3072,refute_0_3073]) ).
cnf(refute_0_3075,plain,
join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_3074:[bind(X_12,$fot(skolemFOFtoCNF_X0)),bind(X_683,$fot(converse(skolemFOFtoCNF_X0))),bind(X_684,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3076,plain,
( composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top) != converse(composition(top,skolemFOFtoCNF_X0))
| join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) != composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top)
| join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top))),bind(Z,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3077,plain,
( composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top) != converse(composition(top,skolemFOFtoCNF_X0))
| join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top)) )],[refute_0_3075,refute_0_3076]) ).
cnf(refute_0_3078,plain,
join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),top),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_3068,refute_0_3077]) ).
cnf(refute_0_3079,plain,
complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) = composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_628:[bind(X1,$fot(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_3080,plain,
join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),
introduced(tautology,[refl,[$fot(join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_3081,plain,
( complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) != composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))
| join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) != join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))
| join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))) ),[1,1],$fot(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_3082,plain,
( complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) != composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))
| join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_3080,refute_0_3081]) ).
cnf(refute_0_3083,plain,
join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_3079,refute_0_3082]) ).
cnf(refute_0_3084,plain,
composition(converse(skolemFOFtoCNF_X0),complement(zero)) = composition(converse(skolemFOFtoCNF_X0),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(skolemFOFtoCNF_X0),complement(zero)))]]) ).
cnf(refute_0_3085,plain,
( complement(zero) != top
| composition(converse(skolemFOFtoCNF_X0),complement(zero)) != composition(converse(skolemFOFtoCNF_X0),complement(zero))
| composition(converse(skolemFOFtoCNF_X0),complement(zero)) = composition(converse(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(zero)),composition(converse(skolemFOFtoCNF_X0),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3086,plain,
( complement(zero) != top
| composition(converse(skolemFOFtoCNF_X0),complement(zero)) = composition(converse(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(zero)),composition(converse(skolemFOFtoCNF_X0),complement(zero))) )],[refute_0_3084,refute_0_3085]) ).
cnf(refute_0_3087,plain,
composition(converse(skolemFOFtoCNF_X0),complement(zero)) = composition(converse(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1622,refute_0_3086]) ).
cnf(refute_0_3088,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(zero)) != composition(converse(skolemFOFtoCNF_X0),top)
| composition(converse(skolemFOFtoCNF_X0),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(converse(skolemFOFtoCNF_X0),complement(zero)) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0),complement(zero)))),bind(Y,$fot(composition(converse(skolemFOFtoCNF_X0),top))),bind(Z,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3089,plain,
( composition(converse(skolemFOFtoCNF_X0),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(converse(skolemFOFtoCNF_X0),complement(zero)) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(zero)),composition(converse(skolemFOFtoCNF_X0),top)) )],[refute_0_3087,refute_0_3088]) ).
cnf(refute_0_3090,plain,
composition(converse(skolemFOFtoCNF_X0),complement(zero)) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),top),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2982,refute_0_3089]) ).
cnf(refute_0_3091,plain,
join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),
introduced(tautology,[refl,[$fot(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_3092,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(zero)) != converse(composition(top,skolemFOFtoCNF_X0))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) != join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))) ),[1,0],$fot(converse(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3093,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(zero)) != converse(composition(top,skolemFOFtoCNF_X0))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_3091,refute_0_3092]) ).
cnf(refute_0_3094,plain,
join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(zero)),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_3090,refute_0_3093]) ).
cnf(refute_0_3095,plain,
( join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) != join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))
| join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) != join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),bind(Y,$fot(join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),bind(Z,$fot(join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_3096,plain,
( join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) != join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_3094,refute_0_3095]) ).
cnf(refute_0_3097,plain,
join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_3083,refute_0_3096]) ).
cnf(refute_0_3098,plain,
( join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) != join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) != converse(composition(top,skolemFOFtoCNF_X0))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),bind(Y,$fot(join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3099,plain,
( join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) != converse(composition(top,skolemFOFtoCNF_X0))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_3097,refute_0_3098]) ).
cnf(refute_0_3100,plain,
join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_3078,refute_0_3099]) ).
cnf(refute_0_3101,plain,
join(composition(X_58,X_60),join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60),X2)) = join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2),
inference(subst,[],[refute_0_2522:[bind(X_59,$fot(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))))]]) ).
cnf(refute_0_3102,plain,
converse(composition(converse(X0),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0),
inference(subst,[],[refute_0_98:[bind(X_12,$fot(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3103,plain,
join(zero,composition(converse(X_64),complement(composition(X_64,top)))) = composition(converse(X_64),complement(composition(X_64,top))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(composition(converse(X_64),complement(composition(X_64,top)))))]]) ).
cnf(refute_0_3104,plain,
( join(zero,composition(converse(X_64),complement(composition(X_64,top)))) != composition(converse(X_64),complement(composition(X_64,top)))
| join(zero,composition(converse(X_64),complement(composition(X_64,top)))) != zero
| composition(converse(X_64),complement(composition(X_64,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_64),complement(composition(X_64,top)))),zero) ),[0],$fot(composition(converse(X_64),complement(composition(X_64,top))))]]) ).
cnf(refute_0_3105,plain,
( join(zero,composition(converse(X_64),complement(composition(X_64,top)))) != zero
| composition(converse(X_64),complement(composition(X_64,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_64),complement(composition(X_64,top)))),composition(converse(X_64),complement(composition(X_64,top)))) )],[refute_0_3103,refute_0_3104]) ).
cnf(refute_0_3106,plain,
composition(converse(X_64),complement(composition(X_64,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_64),complement(composition(X_64,top)))),zero) )],[refute_0_2043,refute_0_3105]) ).
cnf(refute_0_3107,plain,
composition(converse(composition(X_139,composition(X_140,converse(X_141)))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) = zero,
inference(subst,[],[refute_0_3106:[bind(X_64,$fot(composition(X_139,composition(X_140,converse(X_141)))))]]) ).
cnf(refute_0_3108,plain,
converse(composition(X_11,converse(composition(X_18,converse(X_17))))) = composition(composition(X_18,converse(X_17)),converse(X_11)),
inference(subst,[],[refute_0_1175:[bind(X0,$fot(composition(X_18,converse(X_17))))]]) ).
cnf(refute_0_3109,plain,
converse(composition(X_18,converse(X_17))) = composition(X_17,converse(X_18)),
inference(subst,[],[refute_0_1175:[bind(X0,$fot(X_17)),bind(X_11,$fot(X_18))]]) ).
cnf(refute_0_3110,plain,
( converse(composition(X_11,converse(composition(X_18,converse(X_17))))) != composition(composition(X_18,converse(X_17)),converse(X_11))
| converse(composition(X_18,converse(X_17))) != composition(X_17,converse(X_18))
| converse(composition(X_11,composition(X_17,converse(X_18)))) = composition(composition(X_18,converse(X_17)),converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,converse(composition(X_18,converse(X_17))))),composition(composition(X_18,converse(X_17)),converse(X_11))) ),[0,0,1],$fot(composition(X_17,converse(X_18)))]]) ).
cnf(refute_0_3111,plain,
( converse(composition(X_11,converse(composition(X_18,converse(X_17))))) != composition(composition(X_18,converse(X_17)),converse(X_11))
| converse(composition(X_11,composition(X_17,converse(X_18)))) = composition(composition(X_18,converse(X_17)),converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_18,converse(X_17))),composition(X_17,converse(X_18))) )],[refute_0_3109,refute_0_3110]) ).
cnf(refute_0_3112,plain,
converse(composition(X_11,composition(X_17,converse(X_18)))) = composition(composition(X_18,converse(X_17)),converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,converse(composition(X_18,converse(X_17))))),composition(composition(X_18,converse(X_17)),converse(X_11))) )],[refute_0_3108,refute_0_3111]) ).
cnf(refute_0_3113,plain,
composition(converse(X_17),converse(X_11)) = converse(composition(X_11,X_17)),
inference(subst,[],[refute_0_2672:[bind(X0,$fot(X_11)),bind(X1,$fot(X_17))]]) ).
cnf(refute_0_3114,plain,
composition(X_18,composition(converse(X_17),converse(X_11))) = composition(X_18,composition(converse(X_17),converse(X_11))),
introduced(tautology,[refl,[$fot(composition(X_18,composition(converse(X_17),converse(X_11))))]]) ).
cnf(refute_0_3115,plain,
( composition(X_18,composition(converse(X_17),converse(X_11))) != composition(X_18,composition(converse(X_17),converse(X_11)))
| composition(converse(X_17),converse(X_11)) != converse(composition(X_11,X_17))
| composition(X_18,composition(converse(X_17),converse(X_11))) = composition(X_18,converse(composition(X_11,X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_18,composition(converse(X_17),converse(X_11))),composition(X_18,composition(converse(X_17),converse(X_11)))) ),[1,1],$fot(converse(composition(X_11,X_17)))]]) ).
cnf(refute_0_3116,plain,
( composition(converse(X_17),converse(X_11)) != converse(composition(X_11,X_17))
| composition(X_18,composition(converse(X_17),converse(X_11))) = composition(X_18,converse(composition(X_11,X_17))) ),
inference(resolve,[$cnf( $equal(composition(X_18,composition(converse(X_17),converse(X_11))),composition(X_18,composition(converse(X_17),converse(X_11)))) )],[refute_0_3114,refute_0_3115]) ).
cnf(refute_0_3117,plain,
composition(X_18,composition(converse(X_17),converse(X_11))) = composition(X_18,converse(composition(X_11,X_17))),
inference(resolve,[$cnf( $equal(composition(converse(X_17),converse(X_11)),converse(composition(X_11,X_17))) )],[refute_0_3113,refute_0_3116]) ).
cnf(refute_0_3118,plain,
composition(composition(X_18,converse(X_17)),converse(X_11)) = composition(X_18,composition(converse(X_17),converse(X_11))),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(X_18)),bind(X1,$fot(converse(X_17))),bind(X2,$fot(converse(X_11)))]]) ).
cnf(refute_0_3119,plain,
( composition(X_18,composition(converse(X_17),converse(X_11))) != composition(X_18,converse(composition(X_11,X_17)))
| composition(composition(X_18,converse(X_17)),converse(X_11)) != composition(X_18,composition(converse(X_17),converse(X_11)))
| composition(composition(X_18,converse(X_17)),converse(X_11)) = composition(X_18,converse(composition(X_11,X_17))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(composition(X_18,converse(X_17)),converse(X_11)))),bind(Y,$fot(composition(X_18,composition(converse(X_17),converse(X_11))))),bind(Z,$fot(composition(X_18,converse(composition(X_11,X_17)))))]]) ).
cnf(refute_0_3120,plain,
( composition(X_18,composition(converse(X_17),converse(X_11))) != composition(X_18,converse(composition(X_11,X_17)))
| composition(composition(X_18,converse(X_17)),converse(X_11)) = composition(X_18,converse(composition(X_11,X_17))) ),
inference(resolve,[$cnf( $equal(composition(composition(X_18,converse(X_17)),converse(X_11)),composition(X_18,composition(converse(X_17),converse(X_11)))) )],[refute_0_3118,refute_0_3119]) ).
cnf(refute_0_3121,plain,
composition(composition(X_18,converse(X_17)),converse(X_11)) = composition(X_18,converse(composition(X_11,X_17))),
inference(resolve,[$cnf( $equal(composition(X_18,composition(converse(X_17),converse(X_11))),composition(X_18,converse(composition(X_11,X_17)))) )],[refute_0_3117,refute_0_3120]) ).
cnf(refute_0_3122,plain,
( composition(composition(X_18,converse(X_17)),converse(X_11)) != composition(X_18,converse(composition(X_11,X_17)))
| converse(composition(X_11,composition(X_17,converse(X_18)))) != composition(composition(X_18,converse(X_17)),converse(X_11))
| converse(composition(X_11,composition(X_17,converse(X_18)))) = composition(X_18,converse(composition(X_11,X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,composition(X_17,converse(X_18)))),composition(composition(X_18,converse(X_17)),converse(X_11))) ),[1],$fot(composition(X_18,converse(composition(X_11,X_17))))]]) ).
cnf(refute_0_3123,plain,
( converse(composition(X_11,composition(X_17,converse(X_18)))) != composition(composition(X_18,converse(X_17)),converse(X_11))
| converse(composition(X_11,composition(X_17,converse(X_18)))) = composition(X_18,converse(composition(X_11,X_17))) ),
inference(resolve,[$cnf( $equal(composition(composition(X_18,converse(X_17)),converse(X_11)),composition(X_18,converse(composition(X_11,X_17)))) )],[refute_0_3121,refute_0_3122]) ).
cnf(refute_0_3124,plain,
converse(composition(X_11,composition(X_17,converse(X_18)))) = composition(X_18,converse(composition(X_11,X_17))),
inference(resolve,[$cnf( $equal(converse(composition(X_11,composition(X_17,converse(X_18)))),composition(composition(X_18,converse(X_17)),converse(X_11))) )],[refute_0_3112,refute_0_3123]) ).
cnf(refute_0_3125,plain,
converse(composition(X_139,composition(X_140,converse(X_141)))) = composition(X_141,converse(composition(X_139,X_140))),
inference(subst,[],[refute_0_3124:[bind(X_11,$fot(X_139)),bind(X_17,$fot(X_140)),bind(X_18,$fot(X_141))]]) ).
cnf(refute_0_3126,plain,
( composition(converse(composition(X_139,composition(X_140,converse(X_141)))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) != zero
| converse(composition(X_139,composition(X_140,converse(X_141)))) != composition(X_141,converse(composition(X_139,X_140)))
| composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_139,composition(X_140,converse(X_141)))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))),zero) ),[0,0],$fot(composition(X_141,converse(composition(X_139,X_140))))]]) ).
cnf(refute_0_3127,plain,
( composition(converse(composition(X_139,composition(X_140,converse(X_141)))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) != zero
| composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(X_139,composition(X_140,converse(X_141)))),composition(X_141,converse(composition(X_139,X_140)))) )],[refute_0_3125,refute_0_3126]) ).
cnf(refute_0_3128,plain,
composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(X_139,composition(X_140,converse(X_141)))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))),zero) )],[refute_0_3107,refute_0_3127]) ).
cnf(refute_0_3129,plain,
composition(converse(X_141),top) = converse(composition(top,X_141)),
inference(subst,[],[refute_0_2594:[bind(X_12,$fot(X_141))]]) ).
cnf(refute_0_3130,plain,
composition(X_140,composition(converse(X_141),top)) = composition(X_140,composition(converse(X_141),top)),
introduced(tautology,[refl,[$fot(composition(X_140,composition(converse(X_141),top)))]]) ).
cnf(refute_0_3131,plain,
( composition(X_140,composition(converse(X_141),top)) != composition(X_140,composition(converse(X_141),top))
| composition(converse(X_141),top) != converse(composition(top,X_141))
| composition(X_140,composition(converse(X_141),top)) = composition(X_140,converse(composition(top,X_141))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_140,composition(converse(X_141),top)),composition(X_140,composition(converse(X_141),top))) ),[1,1],$fot(converse(composition(top,X_141)))]]) ).
cnf(refute_0_3132,plain,
( composition(converse(X_141),top) != converse(composition(top,X_141))
| composition(X_140,composition(converse(X_141),top)) = composition(X_140,converse(composition(top,X_141))) ),
inference(resolve,[$cnf( $equal(composition(X_140,composition(converse(X_141),top)),composition(X_140,composition(converse(X_141),top))) )],[refute_0_3130,refute_0_3131]) ).
cnf(refute_0_3133,plain,
composition(X_140,composition(converse(X_141),top)) = composition(X_140,converse(composition(top,X_141))),
inference(resolve,[$cnf( $equal(composition(converse(X_141),top),converse(composition(top,X_141))) )],[refute_0_3129,refute_0_3132]) ).
cnf(refute_0_3134,plain,
composition(composition(X_140,converse(X_141)),top) = composition(X_140,composition(converse(X_141),top)),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(X_140)),bind(X1,$fot(converse(X_141))),bind(X2,$fot(top))]]) ).
cnf(refute_0_3135,plain,
( composition(X_140,composition(converse(X_141),top)) != composition(X_140,converse(composition(top,X_141)))
| composition(composition(X_140,converse(X_141)),top) != composition(X_140,composition(converse(X_141),top))
| composition(composition(X_140,converse(X_141)),top) = composition(X_140,converse(composition(top,X_141))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(composition(X_140,converse(X_141)),top))),bind(Y,$fot(composition(X_140,composition(converse(X_141),top)))),bind(Z,$fot(composition(X_140,converse(composition(top,X_141)))))]]) ).
cnf(refute_0_3136,plain,
( composition(X_140,composition(converse(X_141),top)) != composition(X_140,converse(composition(top,X_141)))
| composition(composition(X_140,converse(X_141)),top) = composition(X_140,converse(composition(top,X_141))) ),
inference(resolve,[$cnf( $equal(composition(composition(X_140,converse(X_141)),top),composition(X_140,composition(converse(X_141),top))) )],[refute_0_3134,refute_0_3135]) ).
cnf(refute_0_3137,plain,
composition(composition(X_140,converse(X_141)),top) = composition(X_140,converse(composition(top,X_141))),
inference(resolve,[$cnf( $equal(composition(X_140,composition(converse(X_141),top)),composition(X_140,converse(composition(top,X_141)))) )],[refute_0_3133,refute_0_3136]) ).
cnf(refute_0_3138,plain,
composition(X_139,composition(composition(X_140,converse(X_141)),top)) = composition(X_139,composition(composition(X_140,converse(X_141)),top)),
introduced(tautology,[refl,[$fot(composition(X_139,composition(composition(X_140,converse(X_141)),top)))]]) ).
cnf(refute_0_3139,plain,
( composition(X_139,composition(composition(X_140,converse(X_141)),top)) != composition(X_139,composition(composition(X_140,converse(X_141)),top))
| composition(composition(X_140,converse(X_141)),top) != composition(X_140,converse(composition(top,X_141)))
| composition(X_139,composition(composition(X_140,converse(X_141)),top)) = composition(X_139,composition(X_140,converse(composition(top,X_141)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_139,composition(composition(X_140,converse(X_141)),top)),composition(X_139,composition(composition(X_140,converse(X_141)),top))) ),[1,1],$fot(composition(X_140,converse(composition(top,X_141))))]]) ).
cnf(refute_0_3140,plain,
( composition(composition(X_140,converse(X_141)),top) != composition(X_140,converse(composition(top,X_141)))
| composition(X_139,composition(composition(X_140,converse(X_141)),top)) = composition(X_139,composition(X_140,converse(composition(top,X_141)))) ),
inference(resolve,[$cnf( $equal(composition(X_139,composition(composition(X_140,converse(X_141)),top)),composition(X_139,composition(composition(X_140,converse(X_141)),top))) )],[refute_0_3138,refute_0_3139]) ).
cnf(refute_0_3141,plain,
composition(X_139,composition(composition(X_140,converse(X_141)),top)) = composition(X_139,composition(X_140,converse(composition(top,X_141)))),
inference(resolve,[$cnf( $equal(composition(composition(X_140,converse(X_141)),top),composition(X_140,converse(composition(top,X_141)))) )],[refute_0_3137,refute_0_3140]) ).
cnf(refute_0_3142,plain,
composition(composition(X_139,composition(X_140,converse(X_141))),top) = composition(X_139,composition(composition(X_140,converse(X_141)),top)),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(X_139)),bind(X1,$fot(composition(X_140,converse(X_141)))),bind(X2,$fot(top))]]) ).
cnf(refute_0_3143,plain,
( composition(X_139,composition(composition(X_140,converse(X_141)),top)) != composition(X_139,composition(X_140,converse(composition(top,X_141))))
| composition(composition(X_139,composition(X_140,converse(X_141))),top) != composition(X_139,composition(composition(X_140,converse(X_141)),top))
| composition(composition(X_139,composition(X_140,converse(X_141))),top) = composition(X_139,composition(X_140,converse(composition(top,X_141)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(composition(X_139,composition(X_140,converse(X_141))),top))),bind(Y,$fot(composition(X_139,composition(composition(X_140,converse(X_141)),top)))),bind(Z,$fot(composition(X_139,composition(X_140,converse(composition(top,X_141))))))]]) ).
cnf(refute_0_3144,plain,
( composition(X_139,composition(composition(X_140,converse(X_141)),top)) != composition(X_139,composition(X_140,converse(composition(top,X_141))))
| composition(composition(X_139,composition(X_140,converse(X_141))),top) = composition(X_139,composition(X_140,converse(composition(top,X_141)))) ),
inference(resolve,[$cnf( $equal(composition(composition(X_139,composition(X_140,converse(X_141))),top),composition(X_139,composition(composition(X_140,converse(X_141)),top))) )],[refute_0_3142,refute_0_3143]) ).
cnf(refute_0_3145,plain,
composition(composition(X_139,composition(X_140,converse(X_141))),top) = composition(X_139,composition(X_140,converse(composition(top,X_141)))),
inference(resolve,[$cnf( $equal(composition(X_139,composition(composition(X_140,converse(X_141)),top)),composition(X_139,composition(X_140,converse(composition(top,X_141))))) )],[refute_0_3141,refute_0_3144]) ).
cnf(refute_0_3146,plain,
complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)) = complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)),
introduced(tautology,[refl,[$fot(complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))]]) ).
cnf(refute_0_3147,plain,
( complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)) != complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))
| composition(composition(X_139,composition(X_140,converse(X_141))),top) != composition(X_139,composition(X_140,converse(composition(top,X_141))))
| complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)) = complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) ),[1,0],$fot(composition(X_139,composition(X_140,converse(composition(top,X_141)))))]]) ).
cnf(refute_0_3148,plain,
( composition(composition(X_139,composition(X_140,converse(X_141))),top) != composition(X_139,composition(X_140,converse(composition(top,X_141))))
| complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)) = complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))) ),
inference(resolve,[$cnf( $equal(complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) )],[refute_0_3146,refute_0_3147]) ).
cnf(refute_0_3149,plain,
complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)) = complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))),
inference(resolve,[$cnf( $equal(composition(composition(X_139,composition(X_140,converse(X_141))),top),composition(X_139,composition(X_140,converse(composition(top,X_141))))) )],[refute_0_3145,refute_0_3148]) ).
cnf(refute_0_3150,plain,
composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) = composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))),
introduced(tautology,[refl,[$fot(composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))))]]) ).
cnf(refute_0_3151,plain,
( complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)) != complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))
| composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) != composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))
| composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) = composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))),composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))) ),[1,1],$fot(complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))]]) ).
cnf(refute_0_3152,plain,
( complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)) != complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))
| composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) = composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))),composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))) )],[refute_0_3150,refute_0_3151]) ).
cnf(refute_0_3153,plain,
composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) = composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))),
inference(resolve,[$cnf( $equal(complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))) )],[refute_0_3149,refute_0_3152]) ).
cnf(refute_0_3154,plain,
composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))) = composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))),
introduced(tautology,[refl,[$fot(composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))))]]) ).
cnf(refute_0_3155,plain,
( composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))) != composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))))
| composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) != composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))
| composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))) = composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))),composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))))) ),[1,1],$fot(composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))))]]) ).
cnf(refute_0_3156,plain,
( composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) != composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))
| composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))) = composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))) ),
inference(resolve,[$cnf( $equal(composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))),composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))))) )],[refute_0_3154,refute_0_3155]) ).
cnf(refute_0_3157,plain,
composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))) = composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))),composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))) )],[refute_0_3153,refute_0_3156]) ).
cnf(refute_0_3158,plain,
composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) = composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(X_141)),bind(X1,$fot(converse(composition(X_139,X_140)))),bind(X2,$fot(complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))))]]) ).
cnf(refute_0_3159,plain,
( composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))) != composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))))
| composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) != composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))))
| composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) = composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))))),bind(Y,$fot(composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))))),bind(Z,$fot(composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))))))]]) ).
cnf(refute_0_3160,plain,
( composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))) != composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))))
| composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) = composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))) ),
inference(resolve,[$cnf( $equal(composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))),composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))))) )],[refute_0_3158,refute_0_3159]) ).
cnf(refute_0_3161,plain,
composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) = composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))),
inference(resolve,[$cnf( $equal(composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top)))),composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))))) )],[refute_0_3157,refute_0_3160]) ).
cnf(refute_0_3162,plain,
( composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) != composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))))
| composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) != zero
| composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))),zero) ),[0],$fot(composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))))]]) ).
cnf(refute_0_3163,plain,
( composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))) != zero
| composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))),composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141)))))))) )],[refute_0_3161,refute_0_3162]) ).
cnf(refute_0_3164,plain,
composition(X_141,composition(converse(composition(X_139,X_140)),complement(composition(X_139,composition(X_140,converse(composition(top,X_141))))))) = zero,
inference(resolve,[$cnf( $equal(composition(composition(X_141,converse(composition(X_139,X_140))),complement(composition(composition(X_139,composition(X_140,converse(X_141))),top))),zero) )],[refute_0_3128,refute_0_3163]) ).
cnf(refute_0_3165,plain,
composition(X_850,composition(converse(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) = zero,
inference(subst,[],[refute_0_3164:[bind(X_139,$fot(top)),bind(X_140,$fot(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),bind(X_141,$fot(X_850))]]) ).
cnf(refute_0_3166,plain,
( composition(X_850,composition(converse(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) != zero
| composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_850,composition(converse(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))),zero) ),[0,1,0,0],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_3167,plain,
( composition(X_850,composition(converse(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) != zero
| composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2657,refute_0_3166]) ).
cnf(refute_0_3168,plain,
composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) = zero,
inference(resolve,[$cnf( $equal(composition(X_850,composition(converse(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))),zero) )],[refute_0_3165,refute_0_3167]) ).
cnf(refute_0_3169,plain,
join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,composition(top,X_438))))) = complement(composition(top,X_438)),
inference(subst,[],[refute_0_91:[bind(X0,$fot(top)),bind(X1,$fot(composition(top,X_438)))]]) ).
cnf(refute_0_3170,plain,
composition(join(one,composition(top,top)),composition(top,X2)) = composition(composition(join(one,composition(top,top)),top),X2),
inference(subst,[],[refute_0_1205:[bind(X0,$fot(join(one,composition(top,top)))),bind(X1,$fot(top))]]) ).
cnf(refute_0_3171,plain,
converse(composition(top,join(one,composition(top,top)))) = composition(converse(join(one,composition(top,top))),top),
inference(subst,[],[refute_0_2592:[bind(X_12,$fot(join(one,composition(top,top))))]]) ).
cnf(refute_0_3172,plain,
converse(join(composition(top,top),one)) = join(one,converse(composition(top,top))),
inference(subst,[],[refute_0_139:[bind(X_25,$fot(composition(top,top)))]]) ).
cnf(refute_0_3173,plain,
converse(composition(top,top)) = composition(top,converse(top)),
inference(subst,[],[refute_0_1521:[bind(X_11,$fot(top))]]) ).
cnf(refute_0_3174,plain,
( converse(composition(top,top)) != composition(top,converse(top))
| converse(top) != top
| converse(composition(top,top)) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,top)),composition(top,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3175,plain,
( converse(composition(top,top)) != composition(top,converse(top))
| converse(composition(top,top)) = composition(top,top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_893,refute_0_3174]) ).
cnf(refute_0_3176,plain,
converse(composition(top,top)) = composition(top,top),
inference(resolve,[$cnf( $equal(converse(composition(top,top)),composition(top,converse(top))) )],[refute_0_3173,refute_0_3175]) ).
cnf(refute_0_3177,plain,
( converse(composition(top,top)) != composition(top,top)
| converse(join(composition(top,top),one)) != join(one,converse(composition(top,top)))
| converse(join(composition(top,top),one)) = join(one,composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(top,top),one)),join(one,converse(composition(top,top)))) ),[1,1],$fot(composition(top,top))]]) ).
cnf(refute_0_3178,plain,
( converse(join(composition(top,top),one)) != join(one,converse(composition(top,top)))
| converse(join(composition(top,top),one)) = join(one,composition(top,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,top)),composition(top,top)) )],[refute_0_3176,refute_0_3177]) ).
cnf(refute_0_3179,plain,
converse(join(composition(top,top),one)) = join(one,composition(top,top)),
inference(resolve,[$cnf( $equal(converse(join(composition(top,top),one)),join(one,converse(composition(top,top)))) )],[refute_0_3172,refute_0_3178]) ).
cnf(refute_0_3180,plain,
converse(join(converse(one),X_29)) = join(one,converse(X_29)),
inference(subst,[],[refute_0_812:[bind(X0,$fot(one)),bind(X_26,$fot(X_29))]]) ).
cnf(refute_0_3181,plain,
( converse(join(converse(one),X_29)) != join(one,converse(X_29))
| converse(one) != one
| converse(join(one,X_29)) = join(one,converse(X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_29)),join(one,converse(X_29))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_3182,plain,
( converse(join(converse(one),X_29)) != join(one,converse(X_29))
| converse(join(one,X_29)) = join(one,converse(X_29)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_117,refute_0_3181]) ).
cnf(refute_0_3183,plain,
converse(join(one,X_29)) = join(one,converse(X_29)),
inference(resolve,[$cnf( $equal(converse(join(converse(one),X_29)),join(one,converse(X_29))) )],[refute_0_3180,refute_0_3182]) ).
cnf(refute_0_3184,plain,
join(one,converse(X_29)) = converse(join(X_29,one)),
inference(subst,[],[refute_0_145:[bind(X_25,$fot(X_29))]]) ).
cnf(refute_0_3185,plain,
( converse(join(one,X_29)) != join(one,converse(X_29))
| join(one,converse(X_29)) != converse(join(X_29,one))
| converse(join(one,X_29)) = converse(join(X_29,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,X_29)),converse(join(X_29,one))) ),[0],$fot(join(one,converse(X_29)))]]) ).
cnf(refute_0_3186,plain,
( converse(join(one,X_29)) != join(one,converse(X_29))
| converse(join(one,X_29)) = converse(join(X_29,one)) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_29)),converse(join(X_29,one))) )],[refute_0_3184,refute_0_3185]) ).
cnf(refute_0_3187,plain,
converse(join(one,X_29)) = converse(join(X_29,one)),
inference(resolve,[$cnf( $equal(converse(join(one,X_29)),join(one,converse(X_29))) )],[refute_0_3183,refute_0_3186]) ).
cnf(refute_0_3188,plain,
( converse(join(one,X_29)) != converse(join(X_29,one))
| converse(join(X_29,one)) = converse(join(one,X_29)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(one,X_29)))),bind(Y,$fot(converse(join(X_29,one))))]]) ).
cnf(refute_0_3189,plain,
converse(join(X_29,one)) = converse(join(one,X_29)),
inference(resolve,[$cnf( $equal(converse(join(one,X_29)),converse(join(X_29,one))) )],[refute_0_3187,refute_0_3188]) ).
cnf(refute_0_3190,plain,
converse(join(composition(top,top),one)) = converse(join(one,composition(top,top))),
inference(subst,[],[refute_0_3189:[bind(X_29,$fot(composition(top,top)))]]) ).
cnf(refute_0_3191,plain,
( converse(join(composition(top,top),one)) != converse(join(one,composition(top,top)))
| converse(join(composition(top,top),one)) != join(one,composition(top,top))
| converse(join(one,composition(top,top))) = join(one,composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(top,top),one)),join(one,composition(top,top))) ),[0],$fot(converse(join(one,composition(top,top))))]]) ).
cnf(refute_0_3192,plain,
( converse(join(composition(top,top),one)) != join(one,composition(top,top))
| converse(join(one,composition(top,top))) = join(one,composition(top,top)) ),
inference(resolve,[$cnf( $equal(converse(join(composition(top,top),one)),converse(join(one,composition(top,top)))) )],[refute_0_3190,refute_0_3191]) ).
cnf(refute_0_3193,plain,
converse(join(one,composition(top,top))) = join(one,composition(top,top)),
inference(resolve,[$cnf( $equal(converse(join(composition(top,top),one)),join(one,composition(top,top))) )],[refute_0_3179,refute_0_3192]) ).
cnf(refute_0_3194,plain,
( converse(composition(top,join(one,composition(top,top)))) != composition(converse(join(one,composition(top,top))),top)
| converse(join(one,composition(top,top))) != join(one,composition(top,top))
| converse(composition(top,join(one,composition(top,top)))) = composition(join(one,composition(top,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(one,composition(top,top)))),composition(converse(join(one,composition(top,top))),top)) ),[1,0],$fot(join(one,composition(top,top)))]]) ).
cnf(refute_0_3195,plain,
( converse(composition(top,join(one,composition(top,top)))) != composition(converse(join(one,composition(top,top))),top)
| converse(composition(top,join(one,composition(top,top)))) = composition(join(one,composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(top,top))),join(one,composition(top,top))) )],[refute_0_3193,refute_0_3194]) ).
cnf(refute_0_3196,plain,
converse(composition(top,join(one,composition(top,top)))) = composition(join(one,composition(top,top)),top),
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,composition(top,top)))),composition(converse(join(one,composition(top,top))),top)) )],[refute_0_3171,refute_0_3195]) ).
cnf(refute_0_3197,plain,
composition(join(converse(X_92),one),top) = join(top,composition(converse(X_92),top)),
inference(subst,[],[refute_0_165:[bind(X_58,$fot(converse(X_92))),bind(X_60,$fot(top))]]) ).
cnf(refute_0_3198,plain,
converse(composition(top,X_92)) = composition(converse(X_92),top),
inference(subst,[],[refute_0_2592:[bind(X_12,$fot(X_92))]]) ).
cnf(refute_0_3199,plain,
( converse(composition(top,X_92)) != composition(converse(X_92),top)
| composition(converse(X_92),top) = converse(composition(top,X_92)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(top,X_92)))),bind(Y,$fot(composition(converse(X_92),top)))]]) ).
cnf(refute_0_3200,plain,
composition(converse(X_92),top) = converse(composition(top,X_92)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_92)),composition(converse(X_92),top)) )],[refute_0_3198,refute_0_3199]) ).
cnf(refute_0_3201,plain,
( composition(converse(X_92),top) != converse(composition(top,X_92))
| composition(join(converse(X_92),one),top) != join(top,composition(converse(X_92),top))
| composition(join(converse(X_92),one),top) = join(top,converse(composition(top,X_92))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X_92),one),top),join(top,composition(converse(X_92),top))) ),[1,1],$fot(converse(composition(top,X_92)))]]) ).
cnf(refute_0_3202,plain,
( composition(join(converse(X_92),one),top) != join(top,composition(converse(X_92),top))
| composition(join(converse(X_92),one),top) = join(top,converse(composition(top,X_92))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_92),top),converse(composition(top,X_92))) )],[refute_0_3200,refute_0_3201]) ).
cnf(refute_0_3203,plain,
composition(join(converse(X_92),one),top) = join(top,converse(composition(top,X_92))),
inference(resolve,[$cnf( $equal(composition(join(converse(X_92),one),top),join(top,composition(converse(X_92),top))) )],[refute_0_3197,refute_0_3202]) ).
cnf(refute_0_3204,plain,
composition(converse(join(X_92,one)),top) = converse(composition(top,join(X_92,one))),
inference(subst,[],[refute_0_2594:[bind(X_12,$fot(join(X_92,one)))]]) ).
cnf(refute_0_3205,plain,
join(one,converse(X_92)) = converse(join(X_92,one)),
inference(subst,[],[refute_0_145:[bind(X_25,$fot(X_92))]]) ).
cnf(refute_0_3206,plain,
composition(join(one,converse(X_92)),top) = composition(join(one,converse(X_92)),top),
introduced(tautology,[refl,[$fot(composition(join(one,converse(X_92)),top))]]) ).
cnf(refute_0_3207,plain,
( composition(join(one,converse(X_92)),top) != composition(join(one,converse(X_92)),top)
| join(one,converse(X_92)) != converse(join(X_92,one))
| composition(join(one,converse(X_92)),top) = composition(converse(join(X_92,one)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(X_92)),top),composition(join(one,converse(X_92)),top)) ),[1,0],$fot(converse(join(X_92,one)))]]) ).
cnf(refute_0_3208,plain,
( join(one,converse(X_92)) != converse(join(X_92,one))
| composition(join(one,converse(X_92)),top) = composition(converse(join(X_92,one)),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X_92)),top),composition(join(one,converse(X_92)),top)) )],[refute_0_3206,refute_0_3207]) ).
cnf(refute_0_3209,plain,
composition(join(one,converse(X_92)),top) = composition(converse(join(X_92,one)),top),
inference(resolve,[$cnf( $equal(join(one,converse(X_92)),converse(join(X_92,one))) )],[refute_0_3205,refute_0_3208]) ).
cnf(refute_0_3210,plain,
( composition(converse(join(X_92,one)),top) != converse(composition(top,join(X_92,one)))
| composition(join(one,converse(X_92)),top) != composition(converse(join(X_92,one)),top)
| composition(join(one,converse(X_92)),top) = converse(composition(top,join(X_92,one))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(join(one,converse(X_92)),top))),bind(Y,$fot(composition(converse(join(X_92,one)),top))),bind(Z,$fot(converse(composition(top,join(X_92,one)))))]]) ).
cnf(refute_0_3211,plain,
( composition(converse(join(X_92,one)),top) != converse(composition(top,join(X_92,one)))
| composition(join(one,converse(X_92)),top) = converse(composition(top,join(X_92,one))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X_92)),top),composition(converse(join(X_92,one)),top)) )],[refute_0_3209,refute_0_3210]) ).
cnf(refute_0_3212,plain,
composition(join(one,converse(X_92)),top) = converse(composition(top,join(X_92,one))),
inference(resolve,[$cnf( $equal(composition(converse(join(X_92,one)),top),converse(composition(top,join(X_92,one)))) )],[refute_0_3204,refute_0_3211]) ).
cnf(refute_0_3213,plain,
composition(join(converse(X_92),one),top) = composition(join(one,converse(X_92)),top),
inference(subst,[],[refute_0_180:[bind(X_61,$fot(converse(X_92))),bind(X_62,$fot(top))]]) ).
cnf(refute_0_3214,plain,
( composition(join(converse(X_92),one),top) != composition(join(one,converse(X_92)),top)
| composition(join(one,converse(X_92)),top) != converse(composition(top,join(X_92,one)))
| composition(join(converse(X_92),one),top) = converse(composition(top,join(X_92,one))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(join(converse(X_92),one),top))),bind(Y,$fot(composition(join(one,converse(X_92)),top))),bind(Z,$fot(converse(composition(top,join(X_92,one)))))]]) ).
cnf(refute_0_3215,plain,
( composition(join(one,converse(X_92)),top) != converse(composition(top,join(X_92,one)))
| composition(join(converse(X_92),one),top) = converse(composition(top,join(X_92,one))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X_92),one),top),composition(join(one,converse(X_92)),top)) )],[refute_0_3213,refute_0_3214]) ).
cnf(refute_0_3216,plain,
composition(join(converse(X_92),one),top) = converse(composition(top,join(X_92,one))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X_92)),top),converse(composition(top,join(X_92,one)))) )],[refute_0_3212,refute_0_3215]) ).
cnf(refute_0_3217,plain,
( composition(join(converse(X_92),one),top) != converse(composition(top,join(X_92,one)))
| composition(join(converse(X_92),one),top) != join(top,converse(composition(top,X_92)))
| converse(composition(top,join(X_92,one))) = join(top,converse(composition(top,X_92))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X_92),one),top),join(top,converse(composition(top,X_92)))) ),[0],$fot(converse(composition(top,join(X_92,one))))]]) ).
cnf(refute_0_3218,plain,
( composition(join(converse(X_92),one),top) != join(top,converse(composition(top,X_92)))
| converse(composition(top,join(X_92,one))) = join(top,converse(composition(top,X_92))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X_92),one),top),converse(composition(top,join(X_92,one)))) )],[refute_0_3216,refute_0_3217]) ).
cnf(refute_0_3219,plain,
join(top,converse(composition(top,X_92))) = top,
inference(subst,[],[refute_0_595:[bind(X_34,$fot(converse(composition(top,X_92))))]]) ).
cnf(refute_0_3220,plain,
( converse(composition(top,join(X_92,one))) != join(top,converse(composition(top,X_92)))
| join(top,converse(composition(top,X_92))) != top
| converse(composition(top,join(X_92,one))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(top,join(X_92,one))),top) ),[0],$fot(join(top,converse(composition(top,X_92))))]]) ).
cnf(refute_0_3221,plain,
( converse(composition(top,join(X_92,one))) != join(top,converse(composition(top,X_92)))
| converse(composition(top,join(X_92,one))) = top ),
inference(resolve,[$cnf( $equal(join(top,converse(composition(top,X_92))),top) )],[refute_0_3219,refute_0_3220]) ).
cnf(refute_0_3222,plain,
( composition(join(converse(X_92),one),top) != join(top,converse(composition(top,X_92)))
| converse(composition(top,join(X_92,one))) = top ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(X_92,one))),join(top,converse(composition(top,X_92)))) )],[refute_0_3218,refute_0_3221]) ).
cnf(refute_0_3223,plain,
converse(composition(top,join(X_92,one))) = top,
inference(resolve,[$cnf( $equal(composition(join(converse(X_92),one),top),join(top,converse(composition(top,X_92)))) )],[refute_0_3203,refute_0_3222]) ).
cnf(refute_0_3224,plain,
converse(composition(top,join(X_93,one))) = top,
inference(subst,[],[refute_0_3223:[bind(X_92,$fot(X_93))]]) ).
cnf(refute_0_3225,plain,
join(one,X_93) = join(X_93,one),
inference(subst,[],[refute_0_3:[bind(X0,$fot(one)),bind(X1,$fot(X_93))]]) ).
cnf(refute_0_3226,plain,
( join(one,X_93) != join(X_93,one)
| join(X_93,one) = join(one,X_93) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,X_93))),bind(Y,$fot(join(X_93,one)))]]) ).
cnf(refute_0_3227,plain,
join(X_93,one) = join(one,X_93),
inference(resolve,[$cnf( $equal(join(one,X_93),join(X_93,one)) )],[refute_0_3225,refute_0_3226]) ).
cnf(refute_0_3228,plain,
( converse(composition(top,join(X_93,one))) != top
| join(X_93,one) != join(one,X_93)
| converse(composition(top,join(one,X_93))) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(X_93,one))),top) ),[0,0,1],$fot(join(one,X_93))]]) ).
cnf(refute_0_3229,plain,
( converse(composition(top,join(X_93,one))) != top
| converse(composition(top,join(one,X_93))) = top ),
inference(resolve,[$cnf( $equal(join(X_93,one),join(one,X_93)) )],[refute_0_3227,refute_0_3228]) ).
cnf(refute_0_3230,plain,
converse(composition(top,join(one,X_93))) = top,
inference(resolve,[$cnf( $equal(converse(composition(top,join(X_93,one))),top) )],[refute_0_3224,refute_0_3229]) ).
cnf(refute_0_3231,plain,
converse(composition(top,join(one,composition(top,top)))) = top,
inference(subst,[],[refute_0_3230:[bind(X_93,$fot(composition(top,top)))]]) ).
cnf(refute_0_3232,plain,
( converse(composition(top,join(one,composition(top,top)))) != composition(join(one,composition(top,top)),top)
| converse(composition(top,join(one,composition(top,top)))) != top
| top = composition(join(one,composition(top,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(one,composition(top,top)))),composition(join(one,composition(top,top)),top)) ),[0],$fot(top)]]) ).
cnf(refute_0_3233,plain,
( converse(composition(top,join(one,composition(top,top)))) != composition(join(one,composition(top,top)),top)
| top = composition(join(one,composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,composition(top,top)))),top) )],[refute_0_3231,refute_0_3232]) ).
cnf(refute_0_3234,plain,
top = composition(join(one,composition(top,top)),top),
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,composition(top,top)))),composition(join(one,composition(top,top)),top)) )],[refute_0_3196,refute_0_3233]) ).
cnf(refute_0_3235,plain,
( top != composition(join(one,composition(top,top)),top)
| composition(join(one,composition(top,top)),top) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(composition(join(one,composition(top,top)),top)))]]) ).
cnf(refute_0_3236,plain,
composition(join(one,composition(top,top)),top) = top,
inference(resolve,[$cnf( $equal(top,composition(join(one,composition(top,top)),top)) )],[refute_0_3234,refute_0_3235]) ).
cnf(refute_0_3237,plain,
( composition(join(one,composition(top,top)),composition(top,X2)) != composition(composition(join(one,composition(top,top)),top),X2)
| composition(join(one,composition(top,top)),top) != top
| composition(join(one,composition(top,top)),composition(top,X2)) = composition(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,composition(top,top)),composition(top,X2)),composition(composition(join(one,composition(top,top)),top),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3238,plain,
( composition(join(one,composition(top,top)),composition(top,X2)) != composition(composition(join(one,composition(top,top)),top),X2)
| composition(join(one,composition(top,top)),composition(top,X2)) = composition(top,X2) ),
inference(resolve,[$cnf( $equal(composition(join(one,composition(top,top)),top),top) )],[refute_0_3236,refute_0_3237]) ).
cnf(refute_0_3239,plain,
composition(join(one,composition(top,top)),composition(top,X2)) = composition(top,X2),
inference(resolve,[$cnf( $equal(composition(join(one,composition(top,top)),composition(top,X2)),composition(composition(join(one,composition(top,top)),top),X2)) )],[refute_0_3170,refute_0_3238]) ).
cnf(refute_0_3240,plain,
composition(join(join(one,composition(top,top)),X1),top) = join(composition(join(one,composition(top,top)),top),composition(X1,top)),
inference(subst,[],[refute_0_154:[bind(X0,$fot(join(one,composition(top,top)))),bind(X2,$fot(top))]]) ).
cnf(refute_0_3241,plain,
( composition(join(join(one,composition(top,top)),X1),top) != join(composition(join(one,composition(top,top)),top),composition(X1,top))
| composition(join(one,composition(top,top)),top) != top
| composition(join(join(one,composition(top,top)),X1),top) = join(top,composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,composition(top,top)),X1),top),join(composition(join(one,composition(top,top)),top),composition(X1,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3242,plain,
( composition(join(join(one,composition(top,top)),X1),top) != join(composition(join(one,composition(top,top)),top),composition(X1,top))
| composition(join(join(one,composition(top,top)),X1),top) = join(top,composition(X1,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,composition(top,top)),top),top) )],[refute_0_3236,refute_0_3241]) ).
cnf(refute_0_3243,plain,
composition(join(join(one,composition(top,top)),X1),top) = join(top,composition(X1,top)),
inference(resolve,[$cnf( $equal(composition(join(join(one,composition(top,top)),X1),top),join(composition(join(one,composition(top,top)),top),composition(X1,top))) )],[refute_0_3240,refute_0_3242]) ).
cnf(refute_0_3244,plain,
join(join(one,composition(top,top)),X1) = join(one,join(composition(top,top),X1)),
inference(subst,[],[refute_0_395:[bind(X0,$fot(one)),bind(X1,$fot(composition(top,top))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_3245,plain,
composition(join(join(one,composition(top,top)),X1),top) = composition(join(join(one,composition(top,top)),X1),top),
introduced(tautology,[refl,[$fot(composition(join(join(one,composition(top,top)),X1),top))]]) ).
cnf(refute_0_3246,plain,
( composition(join(join(one,composition(top,top)),X1),top) != composition(join(join(one,composition(top,top)),X1),top)
| join(join(one,composition(top,top)),X1) != join(one,join(composition(top,top),X1))
| composition(join(join(one,composition(top,top)),X1),top) = composition(join(one,join(composition(top,top),X1)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,composition(top,top)),X1),top),composition(join(join(one,composition(top,top)),X1),top)) ),[1,0],$fot(join(one,join(composition(top,top),X1)))]]) ).
cnf(refute_0_3247,plain,
( join(join(one,composition(top,top)),X1) != join(one,join(composition(top,top),X1))
| composition(join(join(one,composition(top,top)),X1),top) = composition(join(one,join(composition(top,top),X1)),top) ),
inference(resolve,[$cnf( $equal(composition(join(join(one,composition(top,top)),X1),top),composition(join(join(one,composition(top,top)),X1),top)) )],[refute_0_3245,refute_0_3246]) ).
cnf(refute_0_3248,plain,
composition(join(join(one,composition(top,top)),X1),top) = composition(join(one,join(composition(top,top),X1)),top),
inference(resolve,[$cnf( $equal(join(join(one,composition(top,top)),X1),join(one,join(composition(top,top),X1))) )],[refute_0_3244,refute_0_3247]) ).
cnf(refute_0_3249,plain,
( composition(join(join(one,composition(top,top)),X1),top) != composition(join(one,join(composition(top,top),X1)),top)
| composition(join(join(one,composition(top,top)),X1),top) != join(top,composition(X1,top))
| composition(join(one,join(composition(top,top),X1)),top) = join(top,composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,composition(top,top)),X1),top),join(top,composition(X1,top))) ),[0],$fot(composition(join(one,join(composition(top,top),X1)),top))]]) ).
cnf(refute_0_3250,plain,
( composition(join(join(one,composition(top,top)),X1),top) != join(top,composition(X1,top))
| composition(join(one,join(composition(top,top),X1)),top) = join(top,composition(X1,top)) ),
inference(resolve,[$cnf( $equal(composition(join(join(one,composition(top,top)),X1),top),composition(join(one,join(composition(top,top),X1)),top)) )],[refute_0_3248,refute_0_3249]) ).
cnf(refute_0_3251,plain,
join(top,composition(X1,top)) = composition(join(X1,one),top),
inference(subst,[],[refute_0_174:[bind(X_58,$fot(X1)),bind(X_60,$fot(top))]]) ).
cnf(refute_0_3252,plain,
( composition(join(one,join(composition(top,top),X1)),top) != join(top,composition(X1,top))
| join(top,composition(X1,top)) != composition(join(X1,one),top)
| composition(join(one,join(composition(top,top),X1)),top) = composition(join(X1,one),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(composition(top,top),X1)),top),composition(join(X1,one),top)) ),[0],$fot(join(top,composition(X1,top)))]]) ).
cnf(refute_0_3253,plain,
( composition(join(one,join(composition(top,top),X1)),top) != join(top,composition(X1,top))
| composition(join(one,join(composition(top,top),X1)),top) = composition(join(X1,one),top) ),
inference(resolve,[$cnf( $equal(join(top,composition(X1,top)),composition(join(X1,one),top)) )],[refute_0_3251,refute_0_3252]) ).
cnf(refute_0_3254,plain,
( composition(join(join(one,composition(top,top)),X1),top) != join(top,composition(X1,top))
| composition(join(one,join(composition(top,top),X1)),top) = composition(join(X1,one),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(composition(top,top),X1)),top),join(top,composition(X1,top))) )],[refute_0_3250,refute_0_3253]) ).
cnf(refute_0_3255,plain,
composition(join(one,join(composition(top,top),X1)),top) = composition(join(X1,one),top),
inference(resolve,[$cnf( $equal(composition(join(join(one,composition(top,top)),X1),top),join(top,composition(X1,top))) )],[refute_0_3243,refute_0_3254]) ).
cnf(refute_0_3256,plain,
converse(composition(top,join(converse(join(X_25,one)),one))) = top,
inference(subst,[],[refute_0_3223:[bind(X_92,$fot(converse(join(X_25,one))))]]) ).
cnf(refute_0_3257,plain,
join(one,join(converse(X_25),X_36)) = join(join(one,converse(X_25)),X_36),
inference(subst,[],[refute_0_0:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_25))),bind(X2,$fot(X_36))]]) ).
cnf(refute_0_3258,plain,
( join(one,converse(X_25)) != converse(join(X_25,one))
| join(one,join(converse(X_25),X_36)) != join(join(one,converse(X_25)),X_36)
| join(one,join(converse(X_25),X_36)) = join(converse(join(X_25,one)),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_25),X_36)),join(join(one,converse(X_25)),X_36)) ),[1,0],$fot(converse(join(X_25,one)))]]) ).
cnf(refute_0_3259,plain,
( join(one,join(converse(X_25),X_36)) != join(join(one,converse(X_25)),X_36)
| join(one,join(converse(X_25),X_36)) = join(converse(join(X_25,one)),X_36) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_25)),converse(join(X_25,one))) )],[refute_0_145,refute_0_3258]) ).
cnf(refute_0_3260,plain,
join(one,join(converse(X_25),X_36)) = join(converse(join(X_25,one)),X_36),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_25),X_36)),join(join(one,converse(X_25)),X_36)) )],[refute_0_3257,refute_0_3259]) ).
cnf(refute_0_3261,plain,
join(one,join(converse(X_25),one)) = join(converse(join(X_25,one)),one),
inference(subst,[],[refute_0_3260:[bind(X_36,$fot(one))]]) ).
cnf(refute_0_3262,plain,
( join(one,join(converse(X_25),one)) != join(converse(join(X_25,one)),one)
| join(converse(join(X_25,one)),one) = join(one,join(converse(X_25),one)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,join(converse(X_25),one)))),bind(Y,$fot(join(converse(join(X_25,one)),one)))]]) ).
cnf(refute_0_3263,plain,
join(converse(join(X_25,one)),one) = join(one,join(converse(X_25),one)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_25),one)),join(converse(join(X_25,one)),one)) )],[refute_0_3261,refute_0_3262]) ).
cnf(refute_0_3264,plain,
( converse(composition(top,join(converse(join(X_25,one)),one))) != top
| join(converse(join(X_25,one)),one) != join(one,join(converse(X_25),one))
| converse(composition(top,join(one,join(converse(X_25),one)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(converse(join(X_25,one)),one))),top) ),[0,0,1],$fot(join(one,join(converse(X_25),one)))]]) ).
cnf(refute_0_3265,plain,
( converse(composition(top,join(converse(join(X_25,one)),one))) != top
| converse(composition(top,join(one,join(converse(X_25),one)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(X_25,one)),one),join(one,join(converse(X_25),one))) )],[refute_0_3263,refute_0_3264]) ).
cnf(refute_0_3266,plain,
converse(composition(top,join(one,join(converse(X_25),one)))) = top,
inference(resolve,[$cnf( $equal(converse(composition(top,join(converse(join(X_25,one)),one))),top) )],[refute_0_3256,refute_0_3265]) ).
cnf(refute_0_3267,plain,
converse(converse(composition(join(one,join(X_25,one)),top))) = composition(join(one,join(X_25,one)),top),
inference(subst,[],[refute_0_95:[bind(X0,$fot(composition(join(one,join(X_25,one)),top)))]]) ).
cnf(refute_0_3268,plain,
composition(top,converse(join(one,join(X_25,one)))) = converse(composition(join(one,join(X_25,one)),top)),
inference(subst,[],[refute_0_1523:[bind(X_11,$fot(join(one,join(X_25,one))))]]) ).
cnf(refute_0_3269,plain,
converse(join(join(X_25,one),one)) = converse(join(one,join(X_25,one))),
inference(subst,[],[refute_0_3189:[bind(X_29,$fot(join(X_25,one)))]]) ).
cnf(refute_0_3270,plain,
join(one,converse(join(X_25,one))) = converse(join(join(X_25,one),one)),
inference(subst,[],[refute_0_145:[bind(X_25,$fot(join(X_25,one)))]]) ).
cnf(refute_0_3271,plain,
( converse(join(join(X_25,one),one)) != converse(join(one,join(X_25,one)))
| join(one,converse(join(X_25,one))) != converse(join(join(X_25,one),one))
| join(one,converse(join(X_25,one))) = converse(join(one,join(X_25,one))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,converse(join(X_25,one))))),bind(Y,$fot(converse(join(join(X_25,one),one)))),bind(Z,$fot(converse(join(one,join(X_25,one)))))]]) ).
cnf(refute_0_3272,plain,
( converse(join(join(X_25,one),one)) != converse(join(one,join(X_25,one)))
| join(one,converse(join(X_25,one))) = converse(join(one,join(X_25,one))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_25,one))),converse(join(join(X_25,one),one))) )],[refute_0_3270,refute_0_3271]) ).
cnf(refute_0_3273,plain,
join(one,converse(join(X_25,one))) = converse(join(one,join(X_25,one))),
inference(resolve,[$cnf( $equal(converse(join(join(X_25,one),one)),converse(join(one,join(X_25,one)))) )],[refute_0_3269,refute_0_3272]) ).
cnf(refute_0_3274,plain,
join(X0,converse(join(X_90,one))) = join(converse(join(X_90,one)),X0),
inference(subst,[],[refute_0_3:[bind(X1,$fot(converse(join(X_90,one))))]]) ).
cnf(refute_0_3275,plain,
join(one,join(converse(X_90),X0)) = join(converse(join(X_90,one)),X0),
inference(subst,[],[refute_0_3260:[bind(X_25,$fot(X_90)),bind(X_36,$fot(X0))]]) ).
cnf(refute_0_3276,plain,
( join(one,join(converse(X_90),X0)) != join(converse(join(X_90,one)),X0)
| join(converse(join(X_90,one)),X0) = join(one,join(converse(X_90),X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,join(converse(X_90),X0)))),bind(Y,$fot(join(converse(join(X_90,one)),X0)))]]) ).
cnf(refute_0_3277,plain,
join(converse(join(X_90,one)),X0) = join(one,join(converse(X_90),X0)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_90),X0)),join(converse(join(X_90,one)),X0)) )],[refute_0_3275,refute_0_3276]) ).
cnf(refute_0_3278,plain,
( join(X0,converse(join(X_90,one))) != join(converse(join(X_90,one)),X0)
| join(converse(join(X_90,one)),X0) != join(one,join(converse(X_90),X0))
| join(X0,converse(join(X_90,one))) = join(one,join(converse(X_90),X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,converse(join(X_90,one))),join(one,join(converse(X_90),X0))) ),[0],$fot(join(converse(join(X_90,one)),X0))]]) ).
cnf(refute_0_3279,plain,
( join(X0,converse(join(X_90,one))) != join(converse(join(X_90,one)),X0)
| join(X0,converse(join(X_90,one))) = join(one,join(converse(X_90),X0)) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_90,one)),X0),join(one,join(converse(X_90),X0))) )],[refute_0_3277,refute_0_3278]) ).
cnf(refute_0_3280,plain,
join(X0,converse(join(X_90,one))) = join(one,join(converse(X_90),X0)),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_90,one))),join(converse(join(X_90,one)),X0)) )],[refute_0_3274,refute_0_3279]) ).
cnf(refute_0_3281,plain,
( join(X0,converse(join(X_90,one))) != join(one,join(converse(X_90),X0))
| join(one,join(converse(X_90),X0)) = join(X0,converse(join(X_90,one))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,converse(join(X_90,one))))),bind(Y,$fot(join(one,join(converse(X_90),X0))))]]) ).
cnf(refute_0_3282,plain,
join(one,join(converse(X_90),X0)) = join(X0,converse(join(X_90,one))),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_90,one))),join(one,join(converse(X_90),X0))) )],[refute_0_3280,refute_0_3281]) ).
cnf(refute_0_3283,plain,
join(one,join(converse(X_25),one)) = join(one,converse(join(X_25,one))),
inference(subst,[],[refute_0_3282:[bind(X0,$fot(one)),bind(X_90,$fot(X_25))]]) ).
cnf(refute_0_3284,plain,
( join(one,converse(join(X_25,one))) != converse(join(one,join(X_25,one)))
| join(one,join(converse(X_25),one)) != join(one,converse(join(X_25,one)))
| join(one,join(converse(X_25),one)) = converse(join(one,join(X_25,one))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,join(converse(X_25),one)))),bind(Y,$fot(join(one,converse(join(X_25,one))))),bind(Z,$fot(converse(join(one,join(X_25,one)))))]]) ).
cnf(refute_0_3285,plain,
( join(one,converse(join(X_25,one))) != converse(join(one,join(X_25,one)))
| join(one,join(converse(X_25),one)) = converse(join(one,join(X_25,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_25),one)),join(one,converse(join(X_25,one)))) )],[refute_0_3283,refute_0_3284]) ).
cnf(refute_0_3286,plain,
join(one,join(converse(X_25),one)) = converse(join(one,join(X_25,one))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_25,one))),converse(join(one,join(X_25,one)))) )],[refute_0_3273,refute_0_3285]) ).
cnf(refute_0_3287,plain,
composition(top,join(one,join(converse(X_25),one))) = composition(top,join(one,join(converse(X_25),one))),
introduced(tautology,[refl,[$fot(composition(top,join(one,join(converse(X_25),one))))]]) ).
cnf(refute_0_3288,plain,
( composition(top,join(one,join(converse(X_25),one))) != composition(top,join(one,join(converse(X_25),one)))
| join(one,join(converse(X_25),one)) != converse(join(one,join(X_25,one)))
| composition(top,join(one,join(converse(X_25),one))) = composition(top,converse(join(one,join(X_25,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,join(one,join(converse(X_25),one))),composition(top,join(one,join(converse(X_25),one)))) ),[1,1],$fot(converse(join(one,join(X_25,one))))]]) ).
cnf(refute_0_3289,plain,
( join(one,join(converse(X_25),one)) != converse(join(one,join(X_25,one)))
| composition(top,join(one,join(converse(X_25),one))) = composition(top,converse(join(one,join(X_25,one)))) ),
inference(resolve,[$cnf( $equal(composition(top,join(one,join(converse(X_25),one))),composition(top,join(one,join(converse(X_25),one)))) )],[refute_0_3287,refute_0_3288]) ).
cnf(refute_0_3290,plain,
composition(top,join(one,join(converse(X_25),one))) = composition(top,converse(join(one,join(X_25,one)))),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_25),one)),converse(join(one,join(X_25,one)))) )],[refute_0_3286,refute_0_3289]) ).
cnf(refute_0_3291,plain,
( composition(top,converse(join(one,join(X_25,one)))) != converse(composition(join(one,join(X_25,one)),top))
| composition(top,join(one,join(converse(X_25),one))) != composition(top,converse(join(one,join(X_25,one))))
| composition(top,join(one,join(converse(X_25),one))) = converse(composition(join(one,join(X_25,one)),top)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(top,join(one,join(converse(X_25),one))))),bind(Y,$fot(composition(top,converse(join(one,join(X_25,one)))))),bind(Z,$fot(converse(composition(join(one,join(X_25,one)),top))))]]) ).
cnf(refute_0_3292,plain,
( composition(top,converse(join(one,join(X_25,one)))) != converse(composition(join(one,join(X_25,one)),top))
| composition(top,join(one,join(converse(X_25),one))) = converse(composition(join(one,join(X_25,one)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,join(one,join(converse(X_25),one))),composition(top,converse(join(one,join(X_25,one))))) )],[refute_0_3290,refute_0_3291]) ).
cnf(refute_0_3293,plain,
composition(top,join(one,join(converse(X_25),one))) = converse(composition(join(one,join(X_25,one)),top)),
inference(resolve,[$cnf( $equal(composition(top,converse(join(one,join(X_25,one)))),converse(composition(join(one,join(X_25,one)),top))) )],[refute_0_3268,refute_0_3292]) ).
cnf(refute_0_3294,plain,
converse(composition(top,join(one,join(converse(X_25),one)))) = converse(composition(top,join(one,join(converse(X_25),one)))),
introduced(tautology,[refl,[$fot(converse(composition(top,join(one,join(converse(X_25),one)))))]]) ).
cnf(refute_0_3295,plain,
( composition(top,join(one,join(converse(X_25),one))) != converse(composition(join(one,join(X_25,one)),top))
| converse(composition(top,join(one,join(converse(X_25),one)))) != converse(composition(top,join(one,join(converse(X_25),one))))
| converse(composition(top,join(one,join(converse(X_25),one)))) = converse(converse(composition(join(one,join(X_25,one)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(one,join(converse(X_25),one)))),converse(composition(top,join(one,join(converse(X_25),one))))) ),[1,0],$fot(converse(composition(join(one,join(X_25,one)),top)))]]) ).
cnf(refute_0_3296,plain,
( composition(top,join(one,join(converse(X_25),one))) != converse(composition(join(one,join(X_25,one)),top))
| converse(composition(top,join(one,join(converse(X_25),one)))) = converse(converse(composition(join(one,join(X_25,one)),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,join(converse(X_25),one)))),converse(composition(top,join(one,join(converse(X_25),one))))) )],[refute_0_3294,refute_0_3295]) ).
cnf(refute_0_3297,plain,
converse(composition(top,join(one,join(converse(X_25),one)))) = converse(converse(composition(join(one,join(X_25,one)),top))),
inference(resolve,[$cnf( $equal(composition(top,join(one,join(converse(X_25),one))),converse(composition(join(one,join(X_25,one)),top))) )],[refute_0_3293,refute_0_3296]) ).
cnf(refute_0_3298,plain,
( converse(composition(top,join(one,join(converse(X_25),one)))) != converse(converse(composition(join(one,join(X_25,one)),top)))
| converse(converse(composition(join(one,join(X_25,one)),top))) != composition(join(one,join(X_25,one)),top)
| converse(composition(top,join(one,join(converse(X_25),one)))) = composition(join(one,join(X_25,one)),top) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(composition(top,join(one,join(converse(X_25),one)))))),bind(Y,$fot(converse(converse(composition(join(one,join(X_25,one)),top))))),bind(Z,$fot(composition(join(one,join(X_25,one)),top)))]]) ).
cnf(refute_0_3299,plain,
( converse(converse(composition(join(one,join(X_25,one)),top))) != composition(join(one,join(X_25,one)),top)
| converse(composition(top,join(one,join(converse(X_25),one)))) = composition(join(one,join(X_25,one)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,join(converse(X_25),one)))),converse(converse(composition(join(one,join(X_25,one)),top)))) )],[refute_0_3297,refute_0_3298]) ).
cnf(refute_0_3300,plain,
converse(composition(top,join(one,join(converse(X_25),one)))) = composition(join(one,join(X_25,one)),top),
inference(resolve,[$cnf( $equal(converse(converse(composition(join(one,join(X_25,one)),top))),composition(join(one,join(X_25,one)),top)) )],[refute_0_3267,refute_0_3299]) ).
cnf(refute_0_3301,plain,
( converse(composition(top,join(one,join(converse(X_25),one)))) != composition(join(one,join(X_25,one)),top)
| converse(composition(top,join(one,join(converse(X_25),one)))) != top
| composition(join(one,join(X_25,one)),top) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(one,join(converse(X_25),one)))),top) ),[0],$fot(composition(join(one,join(X_25,one)),top))]]) ).
cnf(refute_0_3302,plain,
( converse(composition(top,join(one,join(converse(X_25),one)))) != top
| composition(join(one,join(X_25,one)),top) = top ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,join(converse(X_25),one)))),composition(join(one,join(X_25,one)),top)) )],[refute_0_3300,refute_0_3301]) ).
cnf(refute_0_3303,plain,
composition(join(one,join(X_25,one)),top) = top,
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,join(converse(X_25),one)))),top) )],[refute_0_3266,refute_0_3302]) ).
cnf(refute_0_3304,plain,
composition(join(one,join(X_25,one)),top) = composition(join(X_25,one),top),
inference(subst,[],[refute_0_2271:[bind(X0,$fot(X_25)),bind(X2,$fot(top))]]) ).
cnf(refute_0_3305,plain,
( composition(join(one,join(X_25,one)),top) != composition(join(X_25,one),top)
| composition(join(one,join(X_25,one)),top) != top
| composition(join(X_25,one),top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(X_25,one)),top),top) ),[0],$fot(composition(join(X_25,one),top))]]) ).
cnf(refute_0_3306,plain,
( composition(join(one,join(X_25,one)),top) != top
| composition(join(X_25,one),top) = top ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_25,one)),top),composition(join(X_25,one),top)) )],[refute_0_3304,refute_0_3305]) ).
cnf(refute_0_3307,plain,
composition(join(X_25,one),top) = top,
inference(resolve,[$cnf( $equal(composition(join(one,join(X_25,one)),top),top) )],[refute_0_3303,refute_0_3306]) ).
cnf(refute_0_3308,plain,
composition(join(X1,one),top) = top,
inference(subst,[],[refute_0_3307:[bind(X_25,$fot(X1))]]) ).
cnf(refute_0_3309,plain,
( composition(join(X1,one),top) != top
| composition(join(one,join(composition(top,top),X1)),top) != composition(join(X1,one),top)
| composition(join(one,join(composition(top,top),X1)),top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(composition(top,top),X1)),top),composition(join(X1,one),top)) ),[1],$fot(top)]]) ).
cnf(refute_0_3310,plain,
( composition(join(one,join(composition(top,top),X1)),top) != composition(join(X1,one),top)
| composition(join(one,join(composition(top,top),X1)),top) = top ),
inference(resolve,[$cnf( $equal(composition(join(X1,one),top),top) )],[refute_0_3308,refute_0_3309]) ).
cnf(refute_0_3311,plain,
composition(join(one,join(composition(top,top),X1)),top) = top,
inference(resolve,[$cnf( $equal(composition(join(one,join(composition(top,top),X1)),top),composition(join(X1,one),top)) )],[refute_0_3255,refute_0_3310]) ).
cnf(refute_0_3312,plain,
join(composition(top,top),join(complement(composition(top,top)),X_36)) = top,
inference(subst,[],[refute_0_599:[bind(X_34,$fot(composition(top,top)))]]) ).
cnf(refute_0_3313,plain,
( complement(composition(top,top)) != zero
| join(composition(top,top),join(complement(composition(top,top)),X_36)) != top
| join(composition(top,top),join(zero,X_36)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),join(complement(composition(top,top)),X_36)),top) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_3314,plain,
( join(composition(top,top),join(complement(composition(top,top)),X_36)) != top
| join(composition(top,top),join(zero,X_36)) = top ),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_2320,refute_0_3313]) ).
cnf(refute_0_3315,plain,
join(composition(top,top),join(zero,X_36)) = top,
inference(resolve,[$cnf( $equal(join(composition(top,top),join(complement(composition(top,top)),X_36)),top) )],[refute_0_3312,refute_0_3314]) ).
cnf(refute_0_3316,plain,
join(zero,join(composition(top,top),X_36)) = join(composition(top,top),X_36),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(join(composition(top,top),X_36)))]]) ).
cnf(refute_0_3317,plain,
join(composition(top,top),join(zero,X_36)) = join(zero,join(composition(top,top),X_36)),
inference(subst,[],[refute_0_477:[bind(X_34,$fot(zero)),bind(X_35,$fot(composition(top,top)))]]) ).
cnf(refute_0_3318,plain,
( join(composition(top,top),join(zero,X_36)) != join(zero,join(composition(top,top),X_36))
| join(zero,join(composition(top,top),X_36)) != join(composition(top,top),X_36)
| join(composition(top,top),join(zero,X_36)) = join(composition(top,top),X_36) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(top,top),join(zero,X_36)))),bind(Y,$fot(join(zero,join(composition(top,top),X_36)))),bind(Z,$fot(join(composition(top,top),X_36)))]]) ).
cnf(refute_0_3319,plain,
( join(zero,join(composition(top,top),X_36)) != join(composition(top,top),X_36)
| join(composition(top,top),join(zero,X_36)) = join(composition(top,top),X_36) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),join(zero,X_36)),join(zero,join(composition(top,top),X_36))) )],[refute_0_3317,refute_0_3318]) ).
cnf(refute_0_3320,plain,
join(composition(top,top),join(zero,X_36)) = join(composition(top,top),X_36),
inference(resolve,[$cnf( $equal(join(zero,join(composition(top,top),X_36)),join(composition(top,top),X_36)) )],[refute_0_3316,refute_0_3319]) ).
cnf(refute_0_3321,plain,
( join(composition(top,top),join(zero,X_36)) != join(composition(top,top),X_36)
| join(composition(top,top),join(zero,X_36)) != top
| join(composition(top,top),X_36) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),join(zero,X_36)),top) ),[0],$fot(join(composition(top,top),X_36))]]) ).
cnf(refute_0_3322,plain,
( join(composition(top,top),join(zero,X_36)) != top
| join(composition(top,top),X_36) = top ),
inference(resolve,[$cnf( $equal(join(composition(top,top),join(zero,X_36)),join(composition(top,top),X_36)) )],[refute_0_3320,refute_0_3321]) ).
cnf(refute_0_3323,plain,
join(composition(top,top),X_36) = top,
inference(resolve,[$cnf( $equal(join(composition(top,top),join(zero,X_36)),top) )],[refute_0_3315,refute_0_3322]) ).
cnf(refute_0_3324,plain,
join(composition(top,top),X1) = top,
inference(subst,[],[refute_0_3323:[bind(X_36,$fot(X1))]]) ).
cnf(refute_0_3325,plain,
join(one,join(composition(top,top),X1)) = join(one,join(composition(top,top),X1)),
introduced(tautology,[refl,[$fot(join(one,join(composition(top,top),X1)))]]) ).
cnf(refute_0_3326,plain,
( join(composition(top,top),X1) != top
| join(one,join(composition(top,top),X1)) != join(one,join(composition(top,top),X1))
| join(one,join(composition(top,top),X1)) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(composition(top,top),X1)),join(one,join(composition(top,top),X1))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3327,plain,
( join(composition(top,top),X1) != top
| join(one,join(composition(top,top),X1)) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(one,join(composition(top,top),X1)),join(one,join(composition(top,top),X1))) )],[refute_0_3325,refute_0_3326]) ).
cnf(refute_0_3328,plain,
join(one,join(composition(top,top),X1)) = join(one,top),
inference(resolve,[$cnf( $equal(join(composition(top,top),X1),top) )],[refute_0_3324,refute_0_3327]) ).
cnf(refute_0_3329,plain,
( join(one,join(composition(top,top),X1)) != join(one,top)
| join(one,top) != top
| join(one,join(composition(top,top),X1)) = top ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,join(composition(top,top),X1)))),bind(Y,$fot(join(one,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3330,plain,
( join(one,top) != top
| join(one,join(composition(top,top),X1)) = top ),
inference(resolve,[$cnf( $equal(join(one,join(composition(top,top),X1)),join(one,top)) )],[refute_0_3328,refute_0_3329]) ).
cnf(refute_0_3331,plain,
join(one,join(composition(top,top),X1)) = top,
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2059,refute_0_3330]) ).
cnf(refute_0_3332,plain,
composition(join(one,join(composition(top,top),X1)),top) = composition(join(one,join(composition(top,top),X1)),top),
introduced(tautology,[refl,[$fot(composition(join(one,join(composition(top,top),X1)),top))]]) ).
cnf(refute_0_3333,plain,
( composition(join(one,join(composition(top,top),X1)),top) != composition(join(one,join(composition(top,top),X1)),top)
| join(one,join(composition(top,top),X1)) != top
| composition(join(one,join(composition(top,top),X1)),top) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(composition(top,top),X1)),top),composition(join(one,join(composition(top,top),X1)),top)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3334,plain,
( join(one,join(composition(top,top),X1)) != top
| composition(join(one,join(composition(top,top),X1)),top) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(composition(top,top),X1)),top),composition(join(one,join(composition(top,top),X1)),top)) )],[refute_0_3332,refute_0_3333]) ).
cnf(refute_0_3335,plain,
composition(join(one,join(composition(top,top),X1)),top) = composition(top,top),
inference(resolve,[$cnf( $equal(join(one,join(composition(top,top),X1)),top) )],[refute_0_3331,refute_0_3334]) ).
cnf(refute_0_3336,plain,
( composition(join(one,join(composition(top,top),X1)),top) != composition(top,top)
| composition(join(one,join(composition(top,top),X1)),top) != top
| composition(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(composition(top,top),X1)),top),top) ),[0],$fot(composition(top,top))]]) ).
cnf(refute_0_3337,plain,
( composition(join(one,join(composition(top,top),X1)),top) != top
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(composition(join(one,join(composition(top,top),X1)),top),composition(top,top)) )],[refute_0_3335,refute_0_3336]) ).
cnf(refute_0_3338,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(composition(join(one,join(composition(top,top),X1)),top),top) )],[refute_0_3311,refute_0_3337]) ).
cnf(refute_0_3339,plain,
join(one,composition(top,top)) = join(one,composition(top,top)),
introduced(tautology,[refl,[$fot(join(one,composition(top,top)))]]) ).
cnf(refute_0_3340,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_3341,plain,
( composition(top,top) != top
| join(one,composition(top,top)) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(one,composition(top,top)),join(one,composition(top,top))) )],[refute_0_3339,refute_0_3340]) ).
cnf(refute_0_3342,plain,
join(one,composition(top,top)) = join(one,top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_3338,refute_0_3341]) ).
cnf(refute_0_3343,plain,
( join(one,composition(top,top)) != join(one,top)
| join(one,top) != top
| join(one,composition(top,top)) = top ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,composition(top,top)))),bind(Y,$fot(join(one,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3344,plain,
( join(one,top) != top
| join(one,composition(top,top)) = top ),
inference(resolve,[$cnf( $equal(join(one,composition(top,top)),join(one,top)) )],[refute_0_3342,refute_0_3343]) ).
cnf(refute_0_3345,plain,
join(one,composition(top,top)) = top,
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2059,refute_0_3344]) ).
cnf(refute_0_3346,plain,
composition(join(one,composition(top,top)),composition(top,X2)) = composition(join(one,composition(top,top)),composition(top,X2)),
introduced(tautology,[refl,[$fot(composition(join(one,composition(top,top)),composition(top,X2)))]]) ).
cnf(refute_0_3347,plain,
( composition(join(one,composition(top,top)),composition(top,X2)) != composition(join(one,composition(top,top)),composition(top,X2))
| join(one,composition(top,top)) != top
| composition(join(one,composition(top,top)),composition(top,X2)) = composition(top,composition(top,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,composition(top,top)),composition(top,X2)),composition(join(one,composition(top,top)),composition(top,X2))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3348,plain,
( join(one,composition(top,top)) != top
| composition(join(one,composition(top,top)),composition(top,X2)) = composition(top,composition(top,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(one,composition(top,top)),composition(top,X2)),composition(join(one,composition(top,top)),composition(top,X2))) )],[refute_0_3346,refute_0_3347]) ).
cnf(refute_0_3349,plain,
composition(join(one,composition(top,top)),composition(top,X2)) = composition(top,composition(top,X2)),
inference(resolve,[$cnf( $equal(join(one,composition(top,top)),top) )],[refute_0_3345,refute_0_3348]) ).
cnf(refute_0_3350,plain,
( composition(join(one,composition(top,top)),composition(top,X2)) != composition(top,X2)
| composition(join(one,composition(top,top)),composition(top,X2)) != composition(top,composition(top,X2))
| composition(top,composition(top,X2)) = composition(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,composition(top,top)),composition(top,X2)),composition(top,X2)) ),[0],$fot(composition(top,composition(top,X2)))]]) ).
cnf(refute_0_3351,plain,
( composition(join(one,composition(top,top)),composition(top,X2)) != composition(top,X2)
| composition(top,composition(top,X2)) = composition(top,X2) ),
inference(resolve,[$cnf( $equal(composition(join(one,composition(top,top)),composition(top,X2)),composition(top,composition(top,X2))) )],[refute_0_3349,refute_0_3350]) ).
cnf(refute_0_3352,plain,
composition(top,composition(top,X2)) = composition(top,X2),
inference(resolve,[$cnf( $equal(composition(join(one,composition(top,top)),composition(top,X2)),composition(top,X2)) )],[refute_0_3239,refute_0_3351]) ).
cnf(refute_0_3353,plain,
composition(top,composition(top,X_438)) = composition(top,X_438),
inference(subst,[],[refute_0_3352:[bind(X2,$fot(X_438))]]) ).
cnf(refute_0_3354,plain,
( composition(top,composition(top,X_438)) != composition(top,X_438)
| join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,composition(top,X_438))))) != complement(composition(top,X_438))
| join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) = complement(composition(top,X_438)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,composition(top,X_438))))),complement(composition(top,X_438))) ),[0,1,1,0],$fot(composition(top,X_438))]]) ).
cnf(refute_0_3355,plain,
( join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,composition(top,X_438))))) != complement(composition(top,X_438))
| join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) = complement(composition(top,X_438)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_438)),composition(top,X_438)) )],[refute_0_3353,refute_0_3354]) ).
cnf(refute_0_3356,plain,
join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) = complement(composition(top,X_438)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,composition(top,X_438))))),complement(composition(top,X_438))) )],[refute_0_3169,refute_0_3355]) ).
cnf(refute_0_3357,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_0_3358,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_3359,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_3357,refute_0_3358]) ).
cnf(refute_0_3360,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_2059,refute_0_3359]) ).
cnf(refute_0_3361,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3362,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_3360,refute_0_3361]) ).
cnf(refute_0_3363,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_893,refute_0_3362]) ).
cnf(refute_0_3364,plain,
converse(join(composition(converse(X0),X_12),one)) = join(one,converse(composition(converse(X0),X_12))),
inference(subst,[],[refute_0_139:[bind(X_25,$fot(composition(converse(X0),X_12)))]]) ).
cnf(refute_0_3365,plain,
( converse(composition(converse(X0),X_12)) != composition(converse(X_12),X0)
| converse(join(composition(converse(X0),X_12),one)) != join(one,converse(composition(converse(X0),X_12)))
| converse(join(composition(converse(X0),X_12),one)) = join(one,composition(converse(X_12),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(converse(X0),X_12),one)),join(one,converse(composition(converse(X0),X_12)))) ),[1,1],$fot(composition(converse(X_12),X0))]]) ).
cnf(refute_0_3366,plain,
( converse(join(composition(converse(X0),X_12),one)) != join(one,converse(composition(converse(X0),X_12)))
| converse(join(composition(converse(X0),X_12),one)) = join(one,composition(converse(X_12),X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_12)),composition(converse(X_12),X0)) )],[refute_0_98,refute_0_3365]) ).
cnf(refute_0_3367,plain,
converse(join(composition(converse(X0),X_12),one)) = join(one,composition(converse(X_12),X0)),
inference(resolve,[$cnf( $equal(converse(join(composition(converse(X0),X_12),one)),join(one,converse(composition(converse(X0),X_12)))) )],[refute_0_3364,refute_0_3366]) ).
cnf(refute_0_3368,plain,
converse(join(X_27,one)) = join(one,converse(X_27)),
inference(subst,[],[refute_0_139:[bind(X_25,$fot(X_27))]]) ).
cnf(refute_0_3369,plain,
join(one,X_27) = join(X_27,one),
inference(subst,[],[refute_0_3:[bind(X0,$fot(one)),bind(X1,$fot(X_27))]]) ).
cnf(refute_0_3370,plain,
( join(one,X_27) != join(X_27,one)
| join(X_27,one) = join(one,X_27) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(one,X_27))),bind(Y,$fot(join(X_27,one)))]]) ).
cnf(refute_0_3371,plain,
join(X_27,one) = join(one,X_27),
inference(resolve,[$cnf( $equal(join(one,X_27),join(X_27,one)) )],[refute_0_3369,refute_0_3370]) ).
cnf(refute_0_3372,plain,
( converse(join(X_27,one)) != join(one,converse(X_27))
| join(X_27,one) != join(one,X_27)
| converse(join(one,X_27)) = join(one,converse(X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_27,one)),join(one,converse(X_27))) ),[0,0],$fot(join(one,X_27))]]) ).
cnf(refute_0_3373,plain,
( converse(join(X_27,one)) != join(one,converse(X_27))
| converse(join(one,X_27)) = join(one,converse(X_27)) ),
inference(resolve,[$cnf( $equal(join(X_27,one),join(one,X_27)) )],[refute_0_3371,refute_0_3372]) ).
cnf(refute_0_3374,plain,
converse(join(one,X_27)) = join(one,converse(X_27)),
inference(resolve,[$cnf( $equal(converse(join(X_27,one)),join(one,converse(X_27))) )],[refute_0_3368,refute_0_3373]) ).
cnf(refute_0_3375,plain,
join(one,converse(X_27)) = converse(join(X_27,one)),
inference(subst,[],[refute_0_145:[bind(X_25,$fot(X_27))]]) ).
cnf(refute_0_3376,plain,
( converse(join(one,X_27)) != join(one,converse(X_27))
| join(one,converse(X_27)) != converse(join(X_27,one))
| converse(join(one,X_27)) = converse(join(X_27,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,X_27)),converse(join(X_27,one))) ),[0],$fot(join(one,converse(X_27)))]]) ).
cnf(refute_0_3377,plain,
( converse(join(one,X_27)) != join(one,converse(X_27))
| converse(join(one,X_27)) = converse(join(X_27,one)) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_27)),converse(join(X_27,one))) )],[refute_0_3375,refute_0_3376]) ).
cnf(refute_0_3378,plain,
converse(join(one,X_27)) = converse(join(X_27,one)),
inference(resolve,[$cnf( $equal(converse(join(one,X_27)),join(one,converse(X_27))) )],[refute_0_3374,refute_0_3377]) ).
cnf(refute_0_3379,plain,
( converse(join(one,X_27)) != converse(join(X_27,one))
| converse(join(X_27,one)) = converse(join(one,X_27)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(one,X_27)))),bind(Y,$fot(converse(join(X_27,one))))]]) ).
cnf(refute_0_3380,plain,
converse(join(X_27,one)) = converse(join(one,X_27)),
inference(resolve,[$cnf( $equal(converse(join(one,X_27)),converse(join(X_27,one))) )],[refute_0_3378,refute_0_3379]) ).
cnf(refute_0_3381,plain,
converse(join(composition(converse(X0),X_12),one)) = converse(join(one,composition(converse(X0),X_12))),
inference(subst,[],[refute_0_3380:[bind(X_27,$fot(composition(converse(X0),X_12)))]]) ).
cnf(refute_0_3382,plain,
( converse(join(composition(converse(X0),X_12),one)) != converse(join(one,composition(converse(X0),X_12)))
| converse(join(composition(converse(X0),X_12),one)) != join(one,composition(converse(X_12),X0))
| converse(join(one,composition(converse(X0),X_12))) = join(one,composition(converse(X_12),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(converse(X0),X_12),one)),join(one,composition(converse(X_12),X0))) ),[0],$fot(converse(join(one,composition(converse(X0),X_12))))]]) ).
cnf(refute_0_3383,plain,
( converse(join(composition(converse(X0),X_12),one)) != join(one,composition(converse(X_12),X0))
| converse(join(one,composition(converse(X0),X_12))) = join(one,composition(converse(X_12),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(composition(converse(X0),X_12),one)),converse(join(one,composition(converse(X0),X_12)))) )],[refute_0_3381,refute_0_3382]) ).
cnf(refute_0_3384,plain,
converse(join(one,composition(converse(X0),X_12))) = join(one,composition(converse(X_12),X0)),
inference(resolve,[$cnf( $equal(converse(join(composition(converse(X0),X_12),one)),join(one,composition(converse(X_12),X0))) )],[refute_0_3367,refute_0_3383]) ).
cnf(refute_0_3385,plain,
converse(join(one,composition(converse(join(one,meet(one,X_398))),X_12))) = join(one,composition(converse(X_12),join(one,meet(one,X_398)))),
inference(subst,[],[refute_0_3384:[bind(X0,$fot(join(one,meet(one,X_398))))]]) ).
cnf(refute_0_3386,plain,
converse(join(meet(X_397,one),one)) = join(one,converse(meet(X_397,one))),
inference(subst,[],[refute_0_139:[bind(X_25,$fot(meet(X_397,one)))]]) ).
cnf(refute_0_3387,plain,
X_96 = join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one)))))))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(X_96)),bind(X1,$fot(converse(join(one,complement(converse(join(complement(X_96),one)))))))]]) ).
cnf(refute_0_3388,plain,
converse(top) = join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35))))),
inference(subst,[],[refute_0_819:[bind(X_28,$fot(join(X_34,X_35)))]]) ).
cnf(refute_0_3389,plain,
join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35)))))) = join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35))))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_34)),bind(X1,$fot(X_35)),bind(X2,$fot(converse(complement(converse(join(X_34,X_35))))))]]) ).
cnf(refute_0_3390,plain,
( join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35)))))) != join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35)))))
| join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35))))) = join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35)))))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35)))))))),bind(Y,$fot(join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35)))))))]]) ).
cnf(refute_0_3391,plain,
join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35))))) = join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35)))))),
inference(resolve,[$cnf( $equal(join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35)))))),join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35)))))) )],[refute_0_3389,refute_0_3390]) ).
cnf(refute_0_3392,plain,
( converse(top) != join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35)))))
| join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35))))) != join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35))))))
| converse(top) = join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35))))))) ),[0],$fot(join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35))))))]]) ).
cnf(refute_0_3393,plain,
( converse(top) != join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35)))))
| converse(top) = join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35))))),join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35))))))) )],[refute_0_3391,refute_0_3392]) ).
cnf(refute_0_3394,plain,
converse(top) = join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_34,X_35),converse(complement(converse(join(X_34,X_35)))))) )],[refute_0_3388,refute_0_3393]) ).
cnf(refute_0_3395,plain,
( converse(top) != join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35))))))
| converse(top) != top
| top = join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3396,plain,
( converse(top) != join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35))))))
| top = join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_893,refute_0_3395]) ).
cnf(refute_0_3397,plain,
top = join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_34,join(X_35,converse(complement(converse(join(X_34,X_35))))))) )],[refute_0_3394,refute_0_3396]) ).
cnf(refute_0_3398,plain,
top = join(X_86,join(one,converse(complement(converse(join(X_86,one)))))),
inference(subst,[],[refute_0_3397:[bind(X_34,$fot(X_86)),bind(X_35,$fot(one))]]) ).
cnf(refute_0_3399,plain,
converse(join(complement(converse(join(X_86,one))),one)) = join(one,converse(complement(converse(join(X_86,one))))),
inference(subst,[],[refute_0_139:[bind(X_25,$fot(complement(converse(join(X_86,one)))))]]) ).
cnf(refute_0_3400,plain,
( converse(join(complement(converse(join(X_86,one))),one)) != join(one,converse(complement(converse(join(X_86,one)))))
| join(one,converse(complement(converse(join(X_86,one))))) = converse(join(complement(converse(join(X_86,one))),one)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(complement(converse(join(X_86,one))),one)))),bind(Y,$fot(join(one,converse(complement(converse(join(X_86,one)))))))]]) ).
cnf(refute_0_3401,plain,
join(one,converse(complement(converse(join(X_86,one))))) = converse(join(complement(converse(join(X_86,one))),one)),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(join(X_86,one))),one)),join(one,converse(complement(converse(join(X_86,one)))))) )],[refute_0_3399,refute_0_3400]) ).
cnf(refute_0_3402,plain,
( join(one,converse(complement(converse(join(X_86,one))))) != converse(join(complement(converse(join(X_86,one))),one))
| top != join(X_86,join(one,converse(complement(converse(join(X_86,one))))))
| top = join(X_86,converse(join(complement(converse(join(X_86,one))),one))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_86,join(one,converse(complement(converse(join(X_86,one))))))) ),[1,1],$fot(converse(join(complement(converse(join(X_86,one))),one)))]]) ).
cnf(refute_0_3403,plain,
( top != join(X_86,join(one,converse(complement(converse(join(X_86,one))))))
| top = join(X_86,converse(join(complement(converse(join(X_86,one))),one))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(join(X_86,one))))),converse(join(complement(converse(join(X_86,one))),one))) )],[refute_0_3401,refute_0_3402]) ).
cnf(refute_0_3404,plain,
top = join(X_86,converse(join(complement(converse(join(X_86,one))),one))),
inference(resolve,[$cnf( $equal(top,join(X_86,join(one,converse(complement(converse(join(X_86,one))))))) )],[refute_0_3398,refute_0_3403]) ).
cnf(refute_0_3405,plain,
converse(join(converse(X0),join(X_45,X_44))) = join(X0,converse(join(X_45,X_44))),
inference(subst,[],[refute_0_812:[bind(X_26,$fot(join(X_45,X_44)))]]) ).
cnf(refute_0_3406,plain,
converse(join(X_45,X_44)) = converse(join(X_44,X_45)),
inference(subst,[],[refute_0_830:[bind(X_25,$fot(X_44)),bind(X_26,$fot(X_45))]]) ).
cnf(refute_0_3407,plain,
( converse(join(X_45,X_44)) != converse(join(X_44,X_45))
| converse(join(converse(X0),join(X_45,X_44))) != join(X0,converse(join(X_45,X_44)))
| converse(join(converse(X0),join(X_45,X_44))) = join(X0,converse(join(X_44,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_45,X_44))),join(X0,converse(join(X_45,X_44)))) ),[1,1],$fot(converse(join(X_44,X_45)))]]) ).
cnf(refute_0_3408,plain,
( converse(join(converse(X0),join(X_45,X_44))) != join(X0,converse(join(X_45,X_44)))
| converse(join(converse(X0),join(X_45,X_44))) = join(X0,converse(join(X_44,X_45))) ),
inference(resolve,[$cnf( $equal(converse(join(X_45,X_44)),converse(join(X_44,X_45))) )],[refute_0_3406,refute_0_3407]) ).
cnf(refute_0_3409,plain,
converse(join(converse(X0),join(X_45,X_44))) = join(X0,converse(join(X_44,X_45))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_45,X_44))),join(X0,converse(join(X_45,X_44)))) )],[refute_0_3405,refute_0_3408]) ).
cnf(refute_0_3410,plain,
( converse(join(converse(X0),join(X_45,X_44))) != join(X0,converse(join(X_44,X_45)))
| converse(join(converse(X0),join(X_45,X_44))) != join(X0,converse(join(X_45,X_44)))
| join(X0,converse(join(X_45,X_44))) = join(X0,converse(join(X_44,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_45,X_44))),join(X0,converse(join(X_44,X_45)))) ),[0],$fot(join(X0,converse(join(X_45,X_44))))]]) ).
cnf(refute_0_3411,plain,
( converse(join(converse(X0),join(X_45,X_44))) != join(X0,converse(join(X_44,X_45)))
| join(X0,converse(join(X_45,X_44))) = join(X0,converse(join(X_44,X_45))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_45,X_44))),join(X0,converse(join(X_45,X_44)))) )],[refute_0_3405,refute_0_3410]) ).
cnf(refute_0_3412,plain,
join(X0,converse(join(X_45,X_44))) = join(X0,converse(join(X_44,X_45))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_45,X_44))),join(X0,converse(join(X_44,X_45)))) )],[refute_0_3409,refute_0_3411]) ).
cnf(refute_0_3413,plain,
( join(X0,converse(join(X_45,X_44))) != join(X0,converse(join(X_44,X_45)))
| join(X0,converse(join(X_44,X_45))) = join(X0,converse(join(X_45,X_44))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,converse(join(X_45,X_44))))),bind(Y,$fot(join(X0,converse(join(X_44,X_45)))))]]) ).
cnf(refute_0_3414,plain,
join(X0,converse(join(X_44,X_45))) = join(X0,converse(join(X_45,X_44))),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_45,X_44))),join(X0,converse(join(X_44,X_45)))) )],[refute_0_3412,refute_0_3413]) ).
cnf(refute_0_3415,plain,
join(X_86,converse(join(complement(converse(join(X_86,one))),one))) = join(X_86,converse(join(one,complement(converse(join(X_86,one)))))),
inference(subst,[],[refute_0_3414:[bind(X0,$fot(X_86)),bind(X_44,$fot(complement(converse(join(X_86,one))))),bind(X_45,$fot(one))]]) ).
cnf(refute_0_3416,plain,
( join(X_86,converse(join(complement(converse(join(X_86,one))),one))) != join(X_86,converse(join(one,complement(converse(join(X_86,one))))))
| top != join(X_86,converse(join(complement(converse(join(X_86,one))),one)))
| top = join(X_86,converse(join(one,complement(converse(join(X_86,one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_86,converse(join(complement(converse(join(X_86,one))),one)))) ),[1],$fot(join(X_86,converse(join(one,complement(converse(join(X_86,one)))))))]]) ).
cnf(refute_0_3417,plain,
( top != join(X_86,converse(join(complement(converse(join(X_86,one))),one)))
| top = join(X_86,converse(join(one,complement(converse(join(X_86,one)))))) ),
inference(resolve,[$cnf( $equal(join(X_86,converse(join(complement(converse(join(X_86,one))),one))),join(X_86,converse(join(one,complement(converse(join(X_86,one))))))) )],[refute_0_3415,refute_0_3416]) ).
cnf(refute_0_3418,plain,
top = join(X_86,converse(join(one,complement(converse(join(X_86,one)))))),
inference(resolve,[$cnf( $equal(top,join(X_86,converse(join(complement(converse(join(X_86,one))),one)))) )],[refute_0_3404,refute_0_3417]) ).
cnf(refute_0_3419,plain,
top = join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one)))))),
inference(subst,[],[refute_0_3418:[bind(X_86,$fot(complement(X_96)))]]) ).
cnf(refute_0_3420,plain,
( top != join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one))))))
| join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one)))))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one))))))))]]) ).
cnf(refute_0_3421,plain,
join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one)))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one))))))) )],[refute_0_3419,refute_0_3420]) ).
cnf(refute_0_3422,plain,
( X_96 != join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one))))))))
| join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one)))))) != top
| X_96 = join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_96,join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one))))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_3423,plain,
( X_96 != join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one))))))))
| X_96 = join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one)))))),top) )],[refute_0_3421,refute_0_3422]) ).
cnf(refute_0_3424,plain,
X_96 = join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(join(complement(X_96),converse(join(one,complement(converse(join(complement(X_96),one))))))))) )],[refute_0_3387,refute_0_3423]) ).
cnf(refute_0_3425,plain,
converse(join(complement(X_96),one)) = converse(join(one,complement(X_96))),
inference(subst,[],[refute_0_3189:[bind(X_29,$fot(complement(X_96)))]]) ).
cnf(refute_0_3426,plain,
complement(converse(join(complement(X_96),one))) = complement(converse(join(complement(X_96),one))),
introduced(tautology,[refl,[$fot(complement(converse(join(complement(X_96),one))))]]) ).
cnf(refute_0_3427,plain,
( complement(converse(join(complement(X_96),one))) != complement(converse(join(complement(X_96),one)))
| converse(join(complement(X_96),one)) != converse(join(one,complement(X_96)))
| complement(converse(join(complement(X_96),one))) = complement(converse(join(one,complement(X_96)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(X_96),one))),complement(converse(join(complement(X_96),one)))) ),[1,0],$fot(converse(join(one,complement(X_96))))]]) ).
cnf(refute_0_3428,plain,
( converse(join(complement(X_96),one)) != converse(join(one,complement(X_96)))
| complement(converse(join(complement(X_96),one))) = complement(converse(join(one,complement(X_96)))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(X_96),one))),complement(converse(join(complement(X_96),one)))) )],[refute_0_3426,refute_0_3427]) ).
cnf(refute_0_3429,plain,
complement(converse(join(complement(X_96),one))) = complement(converse(join(one,complement(X_96)))),
inference(resolve,[$cnf( $equal(converse(join(complement(X_96),one)),converse(join(one,complement(X_96)))) )],[refute_0_3425,refute_0_3428]) ).
cnf(refute_0_3430,plain,
join(one,complement(converse(join(complement(X_96),one)))) = join(one,complement(converse(join(complement(X_96),one)))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(join(complement(X_96),one)))))]]) ).
cnf(refute_0_3431,plain,
( complement(converse(join(complement(X_96),one))) != complement(converse(join(one,complement(X_96))))
| join(one,complement(converse(join(complement(X_96),one)))) != join(one,complement(converse(join(complement(X_96),one))))
| join(one,complement(converse(join(complement(X_96),one)))) = join(one,complement(converse(join(one,complement(X_96))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(join(complement(X_96),one)))),join(one,complement(converse(join(complement(X_96),one))))) ),[1,1],$fot(complement(converse(join(one,complement(X_96)))))]]) ).
cnf(refute_0_3432,plain,
( complement(converse(join(complement(X_96),one))) != complement(converse(join(one,complement(X_96))))
| join(one,complement(converse(join(complement(X_96),one)))) = join(one,complement(converse(join(one,complement(X_96))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(complement(X_96),one)))),join(one,complement(converse(join(complement(X_96),one))))) )],[refute_0_3430,refute_0_3431]) ).
cnf(refute_0_3433,plain,
join(one,complement(converse(join(complement(X_96),one)))) = join(one,complement(converse(join(one,complement(X_96))))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(X_96),one))),complement(converse(join(one,complement(X_96))))) )],[refute_0_3429,refute_0_3432]) ).
cnf(refute_0_3434,plain,
converse(join(one,complement(converse(join(complement(X_96),one))))) = converse(join(one,complement(converse(join(complement(X_96),one))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(join(complement(X_96),one))))))]]) ).
cnf(refute_0_3435,plain,
( converse(join(one,complement(converse(join(complement(X_96),one))))) != converse(join(one,complement(converse(join(complement(X_96),one)))))
| join(one,complement(converse(join(complement(X_96),one)))) != join(one,complement(converse(join(one,complement(X_96)))))
| converse(join(one,complement(converse(join(complement(X_96),one))))) = converse(join(one,complement(converse(join(one,complement(X_96)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(join(complement(X_96),one))))),converse(join(one,complement(converse(join(complement(X_96),one)))))) ),[1,0],$fot(join(one,complement(converse(join(one,complement(X_96))))))]]) ).
cnf(refute_0_3436,plain,
( join(one,complement(converse(join(complement(X_96),one)))) != join(one,complement(converse(join(one,complement(X_96)))))
| converse(join(one,complement(converse(join(complement(X_96),one))))) = converse(join(one,complement(converse(join(one,complement(X_96)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(complement(X_96),one))))),converse(join(one,complement(converse(join(complement(X_96),one)))))) )],[refute_0_3434,refute_0_3435]) ).
cnf(refute_0_3437,plain,
converse(join(one,complement(converse(join(complement(X_96),one))))) = converse(join(one,complement(converse(join(one,complement(X_96)))))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(complement(X_96),one)))),join(one,complement(converse(join(one,complement(X_96)))))) )],[refute_0_3433,refute_0_3436]) ).
cnf(refute_0_3438,plain,
meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))) = meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),
introduced(tautology,[refl,[$fot(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))))]]) ).
cnf(refute_0_3439,plain,
( converse(join(one,complement(converse(join(complement(X_96),one))))) != converse(join(one,complement(converse(join(one,complement(X_96))))))
| meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))) != meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))
| meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))) = meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) ),[1,1],$fot(converse(join(one,complement(converse(join(one,complement(X_96)))))))]]) ).
cnf(refute_0_3440,plain,
( converse(join(one,complement(converse(join(complement(X_96),one))))) != converse(join(one,complement(converse(join(one,complement(X_96))))))
| meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))) = meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))) ),
inference(resolve,[$cnf( $equal(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) )],[refute_0_3438,refute_0_3439]) ).
cnf(refute_0_3441,plain,
meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))) = meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(complement(X_96),one))))),converse(join(one,complement(converse(join(one,complement(X_96))))))) )],[refute_0_3437,refute_0_3440]) ).
cnf(refute_0_3442,plain,
join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) = join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))))]]) ).
cnf(refute_0_3443,plain,
( join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) != join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))))
| meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))) != meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))
| join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) = join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))),join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))))) ),[1,1],$fot(meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))]]) ).
cnf(refute_0_3444,plain,
( meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))) != meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))
| join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) = join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))),join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))))) )],[refute_0_3442,refute_0_3443]) ).
cnf(refute_0_3445,plain,
join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) = join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))),
inference(resolve,[$cnf( $equal(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) )],[refute_0_3441,refute_0_3444]) ).
cnf(refute_0_3446,plain,
join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) = join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))))]]) ).
cnf(refute_0_3447,plain,
( complement(top) != zero
| join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) != join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))))
| join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) = join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))),join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3448,plain,
( complement(top) != zero
| join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) = join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))),join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))))) )],[refute_0_3446,refute_0_3447]) ).
cnf(refute_0_3449,plain,
join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) = join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_3448]) ).
cnf(refute_0_3450,plain,
( join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) != join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))))
| join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) != join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))
| join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) = join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))))),bind(Y,$fot(join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))))),bind(Z,$fot(join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))))]]) ).
cnf(refute_0_3451,plain,
( join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) != join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))
| join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) = join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))),join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))))) )],[refute_0_3449,refute_0_3450]) ).
cnf(refute_0_3452,plain,
join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) = join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))),join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))) )],[refute_0_3445,refute_0_3451]) ).
cnf(refute_0_3453,plain,
join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)) = join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))))]]) ).
cnf(refute_0_3454,plain,
( join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) != join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))
| join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)) != join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))))
| join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)) = join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))))),bind(Z,$fot(join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))))]]) ).
cnf(refute_0_3455,plain,
( join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))) != join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))
| join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)) = join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)),join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))))) )],[refute_0_3453,refute_0_3454]) ).
cnf(refute_0_3456,plain,
join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)) = join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one))))))),join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))) )],[refute_0_3452,refute_0_3455]) ).
cnf(refute_0_3457,plain,
( X_96 != join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top))
| join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)) != join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))
| X_96 = join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))) ),[0],$fot(join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)))]]) ).
cnf(refute_0_3458,plain,
( X_96 != join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top))
| X_96 = join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top)),join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))) )],[refute_0_3456,refute_0_3457]) ).
cnf(refute_0_3459,plain,
X_96 = join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))),
inference(resolve,[$cnf( $equal(X_96,join(meet(X_96,converse(join(one,complement(converse(join(complement(X_96),one)))))),complement(top))) )],[refute_0_3424,refute_0_3458]) ).
cnf(refute_0_3460,plain,
join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) = meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))))]]) ).
cnf(refute_0_3461,plain,
( X_96 != join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))
| join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) != meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))
| X_96 = meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_96,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) ),[0],$fot(join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))))]]) ).
cnf(refute_0_3462,plain,
( X_96 != join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))
| X_96 = meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))),meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96)))))))) )],[refute_0_3460,refute_0_3461]) ).
cnf(refute_0_3463,plain,
X_96 = meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))),
inference(resolve,[$cnf( $equal(X_96,join(zero,meet(X_96,converse(join(one,complement(converse(join(one,complement(X_96))))))))) )],[refute_0_3459,refute_0_3462]) ).
cnf(refute_0_3464,plain,
complement(X1) = meet(complement(X1),converse(join(one,complement(converse(join(one,complement(complement(X1)))))))),
inference(subst,[],[refute_0_3463:[bind(X_96,$fot(complement(X1)))]]) ).
cnf(refute_0_3465,plain,
( complement(X1) != meet(complement(X1),converse(join(one,complement(converse(join(one,complement(complement(X1))))))))
| complement(complement(X1)) != X1
| complement(X1) = meet(complement(X1),converse(join(one,complement(converse(join(one,X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X1),meet(complement(X1),converse(join(one,complement(converse(join(one,complement(complement(X1))))))))) ),[1,1,0,1,0,0,1],$fot(X1)]]) ).
cnf(refute_0_3466,plain,
( complement(X1) != meet(complement(X1),converse(join(one,complement(converse(join(one,complement(complement(X1))))))))
| complement(X1) = meet(complement(X1),converse(join(one,complement(converse(join(one,X1)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_3465]) ).
cnf(refute_0_3467,plain,
complement(X1) = meet(complement(X1),converse(join(one,complement(converse(join(one,X1)))))),
inference(resolve,[$cnf( $equal(complement(X1),meet(complement(X1),converse(join(one,complement(converse(join(one,complement(complement(X1))))))))) )],[refute_0_3464,refute_0_3466]) ).
cnf(refute_0_3468,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(join(one,complement(converse(join(one,converse(X0))))))),
inference(subst,[],[refute_0_3467:[bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_3469,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(join(one,complement(converse(join(one,converse(X0)))))))
| converse(join(one,converse(X0))) != join(converse(one),X0)
| complement(converse(X0)) = meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(join(one,complement(converse(join(one,converse(X0)))))))) ),[1,1,0,1,0],$fot(join(converse(one),X0))]]) ).
cnf(refute_0_3470,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(join(one,complement(converse(join(one,converse(X0)))))))
| complement(converse(X0)) = meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(converse(one),X0)) )],[refute_0_3029,refute_0_3469]) ).
cnf(refute_0_3471,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))),
inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(join(one,complement(converse(join(one,converse(X0)))))))) )],[refute_0_3468,refute_0_3470]) ).
cnf(refute_0_3472,plain,
complement(join(converse(one),X0)) = complement(join(converse(one),X0)),
introduced(tautology,[refl,[$fot(complement(join(converse(one),X0)))]]) ).
cnf(refute_0_3473,plain,
( complement(join(converse(one),X0)) != complement(join(converse(one),X0))
| join(converse(one),X0) != join(one,X0)
| complement(join(converse(one),X0)) = complement(join(one,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(one),X0)),complement(join(converse(one),X0))) ),[1,0],$fot(join(one,X0))]]) ).
cnf(refute_0_3474,plain,
( join(converse(one),X0) != join(one,X0)
| complement(join(converse(one),X0)) = complement(join(one,X0)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(one),X0)),complement(join(converse(one),X0))) )],[refute_0_3472,refute_0_3473]) ).
cnf(refute_0_3475,plain,
complement(join(converse(one),X0)) = complement(join(one,X0)),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(one,X0)) )],[refute_0_3028,refute_0_3474]) ).
cnf(refute_0_3476,plain,
join(one,complement(join(converse(one),X0))) = join(one,complement(join(converse(one),X0))),
introduced(tautology,[refl,[$fot(join(one,complement(join(converse(one),X0))))]]) ).
cnf(refute_0_3477,plain,
( complement(join(converse(one),X0)) != complement(join(one,X0))
| join(one,complement(join(converse(one),X0))) != join(one,complement(join(converse(one),X0)))
| join(one,complement(join(converse(one),X0))) = join(one,complement(join(one,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(converse(one),X0))),join(one,complement(join(converse(one),X0)))) ),[1,1],$fot(complement(join(one,X0)))]]) ).
cnf(refute_0_3478,plain,
( complement(join(converse(one),X0)) != complement(join(one,X0))
| join(one,complement(join(converse(one),X0))) = join(one,complement(join(one,X0))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(converse(one),X0))),join(one,complement(join(converse(one),X0)))) )],[refute_0_3476,refute_0_3477]) ).
cnf(refute_0_3479,plain,
join(one,complement(join(converse(one),X0))) = join(one,complement(join(one,X0))),
inference(resolve,[$cnf( $equal(complement(join(converse(one),X0)),complement(join(one,X0))) )],[refute_0_3475,refute_0_3478]) ).
cnf(refute_0_3480,plain,
converse(join(one,complement(join(converse(one),X0)))) = converse(join(one,complement(join(converse(one),X0)))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(join(converse(one),X0)))))]]) ).
cnf(refute_0_3481,plain,
( converse(join(one,complement(join(converse(one),X0)))) != converse(join(one,complement(join(converse(one),X0))))
| join(one,complement(join(converse(one),X0))) != join(one,complement(join(one,X0)))
| converse(join(one,complement(join(converse(one),X0)))) = converse(join(one,complement(join(one,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(converse(one),X0)))),converse(join(one,complement(join(converse(one),X0))))) ),[1,0],$fot(join(one,complement(join(one,X0))))]]) ).
cnf(refute_0_3482,plain,
( join(one,complement(join(converse(one),X0))) != join(one,complement(join(one,X0)))
| converse(join(one,complement(join(converse(one),X0)))) = converse(join(one,complement(join(one,X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(converse(one),X0)))),converse(join(one,complement(join(converse(one),X0))))) )],[refute_0_3480,refute_0_3481]) ).
cnf(refute_0_3483,plain,
converse(join(one,complement(join(converse(one),X0)))) = converse(join(one,complement(join(one,X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(join(converse(one),X0))),join(one,complement(join(one,X0)))) )],[refute_0_3479,refute_0_3482]) ).
cnf(refute_0_3484,plain,
meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))) = meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))),
introduced(tautology,[refl,[$fot(meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))))]]) ).
cnf(refute_0_3485,plain,
( converse(join(one,complement(join(converse(one),X0)))) != converse(join(one,complement(join(one,X0))))
| meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))) != meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0)))))
| meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))) = meet(complement(converse(X0)),converse(join(one,complement(join(one,X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))),meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0)))))) ),[1,1],$fot(converse(join(one,complement(join(one,X0)))))]]) ).
cnf(refute_0_3486,plain,
( converse(join(one,complement(join(converse(one),X0)))) != converse(join(one,complement(join(one,X0))))
| meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))) = meet(complement(converse(X0)),converse(join(one,complement(join(one,X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))),meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0)))))) )],[refute_0_3484,refute_0_3485]) ).
cnf(refute_0_3487,plain,
meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))) = meet(complement(converse(X0)),converse(join(one,complement(join(one,X0))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(converse(one),X0)))),converse(join(one,complement(join(one,X0))))) )],[refute_0_3483,refute_0_3486]) ).
cnf(refute_0_3488,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0)))))
| meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))) != meet(complement(converse(X0)),converse(join(one,complement(join(one,X0)))))
| complement(converse(X0)) = meet(complement(converse(X0)),converse(join(one,complement(join(one,X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(join(one,complement(join(one,X0)))))) ),[0],$fot(meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))))]]) ).
cnf(refute_0_3489,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0)))))
| complement(converse(X0)) = meet(complement(converse(X0)),converse(join(one,complement(join(one,X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0))))),meet(complement(converse(X0)),converse(join(one,complement(join(one,X0)))))) )],[refute_0_3487,refute_0_3488]) ).
cnf(refute_0_3490,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(join(one,complement(join(one,X0))))),
inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(join(one,complement(join(converse(one),X0)))))) )],[refute_0_3471,refute_0_3489]) ).
cnf(refute_0_3491,plain,
complement(converse(join(X_42,complement(one)))) = meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(join(one,join(X_42,complement(one))))))),
inference(subst,[],[refute_0_3490:[bind(X0,$fot(join(X_42,complement(one))))]]) ).
cnf(refute_0_3492,plain,
join(one,join(X_42,complement(one))) = top,
inference(subst,[],[refute_0_1027:[bind(X_41,$fot(one))]]) ).
cnf(refute_0_3493,plain,
( complement(converse(join(X_42,complement(one)))) != meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(join(one,join(X_42,complement(one)))))))
| join(one,join(X_42,complement(one))) != top
| complement(converse(join(X_42,complement(one)))) = meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(X_42,complement(one)))),meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(join(one,join(X_42,complement(one)))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_3494,plain,
( complement(converse(join(X_42,complement(one)))) != meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(join(one,join(X_42,complement(one)))))))
| complement(converse(join(X_42,complement(one)))) = meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_42,complement(one))),top) )],[refute_0_3492,refute_0_3493]) ).
cnf(refute_0_3495,plain,
complement(converse(join(X_42,complement(one)))) = meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))),
inference(resolve,[$cnf( $equal(complement(converse(join(X_42,complement(one)))),meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(join(one,join(X_42,complement(one)))))))) )],[refute_0_3491,refute_0_3494]) ).
cnf(refute_0_3496,plain,
join(one,zero) = one,
inference(subst,[],[refute_0_677:[bind(X_98,$fot(one))]]) ).
cnf(refute_0_3497,plain,
join(one,complement(top)) = join(one,complement(top)),
introduced(tautology,[refl,[$fot(join(one,complement(top)))]]) ).
cnf(refute_0_3498,plain,
( complement(top) != zero
| join(one,complement(top)) != join(one,complement(top))
| join(one,complement(top)) = join(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(top)),join(one,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3499,plain,
( complement(top) != zero
| join(one,complement(top)) = join(one,zero) ),
inference(resolve,[$cnf( $equal(join(one,complement(top)),join(one,complement(top))) )],[refute_0_3497,refute_0_3498]) ).
cnf(refute_0_3500,plain,
join(one,complement(top)) = join(one,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_3499]) ).
cnf(refute_0_3501,plain,
( join(one,complement(top)) != join(one,zero)
| join(one,zero) != one
| join(one,complement(top)) = one ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,complement(top)))),bind(Y,$fot(join(one,zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_3502,plain,
( join(one,zero) != one
| join(one,complement(top)) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(top)),join(one,zero)) )],[refute_0_3500,refute_0_3501]) ).
cnf(refute_0_3503,plain,
join(one,complement(top)) = one,
inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_0_3496,refute_0_3502]) ).
cnf(refute_0_3504,plain,
converse(join(one,complement(top))) = converse(join(one,complement(top))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(top))))]]) ).
cnf(refute_0_3505,plain,
( converse(join(one,complement(top))) != converse(join(one,complement(top)))
| join(one,complement(top)) != one
| converse(join(one,complement(top))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(top))),converse(join(one,complement(top)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3506,plain,
( join(one,complement(top)) != one
| converse(join(one,complement(top))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(top))),converse(join(one,complement(top)))) )],[refute_0_3504,refute_0_3505]) ).
cnf(refute_0_3507,plain,
converse(join(one,complement(top))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,complement(top)),one) )],[refute_0_3503,refute_0_3506]) ).
cnf(refute_0_3508,plain,
( converse(join(one,complement(top))) != converse(one)
| converse(one) != one
| converse(join(one,complement(top))) = one ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(one,complement(top))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_3509,plain,
( converse(one) != one
| converse(join(one,complement(top))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(top))),converse(one)) )],[refute_0_3507,refute_0_3508]) ).
cnf(refute_0_3510,plain,
converse(join(one,complement(top))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_117,refute_0_3509]) ).
cnf(refute_0_3511,plain,
meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))) = meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))),
introduced(tautology,[refl,[$fot(meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))))]]) ).
cnf(refute_0_3512,plain,
( converse(join(one,complement(top))) != one
| meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))) != meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one)))))
| meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))) = meet(one,complement(converse(join(X_42,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))),meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3513,plain,
( converse(join(one,complement(top))) != one
| meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))) = meet(one,complement(converse(join(X_42,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))),meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one)))))) )],[refute_0_3511,refute_0_3512]) ).
cnf(refute_0_3514,plain,
meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))) = meet(one,complement(converse(join(X_42,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(top))),one) )],[refute_0_3510,refute_0_3513]) ).
cnf(refute_0_3515,plain,
meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))) = meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(converse(join(one,complement(top))))),bind(X_8,$fot(complement(converse(join(X_42,complement(one))))))]]) ).
cnf(refute_0_3516,plain,
( meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))) != meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one)))))
| meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))) != meet(one,complement(converse(join(X_42,complement(one)))))
| meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))) = meet(one,complement(converse(join(X_42,complement(one))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))))),bind(Y,$fot(meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))))),bind(Z,$fot(meet(one,complement(converse(join(X_42,complement(one)))))))]]) ).
cnf(refute_0_3517,plain,
( meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))) != meet(one,complement(converse(join(X_42,complement(one)))))
| meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))) = meet(one,complement(converse(join(X_42,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))),meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one)))))) )],[refute_0_3515,refute_0_3516]) ).
cnf(refute_0_3518,plain,
meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))) = meet(one,complement(converse(join(X_42,complement(one))))),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(top))),complement(converse(join(X_42,complement(one))))),meet(one,complement(converse(join(X_42,complement(one)))))) )],[refute_0_3514,refute_0_3517]) ).
cnf(refute_0_3519,plain,
( complement(converse(join(X_42,complement(one)))) != meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top))))
| meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))) != meet(one,complement(converse(join(X_42,complement(one)))))
| complement(converse(join(X_42,complement(one)))) = meet(one,complement(converse(join(X_42,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(join(X_42,complement(one)))),meet(one,complement(converse(join(X_42,complement(one)))))) ),[0],$fot(meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))))]]) ).
cnf(refute_0_3520,plain,
( complement(converse(join(X_42,complement(one)))) != meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top))))
| complement(converse(join(X_42,complement(one)))) = meet(one,complement(converse(join(X_42,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top)))),meet(one,complement(converse(join(X_42,complement(one)))))) )],[refute_0_3518,refute_0_3519]) ).
cnf(refute_0_3521,plain,
complement(converse(join(X_42,complement(one)))) = meet(one,complement(converse(join(X_42,complement(one))))),
inference(resolve,[$cnf( $equal(complement(converse(join(X_42,complement(one)))),meet(complement(converse(join(X_42,complement(one)))),converse(join(one,complement(top))))) )],[refute_0_3495,refute_0_3520]) ).
cnf(refute_0_3522,plain,
meet(complement(X_42),one) = meet(one,complement(X_42)),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(one)),bind(X_8,$fot(complement(X_42)))]]) ).
cnf(refute_0_3523,plain,
converse(meet(complement(X_42),one)) = converse(meet(complement(X_42),one)),
introduced(tautology,[refl,[$fot(converse(meet(complement(X_42),one)))]]) ).
cnf(refute_0_3524,plain,
( converse(meet(complement(X_42),one)) != converse(meet(complement(X_42),one))
| meet(complement(X_42),one) != meet(one,complement(X_42))
| converse(meet(complement(X_42),one)) = converse(meet(one,complement(X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(complement(X_42),one)),converse(meet(complement(X_42),one))) ),[1,0],$fot(meet(one,complement(X_42)))]]) ).
cnf(refute_0_3525,plain,
( meet(complement(X_42),one) != meet(one,complement(X_42))
| converse(meet(complement(X_42),one)) = converse(meet(one,complement(X_42))) ),
inference(resolve,[$cnf( $equal(converse(meet(complement(X_42),one)),converse(meet(complement(X_42),one))) )],[refute_0_3523,refute_0_3524]) ).
cnf(refute_0_3526,plain,
converse(meet(complement(X_42),one)) = converse(meet(one,complement(X_42))),
inference(resolve,[$cnf( $equal(meet(complement(X_42),one),meet(one,complement(X_42))) )],[refute_0_3522,refute_0_3525]) ).
cnf(refute_0_3527,plain,
converse(complement(join(X_293,complement(X_292)))) = complement(converse(join(X_293,complement(X_292)))),
inference(subst,[],[refute_0_987:[bind(X_231,$fot(join(X_293,complement(X_292))))]]) ).
cnf(refute_0_3528,plain,
( complement(join(X_293,complement(X_292))) != meet(complement(X_293),X_292)
| converse(complement(join(X_293,complement(X_292)))) != complement(converse(join(X_293,complement(X_292))))
| converse(meet(complement(X_293),X_292)) = complement(converse(join(X_293,complement(X_292)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(X_293,complement(X_292)))),complement(converse(join(X_293,complement(X_292))))) ),[0,0],$fot(meet(complement(X_293),X_292))]]) ).
cnf(refute_0_3529,plain,
( converse(complement(join(X_293,complement(X_292)))) != complement(converse(join(X_293,complement(X_292))))
| converse(meet(complement(X_293),X_292)) = complement(converse(join(X_293,complement(X_292)))) ),
inference(resolve,[$cnf( $equal(complement(join(X_293,complement(X_292))),meet(complement(X_293),X_292)) )],[refute_0_773,refute_0_3528]) ).
cnf(refute_0_3530,plain,
converse(meet(complement(X_293),X_292)) = complement(converse(join(X_293,complement(X_292)))),
inference(resolve,[$cnf( $equal(converse(complement(join(X_293,complement(X_292)))),complement(converse(join(X_293,complement(X_292))))) )],[refute_0_3527,refute_0_3529]) ).
cnf(refute_0_3531,plain,
( converse(meet(complement(X_293),X_292)) != complement(converse(join(X_293,complement(X_292))))
| complement(converse(join(X_293,complement(X_292)))) = converse(meet(complement(X_293),X_292)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(meet(complement(X_293),X_292)))),bind(Y,$fot(complement(converse(join(X_293,complement(X_292))))))]]) ).
cnf(refute_0_3532,plain,
complement(converse(join(X_293,complement(X_292)))) = converse(meet(complement(X_293),X_292)),
inference(resolve,[$cnf( $equal(converse(meet(complement(X_293),X_292)),complement(converse(join(X_293,complement(X_292))))) )],[refute_0_3530,refute_0_3531]) ).
cnf(refute_0_3533,plain,
complement(converse(join(X_42,complement(one)))) = converse(meet(complement(X_42),one)),
inference(subst,[],[refute_0_3532:[bind(X_292,$fot(one)),bind(X_293,$fot(X_42))]]) ).
cnf(refute_0_3534,plain,
( complement(converse(join(X_42,complement(one)))) != converse(meet(complement(X_42),one))
| converse(meet(complement(X_42),one)) != converse(meet(one,complement(X_42)))
| complement(converse(join(X_42,complement(one)))) = converse(meet(one,complement(X_42))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(complement(converse(join(X_42,complement(one)))))),bind(Y,$fot(converse(meet(complement(X_42),one)))),bind(Z,$fot(converse(meet(one,complement(X_42)))))]]) ).
cnf(refute_0_3535,plain,
( converse(meet(complement(X_42),one)) != converse(meet(one,complement(X_42)))
| complement(converse(join(X_42,complement(one)))) = converse(meet(one,complement(X_42))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(X_42,complement(one)))),converse(meet(complement(X_42),one))) )],[refute_0_3533,refute_0_3534]) ).
cnf(refute_0_3536,plain,
complement(converse(join(X_42,complement(one)))) = converse(meet(one,complement(X_42))),
inference(resolve,[$cnf( $equal(converse(meet(complement(X_42),one)),converse(meet(one,complement(X_42)))) )],[refute_0_3526,refute_0_3535]) ).
cnf(refute_0_3537,plain,
( complement(converse(join(X_42,complement(one)))) != converse(meet(one,complement(X_42)))
| complement(converse(join(X_42,complement(one)))) != meet(one,complement(converse(join(X_42,complement(one)))))
| converse(meet(one,complement(X_42))) = meet(one,complement(converse(join(X_42,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(X_42,complement(one)))),meet(one,complement(converse(join(X_42,complement(one)))))) ),[0],$fot(converse(meet(one,complement(X_42))))]]) ).
cnf(refute_0_3538,plain,
( complement(converse(join(X_42,complement(one)))) != meet(one,complement(converse(join(X_42,complement(one)))))
| converse(meet(one,complement(X_42))) = meet(one,complement(converse(join(X_42,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(X_42,complement(one)))),converse(meet(one,complement(X_42)))) )],[refute_0_3536,refute_0_3537]) ).
cnf(refute_0_3539,plain,
meet(one,complement(converse(join(X_42,complement(one))))) = meet(one,complement(converse(join(X_42,complement(one))))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(join(X_42,complement(one))))))]]) ).
cnf(refute_0_3540,plain,
( complement(converse(join(X_42,complement(one)))) != converse(meet(one,complement(X_42)))
| meet(one,complement(converse(join(X_42,complement(one))))) != meet(one,complement(converse(join(X_42,complement(one)))))
| meet(one,complement(converse(join(X_42,complement(one))))) = meet(one,converse(meet(one,complement(X_42)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(join(X_42,complement(one))))),meet(one,complement(converse(join(X_42,complement(one)))))) ),[1,1],$fot(converse(meet(one,complement(X_42))))]]) ).
cnf(refute_0_3541,plain,
( complement(converse(join(X_42,complement(one)))) != converse(meet(one,complement(X_42)))
| meet(one,complement(converse(join(X_42,complement(one))))) = meet(one,converse(meet(one,complement(X_42)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(X_42,complement(one))))),meet(one,complement(converse(join(X_42,complement(one)))))) )],[refute_0_3539,refute_0_3540]) ).
cnf(refute_0_3542,plain,
meet(one,complement(converse(join(X_42,complement(one))))) = meet(one,converse(meet(one,complement(X_42)))),
inference(resolve,[$cnf( $equal(complement(converse(join(X_42,complement(one)))),converse(meet(one,complement(X_42)))) )],[refute_0_3536,refute_0_3541]) ).
cnf(refute_0_3543,plain,
( converse(meet(one,complement(X_42))) != meet(one,complement(converse(join(X_42,complement(one)))))
| meet(one,complement(converse(join(X_42,complement(one))))) != meet(one,converse(meet(one,complement(X_42))))
| converse(meet(one,complement(X_42))) = meet(one,converse(meet(one,complement(X_42)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(X_42))),meet(one,converse(meet(one,complement(X_42))))) ),[0],$fot(meet(one,complement(converse(join(X_42,complement(one))))))]]) ).
cnf(refute_0_3544,plain,
( converse(meet(one,complement(X_42))) != meet(one,complement(converse(join(X_42,complement(one)))))
| converse(meet(one,complement(X_42))) = meet(one,converse(meet(one,complement(X_42)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(X_42,complement(one))))),meet(one,converse(meet(one,complement(X_42))))) )],[refute_0_3542,refute_0_3543]) ).
cnf(refute_0_3545,plain,
( complement(converse(join(X_42,complement(one)))) != meet(one,complement(converse(join(X_42,complement(one)))))
| converse(meet(one,complement(X_42))) = meet(one,converse(meet(one,complement(X_42)))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(X_42))),meet(one,complement(converse(join(X_42,complement(one)))))) )],[refute_0_3538,refute_0_3544]) ).
cnf(refute_0_3546,plain,
converse(meet(one,complement(X_42))) = meet(one,converse(meet(one,complement(X_42)))),
inference(resolve,[$cnf( $equal(complement(converse(join(X_42,complement(one)))),meet(one,complement(converse(join(X_42,complement(one)))))) )],[refute_0_3521,refute_0_3545]) ).
cnf(refute_0_3547,plain,
converse(meet(one,complement(complement(X1)))) = meet(one,converse(meet(one,complement(complement(X1))))),
inference(subst,[],[refute_0_3546:[bind(X_42,$fot(complement(X1)))]]) ).
cnf(refute_0_3548,plain,
( complement(complement(X1)) != X1
| converse(meet(one,complement(complement(X1)))) != meet(one,converse(meet(one,complement(complement(X1)))))
| converse(meet(one,complement(complement(X1)))) = meet(one,converse(meet(one,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(complement(X1)))),meet(one,converse(meet(one,complement(complement(X1)))))) ),[1,1,0,1],$fot(X1)]]) ).
cnf(refute_0_3549,plain,
( converse(meet(one,complement(complement(X1)))) != meet(one,converse(meet(one,complement(complement(X1)))))
| converse(meet(one,complement(complement(X1)))) = meet(one,converse(meet(one,X1))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_3548]) ).
cnf(refute_0_3550,plain,
converse(meet(one,complement(complement(X1)))) = meet(one,converse(meet(one,X1))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(complement(X1)))),meet(one,converse(meet(one,complement(complement(X1)))))) )],[refute_0_3547,refute_0_3549]) ).
cnf(refute_0_3551,plain,
meet(one,complement(complement(X1))) = meet(one,complement(complement(X1))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(X1))))]]) ).
cnf(refute_0_3552,plain,
( complement(complement(X1)) != X1
| meet(one,complement(complement(X1))) != meet(one,complement(complement(X1)))
| meet(one,complement(complement(X1))) = meet(one,X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(X1))),meet(one,complement(complement(X1)))) ),[1,1],$fot(X1)]]) ).
cnf(refute_0_3553,plain,
( complement(complement(X1)) != X1
| meet(one,complement(complement(X1))) = meet(one,X1) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(X1))),meet(one,complement(complement(X1)))) )],[refute_0_3551,refute_0_3552]) ).
cnf(refute_0_3554,plain,
meet(one,complement(complement(X1))) = meet(one,X1),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_628,refute_0_3553]) ).
cnf(refute_0_3555,plain,
converse(meet(one,complement(complement(X1)))) = converse(meet(one,complement(complement(X1)))),
introduced(tautology,[refl,[$fot(converse(meet(one,complement(complement(X1)))))]]) ).
cnf(refute_0_3556,plain,
( converse(meet(one,complement(complement(X1)))) != converse(meet(one,complement(complement(X1))))
| meet(one,complement(complement(X1))) != meet(one,X1)
| converse(meet(one,complement(complement(X1)))) = converse(meet(one,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(complement(X1)))),converse(meet(one,complement(complement(X1))))) ),[1,0],$fot(meet(one,X1))]]) ).
cnf(refute_0_3557,plain,
( meet(one,complement(complement(X1))) != meet(one,X1)
| converse(meet(one,complement(complement(X1)))) = converse(meet(one,X1)) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(complement(X1)))),converse(meet(one,complement(complement(X1))))) )],[refute_0_3555,refute_0_3556]) ).
cnf(refute_0_3558,plain,
converse(meet(one,complement(complement(X1)))) = converse(meet(one,X1)),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(X1))),meet(one,X1)) )],[refute_0_3554,refute_0_3557]) ).
cnf(refute_0_3559,plain,
( converse(meet(one,complement(complement(X1)))) != converse(meet(one,X1))
| converse(meet(one,complement(complement(X1)))) != meet(one,converse(meet(one,X1)))
| converse(meet(one,X1)) = meet(one,converse(meet(one,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(complement(X1)))),meet(one,converse(meet(one,X1)))) ),[0],$fot(converse(meet(one,X1)))]]) ).
cnf(refute_0_3560,plain,
( converse(meet(one,complement(complement(X1)))) != meet(one,converse(meet(one,X1)))
| converse(meet(one,X1)) = meet(one,converse(meet(one,X1))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(complement(X1)))),converse(meet(one,X1))) )],[refute_0_3558,refute_0_3559]) ).
cnf(refute_0_3561,plain,
converse(meet(one,X1)) = meet(one,converse(meet(one,X1))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(complement(X1)))),meet(one,converse(meet(one,X1)))) )],[refute_0_3550,refute_0_3560]) ).
cnf(refute_0_3562,plain,
converse(meet(one,X_356)) = meet(one,converse(meet(one,X_356))),
inference(subst,[],[refute_0_3561:[bind(X1,$fot(X_356))]]) ).
cnf(refute_0_3563,plain,
meet(X_356,one) = meet(one,X_356),
inference(subst,[],[refute_0_40:[bind(X_7,$fot(X_356)),bind(X_8,$fot(one))]]) ).
cnf(refute_0_3564,plain,
( meet(X_356,one) != meet(one,X_356)
| meet(one,X_356) = meet(X_356,one) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_356,one))),bind(Y,$fot(meet(one,X_356)))]]) ).
cnf(refute_0_3565,plain,
meet(one,X_356) = meet(X_356,one),
inference(resolve,[$cnf( $equal(meet(X_356,one),meet(one,X_356)) )],[refute_0_3563,refute_0_3564]) ).
cnf(refute_0_3566,plain,
( converse(meet(one,X_356)) != meet(one,converse(meet(one,X_356)))
| meet(one,X_356) != meet(X_356,one)
| converse(meet(X_356,one)) = meet(one,converse(meet(one,X_356))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,X_356)),meet(one,converse(meet(one,X_356)))) ),[0,0],$fot(meet(X_356,one))]]) ).
cnf(refute_0_3567,plain,
( converse(meet(one,X_356)) != meet(one,converse(meet(one,X_356)))
| converse(meet(X_356,one)) = meet(one,converse(meet(one,X_356))) ),
inference(resolve,[$cnf( $equal(meet(one,X_356),meet(X_356,one)) )],[refute_0_3565,refute_0_3566]) ).
cnf(refute_0_3568,plain,
converse(meet(X_356,one)) = meet(one,converse(meet(one,X_356))),
inference(resolve,[$cnf( $equal(converse(meet(one,X_356)),meet(one,converse(meet(one,X_356)))) )],[refute_0_3562,refute_0_3567]) ).
cnf(refute_0_3569,plain,
( converse(meet(one,X1)) != meet(one,converse(meet(one,X1)))
| meet(one,converse(meet(one,X1))) = converse(meet(one,X1)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(meet(one,X1)))),bind(Y,$fot(meet(one,converse(meet(one,X1)))))]]) ).
cnf(refute_0_3570,plain,
meet(one,converse(meet(one,X1))) = converse(meet(one,X1)),
inference(resolve,[$cnf( $equal(converse(meet(one,X1)),meet(one,converse(meet(one,X1)))) )],[refute_0_3561,refute_0_3569]) ).
cnf(refute_0_3571,plain,
meet(one,converse(meet(one,X_356))) = converse(meet(one,X_356)),
inference(subst,[],[refute_0_3570:[bind(X1,$fot(X_356))]]) ).
cnf(refute_0_3572,plain,
( converse(meet(X_356,one)) != meet(one,converse(meet(one,X_356)))
| meet(one,converse(meet(one,X_356))) != converse(meet(one,X_356))
| converse(meet(X_356,one)) = converse(meet(one,X_356)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(X_356,one)),converse(meet(one,X_356))) ),[0],$fot(meet(one,converse(meet(one,X_356))))]]) ).
cnf(refute_0_3573,plain,
( converse(meet(X_356,one)) != meet(one,converse(meet(one,X_356)))
| converse(meet(X_356,one)) = converse(meet(one,X_356)) ),
inference(resolve,[$cnf( $equal(meet(one,converse(meet(one,X_356))),converse(meet(one,X_356))) )],[refute_0_3571,refute_0_3572]) ).
cnf(refute_0_3574,plain,
converse(meet(X_356,one)) = converse(meet(one,X_356)),
inference(resolve,[$cnf( $equal(converse(meet(X_356,one)),meet(one,converse(meet(one,X_356)))) )],[refute_0_3568,refute_0_3573]) ).
cnf(refute_0_3575,plain,
converse(meet(X_397,one)) = converse(meet(one,X_397)),
inference(subst,[],[refute_0_3574:[bind(X_356,$fot(X_397))]]) ).
cnf(refute_0_3576,plain,
( converse(join(meet(X_397,one),one)) != join(one,converse(meet(X_397,one)))
| converse(meet(X_397,one)) != converse(meet(one,X_397))
| converse(join(meet(X_397,one),one)) = join(one,converse(meet(one,X_397))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(X_397,one),one)),join(one,converse(meet(X_397,one)))) ),[1,1],$fot(converse(meet(one,X_397)))]]) ).
cnf(refute_0_3577,plain,
( converse(join(meet(X_397,one),one)) != join(one,converse(meet(X_397,one)))
| converse(join(meet(X_397,one),one)) = join(one,converse(meet(one,X_397))) ),
inference(resolve,[$cnf( $equal(converse(meet(X_397,one)),converse(meet(one,X_397))) )],[refute_0_3575,refute_0_3576]) ).
cnf(refute_0_3578,plain,
converse(join(meet(X_397,one),one)) = join(one,converse(meet(one,X_397))),
inference(resolve,[$cnf( $equal(converse(join(meet(X_397,one),one)),join(one,converse(meet(X_397,one)))) )],[refute_0_3386,refute_0_3577]) ).
cnf(refute_0_3579,plain,
join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369))) = join(X_369,meet(complement(complement(X_370)),X_369)),
inference(subst,[],[refute_0_334:[bind(X2,$fot(meet(complement(complement(X_370)),X_369))),bind(X_238,$fot(X_369)),bind(X_239,$fot(X_370))]]) ).
cnf(refute_0_3580,plain,
X_369 = join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369)),
inference(subst,[],[refute_0_373:[bind(X_96,$fot(X_369)),bind(X_97,$fot(complement(X_370)))]]) ).
cnf(refute_0_3581,plain,
( X_369 != join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369))
| join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369)) = X_369 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_369)),bind(Y,$fot(join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369))))]]) ).
cnf(refute_0_3582,plain,
join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369)) = X_369,
inference(resolve,[$cnf( $equal(X_369,join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369))) )],[refute_0_3580,refute_0_3581]) ).
cnf(refute_0_3583,plain,
( join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369)) != X_369
| join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369))) != join(X_369,meet(complement(complement(X_370)),X_369))
| join(meet(X_370,X_369),X_369) = join(X_369,meet(complement(complement(X_370)),X_369)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369))),join(X_369,meet(complement(complement(X_370)),X_369))) ),[0,1],$fot(X_369)]]) ).
cnf(refute_0_3584,plain,
( join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369))) != join(X_369,meet(complement(complement(X_370)),X_369))
| join(meet(X_370,X_369),X_369) = join(X_369,meet(complement(complement(X_370)),X_369)) ),
inference(resolve,[$cnf( $equal(join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369)),X_369) )],[refute_0_3582,refute_0_3583]) ).
cnf(refute_0_3585,plain,
join(meet(X_370,X_369),X_369) = join(X_369,meet(complement(complement(X_370)),X_369)),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),meet(complement(complement(X_370)),X_369))),join(X_369,meet(complement(complement(X_370)),X_369))) )],[refute_0_3579,refute_0_3584]) ).
cnf(refute_0_3586,plain,
join(meet(X_370,X_369),X_369) = join(X_369,meet(X_370,X_369)),
inference(subst,[],[refute_0_719:[bind(X_250,$fot(X_369)),bind(X_251,$fot(meet(X_370,X_369)))]]) ).
cnf(refute_0_3587,plain,
( join(meet(X_370,X_369),X_369) != join(X_369,meet(X_370,X_369))
| join(meet(X_370,X_369),X_369) != join(X_369,meet(complement(complement(X_370)),X_369))
| join(X_369,meet(X_370,X_369)) = join(X_369,meet(complement(complement(X_370)),X_369)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_370,X_369),X_369),join(X_369,meet(complement(complement(X_370)),X_369))) ),[0],$fot(join(X_369,meet(X_370,X_369)))]]) ).
cnf(refute_0_3588,plain,
( join(meet(X_370,X_369),X_369) != join(X_369,meet(complement(complement(X_370)),X_369))
| join(X_369,meet(X_370,X_369)) = join(X_369,meet(complement(complement(X_370)),X_369)) ),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),X_369),join(X_369,meet(X_370,X_369))) )],[refute_0_3586,refute_0_3587]) ).
cnf(refute_0_3589,plain,
join(X_369,meet(complement(complement(X_370)),X_369)) = X_369,
inference(subst,[],[refute_0_1043:[bind(X_332,$fot(X_369)),bind(X_42,$fot(complement(X_370)))]]) ).
cnf(refute_0_3590,plain,
( join(X_369,meet(X_370,X_369)) != join(X_369,meet(complement(complement(X_370)),X_369))
| join(X_369,meet(complement(complement(X_370)),X_369)) != X_369
| join(X_369,meet(X_370,X_369)) = X_369 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_369,meet(X_370,X_369)),X_369) ),[0],$fot(join(X_369,meet(complement(complement(X_370)),X_369)))]]) ).
cnf(refute_0_3591,plain,
( join(X_369,meet(X_370,X_369)) != join(X_369,meet(complement(complement(X_370)),X_369))
| join(X_369,meet(X_370,X_369)) = X_369 ),
inference(resolve,[$cnf( $equal(join(X_369,meet(complement(complement(X_370)),X_369)),X_369) )],[refute_0_3589,refute_0_3590]) ).
cnf(refute_0_3592,plain,
( join(meet(X_370,X_369),X_369) != join(X_369,meet(complement(complement(X_370)),X_369))
| join(X_369,meet(X_370,X_369)) = X_369 ),
inference(resolve,[$cnf( $equal(join(X_369,meet(X_370,X_369)),join(X_369,meet(complement(complement(X_370)),X_369))) )],[refute_0_3588,refute_0_3591]) ).
cnf(refute_0_3593,plain,
join(X_369,meet(X_370,X_369)) = X_369,
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),X_369),join(X_369,meet(complement(complement(X_370)),X_369))) )],[refute_0_3585,refute_0_3592]) ).
cnf(refute_0_3594,plain,
join(one,meet(X_397,one)) = one,
inference(subst,[],[refute_0_3593:[bind(X_369,$fot(one)),bind(X_370,$fot(X_397))]]) ).
cnf(refute_0_3595,plain,
converse(join(one,meet(X_397,one))) = converse(join(one,meet(X_397,one))),
introduced(tautology,[refl,[$fot(converse(join(one,meet(X_397,one))))]]) ).
cnf(refute_0_3596,plain,
( converse(join(one,meet(X_397,one))) != converse(join(one,meet(X_397,one)))
| join(one,meet(X_397,one)) != one
| converse(join(one,meet(X_397,one))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(X_397,one))),converse(join(one,meet(X_397,one)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3597,plain,
( join(one,meet(X_397,one)) != one
| converse(join(one,meet(X_397,one))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(X_397,one))),converse(join(one,meet(X_397,one)))) )],[refute_0_3595,refute_0_3596]) ).
cnf(refute_0_3598,plain,
converse(join(one,meet(X_397,one))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,meet(X_397,one)),one) )],[refute_0_3594,refute_0_3597]) ).
cnf(refute_0_3599,plain,
( converse(join(one,meet(X_397,one))) != converse(one)
| converse(one) != one
| converse(join(one,meet(X_397,one))) = one ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(one,meet(X_397,one))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_3600,plain,
( converse(one) != one
| converse(join(one,meet(X_397,one))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(X_397,one))),converse(one)) )],[refute_0_3598,refute_0_3599]) ).
cnf(refute_0_3601,plain,
converse(join(one,meet(X_397,one))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_117,refute_0_3600]) ).
cnf(refute_0_3602,plain,
meet(join(converse(join(one,X_57)),X_333),join(converse(join(one,X_57)),complement(X_333))) = converse(join(one,X_57)),
inference(subst,[],[refute_0_790:[bind(X_325,$fot(converse(join(one,X_57)))),bind(X_326,$fot(X_333))]]) ).
cnf(refute_0_3603,plain,
converse(join(join(X_57,converse(X_56)),one)) = join(one,converse(join(X_57,converse(X_56)))),
inference(subst,[],[refute_0_139:[bind(X_25,$fot(join(X_57,converse(X_56))))]]) ).
cnf(refute_0_3604,plain,
converse(join(X_57,converse(X_56))) = join(converse(X_57),X_56),
inference(subst,[],[refute_0_859:[bind(X0,$fot(X_56)),bind(X_25,$fot(X_57))]]) ).
cnf(refute_0_3605,plain,
( converse(join(X_57,converse(X_56))) != join(converse(X_57),X_56)
| converse(join(join(X_57,converse(X_56)),one)) != join(one,converse(join(X_57,converse(X_56))))
| converse(join(join(X_57,converse(X_56)),one)) = join(one,join(converse(X_57),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_57,converse(X_56)),one)),join(one,converse(join(X_57,converse(X_56))))) ),[1,1],$fot(join(converse(X_57),X_56))]]) ).
cnf(refute_0_3606,plain,
( converse(join(join(X_57,converse(X_56)),one)) != join(one,converse(join(X_57,converse(X_56))))
| converse(join(join(X_57,converse(X_56)),one)) = join(one,join(converse(X_57),X_56)) ),
inference(resolve,[$cnf( $equal(converse(join(X_57,converse(X_56))),join(converse(X_57),X_56)) )],[refute_0_3604,refute_0_3605]) ).
cnf(refute_0_3607,plain,
converse(join(join(X_57,converse(X_56)),one)) = join(one,join(converse(X_57),X_56)),
inference(resolve,[$cnf( $equal(converse(join(join(X_57,converse(X_56)),one)),join(one,converse(join(X_57,converse(X_56))))) )],[refute_0_3603,refute_0_3606]) ).
cnf(refute_0_3608,plain,
converse(join(join(X_57,converse(X_56)),one)) = converse(join(one,join(X_57,converse(X_56)))),
inference(subst,[],[refute_0_3189:[bind(X_29,$fot(join(X_57,converse(X_56))))]]) ).
cnf(refute_0_3609,plain,
( converse(join(join(X_57,converse(X_56)),one)) != converse(join(one,join(X_57,converse(X_56))))
| converse(join(join(X_57,converse(X_56)),one)) != join(one,join(converse(X_57),X_56))
| converse(join(one,join(X_57,converse(X_56)))) = join(one,join(converse(X_57),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_57,converse(X_56)),one)),join(one,join(converse(X_57),X_56))) ),[0],$fot(converse(join(one,join(X_57,converse(X_56)))))]]) ).
cnf(refute_0_3610,plain,
( converse(join(join(X_57,converse(X_56)),one)) != join(one,join(converse(X_57),X_56))
| converse(join(one,join(X_57,converse(X_56)))) = join(one,join(converse(X_57),X_56)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_57,converse(X_56)),one)),converse(join(one,join(X_57,converse(X_56))))) )],[refute_0_3608,refute_0_3609]) ).
cnf(refute_0_3611,plain,
converse(join(one,join(X_57,converse(X_56)))) = join(one,join(converse(X_57),X_56)),
inference(resolve,[$cnf( $equal(converse(join(join(X_57,converse(X_56)),one)),join(one,join(converse(X_57),X_56))) )],[refute_0_3607,refute_0_3610]) ).
cnf(refute_0_3612,plain,
converse(join(X0,join(X_57,converse(X_56)))) = join(converse(X0),converse(join(X_57,converse(X_56)))),
inference(subst,[],[refute_0_131:[bind(X1,$fot(join(X_57,converse(X_56))))]]) ).
cnf(refute_0_3613,plain,
( converse(join(X0,join(X_57,converse(X_56)))) != join(converse(X0),converse(join(X_57,converse(X_56))))
| converse(join(X_57,converse(X_56))) != join(converse(X_57),X_56)
| converse(join(X0,join(X_57,converse(X_56)))) = join(converse(X0),join(converse(X_57),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_57,converse(X_56)))),join(converse(X0),converse(join(X_57,converse(X_56))))) ),[1,1],$fot(join(converse(X_57),X_56))]]) ).
cnf(refute_0_3614,plain,
( converse(join(X0,join(X_57,converse(X_56)))) != join(converse(X0),converse(join(X_57,converse(X_56))))
| converse(join(X0,join(X_57,converse(X_56)))) = join(converse(X0),join(converse(X_57),X_56)) ),
inference(resolve,[$cnf( $equal(converse(join(X_57,converse(X_56))),join(converse(X_57),X_56)) )],[refute_0_3604,refute_0_3613]) ).
cnf(refute_0_3615,plain,
converse(join(X0,join(X_57,converse(X_56)))) = join(converse(X0),join(converse(X_57),X_56)),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_57,converse(X_56)))),join(converse(X0),converse(join(X_57,converse(X_56))))) )],[refute_0_3612,refute_0_3614]) ).
cnf(refute_0_3616,plain,
join(converse(X0),join(converse(X1),X_36)) = join(join(converse(X0),converse(X1)),X_36),
inference(subst,[],[refute_0_0:[bind(X0,$fot(converse(X0))),bind(X1,$fot(converse(X1))),bind(X2,$fot(X_36))]]) ).
cnf(refute_0_3617,plain,
( join(converse(X0),converse(X1)) != converse(join(X0,X1))
| join(converse(X0),join(converse(X1),X_36)) != join(join(converse(X0),converse(X1)),X_36)
| join(converse(X0),join(converse(X1),X_36)) = join(converse(join(X0,X1)),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X0),join(converse(X1),X_36)),join(join(converse(X0),converse(X1)),X_36)) ),[1,0],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_3618,plain,
( join(converse(X0),join(converse(X1),X_36)) != join(join(converse(X0),converse(X1)),X_36)
| join(converse(X0),join(converse(X1),X_36)) = join(converse(join(X0,X1)),X_36) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),converse(join(X0,X1))) )],[refute_0_802,refute_0_3617]) ).
cnf(refute_0_3619,plain,
join(converse(X0),join(converse(X1),X_36)) = join(converse(join(X0,X1)),X_36),
inference(resolve,[$cnf( $equal(join(converse(X0),join(converse(X1),X_36)),join(join(converse(X0),converse(X1)),X_36)) )],[refute_0_3616,refute_0_3618]) ).
cnf(refute_0_3620,plain,
join(converse(X0),join(converse(X_57),X_56)) = join(converse(join(X0,X_57)),X_56),
inference(subst,[],[refute_0_3619:[bind(X1,$fot(X_57)),bind(X_36,$fot(X_56))]]) ).
cnf(refute_0_3621,plain,
( converse(join(X0,join(X_57,converse(X_56)))) != join(converse(X0),join(converse(X_57),X_56))
| join(converse(X0),join(converse(X_57),X_56)) != join(converse(join(X0,X_57)),X_56)
| converse(join(X0,join(X_57,converse(X_56)))) = join(converse(join(X0,X_57)),X_56) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,join(X_57,converse(X_56)))),join(converse(join(X0,X_57)),X_56)) ),[0],$fot(join(converse(X0),join(converse(X_57),X_56)))]]) ).
cnf(refute_0_3622,plain,
( converse(join(X0,join(X_57,converse(X_56)))) != join(converse(X0),join(converse(X_57),X_56))
| converse(join(X0,join(X_57,converse(X_56)))) = join(converse(join(X0,X_57)),X_56) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(converse(X_57),X_56)),join(converse(join(X0,X_57)),X_56)) )],[refute_0_3620,refute_0_3621]) ).
cnf(refute_0_3623,plain,
converse(join(X0,join(X_57,converse(X_56)))) = join(converse(join(X0,X_57)),X_56),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_57,converse(X_56)))),join(converse(X0),join(converse(X_57),X_56))) )],[refute_0_3615,refute_0_3622]) ).
cnf(refute_0_3624,plain,
converse(join(one,join(X_57,converse(X_56)))) = join(converse(join(one,X_57)),X_56),
inference(subst,[],[refute_0_3623:[bind(X0,$fot(one))]]) ).
cnf(refute_0_3625,plain,
( converse(join(one,join(X_57,converse(X_56)))) != join(converse(join(one,X_57)),X_56)
| converse(join(one,join(X_57,converse(X_56)))) != join(one,join(converse(X_57),X_56))
| join(converse(join(one,X_57)),X_56) = join(one,join(converse(X_57),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_57,converse(X_56)))),join(one,join(converse(X_57),X_56))) ),[0],$fot(join(converse(join(one,X_57)),X_56))]]) ).
cnf(refute_0_3626,plain,
( converse(join(one,join(X_57,converse(X_56)))) != join(one,join(converse(X_57),X_56))
| join(converse(join(one,X_57)),X_56) = join(one,join(converse(X_57),X_56)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_57,converse(X_56)))),join(converse(join(one,X_57)),X_56)) )],[refute_0_3624,refute_0_3625]) ).
cnf(refute_0_3627,plain,
join(converse(join(one,X_57)),X_56) = join(one,join(converse(X_57),X_56)),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_57,converse(X_56)))),join(one,join(converse(X_57),X_56))) )],[refute_0_3611,refute_0_3626]) ).
cnf(refute_0_3628,plain,
join(converse(join(one,X_57)),complement(X_333)) = join(one,join(converse(X_57),complement(X_333))),
inference(subst,[],[refute_0_3627:[bind(X_56,$fot(complement(X_333)))]]) ).
cnf(refute_0_3629,plain,
( join(converse(join(one,X_57)),complement(X_333)) != join(one,join(converse(X_57),complement(X_333)))
| meet(join(converse(join(one,X_57)),X_333),join(converse(join(one,X_57)),complement(X_333))) != converse(join(one,X_57))
| meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))) = converse(join(one,X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(converse(join(one,X_57)),X_333),join(converse(join(one,X_57)),complement(X_333))),converse(join(one,X_57))) ),[0,1],$fot(join(one,join(converse(X_57),complement(X_333))))]]) ).
cnf(refute_0_3630,plain,
( meet(join(converse(join(one,X_57)),X_333),join(converse(join(one,X_57)),complement(X_333))) != converse(join(one,X_57))
| meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))) = converse(join(one,X_57)) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,X_57)),complement(X_333)),join(one,join(converse(X_57),complement(X_333)))) )],[refute_0_3628,refute_0_3629]) ).
cnf(refute_0_3631,plain,
meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))) = converse(join(one,X_57)),
inference(resolve,[$cnf( $equal(meet(join(converse(join(one,X_57)),X_333),join(converse(join(one,X_57)),complement(X_333))),converse(join(one,X_57))) )],[refute_0_3602,refute_0_3630]) ).
cnf(refute_0_3632,plain,
join(converse(join(one,X_57)),X_333) = join(one,join(converse(X_57),X_333)),
inference(subst,[],[refute_0_3627:[bind(X_56,$fot(X_333))]]) ).
cnf(refute_0_3633,plain,
meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))) = meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))),
introduced(tautology,[refl,[$fot(meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))))]]) ).
cnf(refute_0_3634,plain,
( join(converse(join(one,X_57)),X_333) != join(one,join(converse(X_57),X_333))
| meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))) != meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333))))
| meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))) = meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))),meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333))))) ),[1,0],$fot(join(one,join(converse(X_57),X_333)))]]) ).
cnf(refute_0_3635,plain,
( join(converse(join(one,X_57)),X_333) != join(one,join(converse(X_57),X_333))
| meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))) = meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))),meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333))))) )],[refute_0_3633,refute_0_3634]) ).
cnf(refute_0_3636,plain,
meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))) = meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))),
inference(resolve,[$cnf( $equal(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),X_333))) )],[refute_0_3632,refute_0_3635]) ).
cnf(refute_0_3637,plain,
( meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))) != converse(join(one,X_57))
| meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))) != meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333))))
| meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) = converse(join(one,X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))),converse(join(one,X_57))) ),[0],$fot(meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))))]]) ).
cnf(refute_0_3638,plain,
( meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))) != converse(join(one,X_57))
| meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) = converse(join(one,X_57)) ),
inference(resolve,[$cnf( $equal(meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))),meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333))))) )],[refute_0_3636,refute_0_3637]) ).
cnf(refute_0_3639,plain,
meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) = converse(join(one,X_57)),
inference(resolve,[$cnf( $equal(meet(join(converse(join(one,X_57)),X_333),join(one,join(converse(X_57),complement(X_333)))),converse(join(one,X_57))) )],[refute_0_3631,refute_0_3638]) ).
cnf(refute_0_3640,plain,
join(one,converse(X_57)) = converse(join(X_57,one)),
inference(subst,[],[refute_0_145:[bind(X_25,$fot(X_57))]]) ).
cnf(refute_0_3641,plain,
meet(join(join(X0,X1),X_333),join(join(X0,X1),complement(X_333))) = join(X0,X1),
inference(subst,[],[refute_0_790:[bind(X_325,$fot(join(X0,X1))),bind(X_326,$fot(X_333))]]) ).
cnf(refute_0_3642,plain,
join(X0,join(X1,complement(X_333))) = join(join(X0,X1),complement(X_333)),
inference(subst,[],[refute_0_0:[bind(X2,$fot(complement(X_333)))]]) ).
cnf(refute_0_3643,plain,
( join(X0,join(X1,complement(X_333))) != join(join(X0,X1),complement(X_333))
| join(join(X0,X1),complement(X_333)) = join(X0,join(X1,complement(X_333))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X1,complement(X_333))))),bind(Y,$fot(join(join(X0,X1),complement(X_333))))]]) ).
cnf(refute_0_3644,plain,
join(join(X0,X1),complement(X_333)) = join(X0,join(X1,complement(X_333))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,complement(X_333))),join(join(X0,X1),complement(X_333))) )],[refute_0_3642,refute_0_3643]) ).
cnf(refute_0_3645,plain,
( join(join(X0,X1),complement(X_333)) != join(X0,join(X1,complement(X_333)))
| meet(join(join(X0,X1),X_333),join(join(X0,X1),complement(X_333))) != join(X0,X1)
| meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))) = join(X0,X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X0,X1),X_333),join(join(X0,X1),complement(X_333))),join(X0,X1)) ),[0,1],$fot(join(X0,join(X1,complement(X_333))))]]) ).
cnf(refute_0_3646,plain,
( meet(join(join(X0,X1),X_333),join(join(X0,X1),complement(X_333))) != join(X0,X1)
| meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))) = join(X0,X1) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),complement(X_333)),join(X0,join(X1,complement(X_333)))) )],[refute_0_3644,refute_0_3645]) ).
cnf(refute_0_3647,plain,
meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))) = join(X0,X1),
inference(resolve,[$cnf( $equal(meet(join(join(X0,X1),X_333),join(join(X0,X1),complement(X_333))),join(X0,X1)) )],[refute_0_3641,refute_0_3646]) ).
cnf(refute_0_3648,plain,
join(join(X0,X1),X_333) = join(X0,join(X1,X_333)),
inference(subst,[],[refute_0_395:[bind(X2,$fot(X_333))]]) ).
cnf(refute_0_3649,plain,
meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))) = meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))),
introduced(tautology,[refl,[$fot(meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))))]]) ).
cnf(refute_0_3650,plain,
( join(join(X0,X1),X_333) != join(X0,join(X1,X_333))
| meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))) != meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333))))
| meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))) = meet(join(X0,join(X1,X_333)),join(X0,join(X1,complement(X_333)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))),meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333))))) ),[1,0],$fot(join(X0,join(X1,X_333)))]]) ).
cnf(refute_0_3651,plain,
( join(join(X0,X1),X_333) != join(X0,join(X1,X_333))
| meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))) = meet(join(X0,join(X1,X_333)),join(X0,join(X1,complement(X_333)))) ),
inference(resolve,[$cnf( $equal(meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))),meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333))))) )],[refute_0_3649,refute_0_3650]) ).
cnf(refute_0_3652,plain,
meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))) = meet(join(X0,join(X1,X_333)),join(X0,join(X1,complement(X_333)))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_333),join(X0,join(X1,X_333))) )],[refute_0_3648,refute_0_3651]) ).
cnf(refute_0_3653,plain,
( meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))) != join(X0,X1)
| meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))) != meet(join(X0,join(X1,X_333)),join(X0,join(X1,complement(X_333))))
| meet(join(X0,join(X1,X_333)),join(X0,join(X1,complement(X_333)))) = join(X0,X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))),join(X0,X1)) ),[0],$fot(meet(join(X0,join(X1,X_333)),join(X0,join(X1,complement(X_333)))))]]) ).
cnf(refute_0_3654,plain,
( meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))) != join(X0,X1)
| meet(join(X0,join(X1,X_333)),join(X0,join(X1,complement(X_333)))) = join(X0,X1) ),
inference(resolve,[$cnf( $equal(meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))),meet(join(X0,join(X1,X_333)),join(X0,join(X1,complement(X_333))))) )],[refute_0_3652,refute_0_3653]) ).
cnf(refute_0_3655,plain,
meet(join(X0,join(X1,X_333)),join(X0,join(X1,complement(X_333)))) = join(X0,X1),
inference(resolve,[$cnf( $equal(meet(join(join(X0,X1),X_333),join(X0,join(X1,complement(X_333)))),join(X0,X1)) )],[refute_0_3647,refute_0_3654]) ).
cnf(refute_0_3656,plain,
meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) = join(one,converse(X_57)),
inference(subst,[],[refute_0_3655:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_57)))]]) ).
cnf(refute_0_3657,plain,
( join(one,converse(X_57)) != converse(join(X_57,one))
| meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) != join(one,converse(X_57))
| meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) = converse(join(X_57,one)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))))),bind(Y,$fot(join(one,converse(X_57)))),bind(Z,$fot(converse(join(X_57,one))))]]) ).
cnf(refute_0_3658,plain,
( join(one,converse(X_57)) != converse(join(X_57,one))
| meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) = converse(join(X_57,one)) ),
inference(resolve,[$cnf( $equal(meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))),join(one,converse(X_57))) )],[refute_0_3656,refute_0_3657]) ).
cnf(refute_0_3659,plain,
meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) = converse(join(X_57,one)),
inference(resolve,[$cnf( $equal(join(one,converse(X_57)),converse(join(X_57,one))) )],[refute_0_3640,refute_0_3658]) ).
cnf(refute_0_3660,plain,
( meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) != converse(join(X_57,one))
| meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) != converse(join(one,X_57))
| converse(join(X_57,one)) = converse(join(one,X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))),converse(join(one,X_57))) ),[0],$fot(converse(join(X_57,one)))]]) ).
cnf(refute_0_3661,plain,
( meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))) != converse(join(one,X_57))
| converse(join(X_57,one)) = converse(join(one,X_57)) ),
inference(resolve,[$cnf( $equal(meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))),converse(join(X_57,one))) )],[refute_0_3659,refute_0_3660]) ).
cnf(refute_0_3662,plain,
converse(join(X_57,one)) = converse(join(one,X_57)),
inference(resolve,[$cnf( $equal(meet(join(one,join(converse(X_57),X_333)),join(one,join(converse(X_57),complement(X_333)))),converse(join(one,X_57))) )],[refute_0_3639,refute_0_3661]) ).
cnf(refute_0_3663,plain,
converse(join(meet(X_397,one),one)) = converse(join(one,meet(X_397,one))),
inference(subst,[],[refute_0_3662:[bind(X_57,$fot(meet(X_397,one)))]]) ).
cnf(refute_0_3664,plain,
( converse(join(meet(X_397,one),one)) != converse(join(one,meet(X_397,one)))
| converse(join(one,meet(X_397,one))) != one
| converse(join(meet(X_397,one),one)) = one ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(meet(X_397,one),one)))),bind(Y,$fot(converse(join(one,meet(X_397,one))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_3665,plain,
( converse(join(one,meet(X_397,one))) != one
| converse(join(meet(X_397,one),one)) = one ),
inference(resolve,[$cnf( $equal(converse(join(meet(X_397,one),one)),converse(join(one,meet(X_397,one)))) )],[refute_0_3663,refute_0_3664]) ).
cnf(refute_0_3666,plain,
converse(join(meet(X_397,one),one)) = one,
inference(resolve,[$cnf( $equal(converse(join(one,meet(X_397,one))),one) )],[refute_0_3601,refute_0_3665]) ).
cnf(refute_0_3667,plain,
( converse(join(meet(X_397,one),one)) != join(one,converse(meet(one,X_397)))
| converse(join(meet(X_397,one),one)) != one
| one = join(one,converse(meet(one,X_397))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(X_397,one),one)),join(one,converse(meet(one,X_397)))) ),[0],$fot(one)]]) ).
cnf(refute_0_3668,plain,
( converse(join(meet(X_397,one),one)) != join(one,converse(meet(one,X_397)))
| one = join(one,converse(meet(one,X_397))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(X_397,one),one)),one) )],[refute_0_3666,refute_0_3667]) ).
cnf(refute_0_3669,plain,
converse(join(meet(one,X_397),one)) = converse(join(one,meet(one,X_397))),
inference(subst,[],[refute_0_3662:[bind(X_57,$fot(meet(one,X_397)))]]) ).
cnf(refute_0_3670,plain,
join(one,converse(meet(one,X_397))) = converse(join(meet(one,X_397),one)),
inference(subst,[],[refute_0_145:[bind(X_25,$fot(meet(one,X_397)))]]) ).
cnf(refute_0_3671,plain,
( converse(join(meet(one,X_397),one)) != converse(join(one,meet(one,X_397)))
| join(one,converse(meet(one,X_397))) != converse(join(meet(one,X_397),one))
| join(one,converse(meet(one,X_397))) = converse(join(one,meet(one,X_397))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,converse(meet(one,X_397))))),bind(Y,$fot(converse(join(meet(one,X_397),one)))),bind(Z,$fot(converse(join(one,meet(one,X_397)))))]]) ).
cnf(refute_0_3672,plain,
( converse(join(meet(one,X_397),one)) != converse(join(one,meet(one,X_397)))
| join(one,converse(meet(one,X_397))) = converse(join(one,meet(one,X_397))) ),
inference(resolve,[$cnf( $equal(join(one,converse(meet(one,X_397))),converse(join(meet(one,X_397),one))) )],[refute_0_3670,refute_0_3671]) ).
cnf(refute_0_3673,plain,
join(one,converse(meet(one,X_397))) = converse(join(one,meet(one,X_397))),
inference(resolve,[$cnf( $equal(converse(join(meet(one,X_397),one)),converse(join(one,meet(one,X_397)))) )],[refute_0_3669,refute_0_3672]) ).
cnf(refute_0_3674,plain,
( join(one,converse(meet(one,X_397))) != converse(join(one,meet(one,X_397)))
| one != join(one,converse(meet(one,X_397)))
| one = converse(join(one,meet(one,X_397))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,converse(meet(one,X_397)))) ),[1],$fot(converse(join(one,meet(one,X_397))))]]) ).
cnf(refute_0_3675,plain,
( one != join(one,converse(meet(one,X_397)))
| one = converse(join(one,meet(one,X_397))) ),
inference(resolve,[$cnf( $equal(join(one,converse(meet(one,X_397))),converse(join(one,meet(one,X_397)))) )],[refute_0_3673,refute_0_3674]) ).
cnf(refute_0_3676,plain,
( converse(join(meet(X_397,one),one)) != join(one,converse(meet(one,X_397)))
| one = converse(join(one,meet(one,X_397))) ),
inference(resolve,[$cnf( $equal(one,join(one,converse(meet(one,X_397)))) )],[refute_0_3668,refute_0_3675]) ).
cnf(refute_0_3677,plain,
one = converse(join(one,meet(one,X_397))),
inference(resolve,[$cnf( $equal(converse(join(meet(X_397,one),one)),join(one,converse(meet(one,X_397)))) )],[refute_0_3578,refute_0_3676]) ).
cnf(refute_0_3678,plain,
one = converse(join(one,meet(one,X_398))),
inference(subst,[],[refute_0_3677:[bind(X_397,$fot(X_398))]]) ).
cnf(refute_0_3679,plain,
( one != converse(join(one,meet(one,X_398)))
| converse(join(one,meet(one,X_398))) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(converse(join(one,meet(one,X_398)))))]]) ).
cnf(refute_0_3680,plain,
converse(join(one,meet(one,X_398))) = one,
inference(resolve,[$cnf( $equal(one,converse(join(one,meet(one,X_398)))) )],[refute_0_3678,refute_0_3679]) ).
cnf(refute_0_3681,plain,
( converse(join(one,composition(converse(join(one,meet(one,X_398))),X_12))) != join(one,composition(converse(X_12),join(one,meet(one,X_398))))
| converse(join(one,meet(one,X_398))) != one
| converse(join(one,composition(one,X_12))) = join(one,composition(converse(X_12),join(one,meet(one,X_398)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,composition(converse(join(one,meet(one,X_398))),X_12))),join(one,composition(converse(X_12),join(one,meet(one,X_398))))) ),[0,0,1,0],$fot(one)]]) ).
cnf(refute_0_3682,plain,
( converse(join(one,composition(converse(join(one,meet(one,X_398))),X_12))) != join(one,composition(converse(X_12),join(one,meet(one,X_398))))
| converse(join(one,composition(one,X_12))) = join(one,composition(converse(X_12),join(one,meet(one,X_398)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,X_398))),one) )],[refute_0_3680,refute_0_3681]) ).
cnf(refute_0_3683,plain,
converse(join(one,composition(one,X_12))) = join(one,composition(converse(X_12),join(one,meet(one,X_398)))),
inference(resolve,[$cnf( $equal(converse(join(one,composition(converse(join(one,meet(one,X_398))),X_12))),join(one,composition(converse(X_12),join(one,meet(one,X_398))))) )],[refute_0_3385,refute_0_3682]) ).
cnf(refute_0_3684,plain,
composition(one,join(one,X_12)) = join(one,X_12),
inference(subst,[],[refute_0_238:[bind(X_13,$fot(join(one,X_12)))]]) ).
cnf(refute_0_3685,plain,
converse(composition(one,join(one,X_12))) = converse(composition(one,join(one,X_12))),
introduced(tautology,[refl,[$fot(converse(composition(one,join(one,X_12))))]]) ).
cnf(refute_0_3686,plain,
( composition(one,join(one,X_12)) != join(one,X_12)
| converse(composition(one,join(one,X_12))) != converse(composition(one,join(one,X_12)))
| converse(composition(one,join(one,X_12))) = converse(join(one,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(one,join(one,X_12))),converse(composition(one,join(one,X_12)))) ),[1,0],$fot(join(one,X_12))]]) ).
cnf(refute_0_3687,plain,
( composition(one,join(one,X_12)) != join(one,X_12)
| converse(composition(one,join(one,X_12))) = converse(join(one,X_12)) ),
inference(resolve,[$cnf( $equal(converse(composition(one,join(one,X_12))),converse(composition(one,join(one,X_12)))) )],[refute_0_3685,refute_0_3686]) ).
cnf(refute_0_3688,plain,
converse(composition(one,join(one,X_12))) = converse(join(one,X_12)),
inference(resolve,[$cnf( $equal(composition(one,join(one,X_12)),join(one,X_12)) )],[refute_0_3684,refute_0_3687]) ).
cnf(refute_0_3689,plain,
converse(join(one,composition(one,X_12))) = converse(composition(one,join(one,X_12))),
inference(subst,[],[refute_0_2772:[bind(X0,$fot(one)),bind(X1,$fot(X_12))]]) ).
cnf(refute_0_3690,plain,
( converse(composition(one,join(one,X_12))) != converse(join(one,X_12))
| converse(join(one,composition(one,X_12))) != converse(composition(one,join(one,X_12)))
| converse(join(one,composition(one,X_12))) = converse(join(one,X_12)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(one,composition(one,X_12))))),bind(Y,$fot(converse(composition(one,join(one,X_12))))),bind(Z,$fot(converse(join(one,X_12))))]]) ).
cnf(refute_0_3691,plain,
( converse(composition(one,join(one,X_12))) != converse(join(one,X_12))
| converse(join(one,composition(one,X_12))) = converse(join(one,X_12)) ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(one,X_12))),converse(composition(one,join(one,X_12)))) )],[refute_0_3689,refute_0_3690]) ).
cnf(refute_0_3692,plain,
converse(join(one,composition(one,X_12))) = converse(join(one,X_12)),
inference(resolve,[$cnf( $equal(converse(composition(one,join(one,X_12))),converse(join(one,X_12))) )],[refute_0_3688,refute_0_3691]) ).
cnf(refute_0_3693,plain,
( converse(join(one,composition(one,X_12))) != converse(join(one,X_12))
| converse(join(one,composition(one,X_12))) != join(one,composition(converse(X_12),join(one,meet(one,X_398))))
| converse(join(one,X_12)) = join(one,composition(converse(X_12),join(one,meet(one,X_398)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,composition(one,X_12))),join(one,composition(converse(X_12),join(one,meet(one,X_398))))) ),[0],$fot(converse(join(one,X_12)))]]) ).
cnf(refute_0_3694,plain,
( converse(join(one,composition(one,X_12))) != join(one,composition(converse(X_12),join(one,meet(one,X_398))))
| converse(join(one,X_12)) = join(one,composition(converse(X_12),join(one,meet(one,X_398)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(one,X_12))),converse(join(one,X_12))) )],[refute_0_3692,refute_0_3693]) ).
cnf(refute_0_3695,plain,
converse(join(one,X_12)) = join(one,composition(converse(X_12),join(one,meet(one,X_398)))),
inference(resolve,[$cnf( $equal(converse(join(one,composition(one,X_12))),join(one,composition(converse(X_12),join(one,meet(one,X_398))))) )],[refute_0_3683,refute_0_3694]) ).
cnf(refute_0_3696,plain,
join(one,converse(X_12)) = converse(join(X_12,one)),
inference(subst,[],[refute_0_145:[bind(X_25,$fot(X_12))]]) ).
cnf(refute_0_3697,plain,
converse(composition(converse(join(one,meet(one,X_398))),X_12)) = composition(converse(X_12),join(one,meet(one,X_398))),
inference(subst,[],[refute_0_98:[bind(X0,$fot(join(one,meet(one,X_398))))]]) ).
cnf(refute_0_3698,plain,
( converse(composition(converse(join(one,meet(one,X_398))),X_12)) != composition(converse(X_12),join(one,meet(one,X_398)))
| converse(join(one,meet(one,X_398))) != one
| converse(composition(one,X_12)) = composition(converse(X_12),join(one,meet(one,X_398))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(join(one,meet(one,X_398))),X_12)),composition(converse(X_12),join(one,meet(one,X_398)))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_3699,plain,
( converse(composition(converse(join(one,meet(one,X_398))),X_12)) != composition(converse(X_12),join(one,meet(one,X_398)))
| converse(composition(one,X_12)) = composition(converse(X_12),join(one,meet(one,X_398))) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,X_398))),one) )],[refute_0_3680,refute_0_3698]) ).
cnf(refute_0_3700,plain,
converse(composition(one,X_12)) = composition(converse(X_12),join(one,meet(one,X_398))),
inference(resolve,[$cnf( $equal(converse(composition(converse(join(one,meet(one,X_398))),X_12)),composition(converse(X_12),join(one,meet(one,X_398)))) )],[refute_0_3697,refute_0_3699]) ).
cnf(refute_0_3701,plain,
composition(one,X_12) = X_12,
inference(subst,[],[refute_0_238:[bind(X_13,$fot(X_12))]]) ).
cnf(refute_0_3702,plain,
converse(composition(one,X_12)) = converse(composition(one,X_12)),
introduced(tautology,[refl,[$fot(converse(composition(one,X_12)))]]) ).
cnf(refute_0_3703,plain,
( composition(one,X_12) != X_12
| converse(composition(one,X_12)) != converse(composition(one,X_12))
| converse(composition(one,X_12)) = converse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(one,X_12)),converse(composition(one,X_12))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_3704,plain,
( composition(one,X_12) != X_12
| converse(composition(one,X_12)) = converse(X_12) ),
inference(resolve,[$cnf( $equal(converse(composition(one,X_12)),converse(composition(one,X_12))) )],[refute_0_3702,refute_0_3703]) ).
cnf(refute_0_3705,plain,
converse(composition(one,X_12)) = converse(X_12),
inference(resolve,[$cnf( $equal(composition(one,X_12),X_12) )],[refute_0_3701,refute_0_3704]) ).
cnf(refute_0_3706,plain,
( converse(composition(one,X_12)) != composition(converse(X_12),join(one,meet(one,X_398)))
| converse(composition(one,X_12)) != converse(X_12)
| converse(X_12) = composition(converse(X_12),join(one,meet(one,X_398))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(one,X_12)),composition(converse(X_12),join(one,meet(one,X_398)))) ),[0],$fot(converse(X_12))]]) ).
cnf(refute_0_3707,plain,
( converse(composition(one,X_12)) != composition(converse(X_12),join(one,meet(one,X_398)))
| converse(X_12) = composition(converse(X_12),join(one,meet(one,X_398))) ),
inference(resolve,[$cnf( $equal(converse(composition(one,X_12)),converse(X_12)) )],[refute_0_3705,refute_0_3706]) ).
cnf(refute_0_3708,plain,
converse(X_12) = composition(converse(X_12),join(one,meet(one,X_398))),
inference(resolve,[$cnf( $equal(converse(composition(one,X_12)),composition(converse(X_12),join(one,meet(one,X_398)))) )],[refute_0_3700,refute_0_3707]) ).
cnf(refute_0_3709,plain,
( converse(X_12) != composition(converse(X_12),join(one,meet(one,X_398)))
| composition(converse(X_12),join(one,meet(one,X_398))) = converse(X_12) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(X_12))),bind(Y,$fot(composition(converse(X_12),join(one,meet(one,X_398)))))]]) ).
cnf(refute_0_3710,plain,
composition(converse(X_12),join(one,meet(one,X_398))) = converse(X_12),
inference(resolve,[$cnf( $equal(converse(X_12),composition(converse(X_12),join(one,meet(one,X_398)))) )],[refute_0_3708,refute_0_3709]) ).
cnf(refute_0_3711,plain,
join(one,composition(converse(X_12),join(one,meet(one,X_398)))) = join(one,composition(converse(X_12),join(one,meet(one,X_398)))),
introduced(tautology,[refl,[$fot(join(one,composition(converse(X_12),join(one,meet(one,X_398)))))]]) ).
cnf(refute_0_3712,plain,
( composition(converse(X_12),join(one,meet(one,X_398))) != converse(X_12)
| join(one,composition(converse(X_12),join(one,meet(one,X_398)))) != join(one,composition(converse(X_12),join(one,meet(one,X_398))))
| join(one,composition(converse(X_12),join(one,meet(one,X_398)))) = join(one,converse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(converse(X_12),join(one,meet(one,X_398)))),join(one,composition(converse(X_12),join(one,meet(one,X_398))))) ),[1,1],$fot(converse(X_12))]]) ).
cnf(refute_0_3713,plain,
( composition(converse(X_12),join(one,meet(one,X_398))) != converse(X_12)
| join(one,composition(converse(X_12),join(one,meet(one,X_398)))) = join(one,converse(X_12)) ),
inference(resolve,[$cnf( $equal(join(one,composition(converse(X_12),join(one,meet(one,X_398)))),join(one,composition(converse(X_12),join(one,meet(one,X_398))))) )],[refute_0_3711,refute_0_3712]) ).
cnf(refute_0_3714,plain,
join(one,composition(converse(X_12),join(one,meet(one,X_398)))) = join(one,converse(X_12)),
inference(resolve,[$cnf( $equal(composition(converse(X_12),join(one,meet(one,X_398))),converse(X_12)) )],[refute_0_3710,refute_0_3713]) ).
cnf(refute_0_3715,plain,
( join(one,composition(converse(X_12),join(one,meet(one,X_398)))) != join(one,converse(X_12))
| join(one,converse(X_12)) != converse(join(X_12,one))
| join(one,composition(converse(X_12),join(one,meet(one,X_398)))) = converse(join(X_12,one)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,composition(converse(X_12),join(one,meet(one,X_398)))))),bind(Y,$fot(join(one,converse(X_12)))),bind(Z,$fot(converse(join(X_12,one))))]]) ).
cnf(refute_0_3716,plain,
( join(one,converse(X_12)) != converse(join(X_12,one))
| join(one,composition(converse(X_12),join(one,meet(one,X_398)))) = converse(join(X_12,one)) ),
inference(resolve,[$cnf( $equal(join(one,composition(converse(X_12),join(one,meet(one,X_398)))),join(one,converse(X_12))) )],[refute_0_3714,refute_0_3715]) ).
cnf(refute_0_3717,plain,
join(one,composition(converse(X_12),join(one,meet(one,X_398)))) = converse(join(X_12,one)),
inference(resolve,[$cnf( $equal(join(one,converse(X_12)),converse(join(X_12,one))) )],[refute_0_3696,refute_0_3716]) ).
cnf(refute_0_3718,plain,
( converse(join(one,X_12)) != join(one,composition(converse(X_12),join(one,meet(one,X_398))))
| join(one,composition(converse(X_12),join(one,meet(one,X_398)))) != converse(join(X_12,one))
| converse(join(one,X_12)) = converse(join(X_12,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,X_12)),converse(join(X_12,one))) ),[0],$fot(join(one,composition(converse(X_12),join(one,meet(one,X_398)))))]]) ).
cnf(refute_0_3719,plain,
( converse(join(one,X_12)) != join(one,composition(converse(X_12),join(one,meet(one,X_398))))
| converse(join(one,X_12)) = converse(join(X_12,one)) ),
inference(resolve,[$cnf( $equal(join(one,composition(converse(X_12),join(one,meet(one,X_398)))),converse(join(X_12,one))) )],[refute_0_3717,refute_0_3718]) ).
cnf(refute_0_3720,plain,
converse(join(one,X_12)) = converse(join(X_12,one)),
inference(resolve,[$cnf( $equal(converse(join(one,X_12)),join(one,composition(converse(X_12),join(one,meet(one,X_398))))) )],[refute_0_3695,refute_0_3719]) ).
cnf(refute_0_3721,plain,
( converse(join(one,X_12)) != converse(join(X_12,one))
| converse(join(X_12,one)) = converse(join(one,X_12)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(one,X_12)))),bind(Y,$fot(converse(join(X_12,one))))]]) ).
cnf(refute_0_3722,plain,
converse(join(X_12,one)) = converse(join(one,X_12)),
inference(resolve,[$cnf( $equal(converse(join(one,X_12)),converse(join(X_12,one))) )],[refute_0_3720,refute_0_3721]) ).
cnf(refute_0_3723,plain,
converse(join(top,one)) = converse(join(one,top)),
inference(subst,[],[refute_0_3722:[bind(X_12,$fot(top))]]) ).
cnf(refute_0_3724,plain,
join(one,converse(top)) = converse(join(top,one)),
inference(subst,[],[refute_0_145:[bind(X_25,$fot(top))]]) ).
cnf(refute_0_3725,plain,
( converse(join(top,one)) != converse(join(one,top))
| join(one,converse(top)) != converse(join(top,one))
| join(one,converse(top)) = converse(join(one,top)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(top,one)))),bind(Z,$fot(converse(join(one,top))))]]) ).
cnf(refute_0_3726,plain,
( converse(join(top,one)) != converse(join(one,top))
| join(one,converse(top)) = converse(join(one,top)) ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(top,one))) )],[refute_0_3724,refute_0_3725]) ).
cnf(refute_0_3727,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(resolve,[$cnf( $equal(converse(join(top,one)),converse(join(one,top))) )],[refute_0_3723,refute_0_3726]) ).
cnf(refute_0_3728,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) = top ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3729,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_3727,refute_0_3728]) ).
cnf(refute_0_3730,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_0_3363,refute_0_3729]) ).
cnf(refute_0_3731,plain,
composition(join(one,converse(top)),complement(composition(top,X_438))) = composition(join(one,converse(top)),complement(composition(top,X_438))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_438))))]]) ).
cnf(refute_0_3732,plain,
( composition(join(one,converse(top)),complement(composition(top,X_438))) != composition(join(one,converse(top)),complement(composition(top,X_438)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_438))) = composition(top,complement(composition(top,X_438))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_438))),composition(join(one,converse(top)),complement(composition(top,X_438)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3733,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_438))) = composition(top,complement(composition(top,X_438))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_438))),composition(join(one,converse(top)),complement(composition(top,X_438)))) )],[refute_0_3731,refute_0_3732]) ).
cnf(refute_0_3734,plain,
composition(join(one,converse(top)),complement(composition(top,X_438))) = composition(top,complement(composition(top,X_438))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_3730,refute_0_3733]) ).
cnf(refute_0_3735,plain,
composition(join(converse(top),one),complement(composition(top,X_438))) = composition(join(one,converse(top)),complement(composition(top,X_438))),
inference(subst,[],[refute_0_2307:[bind(X1,$fot(converse(top))),bind(X2,$fot(complement(composition(top,X_438))))]]) ).
cnf(refute_0_3736,plain,
join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) = composition(join(converse(top),one),complement(composition(top,X_438))),
inference(subst,[],[refute_0_174:[bind(X_58,$fot(converse(top))),bind(X_60,$fot(complement(composition(top,X_438))))]]) ).
cnf(refute_0_3737,plain,
( composition(join(converse(top),one),complement(composition(top,X_438))) != composition(join(one,converse(top)),complement(composition(top,X_438)))
| join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) != composition(join(converse(top),one),complement(composition(top,X_438)))
| join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) = composition(join(one,converse(top)),complement(composition(top,X_438))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(top,X_438))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(top,X_438)))))]]) ).
cnf(refute_0_3738,plain,
( composition(join(converse(top),one),complement(composition(top,X_438))) != composition(join(one,converse(top)),complement(composition(top,X_438)))
| join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) = composition(join(one,converse(top)),complement(composition(top,X_438))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))),composition(join(converse(top),one),complement(composition(top,X_438)))) )],[refute_0_3736,refute_0_3737]) ).
cnf(refute_0_3739,plain,
join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) = composition(join(one,converse(top)),complement(composition(top,X_438))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(top,X_438))),composition(join(one,converse(top)),complement(composition(top,X_438)))) )],[refute_0_3735,refute_0_3738]) ).
cnf(refute_0_3740,plain,
( composition(join(one,converse(top)),complement(composition(top,X_438))) != composition(top,complement(composition(top,X_438)))
| join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) != composition(join(one,converse(top)),complement(composition(top,X_438)))
| join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) = composition(top,complement(composition(top,X_438))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_438))))),bind(Z,$fot(composition(top,complement(composition(top,X_438)))))]]) ).
cnf(refute_0_3741,plain,
( composition(join(one,converse(top)),complement(composition(top,X_438))) != composition(top,complement(composition(top,X_438)))
| join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) = composition(top,complement(composition(top,X_438))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))),composition(join(one,converse(top)),complement(composition(top,X_438)))) )],[refute_0_3739,refute_0_3740]) ).
cnf(refute_0_3742,plain,
join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) = composition(top,complement(composition(top,X_438))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_438))),composition(top,complement(composition(top,X_438)))) )],[refute_0_3734,refute_0_3741]) ).
cnf(refute_0_3743,plain,
( join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) != complement(composition(top,X_438))
| join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) != composition(top,complement(composition(top,X_438)))
| composition(top,complement(composition(top,X_438))) = complement(composition(top,X_438)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))),complement(composition(top,X_438))) ),[0],$fot(composition(top,complement(composition(top,X_438))))]]) ).
cnf(refute_0_3744,plain,
( join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))) != complement(composition(top,X_438))
| composition(top,complement(composition(top,X_438))) = complement(composition(top,X_438)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))),composition(top,complement(composition(top,X_438)))) )],[refute_0_3742,refute_0_3743]) ).
cnf(refute_0_3745,plain,
composition(top,complement(composition(top,X_438))) = complement(composition(top,X_438)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_438)),composition(converse(top),complement(composition(top,X_438)))),complement(composition(top,X_438))) )],[refute_0_3356,refute_0_3744]) ).
cnf(refute_0_3746,plain,
composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) = complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_3745:[bind(X_438,$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3747,plain,
composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3748,plain,
( composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))))
| composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) != complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_3749,plain,
( composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) != complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))))) )],[refute_0_3747,refute_0_3748]) ).
cnf(refute_0_3750,plain,
composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) )],[refute_0_3746,refute_0_3749]) ).
cnf(refute_0_3751,plain,
composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) = composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(top)),bind(X2,$fot(complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3752,plain,
( composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) != composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))))
| composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))
| composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3753,plain,
( composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))
| composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))),composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))))) )],[refute_0_3751,refute_0_3752]) ).
cnf(refute_0_3754,plain,
composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) )],[refute_0_3750,refute_0_3753]) ).
cnf(refute_0_3755,plain,
composition(composition(top,X_850),skolemFOFtoCNF_X0) = composition(top,composition(X_850,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(top)),bind(X1,$fot(X_850)),bind(X2,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3756,plain,
converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)) = converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3757,plain,
( composition(composition(top,X_850),skolemFOFtoCNF_X0) != composition(top,composition(X_850,skolemFOFtoCNF_X0))
| converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)) != converse(composition(composition(top,X_850),skolemFOFtoCNF_X0))
| converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)) = converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)),converse(composition(composition(top,X_850),skolemFOFtoCNF_X0))) ),[1,0],$fot(composition(top,composition(X_850,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3758,plain,
( composition(composition(top,X_850),skolemFOFtoCNF_X0) != composition(top,composition(X_850,skolemFOFtoCNF_X0))
| converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)) = converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)),converse(composition(composition(top,X_850),skolemFOFtoCNF_X0))) )],[refute_0_3756,refute_0_3757]) ).
cnf(refute_0_3759,plain,
converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)) = converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(composition(top,X_850),skolemFOFtoCNF_X0),composition(top,composition(X_850,skolemFOFtoCNF_X0))) )],[refute_0_3755,refute_0_3758]) ).
cnf(refute_0_3760,plain,
composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))) = converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2672:[bind(X0,$fot(composition(top,X_850))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3761,plain,
( composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))) != converse(composition(composition(top,X_850),skolemFOFtoCNF_X0))
| converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)) != converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))
| composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))) = converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))))),bind(Y,$fot(converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)))),bind(Z,$fot(converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3762,plain,
( converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)) != converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))
| composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))) = converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))),converse(composition(composition(top,X_850),skolemFOFtoCNF_X0))) )],[refute_0_3760,refute_0_3761]) ).
cnf(refute_0_3763,plain,
composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))) = converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,X_850),skolemFOFtoCNF_X0)),converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))) )],[refute_0_3759,refute_0_3762]) ).
cnf(refute_0_3764,plain,
composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))) = composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))))]]) ).
cnf(refute_0_3765,plain,
( composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))) != converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))) != composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))))
| composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))) = composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))))) ),[1,1],$fot(converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3766,plain,
( composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))) != converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))) = composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))))) )],[refute_0_3764,refute_0_3765]) ).
cnf(refute_0_3767,plain,
composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))) = composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))),converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))) )],[refute_0_3763,refute_0_3766]) ).
cnf(refute_0_3768,plain,
composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))) = composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X2,$fot(converse(composition(top,X_850))))]]) ).
cnf(refute_0_3769,plain,
( composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))) != composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))))
| composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))) != composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))
| composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))) = composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3770,plain,
( composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))) != composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))
| composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))) = composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850))))) )],[refute_0_3768,refute_0_3769]) ).
cnf(refute_0_3771,plain,
composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))) = composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),converse(composition(top,X_850)))),composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))) )],[refute_0_3767,refute_0_3770]) ).
cnf(refute_0_3772,plain,
composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))) = composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))),
introduced(tautology,[refl,[$fot(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))]]) ).
cnf(refute_0_3773,plain,
( composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))) != composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))
| composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))) != composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))
| composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))),composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3774,plain,
( composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))) != composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))
| composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))),composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))) )],[refute_0_3772,refute_0_3773]) ).
cnf(refute_0_3775,plain,
composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))),composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))) )],[refute_0_3771,refute_0_3774]) ).
cnf(refute_0_3776,plain,
complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))) = complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))]]) ).
cnf(refute_0_3777,plain,
( complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))) != complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))
| composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))) != composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))
| complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))) = complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) ),[1,0],$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3778,plain,
( composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))) != composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))
| complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))) = complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) )],[refute_0_3776,refute_0_3777]) ).
cnf(refute_0_3779,plain,
complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))) = complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))),composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))) )],[refute_0_3775,refute_0_3778]) ).
cnf(refute_0_3780,plain,
composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))),
introduced(tautology,[refl,[$fot(composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))))]]) ).
cnf(refute_0_3781,plain,
( complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))) != complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))
| composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) != composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))
| composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))),composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) ),[1,1],$fot(complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_3782,plain,
( complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))) != complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))
| composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))),composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) )],[refute_0_3780,refute_0_3781]) ).
cnf(refute_0_3783,plain,
composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) )],[refute_0_3779,refute_0_3782]) ).
cnf(refute_0_3784,plain,
composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))),
introduced(tautology,[refl,[$fot(composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))))]]) ).
cnf(refute_0_3785,plain,
( composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) != composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))
| converse(converse(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))),composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_3786,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))),composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) )],[refute_0_3784,refute_0_3785]) ).
cnf(refute_0_3787,plain,
composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))),
inference(resolve,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_2961,refute_0_3786]) ).
cnf(refute_0_3788,plain,
( composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) != composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))
| composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) != composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))
| composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))))),bind(Y,$fot(composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))))),bind(Z,$fot(composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3789,plain,
( composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) != composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))
| composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))),composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) )],[refute_0_3787,refute_0_3788]) ).
cnf(refute_0_3790,plain,
composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))),composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) )],[refute_0_3783,refute_0_3789]) ).
cnf(refute_0_3791,plain,
( composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) != composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))
| composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) != composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))
| composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))))),bind(Y,$fot(composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3792,plain,
( composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) != composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))
| composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))),composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) )],[refute_0_3790,refute_0_3791]) ).
cnf(refute_0_3793,plain,
composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,top),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) )],[refute_0_3754,refute_0_3792]) ).
cnf(refute_0_3794,plain,
composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) = composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))),
introduced(tautology,[refl,[$fot(composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))))]]) ).
cnf(refute_0_3795,plain,
( composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) != composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))))
| composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) != composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))
| composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) = composition(X_850,composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))),composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3796,plain,
( composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))) != composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))
| composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) = composition(X_850,composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))),composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))))) )],[refute_0_3794,refute_0_3795]) ).
cnf(refute_0_3797,plain,
composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) = composition(X_850,composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850)))))),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) )],[refute_0_3793,refute_0_3796]) ).
cnf(refute_0_3798,plain,
( composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) != composition(X_850,composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))))
| composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) != zero
| composition(X_850,composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))),zero) ),[0],$fot(composition(X_850,composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3799,plain,
( composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))) != zero
| composition(X_850,composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))),composition(X_850,composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0))))))))) )],[refute_0_3797,refute_0_3798]) ).
cnf(refute_0_3800,plain,
composition(X_850,composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(X_850,skolemFOFtoCNF_X0)))))))) = zero,
inference(resolve,[$cnf( $equal(composition(X_850,composition(converse(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(composition(top,X_850))))))),zero) )],[refute_0_3168,refute_0_3799]) ).
cnf(refute_0_3801,plain,
composition(converse(X0),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))) = zero,
inference(subst,[],[refute_0_3800:[bind(X_850,$fot(converse(X0)))]]) ).
cnf(refute_0_3802,plain,
( composition(converse(X0),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))) != zero
| converse(composition(converse(X0),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)
| converse(zero) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))))),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_3803,plain,
( converse(composition(converse(X0),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)
| converse(zero) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(X0),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),zero) )],[refute_0_3801,refute_0_3802]) ).
cnf(refute_0_3804,plain,
converse(zero) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))))),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)) )],[refute_0_3102,refute_0_3803]) ).
cnf(refute_0_3805,plain,
( converse(zero) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)
| converse(zero) != zero
| zero = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)) ),[0],$fot(zero)]]) ).
cnf(refute_0_3806,plain,
( converse(zero) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)
| zero = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2410,refute_0_3805]) ).
cnf(refute_0_3807,plain,
composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) = composition(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),X2),
inference(subst,[],[refute_0_1205:[bind(X0,$fot(top)),bind(X1,$fot(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3808,plain,
( composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) != composition(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),X2)
| composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) = composition(converse(composition(skolemFOFtoCNF_X0,top)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)),composition(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),X2)) ),[1,0],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_3809,plain,
( composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) != composition(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),X2)
| composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) = composition(converse(composition(skolemFOFtoCNF_X0,top)),X2) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2657,refute_0_3808]) ).
cnf(refute_0_3810,plain,
composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) = composition(converse(composition(skolemFOFtoCNF_X0,top)),X2),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)),composition(composition(top,composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),X2)) )],[refute_0_3807,refute_0_3809]) ).
cnf(refute_0_3811,plain,
composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2) = composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2)),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3812,plain,
composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) = composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)),
introduced(tautology,[refl,[$fot(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)))]]) ).
cnf(refute_0_3813,plain,
( composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2) != composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))
| composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) != composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2))
| composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) = composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)),composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2)))]]) ).
cnf(refute_0_3814,plain,
( composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2) != composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))
| composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) = composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)),composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2))) )],[refute_0_3812,refute_0_3813]) ).
cnf(refute_0_3815,plain,
composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) = composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))) )],[refute_0_3811,refute_0_3814]) ).
cnf(refute_0_3816,plain,
( composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) != composition(converse(composition(skolemFOFtoCNF_X0,top)),X2)
| composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) != composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2)))
| composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)),composition(converse(composition(skolemFOFtoCNF_X0,top)),X2)) ),[0],$fot(composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_3817,plain,
( composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) != composition(converse(composition(skolemFOFtoCNF_X0,top)),X2)
| composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),X2) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)),composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2)))) )],[refute_0_3815,refute_0_3816]) ).
cnf(refute_0_3818,plain,
composition(top,composition(converse(X_80),X2)) = composition(composition(top,converse(X_80)),X2),
inference(subst,[],[refute_0_1205:[bind(X0,$fot(top)),bind(X1,$fot(converse(X_80)))]]) ).
cnf(refute_0_3819,plain,
converse(composition(X_80,top)) = composition(top,converse(X_80)),
inference(subst,[],[refute_0_1521:[bind(X_11,$fot(X_80))]]) ).
cnf(refute_0_3820,plain,
( converse(composition(X_80,top)) != composition(top,converse(X_80))
| composition(top,converse(X_80)) = converse(composition(X_80,top)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(X_80,top)))),bind(Y,$fot(composition(top,converse(X_80))))]]) ).
cnf(refute_0_3821,plain,
composition(top,converse(X_80)) = converse(composition(X_80,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_80,top)),composition(top,converse(X_80))) )],[refute_0_3819,refute_0_3820]) ).
cnf(refute_0_3822,plain,
( composition(top,composition(converse(X_80),X2)) != composition(composition(top,converse(X_80)),X2)
| composition(top,converse(X_80)) != converse(composition(X_80,top))
| composition(top,composition(converse(X_80),X2)) = composition(converse(composition(X_80,top)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(X_80),X2)),composition(composition(top,converse(X_80)),X2)) ),[1,0],$fot(converse(composition(X_80,top)))]]) ).
cnf(refute_0_3823,plain,
( composition(top,composition(converse(X_80),X2)) != composition(composition(top,converse(X_80)),X2)
| composition(top,composition(converse(X_80),X2)) = composition(converse(composition(X_80,top)),X2) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_80)),converse(composition(X_80,top))) )],[refute_0_3821,refute_0_3822]) ).
cnf(refute_0_3824,plain,
composition(top,composition(converse(X_80),X2)) = composition(converse(composition(X_80,top)),X2),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_80),X2)),composition(composition(top,converse(X_80)),X2)) )],[refute_0_3818,refute_0_3823]) ).
cnf(refute_0_3825,plain,
( composition(top,composition(converse(X_80),X2)) != composition(converse(composition(X_80,top)),X2)
| composition(converse(composition(X_80,top)),X2) = composition(top,composition(converse(X_80),X2)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(top,composition(converse(X_80),X2)))),bind(Y,$fot(composition(converse(composition(X_80,top)),X2)))]]) ).
cnf(refute_0_3826,plain,
composition(converse(composition(X_80,top)),X2) = composition(top,composition(converse(X_80),X2)),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_80),X2)),composition(converse(composition(X_80,top)),X2)) )],[refute_0_3824,refute_0_3825]) ).
cnf(refute_0_3827,plain,
composition(converse(composition(skolemFOFtoCNF_X0,top)),X2) = composition(top,composition(converse(skolemFOFtoCNF_X0),X2)),
inference(subst,[],[refute_0_3826:[bind(X_80,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3828,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),X2) != composition(top,composition(converse(skolemFOFtoCNF_X0),X2))
| composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),X2)
| composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))) = composition(top,composition(converse(skolemFOFtoCNF_X0),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))),composition(converse(composition(skolemFOFtoCNF_X0,top)),X2)) ),[1],$fot(composition(top,composition(converse(skolemFOFtoCNF_X0),X2)))]]) ).
cnf(refute_0_3829,plain,
( composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),X2)
| composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))) = composition(top,composition(converse(skolemFOFtoCNF_X0),X2)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),X2),composition(top,composition(converse(skolemFOFtoCNF_X0),X2))) )],[refute_0_3827,refute_0_3828]) ).
cnf(refute_0_3830,plain,
( composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) != composition(converse(composition(skolemFOFtoCNF_X0,top)),X2)
| composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))) = composition(top,composition(converse(skolemFOFtoCNF_X0),X2)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))),composition(converse(composition(skolemFOFtoCNF_X0,top)),X2)) )],[refute_0_3817,refute_0_3829]) ).
cnf(refute_0_3831,plain,
composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X2))) = composition(top,composition(converse(skolemFOFtoCNF_X0),X2)),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)),composition(converse(composition(skolemFOFtoCNF_X0,top)),X2)) )],[refute_0_3810,refute_0_3830]) ).
cnf(refute_0_3832,plain,
composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))) = composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))),
inference(subst,[],[refute_0_3831:[bind(X2,$fot(composition(X0,top)))]]) ).
cnf(refute_0_3833,plain,
converse(composition(top,composition(converse(X0),X_12))) = composition(converse(composition(converse(X0),X_12)),top),
inference(subst,[],[refute_0_2592:[bind(X_12,$fot(composition(converse(X0),X_12)))]]) ).
cnf(refute_0_3834,plain,
( converse(composition(converse(X0),X_12)) != composition(converse(X_12),X0)
| converse(composition(top,composition(converse(X0),X_12))) != composition(converse(composition(converse(X0),X_12)),top)
| converse(composition(top,composition(converse(X0),X_12))) = composition(composition(converse(X_12),X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(converse(X0),X_12))),composition(converse(composition(converse(X0),X_12)),top)) ),[1,0],$fot(composition(converse(X_12),X0))]]) ).
cnf(refute_0_3835,plain,
( converse(composition(top,composition(converse(X0),X_12))) != composition(converse(composition(converse(X0),X_12)),top)
| converse(composition(top,composition(converse(X0),X_12))) = composition(composition(converse(X_12),X0),top) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_12)),composition(converse(X_12),X0)) )],[refute_0_98,refute_0_3834]) ).
cnf(refute_0_3836,plain,
converse(composition(top,composition(converse(X0),X_12))) = composition(composition(converse(X_12),X0),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(X0),X_12))),composition(converse(composition(converse(X0),X_12)),top)) )],[refute_0_3833,refute_0_3835]) ).
cnf(refute_0_3837,plain,
composition(composition(converse(X_12),X0),top) = composition(converse(X_12),composition(X0,top)),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(converse(X_12))),bind(X1,$fot(X0)),bind(X2,$fot(top))]]) ).
cnf(refute_0_3838,plain,
( composition(composition(converse(X_12),X0),top) != composition(converse(X_12),composition(X0,top))
| converse(composition(top,composition(converse(X0),X_12))) != composition(composition(converse(X_12),X0),top)
| converse(composition(top,composition(converse(X0),X_12))) = composition(converse(X_12),composition(X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(converse(X0),X_12))),composition(composition(converse(X_12),X0),top)) ),[1],$fot(composition(converse(X_12),composition(X0,top)))]]) ).
cnf(refute_0_3839,plain,
( converse(composition(top,composition(converse(X0),X_12))) != composition(composition(converse(X_12),X0),top)
| converse(composition(top,composition(converse(X0),X_12))) = composition(converse(X_12),composition(X0,top)) ),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_12),X0),top),composition(converse(X_12),composition(X0,top))) )],[refute_0_3837,refute_0_3838]) ).
cnf(refute_0_3840,plain,
converse(composition(top,composition(converse(X0),X_12))) = composition(converse(X_12),composition(X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(X0),X_12))),composition(composition(converse(X_12),X0),top)) )],[refute_0_3836,refute_0_3839]) ).
cnf(refute_0_3841,plain,
converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))) = composition(converse(skolemFOFtoCNF_X0),composition(X0,top)),
inference(subst,[],[refute_0_3840:[bind(X_12,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3842,plain,
composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3843,plain,
( composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))
| converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))) != composition(converse(skolemFOFtoCNF_X0),composition(X0,top))
| composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) ),[1,1],$fot(composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))]]) ).
cnf(refute_0_3844,plain,
( converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))) != composition(converse(skolemFOFtoCNF_X0),composition(X0,top))
| composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) )],[refute_0_3842,refute_0_3843]) ).
cnf(refute_0_3845,plain,
composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))),composition(converse(skolemFOFtoCNF_X0),composition(X0,top))) )],[refute_0_3841,refute_0_3844]) ).
cnf(refute_0_3846,plain,
composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3847,plain,
( composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))
| composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) != composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))
| composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) = composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))),composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))]]) ).
cnf(refute_0_3848,plain,
( composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))
| composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) = composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))),composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))) )],[refute_0_3846,refute_0_3847]) ).
cnf(refute_0_3849,plain,
composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) = composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))) )],[refute_0_3845,refute_0_3848]) ).
cnf(refute_0_3850,plain,
( composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))) != composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))
| composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) != composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))
| composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))),bind(Z,$fot(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))]]) ).
cnf(refute_0_3851,plain,
( composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))) != composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))
| composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))),composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))) )],[refute_0_3849,refute_0_3850]) ).
cnf(refute_0_3852,plain,
composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))),composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))) )],[refute_0_3832,refute_0_3851]) ).
cnf(refute_0_3853,plain,
complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))) = complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_3854,plain,
( complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))) != complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))
| composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) != composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))
| complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))) = complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))) ),[1,0],$fot(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))]]) ).
cnf(refute_0_3855,plain,
( composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))) != composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))
| complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))) = complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))),complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))) )],[refute_0_3853,refute_0_3854]) ).
cnf(refute_0_3856,plain,
complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))) = complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))),composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))) )],[refute_0_3852,refute_0_3855]) ).
cnf(refute_0_3857,plain,
composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3858,plain,
( complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))) != complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))
| composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))) != composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))
| composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))]]) ).
cnf(refute_0_3859,plain,
( complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))) != complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))
| composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))) )],[refute_0_3857,refute_0_3858]) ).
cnf(refute_0_3860,plain,
composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))) = composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))),complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))) )],[refute_0_3856,refute_0_3859]) ).
cnf(refute_0_3861,plain,
converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))) = converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3862,plain,
( composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))) != composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))
| converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))) != converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))))
| converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))) = converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))))]]) ).
cnf(refute_0_3863,plain,
( composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))) != composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))
| converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))) = converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))))) )],[refute_0_3861,refute_0_3862]) ).
cnf(refute_0_3864,plain,
converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))) = converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0))))))),composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))) )],[refute_0_3860,refute_0_3863]) ).
cnf(refute_0_3865,plain,
composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0),
introduced(tautology,[refl,[$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0))]]) ).
cnf(refute_0_3866,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)
| converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))) != converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))))
| composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)) ),[1,0],$fot(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))))]]) ).
cnf(refute_0_3867,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))) != converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))))
| composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)) )],[refute_0_3865,refute_0_3866]) ).
cnf(refute_0_3868,plain,
composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0) = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))),X0),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top))))))) )],[refute_0_3864,refute_0_3867]) ).
cnf(refute_0_3869,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))),X0)
| zero != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)
| zero = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)) ),[1],$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))),X0))]]) ).
cnf(refute_0_3870,plain,
( zero != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)
| zero = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))),X0)) )],[refute_0_3868,refute_0_3869]) ).
cnf(refute_0_3871,plain,
( converse(zero) != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)
| zero = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))),X0) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)) )],[refute_0_3806,refute_0_3870]) ).
cnf(refute_0_3872,plain,
zero = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X0,top)))))),X0),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,composition(converse(X0),skolemFOFtoCNF_X0)))))))),X0)) )],[refute_0_3804,refute_0_3871]) ).
cnf(refute_0_3873,plain,
zero = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60),
inference(subst,[],[refute_0_3872:[bind(X0,$fot(X_60))]]) ).
cnf(refute_0_3874,plain,
( zero != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60)
| composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60)))]]) ).
cnf(refute_0_3875,plain,
composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60)) )],[refute_0_3873,refute_0_3874]) ).
cnf(refute_0_3876,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60) != zero
| join(composition(X_58,X_60),join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60),X2)) != join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)
| join(composition(X_58,X_60),join(zero,X2)) = join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_58,X_60),join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60),X2)),join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_3877,plain,
( join(composition(X_58,X_60),join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60),X2)) != join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)
| join(composition(X_58,X_60),join(zero,X2)) = join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60),zero) )],[refute_0_3875,refute_0_3876]) ).
cnf(refute_0_3878,plain,
join(composition(X_58,X_60),join(zero,X2)) = join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2),
inference(resolve,[$cnf( $equal(join(composition(X_58,X_60),join(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top)))))),X_60),X2)),join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)) )],[refute_0_3101,refute_0_3877]) ).
cnf(refute_0_3879,plain,
join(zero,join(X2,composition(X_58,X_60))) = join(X2,composition(X_58,X_60)),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(join(X2,composition(X_58,X_60))))]]) ).
cnf(refute_0_3880,plain,
join(X0,join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838)))) = join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)),
inference(subst,[],[refute_0_457:[bind(X_35,$fot(meet(join(X_34,X_838),meet(complement(X_34),X_838))))]]) ).
cnf(refute_0_3881,plain,
complement(complement(join(X_325,X_326))) = join(complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326))),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))),
inference(subst,[],[refute_0_763:[bind(X1,$fot(complement(join(X_325,X_326)))),bind(X_97,$fot(meet(complement(X_325),X_326)))]]) ).
cnf(refute_0_3882,plain,
( complement(complement(join(X_325,X_326))) != join(complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326))),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))
| join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)) != complement(X_325)
| complement(complement(join(X_325,X_326))) = join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(X_325,X_326))),join(complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326))),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))) ),[1,0,0],$fot(complement(X_325))]]) ).
cnf(refute_0_3883,plain,
( complement(complement(join(X_325,X_326))) != join(complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326))),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))
| complement(complement(join(X_325,X_326))) = join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326)),complement(X_325)) )],[refute_0_766,refute_0_3882]) ).
cnf(refute_0_3884,plain,
complement(complement(join(X_325,X_326))) = join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))),
inference(resolve,[$cnf( $equal(complement(complement(join(X_325,X_326))),join(complement(join(complement(join(X_325,X_326)),meet(complement(X_325),X_326))),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))) )],[refute_0_3881,refute_0_3883]) ).
cnf(refute_0_3885,plain,
complement(complement(join(X_325,X_326))) = join(X_325,X_326),
inference(subst,[],[refute_0_628:[bind(X1,$fot(join(X_325,X_326)))]]) ).
cnf(refute_0_3886,plain,
( complement(complement(join(X_325,X_326))) != join(X_325,X_326)
| complement(complement(join(X_325,X_326))) != join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))
| join(X_325,X_326) = join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(X_325,X_326))),join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))) ),[0],$fot(join(X_325,X_326))]]) ).
cnf(refute_0_3887,plain,
( complement(complement(join(X_325,X_326))) != join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))
| join(X_325,X_326) = join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) ),
inference(resolve,[$cnf( $equal(complement(complement(join(X_325,X_326))),join(X_325,X_326)) )],[refute_0_3885,refute_0_3886]) ).
cnf(refute_0_3888,plain,
meet(meet(complement(X_325),X_326),join(X_325,X_326)) = meet(join(X_325,X_326),meet(complement(X_325),X_326)),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(join(X_325,X_326))),bind(X_8,$fot(meet(complement(X_325),X_326)))]]) ).
cnf(refute_0_3889,plain,
meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))) = meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))),
introduced(tautology,[refl,[$fot(meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))))]]) ).
cnf(refute_0_3890,plain,
( complement(complement(join(X_325,X_326))) != join(X_325,X_326)
| meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))) != meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326))))
| meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))) = meet(meet(complement(X_325),X_326),join(X_325,X_326)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))),meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326))))) ),[1,1],$fot(join(X_325,X_326))]]) ).
cnf(refute_0_3891,plain,
( complement(complement(join(X_325,X_326))) != join(X_325,X_326)
| meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))) = meet(meet(complement(X_325),X_326),join(X_325,X_326)) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))),meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326))))) )],[refute_0_3889,refute_0_3890]) ).
cnf(refute_0_3892,plain,
meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))) = meet(meet(complement(X_325),X_326),join(X_325,X_326)),
inference(resolve,[$cnf( $equal(complement(complement(join(X_325,X_326))),join(X_325,X_326)) )],[refute_0_3885,refute_0_3891]) ).
cnf(refute_0_3893,plain,
( meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))) != meet(meet(complement(X_325),X_326),join(X_325,X_326))
| meet(meet(complement(X_325),X_326),join(X_325,X_326)) != meet(join(X_325,X_326),meet(complement(X_325),X_326))
| meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))) = meet(join(X_325,X_326),meet(complement(X_325),X_326)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))))),bind(Y,$fot(meet(meet(complement(X_325),X_326),join(X_325,X_326)))),bind(Z,$fot(meet(join(X_325,X_326),meet(complement(X_325),X_326))))]]) ).
cnf(refute_0_3894,plain,
( meet(meet(complement(X_325),X_326),join(X_325,X_326)) != meet(join(X_325,X_326),meet(complement(X_325),X_326))
| meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))) = meet(join(X_325,X_326),meet(complement(X_325),X_326)) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))),meet(meet(complement(X_325),X_326),join(X_325,X_326))) )],[refute_0_3892,refute_0_3893]) ).
cnf(refute_0_3895,plain,
meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))) = meet(join(X_325,X_326),meet(complement(X_325),X_326)),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_325),X_326),join(X_325,X_326)),meet(join(X_325,X_326),meet(complement(X_325),X_326))) )],[refute_0_3888,refute_0_3894]) ).
cnf(refute_0_3896,plain,
meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)) = meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))),
inference(subst,[],[refute_0_935:[bind(X_7,$fot(meet(complement(X_325),X_326))),bind(X_8,$fot(complement(complement(join(X_325,X_326)))))]]) ).
cnf(refute_0_3897,plain,
( meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)) != meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326))))
| meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))) != meet(join(X_325,X_326),meet(complement(X_325),X_326))
| meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)) = meet(join(X_325,X_326),meet(complement(X_325),X_326)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))),bind(Y,$fot(meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))))),bind(Z,$fot(meet(join(X_325,X_326),meet(complement(X_325),X_326))))]]) ).
cnf(refute_0_3898,plain,
( meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))) != meet(join(X_325,X_326),meet(complement(X_325),X_326))
| meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)) = meet(join(X_325,X_326),meet(complement(X_325),X_326)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)),meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326))))) )],[refute_0_3896,refute_0_3897]) ).
cnf(refute_0_3899,plain,
meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)) = meet(join(X_325,X_326),meet(complement(X_325),X_326)),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_325),X_326),complement(complement(join(X_325,X_326)))),meet(join(X_325,X_326),meet(complement(X_325),X_326))) )],[refute_0_3895,refute_0_3898]) ).
cnf(refute_0_3900,plain,
join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) = join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))),
introduced(tautology,[refl,[$fot(join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))))]]) ).
cnf(refute_0_3901,plain,
( join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) != join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))
| meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)) != meet(join(X_325,X_326),meet(complement(X_325),X_326))
| join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) = join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))),join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))) ),[1,1],$fot(meet(join(X_325,X_326),meet(complement(X_325),X_326)))]]) ).
cnf(refute_0_3902,plain,
( meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)) != meet(join(X_325,X_326),meet(complement(X_325),X_326))
| join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) = join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326))) ),
inference(resolve,[$cnf( $equal(join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))),join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))) )],[refute_0_3900,refute_0_3901]) ).
cnf(refute_0_3903,plain,
join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) = join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326))),
inference(resolve,[$cnf( $equal(meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)),meet(join(X_325,X_326),meet(complement(X_325),X_326))) )],[refute_0_3899,refute_0_3902]) ).
cnf(refute_0_3904,plain,
join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) = join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))))]]) ).
cnf(refute_0_3905,plain,
( complement(complement(X_325)) != X_325
| join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) != join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))
| join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) = join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))),join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))) ),[1,0],$fot(X_325)]]) ).
cnf(refute_0_3906,plain,
( complement(complement(X_325)) != X_325
| join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) = join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))),join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))) )],[refute_0_3904,refute_0_3905]) ).
cnf(refute_0_3907,plain,
join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) = join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))),
inference(resolve,[$cnf( $equal(complement(complement(X_325)),X_325) )],[refute_0_786,refute_0_3906]) ).
cnf(refute_0_3908,plain,
( join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) != join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326)))
| join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) != join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))
| join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) = join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))))),bind(Y,$fot(join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))))),bind(Z,$fot(join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326)))))]]) ).
cnf(refute_0_3909,plain,
( join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) != join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326)))
| join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) = join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))),join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))) )],[refute_0_3907,refute_0_3908]) ).
cnf(refute_0_3910,plain,
join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) = join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326))),
inference(resolve,[$cnf( $equal(join(X_325,meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))),join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326)))) )],[refute_0_3903,refute_0_3909]) ).
cnf(refute_0_3911,plain,
( join(X_325,X_326) != join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))
| join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))) != join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326)))
| join(X_325,X_326) = join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_325,X_326),join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326)))) ),[0],$fot(join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))))]]) ).
cnf(refute_0_3912,plain,
( join(X_325,X_326) != join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))
| join(X_325,X_326) = join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326))),join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326)))) )],[refute_0_3910,refute_0_3911]) ).
cnf(refute_0_3913,plain,
( complement(complement(join(X_325,X_326))) != join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))
| join(X_325,X_326) = join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326))) ),
inference(resolve,[$cnf( $equal(join(X_325,X_326),join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))) )],[refute_0_3887,refute_0_3912]) ).
cnf(refute_0_3914,plain,
join(X_325,X_326) = join(X_325,meet(join(X_325,X_326),meet(complement(X_325),X_326))),
inference(resolve,[$cnf( $equal(complement(complement(join(X_325,X_326))),join(complement(complement(X_325)),meet(complement(complement(join(X_325,X_326))),meet(complement(X_325),X_326)))) )],[refute_0_3884,refute_0_3913]) ).
cnf(refute_0_3915,plain,
join(X_34,X_838) = join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838))),
inference(subst,[],[refute_0_3914:[bind(X_325,$fot(X_34)),bind(X_326,$fot(X_838))]]) ).
cnf(refute_0_3916,plain,
( join(X_34,X_838) != join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838)))
| join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838))) = join(X_34,X_838) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_34,X_838))),bind(Y,$fot(join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838)))))]]) ).
cnf(refute_0_3917,plain,
join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838))) = join(X_34,X_838),
inference(resolve,[$cnf( $equal(join(X_34,X_838),join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838)))) )],[refute_0_3915,refute_0_3916]) ).
cnf(refute_0_3918,plain,
( join(X0,join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838)))) != join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0))
| join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838))) != join(X_34,X_838)
| join(X0,join(X_34,X_838)) = join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838)))),join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0))) ),[0,1],$fot(join(X_34,X_838))]]) ).
cnf(refute_0_3919,plain,
( join(X0,join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838)))) != join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0))
| join(X0,join(X_34,X_838)) = join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) ),
inference(resolve,[$cnf( $equal(join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838))),join(X_34,X_838)) )],[refute_0_3917,refute_0_3918]) ).
cnf(refute_0_3920,plain,
join(X0,join(X_34,X_838)) = join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_34,meet(join(X_34,X_838),meet(complement(X_34),X_838)))),join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0))) )],[refute_0_3880,refute_0_3919]) ).
cnf(refute_0_3921,plain,
join(join(X_370,X_36),join(X_370,X_368)) = join(X_370,join(X_368,join(X_370,X_36))),
inference(subst,[],[refute_0_1881:[bind(X_250,$fot(X_370)),bind(X_251,$fot(join(X_370,X_36))),bind(X_252,$fot(X_368))]]) ).
cnf(refute_0_3922,plain,
join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) = join(join(X_370,X_36),join(X_370,X_368)),
inference(subst,[],[refute_0_2902:[bind(X_177,$fot(X_370)),bind(X_370,$fot(join(X_370,X_36)))]]) ).
cnf(refute_0_3923,plain,
( join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) != join(join(X_370,X_36),join(X_370,X_368))
| join(join(X_370,X_36),join(X_370,X_368)) != join(X_370,join(X_368,join(X_370,X_36)))
| join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) = join(X_370,join(X_368,join(X_370,X_36))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)))),bind(Y,$fot(join(join(X_370,X_36),join(X_370,X_368)))),bind(Z,$fot(join(X_370,join(X_368,join(X_370,X_36)))))]]) ).
cnf(refute_0_3924,plain,
( join(join(X_370,X_36),join(X_370,X_368)) != join(X_370,join(X_368,join(X_370,X_36)))
| join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) = join(X_370,join(X_368,join(X_370,X_36))) ),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)),join(join(X_370,X_36),join(X_370,X_368))) )],[refute_0_3922,refute_0_3923]) ).
cnf(refute_0_3925,plain,
join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) = join(X_370,join(X_368,join(X_370,X_36))),
inference(resolve,[$cnf( $equal(join(join(X_370,X_36),join(X_370,X_368)),join(X_370,join(X_368,join(X_370,X_36)))) )],[refute_0_3921,refute_0_3924]) ).
cnf(refute_0_3926,plain,
( join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) != join(X_370,join(X_36,X_368))
| join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) != join(X_370,join(X_368,join(X_370,X_36)))
| join(X_370,join(X_368,join(X_370,X_36))) = join(X_370,join(X_36,X_368)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)),join(X_370,join(X_36,X_368))) ),[0],$fot(join(X_370,join(X_368,join(X_370,X_36))))]]) ).
cnf(refute_0_3927,plain,
( join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)) != join(X_370,join(X_36,X_368))
| join(X_370,join(X_368,join(X_370,X_36))) = join(X_370,join(X_36,X_368)) ),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)),join(X_370,join(X_368,join(X_370,X_36)))) )],[refute_0_3925,refute_0_3926]) ).
cnf(refute_0_3928,plain,
join(X_370,join(X_368,join(X_370,X_36))) = join(X_370,join(X_36,X_368)),
inference(resolve,[$cnf( $equal(join(X_370,join(meet(complement(X_370),join(X_370,X_36)),X_368)),join(X_370,join(X_36,X_368))) )],[refute_0_2869,refute_0_3927]) ).
cnf(refute_0_3929,plain,
join(X_34,join(X0,join(X_34,X_838))) = join(X_34,join(X_838,X0)),
inference(subst,[],[refute_0_3928:[bind(X_36,$fot(X_838)),bind(X_368,$fot(X0)),bind(X_370,$fot(X_34))]]) ).
cnf(refute_0_3930,plain,
join(join(X_34,X_838),join(X_34,X0)) = join(X_34,join(X0,join(X_34,X_838))),
inference(subst,[],[refute_0_1976:[bind(X2,$fot(join(X_34,X_838))),bind(X_469,$fot(X0)),bind(X_470,$fot(X_34))]]) ).
cnf(refute_0_3931,plain,
( join(X_34,join(X0,join(X_34,X_838))) != join(X_34,join(X_838,X0))
| join(join(X_34,X_838),join(X_34,X0)) != join(X_34,join(X0,join(X_34,X_838)))
| join(join(X_34,X_838),join(X_34,X0)) = join(X_34,join(X_838,X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(join(X_34,X_838),join(X_34,X0)))),bind(Y,$fot(join(X_34,join(X0,join(X_34,X_838))))),bind(Z,$fot(join(X_34,join(X_838,X0))))]]) ).
cnf(refute_0_3932,plain,
( join(X_34,join(X0,join(X_34,X_838))) != join(X_34,join(X_838,X0))
| join(join(X_34,X_838),join(X_34,X0)) = join(X_34,join(X_838,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_34,X_838),join(X_34,X0)),join(X_34,join(X0,join(X_34,X_838)))) )],[refute_0_3930,refute_0_3931]) ).
cnf(refute_0_3933,plain,
join(join(X_34,X_838),join(X_34,X0)) = join(X_34,join(X_838,X0)),
inference(resolve,[$cnf( $equal(join(X_34,join(X0,join(X_34,X_838))),join(X_34,join(X_838,X0))) )],[refute_0_3929,refute_0_3932]) ).
cnf(refute_0_3934,plain,
join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)) = join(join(X_34,X_838),join(X_34,X0)),
inference(subst,[],[refute_0_2902:[bind(X_177,$fot(X_34)),bind(X_368,$fot(X0)),bind(X_370,$fot(join(X_34,X_838)))]]) ).
cnf(refute_0_3935,plain,
( join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)) != join(join(X_34,X_838),join(X_34,X0))
| join(join(X_34,X_838),join(X_34,X0)) != join(X_34,join(X_838,X0))
| join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)) = join(X_34,join(X_838,X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)))),bind(Y,$fot(join(join(X_34,X_838),join(X_34,X0)))),bind(Z,$fot(join(X_34,join(X_838,X0))))]]) ).
cnf(refute_0_3936,plain,
( join(join(X_34,X_838),join(X_34,X0)) != join(X_34,join(X_838,X0))
| join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)) = join(X_34,join(X_838,X0)) ),
inference(resolve,[$cnf( $equal(join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)),join(join(X_34,X_838),join(X_34,X0))) )],[refute_0_3934,refute_0_3935]) ).
cnf(refute_0_3937,plain,
join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)) = join(X_34,join(X_838,X0)),
inference(resolve,[$cnf( $equal(join(join(X_34,X_838),join(X_34,X0)),join(X_34,join(X_838,X0))) )],[refute_0_3933,refute_0_3936]) ).
cnf(refute_0_3938,plain,
meet(X0,complement(meet(X0,X_395))) = complement(join(complement(X0),meet(X0,X_395))),
inference(subst,[],[refute_0_318:[bind(X_19,$fot(meet(X0,X_395)))]]) ).
cnf(refute_0_3939,plain,
join(complement(X0),meet(X0,X_395)) = join(X_395,complement(X0)),
inference(subst,[],[refute_0_1074:[bind(X_369,$fot(X_395)),bind(X_370,$fot(X0))]]) ).
cnf(refute_0_3940,plain,
( join(complement(X0),meet(X0,X_395)) != join(X_395,complement(X0))
| meet(X0,complement(meet(X0,X_395))) != complement(join(complement(X0),meet(X0,X_395)))
| meet(X0,complement(meet(X0,X_395))) = complement(join(X_395,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(meet(X0,X_395))),complement(join(complement(X0),meet(X0,X_395)))) ),[1,0],$fot(join(X_395,complement(X0)))]]) ).
cnf(refute_0_3941,plain,
( meet(X0,complement(meet(X0,X_395))) != complement(join(complement(X0),meet(X0,X_395)))
| meet(X0,complement(meet(X0,X_395))) = complement(join(X_395,complement(X0))) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(X0,X_395)),join(X_395,complement(X0))) )],[refute_0_3939,refute_0_3940]) ).
cnf(refute_0_3942,plain,
meet(X0,complement(meet(X0,X_395))) = complement(join(X_395,complement(X0))),
inference(resolve,[$cnf( $equal(meet(X0,complement(meet(X0,X_395))),complement(join(complement(X0),meet(X0,X_395)))) )],[refute_0_3938,refute_0_3941]) ).
cnf(refute_0_3943,plain,
complement(join(X_395,complement(X0))) = meet(complement(X_395),X0),
inference(subst,[],[refute_0_365:[bind(X1,$fot(X0)),bind(X_19,$fot(X_395))]]) ).
cnf(refute_0_3944,plain,
( complement(join(X_395,complement(X0))) != meet(complement(X_395),X0)
| meet(X0,complement(meet(X0,X_395))) != complement(join(X_395,complement(X0)))
| meet(X0,complement(meet(X0,X_395))) = meet(complement(X_395),X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(meet(X0,X_395))),complement(join(X_395,complement(X0)))) ),[1],$fot(meet(complement(X_395),X0))]]) ).
cnf(refute_0_3945,plain,
( meet(X0,complement(meet(X0,X_395))) != complement(join(X_395,complement(X0)))
| meet(X0,complement(meet(X0,X_395))) = meet(complement(X_395),X0) ),
inference(resolve,[$cnf( $equal(complement(join(X_395,complement(X0))),meet(complement(X_395),X0)) )],[refute_0_3943,refute_0_3944]) ).
cnf(refute_0_3946,plain,
meet(X0,complement(meet(X0,X_395))) = meet(complement(X_395),X0),
inference(resolve,[$cnf( $equal(meet(X0,complement(meet(X0,X_395))),complement(join(X_395,complement(X0)))) )],[refute_0_3942,refute_0_3945]) ).
cnf(refute_0_3947,plain,
meet(join(X_332,X_333),complement(meet(join(X_332,X_333),join(complement(X_333),X_332)))) = meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)),
inference(subst,[],[refute_0_3946:[bind(X0,$fot(join(X_332,X_333))),bind(X_395,$fot(join(complement(X_333),X_332)))]]) ).
cnf(refute_0_3948,plain,
join(complement(X_333),X_332) = join(X_332,complement(X_333)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(complement(X_333))),bind(X1,$fot(X_332))]]) ).
cnf(refute_0_3949,plain,
( join(complement(X_333),X_332) != join(X_332,complement(X_333))
| join(X_332,complement(X_333)) = join(complement(X_333),X_332) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_333),X_332))),bind(Y,$fot(join(X_332,complement(X_333))))]]) ).
cnf(refute_0_3950,plain,
join(X_332,complement(X_333)) = join(complement(X_333),X_332),
inference(resolve,[$cnf( $equal(join(complement(X_333),X_332),join(X_332,complement(X_333))) )],[refute_0_3948,refute_0_3949]) ).
cnf(refute_0_3951,plain,
( join(X_332,complement(X_333)) != join(complement(X_333),X_332)
| meet(join(X_332,X_333),join(X_332,complement(X_333))) != X_332
| meet(join(X_332,X_333),join(complement(X_333),X_332)) = X_332 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_332,X_333),join(X_332,complement(X_333))),X_332) ),[0,1],$fot(join(complement(X_333),X_332))]]) ).
cnf(refute_0_3952,plain,
( meet(join(X_332,X_333),join(X_332,complement(X_333))) != X_332
| meet(join(X_332,X_333),join(complement(X_333),X_332)) = X_332 ),
inference(resolve,[$cnf( $equal(join(X_332,complement(X_333)),join(complement(X_333),X_332)) )],[refute_0_3950,refute_0_3951]) ).
cnf(refute_0_3953,plain,
meet(join(X_332,X_333),join(complement(X_333),X_332)) = X_332,
inference(resolve,[$cnf( $equal(meet(join(X_332,X_333),join(X_332,complement(X_333))),X_332) )],[refute_0_791,refute_0_3952]) ).
cnf(refute_0_3954,plain,
( meet(join(X_332,X_333),complement(meet(join(X_332,X_333),join(complement(X_333),X_332)))) != meet(complement(join(complement(X_333),X_332)),join(X_332,X_333))
| meet(join(X_332,X_333),join(complement(X_333),X_332)) != X_332
| meet(join(X_332,X_333),complement(X_332)) = meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_332,X_333),complement(meet(join(X_332,X_333),join(complement(X_333),X_332)))),meet(complement(join(complement(X_333),X_332)),join(X_332,X_333))) ),[0,1,0],$fot(X_332)]]) ).
cnf(refute_0_3955,plain,
( meet(join(X_332,X_333),complement(meet(join(X_332,X_333),join(complement(X_333),X_332)))) != meet(complement(join(complement(X_333),X_332)),join(X_332,X_333))
| meet(join(X_332,X_333),complement(X_332)) = meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)) ),
inference(resolve,[$cnf( $equal(meet(join(X_332,X_333),join(complement(X_333),X_332)),X_332) )],[refute_0_3953,refute_0_3954]) ).
cnf(refute_0_3956,plain,
meet(join(X_332,X_333),complement(X_332)) = meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)),
inference(resolve,[$cnf( $equal(meet(join(X_332,X_333),complement(meet(join(X_332,X_333),join(complement(X_333),X_332)))),meet(complement(join(complement(X_333),X_332)),join(X_332,X_333))) )],[refute_0_3947,refute_0_3955]) ).
cnf(refute_0_3957,plain,
meet(join(X_332,X_333),complement(X_332)) = meet(complement(X_332),join(X_332,X_333)),
inference(subst,[],[refute_0_2028:[bind(X_225,$fot(join(X_332,X_333))),bind(X_226,$fot(X_332))]]) ).
cnf(refute_0_3958,plain,
( meet(join(X_332,X_333),complement(X_332)) != meet(complement(X_332),join(X_332,X_333))
| meet(join(X_332,X_333),complement(X_332)) != meet(complement(join(complement(X_333),X_332)),join(X_332,X_333))
| meet(complement(X_332),join(X_332,X_333)) = meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_332,X_333),complement(X_332)),meet(complement(join(complement(X_333),X_332)),join(X_332,X_333))) ),[0],$fot(meet(complement(X_332),join(X_332,X_333)))]]) ).
cnf(refute_0_3959,plain,
( meet(join(X_332,X_333),complement(X_332)) != meet(complement(join(complement(X_333),X_332)),join(X_332,X_333))
| meet(complement(X_332),join(X_332,X_333)) = meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)) ),
inference(resolve,[$cnf( $equal(meet(join(X_332,X_333),complement(X_332)),meet(complement(X_332),join(X_332,X_333))) )],[refute_0_3957,refute_0_3958]) ).
cnf(refute_0_3960,plain,
complement(join(X_332,complement(X_333))) = meet(complement(X_332),X_333),
inference(subst,[],[refute_0_365:[bind(X1,$fot(X_333)),bind(X_19,$fot(X_332))]]) ).
cnf(refute_0_3961,plain,
meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))) = meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))),
introduced(tautology,[refl,[$fot(meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))))]]) ).
cnf(refute_0_3962,plain,
( complement(join(X_332,complement(X_333))) != meet(complement(X_332),X_333)
| meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))) != meet(join(X_332,X_333),complement(join(X_332,complement(X_333))))
| meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))) = meet(join(X_332,X_333),meet(complement(X_332),X_333)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))),meet(join(X_332,X_333),complement(join(X_332,complement(X_333))))) ),[1,1],$fot(meet(complement(X_332),X_333))]]) ).
cnf(refute_0_3963,plain,
( complement(join(X_332,complement(X_333))) != meet(complement(X_332),X_333)
| meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))) = meet(join(X_332,X_333),meet(complement(X_332),X_333)) ),
inference(resolve,[$cnf( $equal(meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))),meet(join(X_332,X_333),complement(join(X_332,complement(X_333))))) )],[refute_0_3961,refute_0_3962]) ).
cnf(refute_0_3964,plain,
meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))) = meet(join(X_332,X_333),meet(complement(X_332),X_333)),
inference(resolve,[$cnf( $equal(complement(join(X_332,complement(X_333))),meet(complement(X_332),X_333)) )],[refute_0_3960,refute_0_3963]) ).
cnf(refute_0_3965,plain,
meet(X0,complement(join(X_763,X_762))) = complement(join(complement(X0),join(X_763,X_762))),
inference(subst,[],[refute_0_318:[bind(X_19,$fot(join(X_763,X_762)))]]) ).
cnf(refute_0_3966,plain,
join(complement(X0),join(X_763,X_762)) = join(X_762,join(X_763,complement(X0))),
inference(subst,[],[refute_0_2449:[bind(X1,$fot(X_762)),bind(X_529,$fot(X_763)),bind(X_530,$fot(complement(X0)))]]) ).
cnf(refute_0_3967,plain,
( join(complement(X0),join(X_763,X_762)) != join(X_762,join(X_763,complement(X0)))
| meet(X0,complement(join(X_763,X_762))) != complement(join(complement(X0),join(X_763,X_762)))
| meet(X0,complement(join(X_763,X_762))) = complement(join(X_762,join(X_763,complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(join(X_763,X_762))),complement(join(complement(X0),join(X_763,X_762)))) ),[1,0],$fot(join(X_762,join(X_763,complement(X0))))]]) ).
cnf(refute_0_3968,plain,
( meet(X0,complement(join(X_763,X_762))) != complement(join(complement(X0),join(X_763,X_762)))
| meet(X0,complement(join(X_763,X_762))) = complement(join(X_762,join(X_763,complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(X0),join(X_763,X_762)),join(X_762,join(X_763,complement(X0)))) )],[refute_0_3966,refute_0_3967]) ).
cnf(refute_0_3969,plain,
meet(X0,complement(join(X_763,X_762))) = complement(join(X_762,join(X_763,complement(X0)))),
inference(resolve,[$cnf( $equal(meet(X0,complement(join(X_763,X_762))),complement(join(complement(X0),join(X_763,X_762)))) )],[refute_0_3965,refute_0_3968]) ).
cnf(refute_0_3970,plain,
meet(complement(join(X0,X1)),X_292) = complement(join(join(X0,X1),complement(X_292))),
inference(subst,[],[refute_0_363:[bind(X1,$fot(X_292)),bind(X_19,$fot(join(X0,X1)))]]) ).
cnf(refute_0_3971,plain,
join(X0,join(X1,complement(X_292))) = join(join(X0,X1),complement(X_292)),
inference(subst,[],[refute_0_0:[bind(X2,$fot(complement(X_292)))]]) ).
cnf(refute_0_3972,plain,
( join(X0,join(X1,complement(X_292))) != join(join(X0,X1),complement(X_292))
| join(join(X0,X1),complement(X_292)) = join(X0,join(X1,complement(X_292))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X1,complement(X_292))))),bind(Y,$fot(join(join(X0,X1),complement(X_292))))]]) ).
cnf(refute_0_3973,plain,
join(join(X0,X1),complement(X_292)) = join(X0,join(X1,complement(X_292))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,complement(X_292))),join(join(X0,X1),complement(X_292))) )],[refute_0_3971,refute_0_3972]) ).
cnf(refute_0_3974,plain,
( join(join(X0,X1),complement(X_292)) != join(X0,join(X1,complement(X_292)))
| meet(complement(join(X0,X1)),X_292) != complement(join(join(X0,X1),complement(X_292)))
| meet(complement(join(X0,X1)),X_292) = complement(join(X0,join(X1,complement(X_292)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X0,X1)),X_292),complement(join(join(X0,X1),complement(X_292)))) ),[1,0],$fot(join(X0,join(X1,complement(X_292))))]]) ).
cnf(refute_0_3975,plain,
( meet(complement(join(X0,X1)),X_292) != complement(join(join(X0,X1),complement(X_292)))
| meet(complement(join(X0,X1)),X_292) = complement(join(X0,join(X1,complement(X_292)))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),complement(X_292)),join(X0,join(X1,complement(X_292)))) )],[refute_0_3973,refute_0_3974]) ).
cnf(refute_0_3976,plain,
meet(complement(join(X0,X1)),X_292) = complement(join(X0,join(X1,complement(X_292)))),
inference(resolve,[$cnf( $equal(meet(complement(join(X0,X1)),X_292),complement(join(join(X0,X1),complement(X_292)))) )],[refute_0_3970,refute_0_3975]) ).
cnf(refute_0_3977,plain,
( meet(complement(join(X0,X1)),X_292) != complement(join(X0,join(X1,complement(X_292))))
| complement(join(X0,join(X1,complement(X_292)))) = meet(complement(join(X0,X1)),X_292) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(complement(join(X0,X1)),X_292))),bind(Y,$fot(complement(join(X0,join(X1,complement(X_292))))))]]) ).
cnf(refute_0_3978,plain,
complement(join(X0,join(X1,complement(X_292)))) = meet(complement(join(X0,X1)),X_292),
inference(resolve,[$cnf( $equal(meet(complement(join(X0,X1)),X_292),complement(join(X0,join(X1,complement(X_292))))) )],[refute_0_3976,refute_0_3977]) ).
cnf(refute_0_3979,plain,
complement(join(X_762,join(X_763,complement(X0)))) = meet(complement(join(X_762,X_763)),X0),
inference(subst,[],[refute_0_3978:[bind(X0,$fot(X_762)),bind(X1,$fot(X_763)),bind(X_292,$fot(X0))]]) ).
cnf(refute_0_3980,plain,
( complement(join(X_762,join(X_763,complement(X0)))) != meet(complement(join(X_762,X_763)),X0)
| meet(X0,complement(join(X_763,X_762))) != complement(join(X_762,join(X_763,complement(X0))))
| meet(X0,complement(join(X_763,X_762))) = meet(complement(join(X_762,X_763)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(join(X_763,X_762))),complement(join(X_762,join(X_763,complement(X0))))) ),[1],$fot(meet(complement(join(X_762,X_763)),X0))]]) ).
cnf(refute_0_3981,plain,
( meet(X0,complement(join(X_763,X_762))) != complement(join(X_762,join(X_763,complement(X0))))
| meet(X0,complement(join(X_763,X_762))) = meet(complement(join(X_762,X_763)),X0) ),
inference(resolve,[$cnf( $equal(complement(join(X_762,join(X_763,complement(X0)))),meet(complement(join(X_762,X_763)),X0)) )],[refute_0_3979,refute_0_3980]) ).
cnf(refute_0_3982,plain,
meet(X0,complement(join(X_763,X_762))) = meet(complement(join(X_762,X_763)),X0),
inference(resolve,[$cnf( $equal(meet(X0,complement(join(X_763,X_762))),complement(join(X_762,join(X_763,complement(X0))))) )],[refute_0_3969,refute_0_3981]) ).
cnf(refute_0_3983,plain,
( meet(X0,complement(join(X_763,X_762))) != meet(complement(join(X_762,X_763)),X0)
| meet(complement(join(X_762,X_763)),X0) = meet(X0,complement(join(X_763,X_762))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X0,complement(join(X_763,X_762))))),bind(Y,$fot(meet(complement(join(X_762,X_763)),X0)))]]) ).
cnf(refute_0_3984,plain,
meet(complement(join(X_762,X_763)),X0) = meet(X0,complement(join(X_763,X_762))),
inference(resolve,[$cnf( $equal(meet(X0,complement(join(X_763,X_762))),meet(complement(join(X_762,X_763)),X0)) )],[refute_0_3982,refute_0_3983]) ).
cnf(refute_0_3985,plain,
meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)) = meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))),
inference(subst,[],[refute_0_3984:[bind(X0,$fot(join(X_332,X_333))),bind(X_762,$fot(complement(X_333))),bind(X_763,$fot(X_332))]]) ).
cnf(refute_0_3986,plain,
( meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)) != meet(join(X_332,X_333),complement(join(X_332,complement(X_333))))
| meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))) != meet(join(X_332,X_333),meet(complement(X_332),X_333))
| meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)) = meet(join(X_332,X_333),meet(complement(X_332),X_333)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)))),bind(Y,$fot(meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))))),bind(Z,$fot(meet(join(X_332,X_333),meet(complement(X_332),X_333))))]]) ).
cnf(refute_0_3987,plain,
( meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))) != meet(join(X_332,X_333),meet(complement(X_332),X_333))
| meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)) = meet(join(X_332,X_333),meet(complement(X_332),X_333)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)),meet(join(X_332,X_333),complement(join(X_332,complement(X_333))))) )],[refute_0_3985,refute_0_3986]) ).
cnf(refute_0_3988,plain,
meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)) = meet(join(X_332,X_333),meet(complement(X_332),X_333)),
inference(resolve,[$cnf( $equal(meet(join(X_332,X_333),complement(join(X_332,complement(X_333)))),meet(join(X_332,X_333),meet(complement(X_332),X_333))) )],[refute_0_3964,refute_0_3987]) ).
cnf(refute_0_3989,plain,
( meet(complement(X_332),join(X_332,X_333)) != meet(complement(join(complement(X_333),X_332)),join(X_332,X_333))
| meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)) != meet(join(X_332,X_333),meet(complement(X_332),X_333))
| meet(complement(X_332),join(X_332,X_333)) = meet(join(X_332,X_333),meet(complement(X_332),X_333)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(X_332),join(X_332,X_333)),meet(join(X_332,X_333),meet(complement(X_332),X_333))) ),[0],$fot(meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)))]]) ).
cnf(refute_0_3990,plain,
( meet(complement(X_332),join(X_332,X_333)) != meet(complement(join(complement(X_333),X_332)),join(X_332,X_333))
| meet(complement(X_332),join(X_332,X_333)) = meet(join(X_332,X_333),meet(complement(X_332),X_333)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_333),X_332)),join(X_332,X_333)),meet(join(X_332,X_333),meet(complement(X_332),X_333))) )],[refute_0_3988,refute_0_3989]) ).
cnf(refute_0_3991,plain,
( meet(join(X_332,X_333),complement(X_332)) != meet(complement(join(complement(X_333),X_332)),join(X_332,X_333))
| meet(complement(X_332),join(X_332,X_333)) = meet(join(X_332,X_333),meet(complement(X_332),X_333)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_332),join(X_332,X_333)),meet(complement(join(complement(X_333),X_332)),join(X_332,X_333))) )],[refute_0_3959,refute_0_3990]) ).
cnf(refute_0_3992,plain,
meet(complement(X_332),join(X_332,X_333)) = meet(join(X_332,X_333),meet(complement(X_332),X_333)),
inference(resolve,[$cnf( $equal(meet(join(X_332,X_333),complement(X_332)),meet(complement(join(complement(X_333),X_332)),join(X_332,X_333))) )],[refute_0_3956,refute_0_3991]) ).
cnf(refute_0_3993,plain,
( meet(complement(X_332),join(X_332,X_333)) != meet(join(X_332,X_333),meet(complement(X_332),X_333))
| meet(join(X_332,X_333),meet(complement(X_332),X_333)) = meet(complement(X_332),join(X_332,X_333)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(complement(X_332),join(X_332,X_333)))),bind(Y,$fot(meet(join(X_332,X_333),meet(complement(X_332),X_333))))]]) ).
cnf(refute_0_3994,plain,
meet(join(X_332,X_333),meet(complement(X_332),X_333)) = meet(complement(X_332),join(X_332,X_333)),
inference(resolve,[$cnf( $equal(meet(complement(X_332),join(X_332,X_333)),meet(join(X_332,X_333),meet(complement(X_332),X_333))) )],[refute_0_3992,refute_0_3993]) ).
cnf(refute_0_3995,plain,
meet(join(X_34,X_838),meet(complement(X_34),X_838)) = meet(complement(X_34),join(X_34,X_838)),
inference(subst,[],[refute_0_3994:[bind(X_332,$fot(X_34)),bind(X_333,$fot(X_838))]]) ).
cnf(refute_0_3996,plain,
join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0) = join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0),
introduced(tautology,[refl,[$fot(join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0))]]) ).
cnf(refute_0_3997,plain,
( join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0) != join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)
| meet(join(X_34,X_838),meet(complement(X_34),X_838)) != meet(complement(X_34),join(X_34,X_838))
| join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0) = join(meet(complement(X_34),join(X_34,X_838)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0),join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) ),[1,0],$fot(meet(complement(X_34),join(X_34,X_838)))]]) ).
cnf(refute_0_3998,plain,
( meet(join(X_34,X_838),meet(complement(X_34),X_838)) != meet(complement(X_34),join(X_34,X_838))
| join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0) = join(meet(complement(X_34),join(X_34,X_838)),X0) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0),join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) )],[refute_0_3996,refute_0_3997]) ).
cnf(refute_0_3999,plain,
join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0) = join(meet(complement(X_34),join(X_34,X_838)),X0),
inference(resolve,[$cnf( $equal(meet(join(X_34,X_838),meet(complement(X_34),X_838)),meet(complement(X_34),join(X_34,X_838))) )],[refute_0_3995,refute_0_3998]) ).
cnf(refute_0_4000,plain,
join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) = join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)),
introduced(tautology,[refl,[$fot(join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)))]]) ).
cnf(refute_0_4001,plain,
( join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) != join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0))
| join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0) != join(meet(complement(X_34),join(X_34,X_838)),X0)
| join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) = join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)),join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0))) ),[1,1],$fot(join(meet(complement(X_34),join(X_34,X_838)),X0))]]) ).
cnf(refute_0_4002,plain,
( join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0) != join(meet(complement(X_34),join(X_34,X_838)),X0)
| join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) = join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)) ),
inference(resolve,[$cnf( $equal(join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)),join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0))) )],[refute_0_4000,refute_0_4001]) ).
cnf(refute_0_4003,plain,
join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) = join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)),
inference(resolve,[$cnf( $equal(join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0),join(meet(complement(X_34),join(X_34,X_838)),X0)) )],[refute_0_3999,refute_0_4002]) ).
cnf(refute_0_4004,plain,
( join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)) != join(X_34,join(X_838,X0))
| join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) != join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0))
| join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) = join(X_34,join(X_838,X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)))),bind(Y,$fot(join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)))),bind(Z,$fot(join(X_34,join(X_838,X0))))]]) ).
cnf(refute_0_4005,plain,
( join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)) != join(X_34,join(X_838,X0))
| join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) = join(X_34,join(X_838,X0)) ),
inference(resolve,[$cnf( $equal(join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)),join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0))) )],[refute_0_4003,refute_0_4004]) ).
cnf(refute_0_4006,plain,
join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) = join(X_34,join(X_838,X0)),
inference(resolve,[$cnf( $equal(join(X_34,join(meet(complement(X_34),join(X_34,X_838)),X0)),join(X_34,join(X_838,X0))) )],[refute_0_3937,refute_0_4005]) ).
cnf(refute_0_4007,plain,
( join(X0,join(X_34,X_838)) != join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0))
| join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)) != join(X_34,join(X_838,X0))
| join(X0,join(X_34,X_838)) = join(X_34,join(X_838,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_34,X_838)),join(X_34,join(X_838,X0))) ),[0],$fot(join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)))]]) ).
cnf(refute_0_4008,plain,
( join(X0,join(X_34,X_838)) != join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0))
| join(X0,join(X_34,X_838)) = join(X_34,join(X_838,X0)) ),
inference(resolve,[$cnf( $equal(join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0)),join(X_34,join(X_838,X0))) )],[refute_0_4006,refute_0_4007]) ).
cnf(refute_0_4009,plain,
join(X0,join(X_34,X_838)) = join(X_34,join(X_838,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_34,X_838)),join(X_34,join(meet(join(X_34,X_838),meet(complement(X_34),X_838)),X0))) )],[refute_0_3920,refute_0_4008]) ).
cnf(refute_0_4010,plain,
join(composition(X_58,X_60),join(zero,X2)) = join(zero,join(X2,composition(X_58,X_60))),
inference(subst,[],[refute_0_4009:[bind(X0,$fot(composition(X_58,X_60))),bind(X_34,$fot(zero)),bind(X_838,$fot(X2))]]) ).
cnf(refute_0_4011,plain,
( join(composition(X_58,X_60),join(zero,X2)) != join(zero,join(X2,composition(X_58,X_60)))
| join(zero,join(X2,composition(X_58,X_60))) != join(X2,composition(X_58,X_60))
| join(composition(X_58,X_60),join(zero,X2)) = join(X2,composition(X_58,X_60)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(X_58,X_60),join(zero,X2)))),bind(Y,$fot(join(zero,join(X2,composition(X_58,X_60))))),bind(Z,$fot(join(X2,composition(X_58,X_60))))]]) ).
cnf(refute_0_4012,plain,
( join(zero,join(X2,composition(X_58,X_60))) != join(X2,composition(X_58,X_60))
| join(composition(X_58,X_60),join(zero,X2)) = join(X2,composition(X_58,X_60)) ),
inference(resolve,[$cnf( $equal(join(composition(X_58,X_60),join(zero,X2)),join(zero,join(X2,composition(X_58,X_60)))) )],[refute_0_4010,refute_0_4011]) ).
cnf(refute_0_4013,plain,
join(composition(X_58,X_60),join(zero,X2)) = join(X2,composition(X_58,X_60)),
inference(resolve,[$cnf( $equal(join(zero,join(X2,composition(X_58,X_60))),join(X2,composition(X_58,X_60))) )],[refute_0_3879,refute_0_4012]) ).
cnf(refute_0_4014,plain,
( join(composition(X_58,X_60),join(zero,X2)) != join(X2,composition(X_58,X_60))
| join(composition(X_58,X_60),join(zero,X2)) != join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)
| join(X2,composition(X_58,X_60)) = join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_58,X_60),join(zero,X2)),join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)) ),[0],$fot(join(X2,composition(X_58,X_60)))]]) ).
cnf(refute_0_4015,plain,
( join(composition(X_58,X_60),join(zero,X2)) != join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)
| join(X2,composition(X_58,X_60)) = join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X_58,X_60),join(zero,X2)),join(X2,composition(X_58,X_60))) )],[refute_0_4013,refute_0_4014]) ).
cnf(refute_0_4016,plain,
join(X2,composition(X_58,X_60)) = join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2),
inference(resolve,[$cnf( $equal(join(composition(X_58,X_60),join(zero,X2)),join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)) )],[refute_0_3878,refute_0_4015]) ).
cnf(refute_0_4017,plain,
composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2) = join(composition(X0,X2),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2)),
inference(subst,[],[refute_0_154:[bind(X1,$fot(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))))]]) ).
cnf(refute_0_4018,plain,
zero = composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2),
inference(subst,[],[refute_0_3872:[bind(X0,$fot(X2))]]) ).
cnf(refute_0_4019,plain,
( zero != composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2)
| composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2)))]]) ).
cnf(refute_0_4020,plain,
composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2)) )],[refute_0_4018,refute_0_4019]) ).
cnf(refute_0_4021,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2) != zero
| composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2) != join(composition(X0,X2),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2))
| composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2) = join(composition(X0,X2),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2),join(composition(X0,X2),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_4022,plain,
( composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2) != join(composition(X0,X2),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2))
| composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2) = join(composition(X0,X2),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2),zero) )],[refute_0_4020,refute_0_4021]) ).
cnf(refute_0_4023,plain,
composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2) = join(composition(X0,X2),zero),
inference(resolve,[$cnf( $equal(composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2),join(composition(X0,X2),composition(converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top)))))),X2))) )],[refute_0_4017,refute_0_4022]) ).
cnf(refute_0_4024,plain,
join(zero,composition(X0,X2)) = composition(X0,X2),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(composition(X0,X2)))]]) ).
cnf(refute_0_4025,plain,
join(composition(X0,X2),zero) = join(zero,composition(X0,X2)),
inference(subst,[],[refute_0_390:[bind(X_34,$fot(composition(X0,X2))),bind(X_35,$fot(zero))]]) ).
cnf(refute_0_4026,plain,
( join(composition(X0,X2),zero) != join(zero,composition(X0,X2))
| join(zero,composition(X0,X2)) != composition(X0,X2)
| join(composition(X0,X2),zero) = composition(X0,X2) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(X0,X2),zero))),bind(Y,$fot(join(zero,composition(X0,X2)))),bind(Z,$fot(composition(X0,X2)))]]) ).
cnf(refute_0_4027,plain,
( join(zero,composition(X0,X2)) != composition(X0,X2)
| join(composition(X0,X2),zero) = composition(X0,X2) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),zero),join(zero,composition(X0,X2))) )],[refute_0_4025,refute_0_4026]) ).
cnf(refute_0_4028,plain,
join(composition(X0,X2),zero) = composition(X0,X2),
inference(resolve,[$cnf( $equal(join(zero,composition(X0,X2)),composition(X0,X2)) )],[refute_0_4024,refute_0_4027]) ).
cnf(refute_0_4029,plain,
( composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2) != join(composition(X0,X2),zero)
| join(composition(X0,X2),zero) != composition(X0,X2)
| composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2) = composition(X0,X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2),composition(X0,X2)) ),[0],$fot(join(composition(X0,X2),zero))]]) ).
cnf(refute_0_4030,plain,
( composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2) != join(composition(X0,X2),zero)
| composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2) = composition(X0,X2) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),zero),composition(X0,X2)) )],[refute_0_4028,refute_0_4029]) ).
cnf(refute_0_4031,plain,
composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2) = composition(X0,X2),
inference(resolve,[$cnf( $equal(composition(join(X0,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X2,top))))))),X2),join(composition(X0,X2),zero)) )],[refute_0_4023,refute_0_4030]) ).
cnf(refute_0_4032,plain,
composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60) = composition(X_58,X_60),
inference(subst,[],[refute_0_4031:[bind(X0,$fot(X_58)),bind(X2,$fot(X_60))]]) ).
cnf(refute_0_4033,plain,
join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2) = join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2),
introduced(tautology,[refl,[$fot(join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2))]]) ).
cnf(refute_0_4034,plain,
( composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60) != composition(X_58,X_60)
| join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2) != join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)
| join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2) = join(composition(X_58,X_60),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2),join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)) ),[1,0],$fot(composition(X_58,X_60))]]) ).
cnf(refute_0_4035,plain,
( composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60) != composition(X_58,X_60)
| join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2) = join(composition(X_58,X_60),X2) ),
inference(resolve,[$cnf( $equal(join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2),join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)) )],[refute_0_4033,refute_0_4034]) ).
cnf(refute_0_4036,plain,
join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2) = join(composition(X_58,X_60),X2),
inference(resolve,[$cnf( $equal(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),composition(X_58,X_60)) )],[refute_0_4032,refute_0_4035]) ).
cnf(refute_0_4037,plain,
( join(X2,composition(X_58,X_60)) != join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)
| join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2) != join(composition(X_58,X_60),X2)
| join(X2,composition(X_58,X_60)) = join(composition(X_58,X_60),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X2,composition(X_58,X_60)),join(composition(X_58,X_60),X2)) ),[0],$fot(join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2))]]) ).
cnf(refute_0_4038,plain,
( join(X2,composition(X_58,X_60)) != join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)
| join(X2,composition(X_58,X_60)) = join(composition(X_58,X_60),X2) ),
inference(resolve,[$cnf( $equal(join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2),join(composition(X_58,X_60),X2)) )],[refute_0_4036,refute_0_4037]) ).
cnf(refute_0_4039,plain,
join(X2,composition(X_58,X_60)) = join(composition(X_58,X_60),X2),
inference(resolve,[$cnf( $equal(join(X2,composition(X_58,X_60)),join(composition(join(X_58,converse(composition(skolemFOFtoCNF_X0,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),composition(X_60,top))))))),X_60),X2)) )],[refute_0_4016,refute_0_4038]) ).
cnf(refute_0_4040,plain,
join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),
inference(subst,[],[refute_0_4039:[bind(X2,$fot(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))),bind(X_58,$fot(converse(skolemFOFtoCNF_X0))),bind(X_60,$fot(complement(zero)))]]) ).
cnf(refute_0_4041,plain,
( join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) != join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) != converse(composition(top,skolemFOFtoCNF_X0))
| join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))))),bind(Y,$fot(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),bind(Z,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4042,plain,
( join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) != converse(composition(top,skolemFOFtoCNF_X0))
| join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))),join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_4040,refute_0_4041]) ).
cnf(refute_0_4043,plain,
join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_3100,refute_0_4042]) ).
cnf(refute_0_4044,plain,
( join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) != complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) != converse(composition(top,skolemFOFtoCNF_X0))
| converse(composition(top,skolemFOFtoCNF_X0)) = complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) ),[0],$fot(converse(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4045,plain,
( join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) != complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| converse(composition(top,skolemFOFtoCNF_X0)) = complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4043,refute_0_4044]) ).
cnf(refute_0_4046,plain,
( complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) != composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))
| converse(composition(top,skolemFOFtoCNF_X0)) != complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| converse(composition(top,skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) ),[1],$fot(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_4047,plain,
( converse(composition(top,skolemFOFtoCNF_X0)) != complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| converse(composition(top,skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_3079,refute_0_4046]) ).
cnf(refute_0_4048,plain,
( join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) != complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| converse(composition(top,skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0)),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_4045,refute_0_4047]) ).
cnf(refute_0_4049,plain,
converse(composition(top,skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))),complement(complement(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_2981,refute_0_4048]) ).
cnf(refute_0_4050,plain,
( converse(composition(top,skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))
| composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(top,skolemFOFtoCNF_X0)))),bind(Y,$fot(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_4051,plain,
composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_4049,refute_0_4050]) ).
cnf(refute_0_4052,plain,
( composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) != join(composition(skolemFOFtoCNF_X0,top),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) = join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)),join(composition(skolemFOFtoCNF_X0,top),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) ),[1,1],$fot(converse(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4053,plain,
( composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) != join(composition(skolemFOFtoCNF_X0,top),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) = join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4051,refute_0_4052]) ).
cnf(refute_0_4054,plain,
composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) = join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)),join(composition(skolemFOFtoCNF_X0,top),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_2537,refute_0_4053]) ).
cnf(refute_0_4055,plain,
converse(join(skolemFOFtoCNF_X0,one)) = converse(join(one,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_3662:[bind(X_57,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4056,plain,
join(one,converse(skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,one)),
inference(subst,[],[refute_0_145:[bind(X_25,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4057,plain,
( converse(join(skolemFOFtoCNF_X0,one)) != converse(join(one,skolemFOFtoCNF_X0))
| join(one,converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,one))
| join(one,converse(skolemFOFtoCNF_X0)) = converse(join(one,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,one)))),bind(Z,$fot(converse(join(one,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4058,plain,
( converse(join(skolemFOFtoCNF_X0,one)) != converse(join(one,skolemFOFtoCNF_X0))
| join(one,converse(skolemFOFtoCNF_X0)) = converse(join(one,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,one))) )],[refute_0_4056,refute_0_4057]) ).
cnf(refute_0_4059,plain,
join(one,converse(skolemFOFtoCNF_X0)) = converse(join(one,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,one)),converse(join(one,skolemFOFtoCNF_X0))) )],[refute_0_4055,refute_0_4058]) ).
cnf(refute_0_4060,plain,
composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),
introduced(tautology,[refl,[$fot(composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_4061,plain,
( composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| join(one,converse(skolemFOFtoCNF_X0)) != converse(join(one,skolemFOFtoCNF_X0))
| composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) ),[1,0],$fot(converse(join(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4062,plain,
( join(one,converse(skolemFOFtoCNF_X0)) != converse(join(one,skolemFOFtoCNF_X0))
| composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_4060,refute_0_4061]) ).
cnf(refute_0_4063,plain,
composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(one,converse(skolemFOFtoCNF_X0)),converse(join(one,skolemFOFtoCNF_X0))) )],[refute_0_4059,refute_0_4062]) ).
cnf(refute_0_4064,plain,
converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) = converse(join(composition(converse(X_505),complement(composition(top,composition(X_505,top)))),composition(converse(X_505),converse(X_706)))),
inference(subst,[],[refute_0_2696:[bind(X0,$fot(converse(X_505))),bind(X1,$fot(complement(composition(top,composition(X_505,top))))),bind(X_59,$fot(X_706))]]) ).
cnf(refute_0_4065,plain,
composition(converse(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = zero,
inference(subst,[],[refute_0_2535:[bind(X0,$fot(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))),bind(X1,$fot(composition(top,X_505)))]]) ).
cnf(refute_0_4066,plain,
converse(composition(converse(composition(converse(X_13),X_14)),X_12)) = composition(converse(X_12),composition(converse(X_13),X_14)),
inference(subst,[],[refute_0_98:[bind(X0,$fot(composition(converse(X_13),X_14)))]]) ).
cnf(refute_0_4067,plain,
converse(composition(converse(X_13),X_14)) = composition(converse(X_14),X_13),
inference(subst,[],[refute_0_98:[bind(X0,$fot(X_13)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_4068,plain,
( converse(composition(converse(X_13),X_14)) != composition(converse(X_14),X_13)
| converse(composition(converse(composition(converse(X_13),X_14)),X_12)) != composition(converse(X_12),composition(converse(X_13),X_14))
| converse(composition(composition(converse(X_14),X_13),X_12)) = composition(converse(X_12),composition(converse(X_13),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(converse(X_13),X_14)),X_12)),composition(converse(X_12),composition(converse(X_13),X_14))) ),[0,0,0],$fot(composition(converse(X_14),X_13))]]) ).
cnf(refute_0_4069,plain,
( converse(composition(converse(composition(converse(X_13),X_14)),X_12)) != composition(converse(X_12),composition(converse(X_13),X_14))
| converse(composition(composition(converse(X_14),X_13),X_12)) = composition(converse(X_12),composition(converse(X_13),X_14)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_13),X_14)),composition(converse(X_14),X_13)) )],[refute_0_4067,refute_0_4068]) ).
cnf(refute_0_4070,plain,
converse(composition(composition(converse(X_14),X_13),X_12)) = composition(converse(X_12),composition(converse(X_13),X_14)),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(converse(X_13),X_14)),X_12)),composition(converse(X_12),composition(converse(X_13),X_14))) )],[refute_0_4066,refute_0_4069]) ).
cnf(refute_0_4071,plain,
converse(composition(converse(X_14),composition(X_13,X_12))) = composition(converse(composition(X_13,X_12)),X_14),
inference(subst,[],[refute_0_98:[bind(X0,$fot(X_14)),bind(X_12,$fot(composition(X_13,X_12)))]]) ).
cnf(refute_0_4072,plain,
composition(composition(converse(X_14),X_13),X_12) = composition(converse(X_14),composition(X_13,X_12)),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(converse(X_14))),bind(X1,$fot(X_13)),bind(X2,$fot(X_12))]]) ).
cnf(refute_0_4073,plain,
converse(composition(composition(converse(X_14),X_13),X_12)) = converse(composition(composition(converse(X_14),X_13),X_12)),
introduced(tautology,[refl,[$fot(converse(composition(composition(converse(X_14),X_13),X_12)))]]) ).
cnf(refute_0_4074,plain,
( composition(composition(converse(X_14),X_13),X_12) != composition(converse(X_14),composition(X_13,X_12))
| converse(composition(composition(converse(X_14),X_13),X_12)) != converse(composition(composition(converse(X_14),X_13),X_12))
| converse(composition(composition(converse(X_14),X_13),X_12)) = converse(composition(converse(X_14),composition(X_13,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_14),X_13),X_12)),converse(composition(composition(converse(X_14),X_13),X_12))) ),[1,0],$fot(composition(converse(X_14),composition(X_13,X_12)))]]) ).
cnf(refute_0_4075,plain,
( composition(composition(converse(X_14),X_13),X_12) != composition(converse(X_14),composition(X_13,X_12))
| converse(composition(composition(converse(X_14),X_13),X_12)) = converse(composition(converse(X_14),composition(X_13,X_12))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_14),X_13),X_12)),converse(composition(composition(converse(X_14),X_13),X_12))) )],[refute_0_4073,refute_0_4074]) ).
cnf(refute_0_4076,plain,
converse(composition(composition(converse(X_14),X_13),X_12)) = converse(composition(converse(X_14),composition(X_13,X_12))),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_14),X_13),X_12),composition(converse(X_14),composition(X_13,X_12))) )],[refute_0_4072,refute_0_4075]) ).
cnf(refute_0_4077,plain,
( converse(composition(composition(converse(X_14),X_13),X_12)) != converse(composition(converse(X_14),composition(X_13,X_12)))
| converse(composition(converse(X_14),composition(X_13,X_12))) != composition(converse(composition(X_13,X_12)),X_14)
| converse(composition(composition(converse(X_14),X_13),X_12)) = composition(converse(composition(X_13,X_12)),X_14) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(composition(composition(converse(X_14),X_13),X_12)))),bind(Y,$fot(converse(composition(converse(X_14),composition(X_13,X_12))))),bind(Z,$fot(composition(converse(composition(X_13,X_12)),X_14)))]]) ).
cnf(refute_0_4078,plain,
( converse(composition(converse(X_14),composition(X_13,X_12))) != composition(converse(composition(X_13,X_12)),X_14)
| converse(composition(composition(converse(X_14),X_13),X_12)) = composition(converse(composition(X_13,X_12)),X_14) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_14),X_13),X_12)),converse(composition(converse(X_14),composition(X_13,X_12)))) )],[refute_0_4076,refute_0_4077]) ).
cnf(refute_0_4079,plain,
converse(composition(composition(converse(X_14),X_13),X_12)) = composition(converse(composition(X_13,X_12)),X_14),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_14),composition(X_13,X_12))),composition(converse(composition(X_13,X_12)),X_14)) )],[refute_0_4071,refute_0_4078]) ).
cnf(refute_0_4080,plain,
( converse(composition(composition(converse(X_14),X_13),X_12)) != composition(converse(X_12),composition(converse(X_13),X_14))
| converse(composition(composition(converse(X_14),X_13),X_12)) != composition(converse(composition(X_13,X_12)),X_14)
| composition(converse(composition(X_13,X_12)),X_14) = composition(converse(X_12),composition(converse(X_13),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_14),X_13),X_12)),composition(converse(X_12),composition(converse(X_13),X_14))) ),[0],$fot(composition(converse(composition(X_13,X_12)),X_14))]]) ).
cnf(refute_0_4081,plain,
( converse(composition(composition(converse(X_14),X_13),X_12)) != composition(converse(X_12),composition(converse(X_13),X_14))
| composition(converse(composition(X_13,X_12)),X_14) = composition(converse(X_12),composition(converse(X_13),X_14)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_14),X_13),X_12)),composition(converse(composition(X_13,X_12)),X_14)) )],[refute_0_4079,refute_0_4080]) ).
cnf(refute_0_4082,plain,
composition(converse(composition(X_13,X_12)),X_14) = composition(converse(X_12),composition(converse(X_13),X_14)),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_14),X_13),X_12)),composition(converse(X_12),composition(converse(X_13),X_14))) )],[refute_0_4070,refute_0_4081]) ).
cnf(refute_0_4083,plain,
composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505) = composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)),
inference(subst,[],[refute_0_4082:[bind(X_12,$fot(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),bind(X_13,$fot(top)),bind(X_14,$fot(X_505))]]) ).
cnf(refute_0_4084,plain,
top = join(composition(top,join(one,X_144)),converse(complement(converse(composition(top,join(one,X_144)))))),
inference(subst,[],[refute_0_896:[bind(X_28,$fot(composition(top,join(one,X_144))))]]) ).
cnf(refute_0_4085,plain,
converse(composition(top,join(one,X_144))) = top,
inference(subst,[],[refute_0_3230:[bind(X_93,$fot(X_144))]]) ).
cnf(refute_0_4086,plain,
( converse(composition(top,join(one,X_144))) != top
| top != join(composition(top,join(one,X_144)),converse(complement(converse(composition(top,join(one,X_144))))))
| top = join(composition(top,join(one,X_144)),converse(complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(composition(top,join(one,X_144)),converse(complement(converse(composition(top,join(one,X_144))))))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_4087,plain,
( top != join(composition(top,join(one,X_144)),converse(complement(converse(composition(top,join(one,X_144))))))
| top = join(composition(top,join(one,X_144)),converse(complement(top))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,X_144))),top) )],[refute_0_4085,refute_0_4086]) ).
cnf(refute_0_4088,plain,
top = join(composition(top,join(one,X_144)),converse(complement(top))),
inference(resolve,[$cnf( $equal(top,join(composition(top,join(one,X_144)),converse(complement(converse(composition(top,join(one,X_144))))))) )],[refute_0_4084,refute_0_4087]) ).
cnf(refute_0_4089,plain,
join(zero,composition(top,join(one,X_144))) = composition(top,join(one,X_144)),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(composition(top,join(one,X_144))))]]) ).
cnf(refute_0_4090,plain,
( converse(complement(top)) != converse(zero)
| converse(zero) != zero
| converse(complement(top)) = zero ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(complement(top)))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4091,plain,
( converse(zero) != zero
| converse(complement(top)) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_2389,refute_0_4090]) ).
cnf(refute_0_4092,plain,
converse(complement(top)) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2410,refute_0_4091]) ).
cnf(refute_0_4093,plain,
join(converse(complement(top)),composition(top,join(one,X_144))) = join(converse(complement(top)),composition(top,join(one,X_144))),
introduced(tautology,[refl,[$fot(join(converse(complement(top)),composition(top,join(one,X_144))))]]) ).
cnf(refute_0_4094,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),composition(top,join(one,X_144))) != join(converse(complement(top)),composition(top,join(one,X_144)))
| join(converse(complement(top)),composition(top,join(one,X_144))) = join(zero,composition(top,join(one,X_144))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(top)),composition(top,join(one,X_144))),join(converse(complement(top)),composition(top,join(one,X_144)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4095,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),composition(top,join(one,X_144))) = join(zero,composition(top,join(one,X_144))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),composition(top,join(one,X_144))),join(converse(complement(top)),composition(top,join(one,X_144)))) )],[refute_0_4093,refute_0_4094]) ).
cnf(refute_0_4096,plain,
join(converse(complement(top)),composition(top,join(one,X_144))) = join(zero,composition(top,join(one,X_144))),
inference(resolve,[$cnf( $equal(converse(complement(top)),zero) )],[refute_0_4092,refute_0_4095]) ).
cnf(refute_0_4097,plain,
( join(converse(complement(top)),composition(top,join(one,X_144))) != join(zero,composition(top,join(one,X_144)))
| join(zero,composition(top,join(one,X_144))) != composition(top,join(one,X_144))
| join(converse(complement(top)),composition(top,join(one,X_144))) = composition(top,join(one,X_144)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(converse(complement(top)),composition(top,join(one,X_144))))),bind(Y,$fot(join(zero,composition(top,join(one,X_144))))),bind(Z,$fot(composition(top,join(one,X_144))))]]) ).
cnf(refute_0_4098,plain,
( join(zero,composition(top,join(one,X_144))) != composition(top,join(one,X_144))
| join(converse(complement(top)),composition(top,join(one,X_144))) = composition(top,join(one,X_144)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),composition(top,join(one,X_144))),join(zero,composition(top,join(one,X_144)))) )],[refute_0_4096,refute_0_4097]) ).
cnf(refute_0_4099,plain,
join(converse(complement(top)),composition(top,join(one,X_144))) = composition(top,join(one,X_144)),
inference(resolve,[$cnf( $equal(join(zero,composition(top,join(one,X_144))),composition(top,join(one,X_144))) )],[refute_0_4089,refute_0_4098]) ).
cnf(refute_0_4100,plain,
join(composition(top,join(one,X_144)),converse(complement(top))) = join(converse(complement(top)),composition(top,join(one,X_144))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(converse(complement(top)))),bind(X1,$fot(composition(top,join(one,X_144))))]]) ).
cnf(refute_0_4101,plain,
( join(composition(top,join(one,X_144)),converse(complement(top))) != join(converse(complement(top)),composition(top,join(one,X_144)))
| join(converse(complement(top)),composition(top,join(one,X_144))) != composition(top,join(one,X_144))
| join(composition(top,join(one,X_144)),converse(complement(top))) = composition(top,join(one,X_144)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(top,join(one,X_144)),converse(complement(top))))),bind(Y,$fot(join(converse(complement(top)),composition(top,join(one,X_144))))),bind(Z,$fot(composition(top,join(one,X_144))))]]) ).
cnf(refute_0_4102,plain,
( join(converse(complement(top)),composition(top,join(one,X_144))) != composition(top,join(one,X_144))
| join(composition(top,join(one,X_144)),converse(complement(top))) = composition(top,join(one,X_144)) ),
inference(resolve,[$cnf( $equal(join(composition(top,join(one,X_144)),converse(complement(top))),join(converse(complement(top)),composition(top,join(one,X_144)))) )],[refute_0_4100,refute_0_4101]) ).
cnf(refute_0_4103,plain,
join(composition(top,join(one,X_144)),converse(complement(top))) = composition(top,join(one,X_144)),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),composition(top,join(one,X_144))),composition(top,join(one,X_144))) )],[refute_0_4099,refute_0_4102]) ).
cnf(refute_0_4104,plain,
( join(composition(top,join(one,X_144)),converse(complement(top))) != composition(top,join(one,X_144))
| top != join(composition(top,join(one,X_144)),converse(complement(top)))
| top = composition(top,join(one,X_144)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(composition(top,join(one,X_144)),converse(complement(top)))) ),[1],$fot(composition(top,join(one,X_144)))]]) ).
cnf(refute_0_4105,plain,
( top != join(composition(top,join(one,X_144)),converse(complement(top)))
| top = composition(top,join(one,X_144)) ),
inference(resolve,[$cnf( $equal(join(composition(top,join(one,X_144)),converse(complement(top))),composition(top,join(one,X_144))) )],[refute_0_4103,refute_0_4104]) ).
cnf(refute_0_4106,plain,
top = composition(top,join(one,X_144)),
inference(resolve,[$cnf( $equal(top,join(composition(top,join(one,X_144)),converse(complement(top)))) )],[refute_0_4088,refute_0_4105]) ).
cnf(refute_0_4107,plain,
top = composition(top,join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),
inference(subst,[],[refute_0_4106:[bind(X_144,$fot(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))]]) ).
cnf(refute_0_4108,plain,
complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = join(meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))),
inference(subst,[],[refute_0_328:[bind(X_96,$fot(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_4109,plain,
one = join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)),
inference(subst,[],[refute_0_373:[bind(X_96,$fot(one)),bind(X_97,$fot(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))]]) ).
cnf(refute_0_4110,plain,
join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(composition(top,complement(meet(X_369,complement(X_370))))))) = join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))),
inference(subst,[],[refute_0_334:[bind(X2,$fot(complement(composition(top,complement(meet(X_369,complement(X_370))))))),bind(X_238,$fot(X_369)),bind(X_239,$fot(X_370))]]) ).
cnf(refute_0_4111,plain,
meet(join(X_332,composition(top,complement(X_332))),join(X_332,complement(composition(top,complement(X_332))))) = X_332,
inference(subst,[],[refute_0_790:[bind(X_325,$fot(X_332)),bind(X_326,$fot(composition(top,complement(X_332))))]]) ).
cnf(refute_0_4112,plain,
join(X_332,composition(top,complement(X_332))) = top,
inference(subst,[],[refute_0_1452:[bind(X_212,$fot(X_332))]]) ).
cnf(refute_0_4113,plain,
( join(X_332,composition(top,complement(X_332))) != top
| meet(join(X_332,composition(top,complement(X_332))),join(X_332,complement(composition(top,complement(X_332))))) != X_332
| meet(top,join(X_332,complement(composition(top,complement(X_332))))) = X_332 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_332,composition(top,complement(X_332))),join(X_332,complement(composition(top,complement(X_332))))),X_332) ),[0,0],$fot(top)]]) ).
cnf(refute_0_4114,plain,
( meet(join(X_332,composition(top,complement(X_332))),join(X_332,complement(composition(top,complement(X_332))))) != X_332
| meet(top,join(X_332,complement(composition(top,complement(X_332))))) = X_332 ),
inference(resolve,[$cnf( $equal(join(X_332,composition(top,complement(X_332))),top) )],[refute_0_4112,refute_0_4113]) ).
cnf(refute_0_4115,plain,
meet(top,join(X_332,complement(composition(top,complement(X_332))))) = X_332,
inference(resolve,[$cnf( $equal(meet(join(X_332,composition(top,complement(X_332))),join(X_332,complement(composition(top,complement(X_332))))),X_332) )],[refute_0_4111,refute_0_4114]) ).
cnf(refute_0_4116,plain,
meet(top,join(X_332,complement(composition(top,complement(X_332))))) = join(X_332,complement(composition(top,complement(X_332)))),
inference(subst,[],[refute_0_305:[bind(X_98,$fot(join(X_332,complement(composition(top,complement(X_332))))))]]) ).
cnf(refute_0_4117,plain,
( meet(top,join(X_332,complement(composition(top,complement(X_332))))) != X_332
| meet(top,join(X_332,complement(composition(top,complement(X_332))))) != join(X_332,complement(composition(top,complement(X_332))))
| join(X_332,complement(composition(top,complement(X_332)))) = X_332 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(X_332,complement(composition(top,complement(X_332))))),X_332) ),[0],$fot(join(X_332,complement(composition(top,complement(X_332)))))]]) ).
cnf(refute_0_4118,plain,
( meet(top,join(X_332,complement(composition(top,complement(X_332))))) != X_332
| join(X_332,complement(composition(top,complement(X_332)))) = X_332 ),
inference(resolve,[$cnf( $equal(meet(top,join(X_332,complement(composition(top,complement(X_332))))),join(X_332,complement(composition(top,complement(X_332))))) )],[refute_0_4116,refute_0_4117]) ).
cnf(refute_0_4119,plain,
join(X_332,complement(composition(top,complement(X_332)))) = X_332,
inference(resolve,[$cnf( $equal(meet(top,join(X_332,complement(composition(top,complement(X_332))))),X_332) )],[refute_0_4115,refute_0_4118]) ).
cnf(refute_0_4120,plain,
join(meet(X_369,complement(X_370)),complement(composition(top,complement(meet(X_369,complement(X_370)))))) = meet(X_369,complement(X_370)),
inference(subst,[],[refute_0_4119:[bind(X_332,$fot(meet(X_369,complement(X_370))))]]) ).
cnf(refute_0_4121,plain,
( join(meet(X_369,complement(X_370)),complement(composition(top,complement(meet(X_369,complement(X_370)))))) != meet(X_369,complement(X_370))
| join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(composition(top,complement(meet(X_369,complement(X_370))))))) != join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))
| join(meet(X_370,X_369),meet(X_369,complement(X_370))) = join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(composition(top,complement(meet(X_369,complement(X_370))))))),join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))) ),[0,1],$fot(meet(X_369,complement(X_370)))]]) ).
cnf(refute_0_4122,plain,
( join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(composition(top,complement(meet(X_369,complement(X_370))))))) != join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))
| join(meet(X_370,X_369),meet(X_369,complement(X_370))) = join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_369,complement(X_370)),complement(composition(top,complement(meet(X_369,complement(X_370)))))),meet(X_369,complement(X_370))) )],[refute_0_4120,refute_0_4121]) ).
cnf(refute_0_4123,plain,
join(meet(X_370,X_369),meet(X_369,complement(X_370))) = join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),join(meet(X_369,complement(X_370)),complement(composition(top,complement(meet(X_369,complement(X_370))))))),join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))) )],[refute_0_4110,refute_0_4122]) ).
cnf(refute_0_4124,plain,
( X_96 != join(meet(X_97,X_96),meet(X_96,complement(X_97)))
| join(meet(X_97,X_96),meet(X_96,complement(X_97))) = X_96 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_96)),bind(Y,$fot(join(meet(X_97,X_96),meet(X_96,complement(X_97)))))]]) ).
cnf(refute_0_4125,plain,
join(meet(X_97,X_96),meet(X_96,complement(X_97))) = X_96,
inference(resolve,[$cnf( $equal(X_96,join(meet(X_97,X_96),meet(X_96,complement(X_97)))) )],[refute_0_328,refute_0_4124]) ).
cnf(refute_0_4126,plain,
join(meet(X_370,X_369),meet(X_369,complement(X_370))) = X_369,
inference(subst,[],[refute_0_4125:[bind(X_96,$fot(X_369)),bind(X_97,$fot(X_370))]]) ).
cnf(refute_0_4127,plain,
( join(meet(X_370,X_369),meet(X_369,complement(X_370))) != X_369
| join(meet(X_370,X_369),meet(X_369,complement(X_370))) != join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))
| X_369 = join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_370,X_369),meet(X_369,complement(X_370))),join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))) ),[0],$fot(X_369)]]) ).
cnf(refute_0_4128,plain,
( join(meet(X_370,X_369),meet(X_369,complement(X_370))) != join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))
| X_369 = join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),meet(X_369,complement(X_370))),X_369) )],[refute_0_4126,refute_0_4127]) ).
cnf(refute_0_4129,plain,
complement(composition(top,complement(meet(X_369,complement(X_370))))) = complement(composition(top,complement(meet(X_369,complement(X_370))))),
introduced(tautology,[refl,[$fot(complement(composition(top,complement(meet(X_369,complement(X_370))))))]]) ).
cnf(refute_0_4130,plain,
( complement(composition(top,complement(meet(X_369,complement(X_370))))) != complement(composition(top,complement(meet(X_369,complement(X_370)))))
| composition(top,complement(meet(X_369,complement(X_370)))) != composition(top,join(complement(X_369),X_370))
| complement(composition(top,complement(meet(X_369,complement(X_370))))) = complement(composition(top,join(complement(X_369),X_370))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,complement(meet(X_369,complement(X_370))))),complement(composition(top,complement(meet(X_369,complement(X_370)))))) ),[1,0],$fot(composition(top,join(complement(X_369),X_370)))]]) ).
cnf(refute_0_4131,plain,
( composition(top,complement(meet(X_369,complement(X_370)))) != composition(top,join(complement(X_369),X_370))
| complement(composition(top,complement(meet(X_369,complement(X_370))))) = complement(composition(top,join(complement(X_369),X_370))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(meet(X_369,complement(X_370))))),complement(composition(top,complement(meet(X_369,complement(X_370)))))) )],[refute_0_4129,refute_0_4130]) ).
cnf(refute_0_4132,plain,
complement(composition(top,complement(meet(X_369,complement(X_370))))) = complement(composition(top,join(complement(X_369),X_370))),
inference(resolve,[$cnf( $equal(composition(top,complement(meet(X_369,complement(X_370)))),composition(top,join(complement(X_369),X_370))) )],[refute_0_1470,refute_0_4131]) ).
cnf(refute_0_4133,plain,
join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))) = join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))),
introduced(tautology,[refl,[$fot(join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))))]]) ).
cnf(refute_0_4134,plain,
( complement(composition(top,complement(meet(X_369,complement(X_370))))) != complement(composition(top,join(complement(X_369),X_370)))
| join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))) != join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))
| join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))) = join(X_369,complement(composition(top,join(complement(X_369),X_370)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))),join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))) ),[1,1],$fot(complement(composition(top,join(complement(X_369),X_370))))]]) ).
cnf(refute_0_4135,plain,
( complement(composition(top,complement(meet(X_369,complement(X_370))))) != complement(composition(top,join(complement(X_369),X_370)))
| join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))) = join(X_369,complement(composition(top,join(complement(X_369),X_370)))) ),
inference(resolve,[$cnf( $equal(join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))),join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))) )],[refute_0_4133,refute_0_4134]) ).
cnf(refute_0_4136,plain,
join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))) = join(X_369,complement(composition(top,join(complement(X_369),X_370)))),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(meet(X_369,complement(X_370))))),complement(composition(top,join(complement(X_369),X_370)))) )],[refute_0_4132,refute_0_4135]) ).
cnf(refute_0_4137,plain,
( X_369 != join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))
| join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))) != join(X_369,complement(composition(top,join(complement(X_369),X_370))))
| X_369 = join(X_369,complement(composition(top,join(complement(X_369),X_370)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_369,join(X_369,complement(composition(top,join(complement(X_369),X_370))))) ),[0],$fot(join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))))]]) ).
cnf(refute_0_4138,plain,
( X_369 != join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))
| X_369 = join(X_369,complement(composition(top,join(complement(X_369),X_370)))) ),
inference(resolve,[$cnf( $equal(join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370)))))),join(X_369,complement(composition(top,join(complement(X_369),X_370))))) )],[refute_0_4136,refute_0_4137]) ).
cnf(refute_0_4139,plain,
( join(meet(X_370,X_369),meet(X_369,complement(X_370))) != join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))
| X_369 = join(X_369,complement(composition(top,join(complement(X_369),X_370)))) ),
inference(resolve,[$cnf( $equal(X_369,join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))) )],[refute_0_4128,refute_0_4138]) ).
cnf(refute_0_4140,plain,
X_369 = join(X_369,complement(composition(top,join(complement(X_369),X_370)))),
inference(resolve,[$cnf( $equal(join(meet(X_370,X_369),meet(X_369,complement(X_370))),join(X_369,complement(composition(top,complement(meet(X_369,complement(X_370))))))) )],[refute_0_4123,refute_0_4139]) ).
cnf(refute_0_4141,plain,
meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),X_370)))),
inference(subst,[],[refute_0_4140:[bind(X_369,$fot(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))]]) ).
cnf(refute_0_4142,plain,
top = join(X_360,join(join(X_34,X_36),complement(join(X_360,join(X_34,X_36))))),
inference(subst,[],[refute_0_1261:[bind(X_34,$fot(X_360)),bind(X_35,$fot(join(X_34,X_36)))]]) ).
cnf(refute_0_4143,plain,
join(X_34,join(X_360,X_36)) = join(X_360,join(X_34,X_36)),
inference(subst,[],[refute_0_399:[bind(X_35,$fot(X_360))]]) ).
cnf(refute_0_4144,plain,
( join(X_34,join(X_360,X_36)) != join(X_360,join(X_34,X_36))
| join(X_360,join(X_34,X_36)) = join(X_34,join(X_360,X_36)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_34,join(X_360,X_36)))),bind(Y,$fot(join(X_360,join(X_34,X_36))))]]) ).
cnf(refute_0_4145,plain,
join(X_360,join(X_34,X_36)) = join(X_34,join(X_360,X_36)),
inference(resolve,[$cnf( $equal(join(X_34,join(X_360,X_36)),join(X_360,join(X_34,X_36))) )],[refute_0_4143,refute_0_4144]) ).
cnf(refute_0_4146,plain,
( join(X_360,join(X_34,X_36)) != join(X_34,join(X_360,X_36))
| top != join(X_360,join(join(X_34,X_36),complement(join(X_360,join(X_34,X_36)))))
| top = join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_360,join(join(X_34,X_36),complement(join(X_360,join(X_34,X_36)))))) ),[1,1,1,0],$fot(join(X_34,join(X_360,X_36)))]]) ).
cnf(refute_0_4147,plain,
( top != join(X_360,join(join(X_34,X_36),complement(join(X_360,join(X_34,X_36)))))
| top = join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))) ),
inference(resolve,[$cnf( $equal(join(X_360,join(X_34,X_36)),join(X_34,join(X_360,X_36))) )],[refute_0_4145,refute_0_4146]) ).
cnf(refute_0_4148,plain,
top = join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))),
inference(resolve,[$cnf( $equal(top,join(X_360,join(join(X_34,X_36),complement(join(X_360,join(X_34,X_36)))))) )],[refute_0_4142,refute_0_4147]) ).
cnf(refute_0_4149,plain,
join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36)))) = join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36))))),
inference(subst,[],[refute_0_395:[bind(X0,$fot(X_34)),bind(X1,$fot(X_36)),bind(X2,$fot(complement(join(X_34,join(X_360,X_36)))))]]) ).
cnf(refute_0_4150,plain,
join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))) = join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))),
introduced(tautology,[refl,[$fot(join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))))]]) ).
cnf(refute_0_4151,plain,
( join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))) != join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36)))))
| join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36)))) != join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36)))))
| join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))) = join(X_360,join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))),join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36)))))) ),[1,1],$fot(join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36))))))]]) ).
cnf(refute_0_4152,plain,
( join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36)))) != join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36)))))
| join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))) = join(X_360,join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36)))))) ),
inference(resolve,[$cnf( $equal(join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))),join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36)))))) )],[refute_0_4150,refute_0_4151]) ).
cnf(refute_0_4153,plain,
join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))) = join(X_360,join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36)))))),
inference(resolve,[$cnf( $equal(join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36)))),join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36)))))) )],[refute_0_4149,refute_0_4152]) ).
cnf(refute_0_4154,plain,
( join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))) != join(X_360,join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36))))))
| top != join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36)))))
| top = join(X_360,join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36)))))) ),[1],$fot(join(X_360,join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36)))))))]]) ).
cnf(refute_0_4155,plain,
( top != join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36)))))
| top = join(X_360,join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36)))))) ),
inference(resolve,[$cnf( $equal(join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36))))),join(X_360,join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36))))))) )],[refute_0_4153,refute_0_4154]) ).
cnf(refute_0_4156,plain,
top = join(X_360,join(X_34,join(X_36,complement(join(X_34,join(X_360,X_36)))))),
inference(resolve,[$cnf( $equal(top,join(X_360,join(join(X_34,X_36),complement(join(X_34,join(X_360,X_36)))))) )],[refute_0_4148,refute_0_4155]) ).
cnf(refute_0_4157,plain,
top = join(X_425,join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))),
inference(subst,[],[refute_0_4156:[bind(X_34,$fot(complement(skolemFOFtoCNF_X0))),bind(X_36,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(X_360,$fot(X_425))]]) ).
cnf(refute_0_4158,plain,
join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)) = join(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),X2),
inference(subst,[],[refute_0_0:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_4159,plain,
meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) = complement(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_79:[bind(X1,$fot(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_4160,plain,
skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_4161,plain,
meet(composition(skolemFOFtoCNF_X0,one),composition(skolemFOFtoCNF_X0,complement(one))) = zero,
inference(subst,[],[refute_0_424:[bind(X1,$fot(one))]]) ).
cnf(refute_0_4162,plain,
composition(skolemFOFtoCNF_X0,one) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_100:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4163,plain,
( composition(skolemFOFtoCNF_X0,one) != skolemFOFtoCNF_X0
| meet(composition(skolemFOFtoCNF_X0,one),composition(skolemFOFtoCNF_X0,complement(one))) != zero
| meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,one),composition(skolemFOFtoCNF_X0,complement(one))),zero) ),[0,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4164,plain,
( meet(composition(skolemFOFtoCNF_X0,one),composition(skolemFOFtoCNF_X0,complement(one))) != zero
| meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = zero ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,one),skolemFOFtoCNF_X0) )],[refute_0_4162,refute_0_4163]) ).
cnf(refute_0_4165,plain,
meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = zero,
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,one),composition(skolemFOFtoCNF_X0,complement(one))),zero) )],[refute_0_4161,refute_0_4164]) ).
cnf(refute_0_4166,plain,
( meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) != zero
| skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))
| skolemFOFtoCNF_X0 = join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4167,plain,
( skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))
| skolemFOFtoCNF_X0 = join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),zero) )],[refute_0_4165,refute_0_4166]) ).
cnf(refute_0_4168,plain,
skolemFOFtoCNF_X0 = join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_4160,refute_0_4167]) ).
cnf(refute_0_4169,plain,
( skolemFOFtoCNF_X0 != join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))
| join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_4170,plain,
join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_4168,refute_0_4169]) ).
cnf(refute_0_4171,plain,
( join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))) != skolemFOFtoCNF_X0
| meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) != complement(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))))
| meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))),complement(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4172,plain,
( meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) != complement(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))))
| meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))),skolemFOFtoCNF_X0) )],[refute_0_4170,refute_0_4171]) ).
cnf(refute_0_4173,plain,
meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))),complement(join(zero,complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_4159,refute_0_4172]) ).
cnf(refute_0_4174,plain,
meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),
inference(subst,[],[refute_0_305:[bind(X_98,$fot(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_4175,plain,
( meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) != complement(skolemFOFtoCNF_X0)
| meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) != join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))
| join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))),complement(skolemFOFtoCNF_X0)) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_4176,plain,
( meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))),join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_4174,refute_0_4175]) ).
cnf(refute_0_4177,plain,
join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_4173,refute_0_4176]) ).
cnf(refute_0_4178,plain,
( join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)) != join(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),X2)
| join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)) = join(complement(skolemFOFtoCNF_X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)),join(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),X2)) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4179,plain,
( join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)) != join(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),X2)
| join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)) = join(complement(skolemFOFtoCNF_X0),X2) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),complement(skolemFOFtoCNF_X0)) )],[refute_0_4177,refute_0_4178]) ).
cnf(refute_0_4180,plain,
join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)) = join(complement(skolemFOFtoCNF_X0),X2),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),X2)),join(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(one))),X2)) )],[refute_0_4158,refute_0_4179]) ).
cnf(refute_0_4181,plain,
join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))) = join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_4180:[bind(X2,$fot(complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_4182,plain,
( join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))) != join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))
| top != join(X_425,join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))))
| top = join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_425,join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))))) ),[1,1],$fot(join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_4183,plain,
( top != join(X_425,join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))))
| top = join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))),join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_4181,refute_0_4182]) ).
cnf(refute_0_4184,plain,
top = join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))),
inference(resolve,[$cnf( $equal(top,join(X_425,join(complement(skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_4157,refute_0_4183]) ).
cnf(refute_0_4185,plain,
join(complement(skolemFOFtoCNF_X0),complement(join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_1613:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_4186,plain,
join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) = join(complement(skolemFOFtoCNF_X0),complement(join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_1061:[bind(X_332,$fot(complement(skolemFOFtoCNF_X0))),bind(X_333,$fot(join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_4187,plain,
( join(complement(skolemFOFtoCNF_X0),complement(join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))) != complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))
| join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) != join(complement(skolemFOFtoCNF_X0),complement(join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))
| join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),complement(join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))),bind(Z,$fot(complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_4188,plain,
( join(complement(skolemFOFtoCNF_X0),complement(join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))) != complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))
| join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))),join(complement(skolemFOFtoCNF_X0),complement(join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_4186,refute_0_4187]) ).
cnf(refute_0_4189,plain,
join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))),complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_4185,refute_0_4188]) ).
cnf(refute_0_4190,plain,
join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))) = join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))),
introduced(tautology,[refl,[$fot(join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_4191,plain,
( join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))) != join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))
| join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))
| join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))) = join(X_425,complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))),join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,1],$fot(complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_4192,plain,
( join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))
| join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))) = join(X_425,complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))),join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_4190,refute_0_4191]) ).
cnf(refute_0_4193,plain,
join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))) = join(X_425,complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))),complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_4189,refute_0_4192]) ).
cnf(refute_0_4194,plain,
( join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))) != join(X_425,complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))
| top != join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))
| top = join(X_425,complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))) ),[1],$fot(join(X_425,complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_4195,plain,
( top != join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))
| top = join(X_425,complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))),join(X_425,complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_4193,refute_0_4194]) ).
cnf(refute_0_4196,plain,
top = join(X_425,complement(meet(skolemFOFtoCNF_X0,join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(top,join(X_425,join(complement(skolemFOFtoCNF_X0),complement(join(complement(skolemFOFtoCNF_X0),join(X_425,composition(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_4184,refute_0_4195]) ).
cnf(refute_0_4197,plain,
top = join(complement(one),complement(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_4196:[bind(X_425,$fot(complement(one)))]]) ).
cnf(refute_0_4198,plain,
composition(join(skolemFOFtoCNF_X0,one),complement(one)) = join(complement(one),composition(skolemFOFtoCNF_X0,complement(one))),
inference(subst,[],[refute_0_165:[bind(X_58,$fot(skolemFOFtoCNF_X0)),bind(X_60,$fot(complement(one)))]]) ).
cnf(refute_0_4199,plain,
( composition(join(skolemFOFtoCNF_X0,one),complement(one)) != join(complement(one),composition(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) = composition(join(skolemFOFtoCNF_X0,one),complement(one)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0,one),complement(one)))),bind(Y,$fot(join(complement(one),composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_4200,plain,
join(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) = composition(join(skolemFOFtoCNF_X0,one),complement(one)),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,one),complement(one)),join(complement(one),composition(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_4198,refute_0_4199]) ).
cnf(refute_0_4201,plain,
( join(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) != composition(join(skolemFOFtoCNF_X0,one),complement(one))
| top != join(complement(one),complement(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,complement(one))))))
| top = join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),complement(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,complement(one))))))) ),[1,1,0,1],$fot(composition(join(skolemFOFtoCNF_X0,one),complement(one)))]]) ).
cnf(refute_0_4202,plain,
( top != join(complement(one),complement(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,complement(one))))))
| top = join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(skolemFOFtoCNF_X0,complement(one))),composition(join(skolemFOFtoCNF_X0,one),complement(one))) )],[refute_0_4200,refute_0_4201]) ).
cnf(refute_0_4203,plain,
top = join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))),
inference(resolve,[$cnf( $equal(top,join(complement(one),complement(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_4197,refute_0_4202]) ).
cnf(refute_0_4204,plain,
composition(join(skolemFOFtoCNF_X0,one),complement(one)) = composition(join(one,skolemFOFtoCNF_X0),complement(one)),
inference(subst,[],[refute_0_2307:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(complement(one)))]]) ).
cnf(refute_0_4205,plain,
meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))) = meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))]]) ).
cnf(refute_0_4206,plain,
( composition(join(skolemFOFtoCNF_X0,one),complement(one)) != composition(join(one,skolemFOFtoCNF_X0),complement(one))
| meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))) != meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))
| meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))) = meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))),meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))) ),[1,1],$fot(composition(join(one,skolemFOFtoCNF_X0),complement(one)))]]) ).
cnf(refute_0_4207,plain,
( composition(join(skolemFOFtoCNF_X0,one),complement(one)) != composition(join(one,skolemFOFtoCNF_X0),complement(one))
| meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))) = meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))),meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))) )],[refute_0_4205,refute_0_4206]) ).
cnf(refute_0_4208,plain,
meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))) = meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,one),complement(one)),composition(join(one,skolemFOFtoCNF_X0),complement(one))) )],[refute_0_4204,refute_0_4207]) ).
cnf(refute_0_4209,plain,
meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))) = meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))),
introduced(tautology,[refl,[$fot(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))))]]) ).
cnf(refute_0_4210,plain,
( meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))) != meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))
| meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))) != meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))
| meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))) = meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))),meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))]]) ).
cnf(refute_0_4211,plain,
( meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))) != meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))
| meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))) = meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))),meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) )],[refute_0_4209,refute_0_4210]) ).
cnf(refute_0_4212,plain,
meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))) = meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))),meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) )],[refute_0_4208,refute_0_4211]) ).
cnf(refute_0_4213,plain,
complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) = complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))),
introduced(tautology,[refl,[$fot(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))))]]) ).
cnf(refute_0_4214,plain,
( complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) != complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))))
| meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))) != meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))
| complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) = complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))),complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))))) ),[1,0],$fot(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))]]) ).
cnf(refute_0_4215,plain,
( meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))) != meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))
| complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) = complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))),complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))))) )],[refute_0_4213,refute_0_4214]) ).
cnf(refute_0_4216,plain,
complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) = complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(resolve,[$cnf( $equal(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))),meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) )],[refute_0_4212,refute_0_4215]) ).
cnf(refute_0_4217,plain,
join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) = complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))),
inference(subst,[],[refute_0_1613:[bind(X0,$fot(one)),bind(X1,$fot(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))))]]) ).
cnf(refute_0_4218,plain,
( complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) != complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) != complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))))
| join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) = complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))))),bind(Y,$fot(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))))),bind(Z,$fot(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))))]]) ).
cnf(refute_0_4219,plain,
( complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) != complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) = complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))),complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))))) )],[refute_0_4217,refute_0_4218]) ).
cnf(refute_0_4220,plain,
join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) = complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))),complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4216,refute_0_4219]) ).
cnf(refute_0_4221,plain,
( join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))) != complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| top != join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))))
| top = complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))))) ),[1],$fot(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))]]) ).
cnf(refute_0_4222,plain,
( top != join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))))
| top = complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))),complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4220,refute_0_4221]) ).
cnf(refute_0_4223,plain,
top = complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(resolve,[$cnf( $equal(top,join(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))))) )],[refute_0_4203,refute_0_4222]) ).
cnf(refute_0_4224,plain,
( top != complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))))]]) ).
cnf(refute_0_4225,plain,
complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4223,refute_0_4224]) ).
cnf(refute_0_4226,plain,
( complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) != top
| meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) != join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),X_370))))
| meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),X_370))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_4227,plain,
( meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) != join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),X_370))))
| meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),top) )],[refute_0_4225,refute_0_4226]) ).
cnf(refute_0_4228,plain,
meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370)))),
inference(resolve,[$cnf( $equal(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),X_370))))) )],[refute_0_4141,refute_0_4227]) ).
cnf(refute_0_4229,plain,
join(top,X_370) = top,
inference(subst,[],[refute_0_595:[bind(X_34,$fot(X_370))]]) ).
cnf(refute_0_4230,plain,
composition(top,join(top,X_370)) = composition(top,join(top,X_370)),
introduced(tautology,[refl,[$fot(composition(top,join(top,X_370)))]]) ).
cnf(refute_0_4231,plain,
( composition(top,join(top,X_370)) != composition(top,join(top,X_370))
| join(top,X_370) != top
| composition(top,join(top,X_370)) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,join(top,X_370)),composition(top,join(top,X_370))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4232,plain,
( join(top,X_370) != top
| composition(top,join(top,X_370)) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(top,join(top,X_370)),composition(top,join(top,X_370))) )],[refute_0_4230,refute_0_4231]) ).
cnf(refute_0_4233,plain,
composition(top,join(top,X_370)) = composition(top,top),
inference(resolve,[$cnf( $equal(join(top,X_370),top) )],[refute_0_4229,refute_0_4232]) ).
cnf(refute_0_4234,plain,
( composition(top,join(top,X_370)) != composition(top,top)
| composition(top,top) != top
| composition(top,join(top,X_370)) = top ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(top,join(top,X_370)))),bind(Y,$fot(composition(top,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4235,plain,
( composition(top,top) != top
| composition(top,join(top,X_370)) = top ),
inference(resolve,[$cnf( $equal(composition(top,join(top,X_370)),composition(top,top)) )],[refute_0_4233,refute_0_4234]) ).
cnf(refute_0_4236,plain,
composition(top,join(top,X_370)) = top,
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_3338,refute_0_4235]) ).
cnf(refute_0_4237,plain,
complement(composition(top,join(top,X_370))) = complement(composition(top,join(top,X_370))),
introduced(tautology,[refl,[$fot(complement(composition(top,join(top,X_370))))]]) ).
cnf(refute_0_4238,plain,
( complement(composition(top,join(top,X_370))) != complement(composition(top,join(top,X_370)))
| composition(top,join(top,X_370)) != top
| complement(composition(top,join(top,X_370))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,join(top,X_370))),complement(composition(top,join(top,X_370)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4239,plain,
( composition(top,join(top,X_370)) != top
| complement(composition(top,join(top,X_370))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(composition(top,join(top,X_370))),complement(composition(top,join(top,X_370)))) )],[refute_0_4237,refute_0_4238]) ).
cnf(refute_0_4240,plain,
complement(composition(top,join(top,X_370))) = complement(top),
inference(resolve,[$cnf( $equal(composition(top,join(top,X_370)),top) )],[refute_0_4236,refute_0_4239]) ).
cnf(refute_0_4241,plain,
( complement(composition(top,join(top,X_370))) != complement(top)
| complement(top) != zero
| complement(composition(top,join(top,X_370))) = zero ),
inference(subst,[],[refute_0_22:[bind(X,$fot(complement(composition(top,join(top,X_370))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4242,plain,
( complement(top) != zero
| complement(composition(top,join(top,X_370))) = zero ),
inference(resolve,[$cnf( $equal(complement(composition(top,join(top,X_370))),complement(top)) )],[refute_0_4240,refute_0_4241]) ).
cnf(refute_0_4243,plain,
complement(composition(top,join(top,X_370))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_76,refute_0_4242]) ).
cnf(refute_0_4244,plain,
join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)) = complement(meet(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),X_292)),
inference(subst,[],[refute_0_776:[bind(X_293,$fot(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))]]) ).
cnf(refute_0_4245,plain,
( complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) != top
| join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)) != complement(meet(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),X_292))
| join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)) = complement(meet(top,X_292)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)),complement(meet(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),X_292))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_4246,plain,
( join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)) != complement(meet(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),X_292))
| join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)) = complement(meet(top,X_292)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),top) )],[refute_0_4225,refute_0_4245]) ).
cnf(refute_0_4247,plain,
join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)) = complement(meet(top,X_292)),
inference(resolve,[$cnf( $equal(join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)),complement(meet(complement(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),X_292))) )],[refute_0_4244,refute_0_4246]) ).
cnf(refute_0_4248,plain,
meet(top,X_292) = X_292,
inference(subst,[],[refute_0_305:[bind(X_98,$fot(X_292))]]) ).
cnf(refute_0_4249,plain,
complement(meet(top,X_292)) = complement(meet(top,X_292)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_292)))]]) ).
cnf(refute_0_4250,plain,
( complement(meet(top,X_292)) != complement(meet(top,X_292))
| meet(top,X_292) != X_292
| complement(meet(top,X_292)) = complement(X_292) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_292)),complement(meet(top,X_292))) ),[1,0],$fot(X_292)]]) ).
cnf(refute_0_4251,plain,
( meet(top,X_292) != X_292
| complement(meet(top,X_292)) = complement(X_292) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_292)),complement(meet(top,X_292))) )],[refute_0_4249,refute_0_4250]) ).
cnf(refute_0_4252,plain,
complement(meet(top,X_292)) = complement(X_292),
inference(resolve,[$cnf( $equal(meet(top,X_292),X_292) )],[refute_0_4248,refute_0_4251]) ).
cnf(refute_0_4253,plain,
( complement(meet(top,X_292)) != complement(X_292)
| join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)) != complement(meet(top,X_292))
| join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)) = complement(X_292) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)),complement(meet(top,X_292))) ),[1],$fot(complement(X_292))]]) ).
cnf(refute_0_4254,plain,
( join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)) != complement(meet(top,X_292))
| join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)) = complement(X_292) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_292)),complement(X_292)) )],[refute_0_4252,refute_0_4253]) ).
cnf(refute_0_4255,plain,
join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)) = complement(X_292),
inference(resolve,[$cnf( $equal(join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(X_292)),complement(meet(top,X_292))) )],[refute_0_4247,refute_0_4254]) ).
cnf(refute_0_4256,plain,
join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370)))) = complement(composition(top,join(top,X_370))),
inference(subst,[],[refute_0_4255:[bind(X_292,$fot(composition(top,join(top,X_370))))]]) ).
cnf(refute_0_4257,plain,
( complement(composition(top,join(top,X_370))) != zero
| join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370)))) != complement(composition(top,join(top,X_370)))
| join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370)))) = zero ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370)))))),bind(Y,$fot(complement(composition(top,join(top,X_370))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4258,plain,
( complement(composition(top,join(top,X_370))) != zero
| join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370)))) = zero ),
inference(resolve,[$cnf( $equal(join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370)))),complement(composition(top,join(top,X_370)))) )],[refute_0_4256,refute_0_4257]) ).
cnf(refute_0_4259,plain,
join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370)))) = zero,
inference(resolve,[$cnf( $equal(complement(composition(top,join(top,X_370))),zero) )],[refute_0_4243,refute_0_4258]) ).
cnf(refute_0_4260,plain,
( join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370)))) != zero
| meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) != join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370))))
| meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370))))) ),[1],$fot(zero)]]) ).
cnf(refute_0_4261,plain,
( meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) != join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370))))
| meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = zero ),
inference(resolve,[$cnf( $equal(join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370)))),zero) )],[refute_0_4259,refute_0_4260]) ).
cnf(refute_0_4262,plain,
meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = zero,
inference(resolve,[$cnf( $equal(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(composition(top,join(top,X_370))))) )],[refute_0_4228,refute_0_4261]) ).
cnf(refute_0_4263,plain,
( meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) != zero
| one != join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one))
| one = join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4264,plain,
( one != join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one))
| one = join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)) ),
inference(resolve,[$cnf( $equal(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),zero) )],[refute_0_4262,refute_0_4263]) ).
cnf(refute_0_4265,plain,
one = join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one))) )],[refute_0_4109,refute_0_4264]) ).
cnf(refute_0_4266,plain,
meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one) = meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(subst,[],[refute_0_375:[bind(X_225,$fot(one)),bind(X_226,$fot(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))]]) ).
cnf(refute_0_4267,plain,
join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)) = meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)))]]) ).
cnf(refute_0_4268,plain,
( join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)) != meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)
| meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one) != meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)) = meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)))),bind(Y,$fot(meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one))),bind(Z,$fot(meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))))]]) ).
cnf(refute_0_4269,plain,
( meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one) != meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)) = meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)),meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)) )],[refute_0_4267,refute_0_4268]) ).
cnf(refute_0_4270,plain,
join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)) = meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one),meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4266,refute_0_4269]) ).
cnf(refute_0_4271,plain,
( join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)) != meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| one != join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one))
| one = meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one))) ),[1],$fot(meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))]]) ).
cnf(refute_0_4272,plain,
( one != join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one))
| one = meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one)),meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4270,refute_0_4271]) ).
cnf(refute_0_4273,plain,
one = meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(resolve,[$cnf( $equal(one,join(zero,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),one))) )],[refute_0_4265,refute_0_4272]) ).
cnf(refute_0_4274,plain,
( one != meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))))]]) ).
cnf(refute_0_4275,plain,
meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) = one,
inference(resolve,[$cnf( $equal(one,meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4273,refute_0_4274]) ).
cnf(refute_0_4276,plain,
( complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) != join(meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)))
| meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) != one
| complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),join(meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4277,plain,
( complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) != join(meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)))
| complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),one) )],[refute_0_4275,refute_0_4276]) ).
cnf(refute_0_4278,plain,
complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),join(meet(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)))) )],[refute_0_4108,refute_0_4277]) ).
cnf(refute_0_4279,plain,
join(one,complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) = join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(subst,[],[refute_0_1061:[bind(X_332,$fot(one)),bind(X_333,$fot(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))]]) ).
cnf(refute_0_4280,plain,
meet(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) = complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(subst,[],[refute_0_687:[bind(X1,$fot(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),bind(X_293,$fot(one))]]) ).
cnf(refute_0_4281,plain,
meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)) = meet(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(subst,[],[refute_0_375:[bind(X_225,$fot(complement(one))),bind(X_226,$fot(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))]]) ).
cnf(refute_0_4282,plain,
( meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)) != meet(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| meet(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) != complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)) = complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)))),bind(Y,$fot(meet(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))),bind(Z,$fot(complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))))]]) ).
cnf(refute_0_4283,plain,
( meet(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) != complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)) = complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4281,refute_0_4282]) ).
cnf(refute_0_4284,plain,
meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)) = complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4280,refute_0_4283]) ).
cnf(refute_0_4285,plain,
join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))) = join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))),
introduced(tautology,[refl,[$fot(join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))))]]) ).
cnf(refute_0_4286,plain,
( join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))) != join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)))
| meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)) != complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))) = join(one,complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))),join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)))) ),[1,1],$fot(complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))]]) ).
cnf(refute_0_4287,plain,
( meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)) != complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))) = join(one,complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))),join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)))) )],[refute_0_4285,refute_0_4286]) ).
cnf(refute_0_4288,plain,
join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))) = join(one,complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)),complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4284,refute_0_4287]) ).
cnf(refute_0_4289,plain,
( join(one,complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) != join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))) != join(one,complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))
| join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))) = join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))))),bind(Y,$fot(join(one,complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))))),bind(Z,$fot(join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))))]]) ).
cnf(refute_0_4290,plain,
( join(one,complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) != join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))) = join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))),join(one,complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))) )],[refute_0_4288,refute_0_4289]) ).
cnf(refute_0_4291,plain,
join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))) = join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4279,refute_0_4290]) ).
cnf(refute_0_4292,plain,
( complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) != join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)))
| join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))) != join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) ),[0],$fot(join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))))]]) ).
cnf(refute_0_4293,plain,
( complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) != join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)))
| complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one))),join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4291,refute_0_4292]) ).
cnf(refute_0_4294,plain,
complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) = join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),join(one,meet(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),complement(one)))) )],[refute_0_4278,refute_0_4293]) ).
cnf(refute_0_4295,plain,
( complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) != join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) = complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),bind(Y,$fot(join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))))]]) ).
cnf(refute_0_4296,plain,
join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) = complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))),join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4294,refute_0_4295]) ).
cnf(refute_0_4297,plain,
( join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) != complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))
| top != composition(top,join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))
| top = composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,composition(top,join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))) ),[1,1],$fot(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))]]) ).
cnf(refute_0_4298,plain,
( top != composition(top,join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))
| top = composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) )],[refute_0_4296,refute_0_4297]) ).
cnf(refute_0_4299,plain,
top = composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(resolve,[$cnf( $equal(top,composition(top,join(one,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))) )],[refute_0_4107,refute_0_4298]) ).
cnf(refute_0_4300,plain,
( top != composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))))]]) ).
cnf(refute_0_4301,plain,
composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) = top,
inference(resolve,[$cnf( $equal(top,composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4299,refute_0_4300]) ).
cnf(refute_0_4302,plain,
( composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505) != composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))
| composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) != top
| composition(converse(top),X_505) = composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505),composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_4303,plain,
( composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505) != composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))
| composition(converse(top),X_505) = composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),top) )],[refute_0_4301,refute_0_4302]) ).
cnf(refute_0_4304,plain,
composition(converse(top),X_505) = composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505),composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))) )],[refute_0_4083,refute_0_4303]) ).
cnf(refute_0_4305,plain,
composition(converse(top),X_505) = composition(converse(top),X_505),
introduced(tautology,[refl,[$fot(composition(converse(top),X_505))]]) ).
cnf(refute_0_4306,plain,
( composition(converse(top),X_505) != composition(converse(top),X_505)
| converse(top) != top
| composition(converse(top),X_505) = composition(top,X_505) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),X_505),composition(converse(top),X_505)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4307,plain,
( converse(top) != top
| composition(converse(top),X_505) = composition(top,X_505) ),
inference(resolve,[$cnf( $equal(composition(converse(top),X_505),composition(converse(top),X_505)) )],[refute_0_4305,refute_0_4306]) ).
cnf(refute_0_4308,plain,
composition(converse(top),X_505) = composition(top,X_505),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_893,refute_0_4307]) ).
cnf(refute_0_4309,plain,
( composition(converse(top),X_505) != composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))
| composition(converse(top),X_505) != composition(top,X_505)
| composition(top,X_505) = composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),X_505),composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))) ),[0],$fot(composition(top,X_505))]]) ).
cnf(refute_0_4310,plain,
( composition(converse(top),X_505) != composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))
| composition(top,X_505) = composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),X_505),composition(top,X_505)) )],[refute_0_4308,refute_0_4309]) ).
cnf(refute_0_4311,plain,
converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) = complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),
inference(subst,[],[refute_0_987:[bind(X_231,$fot(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))]]) ).
cnf(refute_0_4312,plain,
composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) = composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)),
introduced(tautology,[refl,[$fot(composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)))]]) ).
cnf(refute_0_4313,plain,
( composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) != composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))
| converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) != complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)),composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))) ),[1,0],$fot(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))]]) ).
cnf(refute_0_4314,plain,
( converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))) != complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))
| composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)),composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))) )],[refute_0_4312,refute_0_4313]) ).
cnf(refute_0_4315,plain,
composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)),
inference(resolve,[$cnf( $equal(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))) )],[refute_0_4311,refute_0_4314]) ).
cnf(refute_0_4316,plain,
composition(converse(X_92),composition(top,X2)) = composition(composition(converse(X_92),top),X2),
inference(subst,[],[refute_0_1205:[bind(X0,$fot(converse(X_92))),bind(X1,$fot(top))]]) ).
cnf(refute_0_4317,plain,
( composition(converse(X_92),composition(top,X2)) != composition(composition(converse(X_92),top),X2)
| composition(converse(X_92),top) != converse(composition(top,X_92))
| composition(converse(X_92),composition(top,X2)) = composition(converse(composition(top,X_92)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_92),composition(top,X2)),composition(composition(converse(X_92),top),X2)) ),[1,0],$fot(converse(composition(top,X_92)))]]) ).
cnf(refute_0_4318,plain,
( composition(converse(X_92),composition(top,X2)) != composition(composition(converse(X_92),top),X2)
| composition(converse(X_92),composition(top,X2)) = composition(converse(composition(top,X_92)),X2) ),
inference(resolve,[$cnf( $equal(composition(converse(X_92),top),converse(composition(top,X_92))) )],[refute_0_3200,refute_0_4317]) ).
cnf(refute_0_4319,plain,
composition(converse(X_92),composition(top,X2)) = composition(converse(composition(top,X_92)),X2),
inference(resolve,[$cnf( $equal(composition(converse(X_92),composition(top,X2)),composition(composition(converse(X_92),top),X2)) )],[refute_0_4316,refute_0_4318]) ).
cnf(refute_0_4320,plain,
( composition(converse(X_92),composition(top,X2)) != composition(converse(composition(top,X_92)),X2)
| composition(converse(composition(top,X_92)),X2) = composition(converse(X_92),composition(top,X2)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(converse(X_92),composition(top,X2)))),bind(Y,$fot(composition(converse(composition(top,X_92)),X2)))]]) ).
cnf(refute_0_4321,plain,
composition(converse(composition(top,X_92)),X2) = composition(converse(X_92),composition(top,X2)),
inference(resolve,[$cnf( $equal(composition(converse(X_92),composition(top,X2)),composition(converse(composition(top,X_92)),X2)) )],[refute_0_4319,refute_0_4320]) ).
cnf(refute_0_4322,plain,
composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505) = composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)),
inference(subst,[],[refute_0_4321:[bind(X2,$fot(X_505)),bind(X_92,$fot(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))))]]) ).
cnf(refute_0_4323,plain,
( composition(converse(composition(X_13,X_12)),X_14) != composition(converse(X_12),composition(converse(X_13),X_14))
| composition(converse(X_12),composition(converse(X_13),X_14)) = composition(converse(composition(X_13,X_12)),X_14) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(converse(composition(X_13,X_12)),X_14))),bind(Y,$fot(composition(converse(X_12),composition(converse(X_13),X_14))))]]) ).
cnf(refute_0_4324,plain,
composition(converse(X_12),composition(converse(X_13),X_14)) = composition(converse(composition(X_13,X_12)),X_14),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_13,X_12)),X_14),composition(converse(X_12),composition(converse(X_13),X_14))) )],[refute_0_4082,refute_0_4323]) ).
cnf(refute_0_4325,plain,
composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) = composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505),
inference(subst,[],[refute_0_4324:[bind(X_12,$fot(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),bind(X_13,$fot(top)),bind(X_14,$fot(X_505))]]) ).
cnf(refute_0_4326,plain,
( composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) != composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505)
| composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505) != composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))
| composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) = composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)))),bind(Y,$fot(composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505))),bind(Z,$fot(composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))))]]) ).
cnf(refute_0_4327,plain,
( composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505) != composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))
| composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) = composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)),composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505)) )],[refute_0_4325,refute_0_4326]) ).
cnf(refute_0_4328,plain,
composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) = composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))),X_505),composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))) )],[refute_0_4322,refute_0_4327]) ).
cnf(refute_0_4329,plain,
( composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) != composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))
| composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) != composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))
| composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)))),bind(Y,$fot(composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)))),bind(Z,$fot(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))))]]) ).
cnf(refute_0_4330,plain,
( composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) != composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))
| composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)),composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))) )],[refute_0_4328,refute_0_4329]) ).
cnf(refute_0_4331,plain,
composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)),
inference(resolve,[$cnf( $equal(composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)),composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))) )],[refute_0_4315,refute_0_4330]) ).
cnf(refute_0_4332,plain,
( composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)) != composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))
| composition(top,X_505) != composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))
| composition(top,X_505) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,X_505),composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))) ),[1],$fot(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)))]]) ).
cnf(refute_0_4333,plain,
( composition(top,X_505) != composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))
| composition(top,X_505) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505)),composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))) )],[refute_0_4331,refute_0_4332]) ).
cnf(refute_0_4334,plain,
( composition(converse(top),X_505) != composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))
| composition(top,X_505) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) ),
inference(resolve,[$cnf( $equal(composition(top,X_505),composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))) )],[refute_0_4310,refute_0_4333]) ).
cnf(refute_0_4335,plain,
composition(top,X_505) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)),
inference(resolve,[$cnf( $equal(composition(converse(top),X_505),composition(converse(complement(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(converse(top),X_505))) )],[refute_0_4304,refute_0_4334]) ).
cnf(refute_0_4336,plain,
( composition(top,X_505) != composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))
| composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) = composition(top,X_505) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(top,X_505))),bind(Y,$fot(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))))]]) ).
cnf(refute_0_4337,plain,
composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) = composition(top,X_505),
inference(resolve,[$cnf( $equal(composition(top,X_505),composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))) )],[refute_0_4335,refute_0_4336]) ).
cnf(refute_0_4338,plain,
( composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)) != composition(top,X_505)
| composition(converse(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) != zero
| composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))),zero) ),[0,0,0],$fot(composition(top,X_505))]]) ).
cnf(refute_0_4339,plain,
( composition(converse(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) != zero
| composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505)),composition(top,X_505)) )],[refute_0_4337,refute_0_4338]) ).
cnf(refute_0_4340,plain,
composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,X_505))),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))),zero) )],[refute_0_4065,refute_0_4339]) ).
cnf(refute_0_4341,plain,
composition(top,complement(composition(top,composition(X_505,top)))) = complement(composition(top,composition(X_505,top))),
inference(subst,[],[refute_0_3745:[bind(X_438,$fot(composition(X_505,top)))]]) ).
cnf(refute_0_4342,plain,
composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,composition(X_505,top))) = composition(top,composition(X_505,top)),
inference(subst,[],[refute_0_4337:[bind(X_505,$fot(composition(X_505,top)))]]) ).
cnf(refute_0_4343,plain,
composition(composition(top,X_505),top) = composition(top,composition(X_505,top)),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(top)),bind(X1,$fot(X_505)),bind(X2,$fot(top))]]) ).
cnf(refute_0_4344,plain,
composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)),
introduced(tautology,[refl,[$fot(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))]]) ).
cnf(refute_0_4345,plain,
( composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)) != composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))
| composition(composition(top,X_505),top) != composition(top,composition(X_505,top))
| composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,composition(X_505,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)),composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))) ),[1,1],$fot(composition(top,composition(X_505,top)))]]) ).
cnf(refute_0_4346,plain,
( composition(composition(top,X_505),top) != composition(top,composition(X_505,top))
| composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,composition(X_505,top))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)),composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))) )],[refute_0_4344,refute_0_4345]) ).
cnf(refute_0_4347,plain,
composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)) = composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,composition(X_505,top))),
inference(resolve,[$cnf( $equal(composition(composition(top,X_505),top),composition(top,composition(X_505,top))) )],[refute_0_4343,refute_0_4346]) ).
cnf(refute_0_4348,plain,
( composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)) != composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,composition(X_505,top)))
| composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,composition(X_505,top))) != composition(top,composition(X_505,top))
| composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)) = composition(top,composition(X_505,top)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))),bind(Y,$fot(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,composition(X_505,top))))),bind(Z,$fot(composition(top,composition(X_505,top))))]]) ).
cnf(refute_0_4349,plain,
( composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,composition(X_505,top))) != composition(top,composition(X_505,top))
| composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)) = composition(top,composition(X_505,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)),composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,composition(X_505,top)))) )],[refute_0_4347,refute_0_4348]) ).
cnf(refute_0_4350,plain,
composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)) = composition(top,composition(X_505,top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(top,composition(X_505,top))),composition(top,composition(X_505,top))) )],[refute_0_4342,refute_0_4349]) ).
cnf(refute_0_4351,plain,
complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))) = complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))),
introduced(tautology,[refl,[$fot(complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))]]) ).
cnf(refute_0_4352,plain,
( complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))) != complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))
| composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)) != composition(top,composition(X_505,top))
| complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))) = complement(composition(top,composition(X_505,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) ),[1,0],$fot(composition(top,composition(X_505,top)))]]) ).
cnf(refute_0_4353,plain,
( composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)) != composition(top,composition(X_505,top))
| complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))) = complement(composition(top,composition(X_505,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) )],[refute_0_4351,refute_0_4352]) ).
cnf(refute_0_4354,plain,
complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))) = complement(composition(top,composition(X_505,top))),
inference(resolve,[$cnf( $equal(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)),composition(top,composition(X_505,top))) )],[refute_0_4350,refute_0_4353]) ).
cnf(refute_0_4355,plain,
composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))),
introduced(tautology,[refl,[$fot(composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))))]]) ).
cnf(refute_0_4356,plain,
( complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))) != complement(composition(top,composition(X_505,top)))
| composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) != composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))
| composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = composition(top,complement(composition(top,composition(X_505,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))) ),[1,1],$fot(complement(composition(top,composition(X_505,top))))]]) ).
cnf(refute_0_4357,plain,
( complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))) != complement(composition(top,composition(X_505,top)))
| composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = composition(top,complement(composition(top,composition(X_505,top)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))) )],[refute_0_4355,refute_0_4356]) ).
cnf(refute_0_4358,plain,
composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = composition(top,complement(composition(top,composition(X_505,top)))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))),complement(composition(top,composition(X_505,top)))) )],[refute_0_4354,refute_0_4357]) ).
cnf(refute_0_4359,plain,
( composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) != composition(top,complement(composition(top,composition(X_505,top))))
| composition(top,complement(composition(top,composition(X_505,top)))) != complement(composition(top,composition(X_505,top)))
| composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = complement(composition(top,composition(X_505,top))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))))),bind(Y,$fot(composition(top,complement(composition(top,composition(X_505,top)))))),bind(Z,$fot(complement(composition(top,composition(X_505,top)))))]]) ).
cnf(refute_0_4360,plain,
( composition(top,complement(composition(top,composition(X_505,top)))) != complement(composition(top,composition(X_505,top)))
| composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = complement(composition(top,composition(X_505,top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))),composition(top,complement(composition(top,composition(X_505,top))))) )],[refute_0_4358,refute_0_4359]) ).
cnf(refute_0_4361,plain,
composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = complement(composition(top,composition(X_505,top))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(X_505,top)))),complement(composition(top,composition(X_505,top)))) )],[refute_0_4341,refute_0_4360]) ).
cnf(refute_0_4362,plain,
composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))) = composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))),
introduced(tautology,[refl,[$fot(composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))))]]) ).
cnf(refute_0_4363,plain,
( composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))) != composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))))
| composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) != complement(composition(top,composition(X_505,top)))
| composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))) = composition(converse(X_505),complement(composition(top,composition(X_505,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))),composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))))) ),[1,1],$fot(complement(composition(top,composition(X_505,top))))]]) ).
cnf(refute_0_4364,plain,
( composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) != complement(composition(top,composition(X_505,top)))
| composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))) = composition(converse(X_505),complement(composition(top,composition(X_505,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))),composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))))) )],[refute_0_4362,refute_0_4363]) ).
cnf(refute_0_4365,plain,
composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))) = composition(converse(X_505),complement(composition(top,composition(X_505,top)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))),complement(composition(top,composition(X_505,top)))) )],[refute_0_4361,refute_0_4364]) ).
cnf(refute_0_4366,plain,
composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))),
inference(subst,[],[refute_0_4321:[bind(X2,$fot(complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))),bind(X_92,$fot(X_505))]]) ).
cnf(refute_0_4367,plain,
( composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))) != composition(converse(X_505),complement(composition(top,composition(X_505,top))))
| composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) != composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))))
| composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = composition(converse(X_505),complement(composition(top,composition(X_505,top)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))))),bind(Y,$fot(composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))))),bind(Z,$fot(composition(converse(X_505),complement(composition(top,composition(X_505,top))))))]]) ).
cnf(refute_0_4368,plain,
( composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))) != composition(converse(X_505),complement(composition(top,composition(X_505,top))))
| composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = composition(converse(X_505),complement(composition(top,composition(X_505,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))),composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))))) )],[refute_0_4366,refute_0_4367]) ).
cnf(refute_0_4369,plain,
composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) = composition(converse(X_505),complement(composition(top,composition(X_505,top)))),
inference(resolve,[$cnf( $equal(composition(converse(X_505),composition(top,complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top))))),composition(converse(X_505),complement(composition(top,composition(X_505,top))))) )],[refute_0_4365,refute_0_4368]) ).
cnf(refute_0_4370,plain,
( composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) != composition(converse(X_505),complement(composition(top,composition(X_505,top))))
| composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) != zero
| composition(converse(X_505),complement(composition(top,composition(X_505,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))),zero) ),[0],$fot(composition(converse(X_505),complement(composition(top,composition(X_505,top)))))]]) ).
cnf(refute_0_4371,plain,
( composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))) != zero
| composition(converse(X_505),complement(composition(top,composition(X_505,top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))),composition(converse(X_505),complement(composition(top,composition(X_505,top))))) )],[refute_0_4369,refute_0_4370]) ).
cnf(refute_0_4372,plain,
composition(converse(X_505),complement(composition(top,composition(X_505,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(top,X_505)),complement(composition(complement(converse(meet(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),composition(composition(top,X_505),top)))),zero) )],[refute_0_4340,refute_0_4371]) ).
cnf(refute_0_4373,plain,
( composition(converse(X_505),complement(composition(top,composition(X_505,top)))) != zero
| converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) != converse(join(composition(converse(X_505),complement(composition(top,composition(X_505,top)))),composition(converse(X_505),converse(X_706))))
| converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) = converse(join(zero,composition(converse(X_505),converse(X_706)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))),converse(join(composition(converse(X_505),complement(composition(top,composition(X_505,top)))),composition(converse(X_505),converse(X_706))))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_4374,plain,
( converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) != converse(join(composition(converse(X_505),complement(composition(top,composition(X_505,top)))),composition(converse(X_505),converse(X_706))))
| converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) = converse(join(zero,composition(converse(X_505),converse(X_706)))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_505),complement(composition(top,composition(X_505,top)))),zero) )],[refute_0_4372,refute_0_4373]) ).
cnf(refute_0_4375,plain,
converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) = converse(join(zero,composition(converse(X_505),converse(X_706)))),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))),converse(join(composition(converse(X_505),complement(composition(top,composition(X_505,top)))),composition(converse(X_505),converse(X_706))))) )],[refute_0_4064,refute_0_4374]) ).
cnf(refute_0_4376,plain,
converse(complement(composition(top,composition(X_505,top)))) = complement(converse(composition(top,composition(X_505,top)))),
inference(subst,[],[refute_0_987:[bind(X_231,$fot(composition(top,composition(X_505,top))))]]) ).
cnf(refute_0_4377,plain,
join(converse(complement(composition(top,composition(X_505,top)))),X_706) = join(converse(complement(composition(top,composition(X_505,top)))),X_706),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(top,composition(X_505,top)))),X_706))]]) ).
cnf(refute_0_4378,plain,
( converse(complement(composition(top,composition(X_505,top)))) != complement(converse(composition(top,composition(X_505,top))))
| join(converse(complement(composition(top,composition(X_505,top)))),X_706) != join(converse(complement(composition(top,composition(X_505,top)))),X_706)
| join(converse(complement(composition(top,composition(X_505,top)))),X_706) = join(complement(converse(composition(top,composition(X_505,top)))),X_706) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(top,composition(X_505,top)))),X_706),join(converse(complement(composition(top,composition(X_505,top)))),X_706)) ),[1,0],$fot(complement(converse(composition(top,composition(X_505,top)))))]]) ).
cnf(refute_0_4379,plain,
( converse(complement(composition(top,composition(X_505,top)))) != complement(converse(composition(top,composition(X_505,top))))
| join(converse(complement(composition(top,composition(X_505,top)))),X_706) = join(complement(converse(composition(top,composition(X_505,top)))),X_706) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,composition(X_505,top)))),X_706),join(converse(complement(composition(top,composition(X_505,top)))),X_706)) )],[refute_0_4377,refute_0_4378]) ).
cnf(refute_0_4380,plain,
join(converse(complement(composition(top,composition(X_505,top)))),X_706) = join(complement(converse(composition(top,composition(X_505,top)))),X_706),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,composition(X_505,top)))),complement(converse(composition(top,composition(X_505,top))))) )],[refute_0_4376,refute_0_4379]) ).
cnf(refute_0_4381,plain,
converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))) = join(converse(complement(composition(top,composition(X_505,top)))),X_706),
inference(subst,[],[refute_0_859:[bind(X0,$fot(X_706)),bind(X_25,$fot(complement(composition(top,composition(X_505,top)))))]]) ).
cnf(refute_0_4382,plain,
( converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))) != join(converse(complement(composition(top,composition(X_505,top)))),X_706)
| join(converse(complement(composition(top,composition(X_505,top)))),X_706) != join(complement(converse(composition(top,composition(X_505,top)))),X_706)
| converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))) = join(complement(converse(composition(top,composition(X_505,top)))),X_706) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))))),bind(Y,$fot(join(converse(complement(composition(top,composition(X_505,top)))),X_706))),bind(Z,$fot(join(complement(converse(composition(top,composition(X_505,top)))),X_706)))]]) ).
cnf(refute_0_4383,plain,
( join(converse(complement(composition(top,composition(X_505,top)))),X_706) != join(complement(converse(composition(top,composition(X_505,top)))),X_706)
| converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))) = join(complement(converse(composition(top,composition(X_505,top)))),X_706) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),join(converse(complement(composition(top,composition(X_505,top)))),X_706)) )],[refute_0_4381,refute_0_4382]) ).
cnf(refute_0_4384,plain,
converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))) = join(complement(converse(composition(top,composition(X_505,top)))),X_706),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,composition(X_505,top)))),X_706),join(complement(converse(composition(top,composition(X_505,top)))),X_706)) )],[refute_0_4380,refute_0_4383]) ).
cnf(refute_0_4385,plain,
composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505) = composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505),
introduced(tautology,[refl,[$fot(composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505))]]) ).
cnf(refute_0_4386,plain,
( composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505) != composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505)
| converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))) != join(complement(converse(composition(top,composition(X_505,top)))),X_706)
| composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505) = composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505),composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505)) ),[1,0],$fot(join(complement(converse(composition(top,composition(X_505,top)))),X_706))]]) ).
cnf(refute_0_4387,plain,
( converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))) != join(complement(converse(composition(top,composition(X_505,top)))),X_706)
| composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505) = composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505) ),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505),composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505)) )],[refute_0_4385,refute_0_4386]) ).
cnf(refute_0_4388,plain,
composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505) = composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),join(complement(converse(composition(top,composition(X_505,top)))),X_706)) )],[refute_0_4384,refute_0_4387]) ).
cnf(refute_0_4389,plain,
converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) = composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505),
inference(subst,[],[refute_0_98:[bind(X0,$fot(X_505)),bind(X_12,$fot(join(complement(composition(top,composition(X_505,top))),converse(X_706))))]]) ).
cnf(refute_0_4390,plain,
( composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505) != composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505)
| converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) != composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505)
| converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) = composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))))),bind(Y,$fot(composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505))),bind(Z,$fot(composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505)))]]) ).
cnf(refute_0_4391,plain,
( composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505) != composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505)
| converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) = composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))),composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505)) )],[refute_0_4389,refute_0_4390]) ).
cnf(refute_0_4392,plain,
converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) = composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(composition(top,composition(X_505,top))),converse(X_706))),X_505),composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505)) )],[refute_0_4388,refute_0_4391]) ).
cnf(refute_0_4393,plain,
( converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) != composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505)
| converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) != converse(join(zero,composition(converse(X_505),converse(X_706))))
| composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505) = converse(join(zero,composition(converse(X_505),converse(X_706)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))),converse(join(zero,composition(converse(X_505),converse(X_706))))) ),[0],$fot(composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505))]]) ).
cnf(refute_0_4394,plain,
( converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) != converse(join(zero,composition(converse(X_505),converse(X_706))))
| composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505) = converse(join(zero,composition(converse(X_505),converse(X_706)))) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))),composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505)) )],[refute_0_4392,refute_0_4393]) ).
cnf(refute_0_4395,plain,
converse(converse(composition(X_706,X_505))) = composition(X_706,X_505),
inference(subst,[],[refute_0_95:[bind(X0,$fot(composition(X_706,X_505)))]]) ).
cnf(refute_0_4396,plain,
composition(converse(X_505),converse(X_706)) = converse(composition(X_706,X_505)),
inference(subst,[],[refute_0_2672:[bind(X0,$fot(X_706)),bind(X1,$fot(X_505))]]) ).
cnf(refute_0_4397,plain,
join(zero,composition(converse(X_505),converse(X_706))) = composition(converse(X_505),converse(X_706)),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(composition(converse(X_505),converse(X_706))))]]) ).
cnf(refute_0_4398,plain,
( composition(converse(X_505),converse(X_706)) != converse(composition(X_706,X_505))
| join(zero,composition(converse(X_505),converse(X_706))) != composition(converse(X_505),converse(X_706))
| join(zero,composition(converse(X_505),converse(X_706))) = converse(composition(X_706,X_505)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(zero,composition(converse(X_505),converse(X_706))))),bind(Y,$fot(composition(converse(X_505),converse(X_706)))),bind(Z,$fot(converse(composition(X_706,X_505))))]]) ).
cnf(refute_0_4399,plain,
( composition(converse(X_505),converse(X_706)) != converse(composition(X_706,X_505))
| join(zero,composition(converse(X_505),converse(X_706))) = converse(composition(X_706,X_505)) ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_505),converse(X_706))),composition(converse(X_505),converse(X_706))) )],[refute_0_4397,refute_0_4398]) ).
cnf(refute_0_4400,plain,
join(zero,composition(converse(X_505),converse(X_706))) = converse(composition(X_706,X_505)),
inference(resolve,[$cnf( $equal(composition(converse(X_505),converse(X_706)),converse(composition(X_706,X_505))) )],[refute_0_4396,refute_0_4399]) ).
cnf(refute_0_4401,plain,
converse(join(zero,composition(converse(X_505),converse(X_706)))) = converse(join(zero,composition(converse(X_505),converse(X_706)))),
introduced(tautology,[refl,[$fot(converse(join(zero,composition(converse(X_505),converse(X_706)))))]]) ).
cnf(refute_0_4402,plain,
( converse(join(zero,composition(converse(X_505),converse(X_706)))) != converse(join(zero,composition(converse(X_505),converse(X_706))))
| join(zero,composition(converse(X_505),converse(X_706))) != converse(composition(X_706,X_505))
| converse(join(zero,composition(converse(X_505),converse(X_706)))) = converse(converse(composition(X_706,X_505))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,composition(converse(X_505),converse(X_706)))),converse(join(zero,composition(converse(X_505),converse(X_706))))) ),[1,0],$fot(converse(composition(X_706,X_505)))]]) ).
cnf(refute_0_4403,plain,
( join(zero,composition(converse(X_505),converse(X_706))) != converse(composition(X_706,X_505))
| converse(join(zero,composition(converse(X_505),converse(X_706)))) = converse(converse(composition(X_706,X_505))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,composition(converse(X_505),converse(X_706)))),converse(join(zero,composition(converse(X_505),converse(X_706))))) )],[refute_0_4401,refute_0_4402]) ).
cnf(refute_0_4404,plain,
converse(join(zero,composition(converse(X_505),converse(X_706)))) = converse(converse(composition(X_706,X_505))),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_505),converse(X_706))),converse(composition(X_706,X_505))) )],[refute_0_4400,refute_0_4403]) ).
cnf(refute_0_4405,plain,
( converse(converse(composition(X_706,X_505))) != composition(X_706,X_505)
| converse(join(zero,composition(converse(X_505),converse(X_706)))) != converse(converse(composition(X_706,X_505)))
| converse(join(zero,composition(converse(X_505),converse(X_706)))) = composition(X_706,X_505) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(zero,composition(converse(X_505),converse(X_706)))))),bind(Y,$fot(converse(converse(composition(X_706,X_505))))),bind(Z,$fot(composition(X_706,X_505)))]]) ).
cnf(refute_0_4406,plain,
( converse(converse(composition(X_706,X_505))) != composition(X_706,X_505)
| converse(join(zero,composition(converse(X_505),converse(X_706)))) = composition(X_706,X_505) ),
inference(resolve,[$cnf( $equal(converse(join(zero,composition(converse(X_505),converse(X_706)))),converse(converse(composition(X_706,X_505)))) )],[refute_0_4404,refute_0_4405]) ).
cnf(refute_0_4407,plain,
converse(join(zero,composition(converse(X_505),converse(X_706)))) = composition(X_706,X_505),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_706,X_505))),composition(X_706,X_505)) )],[refute_0_4395,refute_0_4406]) ).
cnf(refute_0_4408,plain,
( composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505) != converse(join(zero,composition(converse(X_505),converse(X_706))))
| converse(join(zero,composition(converse(X_505),converse(X_706)))) != composition(X_706,X_505)
| composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505) = composition(X_706,X_505) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505),composition(X_706,X_505)) ),[0],$fot(converse(join(zero,composition(converse(X_505),converse(X_706)))))]]) ).
cnf(refute_0_4409,plain,
( composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505) != converse(join(zero,composition(converse(X_505),converse(X_706))))
| composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505) = composition(X_706,X_505) ),
inference(resolve,[$cnf( $equal(converse(join(zero,composition(converse(X_505),converse(X_706)))),composition(X_706,X_505)) )],[refute_0_4407,refute_0_4408]) ).
cnf(refute_0_4410,plain,
( converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))) != converse(join(zero,composition(converse(X_505),converse(X_706))))
| composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505) = composition(X_706,X_505) ),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505),converse(join(zero,composition(converse(X_505),converse(X_706))))) )],[refute_0_4394,refute_0_4409]) ).
cnf(refute_0_4411,plain,
composition(join(complement(converse(composition(top,composition(X_505,top)))),X_706),X_505) = composition(X_706,X_505),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_505),join(complement(composition(top,composition(X_505,top))),converse(X_706)))),converse(join(zero,composition(converse(X_505),converse(X_706))))) )],[refute_0_4375,refute_0_4410]) ).
cnf(refute_0_4412,plain,
composition(join(complement(converse(composition(top,composition(X_1007,top)))),join(one,X0)),X_1007) = composition(join(one,X0),X_1007),
inference(subst,[],[refute_0_4411:[bind(X_505,$fot(X_1007)),bind(X_706,$fot(join(one,X0)))]]) ).
cnf(refute_0_4413,plain,
converse(join(join(X_34,X_35),one)) = join(one,converse(join(X_34,X_35))),
inference(subst,[],[refute_0_139:[bind(X_25,$fot(join(X_34,X_35)))]]) ).
cnf(refute_0_4414,plain,
join(X_34,join(X_35,one)) = join(join(X_34,X_35),one),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_34)),bind(X1,$fot(X_35)),bind(X2,$fot(one))]]) ).
cnf(refute_0_4415,plain,
( join(X_34,join(X_35,one)) != join(join(X_34,X_35),one)
| join(join(X_34,X_35),one) = join(X_34,join(X_35,one)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_34,join(X_35,one)))),bind(Y,$fot(join(join(X_34,X_35),one)))]]) ).
cnf(refute_0_4416,plain,
join(join(X_34,X_35),one) = join(X_34,join(X_35,one)),
inference(resolve,[$cnf( $equal(join(X_34,join(X_35,one)),join(join(X_34,X_35),one)) )],[refute_0_4414,refute_0_4415]) ).
cnf(refute_0_4417,plain,
( converse(join(join(X_34,X_35),one)) != join(one,converse(join(X_34,X_35)))
| join(join(X_34,X_35),one) != join(X_34,join(X_35,one))
| converse(join(X_34,join(X_35,one))) = join(one,converse(join(X_34,X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_34,X_35),one)),join(one,converse(join(X_34,X_35)))) ),[0,0],$fot(join(X_34,join(X_35,one)))]]) ).
cnf(refute_0_4418,plain,
( converse(join(join(X_34,X_35),one)) != join(one,converse(join(X_34,X_35)))
| converse(join(X_34,join(X_35,one))) = join(one,converse(join(X_34,X_35))) ),
inference(resolve,[$cnf( $equal(join(join(X_34,X_35),one),join(X_34,join(X_35,one))) )],[refute_0_4416,refute_0_4417]) ).
cnf(refute_0_4419,plain,
converse(join(X_34,join(X_35,one))) = join(one,converse(join(X_34,X_35))),
inference(resolve,[$cnf( $equal(converse(join(join(X_34,X_35),one)),join(one,converse(join(X_34,X_35)))) )],[refute_0_4413,refute_0_4418]) ).
cnf(refute_0_4420,plain,
converse(join(join(X_34,X_35),one)) = converse(join(one,join(X_34,X_35))),
inference(subst,[],[refute_0_3189:[bind(X_29,$fot(join(X_34,X_35)))]]) ).
cnf(refute_0_4421,plain,
join(one,converse(join(X_34,X_35))) = converse(join(join(X_34,X_35),one)),
inference(subst,[],[refute_0_145:[bind(X_25,$fot(join(X_34,X_35)))]]) ).
cnf(refute_0_4422,plain,
( converse(join(join(X_34,X_35),one)) != converse(join(one,join(X_34,X_35)))
| join(one,converse(join(X_34,X_35))) != converse(join(join(X_34,X_35),one))
| join(one,converse(join(X_34,X_35))) = converse(join(one,join(X_34,X_35))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(one,converse(join(X_34,X_35))))),bind(Y,$fot(converse(join(join(X_34,X_35),one)))),bind(Z,$fot(converse(join(one,join(X_34,X_35)))))]]) ).
cnf(refute_0_4423,plain,
( converse(join(join(X_34,X_35),one)) != converse(join(one,join(X_34,X_35)))
| join(one,converse(join(X_34,X_35))) = converse(join(one,join(X_34,X_35))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_34,X_35))),converse(join(join(X_34,X_35),one))) )],[refute_0_4421,refute_0_4422]) ).
cnf(refute_0_4424,plain,
join(one,converse(join(X_34,X_35))) = converse(join(one,join(X_34,X_35))),
inference(resolve,[$cnf( $equal(converse(join(join(X_34,X_35),one)),converse(join(one,join(X_34,X_35)))) )],[refute_0_4420,refute_0_4423]) ).
cnf(refute_0_4425,plain,
( converse(join(X_34,join(X_35,one))) != join(one,converse(join(X_34,X_35)))
| join(one,converse(join(X_34,X_35))) != converse(join(one,join(X_34,X_35)))
| converse(join(X_34,join(X_35,one))) = converse(join(one,join(X_34,X_35))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_34,join(X_35,one))),converse(join(one,join(X_34,X_35)))) ),[0],$fot(join(one,converse(join(X_34,X_35))))]]) ).
cnf(refute_0_4426,plain,
( converse(join(X_34,join(X_35,one))) != join(one,converse(join(X_34,X_35)))
| converse(join(X_34,join(X_35,one))) = converse(join(one,join(X_34,X_35))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_34,X_35))),converse(join(one,join(X_34,X_35)))) )],[refute_0_4424,refute_0_4425]) ).
cnf(refute_0_4427,plain,
converse(join(X_34,join(X_35,one))) = converse(join(one,join(X_34,X_35))),
inference(resolve,[$cnf( $equal(converse(join(X_34,join(X_35,one))),join(one,converse(join(X_34,X_35)))) )],[refute_0_4419,refute_0_4426]) ).
cnf(refute_0_4428,plain,
converse(join(converse(X0),join(converse(X1),one))) = converse(join(one,join(converse(X0),converse(X1)))),
inference(subst,[],[refute_0_4427:[bind(X_34,$fot(converse(X0))),bind(X_35,$fot(converse(X1)))]]) ).
cnf(refute_0_4429,plain,
( converse(join(converse(X0),join(converse(X1),one))) != converse(join(one,join(converse(X0),converse(X1))))
| join(converse(X0),converse(X1)) != converse(join(X0,X1))
| converse(join(converse(X0),join(converse(X1),one))) = converse(join(one,converse(join(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(converse(X1),one))),converse(join(one,join(converse(X0),converse(X1))))) ),[1,0,1],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_4430,plain,
( converse(join(converse(X0),join(converse(X1),one))) != converse(join(one,join(converse(X0),converse(X1))))
| converse(join(converse(X0),join(converse(X1),one))) = converse(join(one,converse(join(X0,X1)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),converse(join(X0,X1))) )],[refute_0_802,refute_0_4429]) ).
cnf(refute_0_4431,plain,
converse(join(converse(X0),join(converse(X1),one))) = converse(join(one,converse(join(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(converse(X1),one))),converse(join(one,join(converse(X0),converse(X1))))) )],[refute_0_4428,refute_0_4430]) ).
cnf(refute_0_4432,plain,
join(X1,converse(join(one,converse(X0)))) = join(X1,converse(join(one,converse(X0)))),
introduced(tautology,[refl,[$fot(join(X1,converse(join(one,converse(X0)))))]]) ).
cnf(refute_0_4433,plain,
( converse(join(one,converse(X0))) != join(one,X0)
| join(X1,converse(join(one,converse(X0)))) != join(X1,converse(join(one,converse(X0))))
| join(X1,converse(join(one,converse(X0)))) = join(X1,join(one,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,converse(join(one,converse(X0)))),join(X1,converse(join(one,converse(X0))))) ),[1,1],$fot(join(one,X0))]]) ).
cnf(refute_0_4434,plain,
( converse(join(one,converse(X0))) != join(one,X0)
| join(X1,converse(join(one,converse(X0)))) = join(X1,join(one,X0)) ),
inference(resolve,[$cnf( $equal(join(X1,converse(join(one,converse(X0)))),join(X1,converse(join(one,converse(X0))))) )],[refute_0_4432,refute_0_4433]) ).
cnf(refute_0_4435,plain,
join(X1,converse(join(one,converse(X0)))) = join(X1,join(one,X0)),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(one,X0)) )],[refute_0_3032,refute_0_4434]) ).
cnf(refute_0_4436,plain,
converse(join(one,join(converse(X1),converse(X0)))) = join(X1,converse(join(one,converse(X0)))),
inference(subst,[],[refute_0_2801:[bind(X0,$fot(X1)),bind(X_251,$fot(one)),bind(X_252,$fot(converse(X0)))]]) ).
cnf(refute_0_4437,plain,
converse(join(X_316,join(X_317,one))) = converse(join(one,join(X_316,X_317))),
inference(subst,[],[refute_0_4427:[bind(X_34,$fot(X_316)),bind(X_35,$fot(X_317))]]) ).
cnf(refute_0_4438,plain,
join(X_317,join(X_316,one)) = join(X_316,join(X_317,one)),
inference(subst,[],[refute_0_399:[bind(X_34,$fot(X_317)),bind(X_35,$fot(X_316)),bind(X_36,$fot(one))]]) ).
cnf(refute_0_4439,plain,
( join(X_317,join(X_316,one)) != join(X_316,join(X_317,one))
| join(X_316,join(X_317,one)) = join(X_317,join(X_316,one)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_317,join(X_316,one)))),bind(Y,$fot(join(X_316,join(X_317,one))))]]) ).
cnf(refute_0_4440,plain,
join(X_316,join(X_317,one)) = join(X_317,join(X_316,one)),
inference(resolve,[$cnf( $equal(join(X_317,join(X_316,one)),join(X_316,join(X_317,one))) )],[refute_0_4438,refute_0_4439]) ).
cnf(refute_0_4441,plain,
( converse(join(X_316,join(X_317,one))) != converse(join(one,join(X_316,X_317)))
| join(X_316,join(X_317,one)) != join(X_317,join(X_316,one))
| converse(join(X_317,join(X_316,one))) = converse(join(one,join(X_316,X_317))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_316,join(X_317,one))),converse(join(one,join(X_316,X_317)))) ),[0,0],$fot(join(X_317,join(X_316,one)))]]) ).
cnf(refute_0_4442,plain,
( converse(join(X_316,join(X_317,one))) != converse(join(one,join(X_316,X_317)))
| converse(join(X_317,join(X_316,one))) = converse(join(one,join(X_316,X_317))) ),
inference(resolve,[$cnf( $equal(join(X_316,join(X_317,one)),join(X_317,join(X_316,one))) )],[refute_0_4440,refute_0_4441]) ).
cnf(refute_0_4443,plain,
converse(join(X_317,join(X_316,one))) = converse(join(one,join(X_316,X_317))),
inference(resolve,[$cnf( $equal(converse(join(X_316,join(X_317,one))),converse(join(one,join(X_316,X_317)))) )],[refute_0_4437,refute_0_4442]) ).
cnf(refute_0_4444,plain,
converse(join(converse(X0),join(converse(X1),one))) = converse(join(one,join(converse(X1),converse(X0)))),
inference(subst,[],[refute_0_4443:[bind(X_316,$fot(converse(X1))),bind(X_317,$fot(converse(X0)))]]) ).
cnf(refute_0_4445,plain,
( converse(join(converse(X0),join(converse(X1),one))) != converse(join(one,join(converse(X1),converse(X0))))
| converse(join(one,join(converse(X1),converse(X0)))) != join(X1,converse(join(one,converse(X0))))
| converse(join(converse(X0),join(converse(X1),one))) = join(X1,converse(join(one,converse(X0)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(converse(X0),join(converse(X1),one))))),bind(Y,$fot(converse(join(one,join(converse(X1),converse(X0)))))),bind(Z,$fot(join(X1,converse(join(one,converse(X0))))))]]) ).
cnf(refute_0_4446,plain,
( converse(join(one,join(converse(X1),converse(X0)))) != join(X1,converse(join(one,converse(X0))))
| converse(join(converse(X0),join(converse(X1),one))) = join(X1,converse(join(one,converse(X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(converse(X1),one))),converse(join(one,join(converse(X1),converse(X0))))) )],[refute_0_4444,refute_0_4445]) ).
cnf(refute_0_4447,plain,
converse(join(converse(X0),join(converse(X1),one))) = join(X1,converse(join(one,converse(X0)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X1),converse(X0)))),join(X1,converse(join(one,converse(X0))))) )],[refute_0_4436,refute_0_4446]) ).
cnf(refute_0_4448,plain,
( converse(join(converse(X0),join(converse(X1),one))) != join(X1,converse(join(one,converse(X0))))
| join(X1,converse(join(one,converse(X0)))) != join(X1,join(one,X0))
| converse(join(converse(X0),join(converse(X1),one))) = join(X1,join(one,X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(converse(X0),join(converse(X1),one))))),bind(Y,$fot(join(X1,converse(join(one,converse(X0)))))),bind(Z,$fot(join(X1,join(one,X0))))]]) ).
cnf(refute_0_4449,plain,
( join(X1,converse(join(one,converse(X0)))) != join(X1,join(one,X0))
| converse(join(converse(X0),join(converse(X1),one))) = join(X1,join(one,X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(converse(X1),one))),join(X1,converse(join(one,converse(X0))))) )],[refute_0_4447,refute_0_4448]) ).
cnf(refute_0_4450,plain,
converse(join(converse(X0),join(converse(X1),one))) = join(X1,join(one,X0)),
inference(resolve,[$cnf( $equal(join(X1,converse(join(one,converse(X0)))),join(X1,join(one,X0))) )],[refute_0_4435,refute_0_4449]) ).
cnf(refute_0_4451,plain,
( converse(join(converse(X0),join(converse(X1),one))) != converse(join(one,converse(join(X0,X1))))
| converse(join(converse(X0),join(converse(X1),one))) != join(X1,join(one,X0))
| join(X1,join(one,X0)) = converse(join(one,converse(join(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(converse(X1),one))),converse(join(one,converse(join(X0,X1))))) ),[0],$fot(join(X1,join(one,X0)))]]) ).
cnf(refute_0_4452,plain,
( converse(join(converse(X0),join(converse(X1),one))) != converse(join(one,converse(join(X0,X1))))
| join(X1,join(one,X0)) = converse(join(one,converse(join(X0,X1)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(converse(X1),one))),join(X1,join(one,X0))) )],[refute_0_4450,refute_0_4451]) ).
cnf(refute_0_4453,plain,
join(converse(one),join(X0,X1)) = join(converse(one),join(X0,X1)),
introduced(tautology,[refl,[$fot(join(converse(one),join(X0,X1)))]]) ).
cnf(refute_0_4454,plain,
( converse(one) != one
| join(converse(one),join(X0,X1)) != join(converse(one),join(X0,X1))
| join(converse(one),join(X0,X1)) = join(one,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),join(X0,X1)),join(converse(one),join(X0,X1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4455,plain,
( converse(one) != one
| join(converse(one),join(X0,X1)) = join(one,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(converse(one),join(X0,X1)),join(converse(one),join(X0,X1))) )],[refute_0_4453,refute_0_4454]) ).
cnf(refute_0_4456,plain,
join(converse(one),join(X0,X1)) = join(one,join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_117,refute_0_4455]) ).
cnf(refute_0_4457,plain,
converse(join(one,converse(join(X0,X1)))) = join(converse(one),join(X0,X1)),
inference(subst,[],[refute_0_859:[bind(X0,$fot(join(X0,X1))),bind(X_25,$fot(one))]]) ).
cnf(refute_0_4458,plain,
( converse(join(one,converse(join(X0,X1)))) != join(converse(one),join(X0,X1))
| join(converse(one),join(X0,X1)) != join(one,join(X0,X1))
| converse(join(one,converse(join(X0,X1)))) = join(one,join(X0,X1)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(converse(join(one,converse(join(X0,X1)))))),bind(Y,$fot(join(converse(one),join(X0,X1)))),bind(Z,$fot(join(one,join(X0,X1))))]]) ).
cnf(refute_0_4459,plain,
( join(converse(one),join(X0,X1)) != join(one,join(X0,X1))
| converse(join(one,converse(join(X0,X1)))) = join(one,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(join(X0,X1)))),join(converse(one),join(X0,X1))) )],[refute_0_4457,refute_0_4458]) ).
cnf(refute_0_4460,plain,
converse(join(one,converse(join(X0,X1)))) = join(one,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(converse(one),join(X0,X1)),join(one,join(X0,X1))) )],[refute_0_4456,refute_0_4459]) ).
cnf(refute_0_4461,plain,
( converse(join(one,converse(join(X0,X1)))) != join(one,join(X0,X1))
| join(X1,join(one,X0)) != converse(join(one,converse(join(X0,X1))))
| join(X1,join(one,X0)) = join(one,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(one,X0)),converse(join(one,converse(join(X0,X1))))) ),[1],$fot(join(one,join(X0,X1)))]]) ).
cnf(refute_0_4462,plain,
( join(X1,join(one,X0)) != converse(join(one,converse(join(X0,X1))))
| join(X1,join(one,X0)) = join(one,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(join(X0,X1)))),join(one,join(X0,X1))) )],[refute_0_4460,refute_0_4461]) ).
cnf(refute_0_4463,plain,
( converse(join(converse(X0),join(converse(X1),one))) != converse(join(one,converse(join(X0,X1))))
| join(X1,join(one,X0)) = join(one,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X1,join(one,X0)),converse(join(one,converse(join(X0,X1))))) )],[refute_0_4452,refute_0_4462]) ).
cnf(refute_0_4464,plain,
join(X1,join(one,X0)) = join(one,join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(converse(X1),one))),converse(join(one,converse(join(X0,X1))))) )],[refute_0_4431,refute_0_4463]) ).
cnf(refute_0_4465,plain,
join(complement(converse(composition(top,composition(X_1007,top)))),join(one,X0)) = join(one,join(X0,complement(converse(composition(top,composition(X_1007,top)))))),
inference(subst,[],[refute_0_4464:[bind(X1,$fot(complement(converse(composition(top,composition(X_1007,top))))))]]) ).
cnf(refute_0_4466,plain,
( composition(join(complement(converse(composition(top,composition(X_1007,top)))),join(one,X0)),X_1007) != composition(join(one,X0),X_1007)
| join(complement(converse(composition(top,composition(X_1007,top)))),join(one,X0)) != join(one,join(X0,complement(converse(composition(top,composition(X_1007,top))))))
| composition(join(one,join(X0,complement(converse(composition(top,composition(X_1007,top)))))),X_1007) = composition(join(one,X0),X_1007) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(converse(composition(top,composition(X_1007,top)))),join(one,X0)),X_1007),composition(join(one,X0),X_1007)) ),[0,0],$fot(join(one,join(X0,complement(converse(composition(top,composition(X_1007,top)))))))]]) ).
cnf(refute_0_4467,plain,
( composition(join(complement(converse(composition(top,composition(X_1007,top)))),join(one,X0)),X_1007) != composition(join(one,X0),X_1007)
| composition(join(one,join(X0,complement(converse(composition(top,composition(X_1007,top)))))),X_1007) = composition(join(one,X0),X_1007) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,composition(X_1007,top)))),join(one,X0)),join(one,join(X0,complement(converse(composition(top,composition(X_1007,top))))))) )],[refute_0_4465,refute_0_4466]) ).
cnf(refute_0_4468,plain,
composition(join(one,join(X0,complement(converse(composition(top,composition(X_1007,top)))))),X_1007) = composition(join(one,X0),X_1007),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(composition(top,composition(X_1007,top)))),join(one,X0)),X_1007),composition(join(one,X0),X_1007)) )],[refute_0_4412,refute_0_4467]) ).
cnf(refute_0_4469,plain,
composition(join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530)),X_1007) = composition(join(X_529,X_530),X_1007),
inference(subst,[],[refute_0_4411:[bind(X_505,$fot(X_1007)),bind(X_706,$fot(join(X_529,X_530)))]]) ).
cnf(refute_0_4470,plain,
join(X_530,join(X_529,complement(converse(composition(top,composition(X_1007,top)))))) = join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530)),
inference(subst,[],[refute_0_2449:[bind(X1,$fot(complement(converse(composition(top,composition(X_1007,top))))))]]) ).
cnf(refute_0_4471,plain,
( join(X_530,join(X_529,complement(converse(composition(top,composition(X_1007,top)))))) != join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530))
| join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530)) = join(X_530,join(X_529,complement(converse(composition(top,composition(X_1007,top)))))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_530,join(X_529,complement(converse(composition(top,composition(X_1007,top)))))))),bind(Y,$fot(join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530))))]]) ).
cnf(refute_0_4472,plain,
join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530)) = join(X_530,join(X_529,complement(converse(composition(top,composition(X_1007,top)))))),
inference(resolve,[$cnf( $equal(join(X_530,join(X_529,complement(converse(composition(top,composition(X_1007,top)))))),join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530))) )],[refute_0_4470,refute_0_4471]) ).
cnf(refute_0_4473,plain,
( composition(join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530)),X_1007) != composition(join(X_529,X_530),X_1007)
| join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530)) != join(X_530,join(X_529,complement(converse(composition(top,composition(X_1007,top))))))
| composition(join(X_530,join(X_529,complement(converse(composition(top,composition(X_1007,top)))))),X_1007) = composition(join(X_529,X_530),X_1007) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530)),X_1007),composition(join(X_529,X_530),X_1007)) ),[0,0],$fot(join(X_530,join(X_529,complement(converse(composition(top,composition(X_1007,top)))))))]]) ).
cnf(refute_0_4474,plain,
( composition(join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530)),X_1007) != composition(join(X_529,X_530),X_1007)
| composition(join(X_530,join(X_529,complement(converse(composition(top,composition(X_1007,top)))))),X_1007) = composition(join(X_529,X_530),X_1007) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530)),join(X_530,join(X_529,complement(converse(composition(top,composition(X_1007,top))))))) )],[refute_0_4472,refute_0_4473]) ).
cnf(refute_0_4475,plain,
composition(join(X_530,join(X_529,complement(converse(composition(top,composition(X_1007,top)))))),X_1007) = composition(join(X_529,X_530),X_1007),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(composition(top,composition(X_1007,top)))),join(X_529,X_530)),X_1007),composition(join(X_529,X_530),X_1007)) )],[refute_0_4469,refute_0_4474]) ).
cnf(refute_0_4476,plain,
composition(join(one,join(X0,complement(converse(composition(top,composition(X_1007,top)))))),X_1007) = composition(join(X0,one),X_1007),
inference(subst,[],[refute_0_4475:[bind(X_529,$fot(X0)),bind(X_530,$fot(one))]]) ).
cnf(refute_0_4477,plain,
( composition(join(one,join(X0,complement(converse(composition(top,composition(X_1007,top)))))),X_1007) != composition(join(X0,one),X_1007)
| composition(join(one,join(X0,complement(converse(composition(top,composition(X_1007,top)))))),X_1007) != composition(join(one,X0),X_1007)
| composition(join(X0,one),X_1007) = composition(join(one,X0),X_1007) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(X0,complement(converse(composition(top,composition(X_1007,top)))))),X_1007),composition(join(one,X0),X_1007)) ),[0],$fot(composition(join(X0,one),X_1007))]]) ).
cnf(refute_0_4478,plain,
( composition(join(one,join(X0,complement(converse(composition(top,composition(X_1007,top)))))),X_1007) != composition(join(one,X0),X_1007)
| composition(join(X0,one),X_1007) = composition(join(one,X0),X_1007) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X0,complement(converse(composition(top,composition(X_1007,top)))))),X_1007),composition(join(X0,one),X_1007)) )],[refute_0_4476,refute_0_4477]) ).
cnf(refute_0_4479,plain,
composition(join(X0,one),X_1007) = composition(join(one,X0),X_1007),
inference(resolve,[$cnf( $equal(composition(join(one,join(X0,complement(converse(composition(top,composition(X_1007,top)))))),X_1007),composition(join(one,X0),X_1007)) )],[refute_0_4468,refute_0_4478]) ).
cnf(refute_0_4480,plain,
composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_4479:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X_1007,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_4481,plain,
( composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) != composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) = composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)))),bind(Y,$fot(composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))),bind(Z,$fot(composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_4482,plain,
( composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) = composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)),composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_4480,refute_0_4481]) ).
cnf(refute_0_4483,plain,
composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) = composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_4063,refute_0_4482]) ).
cnf(refute_0_4484,plain,
( composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) != composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) != join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0)))
| composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)),join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0)))) ),[0],$fot(composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_4485,plain,
( composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) != join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0)))
| composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)),composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_4483,refute_0_4484]) ).
cnf(refute_0_4486,plain,
composition(join(X0,converse(X_92)),top) = join(composition(X0,top),composition(converse(X_92),top)),
inference(subst,[],[refute_0_154:[bind(X1,$fot(converse(X_92))),bind(X2,$fot(top))]]) ).
cnf(refute_0_4487,plain,
( composition(converse(X_92),top) != converse(composition(top,X_92))
| composition(join(X0,converse(X_92)),top) != join(composition(X0,top),composition(converse(X_92),top))
| composition(join(X0,converse(X_92)),top) = join(composition(X0,top),converse(composition(top,X_92))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,converse(X_92)),top),join(composition(X0,top),composition(converse(X_92),top))) ),[1,1],$fot(converse(composition(top,X_92)))]]) ).
cnf(refute_0_4488,plain,
( composition(join(X0,converse(X_92)),top) != join(composition(X0,top),composition(converse(X_92),top))
| composition(join(X0,converse(X_92)),top) = join(composition(X0,top),converse(composition(top,X_92))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_92),top),converse(composition(top,X_92))) )],[refute_0_3200,refute_0_4487]) ).
cnf(refute_0_4489,plain,
composition(join(X0,converse(X_92)),top) = join(composition(X0,top),converse(composition(top,X_92))),
inference(resolve,[$cnf( $equal(composition(join(X0,converse(X_92)),top),join(composition(X0,top),composition(converse(X_92),top))) )],[refute_0_4486,refute_0_4488]) ).
cnf(refute_0_4490,plain,
( composition(join(X0,converse(X_92)),top) != join(composition(X0,top),converse(composition(top,X_92)))
| join(composition(X0,top),converse(composition(top,X_92))) = composition(join(X0,converse(X_92)),top) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(X0,converse(X_92)),top))),bind(Y,$fot(join(composition(X0,top),converse(composition(top,X_92)))))]]) ).
cnf(refute_0_4491,plain,
join(composition(X0,top),converse(composition(top,X_92))) = composition(join(X0,converse(X_92)),top),
inference(resolve,[$cnf( $equal(composition(join(X0,converse(X_92)),top),join(composition(X0,top),converse(composition(top,X_92)))) )],[refute_0_4489,refute_0_4490]) ).
cnf(refute_0_4492,plain,
join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0))) = composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_4491:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_92,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4493,plain,
( composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0))) != composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)
| composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)) ),[0],$fot(join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4494,plain,
( composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0)))
| composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0))),composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)) )],[refute_0_4492,refute_0_4493]) ).
cnf(refute_0_4495,plain,
( composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)) != join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0)))
| composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_4485,refute_0_4494]) ).
cnf(refute_0_4496,plain,
composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,top)),join(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_4054,refute_0_4495]) ).
cnf(refute_0_4497,plain,
( composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))) != zero
| composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)
| composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))),zero) ),[0,1,0],$fot(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_4498,plain,
( composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))) != zero
| composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)) )],[refute_0_4496,refute_0_4497]) ).
cnf(refute_0_4499,plain,
composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(converse(join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))),zero) )],[refute_0_2536,refute_0_4498]) ).
cnf(refute_0_4500,plain,
composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) = composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),
inference(subst,[],[refute_0_1207:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(join(one,skolemFOFtoCNF_X0))),bind(X2,$fot(complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4501,plain,
converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_98:[bind(X0,$fot(join(one,skolemFOFtoCNF_X0))),bind(X_12,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4502,plain,
composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) = composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))),
introduced(tautology,[refl,[$fot(composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4503,plain,
( composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) != composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))
| converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0))
| composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) = composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))),composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))) ),[1,0],$fot(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4504,plain,
( converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0))
| composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) = composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))),composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))) )],[refute_0_4502,refute_0_4503]) ).
cnf(refute_0_4505,plain,
composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) = composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0))) )],[refute_0_4501,refute_0_4504]) ).
cnf(refute_0_4506,plain,
( composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) != composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))
| composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) != composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))
| composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) = composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),bind(Y,$fot(composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),bind(Z,$fot(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_4507,plain,
( composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) != composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))
| composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) = composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))),composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))) )],[refute_0_4505,refute_0_4506]) ).
cnf(refute_0_4508,plain,
composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) = composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),
inference(resolve,[$cnf( $equal(composition(composition(converse(skolemFOFtoCNF_X0),join(one,skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))),composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))) )],[refute_0_4500,refute_0_4507]) ).
cnf(refute_0_4509,plain,
( composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) != composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))
| composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) != zero
| composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))),zero) ),[0],$fot(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_4510,plain,
( composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))) != zero
| composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))),composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))) )],[refute_0_4508,refute_0_4509]) ).
cnf(refute_0_4511,plain,
composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(converse(join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))),zero) )],[refute_0_4499,refute_0_4510]) ).
cnf(refute_0_4512,plain,
( composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))) != zero
| converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))) != composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))
| converse(zero) = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_4513,plain,
( converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))) != composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))
| converse(zero) = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),zero) )],[refute_0_4511,refute_0_4512]) ).
cnf(refute_0_4514,plain,
converse(zero) = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2524,refute_0_4513]) ).
cnf(refute_0_4515,plain,
( converse(zero) != composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))
| converse(zero) != zero
| zero = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_4516,plain,
( converse(zero) != composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))
| zero = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_2410,refute_0_4515]) ).
cnf(refute_0_4517,plain,
converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))) = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_98:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_12,$fot(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_4518,plain,
composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))) = converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),
inference(subst,[],[refute_0_2672:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_4519,plain,
( composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))) != converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))))
| converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))) != composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0)
| composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))) = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))))),bind(Z,$fot(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4520,plain,
( converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))) != composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0)
| composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))) = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))),converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))))) )],[refute_0_4518,refute_0_4519]) ).
cnf(refute_0_4521,plain,
composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))) = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0)) )],[refute_0_4517,refute_0_4520]) ).
cnf(refute_0_4522,plain,
( composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))) != composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0)
| zero != composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))
| zero = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))) ),[1],$fot(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4523,plain,
( zero != composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))
| zero = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0))),composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0)) )],[refute_0_4521,refute_0_4522]) ).
cnf(refute_0_4524,plain,
( converse(zero) != composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))
| zero = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4516,refute_0_4523]) ).
cnf(refute_0_4525,plain,
zero = composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4514,refute_0_4524]) ).
cnf(refute_0_4526,plain,
( zero != composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0)
| composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4527,plain,
composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0)) )],[refute_0_4525,refute_0_4526]) ).
cnf(refute_0_4528,plain,
( composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0) != zero
| join(composition(X_58,skolemFOFtoCNF_X0),join(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0),X2)) != join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)
| join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)) = join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_58,skolemFOFtoCNF_X0),join(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0),X2)),join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_4529,plain,
( join(composition(X_58,skolemFOFtoCNF_X0),join(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0),X2)) != join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)
| join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)) = join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0),zero) )],[refute_0_4527,refute_0_4528]) ).
cnf(refute_0_4530,plain,
join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)) = join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2),
inference(resolve,[$cnf( $equal(join(composition(X_58,skolemFOFtoCNF_X0),join(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0),X2)),join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)) )],[refute_0_2523,refute_0_4529]) ).
cnf(refute_0_4531,plain,
join(zero,join(X2,composition(X_58,skolemFOFtoCNF_X0))) = join(X2,composition(X_58,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(join(X2,composition(X_58,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4532,plain,
join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)) = join(zero,join(X2,composition(X_58,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4009:[bind(X0,$fot(composition(X_58,skolemFOFtoCNF_X0))),bind(X_34,$fot(zero)),bind(X_838,$fot(X2))]]) ).
cnf(refute_0_4533,plain,
( join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)) != join(zero,join(X2,composition(X_58,skolemFOFtoCNF_X0)))
| join(zero,join(X2,composition(X_58,skolemFOFtoCNF_X0))) != join(X2,composition(X_58,skolemFOFtoCNF_X0))
| join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)) = join(X2,composition(X_58,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)))),bind(Y,$fot(join(zero,join(X2,composition(X_58,skolemFOFtoCNF_X0))))),bind(Z,$fot(join(X2,composition(X_58,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4534,plain,
( join(zero,join(X2,composition(X_58,skolemFOFtoCNF_X0))) != join(X2,composition(X_58,skolemFOFtoCNF_X0))
| join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)) = join(X2,composition(X_58,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)),join(zero,join(X2,composition(X_58,skolemFOFtoCNF_X0)))) )],[refute_0_4532,refute_0_4533]) ).
cnf(refute_0_4535,plain,
join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)) = join(X2,composition(X_58,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(zero,join(X2,composition(X_58,skolemFOFtoCNF_X0))),join(X2,composition(X_58,skolemFOFtoCNF_X0))) )],[refute_0_4531,refute_0_4534]) ).
cnf(refute_0_4536,plain,
( join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)) != join(X2,composition(X_58,skolemFOFtoCNF_X0))
| join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)) != join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)
| join(X2,composition(X_58,skolemFOFtoCNF_X0)) = join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)),join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)) ),[0],$fot(join(X2,composition(X_58,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4537,plain,
( join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)) != join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)
| join(X2,composition(X_58,skolemFOFtoCNF_X0)) = join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)),join(X2,composition(X_58,skolemFOFtoCNF_X0))) )],[refute_0_4535,refute_0_4536]) ).
cnf(refute_0_4538,plain,
join(X2,composition(X_58,skolemFOFtoCNF_X0)) = join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2),
inference(resolve,[$cnf( $equal(join(composition(X_58,skolemFOFtoCNF_X0),join(zero,X2)),join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)) )],[refute_0_4530,refute_0_4537]) ).
cnf(refute_0_4539,plain,
composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) = join(composition(X0,skolemFOFtoCNF_X0),composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_154:[bind(X1,$fot(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))))),bind(X2,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4540,plain,
( composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0) != zero
| composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) != join(composition(X0,skolemFOFtoCNF_X0),composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0))
| composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) = join(composition(X0,skolemFOFtoCNF_X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),join(composition(X0,skolemFOFtoCNF_X0),composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_4541,plain,
( composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) != join(composition(X0,skolemFOFtoCNF_X0),composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0))
| composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) = join(composition(X0,skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0),zero) )],[refute_0_4527,refute_0_4540]) ).
cnf(refute_0_4542,plain,
composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) = join(composition(X0,skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),join(composition(X0,skolemFOFtoCNF_X0),composition(converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top)))),skolemFOFtoCNF_X0))) )],[refute_0_4539,refute_0_4541]) ).
cnf(refute_0_4543,plain,
join(zero,composition(X0,skolemFOFtoCNF_X0)) = composition(X0,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_286:[bind(X_98,$fot(composition(X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4544,plain,
( join(X2,composition(X_58,X_60)) != join(composition(X_58,X_60),X2)
| join(composition(X_58,X_60),X2) = join(X2,composition(X_58,X_60)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X2,composition(X_58,X_60)))),bind(Y,$fot(join(composition(X_58,X_60),X2)))]]) ).
cnf(refute_0_4545,plain,
join(composition(X_58,X_60),X2) = join(X2,composition(X_58,X_60)),
inference(resolve,[$cnf( $equal(join(X2,composition(X_58,X_60)),join(composition(X_58,X_60),X2)) )],[refute_0_4039,refute_0_4544]) ).
cnf(refute_0_4546,plain,
join(composition(X0,skolemFOFtoCNF_X0),zero) = join(zero,composition(X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_4545:[bind(X2,$fot(zero)),bind(X_58,$fot(X0)),bind(X_60,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4547,plain,
( join(composition(X0,skolemFOFtoCNF_X0),zero) != join(zero,composition(X0,skolemFOFtoCNF_X0))
| join(zero,composition(X0,skolemFOFtoCNF_X0)) != composition(X0,skolemFOFtoCNF_X0)
| join(composition(X0,skolemFOFtoCNF_X0),zero) = composition(X0,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(X0,skolemFOFtoCNF_X0),zero))),bind(Y,$fot(join(zero,composition(X0,skolemFOFtoCNF_X0)))),bind(Z,$fot(composition(X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4548,plain,
( join(zero,composition(X0,skolemFOFtoCNF_X0)) != composition(X0,skolemFOFtoCNF_X0)
| join(composition(X0,skolemFOFtoCNF_X0),zero) = composition(X0,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(composition(X0,skolemFOFtoCNF_X0),zero),join(zero,composition(X0,skolemFOFtoCNF_X0))) )],[refute_0_4546,refute_0_4547]) ).
cnf(refute_0_4549,plain,
join(composition(X0,skolemFOFtoCNF_X0),zero) = composition(X0,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(zero,composition(X0,skolemFOFtoCNF_X0)),composition(X0,skolemFOFtoCNF_X0)) )],[refute_0_4543,refute_0_4548]) ).
cnf(refute_0_4550,plain,
( composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) != join(composition(X0,skolemFOFtoCNF_X0),zero)
| join(composition(X0,skolemFOFtoCNF_X0),zero) != composition(X0,skolemFOFtoCNF_X0)
| composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) = composition(X0,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),composition(X0,skolemFOFtoCNF_X0)) ),[0],$fot(join(composition(X0,skolemFOFtoCNF_X0),zero))]]) ).
cnf(refute_0_4551,plain,
( composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) != join(composition(X0,skolemFOFtoCNF_X0),zero)
| composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) = composition(X0,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(composition(X0,skolemFOFtoCNF_X0),zero),composition(X0,skolemFOFtoCNF_X0)) )],[refute_0_4549,refute_0_4550]) ).
cnf(refute_0_4552,plain,
composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) = composition(X0,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(join(X0,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),join(composition(X0,skolemFOFtoCNF_X0),zero)) )],[refute_0_4542,refute_0_4551]) ).
cnf(refute_0_4553,plain,
composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) = composition(X_58,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_4552:[bind(X0,$fot(X_58))]]) ).
cnf(refute_0_4554,plain,
join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2) = join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2),
introduced(tautology,[refl,[$fot(join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2))]]) ).
cnf(refute_0_4555,plain,
( composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) != composition(X_58,skolemFOFtoCNF_X0)
| join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2) != join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)
| join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2) = join(composition(X_58,skolemFOFtoCNF_X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2),join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)) ),[1,0],$fot(composition(X_58,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4556,plain,
( composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0) != composition(X_58,skolemFOFtoCNF_X0)
| join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2) = join(composition(X_58,skolemFOFtoCNF_X0),X2) ),
inference(resolve,[$cnf( $equal(join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2),join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)) )],[refute_0_4554,refute_0_4555]) ).
cnf(refute_0_4557,plain,
join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2) = join(composition(X_58,skolemFOFtoCNF_X0),X2),
inference(resolve,[$cnf( $equal(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),composition(X_58,skolemFOFtoCNF_X0)) )],[refute_0_4553,refute_0_4556]) ).
cnf(refute_0_4558,plain,
( join(X2,composition(X_58,skolemFOFtoCNF_X0)) != join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)
| join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2) != join(composition(X_58,skolemFOFtoCNF_X0),X2)
| join(X2,composition(X_58,skolemFOFtoCNF_X0)) = join(composition(X_58,skolemFOFtoCNF_X0),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X2,composition(X_58,skolemFOFtoCNF_X0)),join(composition(X_58,skolemFOFtoCNF_X0),X2)) ),[0],$fot(join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2))]]) ).
cnf(refute_0_4559,plain,
( join(X2,composition(X_58,skolemFOFtoCNF_X0)) != join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)
| join(X2,composition(X_58,skolemFOFtoCNF_X0)) = join(composition(X_58,skolemFOFtoCNF_X0),X2) ),
inference(resolve,[$cnf( $equal(join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2),join(composition(X_58,skolemFOFtoCNF_X0),X2)) )],[refute_0_4557,refute_0_4558]) ).
cnf(refute_0_4560,plain,
join(X2,composition(X_58,skolemFOFtoCNF_X0)) = join(composition(X_58,skolemFOFtoCNF_X0),X2),
inference(resolve,[$cnf( $equal(join(X2,composition(X_58,skolemFOFtoCNF_X0)),join(composition(join(X_58,converse(composition(join(one,skolemFOFtoCNF_X0),complement(composition(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),top))))),skolemFOFtoCNF_X0),X2)) )],[refute_0_4538,refute_0_4559]) ).
cnf(refute_0_4561,plain,
( join(X2,composition(X_58,skolemFOFtoCNF_X0)) != join(composition(X_58,skolemFOFtoCNF_X0),X2)
| join(composition(X_58,skolemFOFtoCNF_X0),X2) = join(X2,composition(X_58,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X2,composition(X_58,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(composition(X_58,skolemFOFtoCNF_X0),X2)))]]) ).
cnf(refute_0_4562,plain,
join(composition(X_58,skolemFOFtoCNF_X0),X2) = join(X2,composition(X_58,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(X2,composition(X_58,skolemFOFtoCNF_X0)),join(composition(X_58,skolemFOFtoCNF_X0),X2)) )],[refute_0_4560,refute_0_4561]) ).
cnf(refute_0_4563,plain,
join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))) = join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_4562:[bind(X2,$fot(complement(complement(one)))),bind(X_58,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4564,plain,
( join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))) != join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))))),bind(Y,$fot(join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),bind(Z,$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4565,plain,
( join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))),join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_4563,refute_0_4564]) ).
cnf(refute_0_4566,plain,
join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_2518,refute_0_4565]) ).
cnf(refute_0_4567,plain,
( join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| one != join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))
| one = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))) ),[1],$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4568,plain,
( one != join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))
| one = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one))),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_4566,refute_0_4567]) ).
cnf(refute_0_4569,plain,
( join(complement(complement(one)),zero) != join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))
| one = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(one,join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))) )],[refute_0_2514,refute_0_4568]) ).
cnf(refute_0_4570,plain,
one = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),zero),join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),complement(complement(one)))) )],[refute_0_2503,refute_0_4569]) ).
cnf(refute_0_4571,plain,
join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) != one,
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_4572,plain,
join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) = join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_8:[bind(X0,$fot(one)),bind(X1,$fot(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4573,plain,
( join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != one
| join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one),one) ),[0],$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4574,plain,
( join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != one
| join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one) = one ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one),join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_4572,refute_0_4573]) ).
cnf(refute_0_4575,plain,
join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != one,
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),one),one) )],[refute_0_4574,refute_0_4571]) ).
cnf(refute_0_4576,plain,
( one != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4577,plain,
one != join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),one) )],[refute_0_4576,refute_0_4575]) ).
cnf(refute_0_4578,plain,
$false,
inference(resolve,[$cnf( $equal(one,join(one,composition(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_4570,refute_0_4577]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : REL042+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 12:13:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 186.85/187.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 186.85/187.05
% 186.85/187.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 187.40/187.58
%------------------------------------------------------------------------------