TSTP Solution File: REL018+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL018+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:43:33 EDT 2022
% Result : Theorem 3.45s 3.64s
% Output : CNFRefutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 104
% Number of leaves : 246
% Syntax : Number of formulae : 1061 ( 543 unt; 0 def)
% Number of atoms : 1806 (1805 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1491 ( 746 ~; 740 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 972 ( 23 sgn 69 !; 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_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0] :
( composition(X0,top) = X0
=> composition(complement(X0),top) = complement(X0) ) ).
fof(subgoal_0,plain,
! [X0] :
( composition(X0,top) = X0
=> composition(complement(X0),top) = complement(X0) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( composition(X0,top) = X0
=> composition(complement(X0),top) = complement(X0) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,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_1,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_3,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_5,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_7,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_9,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_11,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
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] :
( composition(complement(X0),top) != complement(X0)
& composition(X0,top) = X0 ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_23,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != complement(skolemFOFtoCNF_X0)
& composition(skolemFOFtoCNF_X0,top) = skolemFOFtoCNF_X0 ),
inference(skolemize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
composition(skolemFOFtoCNF_X0,top) = skolemFOFtoCNF_X0,
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_26,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
composition(complement(skolemFOFtoCNF_X0),top) != complement(skolemFOFtoCNF_X0),
inference(conjunct,[],[normalize_0_23]) ).
cnf(refute_0_0,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_6,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_8,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_9,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_0,refute_0_9]) ).
cnf(refute_0_11,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_12,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_13,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_14,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_16,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_17,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_19]) ).
cnf(refute_0_21,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_20:[bind(X,$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_22,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_11,refute_0_22]) ).
cnf(refute_0_24,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_25,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_10,refute_0_25]) ).
cnf(refute_0_27,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_40),complement(join(complement(join(zero,complement(X1))),X_40))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(join(zero,complement(X1)))),bind(X1,$fot(X_40))]]) ).
cnf(refute_0_28,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(top))]]) ).
cnf(refute_0_29,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_30,plain,
zero = meet(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25)))),
inference(subst,[],[refute_0_29:[bind(X0,$fot(join(complement(X_24),complement(X_25))))]]) ).
cnf(refute_0_31,plain,
meet(X_24,X_25) = complement(join(complement(X_24),complement(X_25))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_24)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_32,plain,
( meet(X_24,X_25) != complement(join(complement(X_24),complement(X_25)))
| complement(join(complement(X_24),complement(X_25))) = meet(X_24,X_25) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_24,X_25))),bind(Y,$fot(complement(join(complement(X_24),complement(X_25)))))]]) ).
cnf(refute_0_33,plain,
complement(join(complement(X_24),complement(X_25))) = meet(X_24,X_25),
inference(resolve,[$cnf( $equal(meet(X_24,X_25),complement(join(complement(X_24),complement(X_25)))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( complement(join(complement(X_24),complement(X_25))) != meet(X_24,X_25)
| zero != meet(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))
| zero = meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))) ),[1,1],$fot(meet(X_24,X_25))]]) ).
cnf(refute_0_35,plain,
( zero != meet(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))
| zero = meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_24),complement(X_25))),meet(X_24,X_25)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
zero = meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))) )],[refute_0_30,refute_0_35]) ).
cnf(refute_0_37,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_38,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_39,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
join(meet(X_24,X_25),complement(meet(X_24,X_25))) = top,
inference(subst,[],[refute_0_39:[bind(X0,$fot(meet(X_24,X_25)))]]) ).
cnf(refute_0_41,plain,
complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) = complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))))]]) ).
cnf(refute_0_42,plain,
( complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) != complement(join(meet(X_24,X_25),complement(meet(X_24,X_25))))
| join(meet(X_24,X_25),complement(meet(X_24,X_25))) != top
| complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))),complement(join(meet(X_24,X_25),complement(meet(X_24,X_25))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_43,plain,
( join(meet(X_24,X_25),complement(meet(X_24,X_25))) != top
| complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))),complement(join(meet(X_24,X_25),complement(meet(X_24,X_25))))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_24,X_25),complement(meet(X_24,X_25))),top) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
meet(join(complement(X_24),complement(X_25)),X1) = complement(join(complement(join(complement(X_24),complement(X_25))),complement(X1))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(join(complement(X_24),complement(X_25))))]]) ).
cnf(refute_0_46,plain,
( complement(join(complement(X_24),complement(X_25))) != meet(X_24,X_25)
| meet(join(complement(X_24),complement(X_25)),X1) != complement(join(complement(join(complement(X_24),complement(X_25))),complement(X1)))
| meet(join(complement(X_24),complement(X_25)),X1) = complement(join(meet(X_24,X_25),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_24),complement(X_25)),X1),complement(join(complement(join(complement(X_24),complement(X_25))),complement(X1)))) ),[1,0,0],$fot(meet(X_24,X_25))]]) ).
cnf(refute_0_47,plain,
( meet(join(complement(X_24),complement(X_25)),X1) != complement(join(complement(join(complement(X_24),complement(X_25))),complement(X1)))
| meet(join(complement(X_24),complement(X_25)),X1) = complement(join(meet(X_24,X_25),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_24),complement(X_25))),meet(X_24,X_25)) )],[refute_0_33,refute_0_46]) ).
cnf(refute_0_48,plain,
meet(join(complement(X_24),complement(X_25)),X1) = complement(join(meet(X_24,X_25),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_24),complement(X_25)),X1),complement(join(complement(join(complement(X_24),complement(X_25))),complement(X1)))) )],[refute_0_45,refute_0_47]) ).
cnf(refute_0_49,plain,
meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) = complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))),
inference(subst,[],[refute_0_48:[bind(X1,$fot(meet(X_24,X_25)))]]) ).
cnf(refute_0_50,plain,
( complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) != complement(top)
| meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) != complement(join(meet(X_24,X_25),complement(meet(X_24,X_25))))
| meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) = complement(top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)))),bind(Y,$fot(complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_51,plain,
( complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) != complement(top)
| meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)),complement(join(meet(X_24,X_25),complement(meet(X_24,X_25))))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))),complement(top)) )],[refute_0_44,refute_0_51]) ).
cnf(refute_0_53,plain,
( meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) != complement(top)
| zero != meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_54,plain,
( zero != meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)),complement(top)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25))) )],[refute_0_36,refute_0_54]) ).
cnf(refute_0_56,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_57,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( complement(top) != zero
| meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_59,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_28,refute_0_59]) ).
cnf(refute_0_61,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_62,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_40),complement(join(complement(join(zero,complement(X1))),X_40)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_40),complement(join(meet(top,X1),X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_40),complement(join(complement(join(zero,complement(X1))),X_40)))) ),[1,1,0,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_64,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_40),complement(join(complement(join(zero,complement(X1))),X_40)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_40),complement(join(meet(top,X1),X_40))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_40),complement(join(meet(top,X1),X_40))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_40),complement(join(complement(join(zero,complement(X1))),X_40)))) )],[refute_0_27,refute_0_64]) ).
cnf(refute_0_66,plain,
join(meet(join(zero,complement(X1)),X_40),complement(join(meet(top,X1),X_40))) = join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(meet(top,X1),X_40)))),bind(X1,$fot(meet(join(zero,complement(X1)),X_40)))]]) ).
cnf(refute_0_67,plain,
( join(meet(join(zero,complement(X1)),X_40),complement(join(meet(top,X1),X_40))) != join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_40),complement(join(meet(top,X1),X_40)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_40),complement(join(meet(top,X1),X_40)))) ),[1],$fot(join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)))]]) ).
cnf(refute_0_68,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_40),complement(join(meet(top,X1),X_40)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(X1)),X_40),complement(join(meet(top,X1),X_40))),join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_40),complement(join(meet(top,X1),X_40)))) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
X0 = join(meet(X0,zero),complement(join(complement(X0),zero))),
inference(subst,[],[refute_0_26:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_71,plain,
meet(X0,zero) = complement(join(complement(X0),complement(zero))),
inference(subst,[],[refute_0_12:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_72,plain,
X_39 = join(meet(X_39,join(zero,meet(top,X_39))),complement(join(complement(X_39),join(zero,meet(top,X_39))))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_39)),bind(X1,$fot(join(zero,meet(top,X_39))))]]) ).
cnf(refute_0_73,plain,
top = join(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25)))),
inference(subst,[],[refute_0_37:[bind(X0,$fot(join(complement(X_24),complement(X_25))))]]) ).
cnf(refute_0_74,plain,
( complement(join(complement(X_24),complement(X_25))) != meet(X_24,X_25)
| top != join(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))
| top = join(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))) ),[1,1],$fot(meet(X_24,X_25))]]) ).
cnf(refute_0_75,plain,
( top != join(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))
| top = join(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_24),complement(X_25))),meet(X_24,X_25)) )],[refute_0_33,refute_0_74]) ).
cnf(refute_0_76,plain,
top = join(join(complement(X_24),complement(X_25)),meet(X_24,X_25)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))) )],[refute_0_73,refute_0_75]) ).
cnf(refute_0_77,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_78,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_79,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
join(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) = join(complement(X_24),join(complement(X_25),meet(X_24,X_25))),
inference(subst,[],[refute_0_79:[bind(X0,$fot(complement(X_24))),bind(X1,$fot(complement(X_25))),bind(X2,$fot(meet(X_24,X_25)))]]) ).
cnf(refute_0_81,plain,
( join(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) != join(complement(X_24),join(complement(X_25),meet(X_24,X_25)))
| top != join(join(complement(X_24),complement(X_25)),meet(X_24,X_25))
| top = join(complement(X_24),join(complement(X_25),meet(X_24,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_24),complement(X_25)),meet(X_24,X_25))) ),[1],$fot(join(complement(X_24),join(complement(X_25),meet(X_24,X_25))))]]) ).
cnf(refute_0_82,plain,
( top != join(join(complement(X_24),complement(X_25)),meet(X_24,X_25))
| top = join(complement(X_24),join(complement(X_25),meet(X_24,X_25))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_24),complement(X_25)),meet(X_24,X_25)),join(complement(X_24),join(complement(X_25),meet(X_24,X_25)))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
top = join(complement(X_24),join(complement(X_25),meet(X_24,X_25))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_24),complement(X_25)),meet(X_24,X_25))) )],[refute_0_76,refute_0_82]) ).
cnf(refute_0_84,plain,
top = join(complement(X_30),join(complement(top),meet(X_30,top))),
inference(subst,[],[refute_0_83:[bind(X_24,$fot(X_30)),bind(X_25,$fot(top))]]) ).
cnf(refute_0_85,plain,
( complement(top) != zero
| top != join(complement(X_30),join(complement(top),meet(X_30,top)))
| top = join(complement(X_30),join(zero,meet(X_30,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_30),join(complement(top),meet(X_30,top)))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_86,plain,
( top != join(complement(X_30),join(complement(top),meet(X_30,top)))
| top = join(complement(X_30),join(zero,meet(X_30,top))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_85]) ).
cnf(refute_0_87,plain,
top = join(complement(X_30),join(zero,meet(X_30,top))),
inference(resolve,[$cnf( $equal(top,join(complement(X_30),join(complement(top),meet(X_30,top)))) )],[refute_0_84,refute_0_86]) ).
cnf(refute_0_88,plain,
top = join(complement(X_33),join(zero,meet(X_33,top))),
inference(subst,[],[refute_0_87:[bind(X_30,$fot(X_33))]]) ).
cnf(refute_0_89,plain,
join(complement(X_25),complement(X_24)) = join(complement(X_24),complement(X_25)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(X_25))),bind(X1,$fot(complement(X_24)))]]) ).
cnf(refute_0_90,plain,
( join(complement(X_25),complement(X_24)) != join(complement(X_24),complement(X_25))
| join(complement(X_24),complement(X_25)) = join(complement(X_25),complement(X_24)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_25),complement(X_24)))),bind(Y,$fot(join(complement(X_24),complement(X_25))))]]) ).
cnf(refute_0_91,plain,
join(complement(X_24),complement(X_25)) = join(complement(X_25),complement(X_24)),
inference(resolve,[$cnf( $equal(join(complement(X_25),complement(X_24)),join(complement(X_24),complement(X_25))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( join(complement(X_24),complement(X_25)) != join(complement(X_25),complement(X_24))
| meet(X_24,X_25) != complement(join(complement(X_24),complement(X_25)))
| meet(X_24,X_25) = complement(join(complement(X_25),complement(X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_24,X_25),complement(join(complement(X_24),complement(X_25)))) ),[1,0],$fot(join(complement(X_25),complement(X_24)))]]) ).
cnf(refute_0_93,plain,
( meet(X_24,X_25) != complement(join(complement(X_24),complement(X_25)))
| meet(X_24,X_25) = complement(join(complement(X_25),complement(X_24))) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),complement(X_25)),join(complement(X_25),complement(X_24))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
meet(X_24,X_25) = complement(join(complement(X_25),complement(X_24))),
inference(resolve,[$cnf( $equal(meet(X_24,X_25),complement(join(complement(X_24),complement(X_25)))) )],[refute_0_31,refute_0_93]) ).
cnf(refute_0_95,plain,
complement(join(complement(X_25),complement(X_24))) = meet(X_25,X_24),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_25)),bind(X1,$fot(X_24))]]) ).
cnf(refute_0_96,plain,
( complement(join(complement(X_25),complement(X_24))) != meet(X_25,X_24)
| meet(X_24,X_25) != complement(join(complement(X_25),complement(X_24)))
| meet(X_24,X_25) = meet(X_25,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_24,X_25),complement(join(complement(X_25),complement(X_24)))) ),[1],$fot(meet(X_25,X_24))]]) ).
cnf(refute_0_97,plain,
( meet(X_24,X_25) != complement(join(complement(X_25),complement(X_24)))
| meet(X_24,X_25) = meet(X_25,X_24) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_25),complement(X_24))),meet(X_25,X_24)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
meet(X_24,X_25) = meet(X_25,X_24),
inference(resolve,[$cnf( $equal(meet(X_24,X_25),complement(join(complement(X_25),complement(X_24)))) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
meet(top,X_33) = meet(X_33,top),
inference(subst,[],[refute_0_98:[bind(X_24,$fot(top)),bind(X_25,$fot(X_33))]]) ).
cnf(refute_0_100,plain,
( meet(top,X_33) != meet(X_33,top)
| meet(X_33,top) = meet(top,X_33) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_33))),bind(Y,$fot(meet(X_33,top)))]]) ).
cnf(refute_0_101,plain,
meet(X_33,top) = meet(top,X_33),
inference(resolve,[$cnf( $equal(meet(top,X_33),meet(X_33,top)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
( meet(X_33,top) != meet(top,X_33)
| top != join(complement(X_33),join(zero,meet(X_33,top)))
| top = join(complement(X_33),join(zero,meet(top,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_33),join(zero,meet(X_33,top)))) ),[1,1,1],$fot(meet(top,X_33))]]) ).
cnf(refute_0_103,plain,
( top != join(complement(X_33),join(zero,meet(X_33,top)))
| top = join(complement(X_33),join(zero,meet(top,X_33))) ),
inference(resolve,[$cnf( $equal(meet(X_33,top),meet(top,X_33)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
top = join(complement(X_33),join(zero,meet(top,X_33))),
inference(resolve,[$cnf( $equal(top,join(complement(X_33),join(zero,meet(X_33,top)))) )],[refute_0_88,refute_0_103]) ).
cnf(refute_0_105,plain,
top = join(complement(X_39),join(zero,meet(top,X_39))),
inference(subst,[],[refute_0_104:[bind(X_33,$fot(X_39))]]) ).
cnf(refute_0_106,plain,
( top != join(complement(X_39),join(zero,meet(top,X_39)))
| join(complement(X_39),join(zero,meet(top,X_39))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_39),join(zero,meet(top,X_39)))))]]) ).
cnf(refute_0_107,plain,
join(complement(X_39),join(zero,meet(top,X_39))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_39),join(zero,meet(top,X_39)))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
( X_39 != join(meet(X_39,join(zero,meet(top,X_39))),complement(join(complement(X_39),join(zero,meet(top,X_39)))))
| join(complement(X_39),join(zero,meet(top,X_39))) != top
| X_39 = join(meet(X_39,join(zero,meet(top,X_39))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,join(zero,meet(top,X_39))),complement(join(complement(X_39),join(zero,meet(top,X_39)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_109,plain,
( X_39 != join(meet(X_39,join(zero,meet(top,X_39))),complement(join(complement(X_39),join(zero,meet(top,X_39)))))
| X_39 = join(meet(X_39,join(zero,meet(top,X_39))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),join(zero,meet(top,X_39))),top) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
X_39 = join(meet(X_39,join(zero,meet(top,X_39))),complement(top)),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,join(zero,meet(top,X_39))),complement(join(complement(X_39),join(zero,meet(top,X_39)))))) )],[refute_0_72,refute_0_109]) ).
cnf(refute_0_111,plain,
join(complement(top),meet(X_39,join(zero,meet(top,X_39)))) = join(complement(top),meet(X_39,join(zero,meet(top,X_39)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_39,join(zero,meet(top,X_39)))))]]) ).
cnf(refute_0_112,plain,
( complement(top) != zero
| join(complement(top),meet(X_39,join(zero,meet(top,X_39)))) != join(complement(top),meet(X_39,join(zero,meet(top,X_39))))
| join(complement(top),meet(X_39,join(zero,meet(top,X_39)))) = join(zero,meet(X_39,join(zero,meet(top,X_39)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_39,join(zero,meet(top,X_39)))),join(complement(top),meet(X_39,join(zero,meet(top,X_39))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_113,plain,
( complement(top) != zero
| join(complement(top),meet(X_39,join(zero,meet(top,X_39)))) = join(zero,meet(X_39,join(zero,meet(top,X_39)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_39,join(zero,meet(top,X_39)))),join(complement(top),meet(X_39,join(zero,meet(top,X_39))))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
join(complement(top),meet(X_39,join(zero,meet(top,X_39)))) = join(zero,meet(X_39,join(zero,meet(top,X_39)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_113]) ).
cnf(refute_0_115,plain,
join(meet(X_39,join(zero,meet(top,X_39))),complement(top)) = join(complement(top),meet(X_39,join(zero,meet(top,X_39)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_39,join(zero,meet(top,X_39)))))]]) ).
cnf(refute_0_116,plain,
( join(complement(top),meet(X_39,join(zero,meet(top,X_39)))) != join(zero,meet(X_39,join(zero,meet(top,X_39))))
| join(meet(X_39,join(zero,meet(top,X_39))),complement(top)) != join(complement(top),meet(X_39,join(zero,meet(top,X_39))))
| join(meet(X_39,join(zero,meet(top,X_39))),complement(top)) = join(zero,meet(X_39,join(zero,meet(top,X_39)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(X_39,join(zero,meet(top,X_39))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_39,join(zero,meet(top,X_39)))))),bind(Z,$fot(join(zero,meet(X_39,join(zero,meet(top,X_39))))))]]) ).
cnf(refute_0_117,plain,
( join(complement(top),meet(X_39,join(zero,meet(top,X_39)))) != join(zero,meet(X_39,join(zero,meet(top,X_39))))
| join(meet(X_39,join(zero,meet(top,X_39))),complement(top)) = join(zero,meet(X_39,join(zero,meet(top,X_39)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,join(zero,meet(top,X_39))),complement(top)),join(complement(top),meet(X_39,join(zero,meet(top,X_39))))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
join(meet(X_39,join(zero,meet(top,X_39))),complement(top)) = join(zero,meet(X_39,join(zero,meet(top,X_39)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_39,join(zero,meet(top,X_39)))),join(zero,meet(X_39,join(zero,meet(top,X_39))))) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
( X_39 != join(meet(X_39,join(zero,meet(top,X_39))),complement(top))
| join(meet(X_39,join(zero,meet(top,X_39))),complement(top)) != join(zero,meet(X_39,join(zero,meet(top,X_39))))
| X_39 = join(zero,meet(X_39,join(zero,meet(top,X_39)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(zero,meet(X_39,join(zero,meet(top,X_39))))) ),[0],$fot(join(meet(X_39,join(zero,meet(top,X_39))),complement(top)))]]) ).
cnf(refute_0_120,plain,
( X_39 != join(meet(X_39,join(zero,meet(top,X_39))),complement(top))
| X_39 = join(zero,meet(X_39,join(zero,meet(top,X_39)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,join(zero,meet(top,X_39))),complement(top)),join(zero,meet(X_39,join(zero,meet(top,X_39))))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
X_39 = join(zero,meet(X_39,join(zero,meet(top,X_39)))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,join(zero,meet(top,X_39))),complement(top))) )],[refute_0_110,refute_0_120]) ).
cnf(refute_0_122,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top)))))),
inference(subst,[],[refute_0_121:[bind(X_39,$fot(complement(complement(top))))]]) ).
cnf(refute_0_123,plain,
X_39 = join(meet(X_39,complement(complement(X_39))),complement(join(complement(X_39),complement(complement(X_39))))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_39)),bind(X1,$fot(complement(complement(X_39))))]]) ).
cnf(refute_0_124,plain,
top = join(complement(X_39),complement(complement(X_39))),
inference(subst,[],[refute_0_37:[bind(X0,$fot(complement(X_39)))]]) ).
cnf(refute_0_125,plain,
( top != join(complement(X_39),complement(complement(X_39)))
| join(complement(X_39),complement(complement(X_39))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_39),complement(complement(X_39)))))]]) ).
cnf(refute_0_126,plain,
join(complement(X_39),complement(complement(X_39))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_39),complement(complement(X_39)))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( X_39 != join(meet(X_39,complement(complement(X_39))),complement(join(complement(X_39),complement(complement(X_39)))))
| join(complement(X_39),complement(complement(X_39))) != top
| X_39 = join(meet(X_39,complement(complement(X_39))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,complement(complement(X_39))),complement(join(complement(X_39),complement(complement(X_39)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_128,plain,
( X_39 != join(meet(X_39,complement(complement(X_39))),complement(join(complement(X_39),complement(complement(X_39)))))
| X_39 = join(meet(X_39,complement(complement(X_39))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(complement(X_39))),top) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
X_39 = join(meet(X_39,complement(complement(X_39))),complement(top)),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,complement(complement(X_39))),complement(join(complement(X_39),complement(complement(X_39)))))) )],[refute_0_123,refute_0_128]) ).
cnf(refute_0_130,plain,
join(complement(top),meet(X_39,complement(complement(X_39)))) = join(complement(top),meet(X_39,complement(complement(X_39)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_39,complement(complement(X_39)))))]]) ).
cnf(refute_0_131,plain,
( complement(top) != zero
| join(complement(top),meet(X_39,complement(complement(X_39)))) != join(complement(top),meet(X_39,complement(complement(X_39))))
| join(complement(top),meet(X_39,complement(complement(X_39)))) = join(zero,meet(X_39,complement(complement(X_39)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_39,complement(complement(X_39)))),join(complement(top),meet(X_39,complement(complement(X_39))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_132,plain,
( complement(top) != zero
| join(complement(top),meet(X_39,complement(complement(X_39)))) = join(zero,meet(X_39,complement(complement(X_39)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_39,complement(complement(X_39)))),join(complement(top),meet(X_39,complement(complement(X_39))))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
join(complement(top),meet(X_39,complement(complement(X_39)))) = join(zero,meet(X_39,complement(complement(X_39)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_132]) ).
cnf(refute_0_134,plain,
join(meet(X_39,complement(complement(X_39))),complement(top)) = join(complement(top),meet(X_39,complement(complement(X_39)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_39,complement(complement(X_39)))))]]) ).
cnf(refute_0_135,plain,
( join(complement(top),meet(X_39,complement(complement(X_39)))) != join(zero,meet(X_39,complement(complement(X_39))))
| join(meet(X_39,complement(complement(X_39))),complement(top)) != join(complement(top),meet(X_39,complement(complement(X_39))))
| join(meet(X_39,complement(complement(X_39))),complement(top)) = join(zero,meet(X_39,complement(complement(X_39)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(X_39,complement(complement(X_39))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_39,complement(complement(X_39)))))),bind(Z,$fot(join(zero,meet(X_39,complement(complement(X_39))))))]]) ).
cnf(refute_0_136,plain,
( join(complement(top),meet(X_39,complement(complement(X_39)))) != join(zero,meet(X_39,complement(complement(X_39))))
| join(meet(X_39,complement(complement(X_39))),complement(top)) = join(zero,meet(X_39,complement(complement(X_39)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,complement(complement(X_39))),complement(top)),join(complement(top),meet(X_39,complement(complement(X_39))))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
join(meet(X_39,complement(complement(X_39))),complement(top)) = join(zero,meet(X_39,complement(complement(X_39)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_39,complement(complement(X_39)))),join(zero,meet(X_39,complement(complement(X_39))))) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
( X_39 != join(meet(X_39,complement(complement(X_39))),complement(top))
| join(meet(X_39,complement(complement(X_39))),complement(top)) != join(zero,meet(X_39,complement(complement(X_39))))
| X_39 = join(zero,meet(X_39,complement(complement(X_39)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(zero,meet(X_39,complement(complement(X_39))))) ),[0],$fot(join(meet(X_39,complement(complement(X_39))),complement(top)))]]) ).
cnf(refute_0_139,plain,
( X_39 != join(meet(X_39,complement(complement(X_39))),complement(top))
| X_39 = join(zero,meet(X_39,complement(complement(X_39)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,complement(complement(X_39))),complement(top)),join(zero,meet(X_39,complement(complement(X_39))))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
X_39 = join(zero,meet(X_39,complement(complement(X_39)))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,complement(complement(X_39))),complement(top))) )],[refute_0_129,refute_0_139]) ).
cnf(refute_0_141,plain,
top = join(zero,meet(top,complement(complement(top)))),
inference(subst,[],[refute_0_140:[bind(X_39,$fot(top))]]) ).
cnf(refute_0_142,plain,
( top != join(zero,meet(top,complement(complement(top))))
| join(zero,meet(top,complement(complement(top)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(complement(top))))))]]) ).
cnf(refute_0_143,plain,
join(zero,meet(top,complement(complement(top)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))
| join(zero,meet(top,complement(complement(top)))) != top
| complement(complement(top)) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_145,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))
| complement(complement(top)) = join(zero,meet(complement(complement(top)),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(complement(top)))),top) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),top)),
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))) )],[refute_0_122,refute_0_145]) ).
cnf(refute_0_147,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_148,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_149,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_149]) ).
cnf(refute_0_151,plain,
( complement(complement(top)) != complement(zero)
| complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) ),[0],$fot(complement(zero))]]) ).
cnf(refute_0_152,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
join(zero,complement(zero)) = top,
inference(subst,[],[refute_0_39:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_154,plain,
meet(top,complement(X_41)) = complement(join(zero,complement(complement(X_41)))),
inference(subst,[],[refute_0_60:[bind(X1,$fot(complement(X_41)))]]) ).
cnf(refute_0_155,plain,
X_39 = join(meet(X_39,complement(X_39)),complement(join(complement(X_39),complement(X_39)))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_39)),bind(X1,$fot(complement(X_39)))]]) ).
cnf(refute_0_156,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_157,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_158,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$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_159,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_156,refute_0_159]) ).
cnf(refute_0_161,plain,
join(complement(X_20),composition(converse(one),complement(composition(one,X_20)))) = complement(X_20),
inference(subst,[],[refute_0_160:[bind(X0,$fot(one)),bind(X1,$fot(X_20))]]) ).
cnf(refute_0_162,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_163,plain,
converse(composition(converse(X0),X_12)) = composition(converse(X_12),converse(converse(X0))),
inference(subst,[],[refute_0_162:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_12))]]) ).
cnf(refute_0_164,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_165,plain,
( converse(composition(converse(X0),X_12)) != composition(converse(X_12),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_12)) = composition(converse(X_12),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_12)),composition(converse(X_12),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_166,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( $equal(converse(converse(X0)),X0) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
converse(composition(converse(X0),X_12)) = composition(converse(X_12),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_12)),composition(converse(X_12),converse(converse(X0)))) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
converse(composition(converse(X_13),one)) = composition(converse(one),X_13),
inference(subst,[],[refute_0_167:[bind(X0,$fot(X_13)),bind(X_12,$fot(one))]]) ).
cnf(refute_0_169,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_170,plain,
composition(converse(X_13),one) = converse(X_13),
inference(subst,[],[refute_0_169:[bind(X0,$fot(converse(X_13)))]]) ).
cnf(refute_0_171,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_172,plain,
( converse(composition(converse(X_13),one)) != composition(converse(one),X_13)
| converse(converse(X_13)) = composition(converse(one),X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(X_13),one),converse(X_13)) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
converse(converse(X_13)) = composition(converse(one),X_13),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_13),one)),composition(converse(one),X_13)) )],[refute_0_168,refute_0_172]) ).
cnf(refute_0_174,plain,
converse(converse(X_13)) = X_13,
inference(subst,[],[refute_0_164:[bind(X0,$fot(X_13))]]) ).
cnf(refute_0_175,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_176,plain,
( converse(converse(X_13)) != composition(converse(one),X_13)
| X_13 = composition(converse(one),X_13) ),
inference(resolve,[$cnf( $equal(converse(converse(X_13)),X_13) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
X_13 = composition(converse(one),X_13),
inference(resolve,[$cnf( $equal(converse(converse(X_13)),composition(converse(one),X_13)) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_169:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_179,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_177:[bind(X_13,$fot(one))]]) ).
cnf(refute_0_180,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_181,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_183,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_178,refute_0_183]) ).
cnf(refute_0_185,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_186,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
composition(converse(one),X_13) = composition(converse(one),X_13),
introduced(tautology,[refl,[$fot(composition(converse(one),X_13))]]) ).
cnf(refute_0_188,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_189,plain,
( converse(one) != one
| composition(converse(one),X_13) = composition(one,X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_13),composition(converse(one),X_13)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
composition(converse(one),X_13) = composition(one,X_13),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
( X_13 != composition(converse(one),X_13)
| composition(converse(one),X_13) != composition(one,X_13)
| X_13 = composition(one,X_13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_13,composition(one,X_13)) ),[0],$fot(composition(converse(one),X_13))]]) ).
cnf(refute_0_192,plain,
( X_13 != composition(converse(one),X_13)
| X_13 = composition(one,X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_13),composition(one,X_13)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
X_13 = composition(one,X_13),
inference(resolve,[$cnf( $equal(X_13,composition(converse(one),X_13)) )],[refute_0_177,refute_0_192]) ).
cnf(refute_0_194,plain,
X_20 = composition(one,X_20),
inference(subst,[],[refute_0_193:[bind(X_13,$fot(X_20))]]) ).
cnf(refute_0_195,plain,
( X_20 != composition(one,X_20)
| composition(one,X_20) = X_20 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_20)),bind(Y,$fot(composition(one,X_20)))]]) ).
cnf(refute_0_196,plain,
composition(one,X_20) = X_20,
inference(resolve,[$cnf( $equal(X_20,composition(one,X_20)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
( composition(one,X_20) != X_20
| join(complement(X_20),composition(converse(one),complement(composition(one,X_20)))) != complement(X_20)
| join(complement(X_20),composition(converse(one),complement(X_20))) = complement(X_20) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_20),composition(converse(one),complement(composition(one,X_20)))),complement(X_20)) ),[0,1,1,0],$fot(X_20)]]) ).
cnf(refute_0_198,plain,
( join(complement(X_20),composition(converse(one),complement(composition(one,X_20)))) != complement(X_20)
| join(complement(X_20),composition(converse(one),complement(X_20))) = complement(X_20) ),
inference(resolve,[$cnf( $equal(composition(one,X_20),X_20) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
join(complement(X_20),composition(converse(one),complement(X_20))) = complement(X_20),
inference(resolve,[$cnf( $equal(join(complement(X_20),composition(converse(one),complement(composition(one,X_20)))),complement(X_20)) )],[refute_0_161,refute_0_198]) ).
cnf(refute_0_200,plain,
( X_13 != composition(one,X_13)
| composition(one,X_13) = X_13 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_13)),bind(Y,$fot(composition(one,X_13)))]]) ).
cnf(refute_0_201,plain,
composition(one,X_13) = X_13,
inference(resolve,[$cnf( $equal(X_13,composition(one,X_13)) )],[refute_0_193,refute_0_200]) ).
cnf(refute_0_202,plain,
composition(one,complement(X_20)) = complement(X_20),
inference(subst,[],[refute_0_201:[bind(X_13,$fot(complement(X_20)))]]) ).
cnf(refute_0_203,plain,
composition(converse(one),complement(X_20)) = composition(converse(one),complement(X_20)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_20)))]]) ).
cnf(refute_0_204,plain,
( composition(converse(one),complement(X_20)) != composition(converse(one),complement(X_20))
| converse(one) != one
| composition(converse(one),complement(X_20)) = composition(one,complement(X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_20)),composition(converse(one),complement(X_20))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_205,plain,
( converse(one) != one
| composition(converse(one),complement(X_20)) = composition(one,complement(X_20)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_20)),composition(converse(one),complement(X_20))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
composition(converse(one),complement(X_20)) = composition(one,complement(X_20)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_186,refute_0_205]) ).
cnf(refute_0_207,plain,
( composition(converse(one),complement(X_20)) != composition(one,complement(X_20))
| composition(one,complement(X_20)) != complement(X_20)
| composition(converse(one),complement(X_20)) = complement(X_20) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(composition(converse(one),complement(X_20)))),bind(Y,$fot(composition(one,complement(X_20)))),bind(Z,$fot(complement(X_20)))]]) ).
cnf(refute_0_208,plain,
( composition(one,complement(X_20)) != complement(X_20)
| composition(converse(one),complement(X_20)) = complement(X_20) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_20)),composition(one,complement(X_20))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
composition(converse(one),complement(X_20)) = complement(X_20),
inference(resolve,[$cnf( $equal(composition(one,complement(X_20)),complement(X_20)) )],[refute_0_202,refute_0_208]) ).
cnf(refute_0_210,plain,
join(complement(X_20),composition(converse(one),complement(X_20))) = join(complement(X_20),composition(converse(one),complement(X_20))),
introduced(tautology,[refl,[$fot(join(complement(X_20),composition(converse(one),complement(X_20))))]]) ).
cnf(refute_0_211,plain,
( composition(converse(one),complement(X_20)) != complement(X_20)
| join(complement(X_20),composition(converse(one),complement(X_20))) != join(complement(X_20),composition(converse(one),complement(X_20)))
| join(complement(X_20),composition(converse(one),complement(X_20))) = join(complement(X_20),complement(X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_20),composition(converse(one),complement(X_20))),join(complement(X_20),composition(converse(one),complement(X_20)))) ),[1,1],$fot(complement(X_20))]]) ).
cnf(refute_0_212,plain,
( composition(converse(one),complement(X_20)) != complement(X_20)
| join(complement(X_20),composition(converse(one),complement(X_20))) = join(complement(X_20),complement(X_20)) ),
inference(resolve,[$cnf( $equal(join(complement(X_20),composition(converse(one),complement(X_20))),join(complement(X_20),composition(converse(one),complement(X_20)))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
join(complement(X_20),composition(converse(one),complement(X_20))) = join(complement(X_20),complement(X_20)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_20)),complement(X_20)) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
( join(complement(X_20),composition(converse(one),complement(X_20))) != complement(X_20)
| join(complement(X_20),composition(converse(one),complement(X_20))) != join(complement(X_20),complement(X_20))
| join(complement(X_20),complement(X_20)) = complement(X_20) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_20),composition(converse(one),complement(X_20))),complement(X_20)) ),[0],$fot(join(complement(X_20),complement(X_20)))]]) ).
cnf(refute_0_215,plain,
( join(complement(X_20),composition(converse(one),complement(X_20))) != complement(X_20)
| join(complement(X_20),complement(X_20)) = complement(X_20) ),
inference(resolve,[$cnf( $equal(join(complement(X_20),composition(converse(one),complement(X_20))),join(complement(X_20),complement(X_20))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
join(complement(X_20),complement(X_20)) = complement(X_20),
inference(resolve,[$cnf( $equal(join(complement(X_20),composition(converse(one),complement(X_20))),complement(X_20)) )],[refute_0_199,refute_0_215]) ).
cnf(refute_0_217,plain,
join(complement(X_39),complement(X_39)) = complement(X_39),
inference(subst,[],[refute_0_216:[bind(X_20,$fot(X_39))]]) ).
cnf(refute_0_218,plain,
( X_39 != join(meet(X_39,complement(X_39)),complement(join(complement(X_39),complement(X_39))))
| join(complement(X_39),complement(X_39)) != complement(X_39)
| X_39 = join(meet(X_39,complement(X_39)),complement(complement(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,complement(X_39)),complement(join(complement(X_39),complement(X_39))))) ),[1,1,0],$fot(complement(X_39))]]) ).
cnf(refute_0_219,plain,
( X_39 != join(meet(X_39,complement(X_39)),complement(join(complement(X_39),complement(X_39))))
| X_39 = join(meet(X_39,complement(X_39)),complement(complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(X_39)),complement(X_39)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
X_39 = join(meet(X_39,complement(X_39)),complement(complement(X_39))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,complement(X_39)),complement(join(complement(X_39),complement(X_39))))) )],[refute_0_155,refute_0_219]) ).
cnf(refute_0_221,plain,
join(complement(complement(X_39)),zero) = join(zero,complement(complement(X_39))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_39))))]]) ).
cnf(refute_0_222,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_223,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_29,refute_0_222]) ).
cnf(refute_0_224,plain,
meet(X_39,complement(X_39)) = zero,
inference(subst,[],[refute_0_223:[bind(X0,$fot(X_39))]]) ).
cnf(refute_0_225,plain,
join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(complement(complement(X_39)),meet(X_39,complement(X_39))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_39)),meet(X_39,complement(X_39))))]]) ).
cnf(refute_0_226,plain,
( join(complement(complement(X_39)),meet(X_39,complement(X_39))) != join(complement(complement(X_39)),meet(X_39,complement(X_39)))
| meet(X_39,complement(X_39)) != zero
| join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(complement(complement(X_39)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_39)),meet(X_39,complement(X_39))),join(complement(complement(X_39)),meet(X_39,complement(X_39)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_227,plain,
( meet(X_39,complement(X_39)) != zero
| join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(complement(complement(X_39)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_39)),meet(X_39,complement(X_39))),join(complement(complement(X_39)),meet(X_39,complement(X_39)))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(complement(complement(X_39)),zero),
inference(resolve,[$cnf( $equal(meet(X_39,complement(X_39)),zero) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
( join(complement(complement(X_39)),meet(X_39,complement(X_39))) != join(complement(complement(X_39)),zero)
| join(complement(complement(X_39)),zero) != join(zero,complement(complement(X_39)))
| join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(zero,complement(complement(X_39))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(complement(X_39)),meet(X_39,complement(X_39))))),bind(Y,$fot(join(complement(complement(X_39)),zero))),bind(Z,$fot(join(zero,complement(complement(X_39)))))]]) ).
cnf(refute_0_230,plain,
( join(complement(complement(X_39)),zero) != join(zero,complement(complement(X_39)))
| join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(zero,complement(complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_39)),meet(X_39,complement(X_39))),join(complement(complement(X_39)),zero)) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(zero,complement(complement(X_39))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_39)),zero),join(zero,complement(complement(X_39)))) )],[refute_0_221,refute_0_230]) ).
cnf(refute_0_232,plain,
join(meet(X_39,complement(X_39)),complement(complement(X_39))) = join(complement(complement(X_39)),meet(X_39,complement(X_39))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(complement(X_39)))),bind(X1,$fot(meet(X_39,complement(X_39))))]]) ).
cnf(refute_0_233,plain,
( join(complement(complement(X_39)),meet(X_39,complement(X_39))) != join(zero,complement(complement(X_39)))
| join(meet(X_39,complement(X_39)),complement(complement(X_39))) != join(complement(complement(X_39)),meet(X_39,complement(X_39)))
| join(meet(X_39,complement(X_39)),complement(complement(X_39))) = join(zero,complement(complement(X_39))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(X_39,complement(X_39)),complement(complement(X_39))))),bind(Y,$fot(join(complement(complement(X_39)),meet(X_39,complement(X_39))))),bind(Z,$fot(join(zero,complement(complement(X_39)))))]]) ).
cnf(refute_0_234,plain,
( join(complement(complement(X_39)),meet(X_39,complement(X_39))) != join(zero,complement(complement(X_39)))
| join(meet(X_39,complement(X_39)),complement(complement(X_39))) = join(zero,complement(complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,complement(X_39)),complement(complement(X_39))),join(complement(complement(X_39)),meet(X_39,complement(X_39)))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
join(meet(X_39,complement(X_39)),complement(complement(X_39))) = join(zero,complement(complement(X_39))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_39)),meet(X_39,complement(X_39))),join(zero,complement(complement(X_39)))) )],[refute_0_231,refute_0_234]) ).
cnf(refute_0_236,plain,
( X_39 != join(meet(X_39,complement(X_39)),complement(complement(X_39)))
| join(meet(X_39,complement(X_39)),complement(complement(X_39))) != join(zero,complement(complement(X_39)))
| X_39 = join(zero,complement(complement(X_39))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(zero,complement(complement(X_39)))) ),[0],$fot(join(meet(X_39,complement(X_39)),complement(complement(X_39))))]]) ).
cnf(refute_0_237,plain,
( X_39 != join(meet(X_39,complement(X_39)),complement(complement(X_39)))
| X_39 = join(zero,complement(complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,complement(X_39)),complement(complement(X_39))),join(zero,complement(complement(X_39)))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
X_39 = join(zero,complement(complement(X_39))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,complement(X_39)),complement(complement(X_39)))) )],[refute_0_220,refute_0_237]) ).
cnf(refute_0_239,plain,
X_41 = join(zero,complement(complement(X_41))),
inference(subst,[],[refute_0_238:[bind(X_39,$fot(X_41))]]) ).
cnf(refute_0_240,plain,
( X_41 != join(zero,complement(complement(X_41)))
| join(zero,complement(complement(X_41))) = X_41 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_41)),bind(Y,$fot(join(zero,complement(complement(X_41)))))]]) ).
cnf(refute_0_241,plain,
join(zero,complement(complement(X_41))) = X_41,
inference(resolve,[$cnf( $equal(X_41,join(zero,complement(complement(X_41)))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
( join(zero,complement(complement(X_41))) != X_41
| meet(top,complement(X_41)) != complement(join(zero,complement(complement(X_41))))
| meet(top,complement(X_41)) = complement(X_41) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(X_41)),complement(join(zero,complement(complement(X_41))))) ),[1,0],$fot(X_41)]]) ).
cnf(refute_0_243,plain,
( meet(top,complement(X_41)) != complement(join(zero,complement(complement(X_41))))
| meet(top,complement(X_41)) = complement(X_41) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_41))),X_41) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
meet(top,complement(X_41)) = complement(X_41),
inference(resolve,[$cnf( $equal(meet(top,complement(X_41)),complement(join(zero,complement(complement(X_41))))) )],[refute_0_154,refute_0_243]) ).
cnf(refute_0_245,plain,
meet(top,complement(complement(top))) = complement(complement(top)),
inference(subst,[],[refute_0_244:[bind(X_41,$fot(complement(top)))]]) ).
cnf(refute_0_246,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_12:[bind(X1,$fot(top))]]) ).
cnf(refute_0_247,plain,
( complement(top) != zero
| meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_248,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_247]) ).
cnf(refute_0_249,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_246,refute_0_248]) ).
cnf(refute_0_250,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_62:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_251,plain,
join(complement(X0),zero) = join(zero,complement(X0)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_252,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_253,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_254,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_251,refute_0_254]) ).
cnf(refute_0_256,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_257,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_250,refute_0_257]) ).
cnf(refute_0_259,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_260,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_249,refute_0_260]) ).
cnf(refute_0_262,plain,
meet(complement(complement(top)),top) = meet(top,complement(complement(top))),
inference(subst,[],[refute_0_261:[bind(X0,$fot(complement(complement(top))))]]) ).
cnf(refute_0_263,plain,
( meet(complement(complement(top)),top) != meet(top,complement(complement(top)))
| meet(top,complement(complement(top))) != complement(complement(top))
| meet(complement(complement(top)),top) = complement(complement(top)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(complement(complement(top)),top))),bind(Y,$fot(meet(top,complement(complement(top))))),bind(Z,$fot(complement(complement(top))))]]) ).
cnf(refute_0_264,plain,
( meet(top,complement(complement(top))) != complement(complement(top))
| meet(complement(complement(top)),top) = complement(complement(top)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),meet(top,complement(complement(top)))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
meet(complement(complement(top)),top) = complement(complement(top)),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),complement(complement(top))) )],[refute_0_245,refute_0_264]) ).
cnf(refute_0_266,plain,
( complement(complement(top)) != complement(zero)
| meet(complement(complement(top)),top) != complement(complement(top))
| meet(complement(complement(top)),top) = complement(zero) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(complement(complement(top)),top))),bind(Y,$fot(complement(complement(top)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_267,plain,
( complement(complement(top)) != complement(zero)
| meet(complement(complement(top)),top) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),complement(complement(top))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
meet(complement(complement(top)),top) = complement(zero),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_150,refute_0_267]) ).
cnf(refute_0_269,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,meet(complement(complement(top)),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_0_270,plain,
( join(zero,meet(complement(complement(top)),top)) != join(zero,meet(complement(complement(top)),top))
| meet(complement(complement(top)),top) != complement(zero)
| join(zero,meet(complement(complement(top)),top)) = join(zero,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(complement(complement(top)),top))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_271,plain,
( meet(complement(complement(top)),top) != complement(zero)
| join(zero,meet(complement(complement(top)),top)) = join(zero,complement(zero)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(complement(complement(top)),top))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,complement(zero)),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),complement(zero)) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(complement(complement(top)),top)) != join(zero,complement(zero))
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,meet(complement(complement(top)),top)))),bind(Y,$fot(join(zero,complement(zero)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_274,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,complement(zero))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
join(zero,meet(complement(complement(top)),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_153,refute_0_274]) ).
cnf(refute_0_276,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| join(zero,meet(complement(complement(top)),top)) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_0_277,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),top) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(complement(zero),join(zero,meet(complement(complement(top)),top))) )],[refute_0_152,refute_0_277]) ).
cnf(refute_0_279,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) )],[refute_0_146,refute_0_278]) ).
cnf(refute_0_280,plain,
( complement(zero) != top
| meet(X0,zero) != complement(join(complement(X0),complement(zero)))
| meet(X0,zero) = complement(join(complement(X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,zero),complement(join(complement(X0),complement(zero)))) ),[1,0,1],$fot(top)]]) ).
cnf(refute_0_281,plain,
( meet(X0,zero) != complement(join(complement(X0),complement(zero)))
| meet(X0,zero) = complement(join(complement(X0),top)) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
meet(X0,zero) = complement(join(complement(X0),top)),
inference(resolve,[$cnf( $equal(meet(X0,zero),complement(join(complement(X0),complement(zero)))) )],[refute_0_71,refute_0_281]) ).
cnf(refute_0_283,plain,
top = join(complement(X_31),join(complement(X_31),meet(X_31,X_31))),
inference(subst,[],[refute_0_83:[bind(X_24,$fot(X_31)),bind(X_25,$fot(X_31))]]) ).
cnf(refute_0_284,plain,
meet(X_25,X_25) = complement(join(complement(X_25),complement(X_25))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_25)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_285,plain,
join(complement(X_25),complement(X_25)) = complement(X_25),
inference(subst,[],[refute_0_216:[bind(X_20,$fot(X_25))]]) ).
cnf(refute_0_286,plain,
( join(complement(X_25),complement(X_25)) != complement(X_25)
| meet(X_25,X_25) != complement(join(complement(X_25),complement(X_25)))
| meet(X_25,X_25) = complement(complement(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_25,X_25),complement(join(complement(X_25),complement(X_25)))) ),[1,0],$fot(complement(X_25))]]) ).
cnf(refute_0_287,plain,
( meet(X_25,X_25) != complement(join(complement(X_25),complement(X_25)))
| meet(X_25,X_25) = complement(complement(X_25)) ),
inference(resolve,[$cnf( $equal(join(complement(X_25),complement(X_25)),complement(X_25)) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
meet(X_25,X_25) = complement(complement(X_25)),
inference(resolve,[$cnf( $equal(meet(X_25,X_25),complement(join(complement(X_25),complement(X_25)))) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
meet(X_31,X_31) = complement(complement(X_31)),
inference(subst,[],[refute_0_288:[bind(X_25,$fot(X_31))]]) ).
cnf(refute_0_290,plain,
( meet(X_31,X_31) != complement(complement(X_31))
| top != join(complement(X_31),join(complement(X_31),meet(X_31,X_31)))
| top = join(complement(X_31),join(complement(X_31),complement(complement(X_31)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_31),join(complement(X_31),meet(X_31,X_31)))) ),[1,1,1],$fot(complement(complement(X_31)))]]) ).
cnf(refute_0_291,plain,
( top != join(complement(X_31),join(complement(X_31),meet(X_31,X_31)))
| top = join(complement(X_31),join(complement(X_31),complement(complement(X_31)))) ),
inference(resolve,[$cnf( $equal(meet(X_31,X_31),complement(complement(X_31))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
top = join(complement(X_31),join(complement(X_31),complement(complement(X_31)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_31),join(complement(X_31),meet(X_31,X_31)))) )],[refute_0_283,refute_0_291]) ).
cnf(refute_0_293,plain,
join(complement(X_31),top) = join(top,complement(X_31)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_31)))]]) ).
cnf(refute_0_294,plain,
join(complement(X_31),complement(complement(X_31))) = top,
inference(subst,[],[refute_0_39:[bind(X0,$fot(complement(X_31)))]]) ).
cnf(refute_0_295,plain,
join(complement(X_31),join(complement(X_31),complement(complement(X_31)))) = join(complement(X_31),join(complement(X_31),complement(complement(X_31)))),
introduced(tautology,[refl,[$fot(join(complement(X_31),join(complement(X_31),complement(complement(X_31)))))]]) ).
cnf(refute_0_296,plain,
( join(complement(X_31),complement(complement(X_31))) != top
| join(complement(X_31),join(complement(X_31),complement(complement(X_31)))) != join(complement(X_31),join(complement(X_31),complement(complement(X_31))))
| join(complement(X_31),join(complement(X_31),complement(complement(X_31)))) = join(complement(X_31),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_31),join(complement(X_31),complement(complement(X_31)))),join(complement(X_31),join(complement(X_31),complement(complement(X_31))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_297,plain,
( join(complement(X_31),complement(complement(X_31))) != top
| join(complement(X_31),join(complement(X_31),complement(complement(X_31)))) = join(complement(X_31),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_31),join(complement(X_31),complement(complement(X_31)))),join(complement(X_31),join(complement(X_31),complement(complement(X_31))))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
join(complement(X_31),join(complement(X_31),complement(complement(X_31)))) = join(complement(X_31),top),
inference(resolve,[$cnf( $equal(join(complement(X_31),complement(complement(X_31))),top) )],[refute_0_294,refute_0_297]) ).
cnf(refute_0_299,plain,
( join(complement(X_31),join(complement(X_31),complement(complement(X_31)))) != join(complement(X_31),top)
| join(complement(X_31),top) != join(top,complement(X_31))
| join(complement(X_31),join(complement(X_31),complement(complement(X_31)))) = join(top,complement(X_31)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(X_31),join(complement(X_31),complement(complement(X_31)))))),bind(Y,$fot(join(complement(X_31),top))),bind(Z,$fot(join(top,complement(X_31))))]]) ).
cnf(refute_0_300,plain,
( join(complement(X_31),top) != join(top,complement(X_31))
| join(complement(X_31),join(complement(X_31),complement(complement(X_31)))) = join(top,complement(X_31)) ),
inference(resolve,[$cnf( $equal(join(complement(X_31),join(complement(X_31),complement(complement(X_31)))),join(complement(X_31),top)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
join(complement(X_31),join(complement(X_31),complement(complement(X_31)))) = join(top,complement(X_31)),
inference(resolve,[$cnf( $equal(join(complement(X_31),top),join(top,complement(X_31))) )],[refute_0_293,refute_0_300]) ).
cnf(refute_0_302,plain,
( join(complement(X_31),join(complement(X_31),complement(complement(X_31)))) != join(top,complement(X_31))
| top != join(complement(X_31),join(complement(X_31),complement(complement(X_31))))
| top = join(top,complement(X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_31),join(complement(X_31),complement(complement(X_31))))) ),[1],$fot(join(top,complement(X_31)))]]) ).
cnf(refute_0_303,plain,
( top != join(complement(X_31),join(complement(X_31),complement(complement(X_31))))
| top = join(top,complement(X_31)) ),
inference(resolve,[$cnf( $equal(join(complement(X_31),join(complement(X_31),complement(complement(X_31)))),join(top,complement(X_31))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
top = join(top,complement(X_31)),
inference(resolve,[$cnf( $equal(top,join(complement(X_31),join(complement(X_31),complement(complement(X_31))))) )],[refute_0_292,refute_0_303]) ).
cnf(refute_0_305,plain,
( top != join(top,complement(X_31))
| join(top,complement(X_31)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_31))))]]) ).
cnf(refute_0_306,plain,
join(top,complement(X_31)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_31))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
join(top,complement(X0)) = top,
inference(subst,[],[refute_0_306:[bind(X_31,$fot(X0))]]) ).
cnf(refute_0_308,plain,
join(complement(X0),top) = join(top,complement(X0)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_309,plain,
( join(complement(X0),top) != join(top,complement(X0))
| join(top,complement(X0)) != top
| join(complement(X0),top) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(X0),top))),bind(Y,$fot(join(top,complement(X0)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_310,plain,
( join(top,complement(X0)) != top
| join(complement(X0),top) = top ),
inference(resolve,[$cnf( $equal(join(complement(X0),top),join(top,complement(X0))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
join(complement(X0),top) = top,
inference(resolve,[$cnf( $equal(join(top,complement(X0)),top) )],[refute_0_307,refute_0_310]) ).
cnf(refute_0_312,plain,
complement(join(complement(X0),top)) = complement(join(complement(X0),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),top)))]]) ).
cnf(refute_0_313,plain,
( complement(join(complement(X0),top)) != complement(join(complement(X0),top))
| join(complement(X0),top) != top
| complement(join(complement(X0),top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),top)),complement(join(complement(X0),top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_314,plain,
( join(complement(X0),top) != top
| complement(join(complement(X0),top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),top)),complement(join(complement(X0),top))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
complement(join(complement(X0),top)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(X0),top),top) )],[refute_0_311,refute_0_314]) ).
cnf(refute_0_316,plain,
( complement(join(complement(X0),top)) != complement(top)
| complement(top) != zero
| complement(join(complement(X0),top)) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(join(complement(X0),top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_317,plain,
( complement(top) != zero
| complement(join(complement(X0),top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),top)),complement(top)) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
complement(join(complement(X0),top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_317]) ).
cnf(refute_0_319,plain,
( complement(join(complement(X0),top)) != zero
| meet(X0,zero) != complement(join(complement(X0),top))
| meet(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,zero),complement(join(complement(X0),top))) ),[1],$fot(zero)]]) ).
cnf(refute_0_320,plain,
( meet(X0,zero) != complement(join(complement(X0),top))
| meet(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),top)),zero) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
meet(X0,zero) = zero,
inference(resolve,[$cnf( $equal(meet(X0,zero),complement(join(complement(X0),top))) )],[refute_0_282,refute_0_320]) ).
cnf(refute_0_322,plain,
( X0 != join(meet(X0,zero),complement(join(complement(X0),zero)))
| meet(X0,zero) != zero
| X0 = join(zero,complement(join(complement(X0),zero))) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,zero),complement(join(complement(X0),zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_323,plain,
( X0 != join(meet(X0,zero),complement(join(complement(X0),zero)))
| X0 = join(zero,complement(join(complement(X0),zero))) ),
inference(resolve,[$cnf( $equal(meet(X0,zero),zero) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
X0 = join(zero,complement(join(complement(X0),zero))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,zero),complement(join(complement(X0),zero)))) )],[refute_0_70,refute_0_323]) ).
cnf(refute_0_325,plain,
join(zero,complement(join(complement(X0),zero))) = join(zero,complement(join(complement(X0),zero))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X0),zero))))]]) ).
cnf(refute_0_326,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| join(zero,complement(join(complement(X0),zero))) != join(zero,complement(join(complement(X0),zero)))
| join(zero,complement(join(complement(X0),zero))) = join(zero,meet(top,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X0),zero))),join(zero,complement(join(complement(X0),zero)))) ),[1,1],$fot(meet(top,X0))]]) ).
cnf(refute_0_327,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| join(zero,complement(join(complement(X0),zero))) = join(zero,meet(top,X0)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X0),zero))),join(zero,complement(join(complement(X0),zero)))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
join(zero,complement(join(complement(X0),zero))) = join(zero,meet(top,X0)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_258,refute_0_327]) ).
cnf(refute_0_329,plain,
( X0 != join(zero,complement(join(complement(X0),zero)))
| join(zero,complement(join(complement(X0),zero))) != join(zero,meet(top,X0))
| X0 = join(zero,meet(top,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(zero,meet(top,X0))) ),[0],$fot(join(zero,complement(join(complement(X0),zero))))]]) ).
cnf(refute_0_330,plain,
( X0 != join(zero,complement(join(complement(X0),zero)))
| X0 = join(zero,meet(top,X0)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X0),zero))),join(zero,meet(top,X0))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
X0 = join(zero,meet(top,X0)),
inference(resolve,[$cnf( $equal(X0,join(zero,complement(join(complement(X0),zero)))) )],[refute_0_324,refute_0_330]) ).
cnf(refute_0_332,plain,
complement(X_41) = join(zero,meet(top,complement(X_41))),
inference(subst,[],[refute_0_331:[bind(X0,$fot(complement(X_41)))]]) ).
cnf(refute_0_333,plain,
( complement(X_41) != join(zero,meet(top,complement(X_41)))
| meet(top,complement(X_41)) != complement(X_41)
| complement(X_41) = join(zero,complement(X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_41),join(zero,meet(top,complement(X_41)))) ),[1,1],$fot(complement(X_41))]]) ).
cnf(refute_0_334,plain,
( complement(X_41) != join(zero,meet(top,complement(X_41)))
| complement(X_41) = join(zero,complement(X_41)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(X_41)),complement(X_41)) )],[refute_0_244,refute_0_333]) ).
cnf(refute_0_335,plain,
complement(X_41) = join(zero,complement(X_41)),
inference(resolve,[$cnf( $equal(complement(X_41),join(zero,meet(top,complement(X_41)))) )],[refute_0_332,refute_0_334]) ).
cnf(refute_0_336,plain,
( complement(X_41) != join(zero,complement(X_41))
| join(zero,complement(X_41)) = complement(X_41) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_41))),bind(Y,$fot(join(zero,complement(X_41))))]]) ).
cnf(refute_0_337,plain,
join(zero,complement(X_41)) = complement(X_41),
inference(resolve,[$cnf( $equal(complement(X_41),join(zero,complement(X_41))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_337:[bind(X_41,$fot(X1))]]) ).
cnf(refute_0_339,plain,
( join(zero,complement(X1)) != complement(X1)
| join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))
| complement(X1) = join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))) ),[0],$fot(complement(X1))]]) ).
cnf(refute_0_340,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))
| complement(X1) = join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
meet(join(zero,complement(X1)),X_40) = meet(join(zero,complement(X1)),X_40),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),X_40))]]) ).
cnf(refute_0_342,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_40) != meet(join(zero,complement(X1)),X_40)
| meet(join(zero,complement(X1)),X_40) = meet(complement(X1),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),X_40),meet(join(zero,complement(X1)),X_40)) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_343,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_40) = meet(complement(X1),X_40) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_40),meet(join(zero,complement(X1)),X_40)) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
meet(join(zero,complement(X1)),X_40) = meet(complement(X1),X_40),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_338,refute_0_343]) ).
cnf(refute_0_345,plain,
join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)) = join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)),
introduced(tautology,[refl,[$fot(join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)))]]) ).
cnf(refute_0_346,plain,
( join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)) != join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40))
| meet(join(zero,complement(X1)),X_40) != meet(complement(X1),X_40)
| join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)) = join(complement(join(X1,X_40)),meet(complement(X1),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)),join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40))) ),[1,1],$fot(meet(complement(X1),X_40))]]) ).
cnf(refute_0_347,plain,
( meet(join(zero,complement(X1)),X_40) != meet(complement(X1),X_40)
| join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)) = join(complement(join(X1,X_40)),meet(complement(X1),X_40)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)),join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)) = join(complement(join(X1,X_40)),meet(complement(X1),X_40)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_40),meet(complement(X1),X_40)) )],[refute_0_344,refute_0_347]) ).
cnf(refute_0_349,plain,
X_39 = join(meet(X_39,join(zero,meet(X_39,top))),complement(join(complement(X_39),join(zero,meet(X_39,top))))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_39)),bind(X1,$fot(join(zero,meet(X_39,top))))]]) ).
cnf(refute_0_350,plain,
top = join(complement(X_39),join(zero,meet(X_39,top))),
inference(subst,[],[refute_0_87:[bind(X_30,$fot(X_39))]]) ).
cnf(refute_0_351,plain,
( top != join(complement(X_39),join(zero,meet(X_39,top)))
| join(complement(X_39),join(zero,meet(X_39,top))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_39),join(zero,meet(X_39,top)))))]]) ).
cnf(refute_0_352,plain,
join(complement(X_39),join(zero,meet(X_39,top))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_39),join(zero,meet(X_39,top)))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
( X_39 != join(meet(X_39,join(zero,meet(X_39,top))),complement(join(complement(X_39),join(zero,meet(X_39,top)))))
| join(complement(X_39),join(zero,meet(X_39,top))) != top
| X_39 = join(meet(X_39,join(zero,meet(X_39,top))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,join(zero,meet(X_39,top))),complement(join(complement(X_39),join(zero,meet(X_39,top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_354,plain,
( X_39 != join(meet(X_39,join(zero,meet(X_39,top))),complement(join(complement(X_39),join(zero,meet(X_39,top)))))
| X_39 = join(meet(X_39,join(zero,meet(X_39,top))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),join(zero,meet(X_39,top))),top) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
X_39 = join(meet(X_39,join(zero,meet(X_39,top))),complement(top)),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,join(zero,meet(X_39,top))),complement(join(complement(X_39),join(zero,meet(X_39,top)))))) )],[refute_0_349,refute_0_354]) ).
cnf(refute_0_356,plain,
join(complement(top),meet(X_39,join(zero,meet(X_39,top)))) = join(complement(top),meet(X_39,join(zero,meet(X_39,top)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_39,join(zero,meet(X_39,top)))))]]) ).
cnf(refute_0_357,plain,
( complement(top) != zero
| join(complement(top),meet(X_39,join(zero,meet(X_39,top)))) != join(complement(top),meet(X_39,join(zero,meet(X_39,top))))
| join(complement(top),meet(X_39,join(zero,meet(X_39,top)))) = join(zero,meet(X_39,join(zero,meet(X_39,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_39,join(zero,meet(X_39,top)))),join(complement(top),meet(X_39,join(zero,meet(X_39,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_358,plain,
( complement(top) != zero
| join(complement(top),meet(X_39,join(zero,meet(X_39,top)))) = join(zero,meet(X_39,join(zero,meet(X_39,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_39,join(zero,meet(X_39,top)))),join(complement(top),meet(X_39,join(zero,meet(X_39,top))))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
join(complement(top),meet(X_39,join(zero,meet(X_39,top)))) = join(zero,meet(X_39,join(zero,meet(X_39,top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_358]) ).
cnf(refute_0_360,plain,
join(meet(X_39,join(zero,meet(X_39,top))),complement(top)) = join(complement(top),meet(X_39,join(zero,meet(X_39,top)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_39,join(zero,meet(X_39,top)))))]]) ).
cnf(refute_0_361,plain,
( join(complement(top),meet(X_39,join(zero,meet(X_39,top)))) != join(zero,meet(X_39,join(zero,meet(X_39,top))))
| join(meet(X_39,join(zero,meet(X_39,top))),complement(top)) != join(complement(top),meet(X_39,join(zero,meet(X_39,top))))
| join(meet(X_39,join(zero,meet(X_39,top))),complement(top)) = join(zero,meet(X_39,join(zero,meet(X_39,top)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(X_39,join(zero,meet(X_39,top))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_39,join(zero,meet(X_39,top)))))),bind(Z,$fot(join(zero,meet(X_39,join(zero,meet(X_39,top))))))]]) ).
cnf(refute_0_362,plain,
( join(complement(top),meet(X_39,join(zero,meet(X_39,top)))) != join(zero,meet(X_39,join(zero,meet(X_39,top))))
| join(meet(X_39,join(zero,meet(X_39,top))),complement(top)) = join(zero,meet(X_39,join(zero,meet(X_39,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,join(zero,meet(X_39,top))),complement(top)),join(complement(top),meet(X_39,join(zero,meet(X_39,top))))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
join(meet(X_39,join(zero,meet(X_39,top))),complement(top)) = join(zero,meet(X_39,join(zero,meet(X_39,top)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_39,join(zero,meet(X_39,top)))),join(zero,meet(X_39,join(zero,meet(X_39,top))))) )],[refute_0_359,refute_0_362]) ).
cnf(refute_0_364,plain,
( X_39 != join(meet(X_39,join(zero,meet(X_39,top))),complement(top))
| join(meet(X_39,join(zero,meet(X_39,top))),complement(top)) != join(zero,meet(X_39,join(zero,meet(X_39,top))))
| X_39 = join(zero,meet(X_39,join(zero,meet(X_39,top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(zero,meet(X_39,join(zero,meet(X_39,top))))) ),[0],$fot(join(meet(X_39,join(zero,meet(X_39,top))),complement(top)))]]) ).
cnf(refute_0_365,plain,
( X_39 != join(meet(X_39,join(zero,meet(X_39,top))),complement(top))
| X_39 = join(zero,meet(X_39,join(zero,meet(X_39,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,join(zero,meet(X_39,top))),complement(top)),join(zero,meet(X_39,join(zero,meet(X_39,top))))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
X_39 = join(zero,meet(X_39,join(zero,meet(X_39,top)))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,join(zero,meet(X_39,top))),complement(top))) )],[refute_0_355,refute_0_365]) ).
cnf(refute_0_367,plain,
join(zero,complement(complement(X_39))) = complement(complement(X_39)),
inference(subst,[],[refute_0_337:[bind(X_41,$fot(complement(X_39)))]]) ).
cnf(refute_0_368,plain,
meet(X_39,X_39) = complement(complement(X_39)),
inference(subst,[],[refute_0_288:[bind(X_25,$fot(X_39))]]) ).
cnf(refute_0_369,plain,
X_57 = join(zero,meet(top,X_57)),
inference(subst,[],[refute_0_331:[bind(X0,$fot(X_57))]]) ).
cnf(refute_0_370,plain,
meet(X_57,top) = meet(top,X_57),
inference(subst,[],[refute_0_98:[bind(X_24,$fot(X_57)),bind(X_25,$fot(top))]]) ).
cnf(refute_0_371,plain,
( meet(X_57,top) != meet(top,X_57)
| meet(top,X_57) = meet(X_57,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_57,top))),bind(Y,$fot(meet(top,X_57)))]]) ).
cnf(refute_0_372,plain,
meet(top,X_57) = meet(X_57,top),
inference(resolve,[$cnf( $equal(meet(X_57,top),meet(top,X_57)) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
( X_57 != join(zero,meet(top,X_57))
| meet(top,X_57) != meet(X_57,top)
| X_57 = join(zero,meet(X_57,top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_57,join(zero,meet(top,X_57))) ),[1,1],$fot(meet(X_57,top))]]) ).
cnf(refute_0_374,plain,
( X_57 != join(zero,meet(top,X_57))
| X_57 = join(zero,meet(X_57,top)) ),
inference(resolve,[$cnf( $equal(meet(top,X_57),meet(X_57,top)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
X_57 = join(zero,meet(X_57,top)),
inference(resolve,[$cnf( $equal(X_57,join(zero,meet(top,X_57))) )],[refute_0_369,refute_0_374]) ).
cnf(refute_0_376,plain,
( X_57 != join(zero,meet(X_57,top))
| join(zero,meet(X_57,top)) = X_57 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_57)),bind(Y,$fot(join(zero,meet(X_57,top))))]]) ).
cnf(refute_0_377,plain,
join(zero,meet(X_57,top)) = X_57,
inference(resolve,[$cnf( $equal(X_57,join(zero,meet(X_57,top))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
join(zero,meet(X_39,top)) = X_39,
inference(subst,[],[refute_0_377:[bind(X_57,$fot(X_39))]]) ).
cnf(refute_0_379,plain,
meet(X_39,join(zero,meet(X_39,top))) = meet(X_39,join(zero,meet(X_39,top))),
introduced(tautology,[refl,[$fot(meet(X_39,join(zero,meet(X_39,top))))]]) ).
cnf(refute_0_380,plain,
( join(zero,meet(X_39,top)) != X_39
| meet(X_39,join(zero,meet(X_39,top))) != meet(X_39,join(zero,meet(X_39,top)))
| meet(X_39,join(zero,meet(X_39,top))) = meet(X_39,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_39,join(zero,meet(X_39,top))),meet(X_39,join(zero,meet(X_39,top)))) ),[1,1],$fot(X_39)]]) ).
cnf(refute_0_381,plain,
( join(zero,meet(X_39,top)) != X_39
| meet(X_39,join(zero,meet(X_39,top))) = meet(X_39,X_39) ),
inference(resolve,[$cnf( $equal(meet(X_39,join(zero,meet(X_39,top))),meet(X_39,join(zero,meet(X_39,top)))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
meet(X_39,join(zero,meet(X_39,top))) = meet(X_39,X_39),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,top)),X_39) )],[refute_0_378,refute_0_381]) ).
cnf(refute_0_383,plain,
( meet(X_39,X_39) != complement(complement(X_39))
| meet(X_39,join(zero,meet(X_39,top))) != meet(X_39,X_39)
| meet(X_39,join(zero,meet(X_39,top))) = complement(complement(X_39)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(X_39,join(zero,meet(X_39,top))))),bind(Y,$fot(meet(X_39,X_39))),bind(Z,$fot(complement(complement(X_39))))]]) ).
cnf(refute_0_384,plain,
( meet(X_39,X_39) != complement(complement(X_39))
| meet(X_39,join(zero,meet(X_39,top))) = complement(complement(X_39)) ),
inference(resolve,[$cnf( $equal(meet(X_39,join(zero,meet(X_39,top))),meet(X_39,X_39)) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
meet(X_39,join(zero,meet(X_39,top))) = complement(complement(X_39)),
inference(resolve,[$cnf( $equal(meet(X_39,X_39),complement(complement(X_39))) )],[refute_0_368,refute_0_384]) ).
cnf(refute_0_386,plain,
join(zero,meet(X_39,join(zero,meet(X_39,top)))) = join(zero,meet(X_39,join(zero,meet(X_39,top)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_39,join(zero,meet(X_39,top)))))]]) ).
cnf(refute_0_387,plain,
( join(zero,meet(X_39,join(zero,meet(X_39,top)))) != join(zero,meet(X_39,join(zero,meet(X_39,top))))
| meet(X_39,join(zero,meet(X_39,top))) != complement(complement(X_39))
| join(zero,meet(X_39,join(zero,meet(X_39,top)))) = join(zero,complement(complement(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_39,join(zero,meet(X_39,top)))),join(zero,meet(X_39,join(zero,meet(X_39,top))))) ),[1,1],$fot(complement(complement(X_39)))]]) ).
cnf(refute_0_388,plain,
( meet(X_39,join(zero,meet(X_39,top))) != complement(complement(X_39))
| join(zero,meet(X_39,join(zero,meet(X_39,top)))) = join(zero,complement(complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,join(zero,meet(X_39,top)))),join(zero,meet(X_39,join(zero,meet(X_39,top))))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
join(zero,meet(X_39,join(zero,meet(X_39,top)))) = join(zero,complement(complement(X_39))),
inference(resolve,[$cnf( $equal(meet(X_39,join(zero,meet(X_39,top))),complement(complement(X_39))) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
( join(zero,complement(complement(X_39))) != complement(complement(X_39))
| join(zero,meet(X_39,join(zero,meet(X_39,top)))) != join(zero,complement(complement(X_39)))
| join(zero,meet(X_39,join(zero,meet(X_39,top)))) = complement(complement(X_39)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,meet(X_39,join(zero,meet(X_39,top)))))),bind(Y,$fot(join(zero,complement(complement(X_39))))),bind(Z,$fot(complement(complement(X_39))))]]) ).
cnf(refute_0_391,plain,
( join(zero,complement(complement(X_39))) != complement(complement(X_39))
| join(zero,meet(X_39,join(zero,meet(X_39,top)))) = complement(complement(X_39)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,join(zero,meet(X_39,top)))),join(zero,complement(complement(X_39)))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
join(zero,meet(X_39,join(zero,meet(X_39,top)))) = complement(complement(X_39)),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_39))),complement(complement(X_39))) )],[refute_0_367,refute_0_391]) ).
cnf(refute_0_393,plain,
( X_39 != join(zero,meet(X_39,join(zero,meet(X_39,top))))
| join(zero,meet(X_39,join(zero,meet(X_39,top)))) != complement(complement(X_39))
| X_39 = complement(complement(X_39)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,complement(complement(X_39))) ),[0],$fot(join(zero,meet(X_39,join(zero,meet(X_39,top)))))]]) ).
cnf(refute_0_394,plain,
( X_39 != join(zero,meet(X_39,join(zero,meet(X_39,top))))
| X_39 = complement(complement(X_39)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,join(zero,meet(X_39,top)))),complement(complement(X_39))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
X_39 = complement(complement(X_39)),
inference(resolve,[$cnf( $equal(X_39,join(zero,meet(X_39,join(zero,meet(X_39,top))))) )],[refute_0_366,refute_0_394]) ).
cnf(refute_0_396,plain,
( X_39 != complement(complement(X_39))
| complement(complement(X_39)) = X_39 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_39)),bind(Y,$fot(complement(complement(X_39))))]]) ).
cnf(refute_0_397,plain,
complement(complement(X_39)) = X_39,
inference(resolve,[$cnf( $equal(X_39,complement(complement(X_39))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
complement(complement(X1)) = X1,
inference(subst,[],[refute_0_397:[bind(X_39,$fot(X1))]]) ).
cnf(refute_0_399,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_400,plain,
( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_401,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_338,refute_0_401]) ).
cnf(refute_0_403,plain,
( complement(complement(X1)) != X1
| complement(join(zero,complement(X1))) != complement(complement(X1))
| complement(join(zero,complement(X1))) = X1 ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(join(zero,complement(X1))))),bind(Y,$fot(complement(complement(X1)))),bind(Z,$fot(X1))]]) ).
cnf(refute_0_404,plain,
( complement(complement(X1)) != X1
| complement(join(zero,complement(X1))) = X1 ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
complement(join(zero,complement(X1))) = X1,
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_398,refute_0_404]) ).
cnf(refute_0_406,plain,
( complement(join(zero,complement(X1))) != X1
| meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[1],$fot(X1)]]) ).
cnf(refute_0_407,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),X1) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
meet(top,X1) = X1,
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_60,refute_0_407]) ).
cnf(refute_0_409,plain,
join(meet(top,X1),X_40) = join(meet(top,X1),X_40),
introduced(tautology,[refl,[$fot(join(meet(top,X1),X_40))]]) ).
cnf(refute_0_410,plain,
( join(meet(top,X1),X_40) != join(meet(top,X1),X_40)
| meet(top,X1) != X1
| join(meet(top,X1),X_40) = join(X1,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),X_40),join(meet(top,X1),X_40)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_411,plain,
( meet(top,X1) != X1
| join(meet(top,X1),X_40) = join(X1,X_40) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_40),join(meet(top,X1),X_40)) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
join(meet(top,X1),X_40) = join(X1,X_40),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_408,refute_0_411]) ).
cnf(refute_0_413,plain,
complement(join(meet(top,X1),X_40)) = complement(join(meet(top,X1),X_40)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X1),X_40)))]]) ).
cnf(refute_0_414,plain,
( complement(join(meet(top,X1),X_40)) != complement(join(meet(top,X1),X_40))
| join(meet(top,X1),X_40) != join(X1,X_40)
| complement(join(meet(top,X1),X_40)) = complement(join(X1,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X1),X_40)),complement(join(meet(top,X1),X_40))) ),[1,0],$fot(join(X1,X_40))]]) ).
cnf(refute_0_415,plain,
( join(meet(top,X1),X_40) != join(X1,X_40)
| complement(join(meet(top,X1),X_40)) = complement(join(X1,X_40)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_40)),complement(join(meet(top,X1),X_40))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
complement(join(meet(top,X1),X_40)) = complement(join(X1,X_40)),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_40),join(X1,X_40)) )],[refute_0_412,refute_0_415]) ).
cnf(refute_0_417,plain,
join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) = join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)))]]) ).
cnf(refute_0_418,plain,
( complement(join(meet(top,X1),X_40)) != complement(join(X1,X_40))
| join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) != join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))
| join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) = join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)),join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))) ),[1,0],$fot(complement(join(X1,X_40)))]]) ).
cnf(refute_0_419,plain,
( complement(join(meet(top,X1),X_40)) != complement(join(X1,X_40))
| join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) = join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)),join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) = join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_40)),complement(join(X1,X_40))) )],[refute_0_416,refute_0_419]) ).
cnf(refute_0_421,plain,
( join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)) != join(complement(join(X1,X_40)),meet(complement(X1),X_40))
| join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) != join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40))
| join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) = join(complement(join(X1,X_40)),meet(complement(X1),X_40)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)))),bind(Y,$fot(join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)))),bind(Z,$fot(join(complement(join(X1,X_40)),meet(complement(X1),X_40))))]]) ).
cnf(refute_0_422,plain,
( join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)) != join(complement(join(X1,X_40)),meet(complement(X1),X_40))
| join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) = join(complement(join(X1,X_40)),meet(complement(X1),X_40)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)),join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) = join(complement(join(X1,X_40)),meet(complement(X1),X_40)),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_40)),meet(join(zero,complement(X1)),X_40)),join(complement(join(X1,X_40)),meet(complement(X1),X_40))) )],[refute_0_348,refute_0_422]) ).
cnf(refute_0_424,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))
| join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)) != join(complement(join(X1,X_40)),meet(complement(X1),X_40))
| complement(X1) = join(complement(join(X1,X_40)),meet(complement(X1),X_40)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),join(complement(join(X1,X_40)),meet(complement(X1),X_40))) ),[0],$fot(join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)))]]) ).
cnf(refute_0_425,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))
| complement(X1) = join(complement(join(X1,X_40)),meet(complement(X1),X_40)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40)),join(complement(join(X1,X_40)),meet(complement(X1),X_40))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))
| complement(X1) = join(complement(join(X1,X_40)),meet(complement(X1),X_40)) ),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))) )],[refute_0_340,refute_0_425]) ).
cnf(refute_0_427,plain,
complement(X1) = join(complement(join(X1,X_40)),meet(complement(X1),X_40)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_40)),meet(join(zero,complement(X1)),X_40))) )],[refute_0_69,refute_0_426]) ).
cnf(refute_0_428,plain,
complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))),
inference(subst,[],[refute_0_427:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_40,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_429,plain,
X_39 = join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(join(complement(X_39),join(complement(X_25),meet(X_39,X_25))))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_39)),bind(X1,$fot(join(complement(X_25),meet(X_39,X_25))))]]) ).
cnf(refute_0_430,plain,
top = join(complement(X_39),join(complement(X_25),meet(X_39,X_25))),
inference(subst,[],[refute_0_83:[bind(X_24,$fot(X_39))]]) ).
cnf(refute_0_431,plain,
( top != join(complement(X_39),join(complement(X_25),meet(X_39,X_25)))
| join(complement(X_39),join(complement(X_25),meet(X_39,X_25))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_39),join(complement(X_25),meet(X_39,X_25)))))]]) ).
cnf(refute_0_432,plain,
join(complement(X_39),join(complement(X_25),meet(X_39,X_25))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_39),join(complement(X_25),meet(X_39,X_25)))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
( X_39 != join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(join(complement(X_39),join(complement(X_25),meet(X_39,X_25)))))
| join(complement(X_39),join(complement(X_25),meet(X_39,X_25))) != top
| X_39 = join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(join(complement(X_39),join(complement(X_25),meet(X_39,X_25)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_434,plain,
( X_39 != join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(join(complement(X_39),join(complement(X_25),meet(X_39,X_25)))))
| X_39 = join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),join(complement(X_25),meet(X_39,X_25))),top) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
X_39 = join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(join(complement(X_39),join(complement(X_25),meet(X_39,X_25)))))) )],[refute_0_429,refute_0_434]) ).
cnf(refute_0_436,plain,
join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))) = join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))))]]) ).
cnf(refute_0_437,plain,
( complement(top) != zero
| join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))) != join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25))))
| join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))) = join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))),join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_438,plain,
( complement(top) != zero
| join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))) = join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))),join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25))))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))) = join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_438]) ).
cnf(refute_0_440,plain,
join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)) = join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_39,join(complement(X_25),meet(X_39,X_25)))))]]) ).
cnf(refute_0_441,plain,
( join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))) != join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25))))
| join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)) != join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25))))
| join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)) = join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))))),bind(Z,$fot(join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25))))))]]) ).
cnf(refute_0_442,plain,
( join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))) != join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25))))
| join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)) = join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)),join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25))))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)) = join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_39,join(complement(X_25),meet(X_39,X_25)))),join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25))))) )],[refute_0_439,refute_0_442]) ).
cnf(refute_0_444,plain,
( X_39 != join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top))
| join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)) != join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25))))
| X_39 = join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25))))) ),[0],$fot(join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)))]]) ).
cnf(refute_0_445,plain,
( X_39 != join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top))
| X_39 = join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top)),join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25))))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
X_39 = join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,join(complement(X_25),meet(X_39,X_25))),complement(top))) )],[refute_0_435,refute_0_445]) ).
cnf(refute_0_447,plain,
complement(complement(X_25)) = X_25,
inference(subst,[],[refute_0_397:[bind(X_39,$fot(X_25))]]) ).
cnf(refute_0_448,plain,
( complement(complement(X_25)) != X_25
| meet(X_25,X_25) != complement(complement(X_25))
| meet(X_25,X_25) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_25,X_25),complement(complement(X_25))) ),[1],$fot(X_25)]]) ).
cnf(refute_0_449,plain,
( meet(X_25,X_25) != complement(complement(X_25))
| meet(X_25,X_25) = X_25 ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
meet(X_25,X_25) = X_25,
inference(resolve,[$cnf( $equal(meet(X_25,X_25),complement(complement(X_25))) )],[refute_0_288,refute_0_449]) ).
cnf(refute_0_451,plain,
meet(X_39,X_39) = X_39,
inference(subst,[],[refute_0_450:[bind(X_25,$fot(X_39))]]) ).
cnf(refute_0_452,plain,
meet(X_39,complement(complement(X_39))) = meet(X_39,complement(complement(X_39))),
introduced(tautology,[refl,[$fot(meet(X_39,complement(complement(X_39))))]]) ).
cnf(refute_0_453,plain,
( complement(complement(X_39)) != X_39
| meet(X_39,complement(complement(X_39))) != meet(X_39,complement(complement(X_39)))
| meet(X_39,complement(complement(X_39))) = meet(X_39,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_39,complement(complement(X_39))),meet(X_39,complement(complement(X_39)))) ),[1,1],$fot(X_39)]]) ).
cnf(refute_0_454,plain,
( complement(complement(X_39)) != X_39
| meet(X_39,complement(complement(X_39))) = meet(X_39,X_39) ),
inference(resolve,[$cnf( $equal(meet(X_39,complement(complement(X_39))),meet(X_39,complement(complement(X_39)))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
meet(X_39,complement(complement(X_39))) = meet(X_39,X_39),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_397,refute_0_454]) ).
cnf(refute_0_456,plain,
( meet(X_39,X_39) != X_39
| meet(X_39,complement(complement(X_39))) != meet(X_39,X_39)
| meet(X_39,complement(complement(X_39))) = X_39 ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(X_39,complement(complement(X_39))))),bind(Y,$fot(meet(X_39,X_39))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_457,plain,
( meet(X_39,X_39) != X_39
| meet(X_39,complement(complement(X_39))) = X_39 ),
inference(resolve,[$cnf( $equal(meet(X_39,complement(complement(X_39))),meet(X_39,X_39)) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
meet(X_39,complement(complement(X_39))) = X_39,
inference(resolve,[$cnf( $equal(meet(X_39,X_39),X_39) )],[refute_0_451,refute_0_457]) ).
cnf(refute_0_459,plain,
join(zero,meet(X_39,complement(complement(X_39)))) = join(zero,meet(X_39,complement(complement(X_39)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_39,complement(complement(X_39)))))]]) ).
cnf(refute_0_460,plain,
( join(zero,meet(X_39,complement(complement(X_39)))) != join(zero,meet(X_39,complement(complement(X_39))))
| meet(X_39,complement(complement(X_39))) != X_39
| join(zero,meet(X_39,complement(complement(X_39)))) = join(zero,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_39,complement(complement(X_39)))),join(zero,meet(X_39,complement(complement(X_39))))) ),[1,1],$fot(X_39)]]) ).
cnf(refute_0_461,plain,
( meet(X_39,complement(complement(X_39))) != X_39
| join(zero,meet(X_39,complement(complement(X_39)))) = join(zero,X_39) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,complement(complement(X_39)))),join(zero,meet(X_39,complement(complement(X_39))))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
join(zero,meet(X_39,complement(complement(X_39)))) = join(zero,X_39),
inference(resolve,[$cnf( $equal(meet(X_39,complement(complement(X_39))),X_39) )],[refute_0_458,refute_0_461]) ).
cnf(refute_0_463,plain,
( X_39 != join(zero,meet(X_39,complement(complement(X_39))))
| join(zero,meet(X_39,complement(complement(X_39)))) != join(zero,X_39)
| X_39 = join(zero,X_39) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(zero,X_39)) ),[0],$fot(join(zero,meet(X_39,complement(complement(X_39)))))]]) ).
cnf(refute_0_464,plain,
( X_39 != join(zero,meet(X_39,complement(complement(X_39))))
| X_39 = join(zero,X_39) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,complement(complement(X_39)))),join(zero,X_39)) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
X_39 = join(zero,X_39),
inference(resolve,[$cnf( $equal(X_39,join(zero,meet(X_39,complement(complement(X_39))))) )],[refute_0_140,refute_0_464]) ).
cnf(refute_0_466,plain,
( X_39 != join(zero,X_39)
| join(zero,X_39) = X_39 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_39)),bind(Y,$fot(join(zero,X_39)))]]) ).
cnf(refute_0_467,plain,
join(zero,X_39) = X_39,
inference(resolve,[$cnf( $equal(X_39,join(zero,X_39)) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))) = meet(X_39,join(complement(X_25),meet(X_39,X_25))),
inference(subst,[],[refute_0_467:[bind(X_39,$fot(meet(X_39,join(complement(X_25),meet(X_39,X_25)))))]]) ).
cnf(refute_0_469,plain,
( X_39 != join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25))))
| join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))) != meet(X_39,join(complement(X_25),meet(X_39,X_25)))
| X_39 = meet(X_39,join(complement(X_25),meet(X_39,X_25))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,meet(X_39,join(complement(X_25),meet(X_39,X_25)))) ),[0],$fot(join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))))]]) ).
cnf(refute_0_470,plain,
( X_39 != join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25))))
| X_39 = meet(X_39,join(complement(X_25),meet(X_39,X_25))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25)))),meet(X_39,join(complement(X_25),meet(X_39,X_25)))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
X_39 = meet(X_39,join(complement(X_25),meet(X_39,X_25))),
inference(resolve,[$cnf( $equal(X_39,join(zero,meet(X_39,join(complement(X_25),meet(X_39,X_25))))) )],[refute_0_446,refute_0_470]) ).
cnf(refute_0_472,plain,
X_81 = meet(X_81,join(complement(X_80),meet(X_81,X_80))),
inference(subst,[],[refute_0_471:[bind(X_25,$fot(X_80)),bind(X_39,$fot(X_81))]]) ).
cnf(refute_0_473,plain,
meet(X_80,X_81) = meet(X_81,X_80),
inference(subst,[],[refute_0_98:[bind(X_24,$fot(X_80)),bind(X_25,$fot(X_81))]]) ).
cnf(refute_0_474,plain,
( meet(X_80,X_81) != meet(X_81,X_80)
| meet(X_81,X_80) = meet(X_80,X_81) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_80,X_81))),bind(Y,$fot(meet(X_81,X_80)))]]) ).
cnf(refute_0_475,plain,
meet(X_81,X_80) = meet(X_80,X_81),
inference(resolve,[$cnf( $equal(meet(X_80,X_81),meet(X_81,X_80)) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
( X_81 != meet(X_81,join(complement(X_80),meet(X_81,X_80)))
| meet(X_81,X_80) != meet(X_80,X_81)
| X_81 = meet(X_81,join(complement(X_80),meet(X_80,X_81))) ),
introduced(tautology,[equality,[$cnf( $equal(X_81,meet(X_81,join(complement(X_80),meet(X_81,X_80)))) ),[1,1,1],$fot(meet(X_80,X_81))]]) ).
cnf(refute_0_477,plain,
( X_81 != meet(X_81,join(complement(X_80),meet(X_81,X_80)))
| X_81 = meet(X_81,join(complement(X_80),meet(X_80,X_81))) ),
inference(resolve,[$cnf( $equal(meet(X_81,X_80),meet(X_80,X_81)) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
X_81 = meet(X_81,join(complement(X_80),meet(X_80,X_81))),
inference(resolve,[$cnf( $equal(X_81,meet(X_81,join(complement(X_80),meet(X_81,X_80)))) )],[refute_0_472,refute_0_477]) ).
cnf(refute_0_479,plain,
composition(complement(skolemFOFtoCNF_X0),top) = meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_478:[bind(X_80,$fot(skolemFOFtoCNF_X0)),bind(X_81,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_480,plain,
X_39 = join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(join(complement(X_39),converse(complement(converse(complement(X_39))))))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_39)),bind(X1,$fot(converse(complement(converse(complement(X_39))))))]]) ).
cnf(refute_0_481,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_482,plain,
converse(join(converse(X0),X_7)) = join(converse(converse(X0)),converse(X_7)),
inference(subst,[],[refute_0_481:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_483,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_7)) != join(converse(converse(X0)),converse(X_7))
| converse(join(converse(X0),X_7)) = join(X0,converse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_7)),join(converse(converse(X0)),converse(X_7))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_484,plain,
( converse(join(converse(X0),X_7)) != join(converse(converse(X0)),converse(X_7))
| converse(join(converse(X0),X_7)) = join(X0,converse(X_7)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_164,refute_0_483]) ).
cnf(refute_0_485,plain,
converse(join(converse(X0),X_7)) = join(X0,converse(X_7)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_7)),join(converse(converse(X0)),converse(X_7))) )],[refute_0_482,refute_0_484]) ).
cnf(refute_0_486,plain,
converse(join(converse(X_8),complement(converse(X_8)))) = join(X_8,converse(complement(converse(X_8)))),
inference(subst,[],[refute_0_485:[bind(X0,$fot(X_8)),bind(X_7,$fot(complement(converse(X_8))))]]) ).
cnf(refute_0_487,plain,
top = join(converse(X_8),complement(converse(X_8))),
inference(subst,[],[refute_0_37:[bind(X0,$fot(converse(X_8)))]]) ).
cnf(refute_0_488,plain,
( top != join(converse(X_8),complement(converse(X_8)))
| join(converse(X_8),complement(converse(X_8))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_8),complement(converse(X_8)))))]]) ).
cnf(refute_0_489,plain,
join(converse(X_8),complement(converse(X_8))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_8),complement(converse(X_8)))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
( converse(join(converse(X_8),complement(converse(X_8)))) != join(X_8,converse(complement(converse(X_8))))
| join(converse(X_8),complement(converse(X_8))) != top
| converse(top) = join(X_8,converse(complement(converse(X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_8),complement(converse(X_8)))),join(X_8,converse(complement(converse(X_8))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_491,plain,
( converse(join(converse(X_8),complement(converse(X_8)))) != join(X_8,converse(complement(converse(X_8))))
| converse(top) = join(X_8,converse(complement(converse(X_8)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_8),complement(converse(X_8))),top) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
converse(top) = join(X_8,converse(complement(converse(X_8)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_8),complement(converse(X_8)))),join(X_8,converse(complement(converse(X_8))))) )],[refute_0_486,refute_0_491]) ).
cnf(refute_0_493,plain,
converse(top) = join(complement(X_39),converse(complement(converse(complement(X_39))))),
inference(subst,[],[refute_0_492:[bind(X_8,$fot(complement(X_39)))]]) ).
cnf(refute_0_494,plain,
( converse(top) != join(complement(X_39),converse(complement(converse(complement(X_39)))))
| join(complement(X_39),converse(complement(converse(complement(X_39))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_39),converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_495,plain,
join(complement(X_39),converse(complement(converse(complement(X_39))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_39),converse(complement(converse(complement(X_39)))))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
( X_39 != join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(join(complement(X_39),converse(complement(converse(complement(X_39)))))))
| join(complement(X_39),converse(complement(converse(complement(X_39))))) != converse(top)
| X_39 = join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(join(complement(X_39),converse(complement(converse(complement(X_39)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_497,plain,
( X_39 != join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(join(complement(X_39),converse(complement(converse(complement(X_39)))))))
| X_39 = join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),converse(complement(converse(complement(X_39))))),converse(top)) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
X_39 = join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(join(complement(X_39),converse(complement(converse(complement(X_39)))))))) )],[refute_0_480,refute_0_497]) ).
cnf(refute_0_499,plain,
join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))) = join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_39,converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_500,plain,
( X_39 != join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top)))
| join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))) != join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))
| X_39 = join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))) ),[0],$fot(join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))))]]) ).
cnf(refute_0_501,plain,
( X_39 != join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top)))
| X_39 = join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))),join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
X_39 = join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top)))) )],[refute_0_498,refute_0_501]) ).
cnf(refute_0_503,plain,
join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))) = meet(X_39,converse(complement(converse(complement(X_39))))),
inference(subst,[],[refute_0_467:[bind(X_39,$fot(meet(X_39,converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_504,plain,
converse(top) = join(zero,meet(top,converse(top))),
inference(subst,[],[refute_0_331:[bind(X0,$fot(converse(top)))]]) ).
cnf(refute_0_505,plain,
meet(top,converse(top)) = complement(join(zero,complement(converse(top)))),
inference(subst,[],[refute_0_60:[bind(X1,$fot(converse(top)))]]) ).
cnf(refute_0_506,plain,
zero = join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero)))))),
inference(subst,[],[refute_0_502:[bind(X_39,$fot(zero))]]) ).
cnf(refute_0_507,plain,
( complement(zero) != top
| zero != join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))
| zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).
cnf(refute_0_508,plain,
( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))
| zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_279,refute_0_507]) ).
cnf(refute_0_509,plain,
zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))) )],[refute_0_506,refute_0_508]) ).
cnf(refute_0_510,plain,
join(complement(converse(top)),zero) = join(zero,complement(converse(top))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(converse(top))))]]) ).
cnf(refute_0_511,plain,
meet(zero,X1) = complement(join(complement(zero),complement(X1))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_512,plain,
( complement(zero) != top
| meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_513,plain,
( meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_279,refute_0_512]) ).
cnf(refute_0_514,plain,
meet(zero,X1) = complement(join(top,complement(X1))),
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) )],[refute_0_511,refute_0_513]) ).
cnf(refute_0_515,plain,
join(top,complement(X1)) = top,
inference(subst,[],[refute_0_306:[bind(X_31,$fot(X1))]]) ).
cnf(refute_0_516,plain,
complement(join(top,complement(X1))) = complement(join(top,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(top,complement(X1))))]]) ).
cnf(refute_0_517,plain,
( complement(join(top,complement(X1))) != complement(join(top,complement(X1)))
| join(top,complement(X1)) != top
| complement(join(top,complement(X1))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(X1))),complement(join(top,complement(X1)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_518,plain,
( join(top,complement(X1)) != top
| complement(join(top,complement(X1))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),complement(join(top,complement(X1)))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
complement(join(top,complement(X1))) = complement(top),
inference(resolve,[$cnf( $equal(join(top,complement(X1)),top) )],[refute_0_515,refute_0_518]) ).
cnf(refute_0_520,plain,
( complement(join(top,complement(X1))) != complement(top)
| complement(top) != zero
| complement(join(top,complement(X1))) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(join(top,complement(X1))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_521,plain,
( complement(top) != zero
| complement(join(top,complement(X1))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),complement(top)) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
complement(join(top,complement(X1))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_521]) ).
cnf(refute_0_523,plain,
( complement(join(top,complement(X1))) != zero
| meet(zero,X1) != complement(join(top,complement(X1)))
| meet(zero,X1) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_524,plain,
( meet(zero,X1) != complement(join(top,complement(X1)))
| meet(zero,X1) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),zero) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
meet(zero,X1) = zero,
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) )],[refute_0_514,refute_0_524]) ).
cnf(refute_0_526,plain,
meet(zero,converse(complement(converse(top)))) = zero,
inference(subst,[],[refute_0_525:[bind(X1,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_527,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_528,plain,
( join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| meet(zero,converse(complement(converse(top)))) != zero
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_529,plain,
( meet(zero,converse(complement(converse(top)))) != zero
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),zero),
inference(resolve,[$cnf( $equal(meet(zero,converse(complement(converse(top)))),zero) )],[refute_0_526,refute_0_529]) ).
cnf(refute_0_531,plain,
( join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != join(complement(converse(top)),zero)
| join(complement(converse(top)),zero) != join(zero,complement(converse(top)))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(zero,complement(converse(top))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))),bind(Y,$fot(join(complement(converse(top)),zero))),bind(Z,$fot(join(zero,complement(converse(top)))))]]) ).
cnf(refute_0_532,plain,
( join(complement(converse(top)),zero) != join(zero,complement(converse(top)))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(zero,complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(complement(converse(top)),zero)) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(zero,complement(converse(top))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),zero),join(zero,complement(converse(top)))) )],[refute_0_510,refute_0_532]) ).
cnf(refute_0_534,plain,
( join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != join(zero,complement(converse(top)))
| zero != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| zero = join(zero,complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) ),[1],$fot(join(zero,complement(converse(top))))]]) ).
cnf(refute_0_535,plain,
( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| zero = join(zero,complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(zero,complement(converse(top)))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
zero = join(zero,complement(converse(top))),
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_0_509,refute_0_535]) ).
cnf(refute_0_537,plain,
( zero != join(zero,complement(converse(top)))
| join(zero,complement(converse(top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,complement(converse(top)))))]]) ).
cnf(refute_0_538,plain,
join(zero,complement(converse(top))) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,complement(converse(top)))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
( join(zero,complement(converse(top))) != zero
| meet(top,converse(top)) != complement(join(zero,complement(converse(top))))
| meet(top,converse(top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,converse(top)),complement(join(zero,complement(converse(top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_540,plain,
( meet(top,converse(top)) != complement(join(zero,complement(converse(top))))
| meet(top,converse(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(top))),zero) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
meet(top,converse(top)) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,converse(top)),complement(join(zero,complement(converse(top))))) )],[refute_0_505,refute_0_540]) ).
cnf(refute_0_542,plain,
( complement(zero) != top
| meet(top,converse(top)) != complement(zero)
| meet(top,converse(top)) = top ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,converse(top)),complement(zero)) ),[1],$fot(top)]]) ).
cnf(refute_0_543,plain,
( meet(top,converse(top)) != complement(zero)
| meet(top,converse(top)) = top ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_279,refute_0_542]) ).
cnf(refute_0_544,plain,
meet(top,converse(top)) = top,
inference(resolve,[$cnf( $equal(meet(top,converse(top)),complement(zero)) )],[refute_0_541,refute_0_543]) ).
cnf(refute_0_545,plain,
( converse(top) != join(zero,meet(top,converse(top)))
| meet(top,converse(top)) != top
| converse(top) = join(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(zero,meet(top,converse(top)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_546,plain,
( converse(top) != join(zero,meet(top,converse(top)))
| converse(top) = join(zero,top) ),
inference(resolve,[$cnf( $equal(meet(top,converse(top)),top) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
converse(top) = join(zero,top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,meet(top,converse(top)))) )],[refute_0_504,refute_0_546]) ).
cnf(refute_0_548,plain,
top = join(top,complement(top)),
inference(subst,[],[refute_0_37:[bind(X0,$fot(top))]]) ).
cnf(refute_0_549,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_550,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_549]) ).
cnf(refute_0_551,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_548,refute_0_550]) ).
cnf(refute_0_552,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_553,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
join(zero,top) = join(top,zero),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_555,plain,
( join(top,zero) != top
| join(zero,top) != join(top,zero)
| join(zero,top) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,top))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_556,plain,
( join(top,zero) != top
| join(zero,top) = top ),
inference(resolve,[$cnf( $equal(join(zero,top),join(top,zero)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
join(zero,top) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_553,refute_0_556]) ).
cnf(refute_0_558,plain,
( converse(top) != join(zero,top)
| join(zero,top) != top
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),top) ),[0],$fot(join(zero,top))]]) ).
cnf(refute_0_559,plain,
( converse(top) != join(zero,top)
| converse(top) = top ),
inference(resolve,[$cnf( $equal(join(zero,top),top) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(converse(top),join(zero,top)) )],[refute_0_547,refute_0_559]) ).
cnf(refute_0_561,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_562,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_563,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_560,refute_0_563]) ).
cnf(refute_0_565,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_566,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_566]) ).
cnf(refute_0_568,plain,
join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_569,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) != join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))
| join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_570,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_567,refute_0_570]) ).
cnf(refute_0_572,plain,
( join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) != join(zero,meet(X_39,converse(complement(converse(complement(X_39))))))
| join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))) != meet(X_39,converse(complement(converse(complement(X_39)))))
| join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = meet(X_39,converse(complement(converse(complement(X_39))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))))),bind(Y,$fot(join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))))),bind(Z,$fot(meet(X_39,converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_573,plain,
( join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))) != meet(X_39,converse(complement(converse(complement(X_39)))))
| join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = meet(X_39,converse(complement(converse(complement(X_39))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),join(zero,meet(X_39,converse(complement(converse(complement(X_39))))))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = meet(X_39,converse(complement(converse(complement(X_39))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))),meet(X_39,converse(complement(converse(complement(X_39)))))) )],[refute_0_503,refute_0_573]) ).
cnf(refute_0_575,plain,
( X_39 != join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))
| join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) != meet(X_39,converse(complement(converse(complement(X_39)))))
| X_39 = meet(X_39,converse(complement(converse(complement(X_39))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,meet(X_39,converse(complement(converse(complement(X_39)))))) ),[0],$fot(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_576,plain,
( X_39 != join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))
| X_39 = meet(X_39,converse(complement(converse(complement(X_39))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),meet(X_39,converse(complement(converse(complement(X_39)))))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
X_39 = meet(X_39,converse(complement(converse(complement(X_39))))),
inference(resolve,[$cnf( $equal(X_39,join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))) )],[refute_0_502,refute_0_576]) ).
cnf(refute_0_578,plain,
meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))))),
inference(subst,[],[refute_0_577:[bind(X_39,$fot(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_579,plain,
join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),X_142)) = join(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),X_142),
inference(subst,[],[refute_0_77:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(X2,$fot(X_142))]]) ).
cnf(refute_0_580,plain,
join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_160:[bind(X0,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_581,plain,
converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_162:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_582,plain,
join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))) = complement(top),
inference(subst,[],[refute_0_160:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(top))]]) ).
cnf(refute_0_583,plain,
composition(skolemFOFtoCNF_X0,top) = skolemFOFtoCNF_X0,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_584,plain,
( composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))) != complement(top)
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))),complement(top)) ),[0,1,1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_585,plain,
( join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))) != complement(top)
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))),complement(top)) )],[refute_0_582,refute_0_585]) ).
cnf(refute_0_587,plain,
join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_588,plain,
( complement(top) != zero
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_589,plain,
( complement(top) != zero
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_589]) ).
cnf(refute_0_591,plain,
( join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(top)) ),[0],$fot(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_592,plain,
( join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
( complement(top) != zero
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_594,plain,
( join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_593]) ).
cnf(refute_0_595,plain,
( join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(top)) )],[refute_0_592,refute_0_594]) ).
cnf(refute_0_596,plain,
join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(top)) )],[refute_0_586,refute_0_595]) ).
cnf(refute_0_597,plain,
join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_467:[bind(X_39,$fot(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_598,plain,
( join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != zero
| composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),zero) ),[0],$fot(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_599,plain,
( join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != zero
| composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),zero) )],[refute_0_596,refute_0_599]) ).
cnf(refute_0_601,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != zero
| converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
| converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_602,plain,
( converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
| converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),zero) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_581,refute_0_602]) ).
cnf(refute_0_604,plain,
converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_167:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_12,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_605,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_606,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_162,refute_0_605]) ).
cnf(refute_0_607,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) = converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_606:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_608,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) != converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
| converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_609,plain,
( converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))),converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_607,refute_0_608]) ).
cnf(refute_0_610,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_604,refute_0_609]) ).
cnf(refute_0_611,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| converse(zero) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
| converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) ),[1],$fot(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_612,plain,
( converse(zero) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
| converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_603,refute_0_612]) ).
cnf(refute_0_614,plain,
zero = meet(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_29:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_615,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[refute_0_164:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_616,plain,
top = join(meet(top,X_40),complement(join(complement(top),X_40))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(top)),bind(X1,$fot(X_40))]]) ).
cnf(refute_0_617,plain,
( complement(top) != zero
| top != join(meet(top,X_40),complement(join(complement(top),X_40)))
| top = join(meet(top,X_40),complement(join(zero,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_40),complement(join(complement(top),X_40)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_618,plain,
( top != join(meet(top,X_40),complement(join(complement(top),X_40)))
| top = join(meet(top,X_40),complement(join(zero,X_40))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_617]) ).
cnf(refute_0_619,plain,
top = join(meet(top,X_40),complement(join(zero,X_40))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_40),complement(join(complement(top),X_40)))) )],[refute_0_616,refute_0_618]) ).
cnf(refute_0_620,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_619:[bind(X_40,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_621,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_492:[bind(X_8,$fot(zero))]]) ).
cnf(refute_0_622,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_623,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
( join(zero,converse(complement(converse(zero)))) != converse(top)
| top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_625,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) )],[refute_0_620,refute_0_625]) ).
cnf(refute_0_627,plain,
join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_628,plain,
( join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) ),[1],$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_629,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) )],[refute_0_626,refute_0_629]) ).
cnf(refute_0_631,plain,
join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(subst,[],[refute_0_467:[bind(X_39,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_632,plain,
meet(top,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(subst,[],[refute_0_408:[bind(X1,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_633,plain,
join(zero,meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))),
introduced(tautology,[refl,[$fot(join(zero,meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_634,plain,
( join(zero,meet(top,converse(complement(converse(zero))))) != join(zero,meet(top,converse(complement(converse(zero)))))
| meet(top,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| join(zero,meet(top,converse(complement(converse(zero))))) = join(zero,converse(complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),join(zero,meet(top,converse(complement(converse(zero)))))) ),[1,1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_635,plain,
( meet(top,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| join(zero,meet(top,converse(complement(converse(zero))))) = join(zero,converse(complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
join(zero,meet(top,converse(complement(converse(zero))))) = join(zero,converse(complement(converse(zero)))),
inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_632,refute_0_635]) ).
cnf(refute_0_637,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_638,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_639,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_567,refute_0_639]) ).
cnf(refute_0_641,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(zero,meet(top,converse(complement(converse(zero)))))
| join(zero,meet(top,converse(complement(converse(zero))))) != join(zero,converse(complement(converse(zero))))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,converse(complement(converse(zero)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))),bind(Y,$fot(join(zero,meet(top,converse(complement(converse(zero))))))),bind(Z,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_642,plain,
( join(zero,meet(top,converse(complement(converse(zero))))) != join(zero,converse(complement(converse(zero))))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,converse(complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,converse(complement(converse(zero)))),
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),join(zero,converse(complement(converse(zero))))) )],[refute_0_636,refute_0_642]) ).
cnf(refute_0_644,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))),bind(Y,$fot(join(zero,converse(complement(converse(zero)))))),bind(Z,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_645,plain,
( join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(zero,converse(complement(converse(zero))))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_631,refute_0_645]) ).
cnf(refute_0_647,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != converse(complement(converse(zero)))
| top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_648,plain,
( top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),converse(complement(converse(zero)))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
top = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_630,refute_0_648]) ).
cnf(refute_0_650,plain,
( top != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_651,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,converse(complement(converse(zero)))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
( converse(complement(converse(zero))) != top
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_653,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
converse(top) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_615,refute_0_653]) ).
cnf(refute_0_655,plain,
( converse(top) != complement(converse(zero))
| converse(top) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_656,plain,
( converse(top) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_560,refute_0_655]) ).
cnf(refute_0_657,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(top),complement(converse(zero))) )],[refute_0_654,refute_0_656]) ).
cnf(refute_0_658,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_659,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
( complement(converse(zero)) != top
| zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_661,plain,
( zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
zero = meet(converse(zero),top),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_614,refute_0_661]) ).
cnf(refute_0_663,plain,
join(zero,meet(X_57,top)) = meet(X_57,top),
inference(subst,[],[refute_0_467:[bind(X_39,$fot(meet(X_57,top)))]]) ).
cnf(refute_0_664,plain,
( X_57 != join(zero,meet(X_57,top))
| join(zero,meet(X_57,top)) != meet(X_57,top)
| X_57 = meet(X_57,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_57,meet(X_57,top)) ),[0],$fot(join(zero,meet(X_57,top)))]]) ).
cnf(refute_0_665,plain,
( X_57 != join(zero,meet(X_57,top))
| X_57 = meet(X_57,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_57,top)),meet(X_57,top)) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
X_57 = meet(X_57,top),
inference(resolve,[$cnf( $equal(X_57,join(zero,meet(X_57,top))) )],[refute_0_375,refute_0_665]) ).
cnf(refute_0_667,plain,
( X_57 != meet(X_57,top)
| meet(X_57,top) = X_57 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_57)),bind(Y,$fot(meet(X_57,top)))]]) ).
cnf(refute_0_668,plain,
meet(X_57,top) = X_57,
inference(resolve,[$cnf( $equal(X_57,meet(X_57,top)) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
meet(converse(zero),top) = converse(zero),
inference(subst,[],[refute_0_668:[bind(X_57,$fot(converse(zero)))]]) ).
cnf(refute_0_670,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_671,plain,
( zero != meet(converse(zero),top)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_662,refute_0_671]) ).
cnf(refute_0_673,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_0_674,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
( converse(zero) != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| converse(zero) != zero
| zero = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),[0],$fot(zero)]]) ).
cnf(refute_0_676,plain,
( converse(zero) != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| zero = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
zero = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_613,refute_0_676]) ).
cnf(refute_0_678,plain,
( zero != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_679,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != zero
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_681,plain,
( join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),zero) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_580,refute_0_681]) ).
cnf(refute_0_683,plain,
composition(complement(skolemFOFtoCNF_X0),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),complement(zero)))]]) ).
cnf(refute_0_684,plain,
( complement(zero) != top
| composition(complement(skolemFOFtoCNF_X0),complement(zero)) != composition(complement(skolemFOFtoCNF_X0),complement(zero))
| composition(complement(skolemFOFtoCNF_X0),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(zero)),composition(complement(skolemFOFtoCNF_X0),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_685,plain,
( complement(zero) != top
| composition(complement(skolemFOFtoCNF_X0),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(zero)),composition(complement(skolemFOFtoCNF_X0),complement(zero))) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
composition(complement(skolemFOFtoCNF_X0),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_279,refute_0_685]) ).
cnf(refute_0_687,plain,
converse(converse(complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_164:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_688,plain,
composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)))]]) ).
cnf(refute_0_689,plain,
( composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))
| converse(converse(complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_690,plain,
( converse(converse(complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_687,refute_0_690]) ).
cnf(refute_0_692,plain,
( composition(complement(skolemFOFtoCNF_X0),complement(zero)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(complement(skolemFOFtoCNF_X0),complement(zero))
| composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),complement(zero)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_693,plain,
( composition(complement(skolemFOFtoCNF_X0),complement(zero)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)),composition(complement(skolemFOFtoCNF_X0),complement(zero))) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(zero)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_686,refute_0_693]) ).
cnf(refute_0_695,plain,
join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))))]]) ).
cnf(refute_0_696,plain,
( composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(complement(skolemFOFtoCNF_X0),top)
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) != join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)))
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))),join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_697,plain,
( composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(complement(skolemFOFtoCNF_X0),top)
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))),join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)))) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_694,refute_0_697]) ).
cnf(refute_0_699,plain,
( join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) != join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))
| join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))),complement(skolemFOFtoCNF_X0)) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_700,plain,
( join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_698,refute_0_699]) ).
cnf(refute_0_701,plain,
join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(zero))),complement(skolemFOFtoCNF_X0)) )],[refute_0_682,refute_0_700]) ).
cnf(refute_0_702,plain,
( join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),X_142)) != join(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),X_142)
| join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),X_142)) = join(complement(skolemFOFtoCNF_X0),X_142) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),X_142)),join(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),X_142)) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_703,plain,
( join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),X_142)) != join(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),X_142)
| join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),X_142)) = join(complement(skolemFOFtoCNF_X0),X_142) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),X_142)) = join(complement(skolemFOFtoCNF_X0),X_142),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),X_142)),join(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),X_142)) )],[refute_0_579,refute_0_703]) ).
cnf(refute_0_705,plain,
join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top)))) = join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(subst,[],[refute_0_704:[bind(X_142,$fot(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_706,plain,
top = join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(subst,[],[refute_0_37:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_707,plain,
( top != join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top)))
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_708,plain,
join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top))) = top,
inference(resolve,[$cnf( $equal(top,join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
( join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top)))) != join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top))) != top
| join(complement(skolemFOFtoCNF_X0),top) = join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top)))),join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_710,plain,
( join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top)))) != join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(skolemFOFtoCNF_X0),top) = join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top))),top) )],[refute_0_708,refute_0_709]) ).
cnf(refute_0_711,plain,
join(complement(skolemFOFtoCNF_X0),top) = join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),complement(composition(complement(skolemFOFtoCNF_X0),top)))),join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_705,refute_0_710]) ).
cnf(refute_0_712,plain,
join(X0,top) = join(top,X0),
inference(subst,[],[refute_0_1:[bind(X1,$fot(top))]]) ).
cnf(refute_0_713,plain,
top = join(top,complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_304:[bind(X_31,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_714,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| top != join(top,complement(join(complement(X0),complement(X1))))
| top = join(top,meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(join(complement(X0),complement(X1))))) ),[1,1],$fot(meet(X0,X1))]]) ).
cnf(refute_0_715,plain,
( top != join(top,complement(join(complement(X0),complement(X1))))
| top = join(top,meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_14,refute_0_714]) ).
cnf(refute_0_716,plain,
top = join(top,meet(X0,X1)),
inference(resolve,[$cnf( $equal(top,join(top,complement(join(complement(X0),complement(X1))))) )],[refute_0_713,refute_0_715]) ).
cnf(refute_0_717,plain,
top = join(top,meet(X1,X1)),
inference(subst,[],[refute_0_716:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_718,plain,
meet(X1,X1) = X1,
inference(subst,[],[refute_0_450:[bind(X_25,$fot(X1))]]) ).
cnf(refute_0_719,plain,
( meet(X1,X1) != X1
| top != join(top,meet(X1,X1))
| top = join(top,X1) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,meet(X1,X1))) ),[1,1],$fot(X1)]]) ).
cnf(refute_0_720,plain,
( top != join(top,meet(X1,X1))
| top = join(top,X1) ),
inference(resolve,[$cnf( $equal(meet(X1,X1),X1) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
top = join(top,X1),
inference(resolve,[$cnf( $equal(top,join(top,meet(X1,X1))) )],[refute_0_717,refute_0_720]) ).
cnf(refute_0_722,plain,
top = join(top,X0),
inference(subst,[],[refute_0_721:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_723,plain,
( top != join(top,X0)
| join(top,X0) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,X0)))]]) ).
cnf(refute_0_724,plain,
join(top,X0) = top,
inference(resolve,[$cnf( $equal(top,join(top,X0)) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
( join(X0,top) != join(top,X0)
| join(top,X0) != top
| join(X0,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,top),top) ),[0],$fot(join(top,X0))]]) ).
cnf(refute_0_726,plain,
( join(X0,top) != join(top,X0)
| join(X0,top) = top ),
inference(resolve,[$cnf( $equal(join(top,X0),top) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
join(X0,top) = top,
inference(resolve,[$cnf( $equal(join(X0,top),join(top,X0)) )],[refute_0_712,refute_0_726]) ).
cnf(refute_0_728,plain,
join(complement(skolemFOFtoCNF_X0),top) = top,
inference(subst,[],[refute_0_727:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_729,plain,
( join(complement(skolemFOFtoCNF_X0),top) != join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(skolemFOFtoCNF_X0),top) != top
| top = join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),[0],$fot(top)]]) ).
cnf(refute_0_730,plain,
( join(complement(skolemFOFtoCNF_X0),top) != join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))
| top = join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),top),top) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_40),complement(join(complement(join(complement(X0),complement(X1))),X_40))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(join(complement(X0),complement(X1)))),bind(X1,$fot(X_40))]]) ).
cnf(refute_0_732,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_40),complement(join(complement(join(complement(X0),complement(X1))),X_40)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_40),complement(join(complement(join(complement(X0),complement(X1))),X_40)))) ),[1,1,0,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_733,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_40),complement(join(complement(join(complement(X0),complement(X1))),X_40)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_14,refute_0_732]) ).
cnf(refute_0_734,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_40),complement(join(complement(join(complement(X0),complement(X1))),X_40)))) )],[refute_0_731,refute_0_733]) ).
cnf(refute_0_735,plain,
meet(join(complement(X0),complement(X1)),X_40) = complement(join(meet(X0,X1),complement(X_40))),
inference(subst,[],[refute_0_48:[bind(X1,$fot(X_40)),bind(X_24,$fot(X0)),bind(X_25,$fot(X1))]]) ).
cnf(refute_0_736,plain,
join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)) = join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)))]]) ).
cnf(refute_0_737,plain,
( join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)) != join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40))
| meet(join(complement(X0),complement(X1)),X_40) != complement(join(meet(X0,X1),complement(X_40)))
| join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)) = join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)),join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(X_40))))]]) ).
cnf(refute_0_738,plain,
( meet(join(complement(X0),complement(X1)),X_40) != complement(join(meet(X0,X1),complement(X_40)))
| join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)) = join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)),join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)) = join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),complement(X_40)))) )],[refute_0_735,refute_0_738]) ).
cnf(refute_0_740,plain,
join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))) = join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(meet(X0,X1),X_40)))),bind(X1,$fot(meet(join(complement(X0),complement(X1)),X_40)))]]) ).
cnf(refute_0_741,plain,
( join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)) != join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))
| join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))) != join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40))
| join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))) = join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))))),bind(Y,$fot(join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)))),bind(Z,$fot(join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))))]]) ).
cnf(refute_0_742,plain,
( join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)) != join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))
| join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))) = join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))),join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))) = join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_40)),meet(join(complement(X0),complement(X1)),X_40)),join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))) )],[refute_0_739,refute_0_742]) ).
cnf(refute_0_744,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40)))
| join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))) != join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))) ),[0],$fot(join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))))]]) ).
cnf(refute_0_745,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40)))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40))),join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_40),complement(join(meet(X0,X1),X_40)))) )],[refute_0_734,refute_0_745]) ).
cnf(refute_0_747,plain,
meet(join(zero,complement(X_29)),X1) = complement(join(complement(join(zero,complement(X_29))),complement(X1))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(join(zero,complement(X_29))))]]) ).
cnf(refute_0_748,plain,
meet(top,X_29) = complement(join(zero,complement(X_29))),
inference(subst,[],[refute_0_60:[bind(X1,$fot(X_29))]]) ).
cnf(refute_0_749,plain,
( meet(top,X_29) != complement(join(zero,complement(X_29)))
| complement(join(zero,complement(X_29))) = meet(top,X_29) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_29))),bind(Y,$fot(complement(join(zero,complement(X_29)))))]]) ).
cnf(refute_0_750,plain,
complement(join(zero,complement(X_29))) = meet(top,X_29),
inference(resolve,[$cnf( $equal(meet(top,X_29),complement(join(zero,complement(X_29)))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
( complement(join(zero,complement(X_29))) != meet(top,X_29)
| meet(join(zero,complement(X_29)),X1) != complement(join(complement(join(zero,complement(X_29))),complement(X1)))
| meet(join(zero,complement(X_29)),X1) = complement(join(meet(top,X_29),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_29)),X1),complement(join(complement(join(zero,complement(X_29))),complement(X1)))) ),[1,0,0],$fot(meet(top,X_29))]]) ).
cnf(refute_0_752,plain,
( meet(join(zero,complement(X_29)),X1) != complement(join(complement(join(zero,complement(X_29))),complement(X1)))
| meet(join(zero,complement(X_29)),X1) = complement(join(meet(top,X_29),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_29))),meet(top,X_29)) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
meet(join(zero,complement(X_29)),X1) = complement(join(meet(top,X_29),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_29)),X1),complement(join(complement(join(zero,complement(X_29))),complement(X1)))) )],[refute_0_747,refute_0_752]) ).
cnf(refute_0_754,plain,
join(zero,complement(X_29)) = complement(X_29),
inference(subst,[],[refute_0_337:[bind(X_41,$fot(X_29))]]) ).
cnf(refute_0_755,plain,
meet(join(zero,complement(X_29)),X1) = meet(join(zero,complement(X_29)),X1),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X_29)),X1))]]) ).
cnf(refute_0_756,plain,
( join(zero,complement(X_29)) != complement(X_29)
| meet(join(zero,complement(X_29)),X1) != meet(join(zero,complement(X_29)),X1)
| meet(join(zero,complement(X_29)),X1) = meet(complement(X_29),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_29)),X1),meet(join(zero,complement(X_29)),X1)) ),[1,0],$fot(complement(X_29))]]) ).
cnf(refute_0_757,plain,
( join(zero,complement(X_29)) != complement(X_29)
| meet(join(zero,complement(X_29)),X1) = meet(complement(X_29),X1) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_29)),X1),meet(join(zero,complement(X_29)),X1)) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
meet(join(zero,complement(X_29)),X1) = meet(complement(X_29),X1),
inference(resolve,[$cnf( $equal(join(zero,complement(X_29)),complement(X_29)) )],[refute_0_754,refute_0_757]) ).
cnf(refute_0_759,plain,
( meet(join(zero,complement(X_29)),X1) != complement(join(meet(top,X_29),complement(X1)))
| meet(join(zero,complement(X_29)),X1) != meet(complement(X_29),X1)
| meet(complement(X_29),X1) = complement(join(meet(top,X_29),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_29)),X1),complement(join(meet(top,X_29),complement(X1)))) ),[0],$fot(meet(complement(X_29),X1))]]) ).
cnf(refute_0_760,plain,
( meet(join(zero,complement(X_29)),X1) != complement(join(meet(top,X_29),complement(X1)))
| meet(complement(X_29),X1) = complement(join(meet(top,X_29),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_29)),X1),meet(complement(X_29),X1)) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
meet(top,X_29) = X_29,
inference(subst,[],[refute_0_408:[bind(X1,$fot(X_29))]]) ).
cnf(refute_0_762,plain,
join(meet(top,X_29),complement(X1)) = join(meet(top,X_29),complement(X1)),
introduced(tautology,[refl,[$fot(join(meet(top,X_29),complement(X1)))]]) ).
cnf(refute_0_763,plain,
( join(meet(top,X_29),complement(X1)) != join(meet(top,X_29),complement(X1))
| meet(top,X_29) != X_29
| join(meet(top,X_29),complement(X1)) = join(X_29,complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_29),complement(X1)),join(meet(top,X_29),complement(X1))) ),[1,0],$fot(X_29)]]) ).
cnf(refute_0_764,plain,
( meet(top,X_29) != X_29
| join(meet(top,X_29),complement(X1)) = join(X_29,complement(X1)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_29),complement(X1)),join(meet(top,X_29),complement(X1))) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
join(meet(top,X_29),complement(X1)) = join(X_29,complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X_29),X_29) )],[refute_0_761,refute_0_764]) ).
cnf(refute_0_766,plain,
complement(join(meet(top,X_29),complement(X1))) = complement(join(meet(top,X_29),complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X_29),complement(X1))))]]) ).
cnf(refute_0_767,plain,
( complement(join(meet(top,X_29),complement(X1))) != complement(join(meet(top,X_29),complement(X1)))
| join(meet(top,X_29),complement(X1)) != join(X_29,complement(X1))
| complement(join(meet(top,X_29),complement(X1))) = complement(join(X_29,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X_29),complement(X1))),complement(join(meet(top,X_29),complement(X1)))) ),[1,0],$fot(join(X_29,complement(X1)))]]) ).
cnf(refute_0_768,plain,
( join(meet(top,X_29),complement(X1)) != join(X_29,complement(X1))
| complement(join(meet(top,X_29),complement(X1))) = complement(join(X_29,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_29),complement(X1))),complement(join(meet(top,X_29),complement(X1)))) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
complement(join(meet(top,X_29),complement(X1))) = complement(join(X_29,complement(X1))),
inference(resolve,[$cnf( $equal(join(meet(top,X_29),complement(X1)),join(X_29,complement(X1))) )],[refute_0_765,refute_0_768]) ).
cnf(refute_0_770,plain,
( complement(join(meet(top,X_29),complement(X1))) != complement(join(X_29,complement(X1)))
| meet(complement(X_29),X1) != complement(join(meet(top,X_29),complement(X1)))
| meet(complement(X_29),X1) = complement(join(X_29,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_29),X1),complement(join(meet(top,X_29),complement(X1)))) ),[1],$fot(complement(join(X_29,complement(X1))))]]) ).
cnf(refute_0_771,plain,
( meet(complement(X_29),X1) != complement(join(meet(top,X_29),complement(X1)))
| meet(complement(X_29),X1) = complement(join(X_29,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_29),complement(X1))),complement(join(X_29,complement(X1)))) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
( meet(join(zero,complement(X_29)),X1) != complement(join(meet(top,X_29),complement(X1)))
| meet(complement(X_29),X1) = complement(join(X_29,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_29),X1),complement(join(meet(top,X_29),complement(X1)))) )],[refute_0_760,refute_0_771]) ).
cnf(refute_0_773,plain,
meet(complement(X_29),X1) = complement(join(X_29,complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_29)),X1),complement(join(meet(top,X_29),complement(X1)))) )],[refute_0_753,refute_0_772]) ).
cnf(refute_0_774,plain,
( meet(complement(X_29),X1) != complement(join(X_29,complement(X1)))
| complement(join(X_29,complement(X1))) = meet(complement(X_29),X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_29),X1))),bind(Y,$fot(complement(join(X_29,complement(X1)))))]]) ).
cnf(refute_0_775,plain,
complement(join(X_29,complement(X1))) = meet(complement(X_29),X1),
inference(resolve,[$cnf( $equal(meet(complement(X_29),X1),complement(join(X_29,complement(X1)))) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
complement(join(meet(X0,X1),complement(X_40))) = meet(complement(meet(X0,X1)),X_40),
inference(subst,[],[refute_0_775:[bind(X1,$fot(X_40)),bind(X_29,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_777,plain,
join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))) = join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))))]]) ).
cnf(refute_0_778,plain,
( complement(join(meet(X0,X1),complement(X_40))) != meet(complement(meet(X0,X1)),X_40)
| join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))) != join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))
| join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))) = join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))),join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))) ),[1,1],$fot(meet(complement(meet(X0,X1)),X_40))]]) ).
cnf(refute_0_779,plain,
( complement(join(meet(X0,X1),complement(X_40))) != meet(complement(meet(X0,X1)),X_40)
| join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))) = join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))),join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))) = join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40)),
inference(resolve,[$cnf( $equal(complement(join(meet(X0,X1),complement(X_40))),meet(complement(meet(X0,X1)),X_40)) )],[refute_0_776,refute_0_779]) ).
cnf(refute_0_781,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))
| join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))) != join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40))) ),[0],$fot(join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))))]]) ).
cnf(refute_0_782,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40)))),join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40))) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_40)),complement(join(meet(X0,X1),complement(X_40))))) )],[refute_0_746,refute_0_782]) ).
cnf(refute_0_784,plain,
( complement(X1) != join(complement(join(X1,X_40)),meet(complement(X1),X_40))
| join(complement(join(X1,X_40)),meet(complement(X1),X_40)) = complement(X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X1))),bind(Y,$fot(join(complement(join(X1,X_40)),meet(complement(X1),X_40))))]]) ).
cnf(refute_0_785,plain,
join(complement(join(X1,X_40)),meet(complement(X1),X_40)) = complement(X1),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,X_40)),meet(complement(X1),X_40))) )],[refute_0_427,refute_0_784]) ).
cnf(refute_0_786,plain,
join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40)) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_785:[bind(X1,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_787,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40))
| join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40)) != 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_40)),meet(complement(meet(X0,X1)),X_40)))]]) ).
cnf(refute_0_788,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40)),complement(meet(X0,X1))) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_40)),meet(complement(meet(X0,X1)),X_40))) )],[refute_0_783,refute_0_788]) ).
cnf(refute_0_790,plain,
join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),
inference(subst,[],[refute_0_789:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_791,plain,
( join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))
| top != join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))
| top = complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))) ),[1],$fot(complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_792,plain,
( top != join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))
| top = complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
( join(complement(skolemFOFtoCNF_X0),top) != join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))
| top = complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_730,refute_0_792]) ).
cnf(refute_0_794,plain,
top = complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_711,refute_0_793]) ).
cnf(refute_0_795,plain,
( top != complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))
| complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_796,plain,
complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
( complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) != top
| meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))))))
| meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))))))) ),[1,1,0,0,0],$fot(top)]]) ).
cnf(refute_0_798,plain,
( meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))))))
| meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),top) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top)))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(complement(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))))))) )],[refute_0_578,refute_0_798]) ).
cnf(refute_0_800,plain,
meet(zero,meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = zero,
inference(subst,[],[refute_0_525:[bind(X1,$fot(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_801,plain,
converse(complement(converse(top))) = converse(complement(converse(top))),
introduced(tautology,[refl,[$fot(converse(complement(converse(top))))]]) ).
cnf(refute_0_802,plain,
( complement(converse(top)) != zero
| converse(complement(converse(top))) != converse(complement(converse(top)))
| converse(complement(converse(top))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(top))),converse(complement(converse(top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_803,plain,
( complement(converse(top)) != zero
| converse(complement(converse(top))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(top))),converse(complement(converse(top)))) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
converse(complement(converse(top))) = converse(zero),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_567,refute_0_803]) ).
cnf(refute_0_805,plain,
( converse(complement(converse(top))) != converse(zero)
| converse(zero) != zero
| converse(complement(converse(top))) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(complement(converse(top))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_806,plain,
( converse(zero) != zero
| converse(complement(converse(top))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(converse(top))),converse(zero)) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
converse(complement(converse(top))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_674,refute_0_806]) ).
cnf(refute_0_808,plain,
meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_809,plain,
( converse(complement(converse(top))) != zero
| meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) != meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))
| meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = meet(zero,meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_810,plain,
( converse(complement(converse(top))) != zero
| meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = meet(zero,meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = meet(zero,meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(complement(converse(top))),zero) )],[refute_0_807,refute_0_810]) ).
cnf(refute_0_812,plain,
( meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) != meet(zero,meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))
| meet(zero,meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) != zero
| meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(meet(zero,meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_813,plain,
( meet(zero,meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) != zero
| meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),meet(zero,meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = zero,
inference(resolve,[$cnf( $equal(meet(zero,meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),zero) )],[refute_0_800,refute_0_813]) ).
cnf(refute_0_815,plain,
( meet(X_24,X_25) != meet(X_25,X_24)
| meet(X_25,X_24) = meet(X_24,X_25) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_24,X_25))),bind(Y,$fot(meet(X_25,X_24)))]]) ).
cnf(refute_0_816,plain,
meet(X_25,X_24) = meet(X_24,X_25),
inference(resolve,[$cnf( $equal(meet(X_24,X_25),meet(X_25,X_24)) )],[refute_0_98,refute_0_815]) ).
cnf(refute_0_817,plain,
meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top)))) = meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),
inference(subst,[],[refute_0_816:[bind(X_24,$fot(converse(complement(converse(top))))),bind(X_25,$fot(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_818,plain,
( meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) != zero
| meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top)))) != meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))
| meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top)))) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top)))))),bind(Y,$fot(meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_819,plain,
( meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) != zero
| meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top)))) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top)))),meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top)))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(top))),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),zero) )],[refute_0_814,refute_0_819]) ).
cnf(refute_0_821,plain,
( meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top)))) != zero
| meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top))))
| meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top))))) ),[1],$fot(zero)]]) ).
cnf(refute_0_822,plain,
( meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top))))
| meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top)))),zero) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = zero,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),meet(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),converse(complement(converse(top))))) )],[refute_0_799,refute_0_822]) ).
cnf(refute_0_824,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))
| meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != zero
| composition(complement(skolemFOFtoCNF_X0),top) = meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_825,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))
| composition(complement(skolemFOFtoCNF_X0),top) = meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),zero) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
composition(complement(skolemFOFtoCNF_X0),top) = meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_479,refute_0_825]) ).
cnf(refute_0_827,plain,
meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_816:[bind(X_24,$fot(complement(skolemFOFtoCNF_X0))),bind(X_25,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_828,plain,
join(X0,zero) = join(zero,X0),
inference(subst,[],[refute_0_1:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_829,plain,
X0 = join(zero,X0),
inference(subst,[],[refute_0_465:[bind(X_39,$fot(X0))]]) ).
cnf(refute_0_830,plain,
( X0 != join(zero,X0)
| join(zero,X0) = X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(join(zero,X0)))]]) ).
cnf(refute_0_831,plain,
join(zero,X0) = X0,
inference(resolve,[$cnf( $equal(X0,join(zero,X0)) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
( join(X0,zero) != join(zero,X0)
| join(zero,X0) != X0
| join(X0,zero) = X0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,zero),X0) ),[0],$fot(join(zero,X0))]]) ).
cnf(refute_0_833,plain,
( join(X0,zero) != join(zero,X0)
| join(X0,zero) = X0 ),
inference(resolve,[$cnf( $equal(join(zero,X0),X0) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
join(X0,zero) = X0,
inference(resolve,[$cnf( $equal(join(X0,zero),join(zero,X0)) )],[refute_0_828,refute_0_833]) ).
cnf(refute_0_835,plain,
join(complement(skolemFOFtoCNF_X0),zero) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_834:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_836,plain,
meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)) = meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)),
introduced(tautology,[refl,[$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)))]]) ).
cnf(refute_0_837,plain,
( join(complement(skolemFOFtoCNF_X0),zero) != complement(skolemFOFtoCNF_X0)
| meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)) != meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero))
| meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)),meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_838,plain,
( join(complement(skolemFOFtoCNF_X0),zero) != complement(skolemFOFtoCNF_X0)
| meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)),meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero))) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),zero),complement(skolemFOFtoCNF_X0)) )],[refute_0_835,refute_0_838]) ).
cnf(refute_0_840,plain,
( meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))
| meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)) != meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0))
| meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)))),bind(Y,$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_841,plain,
( meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))
| meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_827,refute_0_841]) ).
cnf(refute_0_843,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero))
| meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)) != meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),top) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) ),[0],$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)))]]) ).
cnf(refute_0_844,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero))
| composition(complement(skolemFOFtoCNF_X0),top) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero)),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
composition(complement(skolemFOFtoCNF_X0),top) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),zero))) )],[refute_0_826,refute_0_844]) ).
cnf(refute_0_846,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))
| meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_847,plain,
meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))
| meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_849,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))
| complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_428,refute_0_849]) ).
cnf(refute_0_851,plain,
join(composition(complement(skolemFOFtoCNF_X0),top),zero) = composition(complement(skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_834:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_852,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_853,plain,
composition(join(X0,join(one,skolemFOFtoCNF_X0)),top) = join(composition(X0,top),composition(join(one,skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_852:[bind(X1,$fot(join(one,skolemFOFtoCNF_X0))),bind(X2,$fot(top))]]) ).
cnf(refute_0_854,plain,
composition(join(X_96,skolemFOFtoCNF_X0),top) = join(composition(X_96,top),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_852:[bind(X0,$fot(X_96)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(top))]]) ).
cnf(refute_0_855,plain,
( composition(join(X_96,skolemFOFtoCNF_X0),top) != join(composition(X_96,top),composition(skolemFOFtoCNF_X0,top))
| composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| composition(join(X_96,skolemFOFtoCNF_X0),top) = join(composition(X_96,top),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_96,skolemFOFtoCNF_X0),top),join(composition(X_96,top),composition(skolemFOFtoCNF_X0,top))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_856,plain,
( composition(join(X_96,skolemFOFtoCNF_X0),top) != join(composition(X_96,top),composition(skolemFOFtoCNF_X0,top))
| composition(join(X_96,skolemFOFtoCNF_X0),top) = join(composition(X_96,top),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_583,refute_0_855]) ).
cnf(refute_0_857,plain,
composition(join(X_96,skolemFOFtoCNF_X0),top) = join(composition(X_96,top),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(join(X_96,skolemFOFtoCNF_X0),top),join(composition(X_96,top),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_854,refute_0_856]) ).
cnf(refute_0_858,plain,
join(composition(X_96,top),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,composition(X_96,top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(composition(X_96,top)))]]) ).
cnf(refute_0_859,plain,
( composition(join(X_96,skolemFOFtoCNF_X0),top) != join(composition(X_96,top),skolemFOFtoCNF_X0)
| join(composition(X_96,top),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,composition(X_96,top))
| composition(join(X_96,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(X_96,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_96,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(X_96,top))) ),[0],$fot(join(composition(X_96,top),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_860,plain,
( composition(join(X_96,skolemFOFtoCNF_X0),top) != join(composition(X_96,top),skolemFOFtoCNF_X0)
| composition(join(X_96,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(X_96,top)) ),
inference(resolve,[$cnf( $equal(join(composition(X_96,top),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,composition(X_96,top))) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
composition(join(X_96,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(X_96,top)),
inference(resolve,[$cnf( $equal(composition(join(X_96,skolemFOFtoCNF_X0),top),join(composition(X_96,top),skolemFOFtoCNF_X0)) )],[refute_0_857,refute_0_860]) ).
cnf(refute_0_862,plain,
composition(join(one,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(one,top)),
inference(subst,[],[refute_0_861:[bind(X_96,$fot(one))]]) ).
cnf(refute_0_863,plain,
top = composition(one,top),
inference(subst,[],[refute_0_193:[bind(X_13,$fot(top))]]) ).
cnf(refute_0_864,plain,
( top != composition(one,top)
| composition(one,top) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(composition(one,top)))]]) ).
cnf(refute_0_865,plain,
composition(one,top) = top,
inference(resolve,[$cnf( $equal(top,composition(one,top)) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
( composition(join(one,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(one,top))
| composition(one,top) != top
| composition(join(one,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_867,plain,
( composition(join(one,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(one,top))
| composition(join(one,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(one,top),top) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
composition(join(one,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(one,top))) )],[refute_0_862,refute_0_867]) ).
cnf(refute_0_869,plain,
join(skolemFOFtoCNF_X0,top) = top,
inference(subst,[],[refute_0_727:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_870,plain,
( composition(join(one,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,top)
| join(skolemFOFtoCNF_X0,top) != top
| composition(join(one,skolemFOFtoCNF_X0),top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,skolemFOFtoCNF_X0),top),top) ),[0],$fot(join(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_871,plain,
( composition(join(one,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,top)
| composition(join(one,skolemFOFtoCNF_X0),top) = top ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),top) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
composition(join(one,skolemFOFtoCNF_X0),top) = top,
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,top)) )],[refute_0_868,refute_0_871]) ).
cnf(refute_0_873,plain,
( composition(join(X0,join(one,skolemFOFtoCNF_X0)),top) != join(composition(X0,top),composition(join(one,skolemFOFtoCNF_X0),top))
| composition(join(one,skolemFOFtoCNF_X0),top) != top
| composition(join(X0,join(one,skolemFOFtoCNF_X0)),top) = join(composition(X0,top),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(one,skolemFOFtoCNF_X0)),top),join(composition(X0,top),composition(join(one,skolemFOFtoCNF_X0),top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_874,plain,
( composition(join(X0,join(one,skolemFOFtoCNF_X0)),top) != join(composition(X0,top),composition(join(one,skolemFOFtoCNF_X0),top))
| composition(join(X0,join(one,skolemFOFtoCNF_X0)),top) = join(composition(X0,top),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),top),top) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
composition(join(X0,join(one,skolemFOFtoCNF_X0)),top) = join(composition(X0,top),top),
inference(resolve,[$cnf( $equal(composition(join(X0,join(one,skolemFOFtoCNF_X0)),top),join(composition(X0,top),composition(join(one,skolemFOFtoCNF_X0),top))) )],[refute_0_853,refute_0_874]) ).
cnf(refute_0_876,plain,
join(composition(X0,top),top) = top,
inference(subst,[],[refute_0_727:[bind(X0,$fot(composition(X0,top)))]]) ).
cnf(refute_0_877,plain,
( composition(join(X0,join(one,skolemFOFtoCNF_X0)),top) != join(composition(X0,top),top)
| join(composition(X0,top),top) != top
| composition(join(X0,join(one,skolemFOFtoCNF_X0)),top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(one,skolemFOFtoCNF_X0)),top),top) ),[0],$fot(join(composition(X0,top),top))]]) ).
cnf(refute_0_878,plain,
( composition(join(X0,join(one,skolemFOFtoCNF_X0)),top) != join(composition(X0,top),top)
| composition(join(X0,join(one,skolemFOFtoCNF_X0)),top) = top ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),top),top) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
composition(join(X0,join(one,skolemFOFtoCNF_X0)),top) = top,
inference(resolve,[$cnf( $equal(composition(join(X0,join(one,skolemFOFtoCNF_X0)),top),join(composition(X0,top),top)) )],[refute_0_875,refute_0_878]) ).
cnf(refute_0_880,plain,
composition(join(top,join(one,skolemFOFtoCNF_X0)),top) = top,
inference(subst,[],[refute_0_879:[bind(X0,$fot(top))]]) ).
cnf(refute_0_881,plain,
top = join(top,join(one,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_721:[bind(X1,$fot(join(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_882,plain,
( top != join(top,join(one,skolemFOFtoCNF_X0))
| join(top,join(one,skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,join(one,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_883,plain,
join(top,join(one,skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(top,join(top,join(one,skolemFOFtoCNF_X0))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
( composition(join(top,join(one,skolemFOFtoCNF_X0)),top) != top
| join(top,join(one,skolemFOFtoCNF_X0)) != top
| composition(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,join(one,skolemFOFtoCNF_X0)),top),top) ),[0,0],$fot(top)]]) ).
cnf(refute_0_885,plain,
( composition(join(top,join(one,skolemFOFtoCNF_X0)),top) != top
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(join(top,join(one,skolemFOFtoCNF_X0)),top) )],[refute_0_883,refute_0_884]) ).
cnf(refute_0_886,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(composition(join(top,join(one,skolemFOFtoCNF_X0)),top),top) )],[refute_0_880,refute_0_885]) ).
cnf(refute_0_887,plain,
join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top,
inference(subst,[],[refute_0_39:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_888,plain,
composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),
introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_889,plain,
( composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) != composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
| composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_890,plain,
( join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
| composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = composition(top,top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_887,refute_0_890]) ).
cnf(refute_0_892,plain,
( composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) != composition(top,top)
| composition(top,top) != top
| composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top))),bind(Y,$fot(composition(top,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_893,plain,
( composition(top,top) != top
| composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = top ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),composition(top,top)) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = top,
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_886,refute_0_893]) ).
cnf(refute_0_895,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_142)) = join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X_142),
inference(subst,[],[refute_0_77:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(X_142))]]) ).
cnf(refute_0_896,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) = complement(complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_160:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_897,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != zero
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != complement(complement(skolemFOFtoCNF_X0))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(complement(skolemFOFtoCNF_X0))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_898,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != complement(complement(skolemFOFtoCNF_X0))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),zero) )],[refute_0_600,refute_0_897]) ).
cnf(refute_0_899,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_896,refute_0_898]) ).
cnf(refute_0_900,plain,
composition(skolemFOFtoCNF_X0,complement(zero)) = composition(skolemFOFtoCNF_X0,complement(zero)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,complement(zero)))]]) ).
cnf(refute_0_901,plain,
( complement(zero) != top
| composition(skolemFOFtoCNF_X0,complement(zero)) != composition(skolemFOFtoCNF_X0,complement(zero))
| composition(skolemFOFtoCNF_X0,complement(zero)) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(zero)),composition(skolemFOFtoCNF_X0,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_902,plain,
( complement(zero) != top
| composition(skolemFOFtoCNF_X0,complement(zero)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(zero)),composition(skolemFOFtoCNF_X0,complement(zero))) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
composition(skolemFOFtoCNF_X0,complement(zero)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_279,refute_0_902]) ).
cnf(refute_0_904,plain,
converse(converse(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_164:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_905,plain,
composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))]]) ).
cnf(refute_0_906,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))
| converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_907,plain,
( converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_904,refute_0_907]) ).
cnf(refute_0_909,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != composition(skolemFOFtoCNF_X0,complement(zero))
| composition(skolemFOFtoCNF_X0,complement(zero)) != composition(skolemFOFtoCNF_X0,top)
| composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,complement(zero)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_910,plain,
( composition(skolemFOFtoCNF_X0,complement(zero)) != composition(skolemFOFtoCNF_X0,top)
| composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),composition(skolemFOFtoCNF_X0,complement(zero))) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(zero)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_903,refute_0_910]) ).
cnf(refute_0_912,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != composition(skolemFOFtoCNF_X0,top)
| composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_20:[bind(X,$fot(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,top))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_913,plain,
( composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_911,refute_0_912]) ).
cnf(refute_0_914,plain,
composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_583,refute_0_913]) ).
cnf(refute_0_915,plain,
join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))))]]) ).
cnf(refute_0_916,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))
| join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_917,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),skolemFOFtoCNF_X0) )],[refute_0_914,refute_0_917]) ).
cnf(refute_0_919,plain,
complement(complement(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_397:[bind(X_39,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_920,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))))]]) ).
cnf(refute_0_921,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_922,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) )],[refute_0_920,refute_0_921]) ).
cnf(refute_0_923,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_919,refute_0_922]) ).
cnf(refute_0_924,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))
| join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_925,plain,
( join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_918,refute_0_925]) ).
cnf(refute_0_927,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != complement(complement(skolemFOFtoCNF_X0))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),complement(complement(skolemFOFtoCNF_X0))) ),[0],$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_928,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != complement(complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_926,refute_0_927]) ).
cnf(refute_0_929,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != complement(complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_930,plain,
( join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != complement(complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_919,refute_0_929]) ).
cnf(refute_0_931,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != complement(complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_928,refute_0_930]) ).
cnf(refute_0_932,plain,
join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_899,refute_0_931]) ).
cnf(refute_0_933,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_142)) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X_142)
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_142)) = join(skolemFOFtoCNF_X0,X_142) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_142)),join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X_142)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_934,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_142)) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X_142)
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_142)) = join(skolemFOFtoCNF_X0,X_142) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_142)) = join(skolemFOFtoCNF_X0,X_142),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_142)),join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X_142)) )],[refute_0_895,refute_0_934]) ).
cnf(refute_0_936,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X_96,top))) = join(skolemFOFtoCNF_X0,composition(X_96,top)),
inference(subst,[],[refute_0_935:[bind(X_142,$fot(composition(X_96,top)))]]) ).
cnf(refute_0_937,plain,
( composition(join(X_96,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(X_96,top))
| join(skolemFOFtoCNF_X0,composition(X_96,top)) = composition(join(X_96,skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_96,skolemFOFtoCNF_X0),top))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(X_96,top))))]]) ).
cnf(refute_0_938,plain,
join(skolemFOFtoCNF_X0,composition(X_96,top)) = composition(join(X_96,skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(join(X_96,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(X_96,top))) )],[refute_0_861,refute_0_937]) ).
cnf(refute_0_939,plain,
( join(skolemFOFtoCNF_X0,composition(X_96,top)) != composition(join(X_96,skolemFOFtoCNF_X0),top)
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X_96,top))) != join(skolemFOFtoCNF_X0,composition(X_96,top))
| join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) = join(skolemFOFtoCNF_X0,composition(X_96,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X_96,top))),join(skolemFOFtoCNF_X0,composition(X_96,top))) ),[0,1],$fot(composition(join(X_96,skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_940,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X_96,top))) != join(skolemFOFtoCNF_X0,composition(X_96,top))
| join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) = join(skolemFOFtoCNF_X0,composition(X_96,top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X_96,top)),composition(join(X_96,skolemFOFtoCNF_X0),top)) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) = join(skolemFOFtoCNF_X0,composition(X_96,top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X_96,top))),join(skolemFOFtoCNF_X0,composition(X_96,top))) )],[refute_0_936,refute_0_940]) ).
cnf(refute_0_942,plain,
join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_146)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(join(skolemFOFtoCNF_X0,X_146))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_943,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_146)) = join(skolemFOFtoCNF_X0,X_146),
inference(subst,[],[refute_0_935:[bind(X_142,$fot(X_146))]]) ).
cnf(refute_0_944,plain,
( join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_146))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_146)) != join(skolemFOFtoCNF_X0,X_146)
| join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_146) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_146)) ),[0],$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_146)))]]) ).
cnf(refute_0_945,plain,
( join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_146))
| join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_146) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_146)),join(skolemFOFtoCNF_X0,X_146)) )],[refute_0_943,refute_0_944]) ).
cnf(refute_0_946,plain,
join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_146),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_146))) )],[refute_0_942,refute_0_945]) ).
cnf(refute_0_947,plain,
join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,join(X_146,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_79:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(X_146)),bind(X2,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_948,plain,
( join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_146)
| join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,join(X_146,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,join(X_146,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,X_146) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_146)) ),[0],$fot(join(skolemFOFtoCNF_X0,join(X_146,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_949,plain,
( join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_146)
| join(skolemFOFtoCNF_X0,join(X_146,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,X_146) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(X_146,skolemFOFtoCNF_X0))) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
join(skolemFOFtoCNF_X0,join(X_146,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,X_146),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,X_146),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_146)) )],[refute_0_946,refute_0_949]) ).
cnf(refute_0_951,plain,
join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,X_96),
inference(subst,[],[refute_0_950:[bind(X_146,$fot(X_96))]]) ).
cnf(refute_0_952,plain,
composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top),
introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_953,plain,
( composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top) != composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,X_96)
| composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,X_96),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top)) ),[1,0],$fot(join(skolemFOFtoCNF_X0,X_96))]]) ).
cnf(refute_0_954,plain,
( join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,X_96)
| composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,X_96),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top)) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,X_96),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,X_96)) )],[refute_0_951,refute_0_954]) ).
cnf(refute_0_956,plain,
composition(join(X_102,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(X_102,top)),
inference(subst,[],[refute_0_861:[bind(X_96,$fot(X_102))]]) ).
cnf(refute_0_957,plain,
join(skolemFOFtoCNF_X0,X_102) = join(X_102,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(X_102))]]) ).
cnf(refute_0_958,plain,
( join(skolemFOFtoCNF_X0,X_102) != join(X_102,skolemFOFtoCNF_X0)
| join(X_102,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_102) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(skolemFOFtoCNF_X0,X_102))),bind(Y,$fot(join(X_102,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_959,plain,
join(X_102,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_102),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_102),join(X_102,skolemFOFtoCNF_X0)) )],[refute_0_957,refute_0_958]) ).
cnf(refute_0_960,plain,
( composition(join(X_102,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(X_102,top))
| join(X_102,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_102)
| composition(join(skolemFOFtoCNF_X0,X_102),top) = join(skolemFOFtoCNF_X0,composition(X_102,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_102,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(X_102,top))) ),[0,0],$fot(join(skolemFOFtoCNF_X0,X_102))]]) ).
cnf(refute_0_961,plain,
( composition(join(X_102,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(X_102,top))
| composition(join(skolemFOFtoCNF_X0,X_102),top) = join(skolemFOFtoCNF_X0,composition(X_102,top)) ),
inference(resolve,[$cnf( $equal(join(X_102,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_102)) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
composition(join(skolemFOFtoCNF_X0,X_102),top) = join(skolemFOFtoCNF_X0,composition(X_102,top)),
inference(resolve,[$cnf( $equal(composition(join(X_102,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(X_102,top))) )],[refute_0_956,refute_0_961]) ).
cnf(refute_0_963,plain,
join(skolemFOFtoCNF_X0,composition(X_102,top)) = composition(join(X_102,skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_938:[bind(X_96,$fot(X_102))]]) ).
cnf(refute_0_964,plain,
( composition(join(skolemFOFtoCNF_X0,X_102),top) != join(skolemFOFtoCNF_X0,composition(X_102,top))
| join(skolemFOFtoCNF_X0,composition(X_102,top)) != composition(join(X_102,skolemFOFtoCNF_X0),top)
| composition(join(skolemFOFtoCNF_X0,X_102),top) = composition(join(X_102,skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(skolemFOFtoCNF_X0,X_102),top),composition(join(X_102,skolemFOFtoCNF_X0),top)) ),[0],$fot(join(skolemFOFtoCNF_X0,composition(X_102,top)))]]) ).
cnf(refute_0_965,plain,
( composition(join(skolemFOFtoCNF_X0,X_102),top) != join(skolemFOFtoCNF_X0,composition(X_102,top))
| composition(join(skolemFOFtoCNF_X0,X_102),top) = composition(join(X_102,skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X_102,top)),composition(join(X_102,skolemFOFtoCNF_X0),top)) )],[refute_0_963,refute_0_964]) ).
cnf(refute_0_966,plain,
composition(join(skolemFOFtoCNF_X0,X_102),top) = composition(join(X_102,skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X_102),top),join(skolemFOFtoCNF_X0,composition(X_102,top))) )],[refute_0_962,refute_0_965]) ).
cnf(refute_0_967,plain,
( composition(join(skolemFOFtoCNF_X0,X_102),top) != composition(join(X_102,skolemFOFtoCNF_X0),top)
| composition(join(X_102,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X_102),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0,X_102),top))),bind(Y,$fot(composition(join(X_102,skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_968,plain,
composition(join(X_102,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X_102),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X_102),top),composition(join(X_102,skolemFOFtoCNF_X0),top)) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
composition(join(join(X_96,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_968:[bind(X_102,$fot(join(X_96,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_970,plain,
join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) = composition(join(join(X_96,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_938:[bind(X_96,$fot(join(X_96,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_971,plain,
( composition(join(join(X_96,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) != composition(join(join(X_96,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)
| join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(join(join(X_96,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_972,plain,
( composition(join(join(X_96,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)),composition(join(join(X_96,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(join(join(X_96,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top)) )],[refute_0_969,refute_0_972]) ).
cnf(refute_0_974,plain,
( composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top) != composition(join(skolemFOFtoCNF_X0,X_96),top)
| join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) != composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,X_96),top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,X_96),top)))]]) ).
cnf(refute_0_975,plain,
( composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top) != composition(join(skolemFOFtoCNF_X0,X_96),top)
| join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,X_96),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)),composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top)) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,X_96),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(X_96,skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,X_96),top)) )],[refute_0_955,refute_0_975]) ).
cnf(refute_0_977,plain,
( join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) != composition(join(skolemFOFtoCNF_X0,X_96),top)
| join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) != join(skolemFOFtoCNF_X0,composition(X_96,top))
| composition(join(skolemFOFtoCNF_X0,X_96),top) = join(skolemFOFtoCNF_X0,composition(X_96,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)),join(skolemFOFtoCNF_X0,composition(X_96,top))) ),[0],$fot(composition(join(skolemFOFtoCNF_X0,X_96),top))]]) ).
cnf(refute_0_978,plain,
( join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) != join(skolemFOFtoCNF_X0,composition(X_96,top))
| composition(join(skolemFOFtoCNF_X0,X_96),top) = join(skolemFOFtoCNF_X0,composition(X_96,top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)),composition(join(skolemFOFtoCNF_X0,X_96),top)) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
( composition(join(skolemFOFtoCNF_X0,X_96),top) != join(skolemFOFtoCNF_X0,composition(X_96,top))
| join(skolemFOFtoCNF_X0,composition(X_96,top)) != composition(join(X_96,skolemFOFtoCNF_X0),top)
| composition(join(skolemFOFtoCNF_X0,X_96),top) = composition(join(X_96,skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(skolemFOFtoCNF_X0,X_96),top),composition(join(X_96,skolemFOFtoCNF_X0),top)) ),[0],$fot(join(skolemFOFtoCNF_X0,composition(X_96,top)))]]) ).
cnf(refute_0_980,plain,
( composition(join(skolemFOFtoCNF_X0,X_96),top) != join(skolemFOFtoCNF_X0,composition(X_96,top))
| composition(join(skolemFOFtoCNF_X0,X_96),top) = composition(join(X_96,skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X_96,top)),composition(join(X_96,skolemFOFtoCNF_X0),top)) )],[refute_0_938,refute_0_979]) ).
cnf(refute_0_981,plain,
( join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)) != join(skolemFOFtoCNF_X0,composition(X_96,top))
| composition(join(skolemFOFtoCNF_X0,X_96),top) = composition(join(X_96,skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X_96),top),join(skolemFOFtoCNF_X0,composition(X_96,top))) )],[refute_0_978,refute_0_980]) ).
cnf(refute_0_982,plain,
composition(join(skolemFOFtoCNF_X0,X_96),top) = composition(join(X_96,skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X_96,skolemFOFtoCNF_X0),top)),join(skolemFOFtoCNF_X0,composition(X_96,top))) )],[refute_0_941,refute_0_981]) ).
cnf(refute_0_983,plain,
( composition(join(skolemFOFtoCNF_X0,X_96),top) != composition(join(X_96,skolemFOFtoCNF_X0),top)
| composition(join(X_96,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X_96),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0,X_96),top))),bind(Y,$fot(composition(join(X_96,skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_984,plain,
composition(join(X_96,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X_96),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X_96),top),composition(join(X_96,skolemFOFtoCNF_X0),top)) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_984:[bind(X_96,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_986,plain,
join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_938:[bind(X_96,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_987,plain,
( composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)
| join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_988,plain,
( composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_985,refute_0_988]) ).
cnf(refute_0_990,plain,
( composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) != top
| join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_991,plain,
( composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) != top
| join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = top ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_989,refute_0_990]) ).
cnf(refute_0_992,plain,
join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = top,
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),top) )],[refute_0_894,refute_0_991]) ).
cnf(refute_0_993,plain,
complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_994,plain,
( complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) != complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))
| join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != top
| complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_995,plain,
( join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != top
| complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = complement(top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),top) )],[refute_0_992,refute_0_995]) ).
cnf(refute_0_997,plain,
( complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) != complement(top)
| complement(top) != zero
| complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_998,plain,
( complement(top) != zero
| complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),complement(top)) )],[refute_0_996,refute_0_997]) ).
cnf(refute_0_999,plain,
complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_57,refute_0_998]) ).
cnf(refute_0_1000,plain,
join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) = join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_1001,plain,
( complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) != zero
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) != join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) = join(composition(complement(skolemFOFtoCNF_X0),top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1002,plain,
( complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) != zero
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) = join(composition(complement(skolemFOFtoCNF_X0),top),zero) ),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) = join(composition(complement(skolemFOFtoCNF_X0),top),zero),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),zero) )],[refute_0_999,refute_0_1002]) ).
cnf(refute_0_1004,plain,
( join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) != join(composition(complement(skolemFOFtoCNF_X0),top),zero)
| join(composition(complement(skolemFOFtoCNF_X0),top),zero) != composition(complement(skolemFOFtoCNF_X0),top)
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(join(composition(complement(skolemFOFtoCNF_X0),top),zero))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1005,plain,
( join(composition(complement(skolemFOFtoCNF_X0),top),zero) != composition(complement(skolemFOFtoCNF_X0),top)
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),join(composition(complement(skolemFOFtoCNF_X0),top),zero)) )],[refute_0_1003,refute_0_1004]) ).
cnf(refute_0_1006,plain,
join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),zero),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_851,refute_0_1005]) ).
cnf(refute_0_1007,plain,
join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) = join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(X1,$fot(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_1008,plain,
( join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) != join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),top)
| join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)))),bind(Y,$fot(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1009,plain,
( join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),top)
| join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)),join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_1006,refute_0_1009]) ).
cnf(refute_0_1011,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))
| join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),[0],$fot(join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1012,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))
| complement(skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
complement(skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_850,refute_0_1012]) ).
cnf(refute_0_1014,plain,
composition(complement(skolemFOFtoCNF_X0),top) != complement(skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_1015,plain,
( complement(skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(skolemFOFtoCNF_X0),top) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1016,plain,
complement(skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) )],[refute_0_1015,refute_0_1014]) ).
cnf(refute_0_1017,plain,
$false,
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_1013,refute_0_1016]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : REL018+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 09:31:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.45/3.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.45/3.64
% 3.45/3.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.50/3.73
%------------------------------------------------------------------------------