TSTP Solution File: REL006+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL006+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 19:43:08 EDT 2022
% Result : Theorem 2.54s 2.72s
% Output : CNFRefutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 143
% Number of leaves : 487
% Syntax : Number of formulae : 2093 (1058 unt; 0 def)
% Number of atoms : 3588 (3587 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 2990 (1495 ~;1490 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 1884 ( 26 sgn 72 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0,X1] :
( meet(converse(X0),X1) = zero
=> meet(X0,converse(X1)) = zero ) ).
fof(subgoal_0,plain,
! [X0,X1] :
( meet(converse(X0),X1) = zero
=> meet(X0,converse(X1)) = zero ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] :
( meet(converse(X0),X1) = zero
=> meet(X0,converse(X1)) = zero ),
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,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_7,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_9,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_11,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_13,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_15,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_17,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_19,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_21,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_23,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
? [X0,X1] :
( meet(X0,converse(X1)) != zero
& meet(converse(X0),X1) = zero ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_25,plain,
( meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) != zero
& meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) = zero ),
inference(skolemize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) = zero,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) != zero,
inference(conjunct,[],[normalize_0_25]) ).
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( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_10,refute_0_25]) ).
cnf(refute_0_27,plain,
X_64 = join(meet(X_64,complement(X_64)),complement(join(complement(X_64),complement(X_64)))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_64)),bind(X1,$fot(complement(X_64)))]]) ).
cnf(refute_0_28,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_29,plain,
converse(composition(X_14,converse(X0))) = composition(converse(converse(X0)),converse(X_14)),
inference(subst,[],[refute_0_28:[bind(X0,$fot(X_14)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_30,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_31,plain,
( converse(composition(X_14,converse(X0))) != composition(converse(converse(X0)),converse(X_14))
| converse(converse(X0)) != X0
| converse(composition(X_14,converse(X0))) = composition(X0,converse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_14,converse(X0))),composition(converse(converse(X0)),converse(X_14))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_32,plain,
( converse(composition(X_14,converse(X0))) != composition(converse(converse(X0)),converse(X_14))
| converse(composition(X_14,converse(X0))) = composition(X0,converse(X_14)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
converse(composition(X_14,converse(X0))) = composition(X0,converse(X_14)),
inference(resolve,[$cnf( $equal(converse(composition(X_14,converse(X0))),composition(converse(converse(X0)),converse(X_14))) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
converse(composition(join(one,one),converse(X0))) = composition(X0,converse(join(one,one))),
inference(subst,[],[refute_0_33:[bind(X_14,$fot(join(one,one)))]]) ).
cnf(refute_0_35,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_36,plain,
composition(join(X_47,one),X_49) = join(composition(X_47,X_49),composition(one,X_49)),
inference(subst,[],[refute_0_35:[bind(X0,$fot(X_47)),bind(X1,$fot(one)),bind(X2,$fot(X_49))]]) ).
cnf(refute_0_37,plain,
converse(composition(converse(X0),X_15)) = composition(converse(X_15),converse(converse(X0))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_15))]]) ).
cnf(refute_0_38,plain,
( converse(composition(converse(X0),X_15)) != composition(converse(X_15),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_15)) = composition(converse(X_15),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_15)),composition(converse(X_15),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_39,plain,
( converse(composition(converse(X0),X_15)) != composition(converse(X_15),converse(converse(X0)))
| converse(composition(converse(X0),X_15)) = composition(converse(X_15),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_30,refute_0_38]) ).
cnf(refute_0_40,plain,
converse(composition(converse(X0),X_15)) = composition(converse(X_15),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_15)),composition(converse(X_15),converse(converse(X0)))) )],[refute_0_37,refute_0_39]) ).
cnf(refute_0_41,plain,
converse(composition(converse(X_16),one)) = composition(converse(one),X_16),
inference(subst,[],[refute_0_40:[bind(X0,$fot(X_16)),bind(X_15,$fot(one))]]) ).
cnf(refute_0_42,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_43,plain,
composition(converse(X_16),one) = converse(X_16),
inference(subst,[],[refute_0_42:[bind(X0,$fot(converse(X_16)))]]) ).
cnf(refute_0_44,plain,
( composition(converse(X_16),one) != converse(X_16)
| converse(composition(converse(X_16),one)) != composition(converse(one),X_16)
| converse(converse(X_16)) = composition(converse(one),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_16),one)),composition(converse(one),X_16)) ),[0,0],$fot(converse(X_16))]]) ).
cnf(refute_0_45,plain,
( converse(composition(converse(X_16),one)) != composition(converse(one),X_16)
| converse(converse(X_16)) = composition(converse(one),X_16) ),
inference(resolve,[$cnf( $equal(composition(converse(X_16),one),converse(X_16)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
converse(converse(X_16)) = composition(converse(one),X_16),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_16),one)),composition(converse(one),X_16)) )],[refute_0_41,refute_0_45]) ).
cnf(refute_0_47,plain,
converse(converse(X_16)) = X_16,
inference(subst,[],[refute_0_30:[bind(X0,$fot(X_16))]]) ).
cnf(refute_0_48,plain,
( converse(converse(X_16)) != X_16
| converse(converse(X_16)) != composition(converse(one),X_16)
| X_16 = composition(converse(one),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_16)),composition(converse(one),X_16)) ),[0],$fot(X_16)]]) ).
cnf(refute_0_49,plain,
( converse(converse(X_16)) != composition(converse(one),X_16)
| X_16 = composition(converse(one),X_16) ),
inference(resolve,[$cnf( $equal(converse(converse(X_16)),X_16) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
X_16 = composition(converse(one),X_16),
inference(resolve,[$cnf( $equal(converse(converse(X_16)),composition(converse(one),X_16)) )],[refute_0_46,refute_0_49]) ).
cnf(refute_0_51,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_42:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_52,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_50:[bind(X_16,$fot(one))]]) ).
cnf(refute_0_53,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_54,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_56,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_51,refute_0_56]) ).
cnf(refute_0_58,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_59,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
composition(converse(one),X_16) = composition(converse(one),X_16),
introduced(tautology,[refl,[$fot(composition(converse(one),X_16))]]) ).
cnf(refute_0_61,plain,
( composition(converse(one),X_16) != composition(converse(one),X_16)
| converse(one) != one
| composition(converse(one),X_16) = composition(one,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_16),composition(converse(one),X_16)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_62,plain,
( converse(one) != one
| composition(converse(one),X_16) = composition(one,X_16) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_16),composition(converse(one),X_16)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
composition(converse(one),X_16) = composition(one,X_16),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
( X_16 != composition(converse(one),X_16)
| composition(converse(one),X_16) != composition(one,X_16)
| X_16 = composition(one,X_16) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_16,composition(one,X_16)) ),[0],$fot(composition(converse(one),X_16))]]) ).
cnf(refute_0_65,plain,
( X_16 != composition(converse(one),X_16)
| X_16 = composition(one,X_16) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_16),composition(one,X_16)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
X_16 = composition(one,X_16),
inference(resolve,[$cnf( $equal(X_16,composition(converse(one),X_16)) )],[refute_0_50,refute_0_65]) ).
cnf(refute_0_67,plain,
X_49 = composition(one,X_49),
inference(subst,[],[refute_0_66:[bind(X_16,$fot(X_49))]]) ).
cnf(refute_0_68,plain,
( X_49 != composition(one,X_49)
| composition(one,X_49) = X_49 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_49)),bind(Y,$fot(composition(one,X_49)))]]) ).
cnf(refute_0_69,plain,
composition(one,X_49) = X_49,
inference(resolve,[$cnf( $equal(X_49,composition(one,X_49)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( composition(join(X_47,one),X_49) != join(composition(X_47,X_49),composition(one,X_49))
| composition(one,X_49) != X_49
| composition(join(X_47,one),X_49) = join(composition(X_47,X_49),X_49) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_47,one),X_49),join(composition(X_47,X_49),composition(one,X_49))) ),[1,1],$fot(X_49)]]) ).
cnf(refute_0_71,plain,
( composition(join(X_47,one),X_49) != join(composition(X_47,X_49),composition(one,X_49))
| composition(join(X_47,one),X_49) = join(composition(X_47,X_49),X_49) ),
inference(resolve,[$cnf( $equal(composition(one,X_49),X_49) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
composition(join(X_47,one),X_49) = join(composition(X_47,X_49),X_49),
inference(resolve,[$cnf( $equal(composition(join(X_47,one),X_49),join(composition(X_47,X_49),composition(one,X_49))) )],[refute_0_36,refute_0_71]) ).
cnf(refute_0_73,plain,
join(composition(X_47,X_49),X_49) = join(X_49,composition(X_47,X_49)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X_49)),bind(X1,$fot(composition(X_47,X_49)))]]) ).
cnf(refute_0_74,plain,
( composition(join(X_47,one),X_49) != join(composition(X_47,X_49),X_49)
| join(composition(X_47,X_49),X_49) != join(X_49,composition(X_47,X_49))
| composition(join(X_47,one),X_49) = join(X_49,composition(X_47,X_49)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_47,one),X_49),join(X_49,composition(X_47,X_49))) ),[0],$fot(join(composition(X_47,X_49),X_49))]]) ).
cnf(refute_0_75,plain,
( composition(join(X_47,one),X_49) != join(composition(X_47,X_49),X_49)
| composition(join(X_47,one),X_49) = join(X_49,composition(X_47,X_49)) ),
inference(resolve,[$cnf( $equal(join(composition(X_47,X_49),X_49),join(X_49,composition(X_47,X_49))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
composition(join(X_47,one),X_49) = join(X_49,composition(X_47,X_49)),
inference(resolve,[$cnf( $equal(composition(join(X_47,one),X_49),join(composition(X_47,X_49),X_49)) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
composition(join(one,one),X_51) = join(X_51,composition(one,X_51)),
inference(subst,[],[refute_0_76:[bind(X_47,$fot(one)),bind(X_49,$fot(X_51))]]) ).
cnf(refute_0_78,plain,
X_51 = composition(one,X_51),
inference(subst,[],[refute_0_66:[bind(X_16,$fot(X_51))]]) ).
cnf(refute_0_79,plain,
( X_51 != composition(one,X_51)
| composition(one,X_51) = X_51 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_51)),bind(Y,$fot(composition(one,X_51)))]]) ).
cnf(refute_0_80,plain,
composition(one,X_51) = X_51,
inference(resolve,[$cnf( $equal(X_51,composition(one,X_51)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( composition(join(one,one),X_51) != join(X_51,composition(one,X_51))
| composition(one,X_51) != X_51
| composition(join(one,one),X_51) = join(X_51,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_51),join(X_51,composition(one,X_51))) ),[1,1],$fot(X_51)]]) ).
cnf(refute_0_82,plain,
( composition(join(one,one),X_51) != join(X_51,composition(one,X_51))
| composition(join(one,one),X_51) = join(X_51,X_51) ),
inference(resolve,[$cnf( $equal(composition(one,X_51),X_51) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
composition(join(one,one),X_51) = join(X_51,X_51),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_51),join(X_51,composition(one,X_51))) )],[refute_0_77,refute_0_82]) ).
cnf(refute_0_84,plain,
composition(join(one,one),converse(X0)) = join(converse(X0),converse(X0)),
inference(subst,[],[refute_0_83:[bind(X_51,$fot(converse(X0)))]]) ).
cnf(refute_0_85,plain,
( composition(join(one,one),converse(X0)) != join(converse(X0),converse(X0))
| converse(composition(join(one,one),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,one),converse(X0))),composition(X0,converse(join(one,one)))) ),[0,0],$fot(join(converse(X0),converse(X0)))]]) ).
cnf(refute_0_86,plain,
( converse(composition(join(one,one),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),converse(X0)),join(converse(X0),converse(X0))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,one),converse(X0))),composition(X0,converse(join(one,one)))) )],[refute_0_34,refute_0_86]) ).
cnf(refute_0_88,plain,
join(X0,converse(converse(X0))) = join(X0,converse(converse(X0))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(X0))))]]) ).
cnf(refute_0_89,plain,
( converse(converse(X0)) != X0
| join(X0,converse(converse(X0))) != join(X0,converse(converse(X0)))
| join(X0,converse(converse(X0))) = join(X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_90,plain,
( converse(converse(X0)) != X0
| join(X0,converse(converse(X0))) = join(X0,X0) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,converse(converse(X0)))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
join(X0,converse(converse(X0))) = join(X0,X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_30,refute_0_90]) ).
cnf(refute_0_92,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_93,plain,
converse(join(converse(X0),X_5)) = join(converse(converse(X0)),converse(X_5)),
inference(subst,[],[refute_0_92:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_5))]]) ).
cnf(refute_0_94,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_5)) != join(converse(converse(X0)),converse(X_5))
| converse(join(converse(X0),X_5)) = join(X0,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_95,plain,
( converse(join(converse(X0),X_5)) != join(converse(converse(X0)),converse(X_5))
| converse(join(converse(X0),X_5)) = join(X0,converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_30,refute_0_94]) ).
cnf(refute_0_96,plain,
converse(join(converse(X0),X_5)) = join(X0,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) )],[refute_0_93,refute_0_95]) ).
cnf(refute_0_97,plain,
converse(join(converse(X0),converse(X0))) = join(X0,converse(converse(X0))),
inference(subst,[],[refute_0_96:[bind(X_5,$fot(converse(X0)))]]) ).
cnf(refute_0_98,plain,
( converse(join(converse(X0),converse(X0))) != join(X0,converse(converse(X0)))
| join(X0,converse(converse(X0))) != join(X0,X0)
| converse(join(converse(X0),converse(X0))) = join(X0,X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(converse(X0),converse(X0))))),bind(Y,$fot(join(X0,converse(converse(X0))))),bind(Z,$fot(join(X0,X0)))]]) ).
cnf(refute_0_99,plain,
( join(X0,converse(converse(X0))) != join(X0,X0)
| converse(join(converse(X0),converse(X0))) = join(X0,X0) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),join(X0,converse(converse(X0)))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
converse(join(converse(X0),converse(X0))) = join(X0,X0),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,X0)) )],[refute_0_91,refute_0_99]) ).
cnf(refute_0_101,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) != join(X0,X0)
| join(X0,X0) = composition(X0,converse(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(X0))),composition(X0,converse(join(one,one)))) ),[0],$fot(join(X0,X0))]]) ).
cnf(refute_0_102,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,converse(join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),join(X0,X0)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
converse(join(one,X1)) = join(converse(one),converse(X1)),
inference(subst,[],[refute_0_92:[bind(X0,$fot(one))]]) ).
cnf(refute_0_104,plain,
( converse(join(one,X1)) != join(converse(one),converse(X1))
| converse(one) != one
| converse(join(one,X1)) = join(one,converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,X1)),join(converse(one),converse(X1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_105,plain,
( converse(join(one,X1)) != join(converse(one),converse(X1))
| converse(join(one,X1)) = join(one,converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_59,refute_0_104]) ).
cnf(refute_0_106,plain,
converse(join(one,X1)) = join(one,converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(one,X1)),join(converse(one),converse(X1))) )],[refute_0_103,refute_0_105]) ).
cnf(refute_0_107,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_0_106:[bind(X1,$fot(one))]]) ).
cnf(refute_0_108,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(one) != one
| converse(join(one,one)) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_109,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_59,refute_0_108]) ).
cnf(refute_0_110,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_107,refute_0_109]) ).
cnf(refute_0_111,plain,
composition(X0,converse(join(one,one))) = composition(X0,converse(join(one,one))),
introduced(tautology,[refl,[$fot(composition(X0,converse(join(one,one))))]]) ).
cnf(refute_0_112,plain,
( composition(X0,converse(join(one,one))) != composition(X0,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| composition(X0,converse(join(one,one))) = composition(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_113,plain,
( converse(join(one,one)) != join(one,one)
| composition(X0,converse(join(one,one))) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,converse(join(one,one)))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
composition(X0,converse(join(one,one))) = composition(X0,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
( composition(X0,converse(join(one,one))) != composition(X0,join(one,one))
| join(X0,X0) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,X0),composition(X0,converse(join(one,one)))) ),[1],$fot(composition(X0,join(one,one)))]]) ).
cnf(refute_0_116,plain,
( join(X0,X0) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,join(one,one))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(X0,X0),composition(X0,converse(join(one,one)))) )],[refute_0_102,refute_0_116]) ).
cnf(refute_0_118,plain,
join(X0,X0) = composition(X0,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),composition(X0,converse(join(one,one)))) )],[refute_0_87,refute_0_117]) ).
cnf(refute_0_119,plain,
join(complement(X_64),complement(X_64)) = composition(complement(X_64),join(one,one)),
inference(subst,[],[refute_0_118:[bind(X0,$fot(complement(X_64)))]]) ).
cnf(refute_0_120,plain,
( X_64 != join(meet(X_64,complement(X_64)),complement(join(complement(X_64),complement(X_64))))
| join(complement(X_64),complement(X_64)) != composition(complement(X_64),join(one,one))
| X_64 = join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_64,join(meet(X_64,complement(X_64)),complement(join(complement(X_64),complement(X_64))))) ),[1,1,0],$fot(composition(complement(X_64),join(one,one)))]]) ).
cnf(refute_0_121,plain,
( X_64 != join(meet(X_64,complement(X_64)),complement(join(complement(X_64),complement(X_64))))
| X_64 = join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),complement(X_64)),composition(complement(X_64),join(one,one))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
X_64 = join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))),
inference(resolve,[$cnf( $equal(X_64,join(meet(X_64,complement(X_64)),complement(join(complement(X_64),complement(X_64))))) )],[refute_0_27,refute_0_121]) ).
cnf(refute_0_123,plain,
join(complement(X_59),complement(X_59)) = composition(complement(X_59),join(one,one)),
inference(subst,[],[refute_0_118:[bind(X0,$fot(complement(X_59)))]]) ).
cnf(refute_0_124,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_125,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_126,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_127,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) = complement(X1),
inference(subst,[],[refute_0_128:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_130,plain,
X1 = composition(converse(one),X1),
inference(subst,[],[refute_0_50:[bind(X_16,$fot(X1))]]) ).
cnf(refute_0_131,plain,
( X1 != composition(converse(one),X1)
| composition(converse(one),X1) = X1 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X1)),bind(Y,$fot(composition(converse(one),X1)))]]) ).
cnf(refute_0_132,plain,
composition(converse(one),X1) = X1,
inference(resolve,[$cnf( $equal(X1,composition(converse(one),X1)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
( composition(converse(one),X1) != X1
| join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))),complement(X1)) ),[0,1,1,0],$fot(X1)]]) ).
cnf(refute_0_134,plain,
( join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X1),X1) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))),complement(X1)) )],[refute_0_129,refute_0_134]) ).
cnf(refute_0_136,plain,
converse(converse(one)) = one,
inference(subst,[],[refute_0_30:[bind(X0,$fot(one))]]) ).
cnf(refute_0_137,plain,
composition(converse(converse(one)),complement(X1)) = composition(converse(converse(one)),complement(X1)),
introduced(tautology,[refl,[$fot(composition(converse(converse(one)),complement(X1)))]]) ).
cnf(refute_0_138,plain,
( composition(converse(converse(one)),complement(X1)) != composition(converse(converse(one)),complement(X1))
| converse(converse(one)) != one
| composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(converse(converse(one)),complement(X1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_139,plain,
( converse(converse(one)) != one
| composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(converse(converse(one)),complement(X1))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)),
inference(resolve,[$cnf( $equal(converse(converse(one)),one) )],[refute_0_136,refute_0_139]) ).
cnf(refute_0_141,plain,
join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(converse(converse(one)),complement(X1))),
introduced(tautology,[refl,[$fot(join(complement(X1),composition(converse(converse(one)),complement(X1))))]]) ).
cnf(refute_0_142,plain,
( composition(converse(converse(one)),complement(X1)) != composition(one,complement(X1))
| join(complement(X1),composition(converse(converse(one)),complement(X1))) != join(complement(X1),composition(converse(converse(one)),complement(X1)))
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(one,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(converse(converse(one)),complement(X1)))) ),[1,1],$fot(composition(one,complement(X1)))]]) ).
cnf(refute_0_143,plain,
( composition(converse(converse(one)),complement(X1)) != composition(one,complement(X1))
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(one,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(converse(converse(one)),complement(X1)))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(one,complement(X1))),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(one,complement(X1))) )],[refute_0_140,refute_0_143]) ).
cnf(refute_0_145,plain,
( join(complement(X1),composition(converse(converse(one)),complement(X1))) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) != join(complement(X1),composition(one,complement(X1)))
| join(complement(X1),composition(one,complement(X1))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),complement(X1)) ),[0],$fot(join(complement(X1),composition(one,complement(X1))))]]) ).
cnf(refute_0_146,plain,
( join(complement(X1),composition(converse(converse(one)),complement(X1))) != complement(X1)
| join(complement(X1),composition(one,complement(X1))) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(one,complement(X1)))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
join(complement(X1),composition(one,complement(X1))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),complement(X1)) )],[refute_0_135,refute_0_146]) ).
cnf(refute_0_148,plain,
( X_16 != composition(one,X_16)
| composition(one,X_16) = X_16 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_16)),bind(Y,$fot(composition(one,X_16)))]]) ).
cnf(refute_0_149,plain,
composition(one,X_16) = X_16,
inference(resolve,[$cnf( $equal(X_16,composition(one,X_16)) )],[refute_0_66,refute_0_148]) ).
cnf(refute_0_150,plain,
composition(one,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_149:[bind(X_16,$fot(complement(X1)))]]) ).
cnf(refute_0_151,plain,
join(complement(X1),composition(one,complement(X1))) = join(complement(X1),composition(one,complement(X1))),
introduced(tautology,[refl,[$fot(join(complement(X1),composition(one,complement(X1))))]]) ).
cnf(refute_0_152,plain,
( composition(one,complement(X1)) != complement(X1)
| join(complement(X1),composition(one,complement(X1))) != join(complement(X1),composition(one,complement(X1)))
| join(complement(X1),composition(one,complement(X1))) = join(complement(X1),complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),join(complement(X1),composition(one,complement(X1)))) ),[1,1],$fot(complement(X1))]]) ).
cnf(refute_0_153,plain,
( composition(one,complement(X1)) != complement(X1)
| join(complement(X1),composition(one,complement(X1))) = join(complement(X1),complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),join(complement(X1),composition(one,complement(X1)))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
join(complement(X1),composition(one,complement(X1))) = join(complement(X1),complement(X1)),
inference(resolve,[$cnf( $equal(composition(one,complement(X1)),complement(X1)) )],[refute_0_150,refute_0_153]) ).
cnf(refute_0_155,plain,
( join(complement(X1),composition(one,complement(X1))) != complement(X1)
| join(complement(X1),composition(one,complement(X1))) != join(complement(X1),complement(X1))
| join(complement(X1),complement(X1)) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),complement(X1)) ),[0],$fot(join(complement(X1),complement(X1)))]]) ).
cnf(refute_0_156,plain,
( join(complement(X1),composition(one,complement(X1))) != complement(X1)
| join(complement(X1),complement(X1)) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),join(complement(X1),complement(X1))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),complement(X1)) )],[refute_0_147,refute_0_156]) ).
cnf(refute_0_158,plain,
join(complement(X_59),complement(X_59)) = complement(X_59),
inference(subst,[],[refute_0_157:[bind(X1,$fot(X_59))]]) ).
cnf(refute_0_159,plain,
( join(complement(X_59),complement(X_59)) != complement(X_59)
| join(complement(X_59),complement(X_59)) != composition(complement(X_59),join(one,one))
| complement(X_59) = composition(complement(X_59),join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_59),complement(X_59)),composition(complement(X_59),join(one,one))) ),[0],$fot(complement(X_59))]]) ).
cnf(refute_0_160,plain,
( join(complement(X_59),complement(X_59)) != composition(complement(X_59),join(one,one))
| complement(X_59) = composition(complement(X_59),join(one,one)) ),
inference(resolve,[$cnf( $equal(join(complement(X_59),complement(X_59)),complement(X_59)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
complement(X_59) = composition(complement(X_59),join(one,one)),
inference(resolve,[$cnf( $equal(join(complement(X_59),complement(X_59)),composition(complement(X_59),join(one,one))) )],[refute_0_123,refute_0_160]) ).
cnf(refute_0_162,plain,
( complement(X_59) != composition(complement(X_59),join(one,one))
| composition(complement(X_59),join(one,one)) = complement(X_59) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_59))),bind(Y,$fot(composition(complement(X_59),join(one,one))))]]) ).
cnf(refute_0_163,plain,
composition(complement(X_59),join(one,one)) = complement(X_59),
inference(resolve,[$cnf( $equal(complement(X_59),composition(complement(X_59),join(one,one))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
composition(complement(X_64),join(one,one)) = complement(X_64),
inference(subst,[],[refute_0_163:[bind(X_59,$fot(X_64))]]) ).
cnf(refute_0_165,plain,
complement(composition(complement(X_64),join(one,one))) = complement(composition(complement(X_64),join(one,one))),
introduced(tautology,[refl,[$fot(complement(composition(complement(X_64),join(one,one))))]]) ).
cnf(refute_0_166,plain,
( complement(composition(complement(X_64),join(one,one))) != complement(composition(complement(X_64),join(one,one)))
| composition(complement(X_64),join(one,one)) != complement(X_64)
| complement(composition(complement(X_64),join(one,one))) = complement(complement(X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(X_64),join(one,one))),complement(composition(complement(X_64),join(one,one)))) ),[1,0],$fot(complement(X_64))]]) ).
cnf(refute_0_167,plain,
( composition(complement(X_64),join(one,one)) != complement(X_64)
| complement(composition(complement(X_64),join(one,one))) = complement(complement(X_64)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(X_64),join(one,one))),complement(composition(complement(X_64),join(one,one)))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
complement(composition(complement(X_64),join(one,one))) = complement(complement(X_64)),
inference(resolve,[$cnf( $equal(composition(complement(X_64),join(one,one)),complement(X_64)) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
join(zero,complement(composition(complement(X_64),join(one,one)))) = join(zero,complement(composition(complement(X_64),join(one,one)))),
introduced(tautology,[refl,[$fot(join(zero,complement(composition(complement(X_64),join(one,one)))))]]) ).
cnf(refute_0_170,plain,
( complement(composition(complement(X_64),join(one,one))) != complement(complement(X_64))
| join(zero,complement(composition(complement(X_64),join(one,one)))) != join(zero,complement(composition(complement(X_64),join(one,one))))
| join(zero,complement(composition(complement(X_64),join(one,one)))) = join(zero,complement(complement(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(composition(complement(X_64),join(one,one)))),join(zero,complement(composition(complement(X_64),join(one,one))))) ),[1,1],$fot(complement(complement(X_64)))]]) ).
cnf(refute_0_171,plain,
( complement(composition(complement(X_64),join(one,one))) != complement(complement(X_64))
| join(zero,complement(composition(complement(X_64),join(one,one)))) = join(zero,complement(complement(X_64))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(complement(X_64),join(one,one)))),join(zero,complement(composition(complement(X_64),join(one,one))))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
join(zero,complement(composition(complement(X_64),join(one,one)))) = join(zero,complement(complement(X_64))),
inference(resolve,[$cnf( $equal(complement(composition(complement(X_64),join(one,one))),complement(complement(X_64))) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_174,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_175,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
meet(X_64,complement(X_64)) = zero,
inference(subst,[],[refute_0_175:[bind(X0,$fot(X_64))]]) ).
cnf(refute_0_177,plain,
join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))) = join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))),
introduced(tautology,[refl,[$fot(join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))))]]) ).
cnf(refute_0_178,plain,
( join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))) != join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one))))
| meet(X_64,complement(X_64)) != zero
| join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))) = join(zero,complement(composition(complement(X_64),join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))),join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_179,plain,
( meet(X_64,complement(X_64)) != zero
| join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))) = join(zero,complement(composition(complement(X_64),join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))),join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one))))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))) = join(zero,complement(composition(complement(X_64),join(one,one)))),
inference(resolve,[$cnf( $equal(meet(X_64,complement(X_64)),zero) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))) != join(zero,complement(composition(complement(X_64),join(one,one))))
| join(zero,complement(composition(complement(X_64),join(one,one)))) != join(zero,complement(complement(X_64)))
| join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))) = join(zero,complement(complement(X_64))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))))),bind(Y,$fot(join(zero,complement(composition(complement(X_64),join(one,one)))))),bind(Z,$fot(join(zero,complement(complement(X_64)))))]]) ).
cnf(refute_0_182,plain,
( join(zero,complement(composition(complement(X_64),join(one,one)))) != join(zero,complement(complement(X_64)))
| join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))) = join(zero,complement(complement(X_64))) ),
inference(resolve,[$cnf( $equal(join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))),join(zero,complement(composition(complement(X_64),join(one,one))))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))) = join(zero,complement(complement(X_64))),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(complement(X_64),join(one,one)))),join(zero,complement(complement(X_64)))) )],[refute_0_172,refute_0_182]) ).
cnf(refute_0_184,plain,
( X_64 != join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one))))
| join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))) != join(zero,complement(complement(X_64)))
| X_64 = join(zero,complement(complement(X_64))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,join(zero,complement(complement(X_64)))) ),[0],$fot(join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))))]]) ).
cnf(refute_0_185,plain,
( X_64 != join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one))))
| X_64 = join(zero,complement(complement(X_64))) ),
inference(resolve,[$cnf( $equal(join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one)))),join(zero,complement(complement(X_64)))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
X_64 = join(zero,complement(complement(X_64))),
inference(resolve,[$cnf( $equal(X_64,join(meet(X_64,complement(X_64)),complement(composition(complement(X_64),join(one,one))))) )],[refute_0_122,refute_0_185]) ).
cnf(refute_0_187,plain,
meet(top,X_29) = join(meet(meet(top,X_29),join(zero,complement(X_29))),complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(meet(top,X_29))),bind(X1,$fot(join(zero,complement(X_29))))]]) ).
cnf(refute_0_188,plain,
zero = meet(join(zero,complement(X_29)),complement(join(zero,complement(X_29)))),
inference(subst,[],[refute_0_173:[bind(X0,$fot(join(zero,complement(X_29))))]]) ).
cnf(refute_0_189,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(top))]]) ).
cnf(refute_0_190,plain,
zero = meet(join(complement(X_25),complement(X_26)),complement(join(complement(X_25),complement(X_26)))),
inference(subst,[],[refute_0_173:[bind(X0,$fot(join(complement(X_25),complement(X_26))))]]) ).
cnf(refute_0_191,plain,
meet(X_25,X_26) = complement(join(complement(X_25),complement(X_26))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_25)),bind(X1,$fot(X_26))]]) ).
cnf(refute_0_192,plain,
( meet(X_25,X_26) != complement(join(complement(X_25),complement(X_26)))
| complement(join(complement(X_25),complement(X_26))) = meet(X_25,X_26) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_25,X_26))),bind(Y,$fot(complement(join(complement(X_25),complement(X_26)))))]]) ).
cnf(refute_0_193,plain,
complement(join(complement(X_25),complement(X_26))) = meet(X_25,X_26),
inference(resolve,[$cnf( $equal(meet(X_25,X_26),complement(join(complement(X_25),complement(X_26)))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
( complement(join(complement(X_25),complement(X_26))) != meet(X_25,X_26)
| zero != meet(join(complement(X_25),complement(X_26)),complement(join(complement(X_25),complement(X_26))))
| zero = meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_25),complement(X_26)),complement(join(complement(X_25),complement(X_26))))) ),[1,1],$fot(meet(X_25,X_26))]]) ).
cnf(refute_0_195,plain,
( zero != meet(join(complement(X_25),complement(X_26)),complement(join(complement(X_25),complement(X_26))))
| zero = meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_25),complement(X_26))),meet(X_25,X_26)) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
zero = meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_25),complement(X_26)),complement(join(complement(X_25),complement(X_26))))) )],[refute_0_190,refute_0_195]) ).
cnf(refute_0_197,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_198,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_199,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
join(meet(X_25,X_26),complement(meet(X_25,X_26))) = top,
inference(subst,[],[refute_0_199:[bind(X0,$fot(meet(X_25,X_26)))]]) ).
cnf(refute_0_201,plain,
complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))) = complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))))]]) ).
cnf(refute_0_202,plain,
( complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))) != complement(join(meet(X_25,X_26),complement(meet(X_25,X_26))))
| join(meet(X_25,X_26),complement(meet(X_25,X_26))) != top
| complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))),complement(join(meet(X_25,X_26),complement(meet(X_25,X_26))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_203,plain,
( join(meet(X_25,X_26),complement(meet(X_25,X_26))) != top
| complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))),complement(join(meet(X_25,X_26),complement(meet(X_25,X_26))))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_25,X_26),complement(meet(X_25,X_26))),top) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
meet(join(complement(X_25),complement(X_26)),X1) = complement(join(complement(join(complement(X_25),complement(X_26))),complement(X1))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(join(complement(X_25),complement(X_26))))]]) ).
cnf(refute_0_206,plain,
( complement(join(complement(X_25),complement(X_26))) != meet(X_25,X_26)
| meet(join(complement(X_25),complement(X_26)),X1) != complement(join(complement(join(complement(X_25),complement(X_26))),complement(X1)))
| meet(join(complement(X_25),complement(X_26)),X1) = complement(join(meet(X_25,X_26),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_25),complement(X_26)),X1),complement(join(complement(join(complement(X_25),complement(X_26))),complement(X1)))) ),[1,0,0],$fot(meet(X_25,X_26))]]) ).
cnf(refute_0_207,plain,
( meet(join(complement(X_25),complement(X_26)),X1) != complement(join(complement(join(complement(X_25),complement(X_26))),complement(X1)))
| meet(join(complement(X_25),complement(X_26)),X1) = complement(join(meet(X_25,X_26),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_25),complement(X_26))),meet(X_25,X_26)) )],[refute_0_193,refute_0_206]) ).
cnf(refute_0_208,plain,
meet(join(complement(X_25),complement(X_26)),X1) = complement(join(meet(X_25,X_26),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_25),complement(X_26)),X1),complement(join(complement(join(complement(X_25),complement(X_26))),complement(X1)))) )],[refute_0_205,refute_0_207]) ).
cnf(refute_0_209,plain,
meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26)) = complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))),
inference(subst,[],[refute_0_208:[bind(X1,$fot(meet(X_25,X_26)))]]) ).
cnf(refute_0_210,plain,
( complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))) != complement(top)
| meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26)) != complement(join(meet(X_25,X_26),complement(meet(X_25,X_26))))
| meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26)) = complement(top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26)))),bind(Y,$fot(complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_211,plain,
( complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))) != complement(top)
| meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26)),complement(join(meet(X_25,X_26),complement(meet(X_25,X_26))))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_25,X_26),complement(meet(X_25,X_26)))),complement(top)) )],[refute_0_204,refute_0_211]) ).
cnf(refute_0_213,plain,
( meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26)) != complement(top)
| zero != meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_214,plain,
( zero != meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26)),complement(top)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_25),complement(X_26)),meet(X_25,X_26))) )],[refute_0_196,refute_0_214]) ).
cnf(refute_0_216,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_217,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
( complement(top) != zero
| meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_219,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_189,refute_0_219]) ).
cnf(refute_0_221,plain,
meet(top,X_29) = complement(join(zero,complement(X_29))),
inference(subst,[],[refute_0_220:[bind(X1,$fot(X_29))]]) ).
cnf(refute_0_222,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_223,plain,
complement(join(zero,complement(X_29))) = meet(top,X_29),
inference(resolve,[$cnf( $equal(meet(top,X_29),complement(join(zero,complement(X_29)))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( complement(join(zero,complement(X_29))) != meet(top,X_29)
| zero != meet(join(zero,complement(X_29)),complement(join(zero,complement(X_29))))
| zero = meet(join(zero,complement(X_29)),meet(top,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_29)),complement(join(zero,complement(X_29))))) ),[1,1],$fot(meet(top,X_29))]]) ).
cnf(refute_0_225,plain,
( zero != meet(join(zero,complement(X_29)),complement(join(zero,complement(X_29))))
| zero = meet(join(zero,complement(X_29)),meet(top,X_29)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_29))),meet(top,X_29)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
zero = meet(join(zero,complement(X_29)),meet(top,X_29)),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_29)),complement(join(zero,complement(X_29))))) )],[refute_0_188,refute_0_225]) ).
cnf(refute_0_227,plain,
join(complement(X_26),complement(X_25)) = join(complement(X_25),complement(X_26)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(X_26))),bind(X1,$fot(complement(X_25)))]]) ).
cnf(refute_0_228,plain,
( join(complement(X_26),complement(X_25)) != join(complement(X_25),complement(X_26))
| join(complement(X_25),complement(X_26)) = join(complement(X_26),complement(X_25)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_26),complement(X_25)))),bind(Y,$fot(join(complement(X_25),complement(X_26))))]]) ).
cnf(refute_0_229,plain,
join(complement(X_25),complement(X_26)) = join(complement(X_26),complement(X_25)),
inference(resolve,[$cnf( $equal(join(complement(X_26),complement(X_25)),join(complement(X_25),complement(X_26))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
( join(complement(X_25),complement(X_26)) != join(complement(X_26),complement(X_25))
| meet(X_25,X_26) != complement(join(complement(X_25),complement(X_26)))
| meet(X_25,X_26) = complement(join(complement(X_26),complement(X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_25,X_26),complement(join(complement(X_25),complement(X_26)))) ),[1,0],$fot(join(complement(X_26),complement(X_25)))]]) ).
cnf(refute_0_231,plain,
( meet(X_25,X_26) != complement(join(complement(X_25),complement(X_26)))
| meet(X_25,X_26) = complement(join(complement(X_26),complement(X_25))) ),
inference(resolve,[$cnf( $equal(join(complement(X_25),complement(X_26)),join(complement(X_26),complement(X_25))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
meet(X_25,X_26) = complement(join(complement(X_26),complement(X_25))),
inference(resolve,[$cnf( $equal(meet(X_25,X_26),complement(join(complement(X_25),complement(X_26)))) )],[refute_0_191,refute_0_231]) ).
cnf(refute_0_233,plain,
complement(join(complement(X_26),complement(X_25))) = meet(X_26,X_25),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_26)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_234,plain,
( complement(join(complement(X_26),complement(X_25))) != meet(X_26,X_25)
| meet(X_25,X_26) != complement(join(complement(X_26),complement(X_25)))
| meet(X_25,X_26) = meet(X_26,X_25) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_25,X_26),complement(join(complement(X_26),complement(X_25)))) ),[1],$fot(meet(X_26,X_25))]]) ).
cnf(refute_0_235,plain,
( meet(X_25,X_26) != complement(join(complement(X_26),complement(X_25)))
| meet(X_25,X_26) = meet(X_26,X_25) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_26),complement(X_25))),meet(X_26,X_25)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
meet(X_25,X_26) = meet(X_26,X_25),
inference(resolve,[$cnf( $equal(meet(X_25,X_26),complement(join(complement(X_26),complement(X_25)))) )],[refute_0_232,refute_0_235]) ).
cnf(refute_0_237,plain,
( meet(X_25,X_26) != meet(X_26,X_25)
| meet(X_26,X_25) = meet(X_25,X_26) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_25,X_26))),bind(Y,$fot(meet(X_26,X_25)))]]) ).
cnf(refute_0_238,plain,
meet(X_26,X_25) = meet(X_25,X_26),
inference(resolve,[$cnf( $equal(meet(X_25,X_26),meet(X_26,X_25)) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
meet(join(zero,complement(X_29)),meet(top,X_29)) = meet(meet(top,X_29),join(zero,complement(X_29))),
inference(subst,[],[refute_0_238:[bind(X_25,$fot(meet(top,X_29))),bind(X_26,$fot(join(zero,complement(X_29))))]]) ).
cnf(refute_0_240,plain,
( meet(join(zero,complement(X_29)),meet(top,X_29)) != meet(meet(top,X_29),join(zero,complement(X_29)))
| zero != meet(join(zero,complement(X_29)),meet(top,X_29))
| zero = meet(meet(top,X_29),join(zero,complement(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_29)),meet(top,X_29))) ),[1],$fot(meet(meet(top,X_29),join(zero,complement(X_29))))]]) ).
cnf(refute_0_241,plain,
( zero != meet(join(zero,complement(X_29)),meet(top,X_29))
| zero = meet(meet(top,X_29),join(zero,complement(X_29))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_29)),meet(top,X_29)),meet(meet(top,X_29),join(zero,complement(X_29)))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
zero = meet(meet(top,X_29),join(zero,complement(X_29))),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_29)),meet(top,X_29))) )],[refute_0_226,refute_0_241]) ).
cnf(refute_0_243,plain,
( zero != meet(meet(top,X_29),join(zero,complement(X_29)))
| meet(meet(top,X_29),join(zero,complement(X_29))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(top,X_29),join(zero,complement(X_29)))))]]) ).
cnf(refute_0_244,plain,
meet(meet(top,X_29),join(zero,complement(X_29))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_29),join(zero,complement(X_29)))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
( meet(meet(top,X_29),join(zero,complement(X_29))) != zero
| meet(top,X_29) != join(meet(meet(top,X_29),join(zero,complement(X_29))),complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))))
| meet(top,X_29) = join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_29),join(meet(meet(top,X_29),join(zero,complement(X_29))),complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_246,plain,
( meet(top,X_29) != join(meet(meet(top,X_29),join(zero,complement(X_29))),complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))))
| meet(top,X_29) = join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_29),join(zero,complement(X_29))),zero) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
meet(top,X_29) = join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))),
inference(resolve,[$cnf( $equal(meet(top,X_29),join(meet(meet(top,X_29),join(zero,complement(X_29))),complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))))) )],[refute_0_187,refute_0_246]) ).
cnf(refute_0_248,plain,
join(complement(meet(top,X_29)),complement(X_29)) = join(complement(X_29),complement(meet(top,X_29))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X_29))),bind(X1,$fot(complement(meet(top,X_29))))]]) ).
cnf(refute_0_249,plain,
join(zero,join(complement(meet(top,X_29)),complement(X_29))) = join(zero,join(complement(meet(top,X_29)),complement(X_29))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(meet(top,X_29)),complement(X_29))))]]) ).
cnf(refute_0_250,plain,
( join(complement(meet(top,X_29)),complement(X_29)) != join(complement(X_29),complement(meet(top,X_29)))
| join(zero,join(complement(meet(top,X_29)),complement(X_29))) != join(zero,join(complement(meet(top,X_29)),complement(X_29)))
| join(zero,join(complement(meet(top,X_29)),complement(X_29))) = join(zero,join(complement(X_29),complement(meet(top,X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(meet(top,X_29)),complement(X_29))),join(zero,join(complement(meet(top,X_29)),complement(X_29)))) ),[1,1],$fot(join(complement(X_29),complement(meet(top,X_29))))]]) ).
cnf(refute_0_251,plain,
( join(complement(meet(top,X_29)),complement(X_29)) != join(complement(X_29),complement(meet(top,X_29)))
| join(zero,join(complement(meet(top,X_29)),complement(X_29))) = join(zero,join(complement(X_29),complement(meet(top,X_29)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(meet(top,X_29)),complement(X_29))),join(zero,join(complement(meet(top,X_29)),complement(X_29)))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
join(zero,join(complement(meet(top,X_29)),complement(X_29))) = join(zero,join(complement(X_29),complement(meet(top,X_29)))),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_29)),complement(X_29)),join(complement(X_29),complement(meet(top,X_29)))) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
converse(converse(join(X_42,join(X_43,X_41)))) = join(X_42,join(X_43,X_41)),
inference(subst,[],[refute_0_30:[bind(X0,$fot(join(X_42,join(X_43,X_41))))]]) ).
cnf(refute_0_254,plain,
converse(join(join(X_10,X_11),X1)) = join(converse(join(X_10,X_11)),converse(X1)),
inference(subst,[],[refute_0_92:[bind(X0,$fot(join(X_10,X_11)))]]) ).
cnf(refute_0_255,plain,
join(converse(X0),converse(X1)) = join(converse(X1),converse(X0)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(converse(X0))),bind(X1,$fot(converse(X1)))]]) ).
cnf(refute_0_256,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) ),[0],$fot(join(converse(X0),converse(X1)))]]) ).
cnf(refute_0_257,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),join(converse(X1),converse(X0))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_92,refute_0_257]) ).
cnf(refute_0_259,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_260,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_92,refute_0_259]) ).
cnf(refute_0_261,plain,
join(converse(X1),converse(X0)) = converse(join(X1,X0)),
inference(subst,[],[refute_0_260:[bind(X0,$fot(X1)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_262,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| join(converse(X1),converse(X0)) != converse(join(X1,X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),converse(join(X1,X0))) ),[0],$fot(join(converse(X1),converse(X0)))]]) ).
cnf(refute_0_263,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X1),converse(X0)),converse(join(X1,X0))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
converse(join(X0,X1)) = converse(join(X1,X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) )],[refute_0_258,refute_0_263]) ).
cnf(refute_0_265,plain,
converse(join(X_10,X_11)) = converse(join(X_11,X_10)),
inference(subst,[],[refute_0_264:[bind(X0,$fot(X_10)),bind(X1,$fot(X_11))]]) ).
cnf(refute_0_266,plain,
( converse(join(X_10,X_11)) != converse(join(X_11,X_10))
| converse(join(join(X_10,X_11),X1)) != join(converse(join(X_10,X_11)),converse(X1))
| converse(join(join(X_10,X_11),X1)) = join(converse(join(X_11,X_10)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_10,X_11),X1)),join(converse(join(X_10,X_11)),converse(X1))) ),[1,0],$fot(converse(join(X_11,X_10)))]]) ).
cnf(refute_0_267,plain,
( converse(join(join(X_10,X_11),X1)) != join(converse(join(X_10,X_11)),converse(X1))
| converse(join(join(X_10,X_11),X1)) = join(converse(join(X_11,X_10)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(X_10,X_11)),converse(join(X_11,X_10))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
converse(join(join(X_10,X_11),X1)) = join(converse(join(X_11,X_10)),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(X_10,X_11),X1)),join(converse(join(X_10,X_11)),converse(X1))) )],[refute_0_254,refute_0_267]) ).
cnf(refute_0_269,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_270,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_271,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
join(join(X_10,X_11),X1) = join(X_10,join(X_11,X1)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_10)),bind(X1,$fot(X_11)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_273,plain,
converse(join(join(X_10,X_11),X1)) = converse(join(join(X_10,X_11),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_10,X_11),X1)))]]) ).
cnf(refute_0_274,plain,
( converse(join(join(X_10,X_11),X1)) != converse(join(join(X_10,X_11),X1))
| join(join(X_10,X_11),X1) != join(X_10,join(X_11,X1))
| converse(join(join(X_10,X_11),X1)) = converse(join(X_10,join(X_11,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_10,X_11),X1)),converse(join(join(X_10,X_11),X1))) ),[1,0],$fot(join(X_10,join(X_11,X1)))]]) ).
cnf(refute_0_275,plain,
( join(join(X_10,X_11),X1) != join(X_10,join(X_11,X1))
| converse(join(join(X_10,X_11),X1)) = converse(join(X_10,join(X_11,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_10,X_11),X1)),converse(join(join(X_10,X_11),X1))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
converse(join(join(X_10,X_11),X1)) = converse(join(X_10,join(X_11,X1))),
inference(resolve,[$cnf( $equal(join(join(X_10,X_11),X1),join(X_10,join(X_11,X1))) )],[refute_0_272,refute_0_275]) ).
cnf(refute_0_277,plain,
( converse(join(join(X_10,X_11),X1)) != converse(join(X_10,join(X_11,X1)))
| converse(join(join(X_10,X_11),X1)) != join(converse(join(X_11,X_10)),converse(X1))
| converse(join(X_10,join(X_11,X1))) = join(converse(join(X_11,X_10)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_10,X_11),X1)),join(converse(join(X_11,X_10)),converse(X1))) ),[0],$fot(converse(join(X_10,join(X_11,X1))))]]) ).
cnf(refute_0_278,plain,
( converse(join(join(X_10,X_11),X1)) != join(converse(join(X_11,X_10)),converse(X1))
| converse(join(X_10,join(X_11,X1))) = join(converse(join(X_11,X_10)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_10,X_11),X1)),converse(join(X_10,join(X_11,X1)))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
join(join(X_11,X_10),X1) = join(X_11,join(X_10,X1)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_11)),bind(X1,$fot(X_10)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_280,plain,
converse(join(join(X_11,X_10),X1)) = converse(join(join(X_11,X_10),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_11,X_10),X1)))]]) ).
cnf(refute_0_281,plain,
( converse(join(join(X_11,X_10),X1)) != converse(join(join(X_11,X_10),X1))
| join(join(X_11,X_10),X1) != join(X_11,join(X_10,X1))
| converse(join(join(X_11,X_10),X1)) = converse(join(X_11,join(X_10,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_11,X_10),X1)),converse(join(join(X_11,X_10),X1))) ),[1,0],$fot(join(X_11,join(X_10,X1)))]]) ).
cnf(refute_0_282,plain,
( join(join(X_11,X_10),X1) != join(X_11,join(X_10,X1))
| converse(join(join(X_11,X_10),X1)) = converse(join(X_11,join(X_10,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_11,X_10),X1)),converse(join(join(X_11,X_10),X1))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
converse(join(join(X_11,X_10),X1)) = converse(join(X_11,join(X_10,X1))),
inference(resolve,[$cnf( $equal(join(join(X_11,X_10),X1),join(X_11,join(X_10,X1))) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
join(converse(join(X_11,X_10)),converse(X1)) = converse(join(join(X_11,X_10),X1)),
inference(subst,[],[refute_0_260:[bind(X0,$fot(join(X_11,X_10)))]]) ).
cnf(refute_0_285,plain,
( converse(join(join(X_11,X_10),X1)) != converse(join(X_11,join(X_10,X1)))
| join(converse(join(X_11,X_10)),converse(X1)) != converse(join(join(X_11,X_10),X1))
| join(converse(join(X_11,X_10)),converse(X1)) = converse(join(X_11,join(X_10,X1))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(converse(join(X_11,X_10)),converse(X1)))),bind(Y,$fot(converse(join(join(X_11,X_10),X1)))),bind(Z,$fot(converse(join(X_11,join(X_10,X1)))))]]) ).
cnf(refute_0_286,plain,
( converse(join(join(X_11,X_10),X1)) != converse(join(X_11,join(X_10,X1)))
| join(converse(join(X_11,X_10)),converse(X1)) = converse(join(X_11,join(X_10,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_11,X_10)),converse(X1)),converse(join(join(X_11,X_10),X1))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
join(converse(join(X_11,X_10)),converse(X1)) = converse(join(X_11,join(X_10,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_11,X_10),X1)),converse(join(X_11,join(X_10,X1)))) )],[refute_0_283,refute_0_286]) ).
cnf(refute_0_288,plain,
( converse(join(X_10,join(X_11,X1))) != join(converse(join(X_11,X_10)),converse(X1))
| join(converse(join(X_11,X_10)),converse(X1)) != converse(join(X_11,join(X_10,X1)))
| converse(join(X_10,join(X_11,X1))) = converse(join(X_11,join(X_10,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_10,join(X_11,X1))),converse(join(X_11,join(X_10,X1)))) ),[0],$fot(join(converse(join(X_11,X_10)),converse(X1)))]]) ).
cnf(refute_0_289,plain,
( converse(join(X_10,join(X_11,X1))) != join(converse(join(X_11,X_10)),converse(X1))
| converse(join(X_10,join(X_11,X1))) = converse(join(X_11,join(X_10,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_11,X_10)),converse(X1)),converse(join(X_11,join(X_10,X1)))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
( converse(join(join(X_10,X_11),X1)) != join(converse(join(X_11,X_10)),converse(X1))
| converse(join(X_10,join(X_11,X1))) = converse(join(X_11,join(X_10,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(X_10,join(X_11,X1))),join(converse(join(X_11,X_10)),converse(X1))) )],[refute_0_278,refute_0_289]) ).
cnf(refute_0_291,plain,
converse(join(X_10,join(X_11,X1))) = converse(join(X_11,join(X_10,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_10,X_11),X1)),join(converse(join(X_11,X_10)),converse(X1))) )],[refute_0_268,refute_0_290]) ).
cnf(refute_0_292,plain,
converse(join(X_42,join(X_43,X_41))) = converse(join(X_43,join(X_42,X_41))),
inference(subst,[],[refute_0_291:[bind(X1,$fot(X_41)),bind(X_10,$fot(X_42)),bind(X_11,$fot(X_43))]]) ).
cnf(refute_0_293,plain,
( converse(converse(join(X_42,join(X_43,X_41)))) != join(X_42,join(X_43,X_41))
| converse(join(X_42,join(X_43,X_41))) != converse(join(X_43,join(X_42,X_41)))
| converse(converse(join(X_43,join(X_42,X_41)))) = join(X_42,join(X_43,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_42,join(X_43,X_41)))),join(X_42,join(X_43,X_41))) ),[0,0],$fot(converse(join(X_43,join(X_42,X_41))))]]) ).
cnf(refute_0_294,plain,
( converse(converse(join(X_42,join(X_43,X_41)))) != join(X_42,join(X_43,X_41))
| converse(converse(join(X_43,join(X_42,X_41)))) = join(X_42,join(X_43,X_41)) ),
inference(resolve,[$cnf( $equal(converse(join(X_42,join(X_43,X_41))),converse(join(X_43,join(X_42,X_41)))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
converse(converse(join(X_43,join(X_42,X_41)))) = join(X_42,join(X_43,X_41)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_42,join(X_43,X_41)))),join(X_42,join(X_43,X_41))) )],[refute_0_253,refute_0_294]) ).
cnf(refute_0_296,plain,
converse(converse(join(X_43,join(X_42,X_41)))) = join(X_43,join(X_42,X_41)),
inference(subst,[],[refute_0_30:[bind(X0,$fot(join(X_43,join(X_42,X_41))))]]) ).
cnf(refute_0_297,plain,
( converse(converse(join(X_43,join(X_42,X_41)))) != join(X_42,join(X_43,X_41))
| converse(converse(join(X_43,join(X_42,X_41)))) != join(X_43,join(X_42,X_41))
| join(X_43,join(X_42,X_41)) = join(X_42,join(X_43,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_43,join(X_42,X_41)))),join(X_42,join(X_43,X_41))) ),[0],$fot(join(X_43,join(X_42,X_41)))]]) ).
cnf(refute_0_298,plain,
( converse(converse(join(X_43,join(X_42,X_41)))) != join(X_42,join(X_43,X_41))
| join(X_43,join(X_42,X_41)) = join(X_42,join(X_43,X_41)) ),
inference(resolve,[$cnf( $equal(converse(converse(join(X_43,join(X_42,X_41)))),join(X_43,join(X_42,X_41))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
join(X_43,join(X_42,X_41)) = join(X_42,join(X_43,X_41)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_43,join(X_42,X_41)))),join(X_42,join(X_43,X_41))) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
( join(X_43,join(X_42,X_41)) != join(X_42,join(X_43,X_41))
| join(X_42,join(X_43,X_41)) = join(X_43,join(X_42,X_41)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_43,join(X_42,X_41)))),bind(Y,$fot(join(X_42,join(X_43,X_41))))]]) ).
cnf(refute_0_301,plain,
join(X_42,join(X_43,X_41)) = join(X_43,join(X_42,X_41)),
inference(resolve,[$cnf( $equal(join(X_43,join(X_42,X_41)),join(X_42,join(X_43,X_41))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
join(complement(meet(top,X_29)),join(zero,complement(X_29))) = join(zero,join(complement(meet(top,X_29)),complement(X_29))),
inference(subst,[],[refute_0_301:[bind(X_41,$fot(complement(X_29))),bind(X_42,$fot(complement(meet(top,X_29)))),bind(X_43,$fot(zero))]]) ).
cnf(refute_0_303,plain,
( join(complement(meet(top,X_29)),join(zero,complement(X_29))) != join(zero,join(complement(meet(top,X_29)),complement(X_29)))
| join(zero,join(complement(meet(top,X_29)),complement(X_29))) != join(zero,join(complement(X_29),complement(meet(top,X_29))))
| join(complement(meet(top,X_29)),join(zero,complement(X_29))) = join(zero,join(complement(X_29),complement(meet(top,X_29)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(meet(top,X_29)),join(zero,complement(X_29))))),bind(Y,$fot(join(zero,join(complement(meet(top,X_29)),complement(X_29))))),bind(Z,$fot(join(zero,join(complement(X_29),complement(meet(top,X_29))))))]]) ).
cnf(refute_0_304,plain,
( join(zero,join(complement(meet(top,X_29)),complement(X_29))) != join(zero,join(complement(X_29),complement(meet(top,X_29))))
| join(complement(meet(top,X_29)),join(zero,complement(X_29))) = join(zero,join(complement(X_29),complement(meet(top,X_29)))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_29)),join(zero,complement(X_29))),join(zero,join(complement(meet(top,X_29)),complement(X_29)))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
join(complement(meet(top,X_29)),join(zero,complement(X_29))) = join(zero,join(complement(X_29),complement(meet(top,X_29)))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(meet(top,X_29)),complement(X_29))),join(zero,join(complement(X_29),complement(meet(top,X_29))))) )],[refute_0_252,refute_0_304]) ).
cnf(refute_0_306,plain,
complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))) = complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))),
introduced(tautology,[refl,[$fot(complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))))]]) ).
cnf(refute_0_307,plain,
( complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))) != complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))
| join(complement(meet(top,X_29)),join(zero,complement(X_29))) != join(zero,join(complement(X_29),complement(meet(top,X_29))))
| complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))) = complement(join(zero,join(complement(X_29),complement(meet(top,X_29))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))),complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))) ),[1,0],$fot(join(zero,join(complement(X_29),complement(meet(top,X_29)))))]]) ).
cnf(refute_0_308,plain,
( join(complement(meet(top,X_29)),join(zero,complement(X_29))) != join(zero,join(complement(X_29),complement(meet(top,X_29))))
| complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))) = complement(join(zero,join(complement(X_29),complement(meet(top,X_29))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))),complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))) = complement(join(zero,join(complement(X_29),complement(meet(top,X_29))))),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_29)),join(zero,complement(X_29))),join(zero,join(complement(X_29),complement(meet(top,X_29))))) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))) = join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))))]]) ).
cnf(refute_0_311,plain,
( complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))) != complement(join(zero,join(complement(X_29),complement(meet(top,X_29)))))
| join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))) != join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))))
| join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))) = join(zero,complement(join(zero,join(complement(X_29),complement(meet(top,X_29)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))),join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))))) ),[1,1],$fot(complement(join(zero,join(complement(X_29),complement(meet(top,X_29))))))]]) ).
cnf(refute_0_312,plain,
( complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))) != complement(join(zero,join(complement(X_29),complement(meet(top,X_29)))))
| join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))) = join(zero,complement(join(zero,join(complement(X_29),complement(meet(top,X_29)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))),join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))) = join(zero,complement(join(zero,join(complement(X_29),complement(meet(top,X_29)))))),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))),complement(join(zero,join(complement(X_29),complement(meet(top,X_29)))))) )],[refute_0_309,refute_0_312]) ).
cnf(refute_0_314,plain,
( join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))) != join(zero,complement(join(zero,join(complement(X_29),complement(meet(top,X_29))))))
| meet(top,X_29) != join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))))
| meet(top,X_29) = join(zero,complement(join(zero,join(complement(X_29),complement(meet(top,X_29)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_29),join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))))) ),[1],$fot(join(zero,complement(join(zero,join(complement(X_29),complement(meet(top,X_29)))))))]]) ).
cnf(refute_0_315,plain,
( meet(top,X_29) != join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))))
| meet(top,X_29) = join(zero,complement(join(zero,join(complement(X_29),complement(meet(top,X_29)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29))))),join(zero,complement(join(zero,join(complement(X_29),complement(meet(top,X_29))))))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
meet(top,X_29) = join(zero,complement(join(zero,join(complement(X_29),complement(meet(top,X_29)))))),
inference(resolve,[$cnf( $equal(meet(top,X_29),join(zero,complement(join(complement(meet(top,X_29)),join(zero,complement(X_29)))))) )],[refute_0_247,refute_0_315]) ).
cnf(refute_0_317,plain,
meet(top,complement(X_66)) = join(zero,complement(join(zero,join(complement(complement(X_66)),complement(meet(top,complement(X_66))))))),
inference(subst,[],[refute_0_316:[bind(X_29,$fot(complement(X_66)))]]) ).
cnf(refute_0_318,plain,
meet(top,complement(X_66)) = complement(join(zero,complement(complement(X_66)))),
inference(subst,[],[refute_0_220:[bind(X1,$fot(complement(X_66)))]]) ).
cnf(refute_0_319,plain,
X_66 = join(zero,complement(complement(X_66))),
inference(subst,[],[refute_0_186:[bind(X_64,$fot(X_66))]]) ).
cnf(refute_0_320,plain,
( X_66 != join(zero,complement(complement(X_66)))
| join(zero,complement(complement(X_66))) = X_66 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_66)),bind(Y,$fot(join(zero,complement(complement(X_66)))))]]) ).
cnf(refute_0_321,plain,
join(zero,complement(complement(X_66))) = X_66,
inference(resolve,[$cnf( $equal(X_66,join(zero,complement(complement(X_66)))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
( join(zero,complement(complement(X_66))) != X_66
| meet(top,complement(X_66)) != complement(join(zero,complement(complement(X_66))))
| meet(top,complement(X_66)) = complement(X_66) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(X_66)),complement(join(zero,complement(complement(X_66))))) ),[1,0],$fot(X_66)]]) ).
cnf(refute_0_323,plain,
( meet(top,complement(X_66)) != complement(join(zero,complement(complement(X_66))))
| meet(top,complement(X_66)) = complement(X_66) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_66))),X_66) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
meet(top,complement(X_66)) = complement(X_66),
inference(resolve,[$cnf( $equal(meet(top,complement(X_66)),complement(join(zero,complement(complement(X_66))))) )],[refute_0_318,refute_0_323]) ).
cnf(refute_0_325,plain,
( meet(top,complement(X_66)) != complement(X_66)
| meet(top,complement(X_66)) != join(zero,complement(join(zero,join(complement(complement(X_66)),complement(meet(top,complement(X_66)))))))
| meet(top,complement(X_66)) = join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(X_66)),join(zero,complement(join(zero,join(complement(complement(X_66)),complement(meet(top,complement(X_66)))))))) ),[1,1,0,1,1,0],$fot(complement(X_66))]]) ).
cnf(refute_0_326,plain,
( meet(top,complement(X_66)) != join(zero,complement(join(zero,join(complement(complement(X_66)),complement(meet(top,complement(X_66)))))))
| meet(top,complement(X_66)) = join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(X_66)),complement(X_66)) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
meet(top,complement(X_66)) = join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))),
inference(resolve,[$cnf( $equal(meet(top,complement(X_66)),join(zero,complement(join(zero,join(complement(complement(X_66)),complement(meet(top,complement(X_66)))))))) )],[refute_0_317,refute_0_326]) ).
cnf(refute_0_328,plain,
( meet(top,complement(X_66)) != complement(X_66)
| meet(top,complement(X_66)) != join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))))
| complement(X_66) = join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(X_66)),join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))))) ),[0],$fot(complement(X_66))]]) ).
cnf(refute_0_329,plain,
( meet(top,complement(X_66)) != join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))))
| complement(X_66) = join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(X_66)),complement(X_66)) )],[refute_0_324,refute_0_328]) ).
cnf(refute_0_330,plain,
composition(complement(complement(X_66)),join(one,one)) = complement(complement(X_66)),
inference(subst,[],[refute_0_163:[bind(X_59,$fot(complement(X_66)))]]) ).
cnf(refute_0_331,plain,
join(complement(complement(X_66)),complement(complement(X_66))) = composition(complement(complement(X_66)),join(one,one)),
inference(subst,[],[refute_0_118:[bind(X0,$fot(complement(complement(X_66))))]]) ).
cnf(refute_0_332,plain,
( composition(complement(complement(X_66)),join(one,one)) != complement(complement(X_66))
| join(complement(complement(X_66)),complement(complement(X_66))) != composition(complement(complement(X_66)),join(one,one))
| join(complement(complement(X_66)),complement(complement(X_66))) = complement(complement(X_66)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(complement(X_66)),complement(complement(X_66))))),bind(Y,$fot(composition(complement(complement(X_66)),join(one,one)))),bind(Z,$fot(complement(complement(X_66))))]]) ).
cnf(refute_0_333,plain,
( composition(complement(complement(X_66)),join(one,one)) != complement(complement(X_66))
| join(complement(complement(X_66)),complement(complement(X_66))) = complement(complement(X_66)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_66)),complement(complement(X_66))),composition(complement(complement(X_66)),join(one,one))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
join(complement(complement(X_66)),complement(complement(X_66))) = complement(complement(X_66)),
inference(resolve,[$cnf( $equal(composition(complement(complement(X_66)),join(one,one)),complement(complement(X_66))) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
join(zero,join(complement(complement(X_66)),complement(complement(X_66)))) = join(zero,join(complement(complement(X_66)),complement(complement(X_66)))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))]]) ).
cnf(refute_0_336,plain,
( join(complement(complement(X_66)),complement(complement(X_66))) != complement(complement(X_66))
| join(zero,join(complement(complement(X_66)),complement(complement(X_66)))) != join(zero,join(complement(complement(X_66)),complement(complement(X_66))))
| join(zero,join(complement(complement(X_66)),complement(complement(X_66)))) = join(zero,complement(complement(X_66))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))),join(zero,join(complement(complement(X_66)),complement(complement(X_66))))) ),[1,1],$fot(complement(complement(X_66)))]]) ).
cnf(refute_0_337,plain,
( join(complement(complement(X_66)),complement(complement(X_66))) != complement(complement(X_66))
| join(zero,join(complement(complement(X_66)),complement(complement(X_66)))) = join(zero,complement(complement(X_66))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))),join(zero,join(complement(complement(X_66)),complement(complement(X_66))))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
join(zero,join(complement(complement(X_66)),complement(complement(X_66)))) = join(zero,complement(complement(X_66))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_66)),complement(complement(X_66))),complement(complement(X_66))) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
( join(zero,complement(complement(X_66))) != X_66
| join(zero,join(complement(complement(X_66)),complement(complement(X_66)))) != join(zero,complement(complement(X_66)))
| join(zero,join(complement(complement(X_66)),complement(complement(X_66)))) = X_66 ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))),bind(Y,$fot(join(zero,complement(complement(X_66))))),bind(Z,$fot(X_66))]]) ).
cnf(refute_0_340,plain,
( join(zero,complement(complement(X_66))) != X_66
| join(zero,join(complement(complement(X_66)),complement(complement(X_66)))) = X_66 ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))),join(zero,complement(complement(X_66)))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
join(zero,join(complement(complement(X_66)),complement(complement(X_66)))) = X_66,
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_66))),X_66) )],[refute_0_321,refute_0_340]) ).
cnf(refute_0_342,plain,
complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))) = complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))),
introduced(tautology,[refl,[$fot(complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))))]]) ).
cnf(refute_0_343,plain,
( complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))) != complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))
| join(zero,join(complement(complement(X_66)),complement(complement(X_66)))) != X_66
| complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))) = complement(X_66) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))),complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))) ),[1,0],$fot(X_66)]]) ).
cnf(refute_0_344,plain,
( join(zero,join(complement(complement(X_66)),complement(complement(X_66)))) != X_66
| complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))) = complement(X_66) ),
inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))),complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))) = complement(X_66),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))),X_66) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))) = join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))))]]) ).
cnf(refute_0_347,plain,
( complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))) != complement(X_66)
| join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))) != join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))))
| join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))) = join(zero,complement(X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))),join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))))) ),[1,1],$fot(complement(X_66))]]) ).
cnf(refute_0_348,plain,
( complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))) != complement(X_66)
| join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))) = join(zero,complement(X_66)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))),join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))) = join(zero,complement(X_66)),
inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))),complement(X_66)) )],[refute_0_345,refute_0_348]) ).
cnf(refute_0_350,plain,
( complement(X_66) != join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))))
| join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))) != join(zero,complement(X_66))
| complement(X_66) = join(zero,complement(X_66)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_66),join(zero,complement(X_66))) ),[0],$fot(join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))))]]) ).
cnf(refute_0_351,plain,
( complement(X_66) != join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))))
| complement(X_66) = join(zero,complement(X_66)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66)))))),join(zero,complement(X_66))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
( meet(top,complement(X_66)) != join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))))
| complement(X_66) = join(zero,complement(X_66)) ),
inference(resolve,[$cnf( $equal(complement(X_66),join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))))) )],[refute_0_329,refute_0_351]) ).
cnf(refute_0_353,plain,
complement(X_66) = join(zero,complement(X_66)),
inference(resolve,[$cnf( $equal(meet(top,complement(X_66)),join(zero,complement(join(zero,join(complement(complement(X_66)),complement(complement(X_66))))))) )],[refute_0_327,refute_0_352]) ).
cnf(refute_0_354,plain,
( complement(X_66) != join(zero,complement(X_66))
| join(zero,complement(X_66)) = complement(X_66) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_66))),bind(Y,$fot(join(zero,complement(X_66))))]]) ).
cnf(refute_0_355,plain,
join(zero,complement(X_66)) = complement(X_66),
inference(resolve,[$cnf( $equal(complement(X_66),join(zero,complement(X_66))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
join(zero,complement(complement(X_64))) = complement(complement(X_64)),
inference(subst,[],[refute_0_355:[bind(X_66,$fot(complement(X_64)))]]) ).
cnf(refute_0_357,plain,
( X_64 != join(zero,complement(complement(X_64)))
| join(zero,complement(complement(X_64))) != complement(complement(X_64))
| X_64 = complement(complement(X_64)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,complement(complement(X_64))) ),[0],$fot(join(zero,complement(complement(X_64))))]]) ).
cnf(refute_0_358,plain,
( X_64 != join(zero,complement(complement(X_64)))
| X_64 = complement(complement(X_64)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_64))),complement(complement(X_64))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
X_64 = complement(complement(X_64)),
inference(resolve,[$cnf( $equal(X_64,join(zero,complement(complement(X_64)))) )],[refute_0_186,refute_0_358]) ).
cnf(refute_0_360,plain,
meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) = complement(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_359:[bind(X_64,$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_361,plain,
X_64 = join(meet(X_64,X_65),complement(join(complement(X_64),X_65))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_64)),bind(X1,$fot(X_65))]]) ).
cnf(refute_0_362,plain,
join(X_65,complement(X_64)) = join(complement(X_64),X_65),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_65)),bind(X1,$fot(complement(X_64)))]]) ).
cnf(refute_0_363,plain,
( join(X_65,complement(X_64)) != join(complement(X_64),X_65)
| join(complement(X_64),X_65) = join(X_65,complement(X_64)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_65,complement(X_64)))),bind(Y,$fot(join(complement(X_64),X_65)))]]) ).
cnf(refute_0_364,plain,
join(complement(X_64),X_65) = join(X_65,complement(X_64)),
inference(resolve,[$cnf( $equal(join(X_65,complement(X_64)),join(complement(X_64),X_65)) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
( X_64 != join(meet(X_64,X_65),complement(join(complement(X_64),X_65)))
| join(complement(X_64),X_65) != join(X_65,complement(X_64))
| X_64 = join(meet(X_64,X_65),complement(join(X_65,complement(X_64)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_64,join(meet(X_64,X_65),complement(join(complement(X_64),X_65)))) ),[1,1,0],$fot(join(X_65,complement(X_64)))]]) ).
cnf(refute_0_366,plain,
( X_64 != join(meet(X_64,X_65),complement(join(complement(X_64),X_65)))
| X_64 = join(meet(X_64,X_65),complement(join(X_65,complement(X_64)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),X_65),join(X_65,complement(X_64))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
X_64 = join(meet(X_64,X_65),complement(join(X_65,complement(X_64)))),
inference(resolve,[$cnf( $equal(X_64,join(meet(X_64,X_65),complement(join(complement(X_64),X_65)))) )],[refute_0_361,refute_0_366]) ).
cnf(refute_0_368,plain,
join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))))),
inference(subst,[],[refute_0_367:[bind(X_64,$fot(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))),bind(X_65,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_369,plain,
skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))),complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_367:[bind(X_64,$fot(skolemFOFtoCNF_X0)),bind(X_65,$fot(converse(complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_370,plain,
meet(X_65,X_64) = meet(X_64,X_65),
inference(subst,[],[refute_0_236:[bind(X_25,$fot(X_65)),bind(X_26,$fot(X_64))]]) ).
cnf(refute_0_371,plain,
( meet(X_65,X_64) != meet(X_64,X_65)
| meet(X_64,X_65) = meet(X_65,X_64) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_65,X_64))),bind(Y,$fot(meet(X_64,X_65)))]]) ).
cnf(refute_0_372,plain,
meet(X_64,X_65) = meet(X_65,X_64),
inference(resolve,[$cnf( $equal(meet(X_65,X_64),meet(X_64,X_65)) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
( X_64 != join(meet(X_64,X_65),complement(join(complement(X_64),X_65)))
| meet(X_64,X_65) != meet(X_65,X_64)
| X_64 = join(meet(X_65,X_64),complement(join(complement(X_64),X_65))) ),
introduced(tautology,[equality,[$cnf( $equal(X_64,join(meet(X_64,X_65),complement(join(complement(X_64),X_65)))) ),[1,0],$fot(meet(X_65,X_64))]]) ).
cnf(refute_0_374,plain,
( X_64 != join(meet(X_64,X_65),complement(join(complement(X_64),X_65)))
| X_64 = join(meet(X_65,X_64),complement(join(complement(X_64),X_65))) ),
inference(resolve,[$cnf( $equal(meet(X_64,X_65),meet(X_65,X_64)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
X_64 = join(meet(X_65,X_64),complement(join(complement(X_64),X_65))),
inference(resolve,[$cnf( $equal(X_64,join(meet(X_64,X_65),complement(join(complement(X_64),X_65)))) )],[refute_0_361,refute_0_374]) ).
cnf(refute_0_376,plain,
X_64 = join(meet(join(complement(complement(X_64)),X_139),X_64),complement(join(complement(X_64),join(complement(complement(X_64)),X_139)))),
inference(subst,[],[refute_0_375:[bind(X_65,$fot(join(complement(complement(X_64)),X_139)))]]) ).
cnf(refute_0_377,plain,
join(X_135,join(complement(X_135),X_137)) = join(join(X_135,complement(X_135)),X_137),
inference(subst,[],[refute_0_269:[bind(X0,$fot(X_135)),bind(X1,$fot(complement(X_135))),bind(X2,$fot(X_137))]]) ).
cnf(refute_0_378,plain,
top = join(X_135,complement(X_135)),
inference(subst,[],[refute_0_197:[bind(X0,$fot(X_135))]]) ).
cnf(refute_0_379,plain,
( top != join(X_135,complement(X_135))
| join(X_135,complement(X_135)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_135,complement(X_135))))]]) ).
cnf(refute_0_380,plain,
join(X_135,complement(X_135)) = top,
inference(resolve,[$cnf( $equal(top,join(X_135,complement(X_135))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
( join(X_135,complement(X_135)) != top
| join(X_135,join(complement(X_135),X_137)) != join(join(X_135,complement(X_135)),X_137)
| join(X_135,join(complement(X_135),X_137)) = join(top,X_137) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_135,join(complement(X_135),X_137)),join(join(X_135,complement(X_135)),X_137)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_382,plain,
( join(X_135,join(complement(X_135),X_137)) != join(join(X_135,complement(X_135)),X_137)
| join(X_135,join(complement(X_135),X_137)) = join(top,X_137) ),
inference(resolve,[$cnf( $equal(join(X_135,complement(X_135)),top) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
join(X_135,join(complement(X_135),X_137)) = join(top,X_137),
inference(resolve,[$cnf( $equal(join(X_135,join(complement(X_135),X_137)),join(join(X_135,complement(X_135)),X_137)) )],[refute_0_377,refute_0_382]) ).
cnf(refute_0_384,plain,
join(top,X_93) = join(meet(join(top,X_93),meet(X_93,zero)),complement(join(meet(X_93,zero),complement(join(top,X_93))))),
inference(subst,[],[refute_0_367:[bind(X_64,$fot(join(top,X_93))),bind(X_65,$fot(meet(X_93,zero)))]]) ).
cnf(refute_0_385,plain,
zero = join(meet(X_92,zero),complement(join(complement(zero),X_92))),
inference(subst,[],[refute_0_375:[bind(X_64,$fot(zero)),bind(X_65,$fot(X_92))]]) ).
cnf(refute_0_386,plain,
X_64 = join(meet(X_64,complement(X1)),complement(join(complement(X_64),complement(X1)))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_64)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_387,plain,
meet(X_64,X1) = complement(join(complement(X_64),complement(X1))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_64))]]) ).
cnf(refute_0_388,plain,
( meet(X_64,X1) != complement(join(complement(X_64),complement(X1)))
| complement(join(complement(X_64),complement(X1))) = meet(X_64,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_64,X1))),bind(Y,$fot(complement(join(complement(X_64),complement(X1)))))]]) ).
cnf(refute_0_389,plain,
complement(join(complement(X_64),complement(X1))) = meet(X_64,X1),
inference(resolve,[$cnf( $equal(meet(X_64,X1),complement(join(complement(X_64),complement(X1)))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
( X_64 != join(meet(X_64,complement(X1)),complement(join(complement(X_64),complement(X1))))
| complement(join(complement(X_64),complement(X1))) != meet(X_64,X1)
| X_64 = join(meet(X_64,complement(X1)),meet(X_64,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_64,join(meet(X_64,complement(X1)),complement(join(complement(X_64),complement(X1))))) ),[1,1],$fot(meet(X_64,X1))]]) ).
cnf(refute_0_391,plain,
( X_64 != join(meet(X_64,complement(X1)),complement(join(complement(X_64),complement(X1))))
| X_64 = join(meet(X_64,complement(X1)),meet(X_64,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_64),complement(X1))),meet(X_64,X1)) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
X_64 = join(meet(X_64,complement(X1)),meet(X_64,X1)),
inference(resolve,[$cnf( $equal(X_64,join(meet(X_64,complement(X1)),complement(join(complement(X_64),complement(X1))))) )],[refute_0_386,refute_0_391]) ).
cnf(refute_0_393,plain,
join(meet(X_64,complement(X1)),meet(X_64,X1)) = join(meet(X_64,X1),meet(X_64,complement(X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X_64,X1))),bind(X1,$fot(meet(X_64,complement(X1))))]]) ).
cnf(refute_0_394,plain,
( X_64 != join(meet(X_64,complement(X1)),meet(X_64,X1))
| join(meet(X_64,complement(X1)),meet(X_64,X1)) != join(meet(X_64,X1),meet(X_64,complement(X1)))
| X_64 = join(meet(X_64,X1),meet(X_64,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,join(meet(X_64,X1),meet(X_64,complement(X1)))) ),[0],$fot(join(meet(X_64,complement(X1)),meet(X_64,X1)))]]) ).
cnf(refute_0_395,plain,
( X_64 != join(meet(X_64,complement(X1)),meet(X_64,X1))
| X_64 = join(meet(X_64,X1),meet(X_64,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_64,complement(X1)),meet(X_64,X1)),join(meet(X_64,X1),meet(X_64,complement(X1)))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
X_64 = join(meet(X_64,X1),meet(X_64,complement(X1))),
inference(resolve,[$cnf( $equal(X_64,join(meet(X_64,complement(X1)),meet(X_64,X1))) )],[refute_0_392,refute_0_395]) ).
cnf(refute_0_397,plain,
X_72 = join(meet(X_72,top),meet(X_72,complement(top))),
inference(subst,[],[refute_0_396:[bind(X1,$fot(top)),bind(X_64,$fot(X_72))]]) ).
cnf(refute_0_398,plain,
( X_72 != join(meet(X_72,top),meet(X_72,complement(top)))
| complement(top) != zero
| X_72 = join(meet(X_72,top),meet(X_72,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(X_72,join(meet(X_72,top),meet(X_72,complement(top)))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_399,plain,
( X_72 != join(meet(X_72,top),meet(X_72,complement(top)))
| X_72 = join(meet(X_72,top),meet(X_72,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_398]) ).
cnf(refute_0_400,plain,
X_72 = join(meet(X_72,top),meet(X_72,zero)),
inference(resolve,[$cnf( $equal(X_72,join(meet(X_72,top),meet(X_72,complement(top)))) )],[refute_0_397,refute_0_399]) ).
cnf(refute_0_401,plain,
X_73 = join(meet(X_73,top),meet(X_73,zero)),
inference(subst,[],[refute_0_400:[bind(X_72,$fot(X_73))]]) ).
cnf(refute_0_402,plain,
meet(zero,X_73) = meet(X_73,zero),
inference(subst,[],[refute_0_236:[bind(X_25,$fot(zero)),bind(X_26,$fot(X_73))]]) ).
cnf(refute_0_403,plain,
( meet(zero,X_73) != meet(X_73,zero)
| meet(X_73,zero) = meet(zero,X_73) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(zero,X_73))),bind(Y,$fot(meet(X_73,zero)))]]) ).
cnf(refute_0_404,plain,
meet(X_73,zero) = meet(zero,X_73),
inference(resolve,[$cnf( $equal(meet(zero,X_73),meet(X_73,zero)) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
( X_73 != join(meet(X_73,top),meet(X_73,zero))
| meet(X_73,zero) != meet(zero,X_73)
| X_73 = join(meet(X_73,top),meet(zero,X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,join(meet(X_73,top),meet(X_73,zero))) ),[1,1],$fot(meet(zero,X_73))]]) ).
cnf(refute_0_406,plain,
( X_73 != join(meet(X_73,top),meet(X_73,zero))
| X_73 = join(meet(X_73,top),meet(zero,X_73)) ),
inference(resolve,[$cnf( $equal(meet(X_73,zero),meet(zero,X_73)) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
X_73 = join(meet(X_73,top),meet(zero,X_73)),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,top),meet(X_73,zero))) )],[refute_0_401,refute_0_406]) ).
cnf(refute_0_408,plain,
complement(zero) = join(meet(complement(zero),top),meet(zero,complement(zero))),
inference(subst,[],[refute_0_407:[bind(X_73,$fot(complement(zero)))]]) ).
cnf(refute_0_409,plain,
zero = meet(zero,complement(zero)),
inference(subst,[],[refute_0_173:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_410,plain,
( zero != meet(zero,complement(zero))
| meet(zero,complement(zero)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,complement(zero))))]]) ).
cnf(refute_0_411,plain,
meet(zero,complement(zero)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,complement(zero))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| meet(zero,complement(zero)) != zero
| complement(zero) = join(meet(complement(zero),top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_413,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| complement(zero) = join(meet(complement(zero),top),zero) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(zero)),zero) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) )],[refute_0_408,refute_0_413]) ).
cnf(refute_0_415,plain,
join(zero,complement(zero)) = top,
inference(subst,[],[refute_0_199:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_416,plain,
meet(top,complement(zero)) = complement(zero),
inference(subst,[],[refute_0_324:[bind(X_66,$fot(zero))]]) ).
cnf(refute_0_417,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_12:[bind(X1,$fot(top))]]) ).
cnf(refute_0_418,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_419,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_418]) ).
cnf(refute_0_420,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_417,refute_0_419]) ).
cnf(refute_0_421,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_422,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_220,refute_0_421]) ).
cnf(refute_0_423,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_422:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_424,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_425,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_426,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_427,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_424,refute_0_427]) ).
cnf(refute_0_429,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_430,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_423,refute_0_430]) ).
cnf(refute_0_432,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_433,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_420,refute_0_433]) ).
cnf(refute_0_435,plain,
meet(complement(zero),top) = meet(top,complement(zero)),
inference(subst,[],[refute_0_434:[bind(X0,$fot(complement(zero)))]]) ).
cnf(refute_0_436,plain,
( meet(complement(zero),top) != meet(top,complement(zero))
| meet(top,complement(zero)) != complement(zero)
| meet(complement(zero),top) = complement(zero) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(complement(zero),top))),bind(Y,$fot(meet(top,complement(zero)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_437,plain,
( meet(top,complement(zero)) != complement(zero)
| meet(complement(zero),top) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),top),meet(top,complement(zero))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
meet(complement(zero),top) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,complement(zero)),complement(zero)) )],[refute_0_416,refute_0_437]) ).
cnf(refute_0_439,plain,
join(zero,meet(complement(zero),top)) = join(zero,meet(complement(zero),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(zero),top)))]]) ).
cnf(refute_0_440,plain,
( join(zero,meet(complement(zero),top)) != join(zero,meet(complement(zero),top))
| meet(complement(zero),top) != complement(zero)
| join(zero,meet(complement(zero),top)) = join(zero,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_441,plain,
( meet(complement(zero),top) != complement(zero)
| join(zero,meet(complement(zero),top)) = join(zero,complement(zero)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
join(zero,meet(complement(zero),top)) = join(zero,complement(zero)),
inference(resolve,[$cnf( $equal(meet(complement(zero),top),complement(zero)) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(complement(zero),top)) != join(zero,complement(zero))
| join(zero,meet(complement(zero),top)) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,meet(complement(zero),top)))),bind(Y,$fot(join(zero,complement(zero)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_444,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(complement(zero),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,complement(zero))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
join(zero,meet(complement(zero),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_415,refute_0_444]) ).
cnf(refute_0_446,plain,
join(meet(complement(zero),top),zero) = join(zero,meet(complement(zero),top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(meet(complement(zero),top)))]]) ).
cnf(refute_0_447,plain,
( join(meet(complement(zero),top),zero) != join(zero,meet(complement(zero),top))
| join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(complement(zero),top),zero))),bind(Y,$fot(join(zero,meet(complement(zero),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_448,plain,
( join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),join(zero,meet(complement(zero),top))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
join(meet(complement(zero),top),zero) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),top) )],[refute_0_445,refute_0_448]) ).
cnf(refute_0_450,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| join(meet(complement(zero),top),zero) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(meet(complement(zero),top),zero))]]) ).
cnf(refute_0_451,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),top) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),zero)) )],[refute_0_414,refute_0_451]) ).
cnf(refute_0_453,plain,
( complement(zero) != top
| zero != join(meet(X_92,zero),complement(join(complement(zero),X_92)))
| zero = join(meet(X_92,zero),complement(join(top,X_92))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(X_92,zero),complement(join(complement(zero),X_92)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_454,plain,
( zero != join(meet(X_92,zero),complement(join(complement(zero),X_92)))
| zero = join(meet(X_92,zero),complement(join(top,X_92))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
zero = join(meet(X_92,zero),complement(join(top,X_92))),
inference(resolve,[$cnf( $equal(zero,join(meet(X_92,zero),complement(join(complement(zero),X_92)))) )],[refute_0_385,refute_0_454]) ).
cnf(refute_0_456,plain,
zero = join(meet(X_93,zero),complement(join(top,X_93))),
inference(subst,[],[refute_0_455:[bind(X_92,$fot(X_93))]]) ).
cnf(refute_0_457,plain,
( zero != join(meet(X_93,zero),complement(join(top,X_93)))
| join(meet(X_93,zero),complement(join(top,X_93))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(join(meet(X_93,zero),complement(join(top,X_93)))))]]) ).
cnf(refute_0_458,plain,
join(meet(X_93,zero),complement(join(top,X_93))) = zero,
inference(resolve,[$cnf( $equal(zero,join(meet(X_93,zero),complement(join(top,X_93)))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
( join(meet(X_93,zero),complement(join(top,X_93))) != zero
| join(top,X_93) != join(meet(join(top,X_93),meet(X_93,zero)),complement(join(meet(X_93,zero),complement(join(top,X_93)))))
| join(top,X_93) = join(meet(join(top,X_93),meet(X_93,zero)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,X_93),join(meet(join(top,X_93),meet(X_93,zero)),complement(join(meet(X_93,zero),complement(join(top,X_93)))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_460,plain,
( join(top,X_93) != join(meet(join(top,X_93),meet(X_93,zero)),complement(join(meet(X_93,zero),complement(join(top,X_93)))))
| join(top,X_93) = join(meet(join(top,X_93),meet(X_93,zero)),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,zero),complement(join(top,X_93))),zero) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
join(top,X_93) = join(meet(join(top,X_93),meet(X_93,zero)),complement(zero)),
inference(resolve,[$cnf( $equal(join(top,X_93),join(meet(join(top,X_93),meet(X_93,zero)),complement(join(meet(X_93,zero),complement(join(top,X_93)))))) )],[refute_0_384,refute_0_460]) ).
cnf(refute_0_462,plain,
join(complement(zero),meet(join(top,X_93),meet(X_93,zero))) = join(complement(zero),meet(join(top,X_93),meet(X_93,zero))),
introduced(tautology,[refl,[$fot(join(complement(zero),meet(join(top,X_93),meet(X_93,zero))))]]) ).
cnf(refute_0_463,plain,
( complement(zero) != top
| join(complement(zero),meet(join(top,X_93),meet(X_93,zero))) != join(complement(zero),meet(join(top,X_93),meet(X_93,zero)))
| join(complement(zero),meet(join(top,X_93),meet(X_93,zero))) = join(top,meet(join(top,X_93),meet(X_93,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(join(top,X_93),meet(X_93,zero))),join(complement(zero),meet(join(top,X_93),meet(X_93,zero)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_464,plain,
( complement(zero) != top
| join(complement(zero),meet(join(top,X_93),meet(X_93,zero))) = join(top,meet(join(top,X_93),meet(X_93,zero))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(top,X_93),meet(X_93,zero))),join(complement(zero),meet(join(top,X_93),meet(X_93,zero)))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
join(complement(zero),meet(join(top,X_93),meet(X_93,zero))) = join(top,meet(join(top,X_93),meet(X_93,zero))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_452,refute_0_464]) ).
cnf(refute_0_466,plain,
join(meet(join(top,X_93),meet(X_93,zero)),complement(zero)) = join(complement(zero),meet(join(top,X_93),meet(X_93,zero))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(zero))),bind(X1,$fot(meet(join(top,X_93),meet(X_93,zero))))]]) ).
cnf(refute_0_467,plain,
( join(complement(zero),meet(join(top,X_93),meet(X_93,zero))) != join(top,meet(join(top,X_93),meet(X_93,zero)))
| join(meet(join(top,X_93),meet(X_93,zero)),complement(zero)) != join(complement(zero),meet(join(top,X_93),meet(X_93,zero)))
| join(meet(join(top,X_93),meet(X_93,zero)),complement(zero)) = join(top,meet(join(top,X_93),meet(X_93,zero))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(join(top,X_93),meet(X_93,zero)),complement(zero)))),bind(Y,$fot(join(complement(zero),meet(join(top,X_93),meet(X_93,zero))))),bind(Z,$fot(join(top,meet(join(top,X_93),meet(X_93,zero)))))]]) ).
cnf(refute_0_468,plain,
( join(complement(zero),meet(join(top,X_93),meet(X_93,zero))) != join(top,meet(join(top,X_93),meet(X_93,zero)))
| join(meet(join(top,X_93),meet(X_93,zero)),complement(zero)) = join(top,meet(join(top,X_93),meet(X_93,zero))) ),
inference(resolve,[$cnf( $equal(join(meet(join(top,X_93),meet(X_93,zero)),complement(zero)),join(complement(zero),meet(join(top,X_93),meet(X_93,zero)))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
join(meet(join(top,X_93),meet(X_93,zero)),complement(zero)) = join(top,meet(join(top,X_93),meet(X_93,zero))),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(top,X_93),meet(X_93,zero))),join(top,meet(join(top,X_93),meet(X_93,zero)))) )],[refute_0_465,refute_0_468]) ).
cnf(refute_0_470,plain,
( join(meet(join(top,X_93),meet(X_93,zero)),complement(zero)) != join(top,meet(join(top,X_93),meet(X_93,zero)))
| join(top,X_93) != join(meet(join(top,X_93),meet(X_93,zero)),complement(zero))
| join(top,X_93) = join(top,meet(join(top,X_93),meet(X_93,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,X_93),join(meet(join(top,X_93),meet(X_93,zero)),complement(zero))) ),[1],$fot(join(top,meet(join(top,X_93),meet(X_93,zero))))]]) ).
cnf(refute_0_471,plain,
( join(top,X_93) != join(meet(join(top,X_93),meet(X_93,zero)),complement(zero))
| join(top,X_93) = join(top,meet(join(top,X_93),meet(X_93,zero))) ),
inference(resolve,[$cnf( $equal(join(meet(join(top,X_93),meet(X_93,zero)),complement(zero)),join(top,meet(join(top,X_93),meet(X_93,zero)))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
join(top,X_93) = join(top,meet(join(top,X_93),meet(X_93,zero))),
inference(resolve,[$cnf( $equal(join(top,X_93),join(meet(join(top,X_93),meet(X_93,zero)),complement(zero))) )],[refute_0_461,refute_0_471]) ).
cnf(refute_0_473,plain,
X1 = join(meet(X1,X1),meet(X1,complement(X1))),
inference(subst,[],[refute_0_396:[bind(X_64,$fot(X1))]]) ).
cnf(refute_0_474,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_475,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_476,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_0_157,refute_0_475]) ).
cnf(refute_0_477,plain,
meet(X1,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_0_474,refute_0_476]) ).
cnf(refute_0_478,plain,
( X_64 != complement(complement(X_64))
| complement(complement(X_64)) = X_64 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_64)),bind(Y,$fot(complement(complement(X_64))))]]) ).
cnf(refute_0_479,plain,
complement(complement(X_64)) = X_64,
inference(resolve,[$cnf( $equal(X_64,complement(complement(X_64))) )],[refute_0_359,refute_0_478]) ).
cnf(refute_0_480,plain,
complement(complement(X1)) = X1,
inference(subst,[],[refute_0_479:[bind(X_64,$fot(X1))]]) ).
cnf(refute_0_481,plain,
( complement(complement(X1)) != X1
| meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_0_482,plain,
( meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
meet(X1,X1) = X1,
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) )],[refute_0_477,refute_0_482]) ).
cnf(refute_0_484,plain,
( X1 != join(meet(X1,X1),meet(X1,complement(X1)))
| meet(X1,X1) != X1
| X1 = join(X1,meet(X1,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(X1,join(meet(X1,X1),meet(X1,complement(X1)))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_485,plain,
( X1 != join(meet(X1,X1),meet(X1,complement(X1)))
| X1 = join(X1,meet(X1,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(X1,X1),X1) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
X1 = join(X1,meet(X1,complement(X1))),
inference(resolve,[$cnf( $equal(X1,join(meet(X1,X1),meet(X1,complement(X1)))) )],[refute_0_473,refute_0_485]) ).
cnf(refute_0_487,plain,
meet(X1,complement(X1)) = zero,
inference(subst,[],[refute_0_175:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_488,plain,
join(X1,meet(X1,complement(X1))) = join(X1,meet(X1,complement(X1))),
introduced(tautology,[refl,[$fot(join(X1,meet(X1,complement(X1))))]]) ).
cnf(refute_0_489,plain,
( join(X1,meet(X1,complement(X1))) != join(X1,meet(X1,complement(X1)))
| meet(X1,complement(X1)) != zero
| join(X1,meet(X1,complement(X1))) = join(X1,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,meet(X1,complement(X1))),join(X1,meet(X1,complement(X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_490,plain,
( meet(X1,complement(X1)) != zero
| join(X1,meet(X1,complement(X1))) = join(X1,zero) ),
inference(resolve,[$cnf( $equal(join(X1,meet(X1,complement(X1))),join(X1,meet(X1,complement(X1)))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
join(X1,meet(X1,complement(X1))) = join(X1,zero),
inference(resolve,[$cnf( $equal(meet(X1,complement(X1)),zero) )],[refute_0_487,refute_0_490]) ).
cnf(refute_0_492,plain,
( X1 != join(X1,meet(X1,complement(X1)))
| join(X1,meet(X1,complement(X1))) != join(X1,zero)
| X1 = join(X1,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X1,join(X1,zero)) ),[0],$fot(join(X1,meet(X1,complement(X1))))]]) ).
cnf(refute_0_493,plain,
( X1 != join(X1,meet(X1,complement(X1)))
| X1 = join(X1,zero) ),
inference(resolve,[$cnf( $equal(join(X1,meet(X1,complement(X1))),join(X1,zero)) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
X1 = join(X1,zero),
inference(resolve,[$cnf( $equal(X1,join(X1,meet(X1,complement(X1)))) )],[refute_0_486,refute_0_493]) ).
cnf(refute_0_495,plain,
( X1 != join(X1,zero)
| join(X1,zero) = X1 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X1)),bind(Y,$fot(join(X1,zero)))]]) ).
cnf(refute_0_496,plain,
join(X1,zero) = X1,
inference(resolve,[$cnf( $equal(X1,join(X1,zero)) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
join(top,zero) = top,
inference(subst,[],[refute_0_496:[bind(X1,$fot(top))]]) ).
cnf(refute_0_498,plain,
zero = join(meet(zero,X_89),complement(join(X_89,complement(zero)))),
inference(subst,[],[refute_0_367:[bind(X_64,$fot(zero)),bind(X_65,$fot(X_89))]]) ).
cnf(refute_0_499,plain,
( complement(zero) != top
| zero != join(meet(zero,X_89),complement(join(X_89,complement(zero))))
| zero = join(meet(zero,X_89),complement(join(X_89,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_89),complement(join(X_89,complement(zero))))) ),[1,1,0,1],$fot(top)]]) ).
cnf(refute_0_500,plain,
( zero != join(meet(zero,X_89),complement(join(X_89,complement(zero))))
| zero = join(meet(zero,X_89),complement(join(X_89,top))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_452,refute_0_499]) ).
cnf(refute_0_501,plain,
zero = join(meet(zero,X_89),complement(join(X_89,top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_89),complement(join(X_89,complement(zero))))) )],[refute_0_498,refute_0_500]) ).
cnf(refute_0_502,plain,
zero = join(meet(zero,X_90),complement(join(X_90,top))),
inference(subst,[],[refute_0_501:[bind(X_89,$fot(X_90))]]) ).
cnf(refute_0_503,plain,
meet(X_90,zero) = meet(zero,X_90),
inference(subst,[],[refute_0_236:[bind(X_25,$fot(X_90)),bind(X_26,$fot(zero))]]) ).
cnf(refute_0_504,plain,
( meet(X_90,zero) != meet(zero,X_90)
| meet(zero,X_90) = meet(X_90,zero) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_90,zero))),bind(Y,$fot(meet(zero,X_90)))]]) ).
cnf(refute_0_505,plain,
meet(zero,X_90) = meet(X_90,zero),
inference(resolve,[$cnf( $equal(meet(X_90,zero),meet(zero,X_90)) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
( meet(zero,X_90) != meet(X_90,zero)
| zero != join(meet(zero,X_90),complement(join(X_90,top)))
| zero = join(meet(X_90,zero),complement(join(X_90,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_90),complement(join(X_90,top)))) ),[1,0],$fot(meet(X_90,zero))]]) ).
cnf(refute_0_507,plain,
( zero != join(meet(zero,X_90),complement(join(X_90,top)))
| zero = join(meet(X_90,zero),complement(join(X_90,top))) ),
inference(resolve,[$cnf( $equal(meet(zero,X_90),meet(X_90,zero)) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
zero = join(meet(X_90,zero),complement(join(X_90,top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_90),complement(join(X_90,top)))) )],[refute_0_502,refute_0_507]) ).
cnf(refute_0_509,plain,
join(meet(X_90,zero),zero) = meet(X_90,zero),
inference(subst,[],[refute_0_496:[bind(X1,$fot(meet(X_90,zero)))]]) ).
cnf(refute_0_510,plain,
top = join(join(complement(X_25),complement(X_26)),complement(join(complement(X_25),complement(X_26)))),
inference(subst,[],[refute_0_197:[bind(X0,$fot(join(complement(X_25),complement(X_26))))]]) ).
cnf(refute_0_511,plain,
( complement(join(complement(X_25),complement(X_26))) != meet(X_25,X_26)
| top != join(join(complement(X_25),complement(X_26)),complement(join(complement(X_25),complement(X_26))))
| top = join(join(complement(X_25),complement(X_26)),meet(X_25,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_25),complement(X_26)),complement(join(complement(X_25),complement(X_26))))) ),[1,1],$fot(meet(X_25,X_26))]]) ).
cnf(refute_0_512,plain,
( top != join(join(complement(X_25),complement(X_26)),complement(join(complement(X_25),complement(X_26))))
| top = join(join(complement(X_25),complement(X_26)),meet(X_25,X_26)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_25),complement(X_26))),meet(X_25,X_26)) )],[refute_0_193,refute_0_511]) ).
cnf(refute_0_513,plain,
top = join(join(complement(X_25),complement(X_26)),meet(X_25,X_26)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_25),complement(X_26)),complement(join(complement(X_25),complement(X_26))))) )],[refute_0_510,refute_0_512]) ).
cnf(refute_0_514,plain,
join(join(complement(X_25),complement(X_26)),meet(X_25,X_26)) = join(complement(X_25),join(complement(X_26),meet(X_25,X_26))),
inference(subst,[],[refute_0_271:[bind(X0,$fot(complement(X_25))),bind(X1,$fot(complement(X_26))),bind(X2,$fot(meet(X_25,X_26)))]]) ).
cnf(refute_0_515,plain,
( join(join(complement(X_25),complement(X_26)),meet(X_25,X_26)) != join(complement(X_25),join(complement(X_26),meet(X_25,X_26)))
| top != join(join(complement(X_25),complement(X_26)),meet(X_25,X_26))
| top = join(complement(X_25),join(complement(X_26),meet(X_25,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_25),complement(X_26)),meet(X_25,X_26))) ),[1],$fot(join(complement(X_25),join(complement(X_26),meet(X_25,X_26))))]]) ).
cnf(refute_0_516,plain,
( top != join(join(complement(X_25),complement(X_26)),meet(X_25,X_26))
| top = join(complement(X_25),join(complement(X_26),meet(X_25,X_26))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_25),complement(X_26)),meet(X_25,X_26)),join(complement(X_25),join(complement(X_26),meet(X_25,X_26)))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
top = join(complement(X_25),join(complement(X_26),meet(X_25,X_26))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_25),complement(X_26)),meet(X_25,X_26))) )],[refute_0_513,refute_0_516]) ).
cnf(refute_0_518,plain,
top = join(complement(complement(X_64)),join(complement(X_109),meet(complement(X_64),X_109))),
inference(subst,[],[refute_0_517:[bind(X_25,$fot(complement(X_64))),bind(X_26,$fot(X_109))]]) ).
cnf(refute_0_519,plain,
( complement(complement(X_64)) != X_64
| top != join(complement(complement(X_64)),join(complement(X_109),meet(complement(X_64),X_109)))
| top = join(X_64,join(complement(X_109),meet(complement(X_64),X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(complement(X_64)),join(complement(X_109),meet(complement(X_64),X_109)))) ),[1,0],$fot(X_64)]]) ).
cnf(refute_0_520,plain,
( top != join(complement(complement(X_64)),join(complement(X_109),meet(complement(X_64),X_109)))
| top = join(X_64,join(complement(X_109),meet(complement(X_64),X_109))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_64)),X_64) )],[refute_0_479,refute_0_519]) ).
cnf(refute_0_521,plain,
top = join(X_64,join(complement(X_109),meet(complement(X_64),X_109))),
inference(resolve,[$cnf( $equal(top,join(complement(complement(X_64)),join(complement(X_109),meet(complement(X_64),X_109)))) )],[refute_0_518,refute_0_520]) ).
cnf(refute_0_522,plain,
top = join(X_126,join(complement(complement(X_126)),meet(complement(X_126),complement(X_126)))),
inference(subst,[],[refute_0_521:[bind(X_109,$fot(complement(X_126))),bind(X_64,$fot(X_126))]]) ).
cnf(refute_0_523,plain,
meet(complement(X_126),complement(X_126)) = complement(X_126),
inference(subst,[],[refute_0_483:[bind(X1,$fot(complement(X_126)))]]) ).
cnf(refute_0_524,plain,
( meet(complement(X_126),complement(X_126)) != complement(X_126)
| top != join(X_126,join(complement(complement(X_126)),meet(complement(X_126),complement(X_126))))
| top = join(X_126,join(complement(complement(X_126)),complement(X_126))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_126,join(complement(complement(X_126)),meet(complement(X_126),complement(X_126))))) ),[1,1,1],$fot(complement(X_126))]]) ).
cnf(refute_0_525,plain,
( top != join(X_126,join(complement(complement(X_126)),meet(complement(X_126),complement(X_126))))
| top = join(X_126,join(complement(complement(X_126)),complement(X_126))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_126),complement(X_126)),complement(X_126)) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
top = join(X_126,join(complement(complement(X_126)),complement(X_126))),
inference(resolve,[$cnf( $equal(top,join(X_126,join(complement(complement(X_126)),meet(complement(X_126),complement(X_126))))) )],[refute_0_522,refute_0_525]) ).
cnf(refute_0_527,plain,
meet(X_126,complement(X_126)) = zero,
inference(subst,[],[refute_0_175:[bind(X0,$fot(X_126))]]) ).
cnf(refute_0_528,plain,
meet(complement(X_126),X_126) = meet(X_126,complement(X_126)),
inference(subst,[],[refute_0_238:[bind(X_25,$fot(X_126)),bind(X_26,$fot(complement(X_126)))]]) ).
cnf(refute_0_529,plain,
( meet(X_126,complement(X_126)) != zero
| meet(complement(X_126),X_126) != meet(X_126,complement(X_126))
| meet(complement(X_126),X_126) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(complement(X_126),X_126))),bind(Y,$fot(meet(X_126,complement(X_126)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_530,plain,
( meet(X_126,complement(X_126)) != zero
| meet(complement(X_126),X_126) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X_126),X_126),meet(X_126,complement(X_126))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
meet(complement(X_126),X_126) = zero,
inference(resolve,[$cnf( $equal(meet(X_126,complement(X_126)),zero) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
complement(meet(complement(X_126),X_126)) = complement(meet(complement(X_126),X_126)),
introduced(tautology,[refl,[$fot(complement(meet(complement(X_126),X_126)))]]) ).
cnf(refute_0_533,plain,
( complement(meet(complement(X_126),X_126)) != complement(meet(complement(X_126),X_126))
| meet(complement(X_126),X_126) != zero
| complement(meet(complement(X_126),X_126)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(X_126),X_126)),complement(meet(complement(X_126),X_126))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_534,plain,
( meet(complement(X_126),X_126) != zero
| complement(meet(complement(X_126),X_126)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_126),X_126)),complement(meet(complement(X_126),X_126))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
complement(meet(complement(X_126),X_126)) = complement(zero),
inference(resolve,[$cnf( $equal(meet(complement(X_126),X_126),zero) )],[refute_0_531,refute_0_534]) ).
cnf(refute_0_536,plain,
( complement(meet(complement(X_126),X_126)) != complement(zero)
| complement(zero) != top
| complement(meet(complement(X_126),X_126)) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(meet(complement(X_126),X_126)))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_537,plain,
( complement(zero) != top
| complement(meet(complement(X_126),X_126)) = top ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_126),X_126)),complement(zero)) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
complement(meet(complement(X_126),X_126)) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_452,refute_0_537]) ).
cnf(refute_0_539,plain,
join(complement(X0),complement(X1)) = join(zero,complement(complement(join(complement(X0),complement(X1))))),
inference(subst,[],[refute_0_186:[bind(X_64,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_540,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(zero,complement(complement(join(complement(X0),complement(X1)))))
| join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(complement(join(complement(X0),complement(X1)))))) ),[1,1,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_541,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(complement(join(complement(X0),complement(X1)))))
| join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_14,refute_0_540]) ).
cnf(refute_0_542,plain,
join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(complement(join(complement(X0),complement(X1)))))) )],[refute_0_539,refute_0_541]) ).
cnf(refute_0_543,plain,
join(zero,complement(meet(X0,X1))) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_355:[bind(X_66,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_544,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(meet(X0,X1)))
| join(zero,complement(meet(X0,X1))) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(zero,complement(meet(X0,X1))))]]) ).
cnf(refute_0_545,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(meet(X0,X1)))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(X0,X1))),complement(meet(X0,X1))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(meet(X0,X1)))) )],[refute_0_542,refute_0_545]) ).
cnf(refute_0_547,plain,
join(complement(complement(X_126)),complement(X_126)) = complement(meet(complement(X_126),X_126)),
inference(subst,[],[refute_0_546:[bind(X0,$fot(complement(X_126))),bind(X1,$fot(X_126))]]) ).
cnf(refute_0_548,plain,
( complement(meet(complement(X_126),X_126)) != top
| join(complement(complement(X_126)),complement(X_126)) != complement(meet(complement(X_126),X_126))
| join(complement(complement(X_126)),complement(X_126)) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(complement(X_126)),complement(X_126)))),bind(Y,$fot(complement(meet(complement(X_126),X_126)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_549,plain,
( complement(meet(complement(X_126),X_126)) != top
| join(complement(complement(X_126)),complement(X_126)) = top ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_126)),complement(X_126)),complement(meet(complement(X_126),X_126))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
join(complement(complement(X_126)),complement(X_126)) = top,
inference(resolve,[$cnf( $equal(complement(meet(complement(X_126),X_126)),top) )],[refute_0_538,refute_0_549]) ).
cnf(refute_0_551,plain,
join(X_126,join(complement(complement(X_126)),complement(X_126))) = join(X_126,join(complement(complement(X_126)),complement(X_126))),
introduced(tautology,[refl,[$fot(join(X_126,join(complement(complement(X_126)),complement(X_126))))]]) ).
cnf(refute_0_552,plain,
( join(X_126,join(complement(complement(X_126)),complement(X_126))) != join(X_126,join(complement(complement(X_126)),complement(X_126)))
| join(complement(complement(X_126)),complement(X_126)) != top
| join(X_126,join(complement(complement(X_126)),complement(X_126))) = join(X_126,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_126,join(complement(complement(X_126)),complement(X_126))),join(X_126,join(complement(complement(X_126)),complement(X_126)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_553,plain,
( join(complement(complement(X_126)),complement(X_126)) != top
| join(X_126,join(complement(complement(X_126)),complement(X_126))) = join(X_126,top) ),
inference(resolve,[$cnf( $equal(join(X_126,join(complement(complement(X_126)),complement(X_126))),join(X_126,join(complement(complement(X_126)),complement(X_126)))) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
join(X_126,join(complement(complement(X_126)),complement(X_126))) = join(X_126,top),
inference(resolve,[$cnf( $equal(join(complement(complement(X_126)),complement(X_126)),top) )],[refute_0_550,refute_0_553]) ).
cnf(refute_0_555,plain,
( join(X_126,join(complement(complement(X_126)),complement(X_126))) != join(X_126,top)
| top != join(X_126,join(complement(complement(X_126)),complement(X_126)))
| top = join(X_126,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_126,join(complement(complement(X_126)),complement(X_126)))) ),[1],$fot(join(X_126,top))]]) ).
cnf(refute_0_556,plain,
( top != join(X_126,join(complement(complement(X_126)),complement(X_126)))
| top = join(X_126,top) ),
inference(resolve,[$cnf( $equal(join(X_126,join(complement(complement(X_126)),complement(X_126))),join(X_126,top)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
top = join(X_126,top),
inference(resolve,[$cnf( $equal(top,join(X_126,join(complement(complement(X_126)),complement(X_126)))) )],[refute_0_526,refute_0_556]) ).
cnf(refute_0_558,plain,
( top != join(X_126,top)
| join(X_126,top) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_126,top)))]]) ).
cnf(refute_0_559,plain,
join(X_126,top) = top,
inference(resolve,[$cnf( $equal(top,join(X_126,top)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
join(X_90,top) = top,
inference(subst,[],[refute_0_559:[bind(X_126,$fot(X_90))]]) ).
cnf(refute_0_561,plain,
complement(join(X_90,top)) = complement(join(X_90,top)),
introduced(tautology,[refl,[$fot(complement(join(X_90,top)))]]) ).
cnf(refute_0_562,plain,
( complement(join(X_90,top)) != complement(join(X_90,top))
| join(X_90,top) != top
| complement(join(X_90,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_90,top)),complement(join(X_90,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_563,plain,
( join(X_90,top) != top
| complement(join(X_90,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(X_90,top)),complement(join(X_90,top))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
complement(join(X_90,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(X_90,top),top) )],[refute_0_560,refute_0_563]) ).
cnf(refute_0_565,plain,
( complement(join(X_90,top)) != complement(top)
| complement(top) != zero
| complement(join(X_90,top)) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(join(X_90,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_566,plain,
( complement(top) != zero
| complement(join(X_90,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(X_90,top)),complement(top)) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
complement(join(X_90,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_566]) ).
cnf(refute_0_568,plain,
join(meet(X_90,zero),complement(join(X_90,top))) = join(meet(X_90,zero),complement(join(X_90,top))),
introduced(tautology,[refl,[$fot(join(meet(X_90,zero),complement(join(X_90,top))))]]) ).
cnf(refute_0_569,plain,
( complement(join(X_90,top)) != zero
| join(meet(X_90,zero),complement(join(X_90,top))) != join(meet(X_90,zero),complement(join(X_90,top)))
| join(meet(X_90,zero),complement(join(X_90,top))) = join(meet(X_90,zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_90,zero),complement(join(X_90,top))),join(meet(X_90,zero),complement(join(X_90,top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_570,plain,
( complement(join(X_90,top)) != zero
| join(meet(X_90,zero),complement(join(X_90,top))) = join(meet(X_90,zero),zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_90,zero),complement(join(X_90,top))),join(meet(X_90,zero),complement(join(X_90,top)))) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
join(meet(X_90,zero),complement(join(X_90,top))) = join(meet(X_90,zero),zero),
inference(resolve,[$cnf( $equal(complement(join(X_90,top)),zero) )],[refute_0_567,refute_0_570]) ).
cnf(refute_0_572,plain,
( join(meet(X_90,zero),complement(join(X_90,top))) != join(meet(X_90,zero),zero)
| join(meet(X_90,zero),zero) != meet(X_90,zero)
| join(meet(X_90,zero),complement(join(X_90,top))) = meet(X_90,zero) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(X_90,zero),complement(join(X_90,top))))),bind(Y,$fot(join(meet(X_90,zero),zero))),bind(Z,$fot(meet(X_90,zero)))]]) ).
cnf(refute_0_573,plain,
( join(meet(X_90,zero),zero) != meet(X_90,zero)
| join(meet(X_90,zero),complement(join(X_90,top))) = meet(X_90,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_90,zero),complement(join(X_90,top))),join(meet(X_90,zero),zero)) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
join(meet(X_90,zero),complement(join(X_90,top))) = meet(X_90,zero),
inference(resolve,[$cnf( $equal(join(meet(X_90,zero),zero),meet(X_90,zero)) )],[refute_0_509,refute_0_573]) ).
cnf(refute_0_575,plain,
( join(meet(X_90,zero),complement(join(X_90,top))) != meet(X_90,zero)
| zero != join(meet(X_90,zero),complement(join(X_90,top)))
| zero = meet(X_90,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(X_90,zero),complement(join(X_90,top)))) ),[1],$fot(meet(X_90,zero))]]) ).
cnf(refute_0_576,plain,
( zero != join(meet(X_90,zero),complement(join(X_90,top)))
| zero = meet(X_90,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_90,zero),complement(join(X_90,top))),meet(X_90,zero)) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
zero = meet(X_90,zero),
inference(resolve,[$cnf( $equal(zero,join(meet(X_90,zero),complement(join(X_90,top)))) )],[refute_0_508,refute_0_576]) ).
cnf(refute_0_578,plain,
( zero != meet(X_90,zero)
| meet(X_90,zero) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_90,zero)))]]) ).
cnf(refute_0_579,plain,
meet(X_90,zero) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_90,zero)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
meet(join(top,X_93),zero) = zero,
inference(subst,[],[refute_0_579:[bind(X_90,$fot(join(top,X_93)))]]) ).
cnf(refute_0_581,plain,
meet(X_93,zero) = zero,
inference(subst,[],[refute_0_579:[bind(X_90,$fot(X_93))]]) ).
cnf(refute_0_582,plain,
meet(join(top,X_93),meet(X_93,zero)) = meet(join(top,X_93),meet(X_93,zero)),
introduced(tautology,[refl,[$fot(meet(join(top,X_93),meet(X_93,zero)))]]) ).
cnf(refute_0_583,plain,
( meet(X_93,zero) != zero
| meet(join(top,X_93),meet(X_93,zero)) != meet(join(top,X_93),meet(X_93,zero))
| meet(join(top,X_93),meet(X_93,zero)) = meet(join(top,X_93),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(top,X_93),meet(X_93,zero)),meet(join(top,X_93),meet(X_93,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_584,plain,
( meet(X_93,zero) != zero
| meet(join(top,X_93),meet(X_93,zero)) = meet(join(top,X_93),zero) ),
inference(resolve,[$cnf( $equal(meet(join(top,X_93),meet(X_93,zero)),meet(join(top,X_93),meet(X_93,zero))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
meet(join(top,X_93),meet(X_93,zero)) = meet(join(top,X_93),zero),
inference(resolve,[$cnf( $equal(meet(X_93,zero),zero) )],[refute_0_581,refute_0_584]) ).
cnf(refute_0_586,plain,
( meet(join(top,X_93),meet(X_93,zero)) != meet(join(top,X_93),zero)
| meet(join(top,X_93),zero) != zero
| meet(join(top,X_93),meet(X_93,zero)) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(join(top,X_93),meet(X_93,zero)))),bind(Y,$fot(meet(join(top,X_93),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_587,plain,
( meet(join(top,X_93),zero) != zero
| meet(join(top,X_93),meet(X_93,zero)) = zero ),
inference(resolve,[$cnf( $equal(meet(join(top,X_93),meet(X_93,zero)),meet(join(top,X_93),zero)) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
meet(join(top,X_93),meet(X_93,zero)) = zero,
inference(resolve,[$cnf( $equal(meet(join(top,X_93),zero),zero) )],[refute_0_580,refute_0_587]) ).
cnf(refute_0_589,plain,
join(top,meet(join(top,X_93),meet(X_93,zero))) = join(top,meet(join(top,X_93),meet(X_93,zero))),
introduced(tautology,[refl,[$fot(join(top,meet(join(top,X_93),meet(X_93,zero))))]]) ).
cnf(refute_0_590,plain,
( join(top,meet(join(top,X_93),meet(X_93,zero))) != join(top,meet(join(top,X_93),meet(X_93,zero)))
| meet(join(top,X_93),meet(X_93,zero)) != zero
| join(top,meet(join(top,X_93),meet(X_93,zero))) = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,meet(join(top,X_93),meet(X_93,zero))),join(top,meet(join(top,X_93),meet(X_93,zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_591,plain,
( meet(join(top,X_93),meet(X_93,zero)) != zero
| join(top,meet(join(top,X_93),meet(X_93,zero))) = join(top,zero) ),
inference(resolve,[$cnf( $equal(join(top,meet(join(top,X_93),meet(X_93,zero))),join(top,meet(join(top,X_93),meet(X_93,zero)))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
join(top,meet(join(top,X_93),meet(X_93,zero))) = join(top,zero),
inference(resolve,[$cnf( $equal(meet(join(top,X_93),meet(X_93,zero)),zero) )],[refute_0_588,refute_0_591]) ).
cnf(refute_0_593,plain,
( join(top,meet(join(top,X_93),meet(X_93,zero))) != join(top,zero)
| join(top,zero) != top
| join(top,meet(join(top,X_93),meet(X_93,zero))) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(top,meet(join(top,X_93),meet(X_93,zero))))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_594,plain,
( join(top,zero) != top
| join(top,meet(join(top,X_93),meet(X_93,zero))) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(join(top,X_93),meet(X_93,zero))),join(top,zero)) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
join(top,meet(join(top,X_93),meet(X_93,zero))) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_497,refute_0_594]) ).
cnf(refute_0_596,plain,
( join(top,X_93) != join(top,meet(join(top,X_93),meet(X_93,zero)))
| join(top,meet(join(top,X_93),meet(X_93,zero))) != top
| join(top,X_93) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,X_93),top) ),[0],$fot(join(top,meet(join(top,X_93),meet(X_93,zero))))]]) ).
cnf(refute_0_597,plain,
( join(top,X_93) != join(top,meet(join(top,X_93),meet(X_93,zero)))
| join(top,X_93) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(join(top,X_93),meet(X_93,zero))),top) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
join(top,X_93) = top,
inference(resolve,[$cnf( $equal(join(top,X_93),join(top,meet(join(top,X_93),meet(X_93,zero)))) )],[refute_0_472,refute_0_597]) ).
cnf(refute_0_599,plain,
join(top,X_137) = top,
inference(subst,[],[refute_0_598:[bind(X_93,$fot(X_137))]]) ).
cnf(refute_0_600,plain,
( join(X_135,join(complement(X_135),X_137)) != join(top,X_137)
| join(top,X_137) != top
| join(X_135,join(complement(X_135),X_137)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_135,join(complement(X_135),X_137)),top) ),[0],$fot(join(top,X_137))]]) ).
cnf(refute_0_601,plain,
( join(X_135,join(complement(X_135),X_137)) != join(top,X_137)
| join(X_135,join(complement(X_135),X_137)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_137),top) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
join(X_135,join(complement(X_135),X_137)) = top,
inference(resolve,[$cnf( $equal(join(X_135,join(complement(X_135),X_137)),join(top,X_137)) )],[refute_0_383,refute_0_601]) ).
cnf(refute_0_603,plain,
join(complement(X_64),join(complement(complement(X_64)),X_139)) = top,
inference(subst,[],[refute_0_602:[bind(X_135,$fot(complement(X_64))),bind(X_137,$fot(X_139))]]) ).
cnf(refute_0_604,plain,
( X_64 != join(meet(join(complement(complement(X_64)),X_139),X_64),complement(join(complement(X_64),join(complement(complement(X_64)),X_139))))
| join(complement(X_64),join(complement(complement(X_64)),X_139)) != top
| X_64 = join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_64,join(meet(join(complement(complement(X_64)),X_139),X_64),complement(join(complement(X_64),join(complement(complement(X_64)),X_139))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_605,plain,
( X_64 != join(meet(join(complement(complement(X_64)),X_139),X_64),complement(join(complement(X_64),join(complement(complement(X_64)),X_139))))
| X_64 = join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),join(complement(complement(X_64)),X_139)),top) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
X_64 = join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)),
inference(resolve,[$cnf( $equal(X_64,join(meet(join(complement(complement(X_64)),X_139),X_64),complement(join(complement(X_64),join(complement(complement(X_64)),X_139))))) )],[refute_0_376,refute_0_605]) ).
cnf(refute_0_607,plain,
X_64 = join(meet(X_64,complement(complement(X_64))),complement(join(complement(X_64),complement(complement(X_64))))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_64)),bind(X1,$fot(complement(complement(X_64))))]]) ).
cnf(refute_0_608,plain,
top = join(complement(X_64),complement(complement(X_64))),
inference(subst,[],[refute_0_197:[bind(X0,$fot(complement(X_64)))]]) ).
cnf(refute_0_609,plain,
( top != join(complement(X_64),complement(complement(X_64)))
| join(complement(X_64),complement(complement(X_64))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_64),complement(complement(X_64)))))]]) ).
cnf(refute_0_610,plain,
join(complement(X_64),complement(complement(X_64))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_64),complement(complement(X_64)))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
( X_64 != join(meet(X_64,complement(complement(X_64))),complement(join(complement(X_64),complement(complement(X_64)))))
| join(complement(X_64),complement(complement(X_64))) != top
| X_64 = join(meet(X_64,complement(complement(X_64))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_64,join(meet(X_64,complement(complement(X_64))),complement(join(complement(X_64),complement(complement(X_64)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_612,plain,
( X_64 != join(meet(X_64,complement(complement(X_64))),complement(join(complement(X_64),complement(complement(X_64)))))
| X_64 = join(meet(X_64,complement(complement(X_64))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),complement(complement(X_64))),top) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
X_64 = join(meet(X_64,complement(complement(X_64))),complement(top)),
inference(resolve,[$cnf( $equal(X_64,join(meet(X_64,complement(complement(X_64))),complement(join(complement(X_64),complement(complement(X_64)))))) )],[refute_0_607,refute_0_612]) ).
cnf(refute_0_614,plain,
join(complement(top),meet(X_64,complement(complement(X_64)))) = join(complement(top),meet(X_64,complement(complement(X_64)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_64,complement(complement(X_64)))))]]) ).
cnf(refute_0_615,plain,
( complement(top) != zero
| join(complement(top),meet(X_64,complement(complement(X_64)))) != join(complement(top),meet(X_64,complement(complement(X_64))))
| join(complement(top),meet(X_64,complement(complement(X_64)))) = join(zero,meet(X_64,complement(complement(X_64)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_64,complement(complement(X_64)))),join(complement(top),meet(X_64,complement(complement(X_64))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_616,plain,
( complement(top) != zero
| join(complement(top),meet(X_64,complement(complement(X_64)))) = join(zero,meet(X_64,complement(complement(X_64)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_64,complement(complement(X_64)))),join(complement(top),meet(X_64,complement(complement(X_64))))) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
join(complement(top),meet(X_64,complement(complement(X_64)))) = join(zero,meet(X_64,complement(complement(X_64)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_616]) ).
cnf(refute_0_618,plain,
join(meet(X_64,complement(complement(X_64))),complement(top)) = join(complement(top),meet(X_64,complement(complement(X_64)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_64,complement(complement(X_64)))))]]) ).
cnf(refute_0_619,plain,
( join(complement(top),meet(X_64,complement(complement(X_64)))) != join(zero,meet(X_64,complement(complement(X_64))))
| join(meet(X_64,complement(complement(X_64))),complement(top)) != join(complement(top),meet(X_64,complement(complement(X_64))))
| join(meet(X_64,complement(complement(X_64))),complement(top)) = join(zero,meet(X_64,complement(complement(X_64)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(X_64,complement(complement(X_64))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_64,complement(complement(X_64)))))),bind(Z,$fot(join(zero,meet(X_64,complement(complement(X_64))))))]]) ).
cnf(refute_0_620,plain,
( join(complement(top),meet(X_64,complement(complement(X_64)))) != join(zero,meet(X_64,complement(complement(X_64))))
| join(meet(X_64,complement(complement(X_64))),complement(top)) = join(zero,meet(X_64,complement(complement(X_64)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_64,complement(complement(X_64))),complement(top)),join(complement(top),meet(X_64,complement(complement(X_64))))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
join(meet(X_64,complement(complement(X_64))),complement(top)) = join(zero,meet(X_64,complement(complement(X_64)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_64,complement(complement(X_64)))),join(zero,meet(X_64,complement(complement(X_64))))) )],[refute_0_617,refute_0_620]) ).
cnf(refute_0_622,plain,
( X_64 != join(meet(X_64,complement(complement(X_64))),complement(top))
| join(meet(X_64,complement(complement(X_64))),complement(top)) != join(zero,meet(X_64,complement(complement(X_64))))
| X_64 = join(zero,meet(X_64,complement(complement(X_64)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,join(zero,meet(X_64,complement(complement(X_64))))) ),[0],$fot(join(meet(X_64,complement(complement(X_64))),complement(top)))]]) ).
cnf(refute_0_623,plain,
( X_64 != join(meet(X_64,complement(complement(X_64))),complement(top))
| X_64 = join(zero,meet(X_64,complement(complement(X_64)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_64,complement(complement(X_64))),complement(top)),join(zero,meet(X_64,complement(complement(X_64))))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
X_64 = join(zero,meet(X_64,complement(complement(X_64)))),
inference(resolve,[$cnf( $equal(X_64,join(meet(X_64,complement(complement(X_64))),complement(top))) )],[refute_0_613,refute_0_623]) ).
cnf(refute_0_625,plain,
meet(X_64,X_64) = X_64,
inference(subst,[],[refute_0_483:[bind(X1,$fot(X_64))]]) ).
cnf(refute_0_626,plain,
meet(X_64,complement(complement(X_64))) = meet(X_64,complement(complement(X_64))),
introduced(tautology,[refl,[$fot(meet(X_64,complement(complement(X_64))))]]) ).
cnf(refute_0_627,plain,
( complement(complement(X_64)) != X_64
| meet(X_64,complement(complement(X_64))) != meet(X_64,complement(complement(X_64)))
| meet(X_64,complement(complement(X_64))) = meet(X_64,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_64,complement(complement(X_64))),meet(X_64,complement(complement(X_64)))) ),[1,1],$fot(X_64)]]) ).
cnf(refute_0_628,plain,
( complement(complement(X_64)) != X_64
| meet(X_64,complement(complement(X_64))) = meet(X_64,X_64) ),
inference(resolve,[$cnf( $equal(meet(X_64,complement(complement(X_64))),meet(X_64,complement(complement(X_64)))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
meet(X_64,complement(complement(X_64))) = meet(X_64,X_64),
inference(resolve,[$cnf( $equal(complement(complement(X_64)),X_64) )],[refute_0_479,refute_0_628]) ).
cnf(refute_0_630,plain,
( meet(X_64,X_64) != X_64
| meet(X_64,complement(complement(X_64))) != meet(X_64,X_64)
| meet(X_64,complement(complement(X_64))) = X_64 ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(X_64,complement(complement(X_64))))),bind(Y,$fot(meet(X_64,X_64))),bind(Z,$fot(X_64))]]) ).
cnf(refute_0_631,plain,
( meet(X_64,X_64) != X_64
| meet(X_64,complement(complement(X_64))) = X_64 ),
inference(resolve,[$cnf( $equal(meet(X_64,complement(complement(X_64))),meet(X_64,X_64)) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
meet(X_64,complement(complement(X_64))) = X_64,
inference(resolve,[$cnf( $equal(meet(X_64,X_64),X_64) )],[refute_0_625,refute_0_631]) ).
cnf(refute_0_633,plain,
join(zero,meet(X_64,complement(complement(X_64)))) = join(zero,meet(X_64,complement(complement(X_64)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_64,complement(complement(X_64)))))]]) ).
cnf(refute_0_634,plain,
( join(zero,meet(X_64,complement(complement(X_64)))) != join(zero,meet(X_64,complement(complement(X_64))))
| meet(X_64,complement(complement(X_64))) != X_64
| join(zero,meet(X_64,complement(complement(X_64)))) = join(zero,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_64,complement(complement(X_64)))),join(zero,meet(X_64,complement(complement(X_64))))) ),[1,1],$fot(X_64)]]) ).
cnf(refute_0_635,plain,
( meet(X_64,complement(complement(X_64))) != X_64
| join(zero,meet(X_64,complement(complement(X_64)))) = join(zero,X_64) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_64,complement(complement(X_64)))),join(zero,meet(X_64,complement(complement(X_64))))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
join(zero,meet(X_64,complement(complement(X_64)))) = join(zero,X_64),
inference(resolve,[$cnf( $equal(meet(X_64,complement(complement(X_64))),X_64) )],[refute_0_632,refute_0_635]) ).
cnf(refute_0_637,plain,
( X_64 != join(zero,meet(X_64,complement(complement(X_64))))
| join(zero,meet(X_64,complement(complement(X_64)))) != join(zero,X_64)
| X_64 = join(zero,X_64) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,join(zero,X_64)) ),[0],$fot(join(zero,meet(X_64,complement(complement(X_64)))))]]) ).
cnf(refute_0_638,plain,
( X_64 != join(zero,meet(X_64,complement(complement(X_64))))
| X_64 = join(zero,X_64) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_64,complement(complement(X_64)))),join(zero,X_64)) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
X_64 = join(zero,X_64),
inference(resolve,[$cnf( $equal(X_64,join(zero,meet(X_64,complement(complement(X_64))))) )],[refute_0_624,refute_0_638]) ).
cnf(refute_0_640,plain,
( X_64 != join(zero,X_64)
| join(zero,X_64) = X_64 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_64)),bind(Y,$fot(join(zero,X_64)))]]) ).
cnf(refute_0_641,plain,
join(zero,X_64) = X_64,
inference(resolve,[$cnf( $equal(X_64,join(zero,X_64)) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
join(zero,meet(X_64,join(X_64,X_139))) = meet(X_64,join(X_64,X_139)),
inference(subst,[],[refute_0_641:[bind(X_64,$fot(meet(X_64,join(X_64,X_139))))]]) ).
cnf(refute_0_643,plain,
join(complement(complement(X_64)),X_139) = join(complement(complement(X_64)),X_139),
introduced(tautology,[refl,[$fot(join(complement(complement(X_64)),X_139))]]) ).
cnf(refute_0_644,plain,
( complement(complement(X_64)) != X_64
| join(complement(complement(X_64)),X_139) != join(complement(complement(X_64)),X_139)
| join(complement(complement(X_64)),X_139) = join(X_64,X_139) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_64)),X_139),join(complement(complement(X_64)),X_139)) ),[1,0],$fot(X_64)]]) ).
cnf(refute_0_645,plain,
( complement(complement(X_64)) != X_64
| join(complement(complement(X_64)),X_139) = join(X_64,X_139) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_64)),X_139),join(complement(complement(X_64)),X_139)) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
join(complement(complement(X_64)),X_139) = join(X_64,X_139),
inference(resolve,[$cnf( $equal(complement(complement(X_64)),X_64) )],[refute_0_479,refute_0_645]) ).
cnf(refute_0_647,plain,
meet(X_64,join(complement(complement(X_64)),X_139)) = meet(X_64,join(complement(complement(X_64)),X_139)),
introduced(tautology,[refl,[$fot(meet(X_64,join(complement(complement(X_64)),X_139)))]]) ).
cnf(refute_0_648,plain,
( join(complement(complement(X_64)),X_139) != join(X_64,X_139)
| meet(X_64,join(complement(complement(X_64)),X_139)) != meet(X_64,join(complement(complement(X_64)),X_139))
| meet(X_64,join(complement(complement(X_64)),X_139)) = meet(X_64,join(X_64,X_139)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_64,join(complement(complement(X_64)),X_139)),meet(X_64,join(complement(complement(X_64)),X_139))) ),[1,1],$fot(join(X_64,X_139))]]) ).
cnf(refute_0_649,plain,
( join(complement(complement(X_64)),X_139) != join(X_64,X_139)
| meet(X_64,join(complement(complement(X_64)),X_139)) = meet(X_64,join(X_64,X_139)) ),
inference(resolve,[$cnf( $equal(meet(X_64,join(complement(complement(X_64)),X_139)),meet(X_64,join(complement(complement(X_64)),X_139))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
meet(X_64,join(complement(complement(X_64)),X_139)) = meet(X_64,join(X_64,X_139)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_64)),X_139),join(X_64,X_139)) )],[refute_0_646,refute_0_649]) ).
cnf(refute_0_651,plain,
meet(join(complement(complement(X_64)),X_139),X_64) = meet(X_64,join(complement(complement(X_64)),X_139)),
inference(subst,[],[refute_0_238:[bind(X_25,$fot(X_64)),bind(X_26,$fot(join(complement(complement(X_64)),X_139)))]]) ).
cnf(refute_0_652,plain,
( meet(X_64,join(complement(complement(X_64)),X_139)) != meet(X_64,join(X_64,X_139))
| meet(join(complement(complement(X_64)),X_139),X_64) != meet(X_64,join(complement(complement(X_64)),X_139))
| meet(join(complement(complement(X_64)),X_139),X_64) = meet(X_64,join(X_64,X_139)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(join(complement(complement(X_64)),X_139),X_64))),bind(Y,$fot(meet(X_64,join(complement(complement(X_64)),X_139)))),bind(Z,$fot(meet(X_64,join(X_64,X_139))))]]) ).
cnf(refute_0_653,plain,
( meet(X_64,join(complement(complement(X_64)),X_139)) != meet(X_64,join(X_64,X_139))
| meet(join(complement(complement(X_64)),X_139),X_64) = meet(X_64,join(X_64,X_139)) ),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(X_64)),X_139),X_64),meet(X_64,join(complement(complement(X_64)),X_139))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
meet(join(complement(complement(X_64)),X_139),X_64) = meet(X_64,join(X_64,X_139)),
inference(resolve,[$cnf( $equal(meet(X_64,join(complement(complement(X_64)),X_139)),meet(X_64,join(X_64,X_139))) )],[refute_0_650,refute_0_653]) ).
cnf(refute_0_655,plain,
join(zero,meet(join(complement(complement(X_64)),X_139),X_64)) = join(zero,meet(join(complement(complement(X_64)),X_139),X_64)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(complement(X_64)),X_139),X_64)))]]) ).
cnf(refute_0_656,plain,
( join(zero,meet(join(complement(complement(X_64)),X_139),X_64)) != join(zero,meet(join(complement(complement(X_64)),X_139),X_64))
| meet(join(complement(complement(X_64)),X_139),X_64) != meet(X_64,join(X_64,X_139))
| join(zero,meet(join(complement(complement(X_64)),X_139),X_64)) = join(zero,meet(X_64,join(X_64,X_139))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(complement(X_64)),X_139),X_64)),join(zero,meet(join(complement(complement(X_64)),X_139),X_64))) ),[1,1],$fot(meet(X_64,join(X_64,X_139)))]]) ).
cnf(refute_0_657,plain,
( meet(join(complement(complement(X_64)),X_139),X_64) != meet(X_64,join(X_64,X_139))
| join(zero,meet(join(complement(complement(X_64)),X_139),X_64)) = join(zero,meet(X_64,join(X_64,X_139))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(complement(X_64)),X_139),X_64)),join(zero,meet(join(complement(complement(X_64)),X_139),X_64))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
join(zero,meet(join(complement(complement(X_64)),X_139),X_64)) = join(zero,meet(X_64,join(X_64,X_139))),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(X_64)),X_139),X_64),meet(X_64,join(X_64,X_139))) )],[refute_0_654,refute_0_657]) ).
cnf(refute_0_659,plain,
join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) = join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)))]]) ).
cnf(refute_0_660,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) != join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64))
| join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) = join(zero,meet(join(complement(complement(X_64)),X_139),X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)),join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_661,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) = join(zero,meet(join(complement(complement(X_64)),X_139),X_64)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)),join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64))) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) = join(zero,meet(join(complement(complement(X_64)),X_139),X_64)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_661]) ).
cnf(refute_0_663,plain,
( join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) != join(zero,meet(join(complement(complement(X_64)),X_139),X_64))
| join(zero,meet(join(complement(complement(X_64)),X_139),X_64)) != join(zero,meet(X_64,join(X_64,X_139)))
| join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) = join(zero,meet(X_64,join(X_64,X_139))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)))),bind(Y,$fot(join(zero,meet(join(complement(complement(X_64)),X_139),X_64)))),bind(Z,$fot(join(zero,meet(X_64,join(X_64,X_139)))))]]) ).
cnf(refute_0_664,plain,
( join(zero,meet(join(complement(complement(X_64)),X_139),X_64)) != join(zero,meet(X_64,join(X_64,X_139)))
| join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) = join(zero,meet(X_64,join(X_64,X_139))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)),join(zero,meet(join(complement(complement(X_64)),X_139),X_64))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) = join(zero,meet(X_64,join(X_64,X_139))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(complement(X_64)),X_139),X_64)),join(zero,meet(X_64,join(X_64,X_139)))) )],[refute_0_658,refute_0_664]) ).
cnf(refute_0_666,plain,
( join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) != join(zero,meet(X_64,join(X_64,X_139)))
| join(zero,meet(X_64,join(X_64,X_139))) != meet(X_64,join(X_64,X_139))
| join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) = meet(X_64,join(X_64,X_139)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)))),bind(Y,$fot(join(zero,meet(X_64,join(X_64,X_139))))),bind(Z,$fot(meet(X_64,join(X_64,X_139))))]]) ).
cnf(refute_0_667,plain,
( join(zero,meet(X_64,join(X_64,X_139))) != meet(X_64,join(X_64,X_139))
| join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) = meet(X_64,join(X_64,X_139)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)),join(zero,meet(X_64,join(X_64,X_139)))) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) = meet(X_64,join(X_64,X_139)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_64,join(X_64,X_139))),meet(X_64,join(X_64,X_139))) )],[refute_0_642,refute_0_667]) ).
cnf(refute_0_669,plain,
join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)) = join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(complement(complement(X_64)),X_139),X_64)))]]) ).
cnf(refute_0_670,plain,
( join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) != meet(X_64,join(X_64,X_139))
| join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)) != join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64))
| join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)) = meet(X_64,join(X_64,X_139)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)))),bind(Z,$fot(meet(X_64,join(X_64,X_139))))]]) ).
cnf(refute_0_671,plain,
( join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)) != meet(X_64,join(X_64,X_139))
| join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)) = meet(X_64,join(X_64,X_139)) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)),join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)) = meet(X_64,join(X_64,X_139)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_64)),X_139),X_64)),meet(X_64,join(X_64,X_139))) )],[refute_0_668,refute_0_671]) ).
cnf(refute_0_673,plain,
( X_64 != join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top))
| join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)) != meet(X_64,join(X_64,X_139))
| X_64 = meet(X_64,join(X_64,X_139)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,meet(X_64,join(X_64,X_139))) ),[0],$fot(join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)))]]) ).
cnf(refute_0_674,plain,
( X_64 != join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top))
| X_64 = meet(X_64,join(X_64,X_139)) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top)),meet(X_64,join(X_64,X_139))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
X_64 = meet(X_64,join(X_64,X_139)),
inference(resolve,[$cnf( $equal(X_64,join(meet(join(complement(complement(X_64)),X_139),X_64),complement(top))) )],[refute_0_606,refute_0_674]) ).
cnf(refute_0_676,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_675:[bind(X_139,$fot(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),bind(X_64,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_677,plain,
converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_264:[bind(X0,$fot(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_678,plain,
complement(skolemFOFtoCNF_X1) = join(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))),
inference(subst,[],[refute_0_367:[bind(X_64,$fot(complement(skolemFOFtoCNF_X1))),bind(X_65,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_679,plain,
X_72 = join(meet(X_72,X_71),meet(X_72,complement(X_71))),
inference(subst,[],[refute_0_396:[bind(X1,$fot(X_71)),bind(X_64,$fot(X_72))]]) ).
cnf(refute_0_680,plain,
meet(X_71,X_72) = meet(X_72,X_71),
inference(subst,[],[refute_0_236:[bind(X_25,$fot(X_71)),bind(X_26,$fot(X_72))]]) ).
cnf(refute_0_681,plain,
( meet(X_71,X_72) != meet(X_72,X_71)
| meet(X_72,X_71) = meet(X_71,X_72) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_71,X_72))),bind(Y,$fot(meet(X_72,X_71)))]]) ).
cnf(refute_0_682,plain,
meet(X_72,X_71) = meet(X_71,X_72),
inference(resolve,[$cnf( $equal(meet(X_71,X_72),meet(X_72,X_71)) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
( X_72 != join(meet(X_72,X_71),meet(X_72,complement(X_71)))
| meet(X_72,X_71) != meet(X_71,X_72)
| X_72 = join(meet(X_71,X_72),meet(X_72,complement(X_71))) ),
introduced(tautology,[equality,[$cnf( $equal(X_72,join(meet(X_72,X_71),meet(X_72,complement(X_71)))) ),[1,0],$fot(meet(X_71,X_72))]]) ).
cnf(refute_0_684,plain,
( X_72 != join(meet(X_72,X_71),meet(X_72,complement(X_71)))
| X_72 = join(meet(X_71,X_72),meet(X_72,complement(X_71))) ),
inference(resolve,[$cnf( $equal(meet(X_72,X_71),meet(X_71,X_72)) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
X_72 = join(meet(X_71,X_72),meet(X_72,complement(X_71))),
inference(resolve,[$cnf( $equal(X_72,join(meet(X_72,X_71),meet(X_72,complement(X_71)))) )],[refute_0_679,refute_0_684]) ).
cnf(refute_0_686,plain,
converse(skolemFOFtoCNF_X0) = join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_685:[bind(X_71,$fot(skolemFOFtoCNF_X1)),bind(X_72,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_687,plain,
meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) = zero,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_688,plain,
meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) = meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_238:[bind(X_25,$fot(skolemFOFtoCNF_X1)),bind(X_26,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_689,plain,
( meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) != meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) != zero
| meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1),zero) ),[0],$fot(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_690,plain,
( meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) != zero
| meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1),zero) )],[refute_0_687,refute_0_690]) ).
cnf(refute_0_692,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)))
| meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) != zero
| converse(skolemFOFtoCNF_X0) = join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_693,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)))
| converse(skolemFOFtoCNF_X0) = join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),zero) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
converse(skolemFOFtoCNF_X0) = join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)))) )],[refute_0_686,refute_0_693]) ).
cnf(refute_0_695,plain,
meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) = meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_238:[bind(X_25,$fot(complement(skolemFOFtoCNF_X1))),bind(X_26,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_696,plain,
join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) = meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_641:[bind(X_64,$fot(meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_697,plain,
( join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) != meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))
| meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) != meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))
| join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) = meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))))),bind(Y,$fot(meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_698,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) != meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))
| join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) = meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))),meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) = meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) )],[refute_0_695,refute_0_698]) ).
cnf(refute_0_700,plain,
( converse(skolemFOFtoCNF_X0) != join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)))
| join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) != meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))
| converse(skolemFOFtoCNF_X0) = meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_701,plain,
( converse(skolemFOFtoCNF_X0) != join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)))
| converse(skolemFOFtoCNF_X0) = meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))),meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
converse(skolemFOFtoCNF_X0) = meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(zero,meet(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)))) )],[refute_0_694,refute_0_701]) ).
cnf(refute_0_703,plain,
( converse(skolemFOFtoCNF_X0) != meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(skolemFOFtoCNF_X0))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_704,plain,
meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
( complement(skolemFOFtoCNF_X1) != join(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))))
| meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| complement(skolemFOFtoCNF_X1) = join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_706,plain,
( complement(skolemFOFtoCNF_X1) != join(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))))
| complement(skolemFOFtoCNF_X1) = join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
complement(skolemFOFtoCNF_X1) = join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))))) )],[refute_0_678,refute_0_706]) ).
cnf(refute_0_708,plain,
converse(join(converse(X0),join(zero,join(X_46,zero)))) = join(X0,converse(join(zero,join(X_46,zero)))),
inference(subst,[],[refute_0_96:[bind(X_5,$fot(join(zero,join(X_46,zero))))]]) ).
cnf(refute_0_709,plain,
converse(join(X_42,join(zero,zero))) = converse(join(zero,join(X_42,zero))),
inference(subst,[],[refute_0_291:[bind(X1,$fot(zero)),bind(X_10,$fot(X_42)),bind(X_11,$fot(zero))]]) ).
cnf(refute_0_710,plain,
join(complement(top),composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(subst,[],[refute_0_128:[bind(X1,$fot(top))]]) ).
cnf(refute_0_711,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X0),complement(composition(X0,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_712,plain,
( join(complement(top),composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_711]) ).
cnf(refute_0_713,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X0),complement(composition(X0,top)))),complement(top)) )],[refute_0_710,refute_0_712]) ).
cnf(refute_0_714,plain,
( complement(top) != zero
| join(zero,composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_715,plain,
( join(zero,composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_714]) ).
cnf(refute_0_716,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),complement(top)) )],[refute_0_713,refute_0_715]) ).
cnf(refute_0_717,plain,
join(zero,composition(converse(one),complement(composition(one,top)))) = zero,
inference(subst,[],[refute_0_716:[bind(X0,$fot(one))]]) ).
cnf(refute_0_718,plain,
top = composition(one,top),
inference(subst,[],[refute_0_66:[bind(X_16,$fot(top))]]) ).
cnf(refute_0_719,plain,
( top != composition(one,top)
| composition(one,top) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(composition(one,top)))]]) ).
cnf(refute_0_720,plain,
composition(one,top) = top,
inference(resolve,[$cnf( $equal(top,composition(one,top)) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
( composition(one,top) != top
| join(zero,composition(converse(one),complement(composition(one,top)))) != zero
| join(zero,composition(converse(one),complement(top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(one),complement(composition(one,top)))),zero) ),[0,1,1,0],$fot(top)]]) ).
cnf(refute_0_722,plain,
( join(zero,composition(converse(one),complement(composition(one,top)))) != zero
| join(zero,composition(converse(one),complement(top))) = zero ),
inference(resolve,[$cnf( $equal(composition(one,top),top) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
join(zero,composition(converse(one),complement(top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(one),complement(composition(one,top)))),zero) )],[refute_0_717,refute_0_722]) ).
cnf(refute_0_724,plain,
composition(one,zero) = zero,
inference(subst,[],[refute_0_149:[bind(X_16,$fot(zero))]]) ).
cnf(refute_0_725,plain,
composition(one,complement(top)) = composition(one,complement(top)),
introduced(tautology,[refl,[$fot(composition(one,complement(top)))]]) ).
cnf(refute_0_726,plain,
( complement(top) != zero
| composition(one,complement(top)) != composition(one,complement(top))
| composition(one,complement(top)) = composition(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(top)),composition(one,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_727,plain,
( complement(top) != zero
| composition(one,complement(top)) = composition(one,zero) ),
inference(resolve,[$cnf( $equal(composition(one,complement(top)),composition(one,complement(top))) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
composition(one,complement(top)) = composition(one,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_727]) ).
cnf(refute_0_729,plain,
composition(converse(one),complement(top)) = composition(converse(one),complement(top)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(top)))]]) ).
cnf(refute_0_730,plain,
( composition(converse(one),complement(top)) != composition(converse(one),complement(top))
| converse(one) != one
| composition(converse(one),complement(top)) = composition(one,complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(top)),composition(converse(one),complement(top))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_731,plain,
( converse(one) != one
| composition(converse(one),complement(top)) = composition(one,complement(top)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(top)),composition(converse(one),complement(top))) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
composition(converse(one),complement(top)) = composition(one,complement(top)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_59,refute_0_731]) ).
cnf(refute_0_733,plain,
( composition(converse(one),complement(top)) != composition(one,complement(top))
| composition(one,complement(top)) != composition(one,zero)
| composition(converse(one),complement(top)) = composition(one,zero) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(composition(converse(one),complement(top)))),bind(Y,$fot(composition(one,complement(top)))),bind(Z,$fot(composition(one,zero)))]]) ).
cnf(refute_0_734,plain,
( composition(one,complement(top)) != composition(one,zero)
| composition(converse(one),complement(top)) = composition(one,zero) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(top)),composition(one,complement(top))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
composition(converse(one),complement(top)) = composition(one,zero),
inference(resolve,[$cnf( $equal(composition(one,complement(top)),composition(one,zero)) )],[refute_0_728,refute_0_734]) ).
cnf(refute_0_736,plain,
( composition(converse(one),complement(top)) != composition(one,zero)
| composition(one,zero) != zero
| composition(converse(one),complement(top)) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(composition(converse(one),complement(top)))),bind(Y,$fot(composition(one,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_737,plain,
( composition(one,zero) != zero
| composition(converse(one),complement(top)) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(top)),composition(one,zero)) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
composition(converse(one),complement(top)) = zero,
inference(resolve,[$cnf( $equal(composition(one,zero),zero) )],[refute_0_724,refute_0_737]) ).
cnf(refute_0_739,plain,
join(zero,composition(converse(one),complement(top))) = join(zero,composition(converse(one),complement(top))),
introduced(tautology,[refl,[$fot(join(zero,composition(converse(one),complement(top))))]]) ).
cnf(refute_0_740,plain,
( composition(converse(one),complement(top)) != zero
| join(zero,composition(converse(one),complement(top))) != join(zero,composition(converse(one),complement(top)))
| join(zero,composition(converse(one),complement(top))) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(one),complement(top))),join(zero,composition(converse(one),complement(top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_741,plain,
( composition(converse(one),complement(top)) != zero
| join(zero,composition(converse(one),complement(top))) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(one),complement(top))),join(zero,composition(converse(one),complement(top)))) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
join(zero,composition(converse(one),complement(top))) = join(zero,zero),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(top)),zero) )],[refute_0_738,refute_0_741]) ).
cnf(refute_0_743,plain,
( join(zero,composition(converse(one),complement(top))) != join(zero,zero)
| join(zero,composition(converse(one),complement(top))) != zero
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(one),complement(top))),zero) ),[0],$fot(join(zero,zero))]]) ).
cnf(refute_0_744,plain,
( join(zero,composition(converse(one),complement(top))) != zero
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(one),complement(top))),join(zero,zero)) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(one),complement(top))),zero) )],[refute_0_723,refute_0_744]) ).
cnf(refute_0_746,plain,
( converse(join(X_42,join(zero,zero))) != converse(join(zero,join(X_42,zero)))
| join(zero,zero) != zero
| converse(join(X_42,zero)) = converse(join(zero,join(X_42,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_42,join(zero,zero))),converse(join(zero,join(X_42,zero)))) ),[0,0,1],$fot(zero)]]) ).
cnf(refute_0_747,plain,
( converse(join(X_42,join(zero,zero))) != converse(join(zero,join(X_42,zero)))
| converse(join(X_42,zero)) = converse(join(zero,join(X_42,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
converse(join(X_42,zero)) = converse(join(zero,join(X_42,zero))),
inference(resolve,[$cnf( $equal(converse(join(X_42,join(zero,zero))),converse(join(zero,join(X_42,zero)))) )],[refute_0_709,refute_0_747]) ).
cnf(refute_0_749,plain,
converse(join(X_46,zero)) = converse(join(zero,join(X_46,zero))),
inference(subst,[],[refute_0_748:[bind(X_42,$fot(X_46))]]) ).
cnf(refute_0_750,plain,
( converse(join(X_46,zero)) != converse(join(zero,join(X_46,zero)))
| converse(join(zero,join(X_46,zero))) = converse(join(X_46,zero)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_46,zero)))),bind(Y,$fot(converse(join(zero,join(X_46,zero)))))]]) ).
cnf(refute_0_751,plain,
converse(join(zero,join(X_46,zero))) = converse(join(X_46,zero)),
inference(resolve,[$cnf( $equal(converse(join(X_46,zero)),converse(join(zero,join(X_46,zero)))) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
( converse(join(converse(X0),join(zero,join(X_46,zero)))) != join(X0,converse(join(zero,join(X_46,zero))))
| converse(join(zero,join(X_46,zero))) != converse(join(X_46,zero))
| converse(join(converse(X0),join(zero,join(X_46,zero)))) = join(X0,converse(join(X_46,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(zero,join(X_46,zero)))),join(X0,converse(join(zero,join(X_46,zero))))) ),[1,1],$fot(converse(join(X_46,zero)))]]) ).
cnf(refute_0_753,plain,
( converse(join(converse(X0),join(zero,join(X_46,zero)))) != join(X0,converse(join(zero,join(X_46,zero))))
| converse(join(converse(X0),join(zero,join(X_46,zero)))) = join(X0,converse(join(X_46,zero))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,join(X_46,zero))),converse(join(X_46,zero))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
converse(join(converse(X0),join(zero,join(X_46,zero)))) = join(X0,converse(join(X_46,zero))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(zero,join(X_46,zero)))),join(X0,converse(join(zero,join(X_46,zero))))) )],[refute_0_708,refute_0_753]) ).
cnf(refute_0_755,plain,
join(join(X_46,zero),converse(X0)) = join(X_46,join(zero,converse(X0))),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_46)),bind(X1,$fot(zero)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_0_756,plain,
join(zero,join(join(X_46,zero),converse(X0))) = join(zero,join(join(X_46,zero),converse(X0))),
introduced(tautology,[refl,[$fot(join(zero,join(join(X_46,zero),converse(X0))))]]) ).
cnf(refute_0_757,plain,
( join(join(X_46,zero),converse(X0)) != join(X_46,join(zero,converse(X0)))
| join(zero,join(join(X_46,zero),converse(X0))) != join(zero,join(join(X_46,zero),converse(X0)))
| join(zero,join(join(X_46,zero),converse(X0))) = join(zero,join(X_46,join(zero,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(X_46,zero),converse(X0))),join(zero,join(join(X_46,zero),converse(X0)))) ),[1,1],$fot(join(X_46,join(zero,converse(X0))))]]) ).
cnf(refute_0_758,plain,
( join(join(X_46,zero),converse(X0)) != join(X_46,join(zero,converse(X0)))
| join(zero,join(join(X_46,zero),converse(X0))) = join(zero,join(X_46,join(zero,converse(X0)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(X_46,zero),converse(X0))),join(zero,join(join(X_46,zero),converse(X0)))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
join(zero,join(join(X_46,zero),converse(X0))) = join(zero,join(X_46,join(zero,converse(X0)))),
inference(resolve,[$cnf( $equal(join(join(X_46,zero),converse(X0)),join(X_46,join(zero,converse(X0)))) )],[refute_0_755,refute_0_758]) ).
cnf(refute_0_760,plain,
converse(join(zero,join(join(X_46,zero),converse(X0)))) = converse(join(zero,join(join(X_46,zero),converse(X0)))),
introduced(tautology,[refl,[$fot(converse(join(zero,join(join(X_46,zero),converse(X0)))))]]) ).
cnf(refute_0_761,plain,
( converse(join(zero,join(join(X_46,zero),converse(X0)))) != converse(join(zero,join(join(X_46,zero),converse(X0))))
| join(zero,join(join(X_46,zero),converse(X0))) != join(zero,join(X_46,join(zero,converse(X0))))
| converse(join(zero,join(join(X_46,zero),converse(X0)))) = converse(join(zero,join(X_46,join(zero,converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,join(join(X_46,zero),converse(X0)))),converse(join(zero,join(join(X_46,zero),converse(X0))))) ),[1,0],$fot(join(zero,join(X_46,join(zero,converse(X0)))))]]) ).
cnf(refute_0_762,plain,
( join(zero,join(join(X_46,zero),converse(X0))) != join(zero,join(X_46,join(zero,converse(X0))))
| converse(join(zero,join(join(X_46,zero),converse(X0)))) = converse(join(zero,join(X_46,join(zero,converse(X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,join(join(X_46,zero),converse(X0)))),converse(join(zero,join(join(X_46,zero),converse(X0))))) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
converse(join(zero,join(join(X_46,zero),converse(X0)))) = converse(join(zero,join(X_46,join(zero,converse(X0))))),
inference(resolve,[$cnf( $equal(join(zero,join(join(X_46,zero),converse(X0))),join(zero,join(X_46,join(zero,converse(X0))))) )],[refute_0_759,refute_0_762]) ).
cnf(refute_0_764,plain,
join(X_41,X_43) = join(X_43,X_41),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_41)),bind(X1,$fot(X_43))]]) ).
cnf(refute_0_765,plain,
( join(X_41,X_43) != join(X_43,X_41)
| join(X_43,X_41) = join(X_41,X_43) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_41,X_43))),bind(Y,$fot(join(X_43,X_41)))]]) ).
cnf(refute_0_766,plain,
join(X_43,X_41) = join(X_41,X_43),
inference(resolve,[$cnf( $equal(join(X_41,X_43),join(X_43,X_41)) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
( converse(join(X_42,join(X_43,X_41))) != converse(join(X_43,join(X_42,X_41)))
| join(X_43,X_41) != join(X_41,X_43)
| converse(join(X_42,join(X_41,X_43))) = converse(join(X_43,join(X_42,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_42,join(X_43,X_41))),converse(join(X_43,join(X_42,X_41)))) ),[0,0,1],$fot(join(X_41,X_43))]]) ).
cnf(refute_0_768,plain,
( converse(join(X_42,join(X_43,X_41))) != converse(join(X_43,join(X_42,X_41)))
| converse(join(X_42,join(X_41,X_43))) = converse(join(X_43,join(X_42,X_41))) ),
inference(resolve,[$cnf( $equal(join(X_43,X_41),join(X_41,X_43)) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
converse(join(X_42,join(X_41,X_43))) = converse(join(X_43,join(X_42,X_41))),
inference(resolve,[$cnf( $equal(converse(join(X_42,join(X_43,X_41))),converse(join(X_43,join(X_42,X_41)))) )],[refute_0_292,refute_0_768]) ).
cnf(refute_0_770,plain,
( converse(join(X_42,join(X_41,X_43))) != converse(join(X_43,join(X_42,X_41)))
| converse(join(X_43,join(X_42,X_41))) = converse(join(X_42,join(X_41,X_43))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_42,join(X_41,X_43))))),bind(Y,$fot(converse(join(X_43,join(X_42,X_41)))))]]) ).
cnf(refute_0_771,plain,
converse(join(X_43,join(X_42,X_41))) = converse(join(X_42,join(X_41,X_43))),
inference(resolve,[$cnf( $equal(converse(join(X_42,join(X_41,X_43))),converse(join(X_43,join(X_42,X_41)))) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
converse(join(converse(X0),join(zero,join(X_46,zero)))) = converse(join(zero,join(join(X_46,zero),converse(X0)))),
inference(subst,[],[refute_0_771:[bind(X_41,$fot(join(X_46,zero))),bind(X_42,$fot(zero)),bind(X_43,$fot(converse(X0)))]]) ).
cnf(refute_0_773,plain,
( converse(join(converse(X0),join(zero,join(X_46,zero)))) != converse(join(zero,join(join(X_46,zero),converse(X0))))
| converse(join(zero,join(join(X_46,zero),converse(X0)))) != converse(join(zero,join(X_46,join(zero,converse(X0)))))
| converse(join(converse(X0),join(zero,join(X_46,zero)))) = converse(join(zero,join(X_46,join(zero,converse(X0))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(converse(X0),join(zero,join(X_46,zero)))))),bind(Y,$fot(converse(join(zero,join(join(X_46,zero),converse(X0)))))),bind(Z,$fot(converse(join(zero,join(X_46,join(zero,converse(X0)))))))]]) ).
cnf(refute_0_774,plain,
( converse(join(zero,join(join(X_46,zero),converse(X0)))) != converse(join(zero,join(X_46,join(zero,converse(X0)))))
| converse(join(converse(X0),join(zero,join(X_46,zero)))) = converse(join(zero,join(X_46,join(zero,converse(X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(zero,join(X_46,zero)))),converse(join(zero,join(join(X_46,zero),converse(X0))))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
converse(join(converse(X0),join(zero,join(X_46,zero)))) = converse(join(zero,join(X_46,join(zero,converse(X0))))),
inference(resolve,[$cnf( $equal(converse(join(zero,join(join(X_46,zero),converse(X0)))),converse(join(zero,join(X_46,join(zero,converse(X0)))))) )],[refute_0_763,refute_0_774]) ).
cnf(refute_0_776,plain,
( converse(join(converse(X0),join(zero,join(X_46,zero)))) != converse(join(zero,join(X_46,join(zero,converse(X0)))))
| converse(join(converse(X0),join(zero,join(X_46,zero)))) != join(X0,converse(join(X_46,zero)))
| converse(join(zero,join(X_46,join(zero,converse(X0))))) = join(X0,converse(join(X_46,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(zero,join(X_46,zero)))),join(X0,converse(join(X_46,zero)))) ),[0],$fot(converse(join(zero,join(X_46,join(zero,converse(X0))))))]]) ).
cnf(refute_0_777,plain,
( converse(join(converse(X0),join(zero,join(X_46,zero)))) != join(X0,converse(join(X_46,zero)))
| converse(join(zero,join(X_46,join(zero,converse(X0))))) = join(X0,converse(join(X_46,zero))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(zero,join(X_46,zero)))),converse(join(zero,join(X_46,join(zero,converse(X0)))))) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
converse(join(zero,join(X_46,join(zero,converse(X0))))) = join(X0,converse(join(X_46,zero))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(zero,join(X_46,zero)))),join(X0,converse(join(X_46,zero)))) )],[refute_0_754,refute_0_777]) ).
cnf(refute_0_779,plain,
converse(join(join(zero,join(X_46,zero)),X1)) = join(converse(join(zero,join(X_46,zero))),converse(X1)),
inference(subst,[],[refute_0_92:[bind(X0,$fot(join(zero,join(X_46,zero))))]]) ).
cnf(refute_0_780,plain,
( converse(join(join(zero,join(X_46,zero)),X1)) != join(converse(join(zero,join(X_46,zero))),converse(X1))
| converse(join(zero,join(X_46,zero))) != converse(join(X_46,zero))
| converse(join(join(zero,join(X_46,zero)),X1)) = join(converse(join(X_46,zero)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(zero,join(X_46,zero)),X1)),join(converse(join(zero,join(X_46,zero))),converse(X1))) ),[1,0],$fot(converse(join(X_46,zero)))]]) ).
cnf(refute_0_781,plain,
( converse(join(join(zero,join(X_46,zero)),X1)) != join(converse(join(zero,join(X_46,zero))),converse(X1))
| converse(join(join(zero,join(X_46,zero)),X1)) = join(converse(join(X_46,zero)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(zero,join(X_46,zero))),converse(join(X_46,zero))) )],[refute_0_751,refute_0_780]) ).
cnf(refute_0_782,plain,
converse(join(join(zero,join(X_46,zero)),X1)) = join(converse(join(X_46,zero)),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(zero,join(X_46,zero)),X1)),join(converse(join(zero,join(X_46,zero))),converse(X1))) )],[refute_0_779,refute_0_781]) ).
cnf(refute_0_783,plain,
join(join(X_46,zero),X1) = join(X_46,join(zero,X1)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_46)),bind(X1,$fot(zero)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_784,plain,
join(zero,join(join(X_46,zero),X1)) = join(zero,join(join(X_46,zero),X1)),
introduced(tautology,[refl,[$fot(join(zero,join(join(X_46,zero),X1)))]]) ).
cnf(refute_0_785,plain,
( join(join(X_46,zero),X1) != join(X_46,join(zero,X1))
| join(zero,join(join(X_46,zero),X1)) != join(zero,join(join(X_46,zero),X1))
| join(zero,join(join(X_46,zero),X1)) = join(zero,join(X_46,join(zero,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(X_46,zero),X1)),join(zero,join(join(X_46,zero),X1))) ),[1,1],$fot(join(X_46,join(zero,X1)))]]) ).
cnf(refute_0_786,plain,
( join(join(X_46,zero),X1) != join(X_46,join(zero,X1))
| join(zero,join(join(X_46,zero),X1)) = join(zero,join(X_46,join(zero,X1))) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(X_46,zero),X1)),join(zero,join(join(X_46,zero),X1))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
join(zero,join(join(X_46,zero),X1)) = join(zero,join(X_46,join(zero,X1))),
inference(resolve,[$cnf( $equal(join(join(X_46,zero),X1),join(X_46,join(zero,X1))) )],[refute_0_783,refute_0_786]) ).
cnf(refute_0_788,plain,
join(join(zero,join(X_46,zero)),X1) = join(zero,join(join(X_46,zero),X1)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(zero)),bind(X1,$fot(join(X_46,zero))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_789,plain,
( join(join(zero,join(X_46,zero)),X1) != join(zero,join(join(X_46,zero),X1))
| join(zero,join(join(X_46,zero),X1)) != join(zero,join(X_46,join(zero,X1)))
| join(join(zero,join(X_46,zero)),X1) = join(zero,join(X_46,join(zero,X1))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(join(zero,join(X_46,zero)),X1))),bind(Y,$fot(join(zero,join(join(X_46,zero),X1)))),bind(Z,$fot(join(zero,join(X_46,join(zero,X1)))))]]) ).
cnf(refute_0_790,plain,
( join(zero,join(join(X_46,zero),X1)) != join(zero,join(X_46,join(zero,X1)))
| join(join(zero,join(X_46,zero)),X1) = join(zero,join(X_46,join(zero,X1))) ),
inference(resolve,[$cnf( $equal(join(join(zero,join(X_46,zero)),X1),join(zero,join(join(X_46,zero),X1))) )],[refute_0_788,refute_0_789]) ).
cnf(refute_0_791,plain,
join(join(zero,join(X_46,zero)),X1) = join(zero,join(X_46,join(zero,X1))),
inference(resolve,[$cnf( $equal(join(zero,join(join(X_46,zero),X1)),join(zero,join(X_46,join(zero,X1)))) )],[refute_0_787,refute_0_790]) ).
cnf(refute_0_792,plain,
converse(join(join(zero,join(X_46,zero)),X1)) = converse(join(join(zero,join(X_46,zero)),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(zero,join(X_46,zero)),X1)))]]) ).
cnf(refute_0_793,plain,
( converse(join(join(zero,join(X_46,zero)),X1)) != converse(join(join(zero,join(X_46,zero)),X1))
| join(join(zero,join(X_46,zero)),X1) != join(zero,join(X_46,join(zero,X1)))
| converse(join(join(zero,join(X_46,zero)),X1)) = converse(join(zero,join(X_46,join(zero,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(zero,join(X_46,zero)),X1)),converse(join(join(zero,join(X_46,zero)),X1))) ),[1,0],$fot(join(zero,join(X_46,join(zero,X1))))]]) ).
cnf(refute_0_794,plain,
( join(join(zero,join(X_46,zero)),X1) != join(zero,join(X_46,join(zero,X1)))
| converse(join(join(zero,join(X_46,zero)),X1)) = converse(join(zero,join(X_46,join(zero,X1)))) ),
inference(resolve,[$cnf( $equal(converse(join(join(zero,join(X_46,zero)),X1)),converse(join(join(zero,join(X_46,zero)),X1))) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
converse(join(join(zero,join(X_46,zero)),X1)) = converse(join(zero,join(X_46,join(zero,X1)))),
inference(resolve,[$cnf( $equal(join(join(zero,join(X_46,zero)),X1),join(zero,join(X_46,join(zero,X1)))) )],[refute_0_791,refute_0_794]) ).
cnf(refute_0_796,plain,
( converse(join(join(zero,join(X_46,zero)),X1)) != converse(join(zero,join(X_46,join(zero,X1))))
| converse(join(join(zero,join(X_46,zero)),X1)) != join(converse(join(X_46,zero)),converse(X1))
| converse(join(zero,join(X_46,join(zero,X1)))) = join(converse(join(X_46,zero)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(zero,join(X_46,zero)),X1)),join(converse(join(X_46,zero)),converse(X1))) ),[0],$fot(converse(join(zero,join(X_46,join(zero,X1)))))]]) ).
cnf(refute_0_797,plain,
( converse(join(join(zero,join(X_46,zero)),X1)) != join(converse(join(X_46,zero)),converse(X1))
| converse(join(zero,join(X_46,join(zero,X1)))) = join(converse(join(X_46,zero)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(zero,join(X_46,zero)),X1)),converse(join(zero,join(X_46,join(zero,X1))))) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
converse(join(join(X_46,zero),X1)) = converse(join(join(X_46,zero),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_46,zero),X1)))]]) ).
cnf(refute_0_799,plain,
( converse(join(join(X_46,zero),X1)) != converse(join(join(X_46,zero),X1))
| join(join(X_46,zero),X1) != join(X_46,join(zero,X1))
| converse(join(join(X_46,zero),X1)) = converse(join(X_46,join(zero,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_46,zero),X1)),converse(join(join(X_46,zero),X1))) ),[1,0],$fot(join(X_46,join(zero,X1)))]]) ).
cnf(refute_0_800,plain,
( join(join(X_46,zero),X1) != join(X_46,join(zero,X1))
| converse(join(join(X_46,zero),X1)) = converse(join(X_46,join(zero,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_46,zero),X1)),converse(join(join(X_46,zero),X1))) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
converse(join(join(X_46,zero),X1)) = converse(join(X_46,join(zero,X1))),
inference(resolve,[$cnf( $equal(join(join(X_46,zero),X1),join(X_46,join(zero,X1))) )],[refute_0_783,refute_0_800]) ).
cnf(refute_0_802,plain,
join(converse(join(X_46,zero)),converse(X1)) = converse(join(join(X_46,zero),X1)),
inference(subst,[],[refute_0_260:[bind(X0,$fot(join(X_46,zero)))]]) ).
cnf(refute_0_803,plain,
( converse(join(join(X_46,zero),X1)) != converse(join(X_46,join(zero,X1)))
| join(converse(join(X_46,zero)),converse(X1)) != converse(join(join(X_46,zero),X1))
| join(converse(join(X_46,zero)),converse(X1)) = converse(join(X_46,join(zero,X1))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(converse(join(X_46,zero)),converse(X1)))),bind(Y,$fot(converse(join(join(X_46,zero),X1)))),bind(Z,$fot(converse(join(X_46,join(zero,X1)))))]]) ).
cnf(refute_0_804,plain,
( converse(join(join(X_46,zero),X1)) != converse(join(X_46,join(zero,X1)))
| join(converse(join(X_46,zero)),converse(X1)) = converse(join(X_46,join(zero,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_46,zero)),converse(X1)),converse(join(join(X_46,zero),X1))) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
join(converse(join(X_46,zero)),converse(X1)) = converse(join(X_46,join(zero,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_46,zero),X1)),converse(join(X_46,join(zero,X1)))) )],[refute_0_801,refute_0_804]) ).
cnf(refute_0_806,plain,
( converse(join(zero,join(X_46,join(zero,X1)))) != join(converse(join(X_46,zero)),converse(X1))
| join(converse(join(X_46,zero)),converse(X1)) != converse(join(X_46,join(zero,X1)))
| converse(join(zero,join(X_46,join(zero,X1)))) = converse(join(X_46,join(zero,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(zero,join(X_46,join(zero,X1)))),converse(join(X_46,join(zero,X1)))) ),[0],$fot(join(converse(join(X_46,zero)),converse(X1)))]]) ).
cnf(refute_0_807,plain,
( converse(join(zero,join(X_46,join(zero,X1)))) != join(converse(join(X_46,zero)),converse(X1))
| converse(join(zero,join(X_46,join(zero,X1)))) = converse(join(X_46,join(zero,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_46,zero)),converse(X1)),converse(join(X_46,join(zero,X1)))) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
( converse(join(join(zero,join(X_46,zero)),X1)) != join(converse(join(X_46,zero)),converse(X1))
| converse(join(zero,join(X_46,join(zero,X1)))) = converse(join(X_46,join(zero,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,join(X_46,join(zero,X1)))),join(converse(join(X_46,zero)),converse(X1))) )],[refute_0_797,refute_0_807]) ).
cnf(refute_0_809,plain,
converse(join(zero,join(X_46,join(zero,X1)))) = converse(join(X_46,join(zero,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(zero,join(X_46,zero)),X1)),join(converse(join(X_46,zero)),converse(X1))) )],[refute_0_782,refute_0_808]) ).
cnf(refute_0_810,plain,
converse(join(zero,join(X_46,join(zero,converse(X0))))) = converse(join(X_46,join(zero,converse(X0)))),
inference(subst,[],[refute_0_809:[bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_811,plain,
( converse(join(zero,join(X_46,join(zero,converse(X0))))) != converse(join(X_46,join(zero,converse(X0))))
| converse(join(zero,join(X_46,join(zero,converse(X0))))) != join(X0,converse(join(X_46,zero)))
| converse(join(X_46,join(zero,converse(X0)))) = join(X0,converse(join(X_46,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,join(X_46,join(zero,converse(X0))))),join(X0,converse(join(X_46,zero)))) ),[0],$fot(converse(join(X_46,join(zero,converse(X0)))))]]) ).
cnf(refute_0_812,plain,
( converse(join(zero,join(X_46,join(zero,converse(X0))))) != join(X0,converse(join(X_46,zero)))
| converse(join(X_46,join(zero,converse(X0)))) = join(X0,converse(join(X_46,zero))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,join(X_46,join(zero,converse(X0))))),converse(join(X_46,join(zero,converse(X0))))) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
converse(join(X_46,join(zero,converse(X0)))) = join(X0,converse(join(X_46,zero))),
inference(resolve,[$cnf( $equal(converse(join(zero,join(X_46,join(zero,converse(X0))))),join(X0,converse(join(X_46,zero)))) )],[refute_0_778,refute_0_812]) ).
cnf(refute_0_814,plain,
converse(join(X_4,converse(X0))) = join(converse(X_4),converse(converse(X0))),
inference(subst,[],[refute_0_92:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_815,plain,
( converse(converse(X0)) != X0
| converse(join(X_4,converse(X0))) != join(converse(X_4),converse(converse(X0)))
| converse(join(X_4,converse(X0))) = join(converse(X_4),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_816,plain,
( converse(join(X_4,converse(X0))) != join(converse(X_4),converse(converse(X0)))
| converse(join(X_4,converse(X0))) = join(converse(X_4),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_30,refute_0_815]) ).
cnf(refute_0_817,plain,
converse(join(X_4,converse(X0))) = join(converse(X_4),X0),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),converse(converse(X0)))) )],[refute_0_814,refute_0_816]) ).
cnf(refute_0_818,plain,
converse(join(X_46,converse(X0))) = join(converse(X_46),X0),
inference(subst,[],[refute_0_817:[bind(X_4,$fot(X_46))]]) ).
cnf(refute_0_819,plain,
join(zero,converse(X0)) = converse(X0),
inference(subst,[],[refute_0_641:[bind(X_64,$fot(converse(X0)))]]) ).
cnf(refute_0_820,plain,
join(X_46,join(zero,converse(X0))) = join(X_46,join(zero,converse(X0))),
introduced(tautology,[refl,[$fot(join(X_46,join(zero,converse(X0))))]]) ).
cnf(refute_0_821,plain,
( join(X_46,join(zero,converse(X0))) != join(X_46,join(zero,converse(X0)))
| join(zero,converse(X0)) != converse(X0)
| join(X_46,join(zero,converse(X0))) = join(X_46,converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_46,join(zero,converse(X0))),join(X_46,join(zero,converse(X0)))) ),[1,1],$fot(converse(X0))]]) ).
cnf(refute_0_822,plain,
( join(zero,converse(X0)) != converse(X0)
| join(X_46,join(zero,converse(X0))) = join(X_46,converse(X0)) ),
inference(resolve,[$cnf( $equal(join(X_46,join(zero,converse(X0))),join(X_46,join(zero,converse(X0)))) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
join(X_46,join(zero,converse(X0))) = join(X_46,converse(X0)),
inference(resolve,[$cnf( $equal(join(zero,converse(X0)),converse(X0)) )],[refute_0_819,refute_0_822]) ).
cnf(refute_0_824,plain,
converse(join(X_46,join(zero,converse(X0)))) = converse(join(X_46,join(zero,converse(X0)))),
introduced(tautology,[refl,[$fot(converse(join(X_46,join(zero,converse(X0)))))]]) ).
cnf(refute_0_825,plain,
( converse(join(X_46,join(zero,converse(X0)))) != converse(join(X_46,join(zero,converse(X0))))
| join(X_46,join(zero,converse(X0))) != join(X_46,converse(X0))
| converse(join(X_46,join(zero,converse(X0)))) = converse(join(X_46,converse(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_46,join(zero,converse(X0)))),converse(join(X_46,join(zero,converse(X0))))) ),[1,0],$fot(join(X_46,converse(X0)))]]) ).
cnf(refute_0_826,plain,
( join(X_46,join(zero,converse(X0))) != join(X_46,converse(X0))
| converse(join(X_46,join(zero,converse(X0)))) = converse(join(X_46,converse(X0))) ),
inference(resolve,[$cnf( $equal(converse(join(X_46,join(zero,converse(X0)))),converse(join(X_46,join(zero,converse(X0))))) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
converse(join(X_46,join(zero,converse(X0)))) = converse(join(X_46,converse(X0))),
inference(resolve,[$cnf( $equal(join(X_46,join(zero,converse(X0))),join(X_46,converse(X0))) )],[refute_0_823,refute_0_826]) ).
cnf(refute_0_828,plain,
( converse(join(X_46,converse(X0))) != join(converse(X_46),X0)
| converse(join(X_46,join(zero,converse(X0)))) != converse(join(X_46,converse(X0)))
| converse(join(X_46,join(zero,converse(X0)))) = join(converse(X_46),X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(X_46,join(zero,converse(X0)))))),bind(Y,$fot(converse(join(X_46,converse(X0))))),bind(Z,$fot(join(converse(X_46),X0)))]]) ).
cnf(refute_0_829,plain,
( converse(join(X_46,converse(X0))) != join(converse(X_46),X0)
| converse(join(X_46,join(zero,converse(X0)))) = join(converse(X_46),X0) ),
inference(resolve,[$cnf( $equal(converse(join(X_46,join(zero,converse(X0)))),converse(join(X_46,converse(X0)))) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
converse(join(X_46,join(zero,converse(X0)))) = join(converse(X_46),X0),
inference(resolve,[$cnf( $equal(converse(join(X_46,converse(X0))),join(converse(X_46),X0)) )],[refute_0_818,refute_0_829]) ).
cnf(refute_0_831,plain,
( converse(join(X_46,join(zero,converse(X0)))) != join(X0,converse(join(X_46,zero)))
| converse(join(X_46,join(zero,converse(X0)))) != join(converse(X_46),X0)
| join(converse(X_46),X0) = join(X0,converse(join(X_46,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_46,join(zero,converse(X0)))),join(X0,converse(join(X_46,zero)))) ),[0],$fot(join(converse(X_46),X0))]]) ).
cnf(refute_0_832,plain,
( converse(join(X_46,join(zero,converse(X0)))) != join(X0,converse(join(X_46,zero)))
| join(converse(X_46),X0) = join(X0,converse(join(X_46,zero))) ),
inference(resolve,[$cnf( $equal(converse(join(X_46,join(zero,converse(X0)))),join(converse(X_46),X0)) )],[refute_0_830,refute_0_831]) ).
cnf(refute_0_833,plain,
join(converse(X_46),X0) = join(X0,converse(join(X_46,zero))),
inference(resolve,[$cnf( $equal(converse(join(X_46,join(zero,converse(X0)))),join(X0,converse(join(X_46,zero)))) )],[refute_0_813,refute_0_832]) ).
cnf(refute_0_834,plain,
join(zero,X_46) = join(X_46,zero),
inference(subst,[],[refute_0_1:[bind(X0,$fot(zero)),bind(X1,$fot(X_46))]]) ).
cnf(refute_0_835,plain,
( join(zero,X_46) != join(X_46,zero)
| join(X_46,zero) = join(zero,X_46) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(zero,X_46))),bind(Y,$fot(join(X_46,zero)))]]) ).
cnf(refute_0_836,plain,
join(X_46,zero) = join(zero,X_46),
inference(resolve,[$cnf( $equal(join(zero,X_46),join(X_46,zero)) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
( converse(join(X_46,zero)) != converse(join(zero,join(X_46,zero)))
| join(X_46,zero) != join(zero,X_46)
| converse(join(X_46,zero)) = converse(join(zero,join(zero,X_46))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_46,zero)),converse(join(zero,join(X_46,zero)))) ),[1,0,1],$fot(join(zero,X_46))]]) ).
cnf(refute_0_838,plain,
( converse(join(X_46,zero)) != converse(join(zero,join(X_46,zero)))
| converse(join(X_46,zero)) = converse(join(zero,join(zero,X_46))) ),
inference(resolve,[$cnf( $equal(join(X_46,zero),join(zero,X_46)) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
converse(join(X_46,zero)) = converse(join(zero,join(zero,X_46))),
inference(resolve,[$cnf( $equal(converse(join(X_46,zero)),converse(join(zero,join(X_46,zero)))) )],[refute_0_749,refute_0_838]) ).
cnf(refute_0_840,plain,
join(zero,X_46) = X_46,
inference(subst,[],[refute_0_641:[bind(X_64,$fot(X_46))]]) ).
cnf(refute_0_841,plain,
join(zero,join(zero,X_46)) = join(zero,X_46),
inference(subst,[],[refute_0_641:[bind(X_64,$fot(join(zero,X_46)))]]) ).
cnf(refute_0_842,plain,
( join(zero,X_46) != X_46
| join(zero,join(zero,X_46)) != join(zero,X_46)
| join(zero,join(zero,X_46)) = X_46 ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,join(zero,X_46)))),bind(Y,$fot(join(zero,X_46))),bind(Z,$fot(X_46))]]) ).
cnf(refute_0_843,plain,
( join(zero,X_46) != X_46
| join(zero,join(zero,X_46)) = X_46 ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_46)),join(zero,X_46)) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
join(zero,join(zero,X_46)) = X_46,
inference(resolve,[$cnf( $equal(join(zero,X_46),X_46) )],[refute_0_840,refute_0_843]) ).
cnf(refute_0_845,plain,
converse(join(zero,join(zero,X_46))) = converse(join(zero,join(zero,X_46))),
introduced(tautology,[refl,[$fot(converse(join(zero,join(zero,X_46))))]]) ).
cnf(refute_0_846,plain,
( converse(join(zero,join(zero,X_46))) != converse(join(zero,join(zero,X_46)))
| join(zero,join(zero,X_46)) != X_46
| converse(join(zero,join(zero,X_46))) = converse(X_46) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,join(zero,X_46))),converse(join(zero,join(zero,X_46)))) ),[1,0],$fot(X_46)]]) ).
cnf(refute_0_847,plain,
( join(zero,join(zero,X_46)) != X_46
| converse(join(zero,join(zero,X_46))) = converse(X_46) ),
inference(resolve,[$cnf( $equal(converse(join(zero,join(zero,X_46))),converse(join(zero,join(zero,X_46)))) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
converse(join(zero,join(zero,X_46))) = converse(X_46),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_46)),X_46) )],[refute_0_844,refute_0_847]) ).
cnf(refute_0_849,plain,
( converse(join(X_46,zero)) != converse(join(zero,join(zero,X_46)))
| converse(join(zero,join(zero,X_46))) != converse(X_46)
| converse(join(X_46,zero)) = converse(X_46) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_46,zero)),converse(X_46)) ),[0],$fot(converse(join(zero,join(zero,X_46))))]]) ).
cnf(refute_0_850,plain,
( converse(join(X_46,zero)) != converse(join(zero,join(zero,X_46)))
| converse(join(X_46,zero)) = converse(X_46) ),
inference(resolve,[$cnf( $equal(converse(join(zero,join(zero,X_46))),converse(X_46)) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
converse(join(X_46,zero)) = converse(X_46),
inference(resolve,[$cnf( $equal(converse(join(X_46,zero)),converse(join(zero,join(zero,X_46)))) )],[refute_0_839,refute_0_850]) ).
cnf(refute_0_852,plain,
join(X0,converse(join(X_46,zero))) = join(X0,converse(join(X_46,zero))),
introduced(tautology,[refl,[$fot(join(X0,converse(join(X_46,zero))))]]) ).
cnf(refute_0_853,plain,
( converse(join(X_46,zero)) != converse(X_46)
| join(X0,converse(join(X_46,zero))) != join(X0,converse(join(X_46,zero)))
| join(X0,converse(join(X_46,zero))) = join(X0,converse(X_46)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(join(X_46,zero))),join(X0,converse(join(X_46,zero)))) ),[1,1],$fot(converse(X_46))]]) ).
cnf(refute_0_854,plain,
( converse(join(X_46,zero)) != converse(X_46)
| join(X0,converse(join(X_46,zero))) = join(X0,converse(X_46)) ),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_46,zero))),join(X0,converse(join(X_46,zero)))) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
join(X0,converse(join(X_46,zero))) = join(X0,converse(X_46)),
inference(resolve,[$cnf( $equal(converse(join(X_46,zero)),converse(X_46)) )],[refute_0_851,refute_0_854]) ).
cnf(refute_0_856,plain,
( join(X0,converse(join(X_46,zero))) != join(X0,converse(X_46))
| join(converse(X_46),X0) != join(X0,converse(join(X_46,zero)))
| join(converse(X_46),X0) = join(X0,converse(X_46)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_46),X0),join(X0,converse(join(X_46,zero)))) ),[1],$fot(join(X0,converse(X_46)))]]) ).
cnf(refute_0_857,plain,
( join(converse(X_46),X0) != join(X0,converse(join(X_46,zero)))
| join(converse(X_46),X0) = join(X0,converse(X_46)) ),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_46,zero))),join(X0,converse(X_46))) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
join(converse(X_46),X0) = join(X0,converse(X_46)),
inference(resolve,[$cnf( $equal(join(converse(X_46),X0),join(X0,converse(join(X_46,zero)))) )],[refute_0_833,refute_0_857]) ).
cnf(refute_0_859,plain,
join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_858:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X_46,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_860,plain,
complement(complement(skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X1,
inference(subst,[],[refute_0_479:[bind(X_64,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_861,plain,
join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))) = join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_862,plain,
( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
| join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))) != join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))
| join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))) = join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))),join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))) ),[1,1],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_863,plain,
( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
| join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))) = join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))),join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))) = join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) )],[refute_0_860,refute_0_863]) ).
cnf(refute_0_865,plain,
( join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))) != join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)
| join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1))),bind(Z,$fot(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_866,plain,
( join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))),join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1),join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) )],[refute_0_859,refute_0_866]) ).
cnf(refute_0_868,plain,
complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))) = complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))),
introduced(tautology,[refl,[$fot(complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_869,plain,
( complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))) != complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))
| join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))) ),[1,0],$fot(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_870,plain,
( join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) )],[refute_0_867,refute_0_870]) ).
cnf(refute_0_872,plain,
join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))) = join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_873,plain,
( complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))) != complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))) != join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))))
| join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))) = join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))),join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_874,plain,
( complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))) != complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))) = join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))),join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))) = join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) )],[refute_0_871,refute_0_874]) ).
cnf(refute_0_876,plain,
( complement(skolemFOFtoCNF_X1) != join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))))
| join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))) != join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))
| complement(skolemFOFtoCNF_X1) = join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X1),join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_877,plain,
( complement(skolemFOFtoCNF_X1) != join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))))
| complement(skolemFOFtoCNF_X1) = join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1))))),join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
complement(skolemFOFtoCNF_X1) = join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X1)))))) )],[refute_0_707,refute_0_877]) ).
cnf(refute_0_879,plain,
( complement(skolemFOFtoCNF_X1) != join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))
| join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(skolemFOFtoCNF_X1))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_880,plain,
join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
( converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X1)
| converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_882,plain,
( converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))
| converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X1)) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_677,refute_0_882]) ).
cnf(refute_0_884,plain,
converse(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_96:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_5,$fot(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_885,plain,
( converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))
| converse(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))
| converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_886,plain,
( converse(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))
| converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_677,refute_0_885]) ).
cnf(refute_0_887,plain,
converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_884,refute_0_886]) ).
cnf(refute_0_888,plain,
( converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X1))
| converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) = converse(complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X1))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_889,plain,
( converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) = converse(complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_887,refute_0_888]) ).
cnf(refute_0_890,plain,
join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) = converse(complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(converse(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_883,refute_0_889]) ).
cnf(refute_0_891,plain,
( join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != converse(complement(skolemFOFtoCNF_X1))
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(converse(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_892,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_676,refute_0_892]) ).
cnf(refute_0_894,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))
| meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_895,plain,
meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
( meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))),complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))),complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_897,plain,
( skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))),complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
skolemFOFtoCNF_X0 = join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))),complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))))) )],[refute_0_369,refute_0_897]) ).
cnf(refute_0_899,plain,
join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_858:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X_46,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_900,plain,
complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))) = complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_901,plain,
( complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))) != complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))
| join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))
| complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))) = complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))),complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_902,plain,
( join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))
| complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))) = complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))),complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))) = complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))) )],[refute_0_899,refute_0_902]) ).
cnf(refute_0_904,plain,
join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_905,plain,
( complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))) != complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_906,plain,
( complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))) != complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))))) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))),complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))) )],[refute_0_903,refute_0_906]) ).
cnf(refute_0_908,plain,
( join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))))
| skolemFOFtoCNF_X0 != join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))))) ),[1],$fot(join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_909,plain,
( skolemFOFtoCNF_X0 != join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))))) )],[refute_0_907,refute_0_908]) ).
cnf(refute_0_910,plain,
skolemFOFtoCNF_X0 = join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(join(converse(complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0))))) )],[refute_0_898,refute_0_909]) ).
cnf(refute_0_911,plain,
( skolemFOFtoCNF_X0 != join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))))
| join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))))))]]) ).
cnf(refute_0_912,plain,
join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
( join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) != join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))))))
| join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))) != skolemFOFtoCNF_X0
| join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))))))) ),[1,1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_914,plain,
( join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) != join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))))))
| join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))),skolemFOFtoCNF_X0) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))))))) )],[refute_0_368,refute_0_914]) ).
cnf(refute_0_916,plain,
join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top,
inference(subst,[],[refute_0_199:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_917,plain,
join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_918,plain,
( join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
| join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_919,plain,
( join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
| join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = top ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = top,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_916,refute_0_919]) ).
cnf(refute_0_921,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135))),
inference(subst,[],[refute_0_675:[bind(X_139,$fot(join(converse(complement(skolemFOFtoCNF_X1)),X_135))),bind(X_64,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_922,plain,
join(X_135,join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))) = join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_269:[bind(X0,$fot(X_135)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(converse(complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_923,plain,
converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) = converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_264:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_924,plain,
meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) = complement(join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_220:[bind(X1,$fot(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_925,plain,
skolemFOFtoCNF_X1 = join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_926,plain,
( meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) != zero
| skolemFOFtoCNF_X1 != join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X1 = join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X1,join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_927,plain,
( skolemFOFtoCNF_X1 != join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X1 = join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),zero) )],[refute_0_691,refute_0_926]) ).
cnf(refute_0_928,plain,
skolemFOFtoCNF_X1 = join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1,join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))) )],[refute_0_925,refute_0_927]) ).
cnf(refute_0_929,plain,
( skolemFOFtoCNF_X1 != join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))
| join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X1 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X1)),bind(Y,$fot(join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_930,plain,
join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1,join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
( join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X1
| meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) != complement(join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))))
| meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))),complement(join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_932,plain,
( meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) != complement(join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))))
| meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))),complement(join(zero,complement(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_924,refute_0_932]) ).
cnf(refute_0_934,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_355:[bind(X_66,$fot(X1))]]) ).
cnf(refute_0_935,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_936,plain,
( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_937,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_934,refute_0_937]) ).
cnf(refute_0_939,plain,
( complement(join(zero,complement(X1))) != complement(complement(X1))
| meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[1],$fot(complement(complement(X1)))]]) ).
cnf(refute_0_940,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
meet(top,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_220,refute_0_940]) ).
cnf(refute_0_942,plain,
( complement(complement(X1)) != X1
| meet(top,X1) != complement(complement(X1))
| meet(top,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_0_943,plain,
( meet(top,X1) != complement(complement(X1))
| meet(top,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_480,refute_0_942]) ).
cnf(refute_0_944,plain,
meet(top,X1) = X1,
inference(resolve,[$cnf( $equal(meet(top,X1),complement(complement(X1))) )],[refute_0_941,refute_0_943]) ).
cnf(refute_0_945,plain,
meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) = join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_944:[bind(X1,$fot(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_946,plain,
( meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X1)
| meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) != join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))
| join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X1)) ),[0],$fot(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_947,plain,
( meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X1)
| join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(meet(top,join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X1)) )],[refute_0_933,refute_0_947]) ).
cnf(refute_0_949,plain,
( converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) != converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))
| join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X1)
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) = converse(complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))),converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(complement(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_950,plain,
( converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) != converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) = converse(complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) = converse(complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))),converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))) )],[refute_0_923,refute_0_950]) ).
cnf(refute_0_952,plain,
join(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_858:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_46,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_953,plain,
converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_817:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_4,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_954,plain,
( converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0)
| join(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))
| converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_955,plain,
( join(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))
| converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0)) )],[refute_0_953,refute_0_954]) ).
cnf(refute_0_956,plain,
converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))) )],[refute_0_952,refute_0_955]) ).
cnf(refute_0_957,plain,
( converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) != converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))))),bind(Y,$fot(converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_958,plain,
( converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))),converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)))) )],[refute_0_923,refute_0_957]) ).
cnf(refute_0_959,plain,
converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))) )],[refute_0_956,refute_0_958]) ).
cnf(refute_0_960,plain,
( converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) != converse(complement(skolemFOFtoCNF_X1))
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))
| join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) = converse(complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))),converse(complement(skolemFOFtoCNF_X1))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_961,plain,
( converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) != converse(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) = converse(complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) = converse(complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_951,refute_0_961]) ).
cnf(refute_0_963,plain,
( join(X_135,join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))) != join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))
| join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))) != converse(complement(skolemFOFtoCNF_X1))
| join(X_135,converse(complement(skolemFOFtoCNF_X1))) = join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_135,join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))),join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))) ),[0,1],$fot(converse(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_964,plain,
( join(X_135,join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))) != join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))
| join(X_135,converse(complement(skolemFOFtoCNF_X1))) = join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
join(X_135,converse(complement(skolemFOFtoCNF_X1))) = join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(join(X_135,join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X1)))),join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))) )],[refute_0_922,refute_0_964]) ).
cnf(refute_0_966,plain,
join(X0,join(X_135,X_136)) = join(join(X_135,X_136),X0),
inference(subst,[],[refute_0_1:[bind(X1,$fot(join(X_135,X_136)))]]) ).
cnf(refute_0_967,plain,
join(X_135,join(X_136,X0)) = join(join(X_135,X_136),X0),
inference(subst,[],[refute_0_269:[bind(X0,$fot(X_135)),bind(X1,$fot(X_136)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_968,plain,
( join(X_135,join(X_136,X0)) != join(join(X_135,X_136),X0)
| join(join(X_135,X_136),X0) = join(X_135,join(X_136,X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_135,join(X_136,X0)))),bind(Y,$fot(join(join(X_135,X_136),X0)))]]) ).
cnf(refute_0_969,plain,
join(join(X_135,X_136),X0) = join(X_135,join(X_136,X0)),
inference(resolve,[$cnf( $equal(join(X_135,join(X_136,X0)),join(join(X_135,X_136),X0)) )],[refute_0_967,refute_0_968]) ).
cnf(refute_0_970,plain,
( join(X0,join(X_135,X_136)) != join(join(X_135,X_136),X0)
| join(join(X_135,X_136),X0) != join(X_135,join(X_136,X0))
| join(X0,join(X_135,X_136)) = join(X_135,join(X_136,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_135,X_136)),join(X_135,join(X_136,X0))) ),[0],$fot(join(join(X_135,X_136),X0))]]) ).
cnf(refute_0_971,plain,
( join(X0,join(X_135,X_136)) != join(join(X_135,X_136),X0)
| join(X0,join(X_135,X_136)) = join(X_135,join(X_136,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_135,X_136),X0),join(X_135,join(X_136,X0))) )],[refute_0_969,refute_0_970]) ).
cnf(refute_0_972,plain,
join(X0,join(X_135,X_136)) = join(X_135,join(X_136,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_135,X_136)),join(join(X_135,X_136),X0)) )],[refute_0_966,refute_0_971]) ).
cnf(refute_0_973,plain,
( join(X0,join(X_135,X_136)) != join(X_135,join(X_136,X0))
| join(X_135,join(X_136,X0)) = join(X0,join(X_135,X_136)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X_135,X_136)))),bind(Y,$fot(join(X_135,join(X_136,X0))))]]) ).
cnf(refute_0_974,plain,
join(X_135,join(X_136,X0)) = join(X0,join(X_135,X_136)),
inference(resolve,[$cnf( $equal(join(X0,join(X_135,X_136)),join(X_135,join(X_136,X0))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
join(converse(complement(skolemFOFtoCNF_X1)),join(X_135,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)),
inference(subst,[],[refute_0_974:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_135,$fot(converse(complement(skolemFOFtoCNF_X1)))),bind(X_136,$fot(X_135))]]) ).
cnf(refute_0_976,plain,
( join(converse(X_46),X0) != join(X0,converse(X_46))
| join(X0,converse(X_46)) = join(converse(X_46),X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(converse(X_46),X0))),bind(Y,$fot(join(X0,converse(X_46))))]]) ).
cnf(refute_0_977,plain,
join(X0,converse(X_46)) = join(converse(X_46),X0),
inference(resolve,[$cnf( $equal(join(converse(X_46),X0),join(X0,converse(X_46))) )],[refute_0_858,refute_0_976]) ).
cnf(refute_0_978,plain,
join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = join(converse(complement(skolemFOFtoCNF_X1)),join(X_135,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_977:[bind(X0,$fot(join(X_135,skolemFOFtoCNF_X0))),bind(X_46,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_979,plain,
( join(converse(complement(skolemFOFtoCNF_X1)),join(X_135,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135))
| join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) != join(converse(complement(skolemFOFtoCNF_X1)),join(X_135,skolemFOFtoCNF_X0))
| join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))),bind(Y,$fot(join(converse(complement(skolemFOFtoCNF_X1)),join(X_135,skolemFOFtoCNF_X0)))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135))))]]) ).
cnf(refute_0_980,plain,
( join(converse(complement(skolemFOFtoCNF_X1)),join(X_135,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135))
| join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)) ),
inference(resolve,[$cnf( $equal(join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),join(converse(complement(skolemFOFtoCNF_X1)),join(X_135,skolemFOFtoCNF_X0))) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X1)),join(X_135,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135))) )],[refute_0_975,refute_0_980]) ).
cnf(refute_0_982,plain,
( join(X_135,converse(complement(skolemFOFtoCNF_X1))) != join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))
| join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135))
| join(X_135,converse(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_135,converse(complement(skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135))) ),[0],$fot(join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_983,plain,
( join(X_135,converse(complement(skolemFOFtoCNF_X1))) != join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))
| join(X_135,converse(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)) ),
inference(resolve,[$cnf( $equal(join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135))) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
join(X_135,converse(complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)),
inference(resolve,[$cnf( $equal(join(X_135,converse(complement(skolemFOFtoCNF_X1))),join(join(X_135,skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))) )],[refute_0_965,refute_0_983]) ).
cnf(refute_0_985,plain,
( join(X_135,converse(complement(skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135))
| join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)) = join(X_135,converse(complement(skolemFOFtoCNF_X1))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_135,converse(complement(skolemFOFtoCNF_X1))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135))))]]) ).
cnf(refute_0_986,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)) = join(X_135,converse(complement(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(join(X_135,converse(complement(skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135))) )],[refute_0_984,refute_0_985]) ).
cnf(refute_0_987,plain,
( join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)) != join(X_135,converse(complement(skolemFOFtoCNF_X1)))
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_135,converse(complement(skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)))) ),[1,1],$fot(join(X_135,converse(complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_988,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_135,converse(complement(skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)),join(X_135,converse(complement(skolemFOFtoCNF_X1)))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_135,converse(complement(skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(converse(complement(skolemFOFtoCNF_X1)),X_135)))) )],[refute_0_921,refute_0_988]) ).
cnf(refute_0_990,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(X_135,converse(complement(skolemFOFtoCNF_X1))))
| meet(skolemFOFtoCNF_X0,join(X_135,converse(complement(skolemFOFtoCNF_X1)))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,join(X_135,converse(complement(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_991,plain,
meet(skolemFOFtoCNF_X0,join(X_135,converse(complement(skolemFOFtoCNF_X1)))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(X_135,converse(complement(skolemFOFtoCNF_X1))))) )],[refute_0_989,refute_0_990]) ).
cnf(refute_0_992,plain,
meet(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_991:[bind(X_135,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_993,plain,
meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_238:[bind(X_25,$fot(skolemFOFtoCNF_X0)),bind(X_26,$fot(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_994,plain,
( meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))
| meet(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))) != skolemFOFtoCNF_X0
| meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_995,plain,
( meet(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))) != skolemFOFtoCNF_X0
| meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))),skolemFOFtoCNF_X0) )],[refute_0_992,refute_0_995]) ).
cnf(refute_0_997,plain,
join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_998,plain,
( join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))
| meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_999,plain,
( meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_996,refute_0_999]) ).
cnf(refute_0_1001,plain,
( join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != top
| join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1002,plain,
( join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != top
| join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) = top ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) )],[refute_0_920,refute_0_1002]) ).
cnf(refute_0_1004,plain,
join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1005,plain,
( join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) != top
| join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))
| join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1006,plain,
( join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) != top
| join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = top ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)),top) )],[refute_0_1003,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) != join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
| join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != top
| join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),top) ),[0],$fot(join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1009,plain,
( join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) != join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
| join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = top ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),top) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = top,
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),join(meet(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) )],[refute_0_915,refute_0_1009]) ).
cnf(refute_0_1011,plain,
join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X1))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_546:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1012,plain,
converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) = converse(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),
inference(subst,[],[refute_0_264:[bind(X0,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1013,plain,
meet(complement(X_71),X_72) = meet(X_72,complement(X_71)),
inference(subst,[],[refute_0_236:[bind(X_25,$fot(complement(X_71))),bind(X_26,$fot(X_72))]]) ).
cnf(refute_0_1014,plain,
( meet(complement(X_71),X_72) != meet(X_72,complement(X_71))
| meet(X_72,complement(X_71)) = meet(complement(X_71),X_72) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_71),X_72))),bind(Y,$fot(meet(X_72,complement(X_71))))]]) ).
cnf(refute_0_1015,plain,
meet(X_72,complement(X_71)) = meet(complement(X_71),X_72),
inference(resolve,[$cnf( $equal(meet(complement(X_71),X_72),meet(X_72,complement(X_71))) )],[refute_0_1013,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( X_72 != join(meet(X_72,X_71),meet(X_72,complement(X_71)))
| meet(X_72,complement(X_71)) != meet(complement(X_71),X_72)
| X_72 = join(meet(X_72,X_71),meet(complement(X_71),X_72)) ),
introduced(tautology,[equality,[$cnf( $equal(X_72,join(meet(X_72,X_71),meet(X_72,complement(X_71)))) ),[1,1],$fot(meet(complement(X_71),X_72))]]) ).
cnf(refute_0_1017,plain,
( X_72 != join(meet(X_72,X_71),meet(X_72,complement(X_71)))
| X_72 = join(meet(X_72,X_71),meet(complement(X_71),X_72)) ),
inference(resolve,[$cnf( $equal(meet(X_72,complement(X_71)),meet(complement(X_71),X_72)) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
X_72 = join(meet(X_72,X_71),meet(complement(X_71),X_72)),
inference(resolve,[$cnf( $equal(X_72,join(meet(X_72,X_71),meet(X_72,complement(X_71)))) )],[refute_0_679,refute_0_1017]) ).
cnf(refute_0_1019,plain,
X_103 = join(meet(X_103,X_102),meet(complement(X_102),X_103)),
inference(subst,[],[refute_0_1018:[bind(X_71,$fot(X_102)),bind(X_72,$fot(X_103))]]) ).
cnf(refute_0_1020,plain,
meet(X_102,X_103) = meet(X_103,X_102),
inference(subst,[],[refute_0_236:[bind(X_25,$fot(X_102)),bind(X_26,$fot(X_103))]]) ).
cnf(refute_0_1021,plain,
( meet(X_102,X_103) != meet(X_103,X_102)
| meet(X_103,X_102) = meet(X_102,X_103) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_102,X_103))),bind(Y,$fot(meet(X_103,X_102)))]]) ).
cnf(refute_0_1022,plain,
meet(X_103,X_102) = meet(X_102,X_103),
inference(resolve,[$cnf( $equal(meet(X_102,X_103),meet(X_103,X_102)) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
( X_103 != join(meet(X_103,X_102),meet(complement(X_102),X_103))
| meet(X_103,X_102) != meet(X_102,X_103)
| X_103 = join(meet(X_102,X_103),meet(complement(X_102),X_103)) ),
introduced(tautology,[equality,[$cnf( $equal(X_103,join(meet(X_103,X_102),meet(complement(X_102),X_103))) ),[1,0],$fot(meet(X_102,X_103))]]) ).
cnf(refute_0_1024,plain,
( X_103 != join(meet(X_103,X_102),meet(complement(X_102),X_103))
| X_103 = join(meet(X_102,X_103),meet(complement(X_102),X_103)) ),
inference(resolve,[$cnf( $equal(meet(X_103,X_102),meet(X_102,X_103)) )],[refute_0_1022,refute_0_1023]) ).
cnf(refute_0_1025,plain,
X_103 = join(meet(X_102,X_103),meet(complement(X_102),X_103)),
inference(resolve,[$cnf( $equal(X_103,join(meet(X_103,X_102),meet(complement(X_102),X_103))) )],[refute_0_1019,refute_0_1024]) ).
cnf(refute_0_1026,plain,
converse(complement(converse(skolemFOFtoCNF_X1))) = join(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1)))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))),
inference(subst,[],[refute_0_1025:[bind(X_102,$fot(converse(skolemFOFtoCNF_X0))),bind(X_103,$fot(converse(complement(converse(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1027,plain,
converse(skolemFOFtoCNF_X0) = meet(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_219))),
inference(subst,[],[refute_0_675:[bind(X_139,$fot(join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_219))),bind(X_64,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1028,plain,
join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_137)) = join(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137),
inference(subst,[],[refute_0_269:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),bind(X2,$fot(X_137))]]) ).
cnf(refute_0_1029,plain,
( join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X1)
| join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_137)) != join(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137)
| join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_137)) = join(complement(skolemFOFtoCNF_X1),X_137) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_137)),join(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137)) ),[1,0],$fot(complement(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1030,plain,
( join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_137)) != join(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137)
| join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_137)) = join(complement(skolemFOFtoCNF_X1),X_137) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X1)) )],[refute_0_880,refute_0_1029]) ).
cnf(refute_0_1031,plain,
join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_137)) = join(complement(skolemFOFtoCNF_X1),X_137),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_137)),join(join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137)) )],[refute_0_1028,refute_0_1030]) ).
cnf(refute_0_1032,plain,
join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_219)) = join(complement(skolemFOFtoCNF_X1),X_219),
inference(subst,[],[refute_0_1031:[bind(X_137,$fot(X_219))]]) ).
cnf(refute_0_1033,plain,
( converse(skolemFOFtoCNF_X0) != meet(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_219)))
| join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_219)) != join(complement(skolemFOFtoCNF_X1),X_219)
| converse(skolemFOFtoCNF_X0) = meet(converse(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X1),X_219)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_219)))) ),[1,1],$fot(join(complement(skolemFOFtoCNF_X1),X_219))]]) ).
cnf(refute_0_1034,plain,
( converse(skolemFOFtoCNF_X0) != meet(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_219)))
| converse(skolemFOFtoCNF_X0) = meet(converse(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X1),X_219)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_219)),join(complement(skolemFOFtoCNF_X1),X_219)) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
converse(skolemFOFtoCNF_X0) = meet(converse(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X1),X_219)),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),X_219)))) )],[refute_0_1027,refute_0_1034]) ).
cnf(refute_0_1036,plain,
converse(skolemFOFtoCNF_X0) = meet(converse(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1)))))),
inference(subst,[],[refute_0_1035:[bind(X_219,$fot(meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_1037,plain,
converse(complement(converse(X_194))) = join(meet(complement(X_194),converse(complement(converse(X_194)))),meet(converse(complement(converse(X_194))),complement(complement(X_194)))),
inference(subst,[],[refute_0_685:[bind(X_71,$fot(complement(X_194))),bind(X_72,$fot(converse(complement(converse(X_194)))))]]) ).
cnf(refute_0_1038,plain,
X_64 = join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(join(complement(X_64),converse(complement(converse(complement(X_64))))))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_64)),bind(X1,$fot(converse(complement(converse(complement(X_64))))))]]) ).
cnf(refute_0_1039,plain,
converse(join(converse(X_22),complement(converse(X_22)))) = join(X_22,converse(complement(converse(X_22)))),
inference(subst,[],[refute_0_96:[bind(X0,$fot(X_22)),bind(X_5,$fot(complement(converse(X_22))))]]) ).
cnf(refute_0_1040,plain,
top = join(converse(X_22),complement(converse(X_22))),
inference(subst,[],[refute_0_197:[bind(X0,$fot(converse(X_22)))]]) ).
cnf(refute_0_1041,plain,
( top != join(converse(X_22),complement(converse(X_22)))
| join(converse(X_22),complement(converse(X_22))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_22),complement(converse(X_22)))))]]) ).
cnf(refute_0_1042,plain,
join(converse(X_22),complement(converse(X_22))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_22),complement(converse(X_22)))) )],[refute_0_1040,refute_0_1041]) ).
cnf(refute_0_1043,plain,
( converse(join(converse(X_22),complement(converse(X_22)))) != join(X_22,converse(complement(converse(X_22))))
| join(converse(X_22),complement(converse(X_22))) != top
| converse(top) = join(X_22,converse(complement(converse(X_22)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_22),complement(converse(X_22)))),join(X_22,converse(complement(converse(X_22))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1044,plain,
( converse(join(converse(X_22),complement(converse(X_22)))) != join(X_22,converse(complement(converse(X_22))))
| converse(top) = join(X_22,converse(complement(converse(X_22)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_22),complement(converse(X_22))),top) )],[refute_0_1042,refute_0_1043]) ).
cnf(refute_0_1045,plain,
converse(top) = join(X_22,converse(complement(converse(X_22)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_22),complement(converse(X_22)))),join(X_22,converse(complement(converse(X_22))))) )],[refute_0_1039,refute_0_1044]) ).
cnf(refute_0_1046,plain,
converse(top) = join(complement(X_64),converse(complement(converse(complement(X_64))))),
inference(subst,[],[refute_0_1045:[bind(X_22,$fot(complement(X_64)))]]) ).
cnf(refute_0_1047,plain,
( converse(top) != join(complement(X_64),converse(complement(converse(complement(X_64)))))
| join(complement(X_64),converse(complement(converse(complement(X_64))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_64),converse(complement(converse(complement(X_64)))))))]]) ).
cnf(refute_0_1048,plain,
join(complement(X_64),converse(complement(converse(complement(X_64))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_64),converse(complement(converse(complement(X_64)))))) )],[refute_0_1046,refute_0_1047]) ).
cnf(refute_0_1049,plain,
( X_64 != join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(join(complement(X_64),converse(complement(converse(complement(X_64)))))))
| join(complement(X_64),converse(complement(converse(complement(X_64))))) != converse(top)
| X_64 = join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_64,join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(join(complement(X_64),converse(complement(converse(complement(X_64)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1050,plain,
( X_64 != join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(join(complement(X_64),converse(complement(converse(complement(X_64)))))))
| X_64 = join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),converse(complement(converse(complement(X_64))))),converse(top)) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
X_64 = join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_64,join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(join(complement(X_64),converse(complement(converse(complement(X_64)))))))) )],[refute_0_1038,refute_0_1050]) ).
cnf(refute_0_1052,plain,
join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(converse(top))) = join(complement(converse(top)),meet(X_64,converse(complement(converse(complement(X_64)))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_64,converse(complement(converse(complement(X_64)))))))]]) ).
cnf(refute_0_1053,plain,
( X_64 != join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(converse(top)))
| join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(converse(top))) != join(complement(converse(top)),meet(X_64,converse(complement(converse(complement(X_64))))))
| X_64 = join(complement(converse(top)),meet(X_64,converse(complement(converse(complement(X_64)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,join(complement(converse(top)),meet(X_64,converse(complement(converse(complement(X_64))))))) ),[0],$fot(join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(converse(top))))]]) ).
cnf(refute_0_1054,plain,
( X_64 != join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(converse(top)))
| X_64 = join(complement(converse(top)),meet(X_64,converse(complement(converse(complement(X_64)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(converse(top))),join(complement(converse(top)),meet(X_64,converse(complement(converse(complement(X_64))))))) )],[refute_0_1052,refute_0_1053]) ).
cnf(refute_0_1055,plain,
X_64 = join(complement(converse(top)),meet(X_64,converse(complement(converse(complement(X_64)))))),
inference(resolve,[$cnf( $equal(X_64,join(meet(X_64,converse(complement(converse(complement(X_64))))),complement(converse(top)))) )],[refute_0_1051,refute_0_1054]) ).
cnf(refute_0_1056,plain,
complement(X_64) = join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(complement(complement(X_64))))))),
inference(subst,[],[refute_0_1055:[bind(X_64,$fot(complement(X_64)))]]) ).
cnf(refute_0_1057,plain,
( complement(X_64) != join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(complement(complement(X_64)))))))
| complement(complement(X_64)) != X_64
| complement(X_64) = join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_64),join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(complement(complement(X_64)))))))) ),[1,1,1,0,0,0],$fot(X_64)]]) ).
cnf(refute_0_1058,plain,
( complement(X_64) != join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(complement(complement(X_64)))))))
| complement(X_64) = join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_64)),X_64) )],[refute_0_479,refute_0_1057]) ).
cnf(refute_0_1059,plain,
complement(X_64) = join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))),
inference(resolve,[$cnf( $equal(complement(X_64),join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(complement(complement(X_64)))))))) )],[refute_0_1056,refute_0_1058]) ).
cnf(refute_0_1060,plain,
join(zero,meet(complement(X_64),converse(complement(converse(X_64))))) = meet(complement(X_64),converse(complement(converse(X_64)))),
inference(subst,[],[refute_0_641:[bind(X_64,$fot(meet(complement(X_64),converse(complement(converse(X_64))))))]]) ).
cnf(refute_0_1061,plain,
converse(join(converse(top),top)) = converse(join(top,converse(top))),
inference(subst,[],[refute_0_264:[bind(X0,$fot(converse(top))),bind(X1,$fot(top))]]) ).
cnf(refute_0_1062,plain,
join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) = join(complement(X_108),join(complement(X_109),meet(X_108,X_109))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(join(complement(X_109),meet(X_108,X_109)))),bind(X1,$fot(complement(X_108)))]]) ).
cnf(refute_0_1063,plain,
top = join(complement(X_108),join(complement(X_109),meet(X_108,X_109))),
inference(subst,[],[refute_0_517:[bind(X_25,$fot(X_108)),bind(X_26,$fot(X_109))]]) ).
cnf(refute_0_1064,plain,
( top != join(complement(X_108),join(complement(X_109),meet(X_108,X_109)))
| join(complement(X_108),join(complement(X_109),meet(X_108,X_109))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_108),join(complement(X_109),meet(X_108,X_109)))))]]) ).
cnf(refute_0_1065,plain,
join(complement(X_108),join(complement(X_109),meet(X_108,X_109))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_108),join(complement(X_109),meet(X_108,X_109)))) )],[refute_0_1063,refute_0_1064]) ).
cnf(refute_0_1066,plain,
( join(complement(X_108),join(complement(X_109),meet(X_108,X_109))) != top
| join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) != join(complement(X_108),join(complement(X_109),meet(X_108,X_109)))
| join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)),join(complement(X_108),join(complement(X_109),meet(X_108,X_109)))) ),[1],$fot(top)]]) ).
cnf(refute_0_1067,plain,
( join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) != join(complement(X_108),join(complement(X_109),meet(X_108,X_109)))
| join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_108),join(complement(X_109),meet(X_108,X_109))),top) )],[refute_0_1065,refute_0_1066]) ).
cnf(refute_0_1068,plain,
join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)),join(complement(X_108),join(complement(X_109),meet(X_108,X_109)))) )],[refute_0_1062,refute_0_1067]) ).
cnf(refute_0_1069,plain,
join(meet(X_108,X_109),complement(X_108)) = join(complement(X_108),meet(X_108,X_109)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X_108))),bind(X1,$fot(meet(X_108,X_109)))]]) ).
cnf(refute_0_1070,plain,
join(complement(X_109),join(meet(X_108,X_109),complement(X_108))) = join(complement(X_109),join(meet(X_108,X_109),complement(X_108))),
introduced(tautology,[refl,[$fot(join(complement(X_109),join(meet(X_108,X_109),complement(X_108))))]]) ).
cnf(refute_0_1071,plain,
( join(complement(X_109),join(meet(X_108,X_109),complement(X_108))) != join(complement(X_109),join(meet(X_108,X_109),complement(X_108)))
| join(meet(X_108,X_109),complement(X_108)) != join(complement(X_108),meet(X_108,X_109))
| join(complement(X_109),join(meet(X_108,X_109),complement(X_108))) = join(complement(X_109),join(complement(X_108),meet(X_108,X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_109),join(meet(X_108,X_109),complement(X_108))),join(complement(X_109),join(meet(X_108,X_109),complement(X_108)))) ),[1,1],$fot(join(complement(X_108),meet(X_108,X_109)))]]) ).
cnf(refute_0_1072,plain,
( join(meet(X_108,X_109),complement(X_108)) != join(complement(X_108),meet(X_108,X_109))
| join(complement(X_109),join(meet(X_108,X_109),complement(X_108))) = join(complement(X_109),join(complement(X_108),meet(X_108,X_109))) ),
inference(resolve,[$cnf( $equal(join(complement(X_109),join(meet(X_108,X_109),complement(X_108))),join(complement(X_109),join(meet(X_108,X_109),complement(X_108)))) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
join(complement(X_109),join(meet(X_108,X_109),complement(X_108))) = join(complement(X_109),join(complement(X_108),meet(X_108,X_109))),
inference(resolve,[$cnf( $equal(join(meet(X_108,X_109),complement(X_108)),join(complement(X_108),meet(X_108,X_109))) )],[refute_0_1069,refute_0_1072]) ).
cnf(refute_0_1074,plain,
join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) = join(complement(X_109),join(meet(X_108,X_109),complement(X_108))),
inference(subst,[],[refute_0_271:[bind(X0,$fot(complement(X_109))),bind(X1,$fot(meet(X_108,X_109))),bind(X2,$fot(complement(X_108)))]]) ).
cnf(refute_0_1075,plain,
( join(complement(X_109),join(meet(X_108,X_109),complement(X_108))) != join(complement(X_109),join(complement(X_108),meet(X_108,X_109)))
| join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) != join(complement(X_109),join(meet(X_108,X_109),complement(X_108)))
| join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) = join(complement(X_109),join(complement(X_108),meet(X_108,X_109))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)))),bind(Y,$fot(join(complement(X_109),join(meet(X_108,X_109),complement(X_108))))),bind(Z,$fot(join(complement(X_109),join(complement(X_108),meet(X_108,X_109)))))]]) ).
cnf(refute_0_1076,plain,
( join(complement(X_109),join(meet(X_108,X_109),complement(X_108))) != join(complement(X_109),join(complement(X_108),meet(X_108,X_109)))
| join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) = join(complement(X_109),join(complement(X_108),meet(X_108,X_109))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)),join(complement(X_109),join(meet(X_108,X_109),complement(X_108)))) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) = join(complement(X_109),join(complement(X_108),meet(X_108,X_109))),
inference(resolve,[$cnf( $equal(join(complement(X_109),join(meet(X_108,X_109),complement(X_108))),join(complement(X_109),join(complement(X_108),meet(X_108,X_109)))) )],[refute_0_1073,refute_0_1076]) ).
cnf(refute_0_1078,plain,
( join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) != join(complement(X_109),join(complement(X_108),meet(X_108,X_109)))
| join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) != top
| join(complement(X_109),join(complement(X_108),meet(X_108,X_109))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)),top) ),[0],$fot(join(complement(X_109),join(complement(X_108),meet(X_108,X_109))))]]) ).
cnf(refute_0_1079,plain,
( join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)) != top
| join(complement(X_109),join(complement(X_108),meet(X_108,X_109))) = top ),
inference(resolve,[$cnf( $equal(join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)),join(complement(X_109),join(complement(X_108),meet(X_108,X_109)))) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
join(complement(X_109),join(complement(X_108),meet(X_108,X_109))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_109),meet(X_108,X_109)),complement(X_108)),top) )],[refute_0_1068,refute_0_1079]) ).
cnf(refute_0_1081,plain,
join(complement(complement(converse(top))),join(complement(zero),meet(zero,complement(converse(top))))) = top,
inference(subst,[],[refute_0_1080:[bind(X_108,$fot(zero)),bind(X_109,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1082,plain,
zero = join(meet(complement(converse(top)),zero),complement(join(top,complement(converse(top))))),
inference(subst,[],[refute_0_455:[bind(X_92,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1083,plain,
join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top)))))))) = top,
inference(subst,[],[refute_0_1080:[bind(X_108,$fot(converse(top))),bind(X_109,$fot(converse(complement(converse(complement(converse(top)))))))]]) ).
cnf(refute_0_1084,plain,
converse(complement(converse(complement(converse(top))))) = join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(join(converse(top),complement(converse(complement(converse(complement(converse(top))))))))),
inference(subst,[],[refute_0_367:[bind(X_64,$fot(converse(complement(converse(complement(converse(top))))))),bind(X_65,$fot(converse(top)))]]) ).
cnf(refute_0_1085,plain,
converse(top) = join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top))))))),
inference(subst,[],[refute_0_1055:[bind(X_64,$fot(converse(top)))]]) ).
cnf(refute_0_1086,plain,
( converse(top) != join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top)))))))
| join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top))))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top)))))))))]]) ).
cnf(refute_0_1087,plain,
join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top))))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top)))))))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
( join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top)))))))) != top
| join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top))))))) != converse(top)
| join(complement(converse(complement(converse(complement(converse(top)))))),converse(top)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top)))))))),top) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_1089,plain,
( join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top)))))))) != top
| join(complement(converse(complement(converse(complement(converse(top)))))),converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top))))))),converse(top)) )],[refute_0_1087,refute_0_1088]) ).
cnf(refute_0_1090,plain,
join(complement(converse(complement(converse(complement(converse(top)))))),converse(top)) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top)))))))),top) )],[refute_0_1083,refute_0_1089]) ).
cnf(refute_0_1091,plain,
converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))) = join(X0,converse(join(top,complement(join(top,join(top,complement(zero))))))),
inference(subst,[],[refute_0_96:[bind(X_5,$fot(join(top,complement(join(top,join(top,complement(zero)))))))]]) ).
cnf(refute_0_1092,plain,
converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) = converse(join(zero,join(complement(zero),complement(join(top,join(top,complement(zero))))))),
inference(subst,[],[refute_0_291:[bind(X1,$fot(complement(join(top,join(top,complement(zero)))))),bind(X_10,$fot(complement(zero))),bind(X_11,$fot(zero))]]) ).
cnf(refute_0_1093,plain,
top = join(join(zero,complement(X_29)),complement(join(zero,complement(X_29)))),
inference(subst,[],[refute_0_197:[bind(X0,$fot(join(zero,complement(X_29))))]]) ).
cnf(refute_0_1094,plain,
( complement(join(zero,complement(X_29))) != meet(top,X_29)
| top != join(join(zero,complement(X_29)),complement(join(zero,complement(X_29))))
| top = join(join(zero,complement(X_29)),meet(top,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,complement(X_29)),complement(join(zero,complement(X_29))))) ),[1,1],$fot(meet(top,X_29))]]) ).
cnf(refute_0_1095,plain,
( top != join(join(zero,complement(X_29)),complement(join(zero,complement(X_29))))
| top = join(join(zero,complement(X_29)),meet(top,X_29)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_29))),meet(top,X_29)) )],[refute_0_223,refute_0_1094]) ).
cnf(refute_0_1096,plain,
top = join(join(zero,complement(X_29)),meet(top,X_29)),
inference(resolve,[$cnf( $equal(top,join(join(zero,complement(X_29)),complement(join(zero,complement(X_29))))) )],[refute_0_1093,refute_0_1095]) ).
cnf(refute_0_1097,plain,
join(join(zero,complement(X_29)),meet(top,X_29)) = join(zero,join(complement(X_29),meet(top,X_29))),
inference(subst,[],[refute_0_271:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X_29))),bind(X2,$fot(meet(top,X_29)))]]) ).
cnf(refute_0_1098,plain,
( join(join(zero,complement(X_29)),meet(top,X_29)) != join(zero,join(complement(X_29),meet(top,X_29)))
| top != join(join(zero,complement(X_29)),meet(top,X_29))
| top = join(zero,join(complement(X_29),meet(top,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,complement(X_29)),meet(top,X_29))) ),[1],$fot(join(zero,join(complement(X_29),meet(top,X_29))))]]) ).
cnf(refute_0_1099,plain,
( top != join(join(zero,complement(X_29)),meet(top,X_29))
| top = join(zero,join(complement(X_29),meet(top,X_29))) ),
inference(resolve,[$cnf( $equal(join(join(zero,complement(X_29)),meet(top,X_29)),join(zero,join(complement(X_29),meet(top,X_29)))) )],[refute_0_1097,refute_0_1098]) ).
cnf(refute_0_1100,plain,
top = join(zero,join(complement(X_29),meet(top,X_29))),
inference(resolve,[$cnf( $equal(top,join(join(zero,complement(X_29)),meet(top,X_29))) )],[refute_0_1096,refute_0_1099]) ).
cnf(refute_0_1101,plain,
top = join(zero,join(complement(join(top,join(top,complement(zero)))),meet(top,join(top,join(top,complement(zero)))))),
inference(subst,[],[refute_0_1100:[bind(X_29,$fot(join(top,join(top,complement(zero)))))]]) ).
cnf(refute_0_1102,plain,
meet(top,join(top,join(top,complement(zero)))) = complement(join(zero,complement(join(top,join(top,complement(zero)))))),
inference(subst,[],[refute_0_220:[bind(X1,$fot(join(top,join(top,complement(zero)))))]]) ).
cnf(refute_0_1103,plain,
zero = join(meet(zero,join(top,top)),complement(join(complement(zero),join(top,top)))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(zero)),bind(X1,$fot(join(top,top)))]]) ).
cnf(refute_0_1104,plain,
meet(zero,join(top,top)) = complement(join(complement(zero),complement(join(top,top)))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(zero)),bind(X1,$fot(join(top,top)))]]) ).
cnf(refute_0_1105,plain,
top = join(meet(top,join(top,top)),complement(join(complement(top),join(top,top)))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(top)),bind(X1,$fot(join(top,top)))]]) ).
cnf(refute_0_1106,plain,
meet(top,join(top,top)) = complement(join(zero,complement(join(top,top)))),
inference(subst,[],[refute_0_220:[bind(X1,$fot(join(top,top)))]]) ).
cnf(refute_0_1107,plain,
join(zero,composition(converse(join(one,one)),complement(composition(join(one,one),top)))) = zero,
inference(subst,[],[refute_0_716:[bind(X0,$fot(join(one,one)))]]) ).
cnf(refute_0_1108,plain,
( converse(join(one,one)) != join(one,one)
| join(zero,composition(converse(join(one,one)),complement(composition(join(one,one),top)))) != zero
| join(zero,composition(join(one,one),complement(composition(join(one,one),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(join(one,one)),complement(composition(join(one,one),top)))),zero) ),[0,1,0],$fot(join(one,one))]]) ).
cnf(refute_0_1109,plain,
( join(zero,composition(converse(join(one,one)),complement(composition(join(one,one),top)))) != zero
| join(zero,composition(join(one,one),complement(composition(join(one,one),top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_110,refute_0_1108]) ).
cnf(refute_0_1110,plain,
join(zero,composition(join(one,one),complement(composition(join(one,one),top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(join(one,one)),complement(composition(join(one,one),top)))),zero) )],[refute_0_1107,refute_0_1109]) ).
cnf(refute_0_1111,plain,
composition(join(one,one),top) = join(top,top),
inference(subst,[],[refute_0_83:[bind(X_51,$fot(top))]]) ).
cnf(refute_0_1112,plain,
complement(composition(join(one,one),top)) = complement(composition(join(one,one),top)),
introduced(tautology,[refl,[$fot(complement(composition(join(one,one),top)))]]) ).
cnf(refute_0_1113,plain,
( complement(composition(join(one,one),top)) != complement(composition(join(one,one),top))
| composition(join(one,one),top) != join(top,top)
| complement(composition(join(one,one),top)) = complement(join(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(join(one,one),top)),complement(composition(join(one,one),top))) ),[1,0],$fot(join(top,top))]]) ).
cnf(refute_0_1114,plain,
( composition(join(one,one),top) != join(top,top)
| complement(composition(join(one,one),top)) = complement(join(top,top)) ),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),top)),complement(composition(join(one,one),top))) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
complement(composition(join(one,one),top)) = complement(join(top,top)),
inference(resolve,[$cnf( $equal(composition(join(one,one),top),join(top,top)) )],[refute_0_1111,refute_0_1114]) ).
cnf(refute_0_1116,plain,
composition(join(one,one),complement(composition(join(one,one),top))) = composition(join(one,one),complement(composition(join(one,one),top))),
introduced(tautology,[refl,[$fot(composition(join(one,one),complement(composition(join(one,one),top))))]]) ).
cnf(refute_0_1117,plain,
( complement(composition(join(one,one),top)) != complement(join(top,top))
| composition(join(one,one),complement(composition(join(one,one),top))) != composition(join(one,one),complement(composition(join(one,one),top)))
| composition(join(one,one),complement(composition(join(one,one),top))) = composition(join(one,one),complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),complement(composition(join(one,one),top))),composition(join(one,one),complement(composition(join(one,one),top)))) ),[1,1],$fot(complement(join(top,top)))]]) ).
cnf(refute_0_1118,plain,
( complement(composition(join(one,one),top)) != complement(join(top,top))
| composition(join(one,one),complement(composition(join(one,one),top))) = composition(join(one,one),complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(composition(join(one,one),top))),composition(join(one,one),complement(composition(join(one,one),top)))) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
composition(join(one,one),complement(composition(join(one,one),top))) = composition(join(one,one),complement(join(top,top))),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),top)),complement(join(top,top))) )],[refute_0_1115,refute_0_1118]) ).
cnf(refute_0_1120,plain,
join(zero,composition(join(one,one),complement(composition(join(one,one),top)))) = join(zero,composition(join(one,one),complement(composition(join(one,one),top)))),
introduced(tautology,[refl,[$fot(join(zero,composition(join(one,one),complement(composition(join(one,one),top)))))]]) ).
cnf(refute_0_1121,plain,
( composition(join(one,one),complement(composition(join(one,one),top))) != composition(join(one,one),complement(join(top,top)))
| join(zero,composition(join(one,one),complement(composition(join(one,one),top)))) != join(zero,composition(join(one,one),complement(composition(join(one,one),top))))
| join(zero,composition(join(one,one),complement(composition(join(one,one),top)))) = join(zero,composition(join(one,one),complement(join(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(join(one,one),complement(composition(join(one,one),top)))),join(zero,composition(join(one,one),complement(composition(join(one,one),top))))) ),[1,1],$fot(composition(join(one,one),complement(join(top,top))))]]) ).
cnf(refute_0_1122,plain,
( composition(join(one,one),complement(composition(join(one,one),top))) != composition(join(one,one),complement(join(top,top)))
| join(zero,composition(join(one,one),complement(composition(join(one,one),top)))) = join(zero,composition(join(one,one),complement(join(top,top)))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(join(one,one),complement(composition(join(one,one),top)))),join(zero,composition(join(one,one),complement(composition(join(one,one),top))))) )],[refute_0_1120,refute_0_1121]) ).
cnf(refute_0_1123,plain,
join(zero,composition(join(one,one),complement(composition(join(one,one),top)))) = join(zero,composition(join(one,one),complement(join(top,top)))),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(composition(join(one,one),top))),composition(join(one,one),complement(join(top,top)))) )],[refute_0_1119,refute_0_1122]) ).
cnf(refute_0_1124,plain,
( join(zero,composition(join(one,one),complement(composition(join(one,one),top)))) != join(zero,composition(join(one,one),complement(join(top,top))))
| join(zero,composition(join(one,one),complement(composition(join(one,one),top)))) != zero
| join(zero,composition(join(one,one),complement(join(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(join(one,one),complement(composition(join(one,one),top)))),zero) ),[0],$fot(join(zero,composition(join(one,one),complement(join(top,top)))))]]) ).
cnf(refute_0_1125,plain,
( join(zero,composition(join(one,one),complement(composition(join(one,one),top)))) != zero
| join(zero,composition(join(one,one),complement(join(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(join(one,one),complement(composition(join(one,one),top)))),join(zero,composition(join(one,one),complement(join(top,top))))) )],[refute_0_1123,refute_0_1124]) ).
cnf(refute_0_1126,plain,
join(zero,composition(join(one,one),complement(join(top,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(join(one,one),complement(composition(join(one,one),top)))),zero) )],[refute_0_1110,refute_0_1125]) ).
cnf(refute_0_1127,plain,
composition(join(one,one),complement(X_59)) = join(complement(X_59),complement(X_59)),
inference(subst,[],[refute_0_83:[bind(X_51,$fot(complement(X_59)))]]) ).
cnf(refute_0_1128,plain,
( composition(join(one,one),complement(X_59)) != join(complement(X_59),complement(X_59))
| join(complement(X_59),complement(X_59)) != complement(X_59)
| composition(join(one,one),complement(X_59)) = complement(X_59) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,one),complement(X_59)),complement(X_59)) ),[0],$fot(join(complement(X_59),complement(X_59)))]]) ).
cnf(refute_0_1129,plain,
( composition(join(one,one),complement(X_59)) != join(complement(X_59),complement(X_59))
| composition(join(one,one),complement(X_59)) = complement(X_59) ),
inference(resolve,[$cnf( $equal(join(complement(X_59),complement(X_59)),complement(X_59)) )],[refute_0_158,refute_0_1128]) ).
cnf(refute_0_1130,plain,
composition(join(one,one),complement(X_59)) = complement(X_59),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X_59)),join(complement(X_59),complement(X_59))) )],[refute_0_1127,refute_0_1129]) ).
cnf(refute_0_1131,plain,
composition(join(one,one),complement(join(top,top))) = complement(join(top,top)),
inference(subst,[],[refute_0_1130:[bind(X_59,$fot(join(top,top)))]]) ).
cnf(refute_0_1132,plain,
join(zero,composition(join(one,one),complement(join(top,top)))) = join(zero,composition(join(one,one),complement(join(top,top)))),
introduced(tautology,[refl,[$fot(join(zero,composition(join(one,one),complement(join(top,top)))))]]) ).
cnf(refute_0_1133,plain,
( composition(join(one,one),complement(join(top,top))) != complement(join(top,top))
| join(zero,composition(join(one,one),complement(join(top,top)))) != join(zero,composition(join(one,one),complement(join(top,top))))
| join(zero,composition(join(one,one),complement(join(top,top)))) = join(zero,complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(join(one,one),complement(join(top,top)))),join(zero,composition(join(one,one),complement(join(top,top))))) ),[1,1],$fot(complement(join(top,top)))]]) ).
cnf(refute_0_1134,plain,
( composition(join(one,one),complement(join(top,top))) != complement(join(top,top))
| join(zero,composition(join(one,one),complement(join(top,top)))) = join(zero,complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(join(one,one),complement(join(top,top)))),join(zero,composition(join(one,one),complement(join(top,top))))) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
join(zero,composition(join(one,one),complement(join(top,top)))) = join(zero,complement(join(top,top))),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(join(top,top))),complement(join(top,top))) )],[refute_0_1131,refute_0_1134]) ).
cnf(refute_0_1136,plain,
( join(zero,composition(join(one,one),complement(join(top,top)))) != join(zero,complement(join(top,top)))
| join(zero,composition(join(one,one),complement(join(top,top)))) != zero
| join(zero,complement(join(top,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(join(one,one),complement(join(top,top)))),zero) ),[0],$fot(join(zero,complement(join(top,top))))]]) ).
cnf(refute_0_1137,plain,
( join(zero,composition(join(one,one),complement(join(top,top)))) != zero
| join(zero,complement(join(top,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(join(one,one),complement(join(top,top)))),join(zero,complement(join(top,top)))) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
join(zero,complement(join(top,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(join(one,one),complement(join(top,top)))),zero) )],[refute_0_1126,refute_0_1137]) ).
cnf(refute_0_1139,plain,
( join(zero,complement(join(top,top))) != zero
| meet(top,join(top,top)) != complement(join(zero,complement(join(top,top))))
| meet(top,join(top,top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,top)),complement(join(zero,complement(join(top,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1140,plain,
( meet(top,join(top,top)) != complement(join(zero,complement(join(top,top))))
| meet(top,join(top,top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,top))),zero) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
meet(top,join(top,top)) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),complement(join(zero,complement(join(top,top))))) )],[refute_0_1106,refute_0_1140]) ).
cnf(refute_0_1142,plain,
( meet(top,join(top,top)) != complement(zero)
| top != join(meet(top,join(top,top)),complement(join(complement(top),join(top,top))))
| top = join(complement(zero),complement(join(complement(top),join(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(top,top)),complement(join(complement(top),join(top,top))))) ),[1,0],$fot(complement(zero))]]) ).
cnf(refute_0_1143,plain,
( top != join(meet(top,join(top,top)),complement(join(complement(top),join(top,top))))
| top = join(complement(zero),complement(join(complement(top),join(top,top)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),complement(zero)) )],[refute_0_1141,refute_0_1142]) ).
cnf(refute_0_1144,plain,
top = join(complement(zero),complement(join(complement(top),join(top,top)))),
inference(resolve,[$cnf( $equal(top,join(meet(top,join(top,top)),complement(join(complement(top),join(top,top))))) )],[refute_0_1105,refute_0_1143]) ).
cnf(refute_0_1145,plain,
join(top,complement(top)) = top,
inference(subst,[],[refute_0_199:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1146,plain,
join(complement(top),top) = join(top,complement(top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(complement(top)))]]) ).
cnf(refute_0_1147,plain,
( join(complement(top),top) != join(top,complement(top))
| join(top,complement(top)) != top
| join(complement(top),top) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),top))),bind(Y,$fot(join(top,complement(top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1148,plain,
( join(top,complement(top)) != top
| join(complement(top),top) = top ),
inference(resolve,[$cnf( $equal(join(complement(top),top),join(top,complement(top))) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
join(complement(top),top) = top,
inference(resolve,[$cnf( $equal(join(top,complement(top)),top) )],[refute_0_1145,refute_0_1148]) ).
cnf(refute_0_1150,plain,
join(top,join(complement(top),top)) = join(top,join(complement(top),top)),
introduced(tautology,[refl,[$fot(join(top,join(complement(top),top)))]]) ).
cnf(refute_0_1151,plain,
( join(complement(top),top) != top
| join(top,join(complement(top),top)) != join(top,join(complement(top),top))
| join(top,join(complement(top),top)) = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(top),top)),join(top,join(complement(top),top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1152,plain,
( join(complement(top),top) != top
| join(top,join(complement(top),top)) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(top),top)),join(top,join(complement(top),top))) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
join(top,join(complement(top),top)) = join(top,top),
inference(resolve,[$cnf( $equal(join(complement(top),top),top) )],[refute_0_1149,refute_0_1152]) ).
cnf(refute_0_1154,plain,
join(complement(top),join(top,top)) = join(top,join(complement(top),top)),
inference(subst,[],[refute_0_301:[bind(X_41,$fot(top)),bind(X_42,$fot(complement(top))),bind(X_43,$fot(top))]]) ).
cnf(refute_0_1155,plain,
( join(complement(top),join(top,top)) != join(top,join(complement(top),top))
| join(top,join(complement(top),top)) != join(top,top)
| join(complement(top),join(top,top)) = join(top,top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),join(top,top)))),bind(Y,$fot(join(top,join(complement(top),top)))),bind(Z,$fot(join(top,top)))]]) ).
cnf(refute_0_1156,plain,
( join(top,join(complement(top),top)) != join(top,top)
| join(complement(top),join(top,top)) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(complement(top),join(top,top)),join(top,join(complement(top),top))) )],[refute_0_1154,refute_0_1155]) ).
cnf(refute_0_1157,plain,
join(complement(top),join(top,top)) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,join(complement(top),top)),join(top,top)) )],[refute_0_1153,refute_0_1156]) ).
cnf(refute_0_1158,plain,
complement(join(complement(top),join(top,top))) = complement(join(complement(top),join(top,top))),
introduced(tautology,[refl,[$fot(complement(join(complement(top),join(top,top))))]]) ).
cnf(refute_0_1159,plain,
( complement(join(complement(top),join(top,top))) != complement(join(complement(top),join(top,top)))
| join(complement(top),join(top,top)) != join(top,top)
| complement(join(complement(top),join(top,top))) = complement(join(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(top),join(top,top))),complement(join(complement(top),join(top,top)))) ),[1,0],$fot(join(top,top))]]) ).
cnf(refute_0_1160,plain,
( join(complement(top),join(top,top)) != join(top,top)
| complement(join(complement(top),join(top,top))) = complement(join(top,top)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(top),join(top,top))),complement(join(complement(top),join(top,top)))) )],[refute_0_1158,refute_0_1159]) ).
cnf(refute_0_1161,plain,
complement(join(complement(top),join(top,top))) = complement(join(top,top)),
inference(resolve,[$cnf( $equal(join(complement(top),join(top,top)),join(top,top)) )],[refute_0_1157,refute_0_1160]) ).
cnf(refute_0_1162,plain,
join(complement(zero),complement(join(complement(top),join(top,top)))) = join(complement(zero),complement(join(complement(top),join(top,top)))),
introduced(tautology,[refl,[$fot(join(complement(zero),complement(join(complement(top),join(top,top)))))]]) ).
cnf(refute_0_1163,plain,
( complement(join(complement(top),join(top,top))) != complement(join(top,top))
| join(complement(zero),complement(join(complement(top),join(top,top)))) != join(complement(zero),complement(join(complement(top),join(top,top))))
| join(complement(zero),complement(join(complement(top),join(top,top)))) = join(complement(zero),complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),complement(join(complement(top),join(top,top)))),join(complement(zero),complement(join(complement(top),join(top,top))))) ),[1,1],$fot(complement(join(top,top)))]]) ).
cnf(refute_0_1164,plain,
( complement(join(complement(top),join(top,top))) != complement(join(top,top))
| join(complement(zero),complement(join(complement(top),join(top,top)))) = join(complement(zero),complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(complement(top),join(top,top)))),join(complement(zero),complement(join(complement(top),join(top,top))))) )],[refute_0_1162,refute_0_1163]) ).
cnf(refute_0_1165,plain,
join(complement(zero),complement(join(complement(top),join(top,top)))) = join(complement(zero),complement(join(top,top))),
inference(resolve,[$cnf( $equal(complement(join(complement(top),join(top,top))),complement(join(top,top))) )],[refute_0_1161,refute_0_1164]) ).
cnf(refute_0_1166,plain,
( join(complement(zero),complement(join(complement(top),join(top,top)))) != join(complement(zero),complement(join(top,top)))
| top != join(complement(zero),complement(join(complement(top),join(top,top))))
| top = join(complement(zero),complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(zero),complement(join(complement(top),join(top,top))))) ),[1],$fot(join(complement(zero),complement(join(top,top))))]]) ).
cnf(refute_0_1167,plain,
( top != join(complement(zero),complement(join(complement(top),join(top,top))))
| top = join(complement(zero),complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(complement(top),join(top,top)))),join(complement(zero),complement(join(top,top)))) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
top = join(complement(zero),complement(join(top,top))),
inference(resolve,[$cnf( $equal(top,join(complement(zero),complement(join(complement(top),join(top,top))))) )],[refute_0_1144,refute_0_1167]) ).
cnf(refute_0_1169,plain,
( top != join(complement(zero),complement(join(top,top)))
| join(complement(zero),complement(join(top,top))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(zero),complement(join(top,top)))))]]) ).
cnf(refute_0_1170,plain,
join(complement(zero),complement(join(top,top))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(zero),complement(join(top,top)))) )],[refute_0_1168,refute_0_1169]) ).
cnf(refute_0_1171,plain,
( join(complement(zero),complement(join(top,top))) != top
| meet(zero,join(top,top)) != complement(join(complement(zero),complement(join(top,top))))
| meet(zero,join(top,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,join(top,top)),complement(join(complement(zero),complement(join(top,top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1172,plain,
( meet(zero,join(top,top)) != complement(join(complement(zero),complement(join(top,top))))
| meet(zero,join(top,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(top,top))),top) )],[refute_0_1170,refute_0_1171]) ).
cnf(refute_0_1173,plain,
meet(zero,join(top,top)) = complement(top),
inference(resolve,[$cnf( $equal(meet(zero,join(top,top)),complement(join(complement(zero),complement(join(top,top))))) )],[refute_0_1104,refute_0_1172]) ).
cnf(refute_0_1174,plain,
( complement(top) != zero
| meet(zero,join(top,top)) != complement(top)
| meet(zero,join(top,top)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,join(top,top)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1175,plain,
( meet(zero,join(top,top)) != complement(top)
| meet(zero,join(top,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_1174]) ).
cnf(refute_0_1176,plain,
meet(zero,join(top,top)) = zero,
inference(resolve,[$cnf( $equal(meet(zero,join(top,top)),complement(top)) )],[refute_0_1173,refute_0_1175]) ).
cnf(refute_0_1177,plain,
( meet(zero,join(top,top)) != zero
| zero != join(meet(zero,join(top,top)),complement(join(complement(zero),join(top,top))))
| zero = join(zero,complement(join(complement(zero),join(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,join(top,top)),complement(join(complement(zero),join(top,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1178,plain,
( zero != join(meet(zero,join(top,top)),complement(join(complement(zero),join(top,top))))
| zero = join(zero,complement(join(complement(zero),join(top,top)))) ),
inference(resolve,[$cnf( $equal(meet(zero,join(top,top)),zero) )],[refute_0_1176,refute_0_1177]) ).
cnf(refute_0_1179,plain,
zero = join(zero,complement(join(complement(zero),join(top,top)))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,join(top,top)),complement(join(complement(zero),join(top,top))))) )],[refute_0_1103,refute_0_1178]) ).
cnf(refute_0_1180,plain,
join(complement(zero),top) = join(top,complement(zero)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(complement(zero)))]]) ).
cnf(refute_0_1181,plain,
join(top,join(complement(zero),top)) = join(top,join(complement(zero),top)),
introduced(tautology,[refl,[$fot(join(top,join(complement(zero),top)))]]) ).
cnf(refute_0_1182,plain,
( join(complement(zero),top) != join(top,complement(zero))
| join(top,join(complement(zero),top)) != join(top,join(complement(zero),top))
| join(top,join(complement(zero),top)) = join(top,join(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(zero),top)),join(top,join(complement(zero),top))) ),[1,1],$fot(join(top,complement(zero)))]]) ).
cnf(refute_0_1183,plain,
( join(complement(zero),top) != join(top,complement(zero))
| join(top,join(complement(zero),top)) = join(top,join(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(zero),top)),join(top,join(complement(zero),top))) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
join(top,join(complement(zero),top)) = join(top,join(top,complement(zero))),
inference(resolve,[$cnf( $equal(join(complement(zero),top),join(top,complement(zero))) )],[refute_0_1180,refute_0_1183]) ).
cnf(refute_0_1185,plain,
join(complement(zero),join(top,top)) = join(top,join(complement(zero),top)),
inference(subst,[],[refute_0_301:[bind(X_41,$fot(top)),bind(X_42,$fot(complement(zero))),bind(X_43,$fot(top))]]) ).
cnf(refute_0_1186,plain,
( join(complement(zero),join(top,top)) != join(top,join(complement(zero),top))
| join(top,join(complement(zero),top)) != join(top,join(top,complement(zero)))
| join(complement(zero),join(top,top)) = join(top,join(top,complement(zero))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(zero),join(top,top)))),bind(Y,$fot(join(top,join(complement(zero),top)))),bind(Z,$fot(join(top,join(top,complement(zero)))))]]) ).
cnf(refute_0_1187,plain,
( join(top,join(complement(zero),top)) != join(top,join(top,complement(zero)))
| join(complement(zero),join(top,top)) = join(top,join(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),join(top,top)),join(top,join(complement(zero),top))) )],[refute_0_1185,refute_0_1186]) ).
cnf(refute_0_1188,plain,
join(complement(zero),join(top,top)) = join(top,join(top,complement(zero))),
inference(resolve,[$cnf( $equal(join(top,join(complement(zero),top)),join(top,join(top,complement(zero)))) )],[refute_0_1184,refute_0_1187]) ).
cnf(refute_0_1189,plain,
complement(join(complement(zero),join(top,top))) = complement(join(complement(zero),join(top,top))),
introduced(tautology,[refl,[$fot(complement(join(complement(zero),join(top,top))))]]) ).
cnf(refute_0_1190,plain,
( complement(join(complement(zero),join(top,top))) != complement(join(complement(zero),join(top,top)))
| join(complement(zero),join(top,top)) != join(top,join(top,complement(zero)))
| complement(join(complement(zero),join(top,top))) = complement(join(top,join(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(zero),join(top,top))),complement(join(complement(zero),join(top,top)))) ),[1,0],$fot(join(top,join(top,complement(zero))))]]) ).
cnf(refute_0_1191,plain,
( join(complement(zero),join(top,top)) != join(top,join(top,complement(zero)))
| complement(join(complement(zero),join(top,top))) = complement(join(top,join(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(zero),join(top,top))),complement(join(complement(zero),join(top,top)))) )],[refute_0_1189,refute_0_1190]) ).
cnf(refute_0_1192,plain,
complement(join(complement(zero),join(top,top))) = complement(join(top,join(top,complement(zero)))),
inference(resolve,[$cnf( $equal(join(complement(zero),join(top,top)),join(top,join(top,complement(zero)))) )],[refute_0_1188,refute_0_1191]) ).
cnf(refute_0_1193,plain,
join(zero,complement(join(complement(zero),join(top,top)))) = join(zero,complement(join(complement(zero),join(top,top)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(zero),join(top,top)))))]]) ).
cnf(refute_0_1194,plain,
( complement(join(complement(zero),join(top,top))) != complement(join(top,join(top,complement(zero))))
| join(zero,complement(join(complement(zero),join(top,top)))) != join(zero,complement(join(complement(zero),join(top,top))))
| join(zero,complement(join(complement(zero),join(top,top)))) = join(zero,complement(join(top,join(top,complement(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(zero),join(top,top)))),join(zero,complement(join(complement(zero),join(top,top))))) ),[1,1],$fot(complement(join(top,join(top,complement(zero)))))]]) ).
cnf(refute_0_1195,plain,
( complement(join(complement(zero),join(top,top))) != complement(join(top,join(top,complement(zero))))
| join(zero,complement(join(complement(zero),join(top,top)))) = join(zero,complement(join(top,join(top,complement(zero))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(zero),join(top,top)))),join(zero,complement(join(complement(zero),join(top,top))))) )],[refute_0_1193,refute_0_1194]) ).
cnf(refute_0_1196,plain,
join(zero,complement(join(complement(zero),join(top,top)))) = join(zero,complement(join(top,join(top,complement(zero))))),
inference(resolve,[$cnf( $equal(complement(join(complement(zero),join(top,top))),complement(join(top,join(top,complement(zero))))) )],[refute_0_1192,refute_0_1195]) ).
cnf(refute_0_1197,plain,
( join(zero,complement(join(complement(zero),join(top,top)))) != join(zero,complement(join(top,join(top,complement(zero)))))
| zero != join(zero,complement(join(complement(zero),join(top,top))))
| zero = join(zero,complement(join(top,join(top,complement(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(complement(zero),join(top,top))))) ),[1],$fot(join(zero,complement(join(top,join(top,complement(zero))))))]]) ).
cnf(refute_0_1198,plain,
( zero != join(zero,complement(join(complement(zero),join(top,top))))
| zero = join(zero,complement(join(top,join(top,complement(zero))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(zero),join(top,top)))),join(zero,complement(join(top,join(top,complement(zero)))))) )],[refute_0_1196,refute_0_1197]) ).
cnf(refute_0_1199,plain,
zero = join(zero,complement(join(top,join(top,complement(zero))))),
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(complement(zero),join(top,top))))) )],[refute_0_1179,refute_0_1198]) ).
cnf(refute_0_1200,plain,
( zero != join(zero,complement(join(top,join(top,complement(zero)))))
| join(zero,complement(join(top,join(top,complement(zero))))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,complement(join(top,join(top,complement(zero)))))))]]) ).
cnf(refute_0_1201,plain,
join(zero,complement(join(top,join(top,complement(zero))))) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,join(top,complement(zero)))))) )],[refute_0_1199,refute_0_1200]) ).
cnf(refute_0_1202,plain,
( join(zero,complement(join(top,join(top,complement(zero))))) != zero
| meet(top,join(top,join(top,complement(zero)))) != complement(join(zero,complement(join(top,join(top,complement(zero))))))
| meet(top,join(top,join(top,complement(zero)))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,join(top,complement(zero)))),complement(join(zero,complement(join(top,join(top,complement(zero))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1203,plain,
( meet(top,join(top,join(top,complement(zero)))) != complement(join(zero,complement(join(top,join(top,complement(zero))))))
| meet(top,join(top,join(top,complement(zero)))) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,join(top,complement(zero))))),zero) )],[refute_0_1201,refute_0_1202]) ).
cnf(refute_0_1204,plain,
meet(top,join(top,join(top,complement(zero)))) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,join(top,join(top,complement(zero)))),complement(join(zero,complement(join(top,join(top,complement(zero))))))) )],[refute_0_1102,refute_0_1203]) ).
cnf(refute_0_1205,plain,
( meet(top,join(top,join(top,complement(zero)))) != complement(zero)
| top != join(zero,join(complement(join(top,join(top,complement(zero)))),meet(top,join(top,join(top,complement(zero))))))
| top = join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(complement(join(top,join(top,complement(zero)))),meet(top,join(top,join(top,complement(zero))))))) ),[1,1,1],$fot(complement(zero))]]) ).
cnf(refute_0_1206,plain,
( top != join(zero,join(complement(join(top,join(top,complement(zero)))),meet(top,join(top,join(top,complement(zero))))))
| top = join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))) ),
inference(resolve,[$cnf( $equal(meet(top,join(top,join(top,complement(zero)))),complement(zero)) )],[refute_0_1204,refute_0_1205]) ).
cnf(refute_0_1207,plain,
top = join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,join(complement(join(top,join(top,complement(zero)))),meet(top,join(top,join(top,complement(zero))))))) )],[refute_0_1101,refute_0_1206]) ).
cnf(refute_0_1208,plain,
join(complement(join(top,join(top,complement(zero)))),complement(zero)) = join(complement(zero),complement(join(top,join(top,complement(zero))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(zero))),bind(X1,$fot(complement(join(top,join(top,complement(zero))))))]]) ).
cnf(refute_0_1209,plain,
join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))) = join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))))]]) ).
cnf(refute_0_1210,plain,
( join(complement(join(top,join(top,complement(zero)))),complement(zero)) != join(complement(zero),complement(join(top,join(top,complement(zero)))))
| join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))) != join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))
| join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))) = join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))),join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))) ),[1,1],$fot(join(complement(zero),complement(join(top,join(top,complement(zero))))))]]) ).
cnf(refute_0_1211,plain,
( join(complement(join(top,join(top,complement(zero)))),complement(zero)) != join(complement(zero),complement(join(top,join(top,complement(zero)))))
| join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))) = join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))),join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))) = join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))),
inference(resolve,[$cnf( $equal(join(complement(join(top,join(top,complement(zero)))),complement(zero)),join(complement(zero),complement(join(top,join(top,complement(zero)))))) )],[refute_0_1208,refute_0_1211]) ).
cnf(refute_0_1213,plain,
( join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))) != join(zero,join(complement(zero),complement(join(top,join(top,complement(zero))))))
| top != join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))
| top = join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))) ),[1],$fot(join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))))]]) ).
cnf(refute_0_1214,plain,
( top != join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))
| top = join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))),join(zero,join(complement(zero),complement(join(top,join(top,complement(zero))))))) )],[refute_0_1212,refute_0_1213]) ).
cnf(refute_0_1215,plain,
top = join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))),
inference(resolve,[$cnf( $equal(top,join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))) )],[refute_0_1207,refute_0_1214]) ).
cnf(refute_0_1216,plain,
( top != join(zero,join(complement(zero),complement(join(top,join(top,complement(zero))))))
| join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(complement(zero),complement(join(top,join(top,complement(zero))))))))]]) ).
cnf(refute_0_1217,plain,
join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,join(complement(zero),complement(join(top,join(top,complement(zero))))))) )],[refute_0_1215,refute_0_1216]) ).
cnf(refute_0_1218,plain,
( converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) != converse(join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))))
| join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))) != top
| converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))),converse(join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1219,plain,
( converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) != converse(join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))))
| converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))),top) )],[refute_0_1217,refute_0_1218]) ).
cnf(refute_0_1220,plain,
converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))),converse(join(zero,join(complement(zero),complement(join(top,join(top,complement(zero)))))))) )],[refute_0_1092,refute_0_1219]) ).
cnf(refute_0_1221,plain,
( converse(join(X0,X1)) != converse(join(X1,X0))
| converse(join(X1,X0)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(converse(join(X1,X0))))]]) ).
cnf(refute_0_1222,plain,
converse(join(X1,X0)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),converse(join(X1,X0))) )],[refute_0_264,refute_0_1221]) ).
cnf(refute_0_1223,plain,
converse(join(complement(join(top,join(top,complement(zero)))),top)) = converse(join(top,complement(join(top,join(top,complement(zero)))))),
inference(subst,[],[refute_0_1222:[bind(X0,$fot(top)),bind(X1,$fot(complement(join(top,join(top,complement(zero))))))]]) ).
cnf(refute_0_1224,plain,
converse(join(X_42,join(X_43,complement(X_43)))) = converse(join(X_43,join(X_42,complement(X_43)))),
inference(subst,[],[refute_0_291:[bind(X1,$fot(complement(X_43))),bind(X_10,$fot(X_42)),bind(X_11,$fot(X_43))]]) ).
cnf(refute_0_1225,plain,
top = join(X_43,complement(X_43)),
inference(subst,[],[refute_0_197:[bind(X0,$fot(X_43))]]) ).
cnf(refute_0_1226,plain,
( top != join(X_43,complement(X_43))
| join(X_43,complement(X_43)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_43,complement(X_43))))]]) ).
cnf(refute_0_1227,plain,
join(X_43,complement(X_43)) = top,
inference(resolve,[$cnf( $equal(top,join(X_43,complement(X_43))) )],[refute_0_1225,refute_0_1226]) ).
cnf(refute_0_1228,plain,
( converse(join(X_42,join(X_43,complement(X_43)))) != converse(join(X_43,join(X_42,complement(X_43))))
| join(X_43,complement(X_43)) != top
| converse(join(X_42,top)) = converse(join(X_43,join(X_42,complement(X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_42,join(X_43,complement(X_43)))),converse(join(X_43,join(X_42,complement(X_43))))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_1229,plain,
( converse(join(X_42,join(X_43,complement(X_43)))) != converse(join(X_43,join(X_42,complement(X_43))))
| converse(join(X_42,top)) = converse(join(X_43,join(X_42,complement(X_43)))) ),
inference(resolve,[$cnf( $equal(join(X_43,complement(X_43)),top) )],[refute_0_1227,refute_0_1228]) ).
cnf(refute_0_1230,plain,
converse(join(X_42,top)) = converse(join(X_43,join(X_42,complement(X_43)))),
inference(resolve,[$cnf( $equal(converse(join(X_42,join(X_43,complement(X_43)))),converse(join(X_43,join(X_42,complement(X_43))))) )],[refute_0_1224,refute_0_1229]) ).
cnf(refute_0_1231,plain,
( converse(join(X_42,top)) != converse(join(X_43,join(X_42,complement(X_43))))
| converse(join(X_43,join(X_42,complement(X_43)))) = converse(join(X_42,top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_42,top)))),bind(Y,$fot(converse(join(X_43,join(X_42,complement(X_43))))))]]) ).
cnf(refute_0_1232,plain,
converse(join(X_43,join(X_42,complement(X_43)))) = converse(join(X_42,top)),
inference(resolve,[$cnf( $equal(converse(join(X_42,top)),converse(join(X_43,join(X_42,complement(X_43))))) )],[refute_0_1230,refute_0_1231]) ).
cnf(refute_0_1233,plain,
converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))) = converse(join(complement(join(top,join(top,complement(zero)))),top)),
inference(subst,[],[refute_0_1232:[bind(X_42,$fot(complement(join(top,join(top,complement(zero)))))),bind(X_43,$fot(zero))]]) ).
cnf(refute_0_1234,plain,
( converse(join(complement(join(top,join(top,complement(zero)))),top)) != converse(join(top,complement(join(top,join(top,complement(zero))))))
| converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))) != converse(join(complement(join(top,join(top,complement(zero)))),top))
| converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))) = converse(join(top,complement(join(top,join(top,complement(zero)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))))),bind(Y,$fot(converse(join(complement(join(top,join(top,complement(zero)))),top)))),bind(Z,$fot(converse(join(top,complement(join(top,join(top,complement(zero))))))))]]) ).
cnf(refute_0_1235,plain,
( converse(join(complement(join(top,join(top,complement(zero)))),top)) != converse(join(top,complement(join(top,join(top,complement(zero))))))
| converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))) = converse(join(top,complement(join(top,join(top,complement(zero)))))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))),converse(join(complement(join(top,join(top,complement(zero)))),top))) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))) = converse(join(top,complement(join(top,join(top,complement(zero)))))),
inference(resolve,[$cnf( $equal(converse(join(complement(join(top,join(top,complement(zero)))),top)),converse(join(top,complement(join(top,join(top,complement(zero))))))) )],[refute_0_1223,refute_0_1235]) ).
cnf(refute_0_1237,plain,
converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) = converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))),
inference(subst,[],[refute_0_771:[bind(X_41,$fot(complement(join(top,join(top,complement(zero)))))),bind(X_42,$fot(zero)),bind(X_43,$fot(complement(zero)))]]) ).
cnf(refute_0_1238,plain,
( converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) != converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))))
| converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))) != converse(join(top,complement(join(top,join(top,complement(zero))))))
| converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) = converse(join(top,complement(join(top,join(top,complement(zero)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))))),bind(Y,$fot(converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))))),bind(Z,$fot(converse(join(top,complement(join(top,join(top,complement(zero))))))))]]) ).
cnf(refute_0_1239,plain,
( converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))) != converse(join(top,complement(join(top,join(top,complement(zero))))))
| converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) = converse(join(top,complement(join(top,join(top,complement(zero)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))),converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero))))) )],[refute_0_1237,refute_0_1238]) ).
cnf(refute_0_1240,plain,
converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) = converse(join(top,complement(join(top,join(top,complement(zero)))))),
inference(resolve,[$cnf( $equal(converse(join(zero,join(complement(join(top,join(top,complement(zero)))),complement(zero)))),converse(join(top,complement(join(top,join(top,complement(zero))))))) )],[refute_0_1236,refute_0_1239]) ).
cnf(refute_0_1241,plain,
( converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) != converse(join(top,complement(join(top,join(top,complement(zero))))))
| converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) != converse(top)
| converse(join(top,complement(join(top,join(top,complement(zero)))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))),converse(top)) ),[0],$fot(converse(join(top,complement(join(top,join(top,complement(zero)))))))]]) ).
cnf(refute_0_1242,plain,
( converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))) != converse(top)
| converse(join(top,complement(join(top,join(top,complement(zero)))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))),converse(join(top,complement(join(top,join(top,complement(zero))))))) )],[refute_0_1240,refute_0_1241]) ).
cnf(refute_0_1243,plain,
converse(join(top,complement(join(top,join(top,complement(zero)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(complement(zero),join(zero,complement(join(top,join(top,complement(zero))))))),converse(top)) )],[refute_0_1220,refute_0_1242]) ).
cnf(refute_0_1244,plain,
( converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))) != join(X0,converse(join(top,complement(join(top,join(top,complement(zero)))))))
| converse(join(top,complement(join(top,join(top,complement(zero)))))) != converse(top)
| converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))) = join(X0,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))),join(X0,converse(join(top,complement(join(top,join(top,complement(zero)))))))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_0_1245,plain,
( converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))) != join(X0,converse(join(top,complement(join(top,join(top,complement(zero)))))))
| converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))) = join(X0,converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(top,complement(join(top,join(top,complement(zero)))))),converse(top)) )],[refute_0_1243,refute_0_1244]) ).
cnf(refute_0_1246,plain,
converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))) = join(X0,converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))),join(X0,converse(join(top,complement(join(top,join(top,complement(zero)))))))) )],[refute_0_1091,refute_0_1245]) ).
cnf(refute_0_1247,plain,
converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))) = converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))),
inference(subst,[],[refute_0_771:[bind(X_41,$fot(complement(join(top,join(top,complement(zero)))))),bind(X_42,$fot(top)),bind(X_43,$fot(converse(X0)))]]) ).
cnf(refute_0_1248,plain,
( converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))) != converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0))))
| converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))) != join(X0,converse(top))
| converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))) = join(X0,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))),join(X0,converse(top))) ),[0],$fot(converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))))]]) ).
cnf(refute_0_1249,plain,
( converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))) != join(X0,converse(top))
| converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))) = join(X0,converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))),converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0))))) )],[refute_0_1247,refute_0_1248]) ).
cnf(refute_0_1250,plain,
converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))) = join(X0,converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(top,complement(join(top,join(top,complement(zero))))))),join(X0,converse(top))) )],[refute_0_1246,refute_0_1249]) ).
cnf(refute_0_1251,plain,
converse(join(top,converse(X0))) = join(converse(top),X0),
inference(subst,[],[refute_0_817:[bind(X_4,$fot(top))]]) ).
cnf(refute_0_1252,plain,
converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) = join(converse(join(top,complement(join(top,join(top,complement(zero)))))),converse(X1)),
inference(subst,[],[refute_0_92:[bind(X0,$fot(join(top,complement(join(top,join(top,complement(zero)))))))]]) ).
cnf(refute_0_1253,plain,
( converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) != join(converse(join(top,complement(join(top,join(top,complement(zero)))))),converse(X1))
| converse(join(top,complement(join(top,join(top,complement(zero)))))) != converse(top)
| converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) = join(converse(top),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)),join(converse(join(top,complement(join(top,join(top,complement(zero)))))),converse(X1))) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_1254,plain,
( converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) != join(converse(join(top,complement(join(top,join(top,complement(zero)))))),converse(X1))
| converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) = join(converse(top),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(top,complement(join(top,join(top,complement(zero)))))),converse(top)) )],[refute_0_1243,refute_0_1253]) ).
cnf(refute_0_1255,plain,
converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) = join(converse(top),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)),join(converse(join(top,complement(join(top,join(top,complement(zero)))))),converse(X1))) )],[refute_0_1252,refute_0_1254]) ).
cnf(refute_0_1256,plain,
join(join(top,complement(join(top,join(top,complement(zero))))),X1) = join(top,join(complement(join(top,join(top,complement(zero)))),X1)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(top)),bind(X1,$fot(complement(join(top,join(top,complement(zero)))))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_1257,plain,
converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) = converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)))]]) ).
cnf(refute_0_1258,plain,
( converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) != converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1))
| join(join(top,complement(join(top,join(top,complement(zero))))),X1) != join(top,join(complement(join(top,join(top,complement(zero)))),X1))
| converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) = converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)),converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1))) ),[1,0],$fot(join(top,join(complement(join(top,join(top,complement(zero)))),X1)))]]) ).
cnf(refute_0_1259,plain,
( join(join(top,complement(join(top,join(top,complement(zero))))),X1) != join(top,join(complement(join(top,join(top,complement(zero)))),X1))
| converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) = converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)),converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1))) )],[refute_0_1257,refute_0_1258]) ).
cnf(refute_0_1260,plain,
converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) = converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))),
inference(resolve,[$cnf( $equal(join(join(top,complement(join(top,join(top,complement(zero))))),X1),join(top,join(complement(join(top,join(top,complement(zero)))),X1))) )],[refute_0_1256,refute_0_1259]) ).
cnf(refute_0_1261,plain,
( converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) != converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1)))
| converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) != join(converse(top),converse(X1))
| converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))) = join(converse(top),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)),join(converse(top),converse(X1))) ),[0],$fot(converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))))]]) ).
cnf(refute_0_1262,plain,
( converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) != join(converse(top),converse(X1))
| converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))) = join(converse(top),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)),converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1)))) )],[refute_0_1260,refute_0_1261]) ).
cnf(refute_0_1263,plain,
join(converse(top),converse(X1)) = converse(join(top,X1)),
inference(subst,[],[refute_0_260:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1264,plain,
( converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))) != join(converse(top),converse(X1))
| join(converse(top),converse(X1)) != converse(join(top,X1))
| converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))) = converse(join(top,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))),converse(join(top,X1))) ),[0],$fot(join(converse(top),converse(X1)))]]) ).
cnf(refute_0_1265,plain,
( converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))) != join(converse(top),converse(X1))
| converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))) = converse(join(top,X1)) ),
inference(resolve,[$cnf( $equal(join(converse(top),converse(X1)),converse(join(top,X1))) )],[refute_0_1263,refute_0_1264]) ).
cnf(refute_0_1266,plain,
( converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)) != join(converse(top),converse(X1))
| converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))) = converse(join(top,X1)) ),
inference(resolve,[$cnf( $equal(converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))),join(converse(top),converse(X1))) )],[refute_0_1262,refute_0_1265]) ).
cnf(refute_0_1267,plain,
converse(join(top,join(complement(join(top,join(top,complement(zero)))),X1))) = converse(join(top,X1)),
inference(resolve,[$cnf( $equal(converse(join(join(top,complement(join(top,join(top,complement(zero))))),X1)),join(converse(top),converse(X1))) )],[refute_0_1255,refute_0_1266]) ).
cnf(refute_0_1268,plain,
converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))) = converse(join(top,converse(X0))),
inference(subst,[],[refute_0_1267:[bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1269,plain,
( converse(join(top,converse(X0))) != join(converse(top),X0)
| converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))) != converse(join(top,converse(X0)))
| converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))) = join(converse(top),X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))))),bind(Y,$fot(converse(join(top,converse(X0))))),bind(Z,$fot(join(converse(top),X0)))]]) ).
cnf(refute_0_1270,plain,
( converse(join(top,converse(X0))) != join(converse(top),X0)
| converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))) = join(converse(top),X0) ),
inference(resolve,[$cnf( $equal(converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))),converse(join(top,converse(X0)))) )],[refute_0_1268,refute_0_1269]) ).
cnf(refute_0_1271,plain,
converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))) = join(converse(top),X0),
inference(resolve,[$cnf( $equal(converse(join(top,converse(X0))),join(converse(top),X0)) )],[refute_0_1251,refute_0_1270]) ).
cnf(refute_0_1272,plain,
( converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))) != join(X0,converse(top))
| converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))) != join(converse(top),X0)
| join(converse(top),X0) = join(X0,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))),join(X0,converse(top))) ),[0],$fot(join(converse(top),X0))]]) ).
cnf(refute_0_1273,plain,
( converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))) != join(X0,converse(top))
| join(converse(top),X0) = join(X0,converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))),join(converse(top),X0)) )],[refute_0_1271,refute_0_1272]) ).
cnf(refute_0_1274,plain,
join(converse(top),X0) = join(X0,converse(top)),
inference(resolve,[$cnf( $equal(converse(join(top,join(complement(join(top,join(top,complement(zero)))),converse(X0)))),join(X0,converse(top))) )],[refute_0_1250,refute_0_1273]) ).
cnf(refute_0_1275,plain,
( join(converse(top),X0) != join(X0,converse(top))
| join(X0,converse(top)) = join(converse(top),X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(converse(top),X0))),bind(Y,$fot(join(X0,converse(top))))]]) ).
cnf(refute_0_1276,plain,
join(X0,converse(top)) = join(converse(top),X0),
inference(resolve,[$cnf( $equal(join(converse(top),X0),join(X0,converse(top))) )],[refute_0_1274,refute_0_1275]) ).
cnf(refute_0_1277,plain,
join(complement(converse(complement(converse(complement(converse(top)))))),converse(top)) = join(converse(top),complement(converse(complement(converse(complement(converse(top))))))),
inference(subst,[],[refute_0_1276:[bind(X0,$fot(complement(converse(complement(converse(complement(converse(top))))))))]]) ).
cnf(refute_0_1278,plain,
( join(complement(converse(complement(converse(complement(converse(top)))))),converse(top)) != join(converse(top),complement(converse(complement(converse(complement(converse(top)))))))
| join(complement(converse(complement(converse(complement(converse(top)))))),converse(top)) != top
| join(converse(top),complement(converse(complement(converse(complement(converse(top))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),converse(top)),top) ),[0],$fot(join(converse(top),complement(converse(complement(converse(complement(converse(top))))))))]]) ).
cnf(refute_0_1279,plain,
( join(complement(converse(complement(converse(complement(converse(top)))))),converse(top)) != top
| join(converse(top),complement(converse(complement(converse(complement(converse(top))))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),converse(top)),join(converse(top),complement(converse(complement(converse(complement(converse(top)))))))) )],[refute_0_1277,refute_0_1278]) ).
cnf(refute_0_1280,plain,
join(converse(top),complement(converse(complement(converse(complement(converse(top))))))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),converse(top)),top) )],[refute_0_1090,refute_0_1279]) ).
cnf(refute_0_1281,plain,
( converse(complement(converse(complement(converse(top))))) != join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(join(converse(top),complement(converse(complement(converse(complement(converse(top)))))))))
| join(converse(top),complement(converse(complement(converse(complement(converse(top))))))) != top
| converse(complement(converse(complement(converse(top))))) = join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(converse(top))))),join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(join(converse(top),complement(converse(complement(converse(complement(converse(top)))))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1282,plain,
( converse(complement(converse(complement(converse(top))))) != join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(join(converse(top),complement(converse(complement(converse(complement(converse(top)))))))))
| converse(complement(converse(complement(converse(top))))) = join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(complement(converse(complement(converse(top))))))),top) )],[refute_0_1280,refute_0_1281]) ).
cnf(refute_0_1283,plain,
converse(complement(converse(complement(converse(top))))) = join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(top))))),join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(join(converse(top),complement(converse(complement(converse(complement(converse(top)))))))))) )],[refute_0_1084,refute_0_1282]) ).
cnf(refute_0_1284,plain,
join(zero,meet(converse(top),converse(complement(converse(complement(converse(top))))))) = meet(converse(top),converse(complement(converse(complement(converse(top)))))),
inference(subst,[],[refute_0_641:[bind(X_64,$fot(meet(converse(top),converse(complement(converse(complement(converse(top))))))))]]) ).
cnf(refute_0_1285,plain,
meet(converse(complement(converse(complement(converse(top))))),converse(top)) = meet(converse(top),converse(complement(converse(complement(converse(top)))))),
inference(subst,[],[refute_0_238:[bind(X_25,$fot(converse(top))),bind(X_26,$fot(converse(complement(converse(complement(converse(top)))))))]]) ).
cnf(refute_0_1286,plain,
join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))) = join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))))]]) ).
cnf(refute_0_1287,plain,
( join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))) != join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top)))
| meet(converse(complement(converse(complement(converse(top))))),converse(top)) != meet(converse(top),converse(complement(converse(complement(converse(top))))))
| join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))) = join(zero,meet(converse(top),converse(complement(converse(complement(converse(top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))),join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top)))) ),[1,1],$fot(meet(converse(top),converse(complement(converse(complement(converse(top)))))))]]) ).
cnf(refute_0_1288,plain,
( meet(converse(complement(converse(complement(converse(top))))),converse(top)) != meet(converse(top),converse(complement(converse(complement(converse(top))))))
| join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))) = join(zero,meet(converse(top),converse(complement(converse(complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))),join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top)))) )],[refute_0_1286,refute_0_1287]) ).
cnf(refute_0_1289,plain,
join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))) = join(zero,meet(converse(top),converse(complement(converse(complement(converse(top))))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(converse(top))))),converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top))))))) )],[refute_0_1285,refute_0_1288]) ).
cnf(refute_0_1290,plain,
join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) = join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))))]]) ).
cnf(refute_0_1291,plain,
( complement(top) != zero
| join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) != join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top)))
| join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) = join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))),join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1292,plain,
( complement(top) != zero
| join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) = join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))),join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top)))) )],[refute_0_1290,refute_0_1291]) ).
cnf(refute_0_1293,plain,
join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) = join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_1292]) ).
cnf(refute_0_1294,plain,
( join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) != join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top)))
| join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))) != join(zero,meet(converse(top),converse(complement(converse(complement(converse(top)))))))
| join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) = join(zero,meet(converse(top),converse(complement(converse(complement(converse(top))))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))))),bind(Y,$fot(join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))))),bind(Z,$fot(join(zero,meet(converse(top),converse(complement(converse(complement(converse(top)))))))))]]) ).
cnf(refute_0_1295,plain,
( join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))) != join(zero,meet(converse(top),converse(complement(converse(complement(converse(top)))))))
| join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) = join(zero,meet(converse(top),converse(complement(converse(complement(converse(top))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))),join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top)))) )],[refute_0_1293,refute_0_1294]) ).
cnf(refute_0_1296,plain,
join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) = join(zero,meet(converse(top),converse(complement(converse(complement(converse(top))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(converse(complement(converse(top))))),converse(top))),join(zero,meet(converse(top),converse(complement(converse(complement(converse(top)))))))) )],[refute_0_1289,refute_0_1295]) ).
cnf(refute_0_1297,plain,
( join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) != join(zero,meet(converse(top),converse(complement(converse(complement(converse(top)))))))
| join(zero,meet(converse(top),converse(complement(converse(complement(converse(top))))))) != meet(converse(top),converse(complement(converse(complement(converse(top))))))
| join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) = meet(converse(top),converse(complement(converse(complement(converse(top)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))))),bind(Y,$fot(join(zero,meet(converse(top),converse(complement(converse(complement(converse(top))))))))),bind(Z,$fot(meet(converse(top),converse(complement(converse(complement(converse(top))))))))]]) ).
cnf(refute_0_1298,plain,
( join(zero,meet(converse(top),converse(complement(converse(complement(converse(top))))))) != meet(converse(top),converse(complement(converse(complement(converse(top))))))
| join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) = meet(converse(top),converse(complement(converse(complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))),join(zero,meet(converse(top),converse(complement(converse(complement(converse(top)))))))) )],[refute_0_1296,refute_0_1297]) ).
cnf(refute_0_1299,plain,
join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) = meet(converse(top),converse(complement(converse(complement(converse(top)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(top),converse(complement(converse(complement(converse(top))))))),meet(converse(top),converse(complement(converse(complement(converse(top))))))) )],[refute_0_1284,refute_0_1298]) ).
cnf(refute_0_1300,plain,
join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)) = join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(converse(complement(converse(complement(converse(top))))),converse(top))))]]) ).
cnf(refute_0_1301,plain,
( join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) != meet(converse(top),converse(complement(converse(complement(converse(top))))))
| join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)) != join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top)))
| join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)) = meet(converse(top),converse(complement(converse(complement(converse(top)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)))),bind(Y,$fot(join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))))),bind(Z,$fot(meet(converse(top),converse(complement(converse(complement(converse(top))))))))]]) ).
cnf(refute_0_1302,plain,
( join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))) != meet(converse(top),converse(complement(converse(complement(converse(top))))))
| join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)) = meet(converse(top),converse(complement(converse(complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)),join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top)))) )],[refute_0_1300,refute_0_1301]) ).
cnf(refute_0_1303,plain,
join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)) = meet(converse(top),converse(complement(converse(complement(converse(top)))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(complement(converse(complement(converse(top))))),converse(top))),meet(converse(top),converse(complement(converse(complement(converse(top))))))) )],[refute_0_1299,refute_0_1302]) ).
cnf(refute_0_1304,plain,
( converse(complement(converse(complement(converse(top))))) != join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top))
| join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)) != meet(converse(top),converse(complement(converse(complement(converse(top))))))
| converse(complement(converse(complement(converse(top))))) = meet(converse(top),converse(complement(converse(complement(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(converse(top))))),meet(converse(top),converse(complement(converse(complement(converse(top))))))) ),[0],$fot(join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)))]]) ).
cnf(refute_0_1305,plain,
( converse(complement(converse(complement(converse(top))))) != join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top))
| converse(complement(converse(complement(converse(top))))) = meet(converse(top),converse(complement(converse(complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top)),meet(converse(top),converse(complement(converse(complement(converse(top))))))) )],[refute_0_1303,refute_0_1304]) ).
cnf(refute_0_1306,plain,
converse(complement(converse(complement(converse(top))))) = meet(converse(top),converse(complement(converse(complement(converse(top)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(top))))),join(meet(converse(complement(converse(complement(converse(top))))),converse(top)),complement(top))) )],[refute_0_1283,refute_0_1305]) ).
cnf(refute_0_1307,plain,
( converse(complement(converse(complement(converse(top))))) != meet(converse(top),converse(complement(converse(complement(converse(top))))))
| meet(converse(top),converse(complement(converse(complement(converse(top)))))) = converse(complement(converse(complement(converse(top))))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(converse(complement(converse(top))))))),bind(Y,$fot(meet(converse(top),converse(complement(converse(complement(converse(top))))))))]]) ).
cnf(refute_0_1308,plain,
meet(converse(top),converse(complement(converse(complement(converse(top)))))) = converse(complement(converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(top))))),meet(converse(top),converse(complement(converse(complement(converse(top))))))) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
( join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top)))))))) != top
| meet(converse(top),converse(complement(converse(complement(converse(top)))))) != converse(complement(converse(complement(converse(top)))))
| join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top)))))))),top) ),[0,1,1],$fot(converse(complement(converse(complement(converse(top))))))]]) ).
cnf(refute_0_1310,plain,
( join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top)))))))) != top
| join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))) = top ),
inference(resolve,[$cnf( $equal(meet(converse(top),converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))) )],[refute_0_1308,refute_0_1309]) ).
cnf(refute_0_1311,plain,
join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),meet(converse(top),converse(complement(converse(complement(converse(top)))))))),top) )],[refute_0_1083,refute_0_1310]) ).
cnf(refute_0_1312,plain,
converse(converse(join(top,join(X_57,zero)))) = join(top,join(X_57,zero)),
inference(subst,[],[refute_0_30:[bind(X0,$fot(join(top,join(X_57,zero))))]]) ).
cnf(refute_0_1313,plain,
converse(join(X_42,join(top,zero))) = converse(join(top,join(X_42,zero))),
inference(subst,[],[refute_0_291:[bind(X1,$fot(zero)),bind(X_10,$fot(X_42)),bind(X_11,$fot(top))]]) ).
cnf(refute_0_1314,plain,
( converse(join(X_42,join(top,zero))) != converse(join(top,join(X_42,zero)))
| join(top,zero) != top
| converse(join(X_42,top)) = converse(join(top,join(X_42,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_42,join(top,zero))),converse(join(top,join(X_42,zero)))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_1315,plain,
( converse(join(X_42,join(top,zero))) != converse(join(top,join(X_42,zero)))
| converse(join(X_42,top)) = converse(join(top,join(X_42,zero))) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_497,refute_0_1314]) ).
cnf(refute_0_1316,plain,
converse(join(X_42,top)) = converse(join(top,join(X_42,zero))),
inference(resolve,[$cnf( $equal(converse(join(X_42,join(top,zero))),converse(join(top,join(X_42,zero)))) )],[refute_0_1313,refute_0_1315]) ).
cnf(refute_0_1317,plain,
converse(join(X_57,top)) = converse(join(top,join(X_57,zero))),
inference(subst,[],[refute_0_1316:[bind(X_42,$fot(X_57))]]) ).
cnf(refute_0_1318,plain,
( converse(join(X_57,top)) != converse(join(top,join(X_57,zero)))
| converse(join(top,join(X_57,zero))) = converse(join(X_57,top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_57,top)))),bind(Y,$fot(converse(join(top,join(X_57,zero)))))]]) ).
cnf(refute_0_1319,plain,
converse(join(top,join(X_57,zero))) = converse(join(X_57,top)),
inference(resolve,[$cnf( $equal(converse(join(X_57,top)),converse(join(top,join(X_57,zero)))) )],[refute_0_1317,refute_0_1318]) ).
cnf(refute_0_1320,plain,
( converse(converse(join(top,join(X_57,zero)))) != join(top,join(X_57,zero))
| converse(join(top,join(X_57,zero))) != converse(join(X_57,top))
| converse(converse(join(X_57,top))) = join(top,join(X_57,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(top,join(X_57,zero)))),join(top,join(X_57,zero))) ),[0,0],$fot(converse(join(X_57,top)))]]) ).
cnf(refute_0_1321,plain,
( converse(converse(join(top,join(X_57,zero)))) != join(top,join(X_57,zero))
| converse(converse(join(X_57,top))) = join(top,join(X_57,zero)) ),
inference(resolve,[$cnf( $equal(converse(join(top,join(X_57,zero))),converse(join(X_57,top))) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
converse(converse(join(X_57,top))) = join(top,join(X_57,zero)),
inference(resolve,[$cnf( $equal(converse(converse(join(top,join(X_57,zero)))),join(top,join(X_57,zero))) )],[refute_0_1312,refute_0_1321]) ).
cnf(refute_0_1323,plain,
converse(converse(join(X_57,top))) = join(X_57,top),
inference(subst,[],[refute_0_30:[bind(X0,$fot(join(X_57,top)))]]) ).
cnf(refute_0_1324,plain,
( converse(converse(join(X_57,top))) != join(X_57,top)
| converse(converse(join(X_57,top))) != join(top,join(X_57,zero))
| join(X_57,top) = join(top,join(X_57,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_57,top))),join(top,join(X_57,zero))) ),[0],$fot(join(X_57,top))]]) ).
cnf(refute_0_1325,plain,
( converse(converse(join(X_57,top))) != join(top,join(X_57,zero))
| join(X_57,top) = join(top,join(X_57,zero)) ),
inference(resolve,[$cnf( $equal(converse(converse(join(X_57,top))),join(X_57,top)) )],[refute_0_1323,refute_0_1324]) ).
cnf(refute_0_1326,plain,
join(X_57,top) = join(top,join(X_57,zero)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_57,top))),join(top,join(X_57,zero))) )],[refute_0_1322,refute_0_1325]) ).
cnf(refute_0_1327,plain,
join(X_58,top) = join(top,join(X_58,zero)),
inference(subst,[],[refute_0_1326:[bind(X_57,$fot(X_58))]]) ).
cnf(refute_0_1328,plain,
join(zero,X_58) = join(X_58,zero),
inference(subst,[],[refute_0_1:[bind(X0,$fot(zero)),bind(X1,$fot(X_58))]]) ).
cnf(refute_0_1329,plain,
( join(zero,X_58) != join(X_58,zero)
| join(X_58,zero) = join(zero,X_58) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(zero,X_58))),bind(Y,$fot(join(X_58,zero)))]]) ).
cnf(refute_0_1330,plain,
join(X_58,zero) = join(zero,X_58),
inference(resolve,[$cnf( $equal(join(zero,X_58),join(X_58,zero)) )],[refute_0_1328,refute_0_1329]) ).
cnf(refute_0_1331,plain,
( join(X_58,top) != join(top,join(X_58,zero))
| join(X_58,zero) != join(zero,X_58)
| join(X_58,top) = join(top,join(zero,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_58,top),join(top,join(X_58,zero))) ),[1,1],$fot(join(zero,X_58))]]) ).
cnf(refute_0_1332,plain,
( join(X_58,top) != join(top,join(X_58,zero))
| join(X_58,top) = join(top,join(zero,X_58)) ),
inference(resolve,[$cnf( $equal(join(X_58,zero),join(zero,X_58)) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
join(X_58,top) = join(top,join(zero,X_58)),
inference(resolve,[$cnf( $equal(join(X_58,top),join(top,join(X_58,zero))) )],[refute_0_1327,refute_0_1332]) ).
cnf(refute_0_1334,plain,
join(zero,X_58) = X_58,
inference(subst,[],[refute_0_641:[bind(X_64,$fot(X_58))]]) ).
cnf(refute_0_1335,plain,
join(top,join(zero,X_58)) = join(top,join(zero,X_58)),
introduced(tautology,[refl,[$fot(join(top,join(zero,X_58)))]]) ).
cnf(refute_0_1336,plain,
( join(top,join(zero,X_58)) != join(top,join(zero,X_58))
| join(zero,X_58) != X_58
| join(top,join(zero,X_58)) = join(top,X_58) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_58)),join(top,join(zero,X_58))) ),[1,1],$fot(X_58)]]) ).
cnf(refute_0_1337,plain,
( join(zero,X_58) != X_58
| join(top,join(zero,X_58)) = join(top,X_58) ),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_58)),join(top,join(zero,X_58))) )],[refute_0_1335,refute_0_1336]) ).
cnf(refute_0_1338,plain,
join(top,join(zero,X_58)) = join(top,X_58),
inference(resolve,[$cnf( $equal(join(zero,X_58),X_58) )],[refute_0_1334,refute_0_1337]) ).
cnf(refute_0_1339,plain,
( join(X_58,top) != join(top,join(zero,X_58))
| join(top,join(zero,X_58)) != join(top,X_58)
| join(X_58,top) = join(top,X_58) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_58,top),join(top,X_58)) ),[0],$fot(join(top,join(zero,X_58)))]]) ).
cnf(refute_0_1340,plain,
( join(X_58,top) != join(top,join(zero,X_58))
| join(X_58,top) = join(top,X_58) ),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_58)),join(top,X_58)) )],[refute_0_1338,refute_0_1339]) ).
cnf(refute_0_1341,plain,
join(X_58,top) = join(top,X_58),
inference(resolve,[$cnf( $equal(join(X_58,top),join(top,join(zero,X_58))) )],[refute_0_1333,refute_0_1340]) ).
cnf(refute_0_1342,plain,
join(complement(converse(top)),top) = join(top,complement(converse(top))),
inference(subst,[],[refute_0_1341:[bind(X_58,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1343,plain,
join(converse(complement(converse(complement(converse(top))))),complement(converse(complement(converse(complement(converse(top))))))) = top,
inference(subst,[],[refute_0_199:[bind(X0,$fot(converse(complement(converse(complement(converse(top)))))))]]) ).
cnf(refute_0_1344,plain,
join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))) = join(converse(complement(converse(complement(converse(top))))),complement(converse(complement(converse(complement(converse(top))))))),
inference(subst,[],[refute_0_977:[bind(X0,$fot(complement(converse(complement(converse(complement(converse(top)))))))),bind(X_46,$fot(complement(converse(complement(converse(top))))))]]) ).
cnf(refute_0_1345,plain,
( join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))) != join(converse(complement(converse(complement(converse(top))))),complement(converse(complement(converse(complement(converse(top)))))))
| join(converse(complement(converse(complement(converse(top))))),complement(converse(complement(converse(complement(converse(top))))))) != top
| join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))))),bind(Y,$fot(join(converse(complement(converse(complement(converse(top))))),complement(converse(complement(converse(complement(converse(top))))))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1346,plain,
( join(converse(complement(converse(complement(converse(top))))),complement(converse(complement(converse(complement(converse(top))))))) != top
| join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))),join(converse(complement(converse(complement(converse(top))))),complement(converse(complement(converse(complement(converse(top)))))))) )],[refute_0_1344,refute_0_1345]) ).
cnf(refute_0_1347,plain,
join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))) = top,
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(converse(top))))),complement(converse(complement(converse(complement(converse(top))))))),top) )],[refute_0_1343,refute_0_1346]) ).
cnf(refute_0_1348,plain,
join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))) = join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))))]]) ).
cnf(refute_0_1349,plain,
( join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))) != top
| join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))) != join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))))
| join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))) = join(complement(converse(top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))),join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1350,plain,
( join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))) != top
| join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))) = join(complement(converse(top)),top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))),join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))))) )],[refute_0_1348,refute_0_1349]) ).
cnf(refute_0_1351,plain,
join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))) = join(complement(converse(top)),top),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))),top) )],[refute_0_1347,refute_0_1350]) ).
cnf(refute_0_1352,plain,
( join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))) != join(complement(converse(top)),top)
| join(complement(converse(top)),top) != join(top,complement(converse(top)))
| join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))) = join(top,complement(converse(top))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))))),bind(Y,$fot(join(complement(converse(top)),top))),bind(Z,$fot(join(top,complement(converse(top)))))]]) ).
cnf(refute_0_1353,plain,
( join(complement(converse(top)),top) != join(top,complement(converse(top)))
| join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))) = join(top,complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))),join(complement(converse(top)),top)) )],[refute_0_1351,refute_0_1352]) ).
cnf(refute_0_1354,plain,
join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))) = join(top,complement(converse(top))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),top),join(top,complement(converse(top)))) )],[refute_0_1342,refute_0_1353]) ).
cnf(refute_0_1355,plain,
join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))) = join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))),
inference(subst,[],[refute_0_301:[bind(X_41,$fot(converse(complement(converse(complement(converse(top))))))),bind(X_42,$fot(complement(converse(complement(converse(complement(converse(top)))))))),bind(X_43,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1356,plain,
( join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))) != join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))))
| join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))) != join(top,complement(converse(top)))
| join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))) = join(top,complement(converse(top))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))))),bind(Y,$fot(join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))))),bind(Z,$fot(join(top,complement(converse(top)))))]]) ).
cnf(refute_0_1357,plain,
( join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))) != join(top,complement(converse(top)))
| join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))) = join(top,complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))),join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top)))))))) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))) = join(top,complement(converse(top))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(complement(converse(complement(converse(complement(converse(top)))))),converse(complement(converse(complement(converse(top))))))),join(top,complement(converse(top)))) )],[refute_0_1354,refute_0_1357]) ).
cnf(refute_0_1359,plain,
( join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))) != join(top,complement(converse(top)))
| join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))) != top
| join(top,complement(converse(top))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))),top) ),[0],$fot(join(top,complement(converse(top))))]]) ).
cnf(refute_0_1360,plain,
( join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))) != top
| join(top,complement(converse(top))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))),join(top,complement(converse(top)))) )],[refute_0_1358,refute_0_1359]) ).
cnf(refute_0_1361,plain,
join(top,complement(converse(top))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(converse(top)))))),join(complement(converse(top)),converse(complement(converse(complement(converse(top))))))),top) )],[refute_0_1311,refute_0_1360]) ).
cnf(refute_0_1362,plain,
( join(top,complement(converse(top))) != top
| zero != join(meet(complement(converse(top)),zero),complement(join(top,complement(converse(top)))))
| zero = join(meet(complement(converse(top)),zero),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(complement(converse(top)),zero),complement(join(top,complement(converse(top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1363,plain,
( zero != join(meet(complement(converse(top)),zero),complement(join(top,complement(converse(top)))))
| zero = join(meet(complement(converse(top)),zero),complement(top)) ),
inference(resolve,[$cnf( $equal(join(top,complement(converse(top))),top) )],[refute_0_1361,refute_0_1362]) ).
cnf(refute_0_1364,plain,
zero = join(meet(complement(converse(top)),zero),complement(top)),
inference(resolve,[$cnf( $equal(zero,join(meet(complement(converse(top)),zero),complement(join(top,complement(converse(top)))))) )],[refute_0_1082,refute_0_1363]) ).
cnf(refute_0_1365,plain,
join(zero,meet(zero,complement(converse(top)))) = meet(zero,complement(converse(top))),
inference(subst,[],[refute_0_641:[bind(X_64,$fot(meet(zero,complement(converse(top)))))]]) ).
cnf(refute_0_1366,plain,
meet(complement(converse(top)),zero) = meet(zero,complement(converse(top))),
inference(subst,[],[refute_0_238:[bind(X_25,$fot(zero)),bind(X_26,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1367,plain,
join(zero,meet(complement(converse(top)),zero)) = join(zero,meet(complement(converse(top)),zero)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(converse(top)),zero)))]]) ).
cnf(refute_0_1368,plain,
( join(zero,meet(complement(converse(top)),zero)) != join(zero,meet(complement(converse(top)),zero))
| meet(complement(converse(top)),zero) != meet(zero,complement(converse(top)))
| join(zero,meet(complement(converse(top)),zero)) = join(zero,meet(zero,complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(converse(top)),zero)),join(zero,meet(complement(converse(top)),zero))) ),[1,1],$fot(meet(zero,complement(converse(top))))]]) ).
cnf(refute_0_1369,plain,
( meet(complement(converse(top)),zero) != meet(zero,complement(converse(top)))
| join(zero,meet(complement(converse(top)),zero)) = join(zero,meet(zero,complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(top)),zero)),join(zero,meet(complement(converse(top)),zero))) )],[refute_0_1367,refute_0_1368]) ).
cnf(refute_0_1370,plain,
join(zero,meet(complement(converse(top)),zero)) = join(zero,meet(zero,complement(converse(top)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(top)),zero),meet(zero,complement(converse(top)))) )],[refute_0_1366,refute_0_1369]) ).
cnf(refute_0_1371,plain,
join(complement(top),meet(complement(converse(top)),zero)) = join(complement(top),meet(complement(converse(top)),zero)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(converse(top)),zero)))]]) ).
cnf(refute_0_1372,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(top)),zero)) != join(complement(top),meet(complement(converse(top)),zero))
| join(complement(top),meet(complement(converse(top)),zero)) = join(zero,meet(complement(converse(top)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(converse(top)),zero)),join(complement(top),meet(complement(converse(top)),zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1373,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(top)),zero)) = join(zero,meet(complement(converse(top)),zero)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(top)),zero)),join(complement(top),meet(complement(converse(top)),zero))) )],[refute_0_1371,refute_0_1372]) ).
cnf(refute_0_1374,plain,
join(complement(top),meet(complement(converse(top)),zero)) = join(zero,meet(complement(converse(top)),zero)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_1373]) ).
cnf(refute_0_1375,plain,
( join(complement(top),meet(complement(converse(top)),zero)) != join(zero,meet(complement(converse(top)),zero))
| join(zero,meet(complement(converse(top)),zero)) != join(zero,meet(zero,complement(converse(top))))
| join(complement(top),meet(complement(converse(top)),zero)) = join(zero,meet(zero,complement(converse(top)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(complement(converse(top)),zero)))),bind(Y,$fot(join(zero,meet(complement(converse(top)),zero)))),bind(Z,$fot(join(zero,meet(zero,complement(converse(top))))))]]) ).
cnf(refute_0_1376,plain,
( join(zero,meet(complement(converse(top)),zero)) != join(zero,meet(zero,complement(converse(top))))
| join(complement(top),meet(complement(converse(top)),zero)) = join(zero,meet(zero,complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(top)),zero)),join(zero,meet(complement(converse(top)),zero))) )],[refute_0_1374,refute_0_1375]) ).
cnf(refute_0_1377,plain,
join(complement(top),meet(complement(converse(top)),zero)) = join(zero,meet(zero,complement(converse(top)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(top)),zero)),join(zero,meet(zero,complement(converse(top))))) )],[refute_0_1370,refute_0_1376]) ).
cnf(refute_0_1378,plain,
( join(complement(top),meet(complement(converse(top)),zero)) != join(zero,meet(zero,complement(converse(top))))
| join(zero,meet(zero,complement(converse(top)))) != meet(zero,complement(converse(top)))
| join(complement(top),meet(complement(converse(top)),zero)) = meet(zero,complement(converse(top))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(complement(converse(top)),zero)))),bind(Y,$fot(join(zero,meet(zero,complement(converse(top)))))),bind(Z,$fot(meet(zero,complement(converse(top)))))]]) ).
cnf(refute_0_1379,plain,
( join(zero,meet(zero,complement(converse(top)))) != meet(zero,complement(converse(top)))
| join(complement(top),meet(complement(converse(top)),zero)) = meet(zero,complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(top)),zero)),join(zero,meet(zero,complement(converse(top))))) )],[refute_0_1377,refute_0_1378]) ).
cnf(refute_0_1380,plain,
join(complement(top),meet(complement(converse(top)),zero)) = meet(zero,complement(converse(top))),
inference(resolve,[$cnf( $equal(join(zero,meet(zero,complement(converse(top)))),meet(zero,complement(converse(top)))) )],[refute_0_1365,refute_0_1379]) ).
cnf(refute_0_1381,plain,
join(meet(complement(converse(top)),zero),complement(top)) = join(complement(top),meet(complement(converse(top)),zero)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(complement(converse(top)),zero)))]]) ).
cnf(refute_0_1382,plain,
( join(complement(top),meet(complement(converse(top)),zero)) != meet(zero,complement(converse(top)))
| join(meet(complement(converse(top)),zero),complement(top)) != join(complement(top),meet(complement(converse(top)),zero))
| join(meet(complement(converse(top)),zero),complement(top)) = meet(zero,complement(converse(top))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(complement(converse(top)),zero),complement(top)))),bind(Y,$fot(join(complement(top),meet(complement(converse(top)),zero)))),bind(Z,$fot(meet(zero,complement(converse(top)))))]]) ).
cnf(refute_0_1383,plain,
( join(complement(top),meet(complement(converse(top)),zero)) != meet(zero,complement(converse(top)))
| join(meet(complement(converse(top)),zero),complement(top)) = meet(zero,complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(top)),zero),complement(top)),join(complement(top),meet(complement(converse(top)),zero))) )],[refute_0_1381,refute_0_1382]) ).
cnf(refute_0_1384,plain,
join(meet(complement(converse(top)),zero),complement(top)) = meet(zero,complement(converse(top))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(top)),zero)),meet(zero,complement(converse(top)))) )],[refute_0_1380,refute_0_1383]) ).
cnf(refute_0_1385,plain,
( join(meet(complement(converse(top)),zero),complement(top)) != meet(zero,complement(converse(top)))
| zero != join(meet(complement(converse(top)),zero),complement(top))
| zero = meet(zero,complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(complement(converse(top)),zero),complement(top))) ),[1],$fot(meet(zero,complement(converse(top))))]]) ).
cnf(refute_0_1386,plain,
( zero != join(meet(complement(converse(top)),zero),complement(top))
| zero = meet(zero,complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(top)),zero),complement(top)),meet(zero,complement(converse(top)))) )],[refute_0_1384,refute_0_1385]) ).
cnf(refute_0_1387,plain,
zero = meet(zero,complement(converse(top))),
inference(resolve,[$cnf( $equal(zero,join(meet(complement(converse(top)),zero),complement(top))) )],[refute_0_1364,refute_0_1386]) ).
cnf(refute_0_1388,plain,
( zero != meet(zero,complement(converse(top)))
| meet(zero,complement(converse(top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,complement(converse(top)))))]]) ).
cnf(refute_0_1389,plain,
meet(zero,complement(converse(top))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,complement(converse(top)))) )],[refute_0_1387,refute_0_1388]) ).
cnf(refute_0_1390,plain,
( join(complement(complement(converse(top))),join(complement(zero),meet(zero,complement(converse(top))))) != top
| meet(zero,complement(converse(top))) != zero
| join(complement(complement(converse(top))),join(complement(zero),zero)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(top))),join(complement(zero),meet(zero,complement(converse(top))))),top) ),[0,1,1],$fot(zero)]]) ).
cnf(refute_0_1391,plain,
( join(complement(complement(converse(top))),join(complement(zero),meet(zero,complement(converse(top))))) != top
| join(complement(complement(converse(top))),join(complement(zero),zero)) = top ),
inference(resolve,[$cnf( $equal(meet(zero,complement(converse(top))),zero) )],[refute_0_1389,refute_0_1390]) ).
cnf(refute_0_1392,plain,
join(complement(complement(converse(top))),join(complement(zero),zero)) = top,
inference(resolve,[$cnf( $equal(join(complement(complement(converse(top))),join(complement(zero),meet(zero,complement(converse(top))))),top) )],[refute_0_1081,refute_0_1391]) ).
cnf(refute_0_1393,plain,
complement(complement(converse(top))) = converse(top),
inference(subst,[],[refute_0_479:[bind(X_64,$fot(converse(top)))]]) ).
cnf(refute_0_1394,plain,
join(complement(complement(converse(top))),zero) = complement(complement(converse(top))),
inference(subst,[],[refute_0_496:[bind(X1,$fot(complement(complement(converse(top)))))]]) ).
cnf(refute_0_1395,plain,
( complement(complement(converse(top))) != converse(top)
| join(complement(complement(converse(top))),zero) != complement(complement(converse(top)))
| join(complement(complement(converse(top))),zero) = converse(top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(complement(converse(top))),zero))),bind(Y,$fot(complement(complement(converse(top))))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_1396,plain,
( complement(complement(converse(top))) != converse(top)
| join(complement(complement(converse(top))),zero) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(top))),zero),complement(complement(converse(top)))) )],[refute_0_1394,refute_0_1395]) ).
cnf(refute_0_1397,plain,
join(complement(complement(converse(top))),zero) = converse(top),
inference(resolve,[$cnf( $equal(complement(complement(converse(top))),converse(top)) )],[refute_0_1393,refute_0_1396]) ).
cnf(refute_0_1398,plain,
join(top,join(complement(complement(converse(top))),zero)) = join(top,join(complement(complement(converse(top))),zero)),
introduced(tautology,[refl,[$fot(join(top,join(complement(complement(converse(top))),zero)))]]) ).
cnf(refute_0_1399,plain,
( join(complement(complement(converse(top))),zero) != converse(top)
| join(top,join(complement(complement(converse(top))),zero)) != join(top,join(complement(complement(converse(top))),zero))
| join(top,join(complement(complement(converse(top))),zero)) = join(top,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(complement(complement(converse(top))),zero)),join(top,join(complement(complement(converse(top))),zero))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_0_1400,plain,
( join(complement(complement(converse(top))),zero) != converse(top)
| join(top,join(complement(complement(converse(top))),zero)) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(complement(converse(top))),zero)),join(top,join(complement(complement(converse(top))),zero))) )],[refute_0_1398,refute_0_1399]) ).
cnf(refute_0_1401,plain,
join(top,join(complement(complement(converse(top))),zero)) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(top))),zero),converse(top)) )],[refute_0_1397,refute_0_1400]) ).
cnf(refute_0_1402,plain,
join(complement(zero),join(complement(complement(converse(top))),zero)) = join(complement(zero),join(complement(complement(converse(top))),zero)),
introduced(tautology,[refl,[$fot(join(complement(zero),join(complement(complement(converse(top))),zero)))]]) ).
cnf(refute_0_1403,plain,
( complement(zero) != top
| join(complement(zero),join(complement(complement(converse(top))),zero)) != join(complement(zero),join(complement(complement(converse(top))),zero))
| join(complement(zero),join(complement(complement(converse(top))),zero)) = join(top,join(complement(complement(converse(top))),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),join(complement(complement(converse(top))),zero)),join(complement(zero),join(complement(complement(converse(top))),zero))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1404,plain,
( complement(zero) != top
| join(complement(zero),join(complement(complement(converse(top))),zero)) = join(top,join(complement(complement(converse(top))),zero)) ),
inference(resolve,[$cnf( $equal(join(complement(zero),join(complement(complement(converse(top))),zero)),join(complement(zero),join(complement(complement(converse(top))),zero))) )],[refute_0_1402,refute_0_1403]) ).
cnf(refute_0_1405,plain,
join(complement(zero),join(complement(complement(converse(top))),zero)) = join(top,join(complement(complement(converse(top))),zero)),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_452,refute_0_1404]) ).
cnf(refute_0_1406,plain,
( join(complement(zero),join(complement(complement(converse(top))),zero)) != join(top,join(complement(complement(converse(top))),zero))
| join(top,join(complement(complement(converse(top))),zero)) != join(top,converse(top))
| join(complement(zero),join(complement(complement(converse(top))),zero)) = join(top,converse(top)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(zero),join(complement(complement(converse(top))),zero)))),bind(Y,$fot(join(top,join(complement(complement(converse(top))),zero)))),bind(Z,$fot(join(top,converse(top))))]]) ).
cnf(refute_0_1407,plain,
( join(top,join(complement(complement(converse(top))),zero)) != join(top,converse(top))
| join(complement(zero),join(complement(complement(converse(top))),zero)) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(zero),join(complement(complement(converse(top))),zero)),join(top,join(complement(complement(converse(top))),zero))) )],[refute_0_1405,refute_0_1406]) ).
cnf(refute_0_1408,plain,
join(complement(zero),join(complement(complement(converse(top))),zero)) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(join(top,join(complement(complement(converse(top))),zero)),join(top,converse(top))) )],[refute_0_1401,refute_0_1407]) ).
cnf(refute_0_1409,plain,
join(complement(complement(converse(top))),join(complement(zero),zero)) = join(complement(zero),join(complement(complement(converse(top))),zero)),
inference(subst,[],[refute_0_301:[bind(X_41,$fot(zero)),bind(X_42,$fot(complement(complement(converse(top))))),bind(X_43,$fot(complement(zero)))]]) ).
cnf(refute_0_1410,plain,
( join(complement(complement(converse(top))),join(complement(zero),zero)) != join(complement(zero),join(complement(complement(converse(top))),zero))
| join(complement(zero),join(complement(complement(converse(top))),zero)) != join(top,converse(top))
| join(complement(complement(converse(top))),join(complement(zero),zero)) = join(top,converse(top)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(complement(converse(top))),join(complement(zero),zero)))),bind(Y,$fot(join(complement(zero),join(complement(complement(converse(top))),zero)))),bind(Z,$fot(join(top,converse(top))))]]) ).
cnf(refute_0_1411,plain,
( join(complement(zero),join(complement(complement(converse(top))),zero)) != join(top,converse(top))
| join(complement(complement(converse(top))),join(complement(zero),zero)) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(top))),join(complement(zero),zero)),join(complement(zero),join(complement(complement(converse(top))),zero))) )],[refute_0_1409,refute_0_1410]) ).
cnf(refute_0_1412,plain,
join(complement(complement(converse(top))),join(complement(zero),zero)) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(join(complement(zero),join(complement(complement(converse(top))),zero)),join(top,converse(top))) )],[refute_0_1408,refute_0_1411]) ).
cnf(refute_0_1413,plain,
( join(complement(complement(converse(top))),join(complement(zero),zero)) != join(top,converse(top))
| join(complement(complement(converse(top))),join(complement(zero),zero)) != top
| join(top,converse(top)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(top))),join(complement(zero),zero)),top) ),[0],$fot(join(top,converse(top)))]]) ).
cnf(refute_0_1414,plain,
( join(complement(complement(converse(top))),join(complement(zero),zero)) != top
| join(top,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(top))),join(complement(zero),zero)),join(top,converse(top))) )],[refute_0_1412,refute_0_1413]) ).
cnf(refute_0_1415,plain,
join(top,converse(top)) = top,
inference(resolve,[$cnf( $equal(join(complement(complement(converse(top))),join(complement(zero),zero)),top) )],[refute_0_1392,refute_0_1414]) ).
cnf(refute_0_1416,plain,
( converse(join(converse(top),top)) != converse(join(top,converse(top)))
| join(top,converse(top)) != top
| converse(join(converse(top),top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),top)),converse(join(top,converse(top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1417,plain,
( converse(join(converse(top),top)) != converse(join(top,converse(top)))
| converse(join(converse(top),top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,converse(top)),top) )],[refute_0_1415,refute_0_1416]) ).
cnf(refute_0_1418,plain,
converse(join(converse(top),top)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(join(top,converse(top)))) )],[refute_0_1061,refute_0_1417]) ).
cnf(refute_0_1419,plain,
join(converse(top),top) = join(top,converse(top)),
inference(subst,[],[refute_0_1274:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1420,plain,
( join(converse(top),top) != join(top,converse(top))
| join(top,converse(top)) != top
| join(converse(top),top) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(converse(top),top))),bind(Y,$fot(join(top,converse(top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1421,plain,
( join(top,converse(top)) != top
| join(converse(top),top) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),top),join(top,converse(top))) )],[refute_0_1419,refute_0_1420]) ).
cnf(refute_0_1422,plain,
join(converse(top),top) = top,
inference(resolve,[$cnf( $equal(join(top,converse(top)),top) )],[refute_0_1415,refute_0_1421]) ).
cnf(refute_0_1423,plain,
converse(join(top,converse(top))) = join(converse(top),top),
inference(subst,[],[refute_0_817:[bind(X0,$fot(top)),bind(X_4,$fot(top))]]) ).
cnf(refute_0_1424,plain,
( converse(join(top,converse(top))) != join(converse(top),top)
| join(converse(top),top) != top
| converse(join(top,converse(top))) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(top,converse(top))))),bind(Y,$fot(join(converse(top),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1425,plain,
( join(converse(top),top) != top
| converse(join(top,converse(top))) = top ),
inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),join(converse(top),top)) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
converse(join(top,converse(top))) = top,
inference(resolve,[$cnf( $equal(join(converse(top),top),top) )],[refute_0_1422,refute_0_1425]) ).
cnf(refute_0_1427,plain,
( converse(join(converse(top),top)) != converse(join(top,converse(top)))
| converse(join(top,converse(top))) != top
| converse(join(converse(top),top)) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(converse(top),top)))),bind(Y,$fot(converse(join(top,converse(top))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1428,plain,
( converse(join(top,converse(top))) != top
| converse(join(converse(top),top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(join(top,converse(top)))) )],[refute_0_1061,refute_0_1427]) ).
cnf(refute_0_1429,plain,
converse(join(converse(top),top)) = top,
inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),top) )],[refute_0_1426,refute_0_1428]) ).
cnf(refute_0_1430,plain,
( converse(join(converse(top),top)) != converse(top)
| converse(join(converse(top),top)) != top
| top = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),top)),converse(top)) ),[0],$fot(top)]]) ).
cnf(refute_0_1431,plain,
( converse(join(converse(top),top)) != converse(top)
| top = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),top) )],[refute_0_1429,refute_0_1430]) ).
cnf(refute_0_1432,plain,
top = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(top)) )],[refute_0_1418,refute_0_1431]) ).
cnf(refute_0_1433,plain,
( top != converse(top)
| converse(top) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(converse(top)))]]) ).
cnf(refute_0_1434,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(top,converse(top)) )],[refute_0_1432,refute_0_1433]) ).
cnf(refute_0_1435,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_1436,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_1437,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_1435,refute_0_1436]) ).
cnf(refute_0_1438,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1434,refute_0_1437]) ).
cnf(refute_0_1439,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1440,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_1438,refute_0_1439]) ).
cnf(refute_0_1441,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_1440]) ).
cnf(refute_0_1442,plain,
join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))) = join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))))]]) ).
cnf(refute_0_1443,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))) != join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64)))))
| join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))) = join(zero,meet(complement(X_64),converse(complement(converse(X_64))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))),join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1444,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))) = join(zero,meet(complement(X_64),converse(complement(converse(X_64))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))),join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64)))))) )],[refute_0_1442,refute_0_1443]) ).
cnf(refute_0_1445,plain,
join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))) = join(zero,meet(complement(X_64),converse(complement(converse(X_64))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1441,refute_0_1444]) ).
cnf(refute_0_1446,plain,
( join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))) != join(zero,meet(complement(X_64),converse(complement(converse(X_64)))))
| join(zero,meet(complement(X_64),converse(complement(converse(X_64))))) != meet(complement(X_64),converse(complement(converse(X_64))))
| join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))) = meet(complement(X_64),converse(complement(converse(X_64)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))))),bind(Y,$fot(join(zero,meet(complement(X_64),converse(complement(converse(X_64))))))),bind(Z,$fot(meet(complement(X_64),converse(complement(converse(X_64))))))]]) ).
cnf(refute_0_1447,plain,
( join(zero,meet(complement(X_64),converse(complement(converse(X_64))))) != meet(complement(X_64),converse(complement(converse(X_64))))
| join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))) = meet(complement(X_64),converse(complement(converse(X_64)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))),join(zero,meet(complement(X_64),converse(complement(converse(X_64)))))) )],[refute_0_1445,refute_0_1446]) ).
cnf(refute_0_1448,plain,
join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))) = meet(complement(X_64),converse(complement(converse(X_64)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_64),converse(complement(converse(X_64))))),meet(complement(X_64),converse(complement(converse(X_64))))) )],[refute_0_1060,refute_0_1447]) ).
cnf(refute_0_1449,plain,
( complement(X_64) != join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64)))))
| join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))) != meet(complement(X_64),converse(complement(converse(X_64))))
| complement(X_64) = meet(complement(X_64),converse(complement(converse(X_64)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_64),meet(complement(X_64),converse(complement(converse(X_64))))) ),[0],$fot(join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))))]]) ).
cnf(refute_0_1450,plain,
( complement(X_64) != join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64)))))
| complement(X_64) = meet(complement(X_64),converse(complement(converse(X_64)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64))))),meet(complement(X_64),converse(complement(converse(X_64))))) )],[refute_0_1448,refute_0_1449]) ).
cnf(refute_0_1451,plain,
complement(X_64) = meet(complement(X_64),converse(complement(converse(X_64)))),
inference(resolve,[$cnf( $equal(complement(X_64),join(complement(converse(top)),meet(complement(X_64),converse(complement(converse(X_64)))))) )],[refute_0_1059,refute_0_1450]) ).
cnf(refute_0_1452,plain,
complement(X_194) = meet(complement(X_194),converse(complement(converse(X_194)))),
inference(subst,[],[refute_0_1451:[bind(X_64,$fot(X_194))]]) ).
cnf(refute_0_1453,plain,
( complement(X_194) != meet(complement(X_194),converse(complement(converse(X_194))))
| meet(complement(X_194),converse(complement(converse(X_194)))) = complement(X_194) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_194))),bind(Y,$fot(meet(complement(X_194),converse(complement(converse(X_194))))))]]) ).
cnf(refute_0_1454,plain,
meet(complement(X_194),converse(complement(converse(X_194)))) = complement(X_194),
inference(resolve,[$cnf( $equal(complement(X_194),meet(complement(X_194),converse(complement(converse(X_194))))) )],[refute_0_1452,refute_0_1453]) ).
cnf(refute_0_1455,plain,
( converse(complement(converse(X_194))) != join(meet(complement(X_194),converse(complement(converse(X_194)))),meet(converse(complement(converse(X_194))),complement(complement(X_194))))
| meet(complement(X_194),converse(complement(converse(X_194)))) != complement(X_194)
| converse(complement(converse(X_194))) = join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(X_194))),join(meet(complement(X_194),converse(complement(converse(X_194)))),meet(converse(complement(converse(X_194))),complement(complement(X_194))))) ),[1,0],$fot(complement(X_194))]]) ).
cnf(refute_0_1456,plain,
( converse(complement(converse(X_194))) != join(meet(complement(X_194),converse(complement(converse(X_194)))),meet(converse(complement(converse(X_194))),complement(complement(X_194))))
| converse(complement(converse(X_194))) = join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_194),converse(complement(converse(X_194)))),complement(X_194)) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
converse(complement(converse(X_194))) = join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_194))),join(meet(complement(X_194),converse(complement(converse(X_194)))),meet(converse(complement(converse(X_194))),complement(complement(X_194))))) )],[refute_0_1037,refute_0_1456]) ).
cnf(refute_0_1458,plain,
complement(complement(X_194)) = X_194,
inference(subst,[],[refute_0_479:[bind(X_64,$fot(X_194))]]) ).
cnf(refute_0_1459,plain,
meet(complement(complement(X_194)),converse(complement(converse(X_194)))) = meet(complement(complement(X_194)),converse(complement(converse(X_194)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_194)),converse(complement(converse(X_194)))))]]) ).
cnf(refute_0_1460,plain,
( complement(complement(X_194)) != X_194
| meet(complement(complement(X_194)),converse(complement(converse(X_194)))) != meet(complement(complement(X_194)),converse(complement(converse(X_194))))
| meet(complement(complement(X_194)),converse(complement(converse(X_194)))) = meet(X_194,converse(complement(converse(X_194)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_194)),converse(complement(converse(X_194)))),meet(complement(complement(X_194)),converse(complement(converse(X_194))))) ),[1,0],$fot(X_194)]]) ).
cnf(refute_0_1461,plain,
( complement(complement(X_194)) != X_194
| meet(complement(complement(X_194)),converse(complement(converse(X_194)))) = meet(X_194,converse(complement(converse(X_194)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_194)),converse(complement(converse(X_194)))),meet(complement(complement(X_194)),converse(complement(converse(X_194))))) )],[refute_0_1459,refute_0_1460]) ).
cnf(refute_0_1462,plain,
meet(complement(complement(X_194)),converse(complement(converse(X_194)))) = meet(X_194,converse(complement(converse(X_194)))),
inference(resolve,[$cnf( $equal(complement(complement(X_194)),X_194) )],[refute_0_1458,refute_0_1461]) ).
cnf(refute_0_1463,plain,
meet(converse(complement(converse(X_194))),complement(complement(X_194))) = meet(complement(complement(X_194)),converse(complement(converse(X_194)))),
inference(subst,[],[refute_0_238:[bind(X_25,$fot(complement(complement(X_194)))),bind(X_26,$fot(converse(complement(converse(X_194)))))]]) ).
cnf(refute_0_1464,plain,
( meet(complement(complement(X_194)),converse(complement(converse(X_194)))) != meet(X_194,converse(complement(converse(X_194))))
| meet(converse(complement(converse(X_194))),complement(complement(X_194))) != meet(complement(complement(X_194)),converse(complement(converse(X_194))))
| meet(converse(complement(converse(X_194))),complement(complement(X_194))) = meet(X_194,converse(complement(converse(X_194)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(converse(complement(converse(X_194))),complement(complement(X_194))))),bind(Y,$fot(meet(complement(complement(X_194)),converse(complement(converse(X_194)))))),bind(Z,$fot(meet(X_194,converse(complement(converse(X_194))))))]]) ).
cnf(refute_0_1465,plain,
( meet(complement(complement(X_194)),converse(complement(converse(X_194)))) != meet(X_194,converse(complement(converse(X_194))))
| meet(converse(complement(converse(X_194))),complement(complement(X_194))) = meet(X_194,converse(complement(converse(X_194)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(X_194))),complement(complement(X_194))),meet(complement(complement(X_194)),converse(complement(converse(X_194))))) )],[refute_0_1463,refute_0_1464]) ).
cnf(refute_0_1466,plain,
meet(converse(complement(converse(X_194))),complement(complement(X_194))) = meet(X_194,converse(complement(converse(X_194)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_194)),converse(complement(converse(X_194)))),meet(X_194,converse(complement(converse(X_194))))) )],[refute_0_1462,refute_0_1465]) ).
cnf(refute_0_1467,plain,
join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))) = join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))),
introduced(tautology,[refl,[$fot(join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))))]]) ).
cnf(refute_0_1468,plain,
( join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))) != join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194))))
| meet(converse(complement(converse(X_194))),complement(complement(X_194))) != meet(X_194,converse(complement(converse(X_194))))
| join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))) = join(complement(X_194),meet(X_194,converse(complement(converse(X_194))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))),join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194))))) ),[1,1],$fot(meet(X_194,converse(complement(converse(X_194)))))]]) ).
cnf(refute_0_1469,plain,
( meet(converse(complement(converse(X_194))),complement(complement(X_194))) != meet(X_194,converse(complement(converse(X_194))))
| join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))) = join(complement(X_194),meet(X_194,converse(complement(converse(X_194))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))),join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194))))) )],[refute_0_1467,refute_0_1468]) ).
cnf(refute_0_1470,plain,
join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))) = join(complement(X_194),meet(X_194,converse(complement(converse(X_194))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(X_194))),complement(complement(X_194))),meet(X_194,converse(complement(converse(X_194))))) )],[refute_0_1466,refute_0_1469]) ).
cnf(refute_0_1471,plain,
( converse(complement(converse(X_194))) != join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194))))
| join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))) != join(complement(X_194),meet(X_194,converse(complement(converse(X_194)))))
| converse(complement(converse(X_194))) = join(complement(X_194),meet(X_194,converse(complement(converse(X_194))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_194))),join(complement(X_194),meet(X_194,converse(complement(converse(X_194)))))) ),[0],$fot(join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))))]]) ).
cnf(refute_0_1472,plain,
( converse(complement(converse(X_194))) != join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194))))
| converse(complement(converse(X_194))) = join(complement(X_194),meet(X_194,converse(complement(converse(X_194))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194)))),join(complement(X_194),meet(X_194,converse(complement(converse(X_194)))))) )],[refute_0_1470,refute_0_1471]) ).
cnf(refute_0_1473,plain,
converse(complement(converse(X_194))) = join(complement(X_194),meet(X_194,converse(complement(converse(X_194))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_194))),join(complement(X_194),meet(converse(complement(converse(X_194))),complement(complement(X_194))))) )],[refute_0_1457,refute_0_1472]) ).
cnf(refute_0_1474,plain,
converse(complement(converse(skolemFOFtoCNF_X1))) = join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))),
inference(subst,[],[refute_0_1473:[bind(X_194,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1475,plain,
( converse(complement(converse(skolemFOFtoCNF_X1))) != join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1)))))
| join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))) = converse(complement(converse(skolemFOFtoCNF_X1))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(converse(skolemFOFtoCNF_X1))))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1)))))))]]) ).
cnf(refute_0_1476,plain,
join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))) = converse(complement(converse(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X1))),join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1)))))) )],[refute_0_1474,refute_0_1475]) ).
cnf(refute_0_1477,plain,
( converse(skolemFOFtoCNF_X0) != meet(converse(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))))
| join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))) != converse(complement(converse(skolemFOFtoCNF_X1)))
| converse(skolemFOFtoCNF_X0) = meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))))) ),[1,1],$fot(converse(complement(converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1478,plain,
( converse(skolemFOFtoCNF_X0) != meet(converse(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))))
| converse(skolemFOFtoCNF_X0) = meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))),converse(complement(converse(skolemFOFtoCNF_X1)))) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
converse(skolemFOFtoCNF_X0) = meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))))) )],[refute_0_1036,refute_0_1478]) ).
cnf(refute_0_1480,plain,
( converse(skolemFOFtoCNF_X0) != meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1))))
| meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1)))) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(skolemFOFtoCNF_X0))),bind(Y,$fot(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_1481,plain,
meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1)))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1))))) )],[refute_0_1479,refute_0_1480]) ).
cnf(refute_0_1482,plain,
( converse(complement(converse(skolemFOFtoCNF_X1))) != join(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1)))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))
| meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1)))) != converse(skolemFOFtoCNF_X0)
| converse(complement(converse(skolemFOFtoCNF_X1))) = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X1))),join(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1)))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1483,plain,
( converse(complement(converse(skolemFOFtoCNF_X1))) != join(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1)))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))
| converse(complement(converse(skolemFOFtoCNF_X1))) = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0)) )],[refute_0_1481,refute_0_1482]) ).
cnf(refute_0_1484,plain,
converse(complement(converse(skolemFOFtoCNF_X1))) = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X1))),join(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(skolemFOFtoCNF_X1)))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) )],[refute_0_1026,refute_0_1483]) ).
cnf(refute_0_1485,plain,
( converse(complement(converse(skolemFOFtoCNF_X1))) != join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))
| join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) = converse(complement(converse(skolemFOFtoCNF_X1))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(converse(skolemFOFtoCNF_X1))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))))]]) ).
cnf(refute_0_1486,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) = converse(complement(converse(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X1))),join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
( converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))
| join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) != converse(complement(converse(skolemFOFtoCNF_X1)))
| converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) = converse(converse(complement(converse(skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))) ),[1,0],$fot(converse(complement(converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1488,plain,
( converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))
| converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) = converse(converse(complement(converse(skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))),converse(complement(converse(skolemFOFtoCNF_X1)))) )],[refute_0_1486,refute_0_1487]) ).
cnf(refute_0_1489,plain,
converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) = converse(converse(complement(converse(skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))) )],[refute_0_1012,refute_0_1488]) ).
cnf(refute_0_1490,plain,
converse(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),
inference(subst,[],[refute_0_96:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_5,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_1491,plain,
( converse(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) != join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))
| converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))
| converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))))]]) ).
cnf(refute_0_1492,plain,
( converse(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) != join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))
| converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))) )],[refute_0_1012,refute_0_1491]) ).
cnf(refute_0_1493,plain,
converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))) )],[refute_0_1490,refute_0_1492]) ).
cnf(refute_0_1494,plain,
( converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) != converse(converse(complement(converse(skolemFOFtoCNF_X1))))
| converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = converse(converse(complement(converse(skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))),converse(converse(complement(converse(skolemFOFtoCNF_X1))))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))))]]) ).
cnf(refute_0_1495,plain,
( converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) != converse(converse(complement(converse(skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = converse(converse(complement(converse(skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))) )],[refute_0_1493,refute_0_1494]) ).
cnf(refute_0_1496,plain,
converse(converse(complement(converse(skolemFOFtoCNF_X1)))) = complement(converse(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_30:[bind(X0,$fot(complement(converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1497,plain,
( converse(converse(complement(converse(skolemFOFtoCNF_X1)))) != complement(converse(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) != converse(converse(complement(converse(skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = complement(converse(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),converse(converse(complement(converse(skolemFOFtoCNF_X1))))) ),[1],$fot(complement(converse(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1498,plain,
( join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) != converse(converse(complement(converse(skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = complement(converse(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(skolemFOFtoCNF_X1)))),complement(converse(skolemFOFtoCNF_X1))) )],[refute_0_1496,refute_0_1497]) ).
cnf(refute_0_1499,plain,
( converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))) != converse(converse(complement(converse(skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = complement(converse(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),converse(converse(complement(converse(skolemFOFtoCNF_X1))))) )],[refute_0_1495,refute_0_1498]) ).
cnf(refute_0_1500,plain,
join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = complement(converse(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),converse(skolemFOFtoCNF_X0))),converse(converse(complement(converse(skolemFOFtoCNF_X1))))) )],[refute_0_1489,refute_0_1499]) ).
cnf(refute_0_1501,plain,
meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) = join(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_375:[bind(X_64,$fot(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),bind(X_65,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1502,plain,
meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = complement(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_359:[bind(X_64,$fot(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1503,plain,
converse(converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_30:[bind(X0,$fot(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1504,plain,
join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),X_137)) = join(join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),X_137),
inference(subst,[],[refute_0_269:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),bind(X2,$fot(X_137))]]) ).
cnf(refute_0_1505,plain,
converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_264:[bind(X0,$fot(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1506,plain,
complement(skolemFOFtoCNF_X1) = join(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_1018:[bind(X_71,$fot(converse(skolemFOFtoCNF_X0))),bind(X_72,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1507,plain,
( complement(skolemFOFtoCNF_X1) != join(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))
| meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| complement(skolemFOFtoCNF_X1) = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1508,plain,
( complement(skolemFOFtoCNF_X1) != join(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))
| complement(skolemFOFtoCNF_X1) = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) )],[refute_0_704,refute_0_1507]) ).
cnf(refute_0_1509,plain,
complement(skolemFOFtoCNF_X1) = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(meet(complement(skolemFOFtoCNF_X1),converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))) )],[refute_0_1506,refute_0_1508]) ).
cnf(refute_0_1510,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) = meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_238:[bind(X_25,$fot(complement(skolemFOFtoCNF_X1))),bind(X_26,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1511,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1512,plain,
( join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) != join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))
| meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) != meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))
| join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) = join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))),join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1513,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) != meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))
| join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) = join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))),join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))) )],[refute_0_1511,refute_0_1512]) ).
cnf(refute_0_1514,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) = join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1510,refute_0_1513]) ).
cnf(refute_0_1515,plain,
( complement(skolemFOFtoCNF_X1) != join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))
| join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) != join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))
| complement(skolemFOFtoCNF_X1) = join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X1),join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1516,plain,
( complement(skolemFOFtoCNF_X1) != join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))
| complement(skolemFOFtoCNF_X1) = join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))),join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_1514,refute_0_1515]) ).
cnf(refute_0_1517,plain,
complement(skolemFOFtoCNF_X1) = join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))) )],[refute_0_1509,refute_0_1516]) ).
cnf(refute_0_1518,plain,
( complement(skolemFOFtoCNF_X1) != join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))
| join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(skolemFOFtoCNF_X1))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1519,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_1517,refute_0_1518]) ).
cnf(refute_0_1520,plain,
( converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X1)
| converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1521,plain,
( converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X1)) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1505,refute_0_1521]) ).
cnf(refute_0_1523,plain,
converse(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_96:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_5,$fot(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1524,plain,
( converse(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1525,plain,
( converse(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1505,refute_0_1524]) ).
cnf(refute_0_1526,plain,
converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1523,refute_0_1525]) ).
cnf(refute_0_1527,plain,
( converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X1))
| converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = converse(complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X1))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1528,plain,
( converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = converse(complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1526,refute_0_1527]) ).
cnf(refute_0_1529,plain,
join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = converse(complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_1522,refute_0_1528]) ).
cnf(refute_0_1530,plain,
( join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != converse(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),X_137)) != join(join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),X_137)
| join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),X_137)) = join(converse(complement(skolemFOFtoCNF_X1)),X_137) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),X_137)),join(join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),X_137)) ),[1,0],$fot(converse(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1531,plain,
( join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),X_137)) != join(join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),X_137)
| join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),X_137)) = join(converse(complement(skolemFOFtoCNF_X1)),X_137) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),X_137)) = join(converse(complement(skolemFOFtoCNF_X1)),X_137),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),X_137)),join(join(skolemFOFtoCNF_X0,converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),X_137)) )],[refute_0_1504,refute_0_1531]) ).
cnf(refute_0_1533,plain,
join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) = join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_1532:[bind(X_137,$fot(converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_1534,plain,
( converse(top) != join(X_22,converse(complement(converse(X_22))))
| converse(top) != top
| top = join(X_22,converse(complement(converse(X_22)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_22,converse(complement(converse(X_22))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1535,plain,
( converse(top) != join(X_22,converse(complement(converse(X_22))))
| top = join(X_22,converse(complement(converse(X_22)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1434,refute_0_1534]) ).
cnf(refute_0_1536,plain,
top = join(X_22,converse(complement(converse(X_22)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_22,converse(complement(converse(X_22))))) )],[refute_0_1045,refute_0_1535]) ).
cnf(refute_0_1537,plain,
top = join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_1536:[bind(X_22,$fot(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1538,plain,
( top != join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))
| join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_1539,plain,
join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_1537,refute_0_1538]) ).
cnf(refute_0_1540,plain,
( join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) != top
| join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) != join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,top) = join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))),join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1541,plain,
( join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) != join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,top) = join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),top) )],[refute_0_1539,refute_0_1540]) ).
cnf(refute_0_1542,plain,
join(skolemFOFtoCNF_X0,top) = join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))),join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_1533,refute_0_1541]) ).
cnf(refute_0_1543,plain,
join(skolemFOFtoCNF_X0,top) = top,
inference(subst,[],[refute_0_559:[bind(X_126,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1544,plain,
( join(skolemFOFtoCNF_X0,top) != join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,top) != top
| top = join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1545,plain,
( join(skolemFOFtoCNF_X0,top) != join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))
| top = join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),top) )],[refute_0_1543,refute_0_1544]) ).
cnf(refute_0_1546,plain,
converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_30:[bind(X0,$fot(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1547,plain,
meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1548,plain,
( converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1549,plain,
( converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1547,refute_0_1548]) ).
cnf(refute_0_1550,plain,
meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1546,refute_0_1549]) ).
cnf(refute_0_1551,plain,
complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) = complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1552,plain,
( complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) != complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))
| meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))
| complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))),complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1553,plain,
( meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))
| complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))),complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1551,refute_0_1552]) ).
cnf(refute_0_1554,plain,
complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_1550,refute_0_1553]) ).
cnf(refute_0_1555,plain,
join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) = complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_546:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1556,plain,
( complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) != complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) != complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1557,plain,
( complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) != complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))),complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1555,refute_0_1556]) ).
cnf(refute_0_1558,plain,
join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X1,converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))),complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1554,refute_0_1557]) ).
cnf(refute_0_1559,plain,
converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_1560,plain,
( converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) != converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) != complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) = converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1561,plain,
( join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) != complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) = converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_1559,refute_0_1560]) ).
cnf(refute_0_1562,plain,
converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) = converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))),complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1558,refute_0_1561]) ).
cnf(refute_0_1563,plain,
join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_260:[bind(X0,$fot(complement(skolemFOFtoCNF_X1))),bind(X1,$fot(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1564,plain,
( converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) != converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) != converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))
| join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) = converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1565,plain,
( converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) != converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) = converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_1563,refute_0_1564]) ).
cnf(refute_0_1566,plain,
join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) = converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X1),complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1562,refute_0_1565]) ).
cnf(refute_0_1567,plain,
( join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))) != converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| top != join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))
| top = converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) ),[1],$fot(converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1568,plain,
( top != join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))
| top = converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1566,refute_0_1567]) ).
cnf(refute_0_1569,plain,
( join(skolemFOFtoCNF_X0,top) != join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))
| top = converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(top,join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_1545,refute_0_1568]) ).
cnf(refute_0_1570,plain,
top = converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),join(converse(complement(skolemFOFtoCNF_X1)),converse(complement(converse(converse(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_1542,refute_0_1569]) ).
cnf(refute_0_1571,plain,
( top != converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1572,plain,
converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = top,
inference(resolve,[$cnf( $equal(top,converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1570,refute_0_1571]) ).
cnf(refute_0_1573,plain,
( converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) != top
| converse(converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) != complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| converse(top) = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))),complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1574,plain,
( converse(converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) != complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| converse(top) = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),top) )],[refute_0_1572,refute_0_1573]) ).
cnf(refute_0_1575,plain,
converse(top) = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(converse(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))),complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1503,refute_0_1574]) ).
cnf(refute_0_1576,plain,
( converse(top) != complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| converse(top) != top
| top = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1577,plain,
( converse(top) != complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| top = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1434,refute_0_1576]) ).
cnf(refute_0_1578,plain,
top = complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(top),complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1575,refute_0_1577]) ).
cnf(refute_0_1579,plain,
( top != complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1580,plain,
complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1578,refute_0_1579]) ).
cnf(refute_0_1581,plain,
( complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != top
| meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != complement(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),complement(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1582,plain,
( meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != complement(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),top) )],[refute_0_1580,refute_0_1581]) ).
cnf(refute_0_1583,plain,
meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = complement(top),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),complement(complement(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1502,refute_0_1582]) ).
cnf(refute_0_1584,plain,
( complement(top) != zero
| meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != complement(top)
| meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1585,plain,
( meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != complement(top)
| meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_1584]) ).
cnf(refute_0_1586,plain,
meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),complement(top)) )],[refute_0_1583,refute_0_1585]) ).
cnf(refute_0_1587,plain,
( meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) != join(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)))
| meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != zero
| meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) = join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),join(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1588,plain,
( meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) != join(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)))
| meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) = join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_1586,refute_0_1587]) ).
cnf(refute_0_1589,plain,
meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) = join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),join(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)))) )],[refute_0_1501,refute_0_1588]) ).
cnf(refute_0_1590,plain,
join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1) = join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1591,plain,
complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)) = complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)),
introduced(tautology,[refl,[$fot(complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1592,plain,
( complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)) != complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))
| join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1) != join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)) = complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)),complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))) ),[1,0],$fot(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1593,plain,
( join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1) != join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)) = complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)),complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))) )],[refute_0_1591,refute_0_1592]) ).
cnf(refute_0_1594,plain,
complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)) = complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1),join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1590,refute_0_1593]) ).
cnf(refute_0_1595,plain,
join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))) = complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_641:[bind(X_64,$fot(complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1596,plain,
( complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)) != complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))) != complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))
| join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))) = complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))))),bind(Y,$fot(complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)))),bind(Z,$fot(complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1597,plain,
( complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)) != complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))) = complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))),complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))) )],[refute_0_1595,refute_0_1596]) ).
cnf(refute_0_1598,plain,
join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))) = complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1594,refute_0_1597]) ).
cnf(refute_0_1599,plain,
( join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))) != complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) != join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)))
| meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)))) ),[1],$fot(complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1600,plain,
( meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) != join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)))
| meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),join(zero,complement(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X1)))) )],[refute_0_1589,refute_0_1600]) ).
cnf(refute_0_1602,plain,
composition(join(X0,X1),join(one,one)) = join(composition(X0,join(one,one)),composition(X1,join(one,one))),
inference(subst,[],[refute_0_35:[bind(X2,$fot(join(one,one)))]]) ).
cnf(refute_0_1603,plain,
( join(X0,X0) != composition(X0,join(one,one))
| composition(X0,join(one,one)) = join(X0,X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,X0))),bind(Y,$fot(composition(X0,join(one,one))))]]) ).
cnf(refute_0_1604,plain,
composition(X0,join(one,one)) = join(X0,X0),
inference(resolve,[$cnf( $equal(join(X0,X0),composition(X0,join(one,one))) )],[refute_0_118,refute_0_1603]) ).
cnf(refute_0_1605,plain,
( composition(X0,join(one,one)) != join(X0,X0)
| composition(join(X0,X1),join(one,one)) != join(composition(X0,join(one,one)),composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(join(X0,X0),composition(X1,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(composition(X0,join(one,one)),composition(X1,join(one,one)))) ),[1,0],$fot(join(X0,X0))]]) ).
cnf(refute_0_1606,plain,
( composition(join(X0,X1),join(one,one)) != join(composition(X0,join(one,one)),composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(join(X0,X0),composition(X1,join(one,one))) ),
inference(resolve,[$cnf( $equal(composition(X0,join(one,one)),join(X0,X0)) )],[refute_0_1604,refute_0_1605]) ).
cnf(refute_0_1607,plain,
composition(join(X0,X1),join(one,one)) = join(join(X0,X0),composition(X1,join(one,one))),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(composition(X0,join(one,one)),composition(X1,join(one,one)))) )],[refute_0_1602,refute_0_1606]) ).
cnf(refute_0_1608,plain,
join(join(X0,X0),composition(X1,join(one,one))) = join(X0,join(X0,composition(X1,join(one,one)))),
inference(subst,[],[refute_0_271:[bind(X1,$fot(X0)),bind(X2,$fot(composition(X1,join(one,one))))]]) ).
cnf(refute_0_1609,plain,
( composition(join(X0,X1),join(one,one)) != join(join(X0,X0),composition(X1,join(one,one)))
| join(join(X0,X0),composition(X1,join(one,one))) != join(X0,join(X0,composition(X1,join(one,one))))
| composition(join(X0,X1),join(one,one)) = join(X0,join(X0,composition(X1,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,X1),join(one,one)),join(X0,join(X0,composition(X1,join(one,one))))) ),[0],$fot(join(join(X0,X0),composition(X1,join(one,one))))]]) ).
cnf(refute_0_1610,plain,
( composition(join(X0,X1),join(one,one)) != join(join(X0,X0),composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(X0,join(X0,composition(X1,join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X0),composition(X1,join(one,one))),join(X0,join(X0,composition(X1,join(one,one))))) )],[refute_0_1608,refute_0_1609]) ).
cnf(refute_0_1611,plain,
composition(join(X0,X1),join(one,one)) = join(X0,join(X0,composition(X1,join(one,one)))),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(join(X0,X0),composition(X1,join(one,one)))) )],[refute_0_1607,refute_0_1610]) ).
cnf(refute_0_1612,plain,
complement(complement(X_84)) = composition(complement(complement(X_84)),join(one,one)),
inference(subst,[],[refute_0_161:[bind(X_59,$fot(complement(X_84)))]]) ).
cnf(refute_0_1613,plain,
X_84 = complement(complement(X_84)),
inference(subst,[],[refute_0_359:[bind(X_64,$fot(X_84))]]) ).
cnf(refute_0_1614,plain,
( X_84 != complement(complement(X_84))
| complement(complement(X_84)) = X_84 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_84)),bind(Y,$fot(complement(complement(X_84))))]]) ).
cnf(refute_0_1615,plain,
complement(complement(X_84)) = X_84,
inference(resolve,[$cnf( $equal(X_84,complement(complement(X_84))) )],[refute_0_1613,refute_0_1614]) ).
cnf(refute_0_1616,plain,
( complement(complement(X_84)) != X_84
| complement(complement(X_84)) != composition(complement(complement(X_84)),join(one,one))
| complement(complement(X_84)) = composition(X_84,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_84)),composition(complement(complement(X_84)),join(one,one))) ),[1,0],$fot(X_84)]]) ).
cnf(refute_0_1617,plain,
( complement(complement(X_84)) != composition(complement(complement(X_84)),join(one,one))
| complement(complement(X_84)) = composition(X_84,join(one,one)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_84)),X_84) )],[refute_0_1615,refute_0_1616]) ).
cnf(refute_0_1618,plain,
complement(complement(X_84)) = composition(X_84,join(one,one)),
inference(resolve,[$cnf( $equal(complement(complement(X_84)),composition(complement(complement(X_84)),join(one,one))) )],[refute_0_1612,refute_0_1617]) ).
cnf(refute_0_1619,plain,
( complement(complement(X_84)) != X_84
| complement(complement(X_84)) != composition(X_84,join(one,one))
| X_84 = composition(X_84,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_84)),composition(X_84,join(one,one))) ),[0],$fot(X_84)]]) ).
cnf(refute_0_1620,plain,
( complement(complement(X_84)) != composition(X_84,join(one,one))
| X_84 = composition(X_84,join(one,one)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_84)),X_84) )],[refute_0_1615,refute_0_1619]) ).
cnf(refute_0_1621,plain,
X_84 = composition(X_84,join(one,one)),
inference(resolve,[$cnf( $equal(complement(complement(X_84)),composition(X_84,join(one,one))) )],[refute_0_1618,refute_0_1620]) ).
cnf(refute_0_1622,plain,
( X_84 != composition(X_84,join(one,one))
| composition(X_84,join(one,one)) = X_84 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_84)),bind(Y,$fot(composition(X_84,join(one,one))))]]) ).
cnf(refute_0_1623,plain,
composition(X_84,join(one,one)) = X_84,
inference(resolve,[$cnf( $equal(X_84,composition(X_84,join(one,one))) )],[refute_0_1621,refute_0_1622]) ).
cnf(refute_0_1624,plain,
composition(join(X0,X1),join(one,one)) = join(X0,X1),
inference(subst,[],[refute_0_1623:[bind(X_84,$fot(join(X0,X1)))]]) ).
cnf(refute_0_1625,plain,
( composition(join(X0,X1),join(one,one)) != join(X0,X1)
| composition(join(X0,X1),join(one,one)) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,X1) = join(X0,join(X0,composition(X1,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(X0,join(X0,composition(X1,join(one,one))))) ),[0],$fot(join(X0,X1))]]) ).
cnf(refute_0_1626,plain,
( composition(join(X0,X1),join(one,one)) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,X1) = join(X0,join(X0,composition(X1,join(one,one)))) ),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(X0,X1)) )],[refute_0_1624,refute_0_1625]) ).
cnf(refute_0_1627,plain,
composition(X1,join(one,one)) = X1,
inference(subst,[],[refute_0_1623:[bind(X_84,$fot(X1))]]) ).
cnf(refute_0_1628,plain,
join(X0,composition(X1,join(one,one))) = join(X0,composition(X1,join(one,one))),
introduced(tautology,[refl,[$fot(join(X0,composition(X1,join(one,one))))]]) ).
cnf(refute_0_1629,plain,
( composition(X1,join(one,one)) != X1
| join(X0,composition(X1,join(one,one))) != join(X0,composition(X1,join(one,one)))
| join(X0,composition(X1,join(one,one))) = join(X0,X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,composition(X1,join(one,one))),join(X0,composition(X1,join(one,one)))) ),[1,1],$fot(X1)]]) ).
cnf(refute_0_1630,plain,
( composition(X1,join(one,one)) != X1
| join(X0,composition(X1,join(one,one))) = join(X0,X1) ),
inference(resolve,[$cnf( $equal(join(X0,composition(X1,join(one,one))),join(X0,composition(X1,join(one,one)))) )],[refute_0_1628,refute_0_1629]) ).
cnf(refute_0_1631,plain,
join(X0,composition(X1,join(one,one))) = join(X0,X1),
inference(resolve,[$cnf( $equal(composition(X1,join(one,one)),X1) )],[refute_0_1627,refute_0_1630]) ).
cnf(refute_0_1632,plain,
join(X0,join(X0,composition(X1,join(one,one)))) = join(X0,join(X0,composition(X1,join(one,one)))),
introduced(tautology,[refl,[$fot(join(X0,join(X0,composition(X1,join(one,one)))))]]) ).
cnf(refute_0_1633,plain,
( join(X0,composition(X1,join(one,one))) != join(X0,X1)
| join(X0,join(X0,composition(X1,join(one,one)))) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,join(X0,composition(X1,join(one,one)))) = join(X0,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X0,composition(X1,join(one,one)))),join(X0,join(X0,composition(X1,join(one,one))))) ),[1,1],$fot(join(X0,X1))]]) ).
cnf(refute_0_1634,plain,
( join(X0,composition(X1,join(one,one))) != join(X0,X1)
| join(X0,join(X0,composition(X1,join(one,one)))) = join(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X0,composition(X1,join(one,one)))),join(X0,join(X0,composition(X1,join(one,one))))) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
join(X0,join(X0,composition(X1,join(one,one)))) = join(X0,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,composition(X1,join(one,one))),join(X0,X1)) )],[refute_0_1631,refute_0_1634]) ).
cnf(refute_0_1636,plain,
( join(X0,X1) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,join(X0,composition(X1,join(one,one)))) != join(X0,join(X0,X1))
| join(X0,X1) = join(X0,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,X1),join(X0,join(X0,X1))) ),[0],$fot(join(X0,join(X0,composition(X1,join(one,one)))))]]) ).
cnf(refute_0_1637,plain,
( join(X0,X1) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,X1) = join(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X0,composition(X1,join(one,one)))),join(X0,join(X0,X1))) )],[refute_0_1635,refute_0_1636]) ).
cnf(refute_0_1638,plain,
( composition(join(X0,X1),join(one,one)) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,X1) = join(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X0,join(X0,composition(X1,join(one,one))))) )],[refute_0_1626,refute_0_1637]) ).
cnf(refute_0_1639,plain,
join(X0,X1) = join(X0,join(X0,X1)),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(X0,join(X0,composition(X1,join(one,one))))) )],[refute_0_1611,refute_0_1638]) ).
cnf(refute_0_1640,plain,
( join(X0,X1) != join(X0,join(X0,X1))
| join(X0,join(X0,X1)) = join(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X0,join(X0,X1))))]]) ).
cnf(refute_0_1641,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X0,join(X0,X1))) )],[refute_0_1639,refute_0_1640]) ).
cnf(refute_0_1642,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1641:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1643,plain,
complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_375:[bind(X_64,$fot(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),bind(X_65,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1644,plain,
X_64 = join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(join(complement(X_64),join(complement(X_109),meet(X_64,X_109))))),
inference(subst,[],[refute_0_375:[bind(X_65,$fot(join(complement(X_109),meet(X_64,X_109))))]]) ).
cnf(refute_0_1645,plain,
top = join(complement(X_64),join(complement(X_109),meet(X_64,X_109))),
inference(subst,[],[refute_0_517:[bind(X_25,$fot(X_64)),bind(X_26,$fot(X_109))]]) ).
cnf(refute_0_1646,plain,
( top != join(complement(X_64),join(complement(X_109),meet(X_64,X_109)))
| join(complement(X_64),join(complement(X_109),meet(X_64,X_109))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_64),join(complement(X_109),meet(X_64,X_109)))))]]) ).
cnf(refute_0_1647,plain,
join(complement(X_64),join(complement(X_109),meet(X_64,X_109))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_64),join(complement(X_109),meet(X_64,X_109)))) )],[refute_0_1645,refute_0_1646]) ).
cnf(refute_0_1648,plain,
( X_64 != join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(join(complement(X_64),join(complement(X_109),meet(X_64,X_109)))))
| join(complement(X_64),join(complement(X_109),meet(X_64,X_109))) != top
| X_64 = join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_64,join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(join(complement(X_64),join(complement(X_109),meet(X_64,X_109)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1649,plain,
( X_64 != join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(join(complement(X_64),join(complement(X_109),meet(X_64,X_109)))))
| X_64 = join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),join(complement(X_109),meet(X_64,X_109))),top) )],[refute_0_1647,refute_0_1648]) ).
cnf(refute_0_1650,plain,
X_64 = join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)),
inference(resolve,[$cnf( $equal(X_64,join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(join(complement(X_64),join(complement(X_109),meet(X_64,X_109)))))) )],[refute_0_1644,refute_0_1649]) ).
cnf(refute_0_1651,plain,
join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109)))) = meet(X_64,join(complement(X_109),meet(X_64,X_109))),
inference(subst,[],[refute_0_641:[bind(X_64,$fot(meet(X_64,join(complement(X_109),meet(X_64,X_109)))))]]) ).
cnf(refute_0_1652,plain,
meet(join(complement(X_109),meet(X_64,X_109)),X_64) = meet(X_64,join(complement(X_109),meet(X_64,X_109))),
inference(subst,[],[refute_0_238:[bind(X_25,$fot(X_64)),bind(X_26,$fot(join(complement(X_109),meet(X_64,X_109))))]]) ).
cnf(refute_0_1653,plain,
join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)))]]) ).
cnf(refute_0_1654,plain,
( join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)) != join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64))
| meet(join(complement(X_109),meet(X_64,X_109)),X_64) != meet(X_64,join(complement(X_109),meet(X_64,X_109)))
| join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)),join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64))) ),[1,1],$fot(meet(X_64,join(complement(X_109),meet(X_64,X_109))))]]) ).
cnf(refute_0_1655,plain,
( meet(join(complement(X_109),meet(X_64,X_109)),X_64) != meet(X_64,join(complement(X_109),meet(X_64,X_109)))
| join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)),join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64))) )],[refute_0_1653,refute_0_1654]) ).
cnf(refute_0_1656,plain,
join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_109),meet(X_64,X_109)),X_64),meet(X_64,join(complement(X_109),meet(X_64,X_109)))) )],[refute_0_1652,refute_0_1655]) ).
cnf(refute_0_1657,plain,
join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)))]]) ).
cnf(refute_0_1658,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) != join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64))
| join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)),join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1659,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)),join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64))) )],[refute_0_1657,refute_0_1658]) ).
cnf(refute_0_1660,plain,
join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_1659]) ).
cnf(refute_0_1661,plain,
( join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) != join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64))
| join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)) != join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109))))
| join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)))),bind(Y,$fot(join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)))),bind(Z,$fot(join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109))))))]]) ).
cnf(refute_0_1662,plain,
( join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)) != join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109))))
| join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)),join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64))) )],[refute_0_1660,refute_0_1661]) ).
cnf(refute_0_1663,plain,
join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109)))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_109),meet(X_64,X_109)),X_64)),join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109))))) )],[refute_0_1656,refute_0_1662]) ).
cnf(refute_0_1664,plain,
( join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) != join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109))))
| join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109)))) != meet(X_64,join(complement(X_109),meet(X_64,X_109)))
| join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = meet(X_64,join(complement(X_109),meet(X_64,X_109))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)))),bind(Y,$fot(join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109)))))),bind(Z,$fot(meet(X_64,join(complement(X_109),meet(X_64,X_109)))))]]) ).
cnf(refute_0_1665,plain,
( join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109)))) != meet(X_64,join(complement(X_109),meet(X_64,X_109)))
| join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = meet(X_64,join(complement(X_109),meet(X_64,X_109))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)),join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109))))) )],[refute_0_1663,refute_0_1664]) ).
cnf(refute_0_1666,plain,
join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) = meet(X_64,join(complement(X_109),meet(X_64,X_109))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_64,join(complement(X_109),meet(X_64,X_109)))),meet(X_64,join(complement(X_109),meet(X_64,X_109)))) )],[refute_0_1651,refute_0_1665]) ).
cnf(refute_0_1667,plain,
join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)) = join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(complement(X_109),meet(X_64,X_109)),X_64)))]]) ).
cnf(refute_0_1668,plain,
( join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) != meet(X_64,join(complement(X_109),meet(X_64,X_109)))
| join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)) != join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64))
| join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)) = meet(X_64,join(complement(X_109),meet(X_64,X_109))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)))),bind(Z,$fot(meet(X_64,join(complement(X_109),meet(X_64,X_109)))))]]) ).
cnf(refute_0_1669,plain,
( join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)) != meet(X_64,join(complement(X_109),meet(X_64,X_109)))
| join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)) = meet(X_64,join(complement(X_109),meet(X_64,X_109))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)),join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64))) )],[refute_0_1667,refute_0_1668]) ).
cnf(refute_0_1670,plain,
join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)) = meet(X_64,join(complement(X_109),meet(X_64,X_109))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(X_109),meet(X_64,X_109)),X_64)),meet(X_64,join(complement(X_109),meet(X_64,X_109)))) )],[refute_0_1666,refute_0_1669]) ).
cnf(refute_0_1671,plain,
( X_64 != join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top))
| join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)) != meet(X_64,join(complement(X_109),meet(X_64,X_109)))
| X_64 = meet(X_64,join(complement(X_109),meet(X_64,X_109))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,meet(X_64,join(complement(X_109),meet(X_64,X_109)))) ),[0],$fot(join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)))]]) ).
cnf(refute_0_1672,plain,
( X_64 != join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top))
| X_64 = meet(X_64,join(complement(X_109),meet(X_64,X_109))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top)),meet(X_64,join(complement(X_109),meet(X_64,X_109)))) )],[refute_0_1670,refute_0_1671]) ).
cnf(refute_0_1673,plain,
X_64 = meet(X_64,join(complement(X_109),meet(X_64,X_109))),
inference(resolve,[$cnf( $equal(X_64,join(meet(join(complement(X_109),meet(X_64,X_109)),X_64),complement(top))) )],[refute_0_1650,refute_0_1672]) ).
cnf(refute_0_1674,plain,
skolemFOFtoCNF_X1 = meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1673:[bind(X_109,$fot(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),bind(X_64,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1675,plain,
( meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != zero
| skolemFOFtoCNF_X1 != meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X1 = meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X1,meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_1676,plain,
( skolemFOFtoCNF_X1 != meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X1 = meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_1586,refute_0_1675]) ).
cnf(refute_0_1677,plain,
skolemFOFtoCNF_X1 = meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1,meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1674,refute_0_1676]) ).
cnf(refute_0_1678,plain,
join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero) = complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_496:[bind(X1,$fot(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1679,plain,
meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)) = meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)))]]) ).
cnf(refute_0_1680,plain,
( join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero) != complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))
| meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)) != meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero))
| meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)) = meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)),meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero))) ),[1,1],$fot(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1681,plain,
( join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero) != complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))
| meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)) = meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)),meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero))) )],[refute_0_1679,refute_0_1680]) ).
cnf(refute_0_1682,plain,
meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)) = meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero),complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_1678,refute_0_1681]) ).
cnf(refute_0_1683,plain,
( meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)) != meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| skolemFOFtoCNF_X1 != meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero))
| skolemFOFtoCNF_X1 = meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X1,meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero))) ),[1],$fot(meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1684,plain,
( skolemFOFtoCNF_X1 != meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero))
| skolemFOFtoCNF_X1 = meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero)),meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1682,refute_0_1683]) ).
cnf(refute_0_1685,plain,
skolemFOFtoCNF_X1 = meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1,meet(skolemFOFtoCNF_X1,join(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),zero))) )],[refute_0_1677,refute_0_1684]) ).
cnf(refute_0_1686,plain,
( skolemFOFtoCNF_X1 != meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X1 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X1)),bind(Y,$fot(meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1687,plain,
meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1,meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1685,refute_0_1686]) ).
cnf(refute_0_1688,plain,
( complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != join(meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)))
| meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != skolemFOFtoCNF_X1
| complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),join(meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)))) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_1689,plain,
( complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != join(meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)))
| complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),join(meet(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)))) )],[refute_0_1643,refute_0_1689]) ).
cnf(refute_0_1691,plain,
complement(complement(converse(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_479:[bind(X_64,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1692,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_685:[bind(X_71,$fot(skolemFOFtoCNF_X1)),bind(X_72,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1693,plain,
skolemFOFtoCNF_X1 = join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_396:[bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X_64,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1694,plain,
( meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) != zero
| skolemFOFtoCNF_X1 != join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X1 = join(zero,meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X1,join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1695,plain,
( skolemFOFtoCNF_X1 != join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X1 = join(zero,meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),zero) )],[refute_0_691,refute_0_1694]) ).
cnf(refute_0_1696,plain,
skolemFOFtoCNF_X1 = join(zero,meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1,join(meet(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_1693,refute_0_1695]) ).
cnf(refute_0_1697,plain,
join(zero,meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))) = meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_641:[bind(X_64,$fot(meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1698,plain,
( join(zero,meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))) != meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))
| skolemFOFtoCNF_X1 != join(zero,meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X1 = meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X1,join(zero,meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))))) ),[1],$fot(meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1699,plain,
( skolemFOFtoCNF_X1 != join(zero,meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X1 = meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1697,refute_0_1698]) ).
cnf(refute_0_1700,plain,
skolemFOFtoCNF_X1 = meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1,join(zero,meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_1696,refute_0_1699]) ).
cnf(refute_0_1701,plain,
( skolemFOFtoCNF_X1 != meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))) = skolemFOFtoCNF_X1 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X1)),bind(Y,$fot(meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1702,plain,
meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))) = skolemFOFtoCNF_X1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X1,meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1700,refute_0_1701]) ).
cnf(refute_0_1703,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))
| meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))) != skolemFOFtoCNF_X1
| complement(converse(skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_1704,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))
| complement(converse(skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X1) )],[refute_0_1702,refute_0_1703]) ).
cnf(refute_0_1705,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(meet(skolemFOFtoCNF_X1,complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))) )],[refute_0_1692,refute_0_1704]) ).
cnf(refute_0_1706,plain,
join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1707,plain,
( join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))
| meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) != meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1708,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) != meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))) )],[refute_0_1706,refute_0_1707]) ).
cnf(refute_0_1709,plain,
join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1510,refute_0_1708]) ).
cnf(refute_0_1710,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))
| join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1711,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))
| complement(converse(skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_1709,refute_0_1710]) ).
cnf(refute_0_1712,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X1,meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))) )],[refute_0_1705,refute_0_1711]) ).
cnf(refute_0_1713,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1714,plain,
join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_1712,refute_0_1713]) ).
cnf(refute_0_1715,plain,
complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_479:[bind(X_64,$fot(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1716,plain,
join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1717,plain,
( complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1718,plain,
( complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1716,refute_0_1717]) ).
cnf(refute_0_1719,plain,
join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1715,refute_0_1718]) ).
cnf(refute_0_1720,plain,
( join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1721,plain,
( join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_1719,refute_0_1720]) ).
cnf(refute_0_1722,plain,
join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_1714,refute_0_1721]) ).
cnf(refute_0_1723,plain,
join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1) = join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1724,plain,
( join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1) != join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))),bind(Y,$fot(join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1725,plain,
( join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1),join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_1722,refute_0_1725]) ).
cnf(refute_0_1727,plain,
complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)) = complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1728,plain,
( complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)) != complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))
| join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1) != complement(converse(skolemFOFtoCNF_X0))
| complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)),complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1729,plain,
( join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1) != complement(converse(skolemFOFtoCNF_X0))
| complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)),complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))) )],[refute_0_1727,refute_0_1728]) ).
cnf(refute_0_1730,plain,
complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)) = complement(complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_1726,refute_0_1729]) ).
cnf(refute_0_1731,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)) != complement(complement(converse(skolemFOFtoCNF_X0)))
| complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)))),bind(Y,$fot(complement(complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1732,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)),complement(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1730,refute_0_1731]) ).
cnf(refute_0_1733,plain,
complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_1691,refute_0_1732]) ).
cnf(refute_0_1734,plain,
join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1735,plain,
( complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)) != converse(skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)))
| join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)))) ),[1,1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1736,plain,
( complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)) != converse(skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)))) )],[refute_0_1734,refute_0_1735]) ).
cnf(refute_0_1737,plain,
join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X0)) )],[refute_0_1733,refute_0_1736]) ).
cnf(refute_0_1738,plain,
( complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)))
| join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1739,plain,
( complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)))
| complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) )],[refute_0_1737,refute_0_1738]) ).
cnf(refute_0_1740,plain,
complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X1,complement(join(complement(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X1)))) )],[refute_0_1690,refute_0_1739]) ).
cnf(refute_0_1741,plain,
join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1742,plain,
( complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1743,plain,
( complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1741,refute_0_1742]) ).
cnf(refute_0_1744,plain,
join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) )],[refute_0_1740,refute_0_1743]) ).
cnf(refute_0_1745,plain,
( join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1746,plain,
( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) )],[refute_0_1744,refute_0_1745]) ).
cnf(refute_0_1747,plain,
join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) )],[refute_0_1642,refute_0_1746]) ).
cnf(refute_0_1748,plain,
complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1749,plain,
( complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) != complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1750,plain,
( join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1748,refute_0_1749]) ).
cnf(refute_0_1751,plain,
complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) )],[refute_0_1747,refute_0_1750]) ).
cnf(refute_0_1752,plain,
( complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))) != complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) != complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1753,plain,
( meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) != complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) )],[refute_0_1751,refute_0_1752]) ).
cnf(refute_0_1754,plain,
meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X1,complement(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1601,refute_0_1753]) ).
cnf(refute_0_1755,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) != meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) != complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1756,plain,
( meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))) != complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)),meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1510,refute_0_1755]) ).
cnf(refute_0_1757,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X1),complement(converse(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) )],[refute_0_1754,refute_0_1756]) ).
cnf(refute_0_1758,plain,
converse(complement(converse(skolemFOFtoCNF_X1))) = meet(converse(complement(converse(skolemFOFtoCNF_X1))),join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_675:[bind(X_139,$fot(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),bind(X_64,$fot(converse(complement(converse(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1759,plain,
converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) = converse(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_264:[bind(X0,$fot(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),bind(X1,$fot(complement(converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1760,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137)) = join(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),X_137),
inference(subst,[],[refute_0_269:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),bind(X2,$fot(X_137))]]) ).
cnf(refute_0_1761,plain,
( join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != converse(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137)) != join(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),X_137)
| join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137)) = join(converse(complement(skolemFOFtoCNF_X1)),X_137) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137)),join(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),X_137)) ),[1,0],$fot(converse(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1762,plain,
( join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137)) != join(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),X_137)
| join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137)) = join(converse(complement(skolemFOFtoCNF_X1)),X_137) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_890,refute_0_1761]) ).
cnf(refute_0_1763,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137)) = join(converse(complement(skolemFOFtoCNF_X1)),X_137),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),X_137)),join(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),X_137)) )],[refute_0_1760,refute_0_1762]) ).
cnf(refute_0_1764,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) = join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_1763:[bind(X_137,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1765,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))) = join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_1763:[bind(X_137,$fot(complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_1766,plain,
join(join(X_136,X_137),join(X_136,X_137)) = join(join(join(X_136,X_137),X_136),X_137),
inference(subst,[],[refute_0_269:[bind(X0,$fot(join(X_136,X_137))),bind(X1,$fot(X_136)),bind(X2,$fot(X_137))]]) ).
cnf(refute_0_1767,plain,
composition(join(one,one),complement(complement(X_84))) = complement(complement(X_84)),
inference(subst,[],[refute_0_1130:[bind(X_59,$fot(complement(X_84)))]]) ).
cnf(refute_0_1768,plain,
( complement(complement(X_84)) != X_84
| composition(join(one,one),complement(complement(X_84))) != complement(complement(X_84))
| composition(join(one,one),X_84) = complement(complement(X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),complement(complement(X_84))),complement(complement(X_84))) ),[0,1],$fot(X_84)]]) ).
cnf(refute_0_1769,plain,
( composition(join(one,one),complement(complement(X_84))) != complement(complement(X_84))
| composition(join(one,one),X_84) = complement(complement(X_84)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_84)),X_84) )],[refute_0_1615,refute_0_1768]) ).
cnf(refute_0_1770,plain,
composition(join(one,one),X_84) = complement(complement(X_84)),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(complement(X_84))),complement(complement(X_84))) )],[refute_0_1767,refute_0_1769]) ).
cnf(refute_0_1771,plain,
( complement(complement(X_84)) != X_84
| composition(join(one,one),X_84) != complement(complement(X_84))
| composition(join(one,one),X_84) = X_84 ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_84),complement(complement(X_84))) ),[1],$fot(X_84)]]) ).
cnf(refute_0_1772,plain,
( composition(join(one,one),X_84) != complement(complement(X_84))
| composition(join(one,one),X_84) = X_84 ),
inference(resolve,[$cnf( $equal(complement(complement(X_84)),X_84) )],[refute_0_1615,refute_0_1771]) ).
cnf(refute_0_1773,plain,
composition(join(one,one),X_84) = X_84,
inference(resolve,[$cnf( $equal(composition(join(one,one),X_84),complement(complement(X_84))) )],[refute_0_1770,refute_0_1772]) ).
cnf(refute_0_1774,plain,
composition(join(one,one),X_51) = X_51,
inference(subst,[],[refute_0_1773:[bind(X_84,$fot(X_51))]]) ).
cnf(refute_0_1775,plain,
( composition(join(one,one),X_51) != X_51
| composition(join(one,one),X_51) != join(X_51,X_51)
| X_51 = join(X_51,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_51),join(X_51,X_51)) ),[0],$fot(X_51)]]) ).
cnf(refute_0_1776,plain,
( composition(join(one,one),X_51) != join(X_51,X_51)
| X_51 = join(X_51,X_51) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_51),X_51) )],[refute_0_1774,refute_0_1775]) ).
cnf(refute_0_1777,plain,
X_51 = join(X_51,X_51),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_51),join(X_51,X_51)) )],[refute_0_83,refute_0_1776]) ).
cnf(refute_0_1778,plain,
join(X_136,X_137) = join(join(X_136,X_137),join(X_136,X_137)),
inference(subst,[],[refute_0_1777:[bind(X_51,$fot(join(X_136,X_137)))]]) ).
cnf(refute_0_1779,plain,
( join(X_136,X_137) != join(join(X_136,X_137),join(X_136,X_137))
| join(join(X_136,X_137),join(X_136,X_137)) = join(X_136,X_137) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_136,X_137))),bind(Y,$fot(join(join(X_136,X_137),join(X_136,X_137))))]]) ).
cnf(refute_0_1780,plain,
join(join(X_136,X_137),join(X_136,X_137)) = join(X_136,X_137),
inference(resolve,[$cnf( $equal(join(X_136,X_137),join(join(X_136,X_137),join(X_136,X_137))) )],[refute_0_1778,refute_0_1779]) ).
cnf(refute_0_1781,plain,
( join(join(X_136,X_137),join(X_136,X_137)) != join(X_136,X_137)
| join(join(X_136,X_137),join(X_136,X_137)) != join(join(join(X_136,X_137),X_136),X_137)
| join(X_136,X_137) = join(join(join(X_136,X_137),X_136),X_137) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_136,X_137),join(X_136,X_137)),join(join(join(X_136,X_137),X_136),X_137)) ),[0],$fot(join(X_136,X_137))]]) ).
cnf(refute_0_1782,plain,
( join(join(X_136,X_137),join(X_136,X_137)) != join(join(join(X_136,X_137),X_136),X_137)
| join(X_136,X_137) = join(join(join(X_136,X_137),X_136),X_137) ),
inference(resolve,[$cnf( $equal(join(join(X_136,X_137),join(X_136,X_137)),join(X_136,X_137)) )],[refute_0_1780,refute_0_1781]) ).
cnf(refute_0_1783,plain,
join(X_136,X_137) = join(join(join(X_136,X_137),X_136),X_137),
inference(resolve,[$cnf( $equal(join(join(X_136,X_137),join(X_136,X_137)),join(join(join(X_136,X_137),X_136),X_137)) )],[refute_0_1766,refute_0_1782]) ).
cnf(refute_0_1784,plain,
join(X_136,join(X_136,X_137)) = join(X_136,X_137),
inference(subst,[],[refute_0_1641:[bind(X0,$fot(X_136)),bind(X1,$fot(X_137))]]) ).
cnf(refute_0_1785,plain,
join(X_137,join(X_136,join(X_136,X_137))) = join(X_137,join(X_136,join(X_136,X_137))),
introduced(tautology,[refl,[$fot(join(X_137,join(X_136,join(X_136,X_137))))]]) ).
cnf(refute_0_1786,plain,
( join(X_136,join(X_136,X_137)) != join(X_136,X_137)
| join(X_137,join(X_136,join(X_136,X_137))) != join(X_137,join(X_136,join(X_136,X_137)))
| join(X_137,join(X_136,join(X_136,X_137))) = join(X_137,join(X_136,X_137)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_137,join(X_136,join(X_136,X_137))),join(X_137,join(X_136,join(X_136,X_137)))) ),[1,1],$fot(join(X_136,X_137))]]) ).
cnf(refute_0_1787,plain,
( join(X_136,join(X_136,X_137)) != join(X_136,X_137)
| join(X_137,join(X_136,join(X_136,X_137))) = join(X_137,join(X_136,X_137)) ),
inference(resolve,[$cnf( $equal(join(X_137,join(X_136,join(X_136,X_137))),join(X_137,join(X_136,join(X_136,X_137)))) )],[refute_0_1785,refute_0_1786]) ).
cnf(refute_0_1788,plain,
join(X_137,join(X_136,join(X_136,X_137))) = join(X_137,join(X_136,X_137)),
inference(resolve,[$cnf( $equal(join(X_136,join(X_136,X_137)),join(X_136,X_137)) )],[refute_0_1784,refute_0_1787]) ).
cnf(refute_0_1789,plain,
join(X_135,join(X_136,X_137)) = join(join(X_135,X_136),X_137),
inference(subst,[],[refute_0_269:[bind(X0,$fot(X_135)),bind(X1,$fot(X_136)),bind(X2,$fot(X_137))]]) ).
cnf(refute_0_1790,plain,
join(X_137,X_136) = join(X_136,X_137),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_137)),bind(X1,$fot(X_136))]]) ).
cnf(refute_0_1791,plain,
( join(X_137,X_136) != join(X_136,X_137)
| join(X_136,X_137) = join(X_137,X_136) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_137,X_136))),bind(Y,$fot(join(X_136,X_137)))]]) ).
cnf(refute_0_1792,plain,
join(X_136,X_137) = join(X_137,X_136),
inference(resolve,[$cnf( $equal(join(X_137,X_136),join(X_136,X_137)) )],[refute_0_1790,refute_0_1791]) ).
cnf(refute_0_1793,plain,
( join(X_135,join(X_136,X_137)) != join(join(X_135,X_136),X_137)
| join(X_136,X_137) != join(X_137,X_136)
| join(X_135,join(X_137,X_136)) = join(join(X_135,X_136),X_137) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_135,join(X_136,X_137)),join(join(X_135,X_136),X_137)) ),[0,1],$fot(join(X_137,X_136))]]) ).
cnf(refute_0_1794,plain,
( join(X_135,join(X_136,X_137)) != join(join(X_135,X_136),X_137)
| join(X_135,join(X_137,X_136)) = join(join(X_135,X_136),X_137) ),
inference(resolve,[$cnf( $equal(join(X_136,X_137),join(X_137,X_136)) )],[refute_0_1792,refute_0_1793]) ).
cnf(refute_0_1795,plain,
join(X_135,join(X_137,X_136)) = join(join(X_135,X_136),X_137),
inference(resolve,[$cnf( $equal(join(X_135,join(X_136,X_137)),join(join(X_135,X_136),X_137)) )],[refute_0_1789,refute_0_1794]) ).
cnf(refute_0_1796,plain,
join(join(X_135,X_136),X_137) = join(X_135,join(X_136,X_137)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_135)),bind(X1,$fot(X_136)),bind(X2,$fot(X_137))]]) ).
cnf(refute_0_1797,plain,
( join(X_135,join(X_137,X_136)) != join(join(X_135,X_136),X_137)
| join(join(X_135,X_136),X_137) != join(X_135,join(X_136,X_137))
| join(X_135,join(X_137,X_136)) = join(X_135,join(X_136,X_137)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_135,join(X_137,X_136)),join(X_135,join(X_136,X_137))) ),[0],$fot(join(join(X_135,X_136),X_137))]]) ).
cnf(refute_0_1798,plain,
( join(X_135,join(X_137,X_136)) != join(join(X_135,X_136),X_137)
| join(X_135,join(X_137,X_136)) = join(X_135,join(X_136,X_137)) ),
inference(resolve,[$cnf( $equal(join(join(X_135,X_136),X_137),join(X_135,join(X_136,X_137))) )],[refute_0_1796,refute_0_1797]) ).
cnf(refute_0_1799,plain,
join(X_135,join(X_137,X_136)) = join(X_135,join(X_136,X_137)),
inference(resolve,[$cnf( $equal(join(X_135,join(X_137,X_136)),join(join(X_135,X_136),X_137)) )],[refute_0_1795,refute_0_1798]) ).
cnf(refute_0_1800,plain,
( join(X_135,join(X_137,X_136)) != join(X_135,join(X_136,X_137))
| join(X_135,join(X_136,X_137)) = join(X_135,join(X_137,X_136)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_135,join(X_137,X_136)))),bind(Y,$fot(join(X_135,join(X_136,X_137))))]]) ).
cnf(refute_0_1801,plain,
join(X_135,join(X_136,X_137)) = join(X_135,join(X_137,X_136)),
inference(resolve,[$cnf( $equal(join(X_135,join(X_137,X_136)),join(X_135,join(X_136,X_137))) )],[refute_0_1799,refute_0_1800]) ).
cnf(refute_0_1802,plain,
join(X_137,join(join(X_136,X_137),X_136)) = join(X_137,join(X_136,join(X_136,X_137))),
inference(subst,[],[refute_0_1801:[bind(X_135,$fot(X_137)),bind(X_136,$fot(join(X_136,X_137))),bind(X_137,$fot(X_136))]]) ).
cnf(refute_0_1803,plain,
join(join(X_136,X_137),join(X_136,X_137)) = join(X_137,join(join(X_136,X_137),X_136)),
inference(subst,[],[refute_0_974:[bind(X0,$fot(X_137)),bind(X_135,$fot(join(X_136,X_137)))]]) ).
cnf(refute_0_1804,plain,
( join(X_137,join(join(X_136,X_137),X_136)) != join(X_137,join(X_136,join(X_136,X_137)))
| join(join(X_136,X_137),join(X_136,X_137)) != join(X_137,join(join(X_136,X_137),X_136))
| join(join(X_136,X_137),join(X_136,X_137)) = join(X_137,join(X_136,join(X_136,X_137))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(join(X_136,X_137),join(X_136,X_137)))),bind(Y,$fot(join(X_137,join(join(X_136,X_137),X_136)))),bind(Z,$fot(join(X_137,join(X_136,join(X_136,X_137)))))]]) ).
cnf(refute_0_1805,plain,
( join(X_137,join(join(X_136,X_137),X_136)) != join(X_137,join(X_136,join(X_136,X_137)))
| join(join(X_136,X_137),join(X_136,X_137)) = join(X_137,join(X_136,join(X_136,X_137))) ),
inference(resolve,[$cnf( $equal(join(join(X_136,X_137),join(X_136,X_137)),join(X_137,join(join(X_136,X_137),X_136))) )],[refute_0_1803,refute_0_1804]) ).
cnf(refute_0_1806,plain,
join(join(X_136,X_137),join(X_136,X_137)) = join(X_137,join(X_136,join(X_136,X_137))),
inference(resolve,[$cnf( $equal(join(X_137,join(join(X_136,X_137),X_136)),join(X_137,join(X_136,join(X_136,X_137)))) )],[refute_0_1802,refute_0_1805]) ).
cnf(refute_0_1807,plain,
join(join(join(X_136,X_137),X_136),X_137) = join(join(X_136,X_137),join(X_136,X_137)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(join(X_136,X_137))),bind(X1,$fot(X_136)),bind(X2,$fot(X_137))]]) ).
cnf(refute_0_1808,plain,
( join(join(X_136,X_137),join(X_136,X_137)) != join(X_137,join(X_136,join(X_136,X_137)))
| join(join(join(X_136,X_137),X_136),X_137) != join(join(X_136,X_137),join(X_136,X_137))
| join(join(join(X_136,X_137),X_136),X_137) = join(X_137,join(X_136,join(X_136,X_137))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(join(join(X_136,X_137),X_136),X_137))),bind(Y,$fot(join(join(X_136,X_137),join(X_136,X_137)))),bind(Z,$fot(join(X_137,join(X_136,join(X_136,X_137)))))]]) ).
cnf(refute_0_1809,plain,
( join(join(X_136,X_137),join(X_136,X_137)) != join(X_137,join(X_136,join(X_136,X_137)))
| join(join(join(X_136,X_137),X_136),X_137) = join(X_137,join(X_136,join(X_136,X_137))) ),
inference(resolve,[$cnf( $equal(join(join(join(X_136,X_137),X_136),X_137),join(join(X_136,X_137),join(X_136,X_137))) )],[refute_0_1807,refute_0_1808]) ).
cnf(refute_0_1810,plain,
join(join(join(X_136,X_137),X_136),X_137) = join(X_137,join(X_136,join(X_136,X_137))),
inference(resolve,[$cnf( $equal(join(join(X_136,X_137),join(X_136,X_137)),join(X_137,join(X_136,join(X_136,X_137)))) )],[refute_0_1806,refute_0_1809]) ).
cnf(refute_0_1811,plain,
( join(X_137,join(X_136,join(X_136,X_137))) != join(X_137,join(X_136,X_137))
| join(join(join(X_136,X_137),X_136),X_137) != join(X_137,join(X_136,join(X_136,X_137)))
| join(join(join(X_136,X_137),X_136),X_137) = join(X_137,join(X_136,X_137)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(join(join(X_136,X_137),X_136),X_137))),bind(Y,$fot(join(X_137,join(X_136,join(X_136,X_137))))),bind(Z,$fot(join(X_137,join(X_136,X_137))))]]) ).
cnf(refute_0_1812,plain,
( join(X_137,join(X_136,join(X_136,X_137))) != join(X_137,join(X_136,X_137))
| join(join(join(X_136,X_137),X_136),X_137) = join(X_137,join(X_136,X_137)) ),
inference(resolve,[$cnf( $equal(join(join(join(X_136,X_137),X_136),X_137),join(X_137,join(X_136,join(X_136,X_137)))) )],[refute_0_1810,refute_0_1811]) ).
cnf(refute_0_1813,plain,
join(join(join(X_136,X_137),X_136),X_137) = join(X_137,join(X_136,X_137)),
inference(resolve,[$cnf( $equal(join(X_137,join(X_136,join(X_136,X_137))),join(X_137,join(X_136,X_137))) )],[refute_0_1788,refute_0_1812]) ).
cnf(refute_0_1814,plain,
( join(X_136,X_137) != join(join(join(X_136,X_137),X_136),X_137)
| join(join(join(X_136,X_137),X_136),X_137) != join(X_137,join(X_136,X_137))
| join(X_136,X_137) = join(X_137,join(X_136,X_137)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_136,X_137),join(X_137,join(X_136,X_137))) ),[0],$fot(join(join(join(X_136,X_137),X_136),X_137))]]) ).
cnf(refute_0_1815,plain,
( join(X_136,X_137) != join(join(join(X_136,X_137),X_136),X_137)
| join(X_136,X_137) = join(X_137,join(X_136,X_137)) ),
inference(resolve,[$cnf( $equal(join(join(join(X_136,X_137),X_136),X_137),join(X_137,join(X_136,X_137))) )],[refute_0_1813,refute_0_1814]) ).
cnf(refute_0_1816,plain,
join(X_136,X_137) = join(X_137,join(X_136,X_137)),
inference(resolve,[$cnf( $equal(join(X_136,X_137),join(join(join(X_136,X_137),X_136),X_137)) )],[refute_0_1783,refute_0_1815]) ).
cnf(refute_0_1817,plain,
join(meet(X_65,X_64),complement(join(complement(X_64),X_65))) = join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))),
inference(subst,[],[refute_0_1816:[bind(X_136,$fot(meet(X_65,X_64))),bind(X_137,$fot(complement(join(complement(X_64),X_65))))]]) ).
cnf(refute_0_1818,plain,
( X_64 != join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))
| join(meet(X_65,X_64),complement(join(complement(X_64),X_65))) = X_64 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_64)),bind(Y,$fot(join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))))]]) ).
cnf(refute_0_1819,plain,
join(meet(X_65,X_64),complement(join(complement(X_64),X_65))) = X_64,
inference(resolve,[$cnf( $equal(X_64,join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))) )],[refute_0_375,refute_0_1818]) ).
cnf(refute_0_1820,plain,
( join(meet(X_65,X_64),complement(join(complement(X_64),X_65))) != X_64
| join(meet(X_65,X_64),complement(join(complement(X_64),X_65))) != join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65))))
| X_64 = join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_65,X_64),complement(join(complement(X_64),X_65))),join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65))))) ),[0],$fot(X_64)]]) ).
cnf(refute_0_1821,plain,
( join(meet(X_65,X_64),complement(join(complement(X_64),X_65))) != join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65))))
| X_64 = join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_65,X_64),complement(join(complement(X_64),X_65))),X_64) )],[refute_0_1819,refute_0_1820]) ).
cnf(refute_0_1822,plain,
X_64 = join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))),
inference(resolve,[$cnf( $equal(join(meet(X_65,X_64),complement(join(complement(X_64),X_65))),join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65))))) )],[refute_0_1817,refute_0_1821]) ).
cnf(refute_0_1823,plain,
join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),X_137)) = join(join(meet(X_65,X_64),complement(join(complement(X_64),X_65))),X_137),
inference(subst,[],[refute_0_269:[bind(X0,$fot(meet(X_65,X_64))),bind(X1,$fot(complement(join(complement(X_64),X_65)))),bind(X2,$fot(X_137))]]) ).
cnf(refute_0_1824,plain,
( join(meet(X_65,X_64),complement(join(complement(X_64),X_65))) != X_64
| join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),X_137)) != join(join(meet(X_65,X_64),complement(join(complement(X_64),X_65))),X_137)
| join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),X_137)) = join(X_64,X_137) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),X_137)),join(join(meet(X_65,X_64),complement(join(complement(X_64),X_65))),X_137)) ),[1,0],$fot(X_64)]]) ).
cnf(refute_0_1825,plain,
( join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),X_137)) != join(join(meet(X_65,X_64),complement(join(complement(X_64),X_65))),X_137)
| join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),X_137)) = join(X_64,X_137) ),
inference(resolve,[$cnf( $equal(join(meet(X_65,X_64),complement(join(complement(X_64),X_65))),X_64) )],[refute_0_1819,refute_0_1824]) ).
cnf(refute_0_1826,plain,
join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),X_137)) = join(X_64,X_137),
inference(resolve,[$cnf( $equal(join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),X_137)),join(join(meet(X_65,X_64),complement(join(complement(X_64),X_65))),X_137)) )],[refute_0_1823,refute_0_1825]) ).
cnf(refute_0_1827,plain,
join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),complement(join(complement(X_64),X_65)))) = join(X_64,complement(join(complement(X_64),X_65))),
inference(subst,[],[refute_0_1826:[bind(X_137,$fot(complement(join(complement(X_64),X_65))))]]) ).
cnf(refute_0_1828,plain,
join(X_136,X_135) = join(X_135,X_136),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_136)),bind(X1,$fot(X_135))]]) ).
cnf(refute_0_1829,plain,
( join(X_136,X_135) != join(X_135,X_136)
| join(X_135,X_136) = join(X_136,X_135) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_136,X_135))),bind(Y,$fot(join(X_135,X_136)))]]) ).
cnf(refute_0_1830,plain,
join(X_135,X_136) = join(X_136,X_135),
inference(resolve,[$cnf( $equal(join(X_136,X_135),join(X_135,X_136)) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
( join(X_135,X_136) != join(X_136,X_135)
| join(X_135,join(X_136,X_137)) != join(join(X_135,X_136),X_137)
| join(X_135,join(X_136,X_137)) = join(join(X_136,X_135),X_137) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_135,join(X_136,X_137)),join(join(X_135,X_136),X_137)) ),[1,0],$fot(join(X_136,X_135))]]) ).
cnf(refute_0_1832,plain,
( join(X_135,join(X_136,X_137)) != join(join(X_135,X_136),X_137)
| join(X_135,join(X_136,X_137)) = join(join(X_136,X_135),X_137) ),
inference(resolve,[$cnf( $equal(join(X_135,X_136),join(X_136,X_135)) )],[refute_0_1830,refute_0_1831]) ).
cnf(refute_0_1833,plain,
join(X_135,join(X_136,X_137)) = join(join(X_136,X_135),X_137),
inference(resolve,[$cnf( $equal(join(X_135,join(X_136,X_137)),join(join(X_135,X_136),X_137)) )],[refute_0_1789,refute_0_1832]) ).
cnf(refute_0_1834,plain,
join(join(X_136,X_135),X_137) = join(X_136,join(X_135,X_137)),
inference(subst,[],[refute_0_271:[bind(X0,$fot(X_136)),bind(X1,$fot(X_135)),bind(X2,$fot(X_137))]]) ).
cnf(refute_0_1835,plain,
( join(X_135,join(X_136,X_137)) != join(join(X_136,X_135),X_137)
| join(join(X_136,X_135),X_137) != join(X_136,join(X_135,X_137))
| join(X_135,join(X_136,X_137)) = join(X_136,join(X_135,X_137)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_135,join(X_136,X_137)),join(X_136,join(X_135,X_137))) ),[0],$fot(join(join(X_136,X_135),X_137))]]) ).
cnf(refute_0_1836,plain,
( join(X_135,join(X_136,X_137)) != join(join(X_136,X_135),X_137)
| join(X_135,join(X_136,X_137)) = join(X_136,join(X_135,X_137)) ),
inference(resolve,[$cnf( $equal(join(join(X_136,X_135),X_137),join(X_136,join(X_135,X_137))) )],[refute_0_1834,refute_0_1835]) ).
cnf(refute_0_1837,plain,
join(X_135,join(X_136,X_137)) = join(X_136,join(X_135,X_137)),
inference(resolve,[$cnf( $equal(join(X_135,join(X_136,X_137)),join(join(X_136,X_135),X_137)) )],[refute_0_1833,refute_0_1836]) ).
cnf(refute_0_1838,plain,
( join(X_135,join(X_136,X_137)) != join(X_136,join(X_135,X_137))
| join(X_136,join(X_135,X_137)) = join(X_135,join(X_136,X_137)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_135,join(X_136,X_137)))),bind(Y,$fot(join(X_136,join(X_135,X_137))))]]) ).
cnf(refute_0_1839,plain,
join(X_136,join(X_135,X_137)) = join(X_135,join(X_136,X_137)),
inference(resolve,[$cnf( $equal(join(X_135,join(X_136,X_137)),join(X_136,join(X_135,X_137))) )],[refute_0_1837,refute_0_1838]) ).
cnf(refute_0_1840,plain,
join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))) = join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),complement(join(complement(X_64),X_65)))),
inference(subst,[],[refute_0_1839:[bind(X_135,$fot(meet(X_65,X_64))),bind(X_136,$fot(complement(join(complement(X_64),X_65)))),bind(X_137,$fot(complement(join(complement(X_64),X_65))))]]) ).
cnf(refute_0_1841,plain,
( join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))) != join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),complement(join(complement(X_64),X_65))))
| join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),complement(join(complement(X_64),X_65)))) != join(X_64,complement(join(complement(X_64),X_65)))
| join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))) = join(X_64,complement(join(complement(X_64),X_65))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))))),bind(Y,$fot(join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),complement(join(complement(X_64),X_65)))))),bind(Z,$fot(join(X_64,complement(join(complement(X_64),X_65)))))]]) ).
cnf(refute_0_1842,plain,
( join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),complement(join(complement(X_64),X_65)))) != join(X_64,complement(join(complement(X_64),X_65)))
| join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))) = join(X_64,complement(join(complement(X_64),X_65))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))),join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),complement(join(complement(X_64),X_65))))) )],[refute_0_1840,refute_0_1841]) ).
cnf(refute_0_1843,plain,
join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))) = join(X_64,complement(join(complement(X_64),X_65))),
inference(resolve,[$cnf( $equal(join(meet(X_65,X_64),join(complement(join(complement(X_64),X_65)),complement(join(complement(X_64),X_65)))),join(X_64,complement(join(complement(X_64),X_65)))) )],[refute_0_1827,refute_0_1842]) ).
cnf(refute_0_1844,plain,
( X_64 != join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65))))
| join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))) != join(X_64,complement(join(complement(X_64),X_65)))
| X_64 = join(X_64,complement(join(complement(X_64),X_65))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,join(X_64,complement(join(complement(X_64),X_65)))) ),[0],$fot(join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))))]]) ).
cnf(refute_0_1845,plain,
( X_64 != join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65))))
| X_64 = join(X_64,complement(join(complement(X_64),X_65))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65)))),join(X_64,complement(join(complement(X_64),X_65)))) )],[refute_0_1843,refute_0_1844]) ).
cnf(refute_0_1846,plain,
X_64 = join(X_64,complement(join(complement(X_64),X_65))),
inference(resolve,[$cnf( $equal(X_64,join(complement(join(complement(X_64),X_65)),join(meet(X_65,X_64),complement(join(complement(X_64),X_65))))) )],[refute_0_1822,refute_0_1845]) ).
cnf(refute_0_1847,plain,
X_64 = join(X_64,complement(join(complement(X_64),meet(X_64,converse(complement(converse(X_64))))))),
inference(subst,[],[refute_0_1846:[bind(X_65,$fot(meet(X_64,converse(complement(converse(X_64))))))]]) ).
cnf(refute_0_1848,plain,
converse(complement(converse(X_64))) = join(complement(X_64),meet(X_64,converse(complement(converse(X_64))))),
inference(subst,[],[refute_0_1473:[bind(X_194,$fot(X_64))]]) ).
cnf(refute_0_1849,plain,
( converse(complement(converse(X_64))) != join(complement(X_64),meet(X_64,converse(complement(converse(X_64)))))
| join(complement(X_64),meet(X_64,converse(complement(converse(X_64))))) = converse(complement(converse(X_64))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(converse(X_64))))),bind(Y,$fot(join(complement(X_64),meet(X_64,converse(complement(converse(X_64)))))))]]) ).
cnf(refute_0_1850,plain,
join(complement(X_64),meet(X_64,converse(complement(converse(X_64))))) = converse(complement(converse(X_64))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_64))),join(complement(X_64),meet(X_64,converse(complement(converse(X_64)))))) )],[refute_0_1848,refute_0_1849]) ).
cnf(refute_0_1851,plain,
( X_64 != join(X_64,complement(join(complement(X_64),meet(X_64,converse(complement(converse(X_64)))))))
| join(complement(X_64),meet(X_64,converse(complement(converse(X_64))))) != converse(complement(converse(X_64)))
| X_64 = join(X_64,complement(converse(complement(converse(X_64))))) ),
introduced(tautology,[equality,[$cnf( $equal(X_64,join(X_64,complement(join(complement(X_64),meet(X_64,converse(complement(converse(X_64)))))))) ),[1,1,0],$fot(converse(complement(converse(X_64))))]]) ).
cnf(refute_0_1852,plain,
( X_64 != join(X_64,complement(join(complement(X_64),meet(X_64,converse(complement(converse(X_64)))))))
| X_64 = join(X_64,complement(converse(complement(converse(X_64))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),meet(X_64,converse(complement(converse(X_64))))),converse(complement(converse(X_64)))) )],[refute_0_1850,refute_0_1851]) ).
cnf(refute_0_1853,plain,
X_64 = join(X_64,complement(converse(complement(converse(X_64))))),
inference(resolve,[$cnf( $equal(X_64,join(X_64,complement(join(complement(X_64),meet(X_64,converse(complement(converse(X_64)))))))) )],[refute_0_1847,refute_0_1852]) ).
cnf(refute_0_1854,plain,
converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) = join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_1853:[bind(X_64,$fot(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1855,plain,
( converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) != join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))
| join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) = converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))))]]) ).
cnf(refute_0_1856,plain,
join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) = converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_1854,refute_0_1855]) ).
cnf(refute_0_1857,plain,
( join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) != converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))) != join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))
| join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) = join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))),join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))) ),[0,1],$fot(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1858,plain,
( join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))) != join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))
| join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) = join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) )],[refute_0_1856,refute_0_1857]) ).
cnf(refute_0_1859,plain,
join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) = join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))),join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_1765,refute_0_1858]) ).
cnf(refute_0_1860,plain,
( join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != converse(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))
| converse(complement(skolemFOFtoCNF_X1)) = join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))) ),[0],$fot(converse(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1861,plain,
( join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))
| converse(complement(skolemFOFtoCNF_X1)) = join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_890,refute_0_1860]) ).
cnf(refute_0_1862,plain,
join(converse(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_858:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_46,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1863,plain,
converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) = join(converse(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_817:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_4,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1864,plain,
( converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) != join(converse(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)
| join(converse(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))
| converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1865,plain,
( join(converse(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))
| converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),join(converse(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0)) )],[refute_0_1863,refute_0_1864]) ).
cnf(refute_0_1866,plain,
converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X1),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) )],[refute_0_1862,refute_0_1865]) ).
cnf(refute_0_1867,plain,
complement(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_479:[bind(X_64,$fot(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1868,plain,
converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_30:[bind(X0,$fot(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1869,plain,
complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) = complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1870,plain,
( complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) != complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))
| converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) = complement(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1871,plain,
( converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) = complement(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1869,refute_0_1870]) ).
cnf(refute_0_1872,plain,
complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) = complement(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) )],[refute_0_1868,refute_0_1871]) ).
cnf(refute_0_1873,plain,
( complement(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) != complement(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))
| complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(complement(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1874,plain,
( complement(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),complement(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) )],[refute_0_1872,refute_0_1873]) ).
cnf(refute_0_1875,plain,
complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) )],[refute_0_1867,refute_0_1874]) ).
cnf(refute_0_1876,plain,
converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) = converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1877,plain,
( complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) != converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))
| converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) = converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))),converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1878,plain,
( complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))
| converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) = converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))),converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1876,refute_0_1877]) ).
cnf(refute_0_1879,plain,
converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) = converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) )],[refute_0_1875,refute_0_1878]) ).
cnf(refute_0_1880,plain,
( converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) != converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))
| converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1881,plain,
( converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))
| converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))),converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) )],[refute_0_1879,refute_0_1880]) ).
cnf(refute_0_1882,plain,
converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) )],[refute_0_1866,refute_0_1881]) ).
cnf(refute_0_1883,plain,
complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))) = complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_1884,plain,
( complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))) != complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))
| converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))
| complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1885,plain,
( converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))
| complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_1883,refute_0_1884]) ).
cnf(refute_0_1886,plain,
complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) )],[refute_0_1882,refute_0_1885]) ).
cnf(refute_0_1887,plain,
join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) = join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_1888,plain,
( complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))
| join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) != join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))
| join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) = join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))),join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1889,plain,
( complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))
| join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) = join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))),join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_1887,refute_0_1888]) ).
cnf(refute_0_1890,plain,
join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) = join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) )],[refute_0_1886,refute_0_1889]) ).
cnf(refute_0_1891,plain,
( converse(complement(skolemFOFtoCNF_X1)) != join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))
| join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))) != join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))
| converse(complement(skolemFOFtoCNF_X1)) = join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(skolemFOFtoCNF_X1)),join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) ),[0],$fot(join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_1892,plain,
( converse(complement(skolemFOFtoCNF_X1)) != join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))
| converse(complement(skolemFOFtoCNF_X1)) = join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))))),join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) )],[refute_0_1890,refute_0_1891]) ).
cnf(refute_0_1893,plain,
( join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))
| converse(complement(skolemFOFtoCNF_X1)) = join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X1)),join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_1861,refute_0_1892]) ).
cnf(refute_0_1894,plain,
converse(complement(skolemFOFtoCNF_X1)) = join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X1)),complement(converse(complement(converse(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_1859,refute_0_1893]) ).
cnf(refute_0_1895,plain,
( converse(complement(skolemFOFtoCNF_X1)) != join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))
| join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) = converse(complement(skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(skolemFOFtoCNF_X1)))),bind(Y,$fot(join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_1896,plain,
join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) = converse(complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X1)),join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) )],[refute_0_1894,refute_0_1895]) ).
cnf(refute_0_1897,plain,
( join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) != converse(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) != join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) = converse(complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))),join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) ),[1],$fot(converse(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1898,plain,
( join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) != join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) = converse(complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_1896,refute_0_1897]) ).
cnf(refute_0_1899,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) = converse(complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))),join(converse(complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) )],[refute_0_1764,refute_0_1898]) ).
cnf(refute_0_1900,plain,
join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),X2)) = join(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),X2),
inference(subst,[],[refute_0_269:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1901,plain,
complement(converse(skolemFOFtoCNF_X1)) = join(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))),complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_375:[bind(X_64,$fot(complement(converse(skolemFOFtoCNF_X1)))),bind(X_65,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1902,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(converse(X0),converse(complement(skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_989:[bind(X_135,$fot(converse(X0)))]]) ).
cnf(refute_0_1903,plain,
converse(join(X0,complement(skolemFOFtoCNF_X1))) = join(converse(X0),converse(complement(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_92:[bind(X1,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1904,plain,
( converse(join(X0,complement(skolemFOFtoCNF_X1))) != join(converse(X0),converse(complement(skolemFOFtoCNF_X1)))
| join(converse(X0),converse(complement(skolemFOFtoCNF_X1))) = converse(join(X0,complement(skolemFOFtoCNF_X1))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,complement(skolemFOFtoCNF_X1))))),bind(Y,$fot(join(converse(X0),converse(complement(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1905,plain,
join(converse(X0),converse(complement(skolemFOFtoCNF_X1))) = converse(join(X0,complement(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(converse(join(X0,complement(skolemFOFtoCNF_X1))),join(converse(X0),converse(complement(skolemFOFtoCNF_X1)))) )],[refute_0_1903,refute_0_1904]) ).
cnf(refute_0_1906,plain,
( join(converse(X0),converse(complement(skolemFOFtoCNF_X1))) != converse(join(X0,complement(skolemFOFtoCNF_X1)))
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(converse(X0),converse(complement(skolemFOFtoCNF_X1))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(X0,complement(skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(converse(X0),converse(complement(skolemFOFtoCNF_X1))))) ),[1,1],$fot(converse(join(X0,complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1907,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(converse(X0),converse(complement(skolemFOFtoCNF_X1))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(X0,complement(skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(complement(skolemFOFtoCNF_X1))),converse(join(X0,complement(skolemFOFtoCNF_X1)))) )],[refute_0_1905,refute_0_1906]) ).
cnf(refute_0_1908,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(X0,complement(skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(converse(X0),converse(complement(skolemFOFtoCNF_X1))))) )],[refute_0_1902,refute_0_1907]) ).
cnf(refute_0_1909,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(X_172,complement(skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_1908:[bind(X0,$fot(X_172))]]) ).
cnf(refute_0_1910,plain,
join(complement(skolemFOFtoCNF_X1),X_172) = join(X_172,complement(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(skolemFOFtoCNF_X1))),bind(X1,$fot(X_172))]]) ).
cnf(refute_0_1911,plain,
( join(complement(skolemFOFtoCNF_X1),X_172) != join(X_172,complement(skolemFOFtoCNF_X1))
| join(X_172,complement(skolemFOFtoCNF_X1)) = join(complement(skolemFOFtoCNF_X1),X_172) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(skolemFOFtoCNF_X1),X_172))),bind(Y,$fot(join(X_172,complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1912,plain,
join(X_172,complement(skolemFOFtoCNF_X1)) = join(complement(skolemFOFtoCNF_X1),X_172),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),X_172),join(X_172,complement(skolemFOFtoCNF_X1))) )],[refute_0_1910,refute_0_1911]) ).
cnf(refute_0_1913,plain,
( join(X_172,complement(skolemFOFtoCNF_X1)) != join(complement(skolemFOFtoCNF_X1),X_172)
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(join(X_172,complement(skolemFOFtoCNF_X1))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(complement(skolemFOFtoCNF_X1),X_172))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(join(X_172,complement(skolemFOFtoCNF_X1))))) ),[1,1,0],$fot(join(complement(skolemFOFtoCNF_X1),X_172))]]) ).
cnf(refute_0_1914,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(join(X_172,complement(skolemFOFtoCNF_X1))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(complement(skolemFOFtoCNF_X1),X_172))) ),
inference(resolve,[$cnf( $equal(join(X_172,complement(skolemFOFtoCNF_X1)),join(complement(skolemFOFtoCNF_X1),X_172)) )],[refute_0_1912,refute_0_1913]) ).
cnf(refute_0_1915,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(complement(skolemFOFtoCNF_X1),X_172))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(join(X_172,complement(skolemFOFtoCNF_X1))))) )],[refute_0_1909,refute_0_1914]) ).
cnf(refute_0_1916,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))))),
inference(subst,[],[refute_0_1915:[bind(X_172,$fot(meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_1917,plain,
( join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))) != converse(complement(converse(skolemFOFtoCNF_X1)))
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1)))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1)))))))) ),[1,1,0],$fot(converse(complement(converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1918,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1)))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1))))),converse(complement(converse(skolemFOFtoCNF_X1)))) )],[refute_0_1476,refute_0_1917]) ).
cnf(refute_0_1919,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(join(complement(skolemFOFtoCNF_X1),meet(skolemFOFtoCNF_X1,converse(complement(converse(skolemFOFtoCNF_X1)))))))) )],[refute_0_1916,refute_0_1918]) ).
cnf(refute_0_1920,plain,
meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))) = meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_1921,plain,
( converse(converse(complement(converse(skolemFOFtoCNF_X1)))) != complement(converse(skolemFOFtoCNF_X1))
| meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))) != meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1)))))
| meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))) = meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))),meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1)))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1922,plain,
( converse(converse(complement(converse(skolemFOFtoCNF_X1)))) != complement(converse(skolemFOFtoCNF_X1))
| meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))) = meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))),meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1)))))) )],[refute_0_1920,refute_0_1921]) ).
cnf(refute_0_1923,plain,
meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))) = meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(skolemFOFtoCNF_X1)))),complement(converse(skolemFOFtoCNF_X1))) )],[refute_0_1496,refute_0_1922]) ).
cnf(refute_0_1924,plain,
( meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))) != meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1)))
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1)))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1)))))) ),[1],$fot(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1925,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1)))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1))))),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1)))) )],[refute_0_1923,refute_0_1924]) ).
cnf(refute_0_1926,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(converse(complement(converse(skolemFOFtoCNF_X1)))))) )],[refute_0_1919,refute_0_1925]) ).
cnf(refute_0_1927,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1)))
| meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1928,plain,
meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1)))) )],[refute_0_1926,refute_0_1927]) ).
cnf(refute_0_1929,plain,
( complement(converse(skolemFOFtoCNF_X1)) != join(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))),complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))) != skolemFOFtoCNF_X0
| complement(converse(skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X1)),join(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))),complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1930,plain,
( complement(converse(skolemFOFtoCNF_X1)) != join(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))),complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))
| complement(converse(skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) )],[refute_0_1928,refute_0_1929]) ).
cnf(refute_0_1931,plain,
complement(converse(skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X1)),join(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X1))),complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))) )],[refute_0_1901,refute_0_1930]) ).
cnf(refute_0_1932,plain,
complement(complement(converse(skolemFOFtoCNF_X1))) = converse(skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_479:[bind(X_64,$fot(converse(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1933,plain,
join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1934,plain,
( complement(complement(converse(skolemFOFtoCNF_X1))) != converse(skolemFOFtoCNF_X1)
| join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))) != join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))),join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1))))) ),[1,1],$fot(converse(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1935,plain,
( complement(complement(converse(skolemFOFtoCNF_X1))) != converse(skolemFOFtoCNF_X1)
| join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))),join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1))))) )],[refute_0_1933,refute_0_1934]) ).
cnf(refute_0_1936,plain,
join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X1))),converse(skolemFOFtoCNF_X1)) )],[refute_0_1932,refute_0_1935]) ).
cnf(refute_0_1937,plain,
join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(complement(converse(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1938,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))
| join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1939,plain,
( join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))
| join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1))))) )],[refute_0_1937,refute_0_1938]) ).
cnf(refute_0_1940,plain,
join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(complement(converse(skolemFOFtoCNF_X1)))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) )],[refute_0_1936,refute_0_1939]) ).
cnf(refute_0_1941,plain,
complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) = complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1942,plain,
( complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) != complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))
| join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))
| complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)),complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1943,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))
| complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)),complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) )],[refute_0_1941,refute_0_1942]) ).
cnf(refute_0_1944,plain,
complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) )],[refute_0_1940,refute_0_1943]) ).
cnf(refute_0_1945,plain,
join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1946,plain,
( complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))
| join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1947,plain,
( complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))
| join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))) )],[refute_0_1945,refute_0_1946]) ).
cnf(refute_0_1948,plain,
join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) )],[refute_0_1944,refute_0_1947]) ).
cnf(refute_0_1949,plain,
( complement(converse(skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))
| complement(converse(skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1950,plain,
( complement(converse(skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))
| complement(converse(skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) )],[refute_0_1948,refute_0_1949]) ).
cnf(refute_0_1951,plain,
complement(converse(skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X0,complement(join(complement(complement(converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0)))) )],[refute_0_1931,refute_0_1950]) ).
cnf(refute_0_1952,plain,
( complement(converse(skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) = complement(converse(skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X1)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_1953,plain,
join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) = complement(converse(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) )],[refute_0_1951,refute_0_1952]) ).
cnf(refute_0_1954,plain,
( join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) != complement(converse(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),X2)) != join(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),X2)
| join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),X2)) = join(complement(converse(skolemFOFtoCNF_X1)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),X2)),join(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),X2)) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1955,plain,
( join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),X2)) != join(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),X2)
| join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),X2)) = join(complement(converse(skolemFOFtoCNF_X1)),X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),complement(converse(skolemFOFtoCNF_X1))) )],[refute_0_1953,refute_0_1954]) ).
cnf(refute_0_1956,plain,
join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),X2)) = join(complement(converse(skolemFOFtoCNF_X1)),X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),X2)),join(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),X2)) )],[refute_0_1900,refute_0_1955]) ).
cnf(refute_0_1957,plain,
join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1956:[bind(X2,$fot(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1958,plain,
converse(converse(join(X_180,join(X_181,X_182)))) = join(X_180,join(X_181,X_182)),
inference(subst,[],[refute_0_30:[bind(X0,$fot(join(X_180,join(X_181,X_182))))]]) ).
cnf(refute_0_1959,plain,
converse(join(X0,join(X_10,X_11))) = join(converse(X0),converse(join(X_10,X_11))),
inference(subst,[],[refute_0_92:[bind(X1,$fot(join(X_10,X_11)))]]) ).
cnf(refute_0_1960,plain,
( converse(join(X0,join(X_10,X_11))) != join(converse(X0),converse(join(X_10,X_11)))
| converse(join(X_10,X_11)) != converse(join(X_11,X_10))
| converse(join(X0,join(X_10,X_11))) = join(converse(X0),converse(join(X_11,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_10,X_11))),join(converse(X0),converse(join(X_10,X_11)))) ),[1,1],$fot(converse(join(X_11,X_10)))]]) ).
cnf(refute_0_1961,plain,
( converse(join(X0,join(X_10,X_11))) != join(converse(X0),converse(join(X_10,X_11)))
| converse(join(X0,join(X_10,X_11))) = join(converse(X0),converse(join(X_11,X_10))) ),
inference(resolve,[$cnf( $equal(converse(join(X_10,X_11)),converse(join(X_11,X_10))) )],[refute_0_265,refute_0_1960]) ).
cnf(refute_0_1962,plain,
converse(join(X0,join(X_10,X_11))) = join(converse(X0),converse(join(X_11,X_10))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_10,X_11))),join(converse(X0),converse(join(X_10,X_11)))) )],[refute_0_1959,refute_0_1961]) ).
cnf(refute_0_1963,plain,
join(converse(X0),converse(join(X_11,X_10))) = converse(join(X0,join(X_11,X_10))),
inference(subst,[],[refute_0_260:[bind(X1,$fot(join(X_11,X_10)))]]) ).
cnf(refute_0_1964,plain,
( converse(join(X0,join(X_10,X_11))) != join(converse(X0),converse(join(X_11,X_10)))
| join(converse(X0),converse(join(X_11,X_10))) != converse(join(X0,join(X_11,X_10)))
| converse(join(X0,join(X_10,X_11))) = converse(join(X0,join(X_11,X_10))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,join(X_10,X_11))),converse(join(X0,join(X_11,X_10)))) ),[0],$fot(join(converse(X0),converse(join(X_11,X_10))))]]) ).
cnf(refute_0_1965,plain,
( converse(join(X0,join(X_10,X_11))) != join(converse(X0),converse(join(X_11,X_10)))
| converse(join(X0,join(X_10,X_11))) = converse(join(X0,join(X_11,X_10))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_11,X_10))),converse(join(X0,join(X_11,X_10)))) )],[refute_0_1963,refute_0_1964]) ).
cnf(refute_0_1966,plain,
converse(join(X0,join(X_10,X_11))) = converse(join(X0,join(X_11,X_10))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_10,X_11))),join(converse(X0),converse(join(X_11,X_10)))) )],[refute_0_1962,refute_0_1965]) ).
cnf(refute_0_1967,plain,
converse(join(X_180,join(X_181,X_182))) = converse(join(X_180,join(X_182,X_181))),
inference(subst,[],[refute_0_1966:[bind(X0,$fot(X_180)),bind(X_10,$fot(X_181)),bind(X_11,$fot(X_182))]]) ).
cnf(refute_0_1968,plain,
( converse(converse(join(X_180,join(X_181,X_182)))) != join(X_180,join(X_181,X_182))
| converse(join(X_180,join(X_181,X_182))) != converse(join(X_180,join(X_182,X_181)))
| converse(converse(join(X_180,join(X_182,X_181)))) = join(X_180,join(X_181,X_182)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_180,join(X_181,X_182)))),join(X_180,join(X_181,X_182))) ),[0,0],$fot(converse(join(X_180,join(X_182,X_181))))]]) ).
cnf(refute_0_1969,plain,
( converse(converse(join(X_180,join(X_181,X_182)))) != join(X_180,join(X_181,X_182))
| converse(converse(join(X_180,join(X_182,X_181)))) = join(X_180,join(X_181,X_182)) ),
inference(resolve,[$cnf( $equal(converse(join(X_180,join(X_181,X_182))),converse(join(X_180,join(X_182,X_181)))) )],[refute_0_1967,refute_0_1968]) ).
cnf(refute_0_1970,plain,
converse(converse(join(X_180,join(X_182,X_181)))) = join(X_180,join(X_181,X_182)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_180,join(X_181,X_182)))),join(X_180,join(X_181,X_182))) )],[refute_0_1958,refute_0_1969]) ).
cnf(refute_0_1971,plain,
converse(converse(join(X_180,join(X_182,X_181)))) = join(X_180,join(X_182,X_181)),
inference(subst,[],[refute_0_30:[bind(X0,$fot(join(X_180,join(X_182,X_181))))]]) ).
cnf(refute_0_1972,plain,
( converse(converse(join(X_180,join(X_182,X_181)))) != join(X_180,join(X_181,X_182))
| converse(converse(join(X_180,join(X_182,X_181)))) != join(X_180,join(X_182,X_181))
| join(X_180,join(X_182,X_181)) = join(X_180,join(X_181,X_182)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_180,join(X_182,X_181)))),join(X_180,join(X_181,X_182))) ),[0],$fot(join(X_180,join(X_182,X_181)))]]) ).
cnf(refute_0_1973,plain,
( converse(converse(join(X_180,join(X_182,X_181)))) != join(X_180,join(X_181,X_182))
| join(X_180,join(X_182,X_181)) = join(X_180,join(X_181,X_182)) ),
inference(resolve,[$cnf( $equal(converse(converse(join(X_180,join(X_182,X_181)))),join(X_180,join(X_182,X_181))) )],[refute_0_1971,refute_0_1972]) ).
cnf(refute_0_1974,plain,
join(X_180,join(X_182,X_181)) = join(X_180,join(X_181,X_182)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_180,join(X_182,X_181)))),join(X_180,join(X_181,X_182))) )],[refute_0_1970,refute_0_1973]) ).
cnf(refute_0_1975,plain,
( join(X_180,join(X_182,X_181)) != join(X_180,join(X_181,X_182))
| join(X_180,join(X_181,X_182)) = join(X_180,join(X_182,X_181)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_180,join(X_182,X_181)))),bind(Y,$fot(join(X_180,join(X_181,X_182))))]]) ).
cnf(refute_0_1976,plain,
join(X_180,join(X_181,X_182)) = join(X_180,join(X_182,X_181)),
inference(resolve,[$cnf( $equal(join(X_180,join(X_182,X_181)),join(X_180,join(X_181,X_182))) )],[refute_0_1974,refute_0_1975]) ).
cnf(refute_0_1977,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) = join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1976:[bind(X_180,$fot(skolemFOFtoCNF_X0)),bind(X_181,$fot(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),bind(X_182,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1978,plain,
( join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) != join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) != join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) = join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1979,plain,
( join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) != join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) = join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))),join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1977,refute_0_1978]) ).
cnf(refute_0_1980,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) = join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1957,refute_0_1979]) ).
cnf(refute_0_1981,plain,
( join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) != converse(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) != join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) = converse(complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))),converse(complement(skolemFOFtoCNF_X1))) ),[0],$fot(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1982,plain,
( join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) != converse(complement(skolemFOFtoCNF_X1))
| join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) = converse(complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))),join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1980,refute_0_1981]) ).
cnf(refute_0_1983,plain,
join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) = converse(complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_1899,refute_0_1982]) ).
cnf(refute_0_1984,plain,
( converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) != converse(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != converse(complement(skolemFOFtoCNF_X1))
| converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) = converse(converse(complement(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))),converse(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(converse(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1985,plain,
( converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) != converse(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))
| converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) = converse(converse(complement(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_1983,refute_0_1984]) ).
cnf(refute_0_1986,plain,
converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) = converse(converse(complement(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))),converse(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1759,refute_0_1985]) ).
cnf(refute_0_1987,plain,
converse(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) = join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_817:[bind(X0,$fot(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),bind(X_4,$fot(complement(converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1988,plain,
( converse(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) != join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))
| converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) != converse(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))
| converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) = join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))))),bind(Y,$fot(converse(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1989,plain,
( converse(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) != join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))
| converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) = join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))),converse(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1759,refute_0_1988]) ).
cnf(refute_0_1990,plain,
converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) = join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(skolemFOFtoCNF_X1)),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))),join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) )],[refute_0_1987,refute_0_1989]) ).
cnf(refute_0_1991,plain,
( converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) != converse(converse(complement(skolemFOFtoCNF_X1)))
| converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) != join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))
| join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) = converse(converse(complement(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))),converse(converse(complement(skolemFOFtoCNF_X1)))) ),[0],$fot(join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1992,plain,
( converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) != converse(converse(complement(skolemFOFtoCNF_X1)))
| join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) = converse(converse(complement(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))),join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) )],[refute_0_1990,refute_0_1991]) ).
cnf(refute_0_1993,plain,
converse(converse(complement(skolemFOFtoCNF_X1))) = complement(skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_30:[bind(X0,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1994,plain,
( converse(converse(complement(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X1)
| join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) != converse(converse(complement(skolemFOFtoCNF_X1)))
| join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),converse(converse(complement(skolemFOFtoCNF_X1)))) ),[1],$fot(complement(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1995,plain,
( join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) != converse(converse(complement(skolemFOFtoCNF_X1)))
| join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(converse(converse(complement(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) )],[refute_0_1993,refute_0_1994]) ).
cnf(refute_0_1996,plain,
( converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))) != converse(converse(complement(skolemFOFtoCNF_X1)))
| join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),converse(converse(complement(skolemFOFtoCNF_X1)))) )],[refute_0_1992,refute_0_1995]) ).
cnf(refute_0_1997,plain,
join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X1)))),converse(converse(complement(skolemFOFtoCNF_X1)))) )],[refute_0_1986,refute_0_1996]) ).
cnf(refute_0_1998,plain,
( converse(complement(converse(skolemFOFtoCNF_X1))) != meet(converse(complement(converse(skolemFOFtoCNF_X1))),join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))
| join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X1)
| converse(complement(converse(skolemFOFtoCNF_X1))) = meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X1))),meet(converse(complement(converse(skolemFOFtoCNF_X1))),join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1999,plain,
( converse(complement(converse(skolemFOFtoCNF_X1))) != meet(converse(complement(converse(skolemFOFtoCNF_X1))),join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))
| converse(complement(converse(skolemFOFtoCNF_X1))) = meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X1)) )],[refute_0_1997,refute_0_1998]) ).
cnf(refute_0_2000,plain,
converse(complement(converse(skolemFOFtoCNF_X1))) = meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X1))),meet(converse(complement(converse(skolemFOFtoCNF_X1))),join(converse(complement(converse(skolemFOFtoCNF_X1))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1758,refute_0_1999]) ).
cnf(refute_0_2001,plain,
( complement(X_64) != meet(complement(X_64),converse(complement(converse(X_64))))
| meet(complement(X_64),converse(complement(converse(X_64)))) = complement(X_64) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_64))),bind(Y,$fot(meet(complement(X_64),converse(complement(converse(X_64))))))]]) ).
cnf(refute_0_2002,plain,
meet(complement(X_64),converse(complement(converse(X_64)))) = complement(X_64),
inference(resolve,[$cnf( $equal(complement(X_64),meet(complement(X_64),converse(complement(converse(X_64))))) )],[refute_0_1451,refute_0_2001]) ).
cnf(refute_0_2003,plain,
meet(complement(skolemFOFtoCNF_X1),converse(complement(converse(skolemFOFtoCNF_X1)))) = complement(skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_2002:[bind(X_64,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_2004,plain,
meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) = meet(complement(skolemFOFtoCNF_X1),converse(complement(converse(skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_238:[bind(X_25,$fot(complement(skolemFOFtoCNF_X1))),bind(X_26,$fot(converse(complement(converse(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_2005,plain,
( meet(complement(skolemFOFtoCNF_X1),converse(complement(converse(skolemFOFtoCNF_X1)))) != complement(skolemFOFtoCNF_X1)
| meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) != meet(complement(skolemFOFtoCNF_X1),converse(complement(converse(skolemFOFtoCNF_X1))))
| meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) = complement(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X1),converse(complement(converse(skolemFOFtoCNF_X1)))))),bind(Z,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2006,plain,
( meet(complement(skolemFOFtoCNF_X1),converse(complement(converse(skolemFOFtoCNF_X1)))) != complement(skolemFOFtoCNF_X1)
| meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) = complement(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)),meet(complement(skolemFOFtoCNF_X1),converse(complement(converse(skolemFOFtoCNF_X1))))) )],[refute_0_2004,refute_0_2005]) ).
cnf(refute_0_2007,plain,
meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) = complement(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X1),converse(complement(converse(skolemFOFtoCNF_X1)))),complement(skolemFOFtoCNF_X1)) )],[refute_0_2003,refute_0_2006]) ).
cnf(refute_0_2008,plain,
( converse(complement(converse(skolemFOFtoCNF_X1))) != meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1))
| meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) != complement(skolemFOFtoCNF_X1)
| converse(complement(converse(skolemFOFtoCNF_X1))) = complement(skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) ),[0],$fot(meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2009,plain,
( converse(complement(converse(skolemFOFtoCNF_X1))) != meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1))
| converse(complement(converse(skolemFOFtoCNF_X1))) = complement(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X1)) )],[refute_0_2007,refute_0_2008]) ).
cnf(refute_0_2010,plain,
converse(complement(converse(skolemFOFtoCNF_X1))) = complement(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X1))),meet(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1))) )],[refute_0_2000,refute_0_2009]) ).
cnf(refute_0_2011,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))) = meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),
introduced(tautology,[refl,[$fot(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_2012,plain,
( converse(complement(converse(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X1)
| meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))) != meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))
| meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))) = meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) ),[1,1],$fot(complement(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_2013,plain,
( converse(complement(converse(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X1)
| meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))) = meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) )],[refute_0_2011,refute_0_2012]) ).
cnf(refute_0_2014,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))) = meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) )],[refute_0_2010,refute_0_2013]) ).
cnf(refute_0_2015,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) != complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))) != meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))
| meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),bind(Y,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)))),bind(Z,$fot(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2016,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)) != complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1))) )],[refute_0_2014,refute_0_2015]) ).
cnf(refute_0_2017,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))) = complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X1)),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) )],[refute_0_1757,refute_0_2016]) ).
cnf(refute_0_2018,plain,
converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) = converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))),
introduced(tautology,[refl,[$fot(converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_2019,plain,
( converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) != converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))
| meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))) != complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) = converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))),converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) ),[1,0],$fot(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2020,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))) != complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))
| converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) = converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))),converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) )],[refute_0_2018,refute_0_2019]) ).
cnf(refute_0_2021,plain,
converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) = converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))),complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))) )],[refute_0_2017,refute_0_2020]) ).
cnf(refute_0_2022,plain,
join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))))]]) ).
cnf(refute_0_2023,plain,
( converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) != converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) != join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))) ),[1,1],$fot(converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2024,plain,
( converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))) != converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))))) )],[refute_0_2022,refute_0_2023]) ).
cnf(refute_0_2025,plain,
join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1))))),converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) )],[refute_0_2021,refute_0_2024]) ).
cnf(refute_0_2026,plain,
( join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != converse(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) != join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = converse(complement(skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_2027,plain,
( join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))) != converse(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = converse(complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2025,refute_0_2026]) ).
cnf(refute_0_2028,plain,
join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) = converse(complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(join(skolemFOFtoCNF_X1,converse(skolemFOFtoCNF_X0))))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_890,refute_0_2027]) ).
cnf(refute_0_2029,plain,
( join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) != complement(converse(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) != converse(complement(skolemFOFtoCNF_X1))
| converse(complement(skolemFOFtoCNF_X1)) = complement(converse(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),complement(converse(skolemFOFtoCNF_X1))) ),[0],$fot(converse(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2030,plain,
( join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))) != complement(converse(skolemFOFtoCNF_X1))
| converse(complement(skolemFOFtoCNF_X1)) = complement(converse(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),converse(complement(skolemFOFtoCNF_X1))) )],[refute_0_2028,refute_0_2029]) ).
cnf(refute_0_2031,plain,
converse(complement(skolemFOFtoCNF_X1)) = complement(converse(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(skolemFOFtoCNF_X1)))))),complement(converse(skolemFOFtoCNF_X1))) )],[refute_0_1500,refute_0_2030]) ).
cnf(refute_0_2032,plain,
join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_2033,plain,
( converse(complement(skolemFOFtoCNF_X1)) != complement(converse(skolemFOFtoCNF_X1))
| join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) != join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))
| join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2034,plain,
( converse(complement(skolemFOFtoCNF_X1)) != complement(converse(skolemFOFtoCNF_X1))
| join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1)))) )],[refute_0_2032,refute_0_2033]) ).
cnf(refute_0_2035,plain,
join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X1)),complement(converse(skolemFOFtoCNF_X1))) )],[refute_0_2031,refute_0_2034]) ).
cnf(refute_0_2036,plain,
( join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X1))) != complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))
| join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) != join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X1)))
| join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X1))))),bind(Z,$fot(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_2037,plain,
( join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X1))) != complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))
| join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X1)))) )],[refute_0_2035,refute_0_2036]) ).
cnf(refute_0_2038,plain,
join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X1))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) )],[refute_0_1011,refute_0_2037]) ).
cnf(refute_0_2039,plain,
( join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) != complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))
| join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) != top
| complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),top) ),[0],$fot(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_2040,plain,
( join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))) != top
| complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) = top ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) )],[refute_0_2038,refute_0_2039]) ).
cnf(refute_0_2041,plain,
complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) = top,
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X1))),top) )],[refute_0_1010,refute_0_2040]) ).
cnf(refute_0_2042,plain,
( complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) != top
| meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) != complement(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))
| meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),complement(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2043,plain,
( meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) != complement(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))
| meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),top) )],[refute_0_2041,refute_0_2042]) ).
cnf(refute_0_2044,plain,
meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) = complement(top),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),complement(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))) )],[refute_0_360,refute_0_2043]) ).
cnf(refute_0_2045,plain,
( complement(top) != zero
| meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) != complement(top)
| meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2046,plain,
( meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) != complement(top)
| meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_217,refute_0_2045]) ).
cnf(refute_0_2047,plain,
meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) = zero,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),complement(top)) )],[refute_0_2044,refute_0_2046]) ).
cnf(refute_0_2048,plain,
meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)) != zero,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_2049,plain,
$false,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),zero) )],[refute_0_2047,refute_0_2048]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : REL006+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jul 8 11:28:43 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.54/2.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.54/2.72
% 2.54/2.72 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.77/2.99
%------------------------------------------------------------------------------